Details

sample1.9m (63.0%)

Algorithm
21×intervals
Results
1.1m39462×body10240exit
12.0s7422×body1280valid
8.8s58429×body80nan
7.8s3490×body2560valid
7.0s56614×body80valid
3.7s4631×body640valid
1.1s2250×body320valid
430.0ms1159×body160valid
189.0ms8356×pre80true
74.0ms25×body5120valid
31.0ms38×body2560nan
24.0msbody5120nan
9.0ms16×body1280nan
6.0ms15×body640nan
2.0ms10×body320nan
2.0ms10×body160nan

series43.4s (23.9%)

Calls

101 calls:

7.6s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
7.5s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
6.6s
(sqrt (* (* 2.0 n) (* U (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))))
5.1s
(sqrt (* (* 2.0 n) (* U (- (- t (* 2.0 (/ l (/ Om l)))) (* (* (* n (pow (/ l Om) 2.0)) (* (cbrt (- U U*)) (cbrt (- U U*)))) (cbrt (- U U*)))))))
2.1s
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))

prune11.6s (6.4%)

simplify4.9s (2.7%)

rewrite3.6s (2.0%)

Algorithm
34×rewrite-expression-head
Calls

101 calls:

480.0ms
(* (* 2.0 n) (* U (- (- t (* 2.0 (/ l (/ Om l)))) (* (* (* n (pow (/ l Om) 2.0)) (* (cbrt (- U U*)) (cbrt (- U U*)))) (cbrt (- U U*))))))
349.0ms
(sqrt (* (* 2.0 n) (* U (- (- t (* 2.0 (/ l (/ Om l)))) (* (* (* n (pow (/ l Om) 2.0)) (* (cbrt (- U U*)) (cbrt (- U U*)))) (cbrt (- U U*)))))))
256.0ms
(* U (- (- t (* 2.0 (/ l (/ Om l)))) (* (* (* n (pow (/ l Om) 2.0)) (* (cbrt (- U U*)) (cbrt (- U U*)))) (cbrt (- U U*)))))
231.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
197.0ms
(* (* 2.0 n) (* U (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
Rules
566×associate-*r/
463×add-sqr-sqrt
368×*-un-lft-identity
338×cbrt-div
311×pow1
297×flip-- flip3--
286×add-cube-cbrt
280×add-exp-log
207×add-cbrt-cube
185×frac-sub
174×frac-times
160×cbrt-prod
134×sqrt-prod
106×add-log-exp
105×associate-*r*
98×prod-exp
88×associate-*l/
87×times-frac
84×pow-prod-down
80×sqrt-div
74×distribute-rgt-in distribute-lft-in
68×unpow-prod-down
62×cbrt-unprod
61×associate-*l*
60×log-prod
50×sub-neg sqrt-pow1
44×swap-sqr
40×distribute-lft-out--
38×unswap-sqr
36×log-pow pow1/2
35×cube-prod difference-of-squares
33×exp-prod
32×associate--l+
30×pow-unpow
24×pow1/3
22×pow-exp
20×*-commutative sinh-def
18×associate-/r*
17×sqr-pow
16×pow-prod-up pow-to-exp
14×pow-pow
12×pow-sqr unpow-prod-up associate-/l*
11×cube-mult unpow3 div-exp
10×rem-sqrt-square associate-/r/
rem-log-exp
div-inv
rem-cube-cbrt
cbrt-undiv pow-plus pow2
cube-div rem-cbrt-cube clear-num frac-2neg
exp-sum distribute-rgt-out--
diff-log associate-/l/ rem-square-sqrt sqrt-pow2 acos-asin asin-acos rem-exp-log sqrt-unprod pow-sub
div-sub associate--r- sub-div

regimes2.6s (1.4%)

Accuracy

Total 12.2b remaining (5.8%)

Threshold costs 0.4b (0.2%)

9.8b29.2%Toniolo and Linder, Equation (13)
2.0b0%Random Jason Timeout Test 006
0.4b0%Random Jason Timeout Test 012
0.0b0%Random Jason Timeout Test 004
0.0b0%Random Jason Timeout Test 003

localize797.0ms (0.4%)

bsearch252.0ms (0.1%)

end0.0ms (0.0%)