Details

simplify1.3m (38.0%)

sample1.1m (31.8%)

Algorithm
intervals
Results
28.1s3099×body1280valid
21.3s40999×body80valid
6.6s2567×body640valid
2.2s8256×pre80true
1.5s1303×body320valid
354.0ms604×body160valid

series41.2s (19.4%)

Calls

21 calls:

5.5s
(* (sqrt (/ 1.0 6.0)) (* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5)))
5.3s
(* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5))
4.9s
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)
4.0s
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))
4.0s
(/ 1 (/ 6.0 (* 1.0 (pow (* -2.0 (log u1)) 0.5))))

prune12.5s (5.9%)

rewrite6.3s (3.0%)

Algorithm
rewrite-expression-head
Calls

21 calls:

2.2s
(+ (* (exp (- 0.0 im)) (* 0.5 (sin re))) (* (exp im) (* 0.5 (sin re))))
902.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))
521.0ms
(* (exp (- 0.0 im)) (* 0.5 (sin re)))
382.0ms
(pow (* -2.0 (log u1)) 0.5)
324.0ms
(* (sqrt (/ 1.0 6.0)) (* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5)))
Rules
185×add-exp-log
96×add-sqr-sqrt
87×add-cbrt-cube
81×*-un-lft-identity
77×add-cube-cbrt
75×prod-exp
71×pow1
70×times-frac
58×associate-*l*
41×div-exp
30×sqrt-prod cbrt-unprod
29×associate-*r* add-log-exp
26×pow-prod-down pow-exp
13×pow-to-exp
12×pow-unpow
11×sqr-pow associate-/r*
10×cbrt-undiv *-commutative div-inv unswap-sqr
pow-pow
associate-/l*
1-exp unpow-prod-down associate-*l/ rec-exp
sqrt-div flip3-+ flip-+
+-commutative sum-log
clear-num associate-*r/ frac-2neg
distribute-lft-out exp-sum
pow-flip exp-diff distribute-rgt-in distribute-rgt-out sub-neg associate-/r/ inv-pow frac-times distribute-lft-in

regimes3.0s (1.4%)

Accuracy

Total 0.3b remaining (1.4%)

Threshold costs 0.3b (1.4%)

0.3b0%normal distribution
0.0b0%math.sin on complex, real part

localize1.2s (0.5%)

end0.0ms (0.0%)

bsearch0.0ms (0.0%)