Details

simplify3.6m (37.2%)

sample2.8m (29.1%)

Algorithm
60×intervals
Results
1.1m336304×body80valid
22.2s207315×body80nan
18.9s21517×body1280valid
9.0s11018×body640valid
3.8s5258×body2560valid
2.3s5061×body320valid
1.5s16512×pre80true
888.0ms2620×body160valid
114.0ms218×body5120valid

prune1.2m (12.0%)

series1.0m (10.6%)

Calls

363 calls:

1.1s
(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) (* (cbrt y) (cbrt y))) (cbrt y)) t))
801.0ms
(/ (* (* (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)
733.0ms
(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
702.0ms
(/ (* a c) (sqrt (- (sqrt (- (* b_2 b_2) (* a c))) b_2)))
701.0ms
(+ (* (* 2 (log (cbrt t))) (- a 0.5)) (* (log (pow t 1/3)) (- a 0.5)))

rewrite35.0s (6.1%)

Algorithm
108×rewrite-expression-head
Calls

363 calls:

6.3s
(/ (* 2.0 c) (- (- (* 2.0 (* (* (/ a (* (cbrt b) (cbrt b))) (/ (* (cbrt c) (cbrt c)) (* (cbrt (cbrt b)) (cbrt (cbrt b))))) (/ (cbrt c) (cbrt (cbrt b))))) b) b))
2.0s
(/ (- (- (* 2.0 (* (/ a (* (cbrt b) (cbrt b))) (/ c (cbrt b)))) b) b) (* 2.0 a))
1.3s
(/ (* (* (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)
881.0ms
(/ (* 2.0 c) (- (- (* 2.0 (* (/ a (* (cbrt b) (cbrt b))) (/ c (cbrt b)))) b) b))
789.0ms
(* (cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) (cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))
Rules
7089×times-frac
6203×*-un-lft-identity
5918×add-sqr-sqrt
3960×add-cube-cbrt
2888×add-exp-log
1583×prod-exp
1323×add-cbrt-cube
1208×cbrt-prod
869×distribute-rgt-neg-in
865×associate-*l*
858×distribute-lft-neg-in
819×pow1
750×difference-of-squares
729×distribute-lft-out--
702×associate-/r*
690×associate-*r*
657×unpow-prod-down
561×add-log-exp
474×cube-prod div-exp
457×exp-prod
448×distribute-lft-out
444×flip3-- flip--
423×cbrt-unprod
347×cbrt-div
325×pow-exp
322×pow-to-exp
312×frac-times
289×associate-/l*
271×associate-/r/
263×log-pow
252×associate-*l/
248×div-inv
245×sqrt-prod
241×cbrt-undiv
232×associate-*r/
229×neg-mul-1
226×log-prod
198×unswap-sqr
182×pow-prod-down
160×sub-neg
138×flip-+ flip3-+
136×distribute-rgt-in distribute-lft-in
127×*-commutative
114×frac-sub
112×sqr-pow
96×sqrt-div
73×clear-num frac-2neg
65×associate-+r+
61×diff-log
60×distribute-neg-frac associate--l+
59×pow1/3
57×sum-log
51×associate-/l/ sqrt-pow1
43×swap-sqr
41×pow-unpow
35×pow1/2
34×associate-+l+
32×1-exp pow-pow
31×tan-quot
30×rec-exp log-div
28×rem-sqrt-square
27×+-commutative
25×neg-sub0 cos-mult
24×sin-mult unpow2
22×frac-add
21×exp-sum associate--r+
20×exp-diff associate-+l-
14×exp-neg pow-flip
13×sub-div
11×rem-exp-log inv-pow div-sub
associate-+r- pow-sqr pow-prod-up rem-log-exp
unpow3 cube-mult
cube-div
associate--l- distribute-lft-neg-out
pow2 pow-sub pow-plus neg-log pow-neg
difference-cubes un-div-inv
rem-cube-cbrt sqrt-pow2
cos-sum unpow1/3 associate--r- distribute-neg-in distribute-frac-neg distribute-rgt-out tan-sum rem-cbrt-cube
sqrt-unprod unsub-neg exp-to-pow

regimes20.8s (3.6%)

Accuracy

Total 43.3b remaining (26.9%)

Threshold costs 2.7b (1.7%)

9.9b-17.3%Linear.Matrix:det44 from linear-1.19.1.3
5.2b34%Linear.Matrix:det33 from linear-1.19.1.3
3.8b12.8%Diagrams.Solve.Polynomial:cubForm from diagrams-solve-0.1
3.7b86.1%NMSE problem 3.2.1
3.5b87.9%The quadratic formula (r1)

localize4.6s (0.8%)

bsearch3.7s (0.6%)

end0.0ms (0.0%)