Details

sample1.9m (40.7%)

Algorithm
21×intervals
Results
1.0m38429×body10240exit
13.4s7361×body1280valid
8.1s3358×body2560valid
7.7s58246×body80nan
7.3s56639×body80valid
4.1s4678×body640valid
1.5s2302×body320valid
340.0ms1221×body160valid
189.0ms8356×pre80true
76.0ms29×body5120valid
19.0ms28×body2560nan
16.0msbody5120nan
11.0ms21×body1280nan
4.0ms11×body640nan
2.0ms10×body320nan
2.0ms10×body160nan

simplify1.7m (35.8%)

series45.1s (16.3%)

Calls

99 calls:

7.3s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
7.2s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
7.2s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*)))))
7.1s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) (/ 2.0 2))) (* (- U U*) (pow (/ l Om) (/ 2.0 2)))))))
2.0s
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))

prune13.1s (4.7%)

rewrite3.8s (1.4%)

Algorithm
31×rewrite-expression-head
Calls

99 calls:

545.0ms
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
350.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))))
313.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) (/ 2.0 2))) (* (- U U*) (pow (/ l Om) (/ 2.0 2))))))
277.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
237.0ms
(* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))
Rules
716×add-sqr-sqrt
430×*-un-lft-identity
428×sqrt-prod
394×add-cube-cbrt
319×add-exp-log
271×pow1
228×unpow-prod-down
192×prod-diff
191×associate-*r*
181×add-cbrt-cube
144×cbrt-prod
140×prod-exp
124×swap-sqr
118×unpow-prod-up
117×associate-*l*
114×unswap-sqr
101×log1p-expm1-u
100×add-log-exp expm1-log1p-u
92×associate-*r/
73×distribute-rgt-in distribute-lft-in
69×pow-prod-down
68×times-frac
62×sqrt-pow1
50×pow1/2
49×cbrt-unprod
46×flip-- flip3--
44×pow-exp
40×associate--l+
38×sqr-pow
37×sqrt-div
36×sub-neg
32×frac-sub
29×pow-to-exp
21×pow-prod-up
19×*-commutative
18×difference-of-squares rem-sqrt-square distribute-lft-out-- div-exp
16×exp-prod
15×associate-*l/ pow-sqr log-prod
14×log-pow sinh-def
12×pow1/3
10×pow-unpow pow-sub
cosh-def associate-/r*
pow2
associate-/l* pow-pow div-inv expm1-udef
pow-plus acos-asin frac-times
sqrt-unprod rem-log-exp
expm1-log1p cbrt-undiv rem-square-sqrt sin-diff exp-sum
associate-/l/ rem-exp-log sqrt-pow2 fma-udef associate-/r/ clear-num frac-2neg
exp-diff log-div div-sub log1p-udef log1p-expm1

regimes2.1s (0.8%)

Accuracy

Total 12.5b remaining (5.7%)

Threshold costs 1.0b (0.5%)

8.2b15%Toniolo and Linder, Equation (13)
1.7b0%Random Jason Timeout Test 006
1.7b0%Random Jason Timeout Test 004
0.4b0%Random Jason Timeout Test 012
0.3b0%Random Jason Timeout Test 002

localize826.0ms (0.3%)

bsearch158.0ms (0.1%)

end0.0ms (0.0%)