Details

simplify47.4m (55.6%)

series16.4m (19.3%)

Calls

2310 calls:

13.8s
(* (/ (sqrt (- x y)) (+ (sqrt 2.0) (sqrt (+ x y)))) (/ (sqrt (- x y)) (- (sqrt 2.0) (sqrt (+ x y)))))
4.8s
(pow (sqrt (cbrt (* (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))) (cbrt (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))))) 4)
4.5s
(/ (fma (/ y t) z x) (* (cbrt (+ (fma (/ y t) b a) 1.0)) (cbrt (+ (fma (/ y t) b a) 1.0))))
3.2s
(fma (* (/ 1 (sqrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))) (/ (/ y (fabs (cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)))) (sqrt (cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))))) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)
2.4s
(/ (fma (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y))) 2.0) (* (fma (cos y) (/ (/ (- (* 3.0 3.0) 5.0) (+ 3.0 (sqrt 5.0))) 2.0) (fma (cos x) (/ (- (sqrt 5.0) 1.0) 2.0) 1.0)) 3.0))

prune9.8m (11.5%)

sample8.5m (10.0%)

Algorithm
537×intervals
Results
3.1m2577005×body80valid
1.0m507359×body80nan
41.9s46999×body1280valid
23.9s42558×body640valid
8.9s24687×body320valid
7.9s5431×body2560valid
4.4s13738×body160valid
2.0s1498×body10240exit
200.0ms688×body640nan
171.0ms475×body1280nan
124.0ms414×body320nan
111.0ms39×body5120valid
28.0ms212×body160nan

rewrite1.8m (2.1%)

Algorithm
868×rewrite-expression-head
Calls

2314 calls:

6.8s
(log (+ (- (pow (cbrt 1.0) 3) (/ (- x y) (pow (cbrt (- 1.0 y)) 3))) (+ (/ (- x y) (pow (cbrt (- 1.0 y)) 3)) (- (/ (- x y) (pow (cbrt (- 1.0 y)) 3))))))
1.6s
(/ (/ (/ (/ (sqrt 1.0) 1) 1) (/ (fma z z 1.0) (/ (sqrt 1.0) x))) y)
966.0ms
(* (/ y (* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y)))) (/ b (cbrt (+ (+ x t) y))))
887.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (sqrt x) (+ (- (/ 1.0 (* x 9.0)) 1.0) y))))
578.0ms
(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))
Rules
264162×times-frac
132805×*-un-lft-identity
130831×add-sqr-sqrt
117050×add-cube-cbrt
34864×sqrt-prod
13521×prod-diff
9899×add-exp-log
8007×cbrt-prod
7669×associate-/l*
7542×add-cbrt-cube
7501×div-inv
5738×pow1
5359×associate-*r*
5326×difference-of-squares
5051×distribute-lft-out--
4332×associate-/r*
3482×unpow-prod-down
3430×associate-*l*
3043×add-log-exp
2999×distribute-lft-out
2791×cube-prod
2752×div-exp
2614×distribute-rgt-in distribute-lft-in
2516×prod-exp
2350×associate-/r/
2319×expm1-log1p-u
2318×log1p-expm1-u
2048×distribute-rgt-neg-in
2044×distribute-lft-neg-in
1966×cbrt-unprod
1644×cbrt-undiv
1487×pow-prod-down
1381×flip-- flip3--
1258×unswap-sqr
1085×log-prod
986×fma-def
900×fma-neg
863×associate-*l/
839×associate--l+
819×pow1/3
788×flip-+ flip3-+
767×associate-*r/
741×cbrt-div
720×swap-sqr
686×associate-+l+
672×sqr-pow
599×*-commutative
534×neg-mul-1
527×frac-times
524×sqrt-pow1
520×clear-num frac-2neg
410×sub-neg
395×associate-/l/
392×1-exp
351×unpow3 cube-mult
312×fma-udef
303×pow1/2
299×pow-prod-up
262×rec-exp
258×log-pow
236×sqrt-div
231×associate-+r+
229×sum-log
217×pow-sqr
170×exp-sum
169×unpow-prod-up diff-log
158×pow-exp
152×+-commutative
142×pow-to-exp
119×div-sub
113×pow-unpow
91×pow-plus
89×pow-flip
85×pow2
84×unpow2
77×pow-pow
75×rem-sqrt-square
72×inv-pow
71×frac-add
64×distribute-rgt-out frac-sub
55×cube-div
51×log-div
47×un-div-inv
46×distribute-neg-frac rem-log-exp
44×exp-prod
38×sinh-def
26×sqrt-unprod associate-+l-
23×cos-sum
21×associate-+r-
19×rem-square-sqrt distribute-rgt-out--
18×rem-cube-cbrt unsub-neg
17×tanh-def
14×neg-sub0
12×distribute-rgt-neg-out expm1-udef
11×difference-cubes
10×difference-of-sqr-1 expm1-log1p cosh-def
rem-exp-log hypot-def
distribute-lft-neg-out sub-div hypot-udef rem-cbrt-cube
log1p-udef associate--l- log1p-expm1 neg-log
exp-diff sqrt-undiv sqrt-pow2 diff-cos associate--r+
distribute-lft1-in distribute-rgt1-in count-2
distribute-frac-neg
unpow1/3 cos-diff pow-sub associate--r-
expm1-def sub0-neg exp-neg sin-mult tan-quot
sin-cos-mult pow3 acos-asin cos-mult exp-to-pow

regimes56.5s (1.1%)

Accuracy

Total 196.6b remaining (40.2%)

Threshold costs 26.2b (5.3%)

17.4b14.9%AI.Clustering.Hierarchical.Internal:ward from clustering-0.2.1
13.5b47.8%Data.Array.Repa.Algorithms.Pixel:doubleRmsOfRGB8 from repa-algorithms-3.4.0.1
13.4b56.4%Diagrams.TwoD.Arc:arcBetween from diagrams-lib-1.3.0.3
8.6b26.1%Linear.Matrix:det33 from linear-1.19.1.3
8.2b34.4%Development.Shake.Progress:decay from shake-0.15.5

localize16.9s (0.3%)

bsearch5.6s (0.1%)

end3.0ms (0.0%)