Details

sample2.9m (29.7%)

Algorithm
60×intervals
Results
1.2m335190×body80valid
24.0s205854×body80nan
19.3s21547×body1280valid
7.8s11187×body640valid
4.8s5288×body2560valid
2.9s5059×body320valid
757.0ms16512×pre80true
680.0ms2481×body160valid
105.0ms234×body5120valid

simplify2.9m (29.5%)

prune2.0m (20.2%)

series1.1m (10.8%)

Calls

338 calls:

3.0s
(/ (- (* (* (/ 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))))
2.8s
(- (* (* (/ 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)))))
2.1s
(/ (- (* (* (+ (* (sin y) (cos z)) (* (cos y) (sin z))) (cos a)) (+ (* 1 1) (+ (* (* (tan y) (tan z)) (* (tan y) (tan z))) (* 1 (* (tan y) (tan z)))))) (* (* (cos y) (cos z)) (* (- (pow 1 3) (pow (* (tan y) (tan z)) 3)) (sin a)))) (* (* (* (- 1 (* (tan y) (tan z))) (cos a)) (* (cos y) (cos z))) (+ 1 (* (* (tan y) (tan z)) (+ (* (tan y) (tan z)) 1)))))
830.0ms
(+ (* (* 2 (log (cbrt t))) (- a 0.5)) (* (log (cbrt t)) (- a 0.5)))
807.0ms
(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

rewrite27.3s (4.6%)

Algorithm
102×rewrite-expression-head
Calls

338 calls:

1.5s
(/ (- (* (* (/ 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))))
1.1s
(* x (/ (/ (/ (pow a (- 1.0)) (pow (/ 1 z) y)) (exp (+ (* (- (log a)) t) b))) y))
786.0ms
(- (* (* (/ 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)))))
548.0ms
(/ (- (* (* (+ (* (sin y) (cos z)) (* (cos y) (sin z))) (cos a)) (+ (* 1 1) (+ (* (* (tan y) (tan z)) (* (tan y) (tan z))) (* 1 (* (tan y) (tan z)))))) (* (* (cos y) (cos z)) (* (- (pow 1 3) (pow (* (tan y) (tan z)) 3)) (sin a)))) (* (* (* (- 1 (* (tan y) (tan z))) (cos a)) (* (cos y) (cos z))) (+ 1 (* (* (tan y) (tan z)) (+ (* (tan y) (tan z)) 1)))))
521.0ms
(* (/ x (* (* y (pow (/ 1 z) y)) (exp (+ (* (- (log a)) t) b)))) (pow (/ 1 (pow a 1.0)) 1.0))
Rules
21499×times-frac
11150×*-un-lft-identity
10971×add-sqr-sqrt
9544×add-cube-cbrt
5534×unpow-prod-down
3488×add-exp-log
2501×associate-*r*
2029×associate-*l/
1916×prod-exp
1657×exp-prod
1498×associate-*r/
1382×flip3-- frac-times flip--
1381×cbrt-prod
1370×add-cbrt-cube
1242×frac-sub
1186×log-pow
1085×distribute-rgt-neg-in
1054×distribute-lft-neg-in
1008×exp-sum
887×associate-/l* sqr-pow
877×div-exp
855×pow1
600×div-inv
584×pow-exp
562×sqrt-div
555×cube-prod
554×associate-*l*
522×add-log-exp
500×associate-/r*
471×difference-of-squares
467×cbrt-unprod
462×distribute-lft-out--
444×associate-/l/
404×pow-to-exp
402×flip-+ flip3-+
352×distribute-lft-out
317×cbrt-div
305×neg-mul-1
249×pow-prod-down
238×sqrt-prod
226×cbrt-undiv
189×unswap-sqr
160×associate-/r/
118×sub-neg
114×*-commutative
107×distribute-rgt-in distribute-lft-in
103×1-exp
97×rec-exp
76×tan-quot log-prod
73×frac-2neg clear-num
54×sum-log
53×cos-mult
52×diff-log
48×distribute-neg-frac
42×pow-unpow sqrt-pow1
41×pow1/3
39×associate-+r+
38×pow1/2
33×associate-+l+
31×rem-sqrt-square
25×+-commutative sin-mult
24×frac-add neg-sub0
22×unpow3 cube-mult
21×associate-+l-
20×associate--l+ associate--r+
18×pow-pow
16×div-sub
15×pow-flip neg-log
14×cube-div
13×rem-exp-log
12×log-div
11×inv-pow
10×associate--l- unpow2
rem-cube-cbrt sub-div
un-div-inv
exp-diff
distribute-frac-neg
sqrt-unprod pow-prod-up exp-neg distribute-neg-in pow-sqr rem-cbrt-cube
distribute-lft-neg-out pow-sub pow-neg rem-log-exp associate-+r-
cos-sum pow-plus unpow-prod-up tan-sum
pow2 distribute-rgt-out log-rec swap-sqr

regimes20.7s (3.5%)

Accuracy

Total 38.5b remaining (25.1%)

Threshold costs 3.9b (2.5%)

12.9b-26.1%Linear.Matrix:det44 from linear-1.19.1.3
5.6b31.8%Linear.Matrix:det33 from linear-1.19.1.3
3.5b87.6%The quadratic formula (r1)
2.0b0%Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2
1.9b-3.3%Numeric.SpecFunctions:incompleteBetaWorker from math-functions-0.1.5.2

bsearch5.2s (0.9%)

localize4.6s (0.8%)

end1.0ms (0.0%)