Details

sample1.8m (43.4%)

Algorithm
21×intervals
Results
1.1m39290×body10240exit
12.3s7372×body1280valid
7.5s3437×body2560valid
6.8s56590×body80valid
5.7s57770×body80nan
3.6s4536×body640valid
1.6s2386×body320valid
374.0ms1187×body160valid
141.0ms8356×pre80true
92.0ms33×body5120valid
26.0msbody5120nan
19.0ms21×body2560nan
10.0ms19×body1280nan
4.0ms14×body640nan
3.0ms13×body160nan
2.0msbody320nan

simplify1.0m (24.6%)

series59.1s (23.3%)

Calls

86 calls:

15.1s
(sqrt (* (* (* 2.0 n) (+ t (- (* (* n (pow (/ l Om) 2.0)) (- U* U)) (* (* 2.0 l) (/ l Om))))) U))
14.1s
(sqrt (* (* 2.0 n) (* (+ t (- (* (* n (pow (/ l Om) 2.0)) (- U* U)) (* (* 2.0 l) (/ l Om)))) U)))
10.2s
(sqrt (* (* 2.0 n) (* (+ t (- (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U* U)) (* (* 2.0 l) (/ l Om)))) U)))
9.7s
(sqrt (* (* 2.0 n) (* (+ t (- (* (* n (pow (/ l Om) (/ 2.0 2))) (* (pow (/ l Om) (/ 2.0 2)) (- U* U))) (* (* 2.0 l) (/ l Om)))) U)))
1.6s
(* (* (* 2.0 n) (+ t (- (* (* n (pow (/ l Om) 2.0)) (- U* U)) (* (* 2.0 l) (/ l Om))))) U)

prune13.1s (5.1%)

rewrite4.6s (1.8%)

Algorithm
27×rewrite-expression-head
Calls

86 calls:

807.0ms
(* (* 2.0 n) (* (+ t (- (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U* U)) (* (* 2.0 l) (/ l Om)))) U))
800.0ms
(sqrt (* (* 2.0 n) (* (+ t (- (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U* U)) (* (* 2.0 l) (/ l Om)))) U)))
424.0ms
(* (* (* 2.0 n) (+ t (- (* (* n (pow (/ l Om) 2.0)) (- U* U)) (* (* 2.0 l) (/ l Om))))) U)
421.0ms
(sqrt (* (* (* 2.0 n) (+ t (- (* (* n (pow (/ l Om) 2.0)) (- U* U)) (* (* 2.0 l) (/ l Om))))) U))
352.0ms
(* (* 2.0 n) (* (+ t (- (* (* n (pow (/ l Om) (/ 2.0 2))) (* (pow (/ l Om) (/ 2.0 2)) (- U* U))) (* (* 2.0 l) (/ l Om)))) U))
Rules
397×add-sqr-sqrt
346×*-un-lft-identity
295×add-exp-log
250×add-cube-cbrt
248×pow1
164×add-cbrt-cube
131×times-frac
128×prod-exp
124×cbrt-prod
123×unpow-prod-down
116×associate-*r*
109×sqrt-prod
86×add-log-exp
70×pow-prod-down
64×cbrt-div
60×sqrt-pow1
58×associate-*l*
50×cbrt-unprod
38×pow-exp
37×pow1/2
36×associate-*r/ distribute-lft-out--
32×difference-of-squares flip3-- flip-- unswap-sqr
30×pow-unpow
28×associate-*l/ swap-sqr
26×pow-pow
24×frac-times
22×pow-to-exp flip-+ flip3-+
19×div-exp associate-/r*
18×associate-/l/
16×pow1/3 sqr-pow
15×rem-sqrt-square *-commutative
14×sub-neg
13×associate-/l*
12×unpow-prod-up
10×distribute-lft-out
pow-prod-up
distribute-rgt-in log-pow sqrt-div div-inv distribute-lft-in
pow-sqr
associate-/r/ exp-prod pow-sub sqrt-pow2 log-prod
cbrt-undiv frac-2neg pow2 pow-plus clear-num
rem-log-exp acos-asin
div-sub rem-square-sqrt sqrt-unprod

regimes2.8s (1.1%)

Accuracy

Total 11.6b remaining (5.3%)

Threshold costs 0.4b (0.2%)

10.1b25.8%Toniolo and Linder, Equation (13)
1.1b0%Random Jason Timeout Test 006
0.4b0%Random Jason Timeout Test 012
0.0b0%Random Jason Timeout Test 004

localize1.4s (0.6%)

bsearch106.0ms (0.0%)

end0.0ms (0.0%)