Details

series14.3m (55.5%)

Calls

2269 calls:

2.9s
(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* (* j 27.0) (* (cbrt k) (cbrt k))) (cbrt k)))))
2.9s
(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
2.9s
(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
2.9s
(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k)))))
2.0s
(exp (+ (fma y (- (log z) t) (* (fma (+ (sqrt (log 1.0)) (sqrt (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z)))) (- (sqrt (log 1.0)) (sqrt (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z)))) (- (* b 1))) a)) (* (fma (- b) 1 (* b 1)) a)))

prune4.4m (17.2%)

sample3.8m (14.6%)

Algorithm
537×intervals
Results
1.2m2573826×body80valid
19.1s506302×body80nan
17.2s46464×body1280valid
9.2s42526×body640valid
4.3s5611×body2560valid
3.5s24448×body320valid
1.2s13462×body160valid
730.0ms1561×body10240exit
106.0ms40×body5120valid
102.0ms677×body640nan
78.0ms450×body1280nan
45.0ms427×body320nan
14.0ms229×body160nan

simplify1.2m (4.8%)

Algorithm
1387×egg-herbie

rewrite1.1m (4.4%)

Algorithm
852×rewrite-expression-head
Calls

2272 calls:

6.1s
(* (fma 1.0 1.0 (fma y y (* 1.0 y))) (+ (- (/ (- x y) (- (pow 1.0 3) (pow y 3)))) (/ (- x y) (- (pow 1.0 3) (pow y 3)))))
913.0ms
(* (+ (* (* (cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)) (cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y))) (cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y))) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))
659.0ms
(/ (- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* t (* (- a (/ 5.0 6.0)) (* t 3.0))))
527.0ms
(/ (- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (* t (- b c)) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))) (* t (* (- a (/ 5.0 6.0)) (* t 3.0))))
520.0ms
(- (+ y (/ (pow x (/ 2 2)) (/ y x))) (/ (pow z 2) y))
Rules
63766×times-frac
52352×*-un-lft-identity
48651×add-sqr-sqrt
36186×add-cube-cbrt
9839×add-exp-log
8141×prod-diff
7592×add-cbrt-cube
7327×cbrt-prod
7058×sqrt-prod
6996×associate-*r*
5169×pow1
5014×distribute-lft-out--
4915×difference-of-squares
3779×associate-/r*
3478×distribute-lft-out
3217×associate-*l*
3191×div-inv
3061×add-log-exp
2656×unpow-prod-down
2654×prod-exp
2554×div-exp
2552×distribute-rgt-in distribute-lft-in
2514×associate-/l*
2338×associate-*r/
2294×flip-- flip3--
2278×expm1-log1p-u
2276×log1p-expm1-u
2184×associate-*l/
2030×associate-/r/
1966×cbrt-unprod
1733×cube-prod
1716×cbrt-undiv
1368×log-prod
1324×frac-times
1256×flip-+ flip3-+
1208×unswap-sqr
1191×pow-prod-down
1166×frac-sub
1163×distribute-lft-neg-in
1048×exp-sum
1015×distribute-rgt-neg-in
863×sqrt-div
773×cbrt-div
770×fma-def
753×pow1/3
743×sqr-pow
734×associate-/l/
626×distribute-rgt-out
624×swap-sqr
576×*-commutative
505×associate-+l+
495×clear-num frac-2neg
454×log-pow
453×fma-neg
441×sub-neg
425×associate-+r+
351×fma-udef
329×1-exp
320×associate--l+
302×rec-exp
252×sqrt-pow1
249×sum-log
233×exp-prod
213×unpow2
186×pow-prod-up
174×diff-log
172×+-commutative
163×neg-mul-1
161×pow1/2
155×pow-exp
152×pow-sqr
137×pow-unpow
136×pow-to-exp
115×div-sub
105×associate--r+ log-div
101×frac-add
81×pow-plus
77×pow-flip
74×pow2
65×rem-sqrt-square inv-pow
54×pow-pow
53×unpow3 cube-mult
43×cos-sum
42×tanh-def
40×distribute-rgt-neg-out
38×un-div-inv
35×distribute-rgt-out-- sinh-def
34×difference-cubes rem-log-exp
33×hypot-def distribute-neg-frac
30×exp-diff
28×cube-div
26×rem-cube-cbrt
22×unsub-neg
20×associate-+l-
19×rem-exp-log distribute-lft1-in
14×distribute-lft-neg-out expm1-udef rem-cbrt-cube
13×sqrt-unprod expm1-log1p
12×sum-cubes associate-+r-
11×cos-diff
10×log1p-udef log1p-expm1 sub-div cosh-def
rem-square-sqrt
associate--l- neg-sub0
diff-cos
associate--r-
distribute-rgt1-in count-2
neg-log tan-quot
sqrt-undiv sqrt-pow2 hypot-udef distribute-frac-neg exp-to-pow
unpow1/3 pow3 exp-neg mul-1-neg
sqr-sin acos-asin sin-mult

regimes39.7s (2.6%)

Accuracy

Total 169.9b remaining (35.6%)

Threshold costs 26.4b (5.5%)

14.3b22.9%AI.Clustering.Hierarchical.Internal:ward from clustering-0.2.1
11.8b61.9%Diagrams.TwoD.Arc:arcBetween from diagrams-lib-1.3.0.3
7.5b17.3%Numeric.Signal:interpolate from hsignal-0.2.7.1
7.4b5.2%Linear.Matrix:det33 from linear-1.19.1.3
6.6b6%Diagrams.Solve.Polynomial:cubForm from diagrams-solve-0.1, I

localize9.1s (0.6%)

bsearch4.0s (0.3%)

end5.0ms (0.0%)