Details

simplify26.6m (49.9%)

series9.1m (17.0%)

Calls

2498 calls:

1.7m
(/ 1 (/ (+ i (* (+ (* (+ (* (+ y a) y) b) y) c) y)) (+ t (* (+ 230661.510616 (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) y))))
1.6m
(/ (/ 1 (* (cbrt (+ i (* (+ (* (+ (* (+ y a) y) b) y) c) y))) (cbrt (+ i (* (+ (* (+ (* (+ y a) y) b) y) c) y))))) (/ (cbrt (+ i (* (+ (* (+ (* (+ y a) y) b) y) c) y))) (+ t (* (+ 230661.510616 (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) y))))
2.2s
(/ 1 (/ (+ (* (- b y) z) y) (+ (* x y) (* z (- t a)))))
1.8s
(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* 1/3 (* (log y) (+ y 0.5))))
1.3s
(cbrt (+ i (* (+ (* (+ (* (+ y a) y) b) y) c) y)))

sample8.5m (16.0%)

Algorithm
539×intervals
Results
3.3m2625636×body80valid
58.3s516947×body80nan
38.8s47280×body1280valid
24.0s42924×body640valid
9.4s24400×body320valid
7.1s5678×body2560valid
3.2s13837×body160valid
1.6s1533×body10240exit
252.0ms500×body1280nan
219.0ms646×body640nan
176.0ms48×body5120valid
84.0ms405×body320nan
30.0ms227×body160nan

prune5.6m (10.4%)

rewrite2.0m (3.8%)

Algorithm
884×rewrite-expression-head
Calls

2498 calls:

1.1s
(/ (* (* (sqrt (/ (pow a (- 1.0)) (exp (- (- b (* (log a) t)) (* (log z) y))))) x) (sqrt (/ (pow a (- 1.0)) (exp (+ (+ (* (- (log z)) y) (* (- (log a)) t)) b))))) y)
995.0ms
(/ (* (* (- (* x y) (/ (* z t) 16.0)) (* (cbrt (- (* 4.0 (+ (* x y) (/ (* z t) 16.0))) (* a b))) (cbrt (- (* 4.0 (+ (* x y) (/ (* z t) 16.0))) (* a b))))) (cbrt (- (* 4.0 (+ (* x y) (/ (* z t) 16.0))) (* a b)))) (* (- (* x y) (/ (* z t) 16.0)) 4.0))
954.0ms
(+ (/ x y) (- (+ (/ (/ 2.0 t) z) (/ 2.0 t)) 2.0))
782.0ms
(/ (- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* t (* (- a (/ 5.0 6.0)) (* t 3.0))))
768.0ms
(* (* (* x (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (cbrt (- 1.0 y))) (- z))
Rules
43670×times-frac
37158×*-un-lft-identity
36320×add-sqr-sqrt
25370×add-cube-cbrt
11799×add-exp-log
9300×sqrt-prod
8989×add-cbrt-cube
6641×pow1
6569×associate-*r*
5419×cbrt-prod
5010×associate-*l*
4575×cbrt-div
4454×frac-times
4112×flip3-- flip--
3794×add-log-exp
3609×prod-exp
3448×difference-of-squares
3406×associate-/r*
3270×associate-*r/
3087×distribute-lft-out--
3034×associate-*l/
2899×distribute-lft-out
2857×cbrt-unprod
2703×div-exp
2518×associate-/r/
2471×associate-/l*
2139×div-inv
1904×cbrt-undiv
1863×pow-prod-down
1829×flip-+ flip3-+
1586×sqrt-div
1585×unswap-sqr
1547×unpow-prod-down
1047×log-prod
1032×distribute-rgt-in distribute-lft-in
859×pow1/3
849×swap-sqr
815×*-commutative
767×associate-/l/
743×frac-sub
711×cube-prod
701×distribute-rgt-neg-in
700×distribute-lft-neg-in
673×sub-neg
669×sqrt-pow1
524×clear-num frac-2neg
478×sum-log
417×sqr-pow
410×pow1/2
383×associate-+r+
347×associate--l+
332×pow-prod-up
327×1-exp
323×pow-exp
296×+-commutative
280×rec-exp
253×diff-log
251×pow-sqr
241×neg-mul-1
240×associate-+l+
228×frac-add
204×log-pow
201×pow-to-exp
183×pow-unpow
136×rem-sqrt-square
119×pow-plus
109×div-sub
107×pow-pow
101×pow2
97×exp-prod
80×pow-flip
70×cube-div
63×tanh-def
59×inv-pow
56×log-div
54×unpow2
50×associate-+l-
49×unpow3 cube-mult associate--r+
42×distribute-lft-neg-out
40×un-div-inv exp-sum
38×rem-log-exp
33×distribute-rgt-neg-out
28×distribute-rgt-out
26×sqrt-unprod
23×rem-cube-cbrt unsub-neg rem-square-sqrt
20×sum-cubes associate-+r- distribute-rgt-out-- difference-of-sqr-1
19×difference-cubes
13×exp-diff
12×pow-div cosh-def
11×rem-exp-log rem-cbrt-cube
10×diff-cos
sub-div associate--r-
sqrt-pow2
neg-sub0
unpow1/3 distribute-rgt1-in distribute-neg-in sinh-def
associate--l- distribute-lft1-in unpow-prod-up count-2 tan-quot
distribute-frac-neg
exp-neg cos-diff exp-to-pow
cos-sum e-exp-1 sin-mult cos-mult distribute-neg-frac
sin-cos-mult pow-neg sqrt-undiv pow3 pow-sub remove-double-div

regimes1.1m (2.1%)

Accuracy

Total 206.4b remaining (39.7%)

Threshold costs 27.4b (5.3%)

18.4b11.8%AI.Clustering.Hierarchical.Internal:ward from clustering-0.2.1
13.4b58%Diagrams.TwoD.Arc:arcBetween from diagrams-lib-1.3.0.3
9.7b58.9%Data.Octree.Internal:octantDistance from Octree-0.5.4.2
7.6b60.8%Data.Array.Repa.Algorithms.Pixel:doubleRmsOfRGB8 from repa-algorithms-3.4.0.1
7.5b30.3%Data.Colour.Matrix:determinant from colour-2.3.3, A

localize17.3s (0.5%)

bsearch10.3s (0.3%)

end6.0ms (0.0%)