{"bit_width":64,"date":1470314596,"note":"regression","iterations":2,"flags":["rules:arithmetic","rules:polynomials","rules:fractions","rules:exponents","rules:trigonometry","setup:simplify","reduce:post-process","reduce:taylor","reduce:simplify","reduce:avg-error","generate:rr","generate:taylor","generate:simplify","precision:double"],"seed":"#(1066021830 2830721961 259995540 547417586 81053319 3982124210)","points":256,"tests":[{"samplers":["default","default"],"bits":128,"start":0.027981203125901452,"link":"0-subtractionfraction","pinf":0,"ninf":0,"vars":["f","n"],"input":"(/ (- (+ f n)) (- f n))","time":3420.64013671875,"target":false,"output":"(/ 1 (/ (- f n) (- (+ f n))))","end":0.03456860937770434,"name":"subtraction fraction","status":"ex-start","end-est":0.041347509768442016},{"samplers":["default"],"bits":128,"start":0.49575,"link":"1-sqrttimes","pinf":0,"ninf":0,"vars":["x"],"input":"(* (sqrt (- x 1)) (sqrt x))","time":6011.469970703125,"target":false,"output":"(* (sqrt (- x 1)) (sqrt x))","end":0.49575,"name":"sqrt times","status":"ex-start","end-est":0.5078125},{"samplers":["default","default","default"],"bits":128,"start":14.955894936819208,"link":"2-rsinbcosabB","pinf":0,"ninf":0,"vars":["r","a","b"],"input":"(* r (/ (sin b) (cos (+ a b))))","time":13360.614990234375,"target":false,"output":"(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))","end":0.33550240941321446,"name":"r*sin(b)/cos(a+b), B","status":"imp-start","end-est":0.3132163224120927},{"samplers":["default","default","default"],"bits":128,"start":14.954073794840012,"link":"3-rsinbcosabA","pinf":0,"ninf":0,"vars":["r","a","b"],"input":"(/ (* r (sin b)) (cos (+ a b)))","time":13565.48486328125,"target":false,"output":"(* (/ r 1) (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))))","end":0.33592483571881976,"name":"r*sin(b)/cos(a+b), A","status":"imp-start","end-est":0.29384383016403537},{"samplers":["default"],"bits":128,"start":0.012431980636052444,"link":"4-neglog","pinf":0,"ninf":0,"vars":["x"],"input":"(- (log (- (/ 1 x) 1)))","time":4679.23095703125,"target":false,"output":"(- (log (- (/ 1 x) 1)))","end":0.012431980636052444,"name":"neg log","status":"ex-start","end-est":0},{"samplers":["default","default","default"],"bits":128,"start":19.536266603694695,"link":"5-jeffquadraticroot2","pinf":0,"ninf":0,"vars":["a","b","c"],"input":"(if (>= b 0) (/ (* 2 c) (- (- b) (sqrt (- (sqr b) (* (* 4 a) c))))) (/ (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c)))) (* 2 a)))","time":17336.949951171875,"target":false,"output":"(if (>= b 0) (/ (* 2 c) (- (- b) (sqr (sqrt (sqrt (- (sqr b) (* (* 4 a) c))))))) (/ (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c)))) (* 2 a)))","end":19.618976950350852,"name":"jeff quadratic root 2","status":"apx-start","end-est":15.663209312316523},{"samplers":["default","default","default"],"bits":128,"start":19.979158684500483,"link":"6-jeffquadraticroot1","pinf":0,"ninf":0,"vars":["a","b","c"],"input":"(if (>= b 0) (/ (- (- b) (sqrt (- (sqr b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c))))))","time":15687.3330078125,"target":false,"output":"(if (>= b 0) (/ (- (- b) (sqrt (- (sqr b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (- b) (sqr (sqrt (sqrt (- (sqr b) (* (* 4 a) c))))))))","end":20.062468648526508,"name":"jeff quadratic root 1","status":"apx-start","end-est":20.391114992469532},{"samplers":["default","default"],"bits":128,"start":0,"link":"7-fabsfraction2","pinf":0,"ninf":0,"vars":["a","b"],"input":"(/ (fabs (- a b)) 2)","time":1349.4560546875,"target":false,"output":"(/ (fabs (- a b)) 2)","end":0,"name":"fabs fraction 2","status":"ex-start","end-est":0},{"samplers":["default","default","default"],"bits":128,"start":1.65446081654343,"link":"8-fabsfraction1","pinf":0,"ninf":0,"vars":["x","y","z"],"input":"(fabs (- (/ (+ x 4) y) (* (/ x y) z)))","time":7885.583984375,"target":false,"output":"(fabs (- (/ (+ x 4) y) (* (/ x y) z)))","end":1.65446081654343,"name":"fabs fraction 1","status":"apx-start","end-est":1.8138934766203618},{"samplers":["default"],"bits":128,"start":0.017783238251382404,"link":"9-expnegsub","pinf":0,"ninf":0,"vars":["x"],"input":"(exp (- (- 1 (* x x))))","time":2583.2451171875,"target":false,"output":"(/ (pow (exp x) x) E)","end":0.01802144413776237,"name":"exp neg sub","status":"ex-start","end-est":0.01953125},{"samplers":["default","default"],"bits":128,"start":0.20960620312590145,"link":"10-VandenBroeckandKellerEquation24","pinf":0,"ninf":0,"vars":["B","x"],"input":"(+ (- (* x (cotan B))) (/ 1 (sin B)))","time":4701.51806640625,"target":false,"output":"(+ (- (/ x (tan B))) (/ 1 (sin B)))","end":0.14777124062518027,"name":"VandenBroeck and Keller, Equation (24)","status":"ex-start","end-est":0.15625},{"samplers":["default","default","default","default","default","default"],"bits":128,"start":false,"link":"11-TonioloandLinderEquation13","pinf":false,"ninf":false,"vars":["n","U","t","l","Om","U*"],"input":"(sqrt (* (* (* 2 n) U) (- (- t (* 2 (/ (sqr l) Om))) (* (* n (sqr (/ l Om))) (- U U*)))))","time":600000,"target":false,"output":"#f","end":false,"name":"Toniolo and Linder, Equation (13)","status":"timeout","end-est":false},{"samplers":["default","default","default"],"bits":128,"start":false,"link":"12-RandomJasonTimeoutTest015","pinf":false,"ninf":false,"vars":["a","b","c"],"input":"(sin (pow (sqrt (atan2 b b)) (- b a)))","time":600000,"target":false,"output":"#f","end":false,"name":"Random Jason Timeout Test 015","status":"timeout","end-est":false},{"samplers":["default","default","default","default"],"bits":128,"start":false,"link":"13-RandomJasonTimeoutTest014","pinf":false,"ninf":false,"vars":["a","b","c","d"],"input":"(fmod (sinh c) (- c (sqr -2.9807307601812193e+165)))","time":600000,"target":false,"output":"#f","end":false,"name":"Random Jason Timeout Test 014","status":"timeout","end-est":false},{"samplers":["default","default","default"],"bits":128,"start":false,"link":"14-RandomJasonTimeoutTest012","pinf":false,"ninf":false,"vars":["a","b","c"],"input":"(acos (pow (fmod (cosh a) (* a a)) (log1p a)))","time":600000,"target":false,"output":"#f","end":false,"name":"Random Jason Timeout Test 012","status":"timeout","end-est":false},{"samplers":["default"],"bits":128,"start":31.410035876471344,"link":"15-RandomJasonTimeoutTest011","pinf":0,"ninf":0,"vars":["a"],"input":"(pow (atan (fmod a (asin a))) (* a a))","time":18072.448974609375,"target":false,"output":"(pow (atan (fmod a (asin a))) (sqr a))","end":31.410035876471344,"name":"Random Jason Timeout Test 011","status":"apx-start","end-est":30.757113221006527},{"samplers":["default"],"bits":128,"start":0.2535,"link":"16-RandomJasonTimeoutTest010","pinf":0,"ninf":0,"vars":["a"],"input":"(/ a (- (acos a)))","time":2328.85595703125,"target":false,"output":"(/ a (- (acos a)))","end":0.2535,"name":"Random Jason Timeout Test 010","status":"ex-start","end-est":0.21484375},{"samplers":["default","default","default"],"bits":128,"start":false,"link":"17-RandomJasonTimeoutTest009","pinf":false,"ninf":false,"vars":["a","b","c"],"input":"(fabs (fmod c (asin (- 2.821952756469356e+184 b))))","time":12786.5400390625,"target":false,"output":"#f","end":false,"name":"Random Jason Timeout Test 009","status":"crash","end-est":false},{"samplers":["default"],"bits":128,"start":false,"link":"18-RandomJasonTimeoutTest006","pinf":false,"ninf":false,"vars":["a"],"input":"(fabs (fmod (atan2 (expm1 (sin (expm1 a))) (atan a)) a))","time":600000,"target":false,"output":"#f","end":false,"name":"Random Jason Timeout Test 006","status":"timeout","end-est":false},{"samplers":["default","default","default","default"],"bits":128,"start":false,"link":"19-RandomJasonTimeoutTest004","pinf":false,"ninf":false,"vars":["a","b","c","d"],"input":"(fmod (cosh c) (log1p a))","time":600000,"target":false,"output":"#f","end":false,"name":"Random Jason Timeout Test 004","status":"timeout","end-est":false},{"samplers":["default","default","default"],"bits":128,"start":false,"link":"20-RandomJasonTimeoutTest003","pinf":false,"ninf":false,"vars":["a","b","c"],"input":"(sin (pow (sqrt (atan2 b b)) (- b a)))","time":600000,"target":false,"output":"#f","end":false,"name":"Random Jason Timeout Test 003","status":"timeout","end-est":false},{"samplers":["default","default","default","default"],"bits":128,"start":false,"link":"21-RandomJasonTimeoutTest002","pinf":false,"ninf":false,"vars":["a","b","c","d"],"input":"(fmod (sinh c) (- c (sqr -2.9807307601812193e+165)))","time":600000,"target":false,"output":"#f","end":false,"name":"Random Jason Timeout Test 002","status":"timeout","end-est":false},{"samplers":["default","default","default"],"bits":2432,"start":false,"link":"22-RandomJasonTimeoutTest001","pinf":false,"ninf":false,"vars":["a","b","c"],"input":"(+ c (asin (cosh c)))","time":18461.333984375,"target":false,"output":"#f","end":false,"name":"Random Jason Timeout Test 001","status":"crash","end-est":false},{"samplers":["default","default","default","default","default"],"bits":128,"start":0.25068226123286896,"link":"23-NumericSpecFunctionslogGammaLfrommathfunctions0152","pinf":0,"ninf":0,"vars":["x","y","z","t","a"],"input":"(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))","time":37594.75,"target":false,"output":"(+ (+ (* (- a 0.5) (log t)) (log z)) (- (log (+ x y)) t))","end":0.25009645052660745,"name":"Numeric.SpecFunctions:logGammaL from math-functions-0.1.5.2","status":"ex-start","end-est":0.30576109730668344},{"samplers":["default","default","default","default","default","default","default","default"],"bits":128,"start":false,"link":"24-NumericSpecFunctionslogGammafrommathfunctions0152","pinf":false,"ninf":false,"vars":["x","y","z","t","a","b","c","i"],"input":"(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))","time":600000,"target":false,"output":"#f","end":false,"name":"Numeric.SpecFunctions:logGamma from math-functions-0.1.5.2","status":"timeout","end-est":false},{"samplers":["default","default","default","default","default","default","default"],"bits":128,"start":3.553559395745778,"link":"25-NumericSpecFunctionsinvIncompleteBetaWorkerfrommat","pinf":0,"ninf":0,"vars":["x","y","z","t","a","b","c"],"input":"(/ x (+ x (* y (exp (* 2.0 (- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))))))","time":20950.7978515625,"target":false,"output":"(/ x (+ x (* y (exp (* 2.0 (- (/ z (/ t (sqrt (+ t a)))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))))))","end":3.018194571322939,"name":"Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2","status":"apx-start","end-est":3.406272006391508},{"samplers":["default","default","default","default","default","default"],"bits":384,"start":false,"link":"26-NumericSpecFunctionsincompleteBetaWorkerfrommathfu","pinf":false,"ninf":false,"vars":["x","y","z","t","a","b"],"input":"(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)","time":8008.176025390625,"target":false,"output":"#f","end":false,"name":"Numeric.SpecFunctions:incompleteBetaWorker from math-functions-0.1.5.2","status":"crash","end-est":false},{"samplers":["default","default","default"],"bits":128,"start":33.50134759425894,"link":"27-NMSEproblem321","pinf":0,"ninf":0,"vars":["a","b/2","c"],"input":"(/ (- (- b/2) (sqrt (- (sqr b/2) (* a c)))) a)","time":12520.6611328125,"target":false,"output":"(/ (* (/ a 1) (/ c (+ (- b/2) (sqrt (- (sqr b/2) (* a c)))))) a)","end":32.559727456666,"name":"NMSE problem 3.2.1","status":"apx-start","end-est":33.04848456085823},{"samplers":["default","default","default","default","default","default","default","default"],"bits":128,"start":0.024945280303027634,"link":"28-LinearV4cdotfromlinear11913","pinf":0,"ninf":0,"vars":["x","y","z","t","a","b","c","i"],"input":"(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))","time":10723.322998046875,"target":false,"output":"(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))","end":0.024945280303027634,"name":"Linear.V4:$cdot from linear-1.19.1.3","status":"ex-start","end-est":0.015625},{"samplers":["default","default","default","default","default","default","default","default","default","default","default","default","default","default","default","default"],"bits":128,"start":false,"link":"29-LinearMatrixdet44fromlinear11913","pinf":false,"ninf":false,"vars":["x","y","z","t","a","b","c","i","j","k","y0","y1","y2","y3","y4","y5"],"input":"(+ (- (+ (+ (- (* (- (* x y) (* z t)) (- (* a b) (* c i))) (* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))) (* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))) (* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))) (* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))) (* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0))))","time":600000,"target":false,"output":"#f","end":false,"name":"Linear.Matrix:det44 from linear-1.19.1.3","status":"timeout","end-est":false},{"samplers":["default","default","default","default","default","default","default","default","default"],"bits":128,"start":false,"link":"30-LinearMatrixdet33fromlinear11913","pinf":false,"ninf":false,"vars":["x","y","z","t","a","b","c","i","j"],"input":"(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))","time":600000,"target":false,"output":"#f","end":false,"name":"Linear.Matrix:det33 from linear-1.19.1.3","status":"timeout","end-est":false},{"samplers":["default","default","default","default","default"],"bits":128,"start":9.248932338959213,"link":"31-HakyllWebTagsrenderTagCloudfromhakyll4723","pinf":0,"ninf":0,"vars":["x","y","z","t","a"],"input":"(+ x (* (/ (- y z) (- (+ t 1.0) z)) (- a x)))","time":25433.9189453125,"target":false,"output":"(+ x (* (/ (- y z) (- (+ t 1.0) z)) (- a x)))","end":9.248932338959213,"name":"Hakyll.Web.Tags:renderTagCloud from hakyll-4.7.2.3","status":"apx-start","end-est":9.747525126926368},{"samplers":["default","default","default","default"],"bits":128,"start":14.404053457344926,"link":"32-GraphicsRenderingChartBackendDiagramscalcFontMetri","pinf":0,"ninf":0,"vars":["x","y","z","t"],"input":"(* x (/ (* (/ y z) t) t))","time":2251.93896484375,"target":false,"output":"(/ y (/ z x))","end":5.842804754929191,"name":"Graphics.Rendering.Chart.Backend.Diagrams:calcFontMetrics from Chart-diagrams-1.5.1","status":"imp-start","end-est":5.188855358477348},{"samplers":["default","default","default","default","default","default","default","default","default","default"],"bits":128,"start":5.655751158062202,"link":"33-DiagramsSolvePolynomialcubFormfromdiagramssolve01","pinf":0,"ninf":0,"vars":["x","y","z","t","a","b","c","i","j","k"],"input":"(- (- (+ (- (* (* (* (* x 18.0) y) z) t) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i)) (* (* j 27.0) k))","time":44369.85498046875,"target":false,"output":"(+ (- (* (* x (* z t)) (* y 18.0)) (* 4.0 (+ (* x i) (* t a)))) (- (* b c) (* (* j 27.0) k)))","end":4.615153533786619,"name":"Diagrams.Solve.Polynomial:cubForm  from diagrams-solve-0.1","status":"imp-start","end-est":4.463678134284335},{"samplers":["default","default"],"bits":128,"start":0.4717793231377969,"link":"34-BoulandandAaronsonEquation25","pinf":0,"ninf":0,"vars":["a","b"],"input":"(- (+ (sqr (+ (sqr a) (sqr b))) (* 4 (+ (* (sqr a) (+ 1 a)) (* (sqr b) (- 1 (* 3 a)))))) 1)","time":27788.921875,"target":false,"output":"(- (+ (* (* (sqr b) 4) (- 1 (* 3 a))) (* (+ (* a 4) 4) (sqr a))) (- 1 (+ (pow a 4) (pow b 4))))","end":0.023700829567947446,"name":"Bouland and Aaronson, Equation (25)","status":"ex-start","end-est":0.08768413961661775},{"samplers":["default","default","default"],"bits":384,"start":false,"link":"35-Areaofatriangle","pinf":false,"ninf":false,"vars":["a","b","c"],"input":"(sqrt (* (* (* (/ (+ (+ a b) c) 2) (- (/ (+ (+ a b) c) 2) a)) (- (/ (+ (+ a b) c) 2) b)) (- (/ (+ (+ a b) c) 2) c)))","time":21423.51904296875,"target":false,"output":"#f","end":false,"name":"Area of a triangle","status":"crash","end-est":false},{"samplers":["default"],"bits":128,"start":31.723944353862798,"link":"36-sqrtsqr","pinf":0,"ninf":0,"vars":["x"],"input":"(- (/ x x) (* (/ 1 x) (sqrt (* x x))))","time":1100.09521484375,"target":0,"output":"(- 1 (/ (fabs x) x))","end":0,"name":"sqrt sqr","status":"eq-target","end-est":0},{"samplers":["default","default","default"],"bits":128,"start":34.12973414027626,"link":"37-Thequadraticformular1","pinf":0,"ninf":0,"vars":["a","b","c"],"input":"(/ (+ (- b) (sqrt (- (sqr b) (* (* 4 a) c)))) (* 2 a))","time":20533.696044921875,"target":20.809662713973893,"output":"(/ (* (/ (* 4 a) 1) (/ c (- (- b) (sqrt (- (sqr b) (* (* 4 a) c)))))) (* 2 a))","end":31.47434789802466,"name":"The quadratic formula (r1)","status":"lt-target","end-est":27.676262004206418}],"commit":"1d8a5a266b020440095bcd8cb501c635b072ad95","branch":"1.0-beta"}