Details

simplify28.3m (42.8%)

series14.1m (21.3%)

Calls

2580 calls:

2.2m
(- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* c i) (* c i)))
2.1m
(- (+ (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (+ (* (+ (* x y) (* z t)) (* a b)) (* (* a b) (+ (+ (* x y) (* z t)) (* a b))))) (* (* c i) (* c i)))
2.1m
(- (+ (* (+ (* x y) (* z t)) (+ (+ (* x y) (* z t)) (* a b))) (* (* a b) (+ (+ (* x y) (* z t)) (* a b)))) (* (* c i) (* c i)))
1.7m
(/ 1 (/ (+ i (* y (+ c (* y (+ (* (+ a y) y) b))))) (+ (* y (+ 230661.510616 (* y (+ (* y (+ z (* y x))) 27464.7644705)))) t)))
2.2s
(+ (* (+ y 0.5) (log (pow y 2/3))) (- (* (+ y 0.5) (log (cbrt y))) y))

prune9.5m (14.3%)

sample9.4m (14.2%)

Algorithm
540×intervals
Results
3.5m2659691×body80valid
54.7s523238×body80nan
41.8s47212×body1280valid
23.9s42789×body640valid
10.5s24810×body320valid
8.1s5687×body2560valid
3.1s13973×body160valid
1.5s1575×body10240exit
354.0ms677×body640nan
347.0ms505×body1280nan
126.0ms41×body5120valid
90.0ms436×body320nan
31.0ms201×body160nan

regimes2.3m (3.4%)

Accuracy

Total 213.0b remaining (38.7%)

Threshold costs 27.7b (5%)

20.4b34%Data.Array.Repa.Algorithms.Pixel:doubleRmsOfRGB8 from repa-algorithms-3.4.0.1
13.5b45.7%FRP.Yampa.Vector3:vector3Rho from Yampa-0.10.2
12.4b60.4%Diagrams.TwoD.Arc:arcBetween from diagrams-lib-1.3.0.3
11.6b48.4%AI.Clustering.Hierarchical.Internal:ward from clustering-0.2.1
10.4b56.3%Data.Octree.Internal:octantDistance from Octree-0.5.4.2

rewrite2.0m (3.0%)

Algorithm
896×rewrite-expression-head
Calls

2580 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))
2.6s
(/ (+ (* (* (- (/ x y) (/ z y)) 4.0) (* (* (- (/ x y) (/ z y)) 4.0) (* (- (/ x y) (/ z y)) 4.0))) (* 2.0 (* 2.0 2.0))) (- (* (* (- (/ x y) (/ z y)) 4.0) (* (- (/ x y) (/ z y)) 4.0)) (* 2.0 (- (* (- (/ x y) (/ z y)) 4.0) 2.0))))
2.4s
(+ (+ (* (* (* y (* (cbrt z) (cbrt z))) (/ (cbrt z) t)) 1.0) (/ (log 1.0) t)) (/ (* y (* z z)) (/ t 0.5)))
1.5s
(/ (- (+ (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (+ (* (+ (* x y) (* z t)) (* a b)) (* (* a b) (+ (+ (* x y) (* z t)) (* a b))))) (* (* c i) (* c i))) (- (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
683.0ms
(* (cbrt (+ (+ (+ x y) y) x)) (cbrt (+ (+ (+ x y) y) x)))
Rules
40777×times-frac
37611×*-un-lft-identity
36367×add-sqr-sqrt
24168×add-cube-cbrt
15935×add-exp-log
10693×add-cbrt-cube
7880×pow1
6617×cbrt-prod
6601×associate-*r*
5347×prod-exp
4676×associate-*l*
4504×div-exp
4083×add-log-exp
4011×difference-of-squares
4010×cbrt-div
3829×distribute-lft-out--
3773×cbrt-unprod
3697×associate-/r*
3477×frac-times
3466×sqrt-prod
3154×distribute-lft-out
2716×cbrt-undiv
2688×associate-*r/
2624×flip3-- flip--
2595×associate-*l/
2590×flip-+ flip3-+
2306×pow-prod-down
2221×associate-/l*
2156×associate-/r/
2130×div-inv
1473×unswap-sqr
1285×sqrt-div
1219×log-prod
1103×distribute-rgt-in distribute-lft-in
1083×swap-sqr
909×pow1/3
846×*-commutative
745×sub-neg
703×sqrt-pow1
645×frac-sub
576×pow-prod-up associate-/l/
539×frac-2neg clear-num
534×sum-log
515×1-exp
491×rec-exp
391×pow1/2
360×associate--l+
342×pow-sqr
335×frac-add
321×diff-log
317×associate-+r+
296×+-commutative
284×log-pow
240×pow-plus
223×associate-+l+
192×exp-prod
173×exp-sum
159×pow2
128×unpow-prod-up
125×div-sub
112×rem-sqrt-square
105×unpow-prod-down
84×sub-div
81×pow-flip
80×pow-unpow
70×pow3
68×associate--r+
65×pow-exp log-div
63×inv-pow
56×rem-log-exp
52×cube-unmult
45×un-div-inv
44×associate-+l-
43×pow-to-exp
41×distribute-rgt-out-- distribute-rgt-out
38×tanh-def rem-exp-log
35×sqr-pow
32×distribute-lft-neg-out pow-pow
28×associate-+r- difference-cubes
25×sqrt-unprod
23×distribute-rgt-neg-out
22×distribute-rgt-neg-in
21×distribute-lft-neg-in
20×unsub-neg
18×exp-diff rem-cbrt-cube sinh-def
15×cosh-def distribute-neg-frac rem-square-sqrt
14×cos-mult
13×associate--l-
12×sum-cubes unpow1/3
11×tan-quot
10×exp-to-pow associate--r-
sqr-cos
neg-mul-1 distribute-rgt1-in
distribute-lft1-in diff-cos count-2
sqrt-undiv
cos-diff
neg-sub0 pow-sub sin-mult cos-sum e-exp-1
neg-log exp-neg

localize31.2s (0.8%)

bsearch7.2s (0.2%)

end6.0ms (0.0%)