Details

sample4.1m (55.8%)

Algorithm
10×intervals
Results
1.3m5298×body1280valid
39.1s6867×body320valid
32.0s55970×pre80true
31.4s4151×body640valid
19.3s8804×body160valid
16.5s22071×body80valid
15.9s17035×body80nan

simplify1.9m (25.6%)

series33.5s (7.7%)

Calls

59 calls:

5.2s
(cbrt (cos lambda1))
3.5s
(cbrt (* (- m) (- (/ (* m (- 1.0 m)) v) 1.0)))
3.5s
(* (cbrt (* (- m) (- (/ (* m (- 1.0 m)) v) 1.0))) (cbrt (* (- m) (- (/ (* m (- 1.0 m)) v) 1.0))))
2.6s
(cbrt (* (- m) (- (/ (* m (- 1.0 m)) v) 1.0)))
2.5s
(cbrt (* (- m) (- (/ (* m (- 1.0 m)) v) 1.0)))

prune28.2s (6.5%)

rewrite10.5s (2.4%)

Algorithm
20×rewrite-expression-head
Calls

59 calls:

1.2s
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
682.0ms
(* (- m) (- (/ (* m (- 1.0 m)) v) 1.0))
602.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
514.0ms
(* m (/ (- 1.0 m) v))
454.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
Rules
298×add-exp-log
296×add-cbrt-cube
295×add-sqr-sqrt
241×*-un-lft-identity
203×add-cube-cbrt
171×times-frac
103×pow1
92×prod-exp cbrt-unprod
86×associate-*r*
81×add-log-exp
69×cbrt-undiv div-exp
67×associate-*l*
49×associate-/r*
46×associate-*r/
41×flip-- flip3--
37×associate-/l*
25×difference-of-squares
23×div-inv
21×sub-neg
20×pow-prod-down
19×sqrt-prod distribute-lft-out-- unswap-sqr
18×cbrt-div
17×*-commutative clear-num frac-2neg
16×associate-/l/ cbrt-prod
14×distribute-rgt-in distribute-lft-in
12×pow1/3 frac-times
10×flip3-+ flip-+
associate-/r/
associate-+r+
diff-log associate-*l/ cos-diff
+-commutative sum-log
swap-sqr sqrt-div cos-sum frac-add associate-+l+
distribute-lft-neg-out distribute-lft-neg-in distribute-rgt-neg-in div-sub
pow-sqr rem-sqrt-square pow-prod-up pow1/2 sin-sum sqrt-pow1
sin-diff pow-plus unsub-neg distribute-rgt-out sin-mult neg-mul-1 pow2

regimes6.9s (1.6%)

Accuracy

Total 10.4b remaining (56.9%)

Threshold costs 0.3b (1.6%)

6.7b0%Quadratic roots, medium range
3.4b0%Quadratic roots, wide range
0.1b0%Trigonometry A
0.1b0%Midpoint on a great circle
0.1b0%b parameter of renormalized beta distribution

localize2.1s (0.5%)

end6.0ms (0.0%)

bsearch5.0ms (0.0%)