Details

series11.1m (54.1%)

Calls

323 calls:

1.4s
(/ (* x (* (sqrt (pow z y)) (sqrt (/ (* (pow z y) (pow (* (cbrt a) (cbrt a)) (- t 1.0))) (/ (exp b) (pow (cbrt a) (- t 1.0))))))) (* y (sqrt (/ (exp b) (pow a (- t 1.0))))))
1.1s
(* (sqrt (pow z y)) (sqrt (/ (* (pow z y) (pow (* (cbrt a) (cbrt a)) (- t 1.0))) (/ (exp b) (pow (cbrt a) (- t 1.0))))))
1.1s
(/ (* c a) (* (cbrt a) (cbrt (- (sqrt (- (pow b_2 2) (* a c))) b_2))))
960.0ms
(fma (- (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt x) (* (cbrt x) (cbrt x))))
885.0ms
(fma (- (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt x) (* (cbrt x) (cbrt x))))

simplify5.3m (25.9%)

sample2.2m (10.7%)

Algorithm
59×intervals
Results
35.8s262855×body80valid
24.0s206816×body80nan
22.6s21314×body1280valid
8.0s10809×body640valid
5.5s5302×body2560valid
2.4s5100×body320valid
911.0ms2622×body160valid
781.0ms16512×pre80true
236.0ms250×body5120valid

prune1.2m (6.0%)

rewrite25.1s (2.0%)

Algorithm
99×rewrite-expression-head
Calls

325 calls:

3.1s
(- (+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i))
2.1s
(* (* (/ 1 (* (cbrt (- (+ t 1.0) z)) (cbrt (- (+ t 1.0) z)))) (/ (- y z) (cbrt (- (+ t 1.0) z)))) (- a x))
1.5s
(+ x (+ (- (/ (+ (* (sin y) (cos z)) (* (cos y) (sin z))) (* (fma (- (tan y)) (tan z) 1) (* (cos y) (cos z)))) (tan a)) 0))
739.0ms
(+ x (+ (- (/ (+ (tan y) (tan z)) (fma (- (tan y)) (tan z) 1)) (tan a)) 0))
543.0ms
(/ (* x (* (sqrt (/ (pow z y) (/ (exp b) (pow a (- t 1.0))))) (sqrt (/ (pow z y) (/ (exp b) (pow a (- t 1.0))))))) y)
Rules
12071×times-frac
8902×*-un-lft-identity
8870×add-sqr-sqrt
7738×add-cube-cbrt
3933×prod-diff
2813×add-exp-log
1569×prod-exp
1262×unpow-prod-down
1210×unpow-prod-up
1201×add-cbrt-cube
880×associate-*r*
844×pow1
828×sqrt-prod
707×div-inv
645×associate-/r*
553×div-exp
516×distribute-rgt-in distribute-lft-in
498×add-log-exp
436×sqr-pow
424×associate-*l*
398×cbrt-unprod
371×pow-exp
362×associate--l+
358×distribute-rgt-neg-in
355×pow-to-exp
353×distribute-lft-neg-in
329×cbrt-prod
325×difference-of-squares log1p-expm1-u expm1-log1p-u
324×fma-neg
320×distribute-lft-out
310×distribute-lft-out--
299×associate-/l*
274×associate-/r/
224×flip3-- flip--
205×cbrt-undiv
197×sub-neg
194×pow-prod-down
154×unswap-sqr
126×associate-+r+
119×associate-*r/
115×log-pow
99×cbrt-div
98×fma-def
88×sqrt-div
86×*-commutative
80×log-prod
78×associate-+l+
77×flip-+ flip3-+
72×clear-num frac-2neg
70×pow1/3
61×cube-prod
59×frac-times diff-log
56×associate-*l/
46×sum-log
43×associate-/l/
41×neg-mul-1 sqrt-pow1
37×1-exp pow-sub rec-exp
36×pow-unpow
34×fma-udef
33×frac-add swap-sqr
31×pow1/2
28×frac-sub sin-mult
24×pow-prod-up
23×cos-mult
22×rem-sqrt-square
19×tan-quot
17×+-commutative exp-sum
16×pow-plus
15×sub-div distribute-rgt-out--
14×pow-flip
13×inv-pow associate--r+ pow-pow
12×pow-sqr unpow3 cube-mult
11×associate-+l-
10×div-sub
cube-div rem-cube-cbrt pow2 exp-prod distribute-neg-frac log-div
un-div-inv
rem-exp-log associate--l- associate-+r- neg-sub0 unpow2
sqrt-unprod associate--r- distribute-rgt-out neg-log rem-cbrt-cube
exp-diff cos-sum pow3 tan-sum
sin-cos-mult quot-tan unpow1/2 distribute-frac-neg acos-asin asin-acos sum-cubes

regimes10.7s (0.9%)

Accuracy

Total 31.3b remaining (24%)

Threshold costs 3.3b (2.6%)

7.0b9.2%Linear.Matrix:det33 from linear-1.19.1.3
4.5b84.2%The quadratic formula (r1)
3.3b87.9%NMSE problem 3.2.1
2.5b0%Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2
2.2b0%cos(2*x)/(cos^2(x)*sin^2(x))

localize4.1s (0.3%)

bsearch1.1s (0.1%)

end1.0ms (0.0%)