Details

prune3.9m (34.3%)

sample3.4m (29.4%)

Algorithm
60×intervals
Results
1.5m335587×body80valid
31.5s208466×body80nan
28.1s21694×body1280valid
12.1s10988×body640valid
6.8s5336×body2560valid
3.9s5067×body320valid
1.5s16512×pre80true
1.1s2384×body160valid
221.0ms215×body5120valid

simplify2.3m (20.3%)

series49.0s (7.1%)

Calls

330 calls:

1.2s
(cbrt (* (/ (- y z) (- (+ t 1.0) z)) (- a x)))
1.1s
(cbrt (* (/ (- y z) (- (+ t 1.0) z)) (- a x)))
1.0s
(cbrt (* (/ (- y z) (- (+ t 1.0) z)) (- a x)))
775.0ms
(* (/ (/ (- y z) (* (cbrt (- (+ t 1.0) z)) (* (* (cbrt (cbrt (- (+ t 1.0) z))) (cbrt (cbrt (- (+ t 1.0) z)))) (cbrt (cbrt (- (+ t 1.0) z)))))) (cbrt (- (+ t 1.0) z))) (- a x))
723.0ms
(cbrt (/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

regimes30.4s (4.4%)

Accuracy

Total 43.4b remaining (28.7%)

Threshold costs 3.8b (2.5%)

10.5b-5.7%Linear.Matrix:det44 from linear-1.19.1.3
5.0b38.4%Linear.Matrix:det33 from linear-1.19.1.3
4.9b82.4%The quadratic formula (r1)
4.7b82.4%NMSE problem 3.2.1
3.9b30.6%Diagrams.Solve.Polynomial:cubForm from diagrams-solve-0.1

rewrite18.2s (2.6%)

Algorithm
99×rewrite-expression-head
Calls

330 calls:

2.3s
(* (/ (/ (- y z) (* (cbrt (- (+ t 1.0) z)) (* (* (cbrt (cbrt (- (+ t 1.0) z))) (cbrt (cbrt (- (+ t 1.0) z)))) (cbrt (cbrt (- (+ t 1.0) z)))))) (cbrt (- (+ t 1.0) z))) (- a x))
1.3s
(* (* (exp (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n)))) (exp (/ (- (+ f n)) (- f n))))
1.2s
(cbrt (* (* (exp (/ (- (+ f n)) (- f n))) (exp (/ (- (+ f n)) (- f n)))) (exp (/ (- (+ f n)) (- f n)))))
409.0ms
(* (* j 27.0) k)
318.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))
Rules
16561×*-un-lft-identity
9649×times-frac
6653×exp-prod
5608×add-sqr-sqrt
3604×cbrt-div
3276×add-cube-cbrt
2763×distribute-rgt-neg-in
2607×distribute-lft-out--
2249×pow-prod-down
2035×distribute-lft-out
1878×distribute-lft-neg-in
1705×pow-prod-up
1559×frac-times
1541×pow1
1518×add-exp-log
1422×add-cbrt-cube
1378×associate-*l*
1353×flip3-- flip--
994×difference-of-squares
944×associate-/r/
796×cbrt-prod
717×pow-sqr
704×associate-*r/
638×associate-*l/
582×associate-*r*
530×add-log-exp
517×prod-exp
508×neg-mul-1
494×cbrt-unprod
370×sqrt-prod
341×associate-/l*
330×insert-posit16
279×div-exp
262×associate-/r*
250×log-pow
242×cbrt-undiv
203×frac-sub
178×div-inv
164×sqrt-pow1
142×unswap-sqr
138×sub-neg
137×tan-quot
126×*-commutative
111×distribute-rgt-in distribute-lft-in
101×log-prod
87×pow-plus flip-+ flip3-+
85×div-sub
83×exp-diff
82×distribute-frac-neg
79×exp-neg
75×neg-sub0
74×sqrt-div
66×diff-log
64×exp-sum
60×frac-2neg clear-num
58×sin-mult
56×pow2
50×associate-/l/
43×sum-log
41×associate--l+
35×associate-+r+ rem-exp-log
33×pow1/3
32×pow1/2
31×cos-mult
29×swap-sqr
28×associate--r+ rem-sqrt-square
23×1-exp rec-exp
17×associate-+l+ frac-add
16×sub-div +-commutative log-div
13×un-div-inv
10×pow-unpow associate-+l- unpow-prod-down
pow-flip
inv-pow
pow-exp pow-pow
distribute-lft-neg-out associate--l- associate-+r- sqr-pow distribute-neg-frac pow-to-exp e-exp-1 cos-2
pow3 neg-log distribute-rgt-out-- cube-div rem-log-exp
rem-cube-cbrt tan-sum exp-to-pow remove-posit16 rem-cbrt-cube associate--r- cos-sum
difference-of-sqr--1 unpow3 log-rec difference-of-sqr-1 sqrt-unprod cube-mult unpow2 cube-prod unpow1/3 distribute-rgt-out

bsearch7.2s (1.0%)

localize6.2s (0.9%)

end1.0ms (0.0%)