diff --git a/LICENSE b/LICENSE
--- a/LICENSE
+++ b/LICENSE
@@ -1,4 +1,4 @@
-Copyright 2012 Edward Kmett
+Copyright 2012-2015 Edward Kmett
 
 All rights reserved.
 
diff --git a/Numeric/Integration/TanhSinh.hs b/Numeric/Integration/TanhSinh.hs
deleted file mode 100644
--- a/Numeric/Integration/TanhSinh.hs
+++ /dev/null
@@ -1,567 +0,0 @@
-{-# LANGUAGE BangPatterns, PatternGuards #-}
------------------------------------------------------------------------------
--- |
--- Module      :  Numeric.Integration.TanhSinh
--- Copyright   :  (C) 2012 Edward Kmett
--- License     :  BSD-style (see the file LICENSE)
---
--- Maintainer  :  Edward Kmett <ekmett@gmail.com>
--- Stability   :  provisional
--- Portability :  portable
---
--- An implementation of Takahashi and Mori's
--- <http://en.wikipedia.org/wiki/Tanh-sinh_quadrature Tanh-Sinh quadrature>.
---
--- Tanh-Sinh provides good results across a wide-range
--- of functions and is pretty much as close to a
--- universal quadrature scheme as is possible. It is also
--- robust against error in the presence of singularities at
--- the endpoints of the integral.
---
--- The change of basis is precomputed, and information is
--- gained quadratically in the number of digits.
---
--- > ghci> absolute 1e-6 $ parTrap sin (pi/2) pi
--- > Result {result = 0.9999999999999312, errorEstimate = 2.721789573237518e-10, evaluations = 25}
---
--- > ghci> confidence $ absolute 1e-6 $ trap sin (pi/2) pi
--- > (0.9999999997277522,1.0000000002721101)
---
--- Unlike most quadrature schemes, this method is also fairly robust against
--- singularities at the end points.
---
--- > ghci> absolute 1e-6 $ trap (recip . sqrt . sin) 0 1
--- > Result {result = 2.03480500404275, errorEstimate = 6.349514558579017e-8, evaluations = 49}
---
--- See John D. Cook's <http://www.johndcook.com/blog/2012/02/21/care-and-treatment-of-singularities/ "Care and Treatment of Singularities">
--- for a sense of how more naïve quadrature schemes fare.
-----------------------------------------------------------------------------
-module Numeric.Integration.TanhSinh
-  (
-  -- * Quadrature methods
-    trap -- Trapezoid rule for Tanh-Sinh quadrature
-  , simpson -- Simpson's rule for Tanh-Sinh quadrature
-  , trap'
-  , simpson'
-  , parTrap
-  , parSimpson
-  , Result(..)
-  -- * Estimated error bounds
-  , absolute -- absolute error
-  , relative -- relative error
-  -- * Confidence intervals
-  , confidence
-  -- * Changes of variables
-  , nonNegative
-  , everywhere
-  ) where
-
-import Control.Parallel.Strategies
-import Data.List (foldl')
-
--- | Integral with an result and an estimate of the error such that
--- @(result - errorEstimate, result + errorEstimate)@ /probably/ bounds 
--- the actual answer.
-data Result = Result
-  { result        :: {-# UNPACK #-} !Double
-  , errorEstimate :: {-# UNPACK #-} !Double
-  , evaluations   :: {-# UNPACK #-} !Int
-  } deriving (Read,Show,Eq,Ord)
-
--- | Convert a Result to a confidence interval
-confidence :: Result -> (Double, Double)
-confidence (Result a b _) = (a - b, a + b)
-
--- | Filter a list of results using a specified absolute error bound
-absolute :: Double -> [Result] -> Result
-absolute targetError = go where
-  go [] = error "no result"
-  go [r] = r
-  go (r@(Result _ e _):rs)
-    | e < targetError*0.1 = r
-    | otherwise = absolute targetError rs
-
--- | Filter a list of results using a specified relative error bound
-relative :: Double -> [Result] -> Result
-relative _ [] = error "no result"
-relative _ [r] = r
-relative targetError (r'@(Result a _ _):rs') = go a r' rs' where
-  go olds _ (r@(Result s e _):rs)
-    | abs (s - olds) < targetError * e || s == 0 && olds == 0 = r
-    | otherwise                                               = go s r rs
-  go _ oldr [] = oldr
-
-m_huge :: Double
-m_huge = 1/0 -- 1.7976931348623157e308
-
--- | Integrate a function from 0 to infinity by using the change of variables @x = t/(1-t)@
---
--- This works /much/ better than just clipping the interval at some arbitrary large number.
-nonNegative :: ((Double -> Double) -> Double -> Double -> r) -> (Double -> Double) -> r
-nonNegative method f = method (\t -> f(t/(1-t))/square(1-t)) 0 1 where
-  square x = x * x
-
--- | Integrate from -inf to inf using tanh-sinh quadrature after using the change of variables @x = tan t@
---
--- > everywhere trap (\x -> exp(-x*x))
---
--- This works /much/ better than just clipping the interval at arbitrary large and small numbers.
-
--- TODO: build a custom set of change of variable tables
-everywhere :: ((Double -> Double) -> Double -> Double -> r) -> (Double -> Double) -> r
-everywhere method f = method (\t -> let tant = tan t in f tant * (1 + tant * tant)) (-pi/2) (pi/2)
-
--- | Integration using a truncated trapezoid rule and tanh-sinh quadrature with a specified evaluation strategy
-trap' :: Strategy [Double] -> (Double -> Double) -> Double -> Double -> [Result]
-trap' nf f a b = go (0 :: Int) (i0+i1) (abs (i1-i0)) m_huge dd where
-  go !k !t !old_delta !err (ds:dds) = res t' err' k : go (k+1) t' delta err' dds
-    where
-      !ht' = tr ds
-      !ht = 0.5*t
-      !t' = ht'+ht
-      !delta = abs (ht'-ht)
-      !err' | delta == 0 || old_delta == 0                         = err
-            | r <- log delta / log old_delta, 1.99 < r && r < 2.01 = delta*delta
-            | otherwise                                            = delta
-  go !k !t !_ !err [] = [res t err k]
-  res i e k = Result (i*c) (e*c) (1 + 12*(2^k))
-  c  = 0.5 * (b - a)
-  d  = 0.5 * (a + b)
-  i0 = w0 * f d + tr dd0
-  i1 = tr dd1
-  tr xs = foldl' (+) 0 (map (\(DD i w) -> let !ci = c * i in w*(f(d+ci)+f(d-ci))) xs `using` nf)
-
--- | Integration using a truncated trapezoid rule under tanh-sinh quadrature
-trap :: (Double -> Double) -> Double -> Double -> [Result]
-trap = trap' r0
-
--- | Integration using a truncated trapezoid rule under tanh-sinh quadrature with buffered parallel evaluation
-parTrap :: (Double -> Double) -> Double -> Double -> [Result]
-parTrap = trap' (parBuffer 32 rseq)
-
--- | Integration using a truncated Simpson's rule under tanh-sinh quadrature with a specified evaluation strategy
-simpson' :: Strategy [Double] -> (Double -> Double) -> Double -> Double -> [Result]
-simpson' nf f a b = go (0 :: Int) i01 (i01*4/3) (abs (i1-i0)) m_huge dd where
-  go !k !t !s !old_delta !err (ds:dds) = res s' err' k : go (k+1) t' s' delta err' dds
-    where
-      !ht' = tr ds
-      !ht = 0.5*t
-      !t' = ht'+ht
-      !s' = (4*t'-t)/3
-      !delta = abs (s'-s)
-      !err' | delta == 0 || old_delta == 0                         = err
-            | r <- log delta / log old_delta, 1.99 < r && r < 2.01 = delta*delta
-            | otherwise                                            = delta
-  go !k _ !s !_ !err [] = [res s err k]
-  res i e k = Result (i*c) (e*c) (1 + 12*(2^k))
-  c  = 0.5 * (b - a)
-  d  = 0.5 * (a + b)
-  i0 = w0 * f d + tr dd0
-  i1 = tr dd1
-  i01 = i0 + i1
-  tr xs = foldl' (+) 0 (map (\(DD i w) -> let !ci = c * i in w*(f(d+ci)+f(d-ci))) xs `using` nf)
-
--- | Integration using a truncated Simpson's rule under tanh-sinh quadrature
-simpson :: (Double -> Double) -> Double -> Double -> [Result]
-simpson = simpson' r0
-
--- | Integration using a truncated Simpson's rule under tanh-sinh quadrature with buffered parallel evaluation
-parSimpson  :: (Double -> Double) -> Double -> Double -> [Result]
-parSimpson = simpson' (parBuffer 32 rseq)
-
-data DD = DD {-# UNPACK #-} !Double {-# UNPACK #-} !Double
-  deriving Show
-
-w0 :: Double
-w0 = 0.7853981633974483
-
-dd0, dd1 :: [DD]
-dd0 = [DD 0.9513679640727469 0.11501119725739434,DD 0.9999774771924616 1.3310025687635846e-4,DD 0.999999999999957 3.395446068634773e-13]
-dd1 = [DD 0.6742714922484359 0.4829882897061506,DD 0.9975148564572244 9.171583494963921e-3,DD 0.9999999888756649 1.071560227847152e-7]
-
-dd :: [[DD]]
-dd = [
- [DD 0.3772097381640342 0.3474036898118141,
-  DD 0.8595690586898966 0.1327695688570135,
-  DD 0.9870405605073769 1.9096435892708076e-2,
-  DD 0.9996882640283532 7.256294369753284e-4,
-  DD 0.9999992047371147 2.99592534079268e-6,
-  DD 0.9999999999528565 2.9077914535639456e-10],
-
- [DD 0.19435700332493544 0.19041046482933816,
-  DD 0.5391467053879677 0.14918287823114462,
-  DD 0.7806074389832003 9.217973104519347e-2,
-  DD 0.9148792632645746 4.505767730866796e-2,
-  DD 0.9739668681956775 1.7177763466645967e-2,
-  DD 0.9940555066314022 4.896875686700097e-3,
-  DD 0.9990651964557858 9.678251282580301e-4,
-  DD 0.999909384695144 1.1874335053543359e-4,
-  DD 0.9999953160412205 7.810319905093011e-6,
-  DD 0.9999998927816124 2.2829150742138325e-7,
-  DD 0.9999999991427051 2.3359102835920513e-9,
-  DD 0.9999999999982322 6.172317347078991e-12],
-
- [DD 9.792388528783233e-2 9.742333472083313e-2,
-  DD 0.2878799327427159 9.162590166981036e-2,
-  DD 0.46125354393958573 8.109223440156113e-2,
-  DD 0.610273657500639 6.76021865931294e-2,
-  DD 0.7310180347925616 5.313580352853876e-2,
-  DD 0.8233170055064024 3.940032094779648e-2,
-  DD 0.8898914027842602 2.755207726711614e-2,
-  DD 0.9351608575219846 1.8140042457028386e-2,
-  DD 0.9641121642235473 1.1207775756920519e-2,
-  DD 0.9814548266773352 6.464509638958307e-3,
-  DD 0.9911269924416988 3.4556052338900363e-3,
-  DD 0.9961086654375085 1.6958443758570002e-3,
-  DD 0.9984542087676977 7.55221474947372e-4,
-  DD 0.9994514344352746 3.0101863399552894e-4,
-  DD 0.9998288220728749 1.0567962488391497e-4,
-  DD 0.9999538710056279 3.208711400424396e-5,
-  DD 0.9999894820148185 8.253271328506235e-6,
-  DD 0.9999980171405954 1.7568852704962584e-6,
-  DD 0.9999996988941526 3.014823877038469e-7,
-  DD 0.9999999642390809 4.048597877245607e-8,
-  DD 0.9999999967871991 4.114699070448963e-9,
-  DD 0.9999999997897329 3.047503810890039e-10,
-  DD 0.9999999999903939 1.5760217449081342e-11,
-  DD 0.9999999999997081 5.422457134362253e-13],
-
- [DD 4.9055967305077885e-2 4.899316972835068e-2,
-  DD 0.14641798429058794 4.8246284880529976e-2,
-  DD 0.24156631953888366 4.678831945440738e-2,
-  DD 0.33314226457763807 4.4687761089759366e-2,
-  DD 0.41995211127844717 4.203996514894536e-2,
-  DD 0.5010133893793091 3.8959412732870555e-2,
-  DD 0.5755844906351517 3.557100760550954e-2,
-  DD 0.6431767589852047 3.200140415974411e-2,
-  DD 0.703550005147142 2.837123059859048e-2,
-  DD 0.75669390863373 2.4788834400641148e-2,
-  DD 0.8027987413432413 2.1345891135758244e-2,
-  DD 0.8422192463507568 1.8114940721493365e-2,
-  DD 0.8754353976304087 1.5148690350461106e-2,
-  DD 0.9030132815135739 1.248077317267866e-2,
-  DD 0.9255686340686127 1.0127579362860278e-2,
-  DD 0.9437347860527572 8.090769984814172e-3,
-  DD 0.9581360227102137 6.360124964331305e-3,
-  DD 0.9693667328969173 4.916443858886442e-3,
-  DD 0.977976235186665 3.7342941027717477e-3,
-  DD 0.9844588311674308 2.7844731012794206e-3,
-  DD 0.9892484310901339 2.0361104197667563e-3,
-  DD 0.9927169971968273 1.4583815017139568e-3,
-  DD 0.9951760261553274 1.0218353977065322e-3,
-  DD 0.9968803181281919 6.993584707390149e-4,
-  DD 0.9980333363154338 4.6680734675156655e-4,
-  DD 0.9987935342988059 3.033507418559903e-4,
-  DD 0.9992811119217919 1.915636760025947e-4,
-  DD 0.9995847503515176 1.1732034304474483e-4,
-  DD 0.9997679715995609 6.953383457745758e-5,
-  DD 0.9998748650487803 3.979149827213244e-5,
-  DD 0.9999350199250824 2.193310986513257e-5,
-  DD 0.9999675930679435 1.16145917567743e-5,
-  DD 0.9999845199022708 5.89263843021885e-6,
-  DD 0.9999929378766629 2.8559630465846914e-6,
-  DD 0.9999969324491904 1.318224495054925e-6,
-  DD 0.9999987354718659 5.775566749962256e-7,
-  DD 0.9999995070057195 2.393617453912599e-7,
-  DD 0.9999998188937128 9.34894246191837e-8,
-  DD 0.9999999375540783 3.4277609768441454e-8,
-  DD 0.9999999798745032 1.1748566206987696e-8,
-  DD 0.9999999939641342 3.7476383696571155e-9,
-  DD 0.999999998323362 1.107336786606936e-9,
-  DD 0.9999999995707878 3.015590280034051e-10,
-  DD 0.9999999998992777 7.528679142648731e-11,
-  DD 0.9999999999784553 1.713386181159218e-11,
-  DD 0.9999999999958246 3.5331422960920875e-12,
-  DD 0.9999999999992715 6.559167313909834e-13,
-  DD 0.9999999999998863 1.088810552195658e-13],
-
- [DD 2.453976357464916e-2 2.4531906707493643e-2,
-  DD 7.352512298567129e-2 2.443783443395675e-2,
-  DD 0.12222912220155764 2.4250830778834564e-2,
-  DD 0.17046797238201053 2.397315215866099e-2,
-  DD 0.218063473469712 2.3608120673033903e-2,
-  DD 0.26484507658344797 2.316005152946153e-2,
-  DD 0.310651780552846 2.2634160233770666e-2,
-  DD 0.35533382516507456 2.2036452678847795e-2,
-  DD 0.3987541504672378 2.1373601745014008e-2,
-  DD 0.44078959903390086 2.065281433505895e-2,
-  DD 0.48133184611690505 1.9881692899029104e-2,
-  DD 0.5202880506912302 1.9068095462177474e-2,
-  DD 0.5575812282607783 1.821999796769429e-2,
-  DD 0.5931503535919531 1.7345362405708442e-2,
-  DD 0.6269502080510428 1.6452013749301043e-2,
-  DD 0.6589509917433501 1.5547528188220824e-2,
-  DD 0.6891377250616677 1.4639134574151062e-2,
-  DD 0.7175094674873241 1.373363039926222e-2,
-  DD 0.7440783835473473 1.2837313051046323e-2,
-  DD 0.7688686867682466 1.1955926545452439e-2,
-  DD 0.7919154923761421 1.1094623456335453e-2,
-  DD 0.8132636085029739 1.025794134580668e-2,
-  DD 0.8329662939194109 9.449792665287556e-3,
-  DD 0.8510840079878488 8.673466843806774e-3,
-  DD 0.867683175775646 7.931643106748563e-3,
-  DD 0.882834988244669 7.226412469615121e-3,
-  DD 0.896614254280076 6.559307319453367e-3,
-  DD 0.9090983181630204 5.931337021666432e-3,
-  DD 0.9203660530319528 5.343028061297138e-3,
-  DD 0.9304969379971534 4.794467334654952e-3,
-  DD 0.9395702239332747 4.285347338891689e-3,
-  DD 0.9476641906151531 3.8150121542162487e-3,
-  DD 0.9548554958050227 3.382503267457753e-3,
-  DD 0.9612186151511164 2.9866044395848047e-3,
-  DD 0.9668253703123558 2.6258849679417057e-3,
-  DD 0.9717445415654873 2.2987408321540146e-3,
-  DD 0.9760415602565767 2.0034333379875154e-3,
-  DD 0.9797782758006157 1.7381249841991332e-3,
-  DD 0.9830127914811011 1.5009123728935854e-3,
-  DD 0.9857993630252835 1.2898560642297147e-3,
-  DD 0.9881883538007427 1.103007342294797e-3,
-  DD 0.9902262404675277 9.384319118536922e-4,
-  DD 0.9919556630026776 7.942305870714137e-4,
-  DD 0.993415513169264 6.685570649644637e-4,
-  DD 0.9946410557125112 5.596329000655693e-4,
-  DD 0.9956640768169531 4.6575981433297074e-4,
-  DD 0.9965130546402537 3.8532948929302006e-4,
-  DD 0.9972133470434688 3.1683099714843944e-4,
-  DD 0.9977873919589065 2.5885603522261835e-4,
-  DD 0.9982549161719962 2.1010213445758955e-4,
-  DD 0.9986331486406774 1.6937401825399854e-4,
-  DD 0.9989370348335121 1.355832929615497e-4,
-  DD 0.999179448934886 1.077466557666563e-4,
-  DD 0.9993714011409377 8.498280933787498e-5,
-  DD 0.9995222376512172 6.650827498465403e-5,
-  DD 0.9996398313456004 5.1632296781794225e-5,
-  DD 0.9997307615198084 3.9751027617643327e-5,
-  DD 0.9998004814311384 3.0341183999755742e-5,
-  DD 0.9998534727731114 2.295334937410905e-5,
-  DD 0.9998933865475925 1.7205095522686537e-5,
-  DD 0.9999231701292893 1.2774078333198358e-5,
-  DD 0.9999451806144587 9.391248123616785e-6,
-  DD 0.9999612848078566 6.834296189986201e-6,
-  DD 0.9999729464252323 4.921438935315812e-6,
-  DD 0.9999813012701207 3.5056195632825857e-6,
-  DD 0.9999872212820007 2.469185687609561e-6,
-  DD 0.9999913684483449 1.7190801322916715e-6,
-  DD 0.9999942396276167 1.182562446659398e-6,
-  DD 0.9999962033471662 8.034608976196688e-7,
-  DD 0.9999975296238052 5.389394493647375e-7,
-  DD 0.9999984138109648 3.567518454536898e-7,
-  DD 0.9999989954106899 2.3294553174797826e-7,
-  DD 0.9999993727073354 1.499717832559136e-7,
-  DD 0.9999996139885502 9.515484425148287e-8,
-  DD 0.9999997660233324 5.947184885100765e-8,
-  DD 0.9999998603712146 3.659635501332515e-8,
-  DD 0.9999999180047947 2.2161042430459245e-8,
-  DD 0.9999999526426645 1.3199024435134353e-8,
-  DD 0.999999973113236 7.727857609805343e-9,
-  DD 0.9999999850030763 4.44530057174372e-9,
-  DD 0.999999991786456 2.5108429029806602e-9,
-  DD 0.9999999955856336 1.3917405490662874e-9,
-  DD 0.9999999976732368 7.565773468448808e-10,
-  DD 0.9999999987979835 4.0311825358649834e-10,
-  DD 0.9999999993917769 2.1038508628596934e-10,
-  DD 0.9999999996987544 1.0747595461859219e-10,
-  DD 0.9999999998540561 5.3706026163515766e-11,
-  DD 0.9999999999308884 2.6232652628377978e-11,
-  DD 0.9999999999680332 1.251559132495776e-11,
-  DD 0.9999999999855688 5.828047162976999e-12,
-  DD 0.9999999999936463 2.64679027959557e-12,
-  DD 0.9999999999972741 1.1713655870909097e-12,
-  DD 0.9999999999988612 5.047572552070682e-13,
-  DD 0.9999999999995373 2.116017642552543e-13,
-  DD 0.9999999999998171 8.622245229402326e-14,
-  DD 0.9999999999999298 3.411862828005251e-14],
-
- [DD 1.2271355118082201e-2 1.2270372785455275e-2,
-  DD 3.6802280950025086e-2 1.2258591369934915e-2,
-  DD 6.1297889413659976e-2 1.2235064366542666e-2,
-  DD 8.573475487765106e-2 1.219986323040477e-2,
-  DD 0.11008962993262801 1.2153094645559847e-2,
-  DD 0.13433951528767224 1.2094899931527792e-2,
-  DD 0.1584617282892995 1.2025454260249077e-2,
-  DD 0.18243396969028916 1.1944965690270162e-2,
-  DD 0.20623438831102878 1.185367402660199e-2,
-  DD 0.22984164325436077 1.1751849516122478e-2,
-  DD 0.2532349633560002 1.1639791389713258e-2,
-  DD 0.2763942035761786 1.1517826263500622e-2,
-  DD 0.29929989806396046 1.1386306412598036e-2,
-  DD 0.3219333096533692 1.1245607931612554e-2,
-  DD 0.3442764755797049 1.1096128796872587e-2,
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-
diff --git a/integration.cabal b/integration.cabal
--- a/integration.cabal
+++ b/integration.cabal
@@ -1,6 +1,6 @@
 name:                integration
-version:             0.2.0.1
-stability:           experimental
+version:             0.2.1
+stability:           provisional
 synopsis:            Fast robust numeric integration via tanh-sinh quadrature
 description:         Fast robust numeric integration via tanh-sinh quadrature
 homepage:            https://github.com/ekmett/integration
@@ -8,6 +8,7 @@
 license-file:        LICENSE
 author:              Edward Kmett
 maintainer:          Edward Kmett <ekmett@gmail.com>
+copyright:           Copyright (C) 2012-2015 Edward A. Kmett
 category:            Graphics
 build-type:          Simple
 cabal-version:       >=1.6
@@ -22,7 +23,9 @@
 
   exposed-modules: Numeric.Integration.TanhSinh
 
-  ghc-options: -O2 -fexcess-precision -Wall -O2 -fspec-constr -fliberate-case -fstatic-argument-transformation -fspec-constr-count=10
+  hs-source-dirs: src
+
+  ghc-options: -O2 -fexcess-precision -Wall -fspec-constr -fliberate-case -fstatic-argument-transformation -fspec-constr-count=10
 
 source-repository head
   type: git
diff --git a/src/Numeric/Integration/TanhSinh.hs b/src/Numeric/Integration/TanhSinh.hs
new file mode 100644
--- /dev/null
+++ b/src/Numeric/Integration/TanhSinh.hs
@@ -0,0 +1,567 @@
+{-# LANGUAGE BangPatterns, PatternGuards #-}
+-----------------------------------------------------------------------------
+-- |
+-- Module      :  Numeric.Integration.TanhSinh
+-- Copyright   :  (C) 2012-2015 Edward Kmett
+-- License     :  BSD-style (see the file LICENSE)
+--
+-- Maintainer  :  Edward Kmett <ekmett@gmail.com>
+-- Stability   :  provisional
+-- Portability :  portable
+--
+-- An implementation of Takahashi and Mori's
+-- <http://en.wikipedia.org/wiki/Tanh-sinh_quadrature Tanh-Sinh quadrature>.
+--
+-- Tanh-Sinh provides good results across a wide-range
+-- of functions and is pretty much as close to a
+-- universal quadrature scheme as is possible. It is also
+-- robust against error in the presence of singularities at
+-- the endpoints of the integral.
+--
+-- The change of basis is precomputed, and information is
+-- gained quadratically in the number of digits.
+--
+-- > ghci> absolute 1e-6 $ parTrap sin (pi/2) pi
+-- > Result {result = 0.9999999999999312, errorEstimate = 2.721789573237518e-10, evaluations = 25}
+--
+-- > ghci> confidence $ absolute 1e-6 $ trap sin (pi/2) pi
+-- > (0.9999999997277522,1.0000000002721101)
+--
+-- Unlike most quadrature schemes, this method is also fairly robust against
+-- singularities at the end points.
+--
+-- > ghci> absolute 1e-6 $ trap (recip . sqrt . sin) 0 1
+-- > Result {result = 2.03480500404275, errorEstimate = 6.349514558579017e-8, evaluations = 49}
+--
+-- See John D. Cook's <http://www.johndcook.com/blog/2012/02/21/care-and-treatment-of-singularities/ "Care and Treatment of Singularities">
+-- for a sense of how more naïve quadrature schemes fare.
+----------------------------------------------------------------------------
+module Numeric.Integration.TanhSinh
+  (
+  -- * Quadrature methods
+    trap -- Trapezoid rule for Tanh-Sinh quadrature
+  , simpson -- Simpson's rule for Tanh-Sinh quadrature
+  , trap'
+  , simpson'
+  , parTrap
+  , parSimpson
+  , Result(..)
+  -- * Estimated error bounds
+  , absolute -- absolute error
+  , relative -- relative error
+  -- * Confidence intervals
+  , confidence
+  -- * Changes of variables
+  , nonNegative
+  , everywhere
+  ) where
+
+import Control.Parallel.Strategies
+import Data.List (foldl')
+
+-- | Integral with an result and an estimate of the error such that
+-- @(result - errorEstimate, result + errorEstimate)@ /probably/ bounds 
+-- the actual answer.
+data Result = Result
+  { result        :: {-# UNPACK #-} !Double
+  , errorEstimate :: {-# UNPACK #-} !Double
+  , evaluations   :: {-# UNPACK #-} !Int
+  } deriving (Read,Show,Eq,Ord)
+
+-- | Convert a Result to a confidence interval
+confidence :: Result -> (Double, Double)
+confidence (Result a b _) = (a - b, a + b)
+
+-- | Filter a list of results using a specified absolute error bound
+absolute :: Double -> [Result] -> Result
+absolute targetError = go where
+  go [] = error "no result"
+  go [r] = r
+  go (r@(Result _ e _):rs)
+    | e < targetError*0.1 = r
+    | otherwise = absolute targetError rs
+
+-- | Filter a list of results using a specified relative error bound
+relative :: Double -> [Result] -> Result
+relative _ [] = error "no result"
+relative _ [r] = r
+relative targetError (r'@(Result a _ _):rs') = go a r' rs' where
+  go olds _ (r@(Result s e _):rs)
+    | abs (s - olds) < targetError * e || s == 0 && olds == 0 = r
+    | otherwise                                               = go s r rs
+  go _ oldr [] = oldr
+
+m_huge :: Double
+m_huge = 1/0 -- 1.7976931348623157e308
+
+-- | Integrate a function from 0 to infinity by using the change of variables @x = t/(1-t)@
+--
+-- This works /much/ better than just clipping the interval at some arbitrary large number.
+nonNegative :: ((Double -> Double) -> Double -> Double -> r) -> (Double -> Double) -> r
+nonNegative method f = method (\t -> f(t/(1-t))/square(1-t)) 0 1 where
+  square x = x * x
+
+-- | Integrate from -inf to inf using tanh-sinh quadrature after using the change of variables @x = tan t@
+--
+-- > everywhere trap (\x -> exp(-x*x))
+--
+-- This works /much/ better than just clipping the interval at arbitrary large and small numbers.
+
+-- TODO: build a custom set of change of variable tables
+everywhere :: ((Double -> Double) -> Double -> Double -> r) -> (Double -> Double) -> r
+everywhere method f = method (\t -> let tant = tan t in f tant * (1 + tant * tant)) (-pi/2) (pi/2)
+
+-- | Integration using a truncated trapezoid rule and tanh-sinh quadrature with a specified evaluation strategy
+trap' :: Strategy [Double] -> (Double -> Double) -> Double -> Double -> [Result]
+trap' nf f a b = go (0 :: Int) (i0+i1) (abs (i1-i0)) m_huge dd where
+  go !k !t !old_delta !err (ds:dds) = res t' err' k : go (k+1) t' delta err' dds
+    where
+      !ht' = tr ds
+      !ht = 0.5*t
+      !t' = ht'+ht
+      !delta = abs (ht'-ht)
+      !err' | delta == 0 || old_delta == 0                       = err
+            | r <- logBase old_delta delta, 1.99 < r && r < 2.01 = delta*delta
+            | otherwise                                          = delta
+  go !k !t !_ !err [] = [res t err k]
+  res i e k = Result (i*c) (e*c) (1 + 12*(2^k))
+  c  = 0.5 * (b - a)
+  d  = 0.5 * (a + b)
+  i0 = w0 * f d + tr dd0
+  i1 = tr dd1
+  tr xs = foldl' (+) 0 (map (\(DD i w) -> let !ci = c * i in w*(f(d+ci)+f(d-ci))) xs `using` nf)
+
+-- | Integration using a truncated trapezoid rule under tanh-sinh quadrature
+trap :: (Double -> Double) -> Double -> Double -> [Result]
+trap = trap' r0
+
+-- | Integration using a truncated trapezoid rule under tanh-sinh quadrature with buffered parallel evaluation
+parTrap :: (Double -> Double) -> Double -> Double -> [Result]
+parTrap = trap' (parBuffer 32 rseq)
+
+-- | Integration using a truncated Simpson's rule under tanh-sinh quadrature with a specified evaluation strategy
+simpson' :: Strategy [Double] -> (Double -> Double) -> Double -> Double -> [Result]
+simpson' nf f a b = go (0 :: Int) i01 (i01*4/3) (abs (i1-i0)) m_huge dd where
+  go !k !t !s !old_delta !err (ds:dds) = res s' err' k : go (k+1) t' s' delta err' dds
+    where
+      !ht' = tr ds
+      !ht = 0.5*t
+      !t' = ht'+ht
+      !s' = (4*t'-t)/3
+      !delta = abs (s'-s)
+      !err' | delta == 0 || old_delta == 0                       = err
+            | r <- logBase old_delta delta, 1.99 < r && r < 2.01 = delta*delta
+            | otherwise                                          = delta
+  go !k _ !s !_ !err [] = [res s err k]
+  res i e k = Result (i*c) (e*c) (1 + 12*(2^k))
+  c  = 0.5 * (b - a)
+  d  = 0.5 * (a + b)
+  i0 = w0 * f d + tr dd0
+  i1 = tr dd1
+  i01 = i0 + i1
+  tr xs = foldl' (+) 0 (map (\(DD i w) -> let !ci = c * i in w*(f(d+ci)+f(d-ci))) xs `using` nf)
+
+-- | Integration using a truncated Simpson's rule under tanh-sinh quadrature
+simpson :: (Double -> Double) -> Double -> Double -> [Result]
+simpson = simpson' r0
+
+-- | Integration using a truncated Simpson's rule under tanh-sinh quadrature with buffered parallel evaluation
+parSimpson  :: (Double -> Double) -> Double -> Double -> [Result]
+parSimpson = simpson' (parBuffer 32 rseq)
+
+data DD = DD {-# UNPACK #-} !Double {-# UNPACK #-} !Double
+  deriving Show
+
+w0 :: Double
+w0 = 0.7853981633974483
+
+dd0, dd1 :: [DD]
+dd0 = [DD 0.9513679640727469 0.11501119725739434,DD 0.9999774771924616 1.3310025687635846e-4,DD 0.999999999999957 3.395446068634773e-13]
+dd1 = [DD 0.6742714922484359 0.4829882897061506,DD 0.9975148564572244 9.171583494963921e-3,DD 0.9999999888756649 1.071560227847152e-7]
+
+dd :: [[DD]]
+dd = [
+ [DD 0.3772097381640342 0.3474036898118141,
+  DD 0.8595690586898966 0.1327695688570135,
+  DD 0.9870405605073769 1.9096435892708076e-2,
+  DD 0.9996882640283532 7.256294369753284e-4,
+  DD 0.9999992047371147 2.99592534079268e-6,
+  DD 0.9999999999528565 2.9077914535639456e-10],
+
+ [DD 0.19435700332493544 0.19041046482933816,
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