Details

simplify9.9m (52.7%)

prune3.7m (19.8%)

sample3.1m (16.6%)

Algorithm
60×intervals
Results
1.3m298639×body80valid
33.5s207651×body80nan
27.4s21511×body1280valid
11.4s11040×body640valid
6.5s5364×body2560valid
3.4s5153×body320valid
2.0s16512×pre80true
1.1s2422×body160valid
259.0ms230×body5120valid

series1.0m (5.3%)

Calls

355 calls:

2.6s
(- (* (* (/ z (* (cbrt t) (cbrt t))) (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (cbrt t) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
2.4s
(/ (- (* (* (/ z (* (cbrt t) (cbrt t))) (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (cbrt t) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* (cbrt t) (* (- a (/ 5.0 6.0)) (* t 3.0))))
705.0ms
(* (cbrt a) (cbrt a))
669.0ms
(cbrt t)
647.0ms
(exp (+ x (- (/ (+ (tan y) (tan z)) (- 1 (/ (* (sin y) (tan z)) (cos y)))) (tan a))))

regimes30.2s (2.7%)

Accuracy

Total 29.7b remaining (23.4%)

Threshold costs 6.0b (4.7%)

4.4b84.7%The quadratic formula (r1)
3.7b29.1%Hakyll.Web.Tags:renderTagCloud from hakyll-4.7.2.3
3.6b7.5%Linear.Matrix:det33 from linear-1.19.1.3
3.2b87.7%NMSE problem 3.2.1
2.9b30.6%Diagrams.Solve.Polynomial:cubForm from diagrams-solve-0.1

rewrite19.6s (1.7%)

Algorithm
103×rewrite-expression-head
Calls

355 calls:

1.3s
(/ (* x (* (* (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (cbrt (* (* (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))))) y)
1.0s
(/ (- (* (* (/ z (* (cbrt t) (cbrt t))) (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (cbrt t) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* (cbrt t) (* (- a (/ 5.0 6.0)) (* t 3.0))))
831.0ms
(exp (+ x (- (/ (+ (tan y) (tan z)) (- 1 (/ (* (sin y) (tan z)) (cos y)))) (tan a))))
757.0ms
(* (- (/ y (- (+ t 1.0) z)) (/ z (- (+ t 1.0) z))) (- a x))
620.0ms
(/ (* x (* (* (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)
Rules
3830×times-frac
3668×*-un-lft-identity
3555×add-sqr-sqrt
2500×add-cube-cbrt
1913×associate-*l/
1587×add-exp-log
1438×associate-*r/
1341×add-cbrt-cube
1314×flip3-- flip--
1305×frac-times
1231×frac-sub
954×pow1
599×add-log-exp
590×sqrt-div associate-*r*
561×associate-*l*
526×prod-exp
502×cbrt-unprod
437×sqrt-prod
430×associate-/l/
427×cbrt-prod
370×distribute-lft-out--
355×insert-posit16
350×flip-+ flip3-+
343×associate-/r*
331×distribute-rgt-neg-in
323×difference-of-squares
307×div-exp
301×distribute-lft-neg-in
282×pow-prod-down
274×associate-/l*
254×cbrt-undiv
226×div-inv
213×distribute-lft-out
190×cbrt-div
144×unswap-sqr
140×sub-neg
114×associate-/r/
113×*-commutative
105×distribute-rgt-in distribute-lft-in
103×exp-diff
93×neg-mul-1
83×diff-log
77×log-prod
76×swap-sqr
70×pow1/3
65×frac-2neg clear-num
54×sum-log
48×exp-prod
43×associate-+r+
39×rem-sqrt-square
37×sqrt-pow1 pow1/2
36×sin-mult
30×cos-mult
29×1-exp pow-prod-up rem-exp-log
27×rec-exp
26×exp-sum associate--r+
25×associate-+l+ sub-div
22×associate--l+
21×+-commutative
20×log-pow
19×pow-sqr
18×tan-quot
17×pow-plus
13×neg-sub0 div-sub associate-+l-
12×distribute-neg-frac
11×associate--l- neg-log
10×distribute-rgt-out-- log-div
pow2 frac-add
pow-flip inv-pow
un-div-inv
associate-+r-
distribute-rgt-neg-out difference-of-sqr-1
distribute-lft-neg-out cos-2 unpow-prod-down
distribute-frac-neg cube-unmult tan-sum cos-sum
pow-unpow pow-exp pow3 sqr-pow sqrt-unprod pow-to-exp pow-pow sqr-neg remove-posit16 e-exp-1 rem-log-exp

localize6.9s (0.6%)

bsearch6.4s (0.6%)

end1.0ms (0.0%)