Details

simplify3.0m (36.3%)

sample2.2m (25.9%)

Algorithm
60×intervals
Results
34.2s265950×body80valid
26.9s209534×body80nan
19.8s21369×body1280valid
8.0s11012×body640valid
4.9s5358×body2560valid
3.1s4990×body320valid
617.0ms2442×body160valid
539.0ms16512×pre80true
122.0ms205×body5120valid

prune1.1m (13.2%)

series1.0m (12.1%)

Calls

348 calls:

1.8s
(/ (- (* z (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (/ t (sqrt (+ t a))) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* (/ t (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))))
1.4s
(- (* z (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (/ t (sqrt (+ t a))) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
720.0ms
(/ (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
711.0ms
(* (* (* (- y z) (* (cbrt (/ 1 (- (+ t 1.0) z))) (cbrt (/ 1 (- (+ t 1.0) z))))) (cbrt (/ 1 (- (+ t 1.0) z)))) (- a x))
704.0ms
(* (/ 1 (* (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))) (/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))))

rewrite30.6s (6.1%)

Algorithm
105×rewrite-expression-head
Calls

348 calls:

3.3s
(* (* (* (- y z) (* (cbrt (/ 1 (- (+ t 1.0) z))) (cbrt (/ 1 (- (+ t 1.0) z))))) (cbrt (/ 1 (- (+ t 1.0) z)))) (- a x))
1.6s
(* (* (- y z) (/ (/ 1 (* (cbrt (- (+ t 1.0) z)) (cbrt (- (+ t 1.0) z)))) (cbrt (- (+ t 1.0) z)))) (- a x))
1.2s
(/ (- (* z (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (/ t (sqrt (+ t a))) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* (/ t (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))))
1.2s
(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (* 2 (log (cbrt t))) (- a 0.5))) (* (log (cbrt t)) (- a 0.5)))
1.0s
(* (/ 1 (* (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))) (/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))))
Rules
4533×times-frac
4220×add-sqr-sqrt
4208×*-un-lft-identity
2982×add-exp-log
2835×add-cube-cbrt
1624×prod-exp
1343×add-cbrt-cube
886×pow1
781×associate-*l*
714×flip3-- flip--
692×associate-*l/
667×sqrt-prod
620×associate-*r*
557×frac-times
556×add-log-exp
543×associate-*r/ div-exp
512×distribute-lft-out--
490×difference-of-squares
434×cbrt-unprod
365×frac-sub
341×associate-/r*
332×cbrt-prod
324×distribute-rgt-neg-in
306×associate-/l*
302×pow-to-exp pow-exp
280×cbrt-div
253×pow-prod-down
246×distribute-lft-neg-in
237×div-inv
226×cbrt-undiv
197×associate-/r/
182×unswap-sqr
166×distribute-lft-out
161×sub-neg
145×distribute-rgt-in distribute-lft-in
140×flip-+ flip3-+
133×associate-/l/
131×exp-prod *-commutative
130×swap-sqr
114×sqrt-pow1
86×sqrt-div
84×unpow-prod-down
78×neg-mul-1
73×log-prod
66×clear-num log-pow frac-2neg
65×diff-log
63×1-exp pow1/3 rec-exp
59×sum-log
51×associate-+r+
45×pow1/2
39×sqr-pow
36×frac-add
34×exp-sum
30×pow-prod-up
27×rem-sqrt-square associate--r+
26×pow-sqr
25×cos-mult
24×associate-+l+ +-commutative
22×sin-mult
21×tan-quot
20×exp-diff associate--l+
19×unpow2 associate-+l-
18×distribute-neg-frac
12×log-div
11×div-sub
10×rem-exp-log sub-div cube-prod neg-sub0
pow-unpow associate--l- inv-pow pow-flip neg-log
un-div-inv distribute-lft-neg-out pow-plus
pow2 pow-pow
sqrt-unprod associate-+r-
cos-sum distribute-neg-in unpow-prod-up pow-sub rem-square-sqrt distribute-frac-neg tan-sum
cube-div sin-cos-mult exp-neg unsub-neg unpow3 cube-mult distribute-rgt-out pow-neg rem-cbrt-cube rem-log-exp

regimes22.3s (4.4%)

Accuracy

Total 33.8b remaining (25.2%)

Threshold costs 3.8b (2.8%)

7.1b35.2%Linear.Matrix:det33 from linear-1.19.1.3
4.3b84.8%The quadratic formula (r1)
4.0b85%NMSE problem 3.2.1
3.0b18.2%Diagrams.Solve.Polynomial:cubForm from diagrams-solve-0.1
2.7b0%Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2

bsearch5.6s (1.1%)

localize4.4s (0.9%)

end0.0ms (0.0%)