Details

simplify43.0m (64.2%)

sample8.4m (12.6%)

Algorithm
538×intervals
Results
3.9m2651439×body80valid
58.5s508913×body80nan
39.8s47482×body1280valid
22.3s42104×body640valid
9.5s25159×body320valid
8.4s5697×body2560valid
3.8s13973×body160valid
1.6s1563×body10240exit
172.0ms668×body640nan
166.0ms490×body1280nan
143.0ms48×body5120valid
113.0ms416×body320nan
28.0ms239×body160nan

series6.1m (9.1%)

Calls

2466 calls:

4.2s
(- (* (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))) (* c c))
4.0s
(cbrt (pow (log (- 1.0 (/ y x))) 2))
3.9s
(/ (+ 2.0 (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))) (* 3.0 (+ (+ 1.0 (* (/ 1 (sqrt 2.0)) (* (/ (- (sqrt 5.0) 1.0) (sqrt 2.0)) (cos x)))) (* (/ (/ (- (* 3.0 3.0) 5.0) (+ 3.0 (sqrt 5.0))) 2.0) (cos y)))))
3.8s
(/ (* (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))) (* (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))))
2.6s
(/ (+ 2.0 (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))) (* 3.0 (+ (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (/ (- (* 3.0 3.0) 5.0) (+ 3.0 (sqrt 5.0))) 2.0) (cos y)))))

prune5.4m (8.1%)

rewrite2.3m (3.5%)

Algorithm
877×rewrite-expression-head
Calls

2466 calls:

3.3s
(- (+ (- (* (* (* x 18.0) (* y z)) t) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i))
3.0s
(* x (* (/ (pow 1.0 a) (exp (+ (* 1/2 (/ (* a (pow z 2)) (pow 1.0 2))) (+ (* a b) (+ (* t y) (* 1.0 (* a z))))))) (pow z y)))
1.7s
(* (cbrt (- (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)) (cbrt (- (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)))
1.5s
(* (+ x y) (/ (/ (/ 1 (cbrt (- 1.0 (/ y z)))) (cbrt (- 1.0 (/ y z)))) (cbrt (- 1.0 (/ y z)))))
1.4s
(* (+ (* (+ (* (* (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) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))
Rules
51036×times-frac
44431×add-sqr-sqrt
40642×*-un-lft-identity
26632×add-cube-cbrt
11425×add-exp-log
10630×cbrt-prod
9804×associate-*r*
8577×add-cbrt-cube
6651×pow1
6181×difference-of-squares
5883×sqrt-prod
5187×distribute-lft-out--
4196×associate-*l*
3847×associate-/r*
3732×add-log-exp
3463×prod-exp
2674×div-exp
2627×cbrt-unprod
2365×associate-/r/
2310×flip3-- flip--
2239×div-inv
2188×cbrt-div
2142×associate-/l*
1906×pow-prod-down
1881×distribute-lft-out
1716×cbrt-undiv
1641×associate-*l/
1627×unswap-sqr
1609×associate-*r/
1596×frac-times
1554×flip-+ flip3-+
1079×log-prod
1041×sqrt-div
930×unpow-prod-down
908×swap-sqr
893×pow1/3
803×*-commutative
753×distribute-rgt-in distribute-lft-in
572×sub-neg
528×clear-num frac-2neg
516×associate-/l/
434×sqrt-pow1
424×sum-log
394×pow-exp
344×frac-sub
330×1-exp
321×associate-+r+
315×rec-exp
308×pow-prod-up
294×pow1/2
291×diff-log
268×+-commutative
257×associate--l+
245×pow-sqr
238×frac-add
236×pow-to-exp
223×log-pow
217×sqr-pow
211×associate-+l+
200×cube-prod
127×pow-plus
120×div-sub
119×rem-sqrt-square
110×pow-unpow
108×exp-prod
102×pow2
97×pow-flip
75×inv-pow
71×distribute-rgt-neg-in
67×distribute-lft-neg-in distribute-rgt-out-- pow-pow
61×tanh-def
58×associate--r+
56×log-div
50×unpow2
49×rem-log-exp
46×cube-div
45×un-div-inv
39×associate-+l-
31×sinh-def
28×distribute-rgt-out
27×neg-mul-1
25×sub-div
24×distribute-neg-frac
22×associate-+r-
21×unsub-neg unpow3 cube-mult
20×exp-sum distribute-rgt-neg-out
19×sqrt-unprod
18×rem-square-sqrt
16×associate--l- cosh-def
15×distribute-lft-neg-out associate--r-
12×rem-exp-log
10×rem-cube-cbrt neg-sub0
pow-div cos-sum
distribute-lft1-in rem-cbrt-cube
distribute-rgt1-in cos-diff distribute-frac-neg
difference-cubes unpow1/3 unpow-prod-up diff-cos count-2
exp-diff pow3 difference-of-sqr-1 neg-log
sqrt-pow2 pow-sub exp-to-pow
exp-neg tan-quot

regimes1.2m (1.7%)

Accuracy

Total 216.1b remaining (37.5%)

Threshold costs 31.9b (5.5%)

15.6b19%AI.Clustering.Hierarchical.Internal:ward from clustering-0.2.1
13.4b57.7%Diagrams.TwoD.Arc:arcBetween from diagrams-lib-1.3.0.3
10.9b53.2%Data.Octree.Internal:octantDistance from Octree-0.5.4.2
10.2b-11.7%Linear.Matrix:det44 from linear-1.19.1.3
9.1b5.8%Data.Colour.Matrix:determinant from colour-2.3.3, A

localize17.7s (0.4%)

bsearch10.4s (0.3%)

end3.0ms (0.0%)