Details

simplify2.1hr (62.7%)

prune24.6m (12.0%)

sample24.4m (11.9%)

Algorithm
538×intervals
Results
12.0m2652268×body80valid
3.2m498176×body80nan
2.0m47063×body1280valid
1.3m43261×body640valid
29.5s24405×body320valid
14.1s5525×body2560valid
10.3s13648×body160valid
7.3s1539×body10240exit
601.0ms669×body640nan
427.0ms430×body1280nan
218.0ms35×body5120valid
179.0ms412×body320nan
75.0ms241×body160nan

series14.4m (7.0%)

Calls

2620 calls:

7.8s
(* (/ (cbrt (- y z)) (- (+ t 1.0) z)) (- a x))
5.6s
(cbrt (+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) (* z 1.0)) b))))
4.9s
(cbrt (* (/ (- y z) (- (+ t 1.0) z)) (- a x)))
4.8s
(cbrt (+ (* y (- (log z) t)) (* a (- (- (- (log 1.0) (* (* (/ z 1.0) (/ z 1.0)) 1/2)) (* z 1.0)) b))))
4.5s
(* (cbrt (+ (* 5.0 y) (* (+ (+ (+ z y) (+ z y)) t) x))) (* (cbrt (* (cbrt (+ (* 5.0 y) (* (+ (+ (+ z y) (+ z y)) t) x))) (cbrt (+ (* 5.0 y) (* (+ (+ (+ z y) (+ z y)) t) x))))) (cbrt (cbrt (+ (* 5.0 y) (* (+ (+ (+ z y) (+ z y)) t) x))))))

rewrite5.7m (2.8%)

Algorithm
904×rewrite-expression-head
Calls

2620 calls:

6.2s
(/ (+ (* (* y y) (* (* y y) (* y y))) (* (* (- (- x z) y) y) (* (* (- (- x z) y) y) (* (- (- x z) y) y)))) (+ (* (* y y) (- (* y y) (* (- (- x z) y) y))) (* (* (- (- x z) y) y) (* (- (- x z) y) y))))
5.1s
(* (* (* x x) (/ (* (cbrt (- 3.0 (* 2.0 x))) (cbrt (- (* (* 3.0 3.0) 3.0) (* (* (* 2.0 x) (* 2.0 x)) (* 2.0 x))))) (cbrt (+ (* 3.0 3.0) (+ (* (* x 2.0) (* x 2.0)) (* 3.0 (* x 2.0))))))) (cbrt (- 3.0 (* x 2.0))))
3.9s
(* (/ (- z t) (* (* (cbrt (cbrt (cbrt (- a t)))) (cbrt (cbrt (cbrt (- a t))))) (* (* (cbrt (- a t)) (cbrt (- a t))) (cbrt (* (cbrt (- a t)) (cbrt (- a t))))))) (/ y (cbrt (cbrt (cbrt (- a t))))))
3.4s
(* y (* (* z (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))))
3.3s
(* (* (/ (cbrt z) (cbrt t)) (/ (cbrt z) (cbrt t))) (- y x))
Rules
43394×times-frac
39249×*-un-lft-identity
37306×add-sqr-sqrt
25139×add-cube-cbrt
13659×cbrt-div
11731×add-exp-log
9646×add-cbrt-cube
8171×pow1
7890×frac-times
7452×cbrt-prod
6969×associate-*r*
6505×associate-*r/
5548×sqrt-prod
5353×associate-*l*
4400×frac-sub
4277×flip3-- flip--
4152×add-log-exp
3973×difference-of-squares
3927×distribute-lft-out--
3633×associate-/r*
3489×prod-exp
3375×distribute-lft-out
3087×cbrt-unprod
2944×associate-/r/
2887×associate-*l/
2665×tanh-def
2540×div-exp
2414×pow-prod-down
2360×flip-+ flip3-+
2284×associate-/l*
2194×div-inv
1958×cbrt-undiv
1560×sqrt-div
1481×unswap-sqr
1382×swap-sqr
1353×log-prod
1206×sqrt-pow1
1057×pow1/3
1047×distribute-rgt-in distribute-lft-in
847×*-commutative
781×pow-prod-up
724×sub-neg
564×pow1/2
559×sum-log
547×associate-/l/
545×frac-2neg clear-num
453×pow-sqr
363×associate--l+
323×associate-+r+
320×diff-log
299×frac-add
287×+-commutative
274×1-exp
267×rec-exp
240×pow-plus
202×associate-+l+
195×log-pow
176×pow2
153×exp-sum
123×div-sub associate--r+
89×unpow-prod-down
81×rem-sqrt-square
80×distribute-rgt-out--
72×pow3
67×pow-flip
65×inv-pow
58×cube-unmult
57×log-div
54×rem-log-exp
50×un-div-inv
47×distribute-rgt-neg-in
45×exp-prod
41×distribute-lft-neg-in
38×pow-exp
36×sub-div associate-+r-
35×distribute-rgt-out sinh-def
32×cosh-def
29×associate-+l-
28×pow-unpow sum-cubes
27×sqrt-unprod
26×distribute-rgt-neg-out
21×difference-cubes
19×pow-to-exp
18×sqr-pow rem-square-sqrt
16×exp-diff
15×unsub-neg distribute-lft-neg-out
13×pow-pow neg-mul-1 rem-cbrt-cube associate--l-
11×rem-exp-log count-2
10×distribute-lft1-in associate--r-
distribute-rgt1-in
unpow1/3
sqrt-undiv
distribute-frac-neg tan-quot exp-to-pow
diff-cos
cos-diff neg-sub0 sin-mult cos-mult
cos-sum e-exp-1 unpow-prod-up exp-neg sqr-cos distribute-neg-frac
neg-log

regimes5.6m (2.7%)

Accuracy

Total 214.9b remaining (38.4%)

Threshold costs 25.3b (4.5%)

17.9b14%AI.Clustering.Hierarchical.Internal:ward from clustering-0.2.1
14.4b53.4%Diagrams.TwoD.Arc:arcBetween from diagrams-lib-1.3.0.3
13.2b-17.7%Linear.Matrix:det44 from linear-1.19.1.3
9.3b60.8%Data.Octree.Internal:octantDistance from Octree-0.5.4.2
8.1b-1.6%Linear.Matrix:det33 from linear-1.19.1.3

localize1.3m (0.6%)

bsearch23.3s (0.2%)

end253.0ms (0.0%)