Details

sample1.4m (47.6%)

Algorithm
12×intervals
Results
50.4s31981×body10240exit
7.7s3461×body2560valid
6.3s37176×body80valid
5.3s37634×body80nan
5.1s4955×body1280valid
1.8s2963×body640valid
553.0ms1444×body320valid
429.0ms8256×pre80true
235.0ms767×body160valid
34.0ms21×body5120valid
23.0msbody5120nan
15.0ms11×body2560nan
10.0ms11×body1280nan
6.0ms12×body320nan
3.0msbody640nan
1.0msbody160nan

simplify49.8s (29.2%)

prune17.9s (10.5%)

series17.3s (10.1%)

Calls

57 calls:

Slowest
2.1s
(sqrt (* (* (* U n) 2) (- t (* (/ l Om) (- (* 2 l) (- (* (* n (/ l Om)) (- U U*))))))))
2.0s
(sqrt (* (* (* U n) 2) (- t (* (/ l Om) (- (* 2 l) (- (* (* (/ n (* (cbrt Om) (cbrt Om))) (/ l (cbrt Om))) (- U U*))))))))
1.8s
(sqrt (* (* (* U n) 2) (- t (* (/ l Om) (- (* 2 l) (- (* (* n (/ l Om)) (- U U*))))))))
1.8s
(sqrt (* (* (* U n) 2) (- t (* (/ l Om) (- (* 2 l) (- (* (* n (/ l Om)) (- U U*))))))))
1.5s
(sqrt (* (* (* U n) 2) (- t (* (/ l Om) (- (* 2 l) (- (* (* n (/ l Om)) (- U U*))))))))

regimes2.1s (1.2%)

Accuracy

Total 4.9b remaining (2.6%)

Threshold costs 0.7b (0.4%)

4.2b0%Toniolo and Linder, Equation (13)
0.5b0%Random Jason Timeout Test 012
0.2b0%Random Jason Timeout Test 004
0.0b0%Random Jason Timeout Test 002
0.0b0%Random Jason Timeout Test 014

rewrite1.5s (0.9%)

Algorithm
19×rewrite-expression-head
Calls

57 calls:

Slowest
220.0ms
(+ (+ (* 1/6 (* c (* c c))) (* (pow c 5) 1/120)) c)
213.0ms
(+ (+ (* 1/6 (* c (* c c))) (* (pow c 5) 1/120)) c)
85.0ms
(* (* (/ n (* (cbrt Om) (cbrt Om))) (/ l (cbrt Om))) (- U U*))
73.0ms
(* 1/6 (* c (* c c)))
61.0ms
(sqrt (* (* (* U n) 2) (- t (* (/ l Om) (- (* 2 l) (- (* (* n (/ l Om)) (- U U*))))))))
Rules
249×pow1
215×add-exp-log
195×add-sqr-sqrt
186×add-cbrt-cube
166×*-un-lft-identity
134×add-cube-cbrt
98×pow-prod-down
84×prod-exp
80×cbrt-unprod
70×associate-*r*
67×add-log-exp
63×times-frac
57×insert-posit16
51×log-prod
43×associate-*l*
38×sqrt-pow1
36×associate-*r/
29×log-pow
21×exp-prod
20×flip3-- flip--
19×sqrt-prod
17×div-exp cbrt-undiv
16×unswap-sqr
15×*-commutative
14×difference-of-squares sub-neg distribute-lft-in distribute-lft-out-- sqrt-div distribute-rgt-in cbrt-prod
12×frac-times
11×unpow-prod-down
10×pow1/2 pow-prod-up
rem-log-exp exp-sum
sinh-def associate-*l/
sum-log
associate-/l* sqr-pow associate-/r*
pow-exp div-inv pow-unpow log-div
pow-to-exp unpow-prod-up rem-exp-log
distribute-lft-out exp-diff associate-/l/ cube-unmult pow2 associate-/r/ pow-plus associate-+l+ acos-asin +-commutative flip-+ flip3-+ pow-sqr
div-sub pow1/3 frac-2neg clear-num e-exp-1 pow-pow

localize862.0ms (0.5%)

bsearch20.0ms (0.0%)

end0.0ms (0.0%)