Details

simplify6.4m (58.7%)

sample1.6m (14.6%)

Algorithm
50×intervals
Results
54.7s248614×body80valid
3.0s33063×body80nan
3.0ms11×body1280valid
2.0msbody640valid
1.0msbody320valid
0.0msbody160valid

series1.4m (12.8%)

Calls

190 calls:

2.1s
(* (+ (* (+ (* (+ (+ (* x (pow y 2)) (* z y)) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))
1.9s
(+ (* (* 2 (log (pow (/ 1 y) -1/3))) x) (* x (log (cbrt y))))
1.8s
(cbrt (* x (- 1.0 (* x y))))
1.8s
(* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
1.6s
(cbrt (* x (- 1.0 (* x y))))

prune1.0m (9.2%)

rewrite17.8s (2.7%)

Algorithm
74×rewrite-expression-head
Calls

190 calls:

1.6s
(* (+ (* (+ (* (+ (+ (* x (pow y 2)) (* z y)) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))
1.4s
(/ (+ (* (+ (* (* (* (cbrt y) (cbrt y)) (+ (* (+ (* x y) z) y) 27464.7644705)) (cbrt y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
751.0ms
(/ (+ (* (+ (* (+ (+ (* x (pow y 2)) (* z y)) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
596.0ms
(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
489.0ms
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
Rules
1609×*-un-lft-identity
1568×add-sqr-sqrt
979×add-cube-cbrt
872×times-frac
613×pow1
596×cbrt-prod
593×add-exp-log
482×add-cbrt-cube
455×associate-*r*
372×sqrt-prod
304×associate-*l*
296×sqrt-div
286×frac-times
263×add-log-exp
260×flip-- flip3--
204×cbrt-div
185×associate-*l/
174×prod-exp
173×unpow-prod-down
172×distribute-lft-out
170×pow-prod-down
163×flip-+ associate-*r/ flip3-+
148×sqrt-pow1
147×difference-of-squares
145×cbrt-unprod
140×distribute-lft-out--
139×unswap-sqr
121×pow1/3
110×associate-/r*
108×swap-sqr
90×cube-prod
87×log-prod
85×distribute-rgt-in distribute-lft-in
76×pow1/2
74×pow-prod-up
73×*-commutative
69×associate-/l*
65×div-exp
64×div-inv
56×associate-/r/
42×cbrt-undiv associate-/l/
40×pow-sqr
37×sub-neg
30×associate-+r+
29×frac-add
23×sum-log
20×clear-num frac-2neg
17×+-commutative diff-log
15×1-exp pow-unpow rec-exp associate--l+ sqr-pow
14×pow-exp
13×pow-plus rem-sqrt-square pow2 log-pow
12×distribute-rgt-out
11×frac-sub
pow-to-exp associate-+l+ unpow2
pow-pow
div-sub
sqrt-unprod
pow-flip cube-mult unpow3 rem-cube-cbrt un-div-inv inv-pow cube-div
rem-square-sqrt distribute-lft-neg-in distribute-rgt-neg-in
associate-+l- rem-cbrt-cube distribute-rgt-neg-out rem-log-exp
neg-mul-1 associate-+r- unsub-neg

regimes9.3s (1.4%)

Accuracy

Total 1.9b remaining (6.4%)

Threshold costs 0.8b (2.7%)

1.1b0%Numeric.SpecFunctions:logGamma from math-functions-0.1.5.2
0.2b0%Statistics.Distribution.Binomial:directEntropy from math-functions-0.1.5.2
0.1b0%Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, H
0.1b0%Statistics.Distribution.Poisson:$clogProbability from math-functions-0.1.5.2
0.1b0%Statistics.Distribution.Binomial:$cvariance from math-functions-0.1.5.2

localize3.6s (0.5%)

end27.0ms (0.0%)

bsearch19.0ms (0.0%)