Details

sample1.4m (51.2%)

Algorithm
18×intervals
Results
51.8s32766×body10240exit
7.3s3469×body2560valid
6.5s38064×body80nan
5.5s37332×body80valid
4.6s4957×body1280valid
1.8s2915×body640valid
753.0ms1417×body320valid
382.0ms8356×pre80true
216.0ms749×body160valid
97.0ms78×body1280nan
69.0ms47×body2560nan
43.0ms26×body5120valid
19.0ms25×body640nan
6.0ms14×body320nan
2.0msbody5120nan
2.0msbody160nan

simplify48.7s (30.2%)

prune14.9s (9.2%)

series12.4s (7.7%)

Calls

44 calls:

2.7s
(sqrt (* (* U n) (* 2 (- t (* (/ l Om) (- (* 2 l) (* (/ n (/ Om l)) (- U* U))))))))
2.2s
(sqrt (* (* U n) (* 2 (- t (* (/ l Om) (- (* 2 l) (* (/ 1 (/ (/ Om l) n)) (- U* U))))))))
1.5s
(sqrt (* (* U n) (* 2 (- t (* (/ l Om) (- (* 2 l) (* (/ n (/ Om l)) (- U* U))))))))
1.5s
(sqrt (* (* U n) (* 2 (- t (* (/ l Om) (- (* 2 l) (* (/ n (/ Om l)) (- U* U))))))))
1.5s
(sqrt (* (* U n) (* 2 (- t (* (/ l Om) (- (* 2 l) (* (/ (/ n (* (cbrt (/ Om l)) (cbrt (/ Om l)))) (cbrt (/ Om l))) (- U* U))))))))

regimes1.8s (1.1%)

Accuracy

Total 8.4b remaining (4.6%)

Threshold costs 0.5b (0.2%)

7.9b13%Toniolo and Linder, Equation (13)
0.4b0%Random Jason Timeout Test 012
0.0b0%Random Jason Timeout Test 004

rewrite495.0ms (0.3%)

Algorithm
15×rewrite-expression-head
Calls

44 calls:

51.0ms
(sqrt (* (* U n) (* 2 (- t (* (/ l Om) (- (* 2 l) (* (/ 1 (/ (/ Om l) n)) (- U* U))))))))
48.0ms
(* (/ 1 (/ (/ Om l) n)) (- U* U))
46.0ms
(* (/ n (/ Om l)) (- U* U))
34.0ms
(/ (- x lo) (- hi lo))
33.0ms
(* (* U n) (* 2 (- t (* (/ l Om) (- (* 2 l) (* (/ 1 (/ (/ Om l) n)) (- U* U)))))))
Rules
610×times-frac
433×add-sqr-sqrt
392×*-un-lft-identity
361×add-cube-cbrt
188×associate-*l*
179×pow1
148×add-exp-log
129×add-cbrt-cube
77×pow-prod-down
46×prod-exp
44×add-log-exp insert-posit16
42×cbrt-prod
40×cbrt-unprod associate-*r/
36×distribute-lft-in distribute-rgt-in
33×sqrt-pow1
31×div-inv
25×div-exp
23×sqrt-prod
21×associate-/l* associate-/r*
20×sub-neg associate-*r*
16×cbrt-undiv
15×flip3-- flip--
14×distribute-lft-out-- unswap-sqr difference-of-squares
13×pow1/2
12×log-prod
10×sqrt-div log-pow
swap-sqr
*-commutative
exp-prod
pow-prod-up associate-/r/
pow1/3 frac-times
rem-log-exp cbrt-div associate-/l/ frac-2neg 1-exp rec-exp clear-num pow-sqr
sinh-def acos-asin associate-*l/
div-sub rem-square-sqrt pow2 pow-plus sqrt-unprod

localize476.0ms (0.3%)

bsearch100.0ms (0.1%)

end0.0ms (0.0%)