Details

sample1.9m (48.7%)

Algorithm
21×intervals
Results
1.1m39132×body10240exit
11.4s7343×body1280valid
7.6s3402×body2560valid
7.6s58566×body80nan
7.4s56648×body80valid
3.9s4707×body640valid
1.6s2314×body320valid
348.0ms1174×body160valid
146.0ms8356×pre80true
79.0ms31×body5120valid
23.0ms28×body2560nan
18.0msbody5120nan
7.0ms20×body1280nan
6.0ms20×body640nan
2.0msbody320nan
2.0msbody160nan

simplify1.3m (33.2%)

series24.9s (10.8%)

Calls

89 calls:

3.1s
(sqrt (* (- t (fma 2.0 (/ l (/ Om l)) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*)))) (* (* 2.0 n) U)))
2.9s
(sqrt (* (- t (fma 2.0 (/ l (/ Om l)) (* (* n (pow (/ l Om) (/ 2.0 2))) (* (- U U*) (pow (/ l Om) (/ 2.0 2)))))) (* (* 2.0 n) U)))
2.9s
(sqrt (* (- t (fma 2.0 (/ l (/ Om l)) (* (* n (pow (/ l Om) 2.0)) (- U U*)))) (* (* 2.0 n) U)))
2.8s
(sqrt (* (- t (fma 2.0 (/ (* l l) Om) (* (* n (pow (/ l Om) 2.0)) (- U U*)))) (* (* 2.0 n) U)))
1.2s
(* (- t (fma 2.0 (/ (* l l) Om) (* (* n (pow (/ l Om) 2.0)) (- U U*)))) (* (* 2.0 n) U))

prune10.6s (4.6%)

regimes2.7s (1.2%)

Accuracy

Total 10.7b remaining (4.8%)

Threshold costs 0.6b (0.3%)

8.7b12.9%Toniolo and Linder, Equation (13)
1.3b0%Random Jason Timeout Test 006
0.4b0%Random Jason Timeout Test 012
0.1b0%Random Jason Timeout Test 003
0.1b0%Random Jason Timeout Test 015

rewrite1.8s (0.8%)

Algorithm
27×rewrite-expression-head
Calls

89 calls:

223.0ms
(* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))
110.0ms
(sqrt (* (- t (fma 2.0 (/ l (/ Om l)) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*)))) (* (* 2.0 n) U)))
103.0ms
(* (- t (fma 2.0 (/ (* l l) Om) (* (* n (pow (/ l Om) 2.0)) (- U U*)))) (* (* 2.0 n) U))
97.0ms
(sqrt (* (- t (fma 2.0 (/ l (/ Om l)) (* (* n (pow (/ l Om) 2.0)) (- U U*)))) (* (* 2.0 n) U)))
95.0ms
(* (- t (fma 2.0 (/ l (/ Om l)) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*)))) (* (* 2.0 n) U))
Rules
393×add-sqr-sqrt
343×*-un-lft-identity
291×add-cube-cbrt
280×add-exp-log
208×pow1
159×add-cbrt-cube
126×prod-diff
117×prod-exp
108×unpow-prod-down
93×log1p-expm1-u associate-*r*
89×add-log-exp expm1-log1p-u
88×unpow-prod-up
68×times-frac
64×log-pow
58×sqrt-prod
54×exp-prod
53×pow-prod-down
43×associate-*l*
42×cbrt-unprod
36×pow-exp log-prod
33×distribute-rgt-in distribute-lft-in
32×sqrt-pow1
31×cbrt-prod
30×pow-unpow
26×difference-of-squares distribute-lft-out--
21×pow-to-exp
20×unswap-sqr pow1/2
18×associate-*l/ div-exp pow-pow
16×sqr-pow
14×flip-- flip3-- sub-neg
12×*-commutative
11×expm1-udef pow1/3
10×rem-sqrt-square
sqrt-div rem-log-exp associate-/r*
expm1-log1p associate-/l* sqrt-pow2 swap-sqr associate-*r/ sin-sum div-inv pow-sub
acos-asin
cbrt-undiv exp-diff log-div
associate-/l/ pow-sqr fma-udef associate-/r/ pow-prod-up clear-num frac-2neg sin-diff
pow-plus div-sub log1p-udef log1p-expm1 pow2

localize843.0ms (0.4%)

bsearch644.0ms (0.3%)

end0.0ms (0.0%)