Details

sample1.3m (52.3%)

Algorithm
18×intervals
Results
49.9s32422×body10240exit
7.0s3448×body2560valid
5.4s38059×body80nan
5.0s37189×body80valid
5.0s4973×body1280valid
1.5s2902×body640valid
754.0ms8356×pre80true
591.0ms1531×body320valid
209.0ms744×body160valid
101.0ms73×body1280nan
51.0ms43×body2560nan
32.0ms19×body5120valid
24.0ms10×body5120nan
15.0ms26×body640nan
14.0ms24×body320nan
3.0ms12×body160nan

simplify42.4s (28.0%)

prune15.8s (10.5%)

series10.5s (6.9%)

Calls

48 calls:

2.2s
(sqrt (* U (* n (* 2 (- t (* (/ l Om) (- (* 2 l) (* (/ n (/ Om l)) (- U* U)))))))))
2.0s
(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 (/ 1 (/ Om l))) (- U* U)))))))))
579.0ms
(cbrt (log1p a))
517.0ms
(* (* U n) (* 2 (- t (* (/ l Om) (- (* 2 l) (* (/ n (/ Om l)) (- U* U)))))))

regimes2.2s (1.4%)

Accuracy

Total 10.5b remaining (5.8%)

Threshold costs 0.4b (0.2%)

8.3b25.6%Toniolo and Linder, Equation (13)
1.8b0%Random Jason Timeout Test 004
0.4b0%Random Jason Timeout Test 012

rewrite627.0ms (0.4%)

Algorithm
15×rewrite-expression-head
Calls

48 calls:

61.0ms
(* (* U n) (* 2 (- t (* (/ l Om) (- (* 2 l) (* (/ n (/ Om l)) (- U* U)))))))
60.0ms
(* U (* n (* 2 (- t (* (/ l Om) (- (* 2 l) (* (/ n (/ Om l)) (- U* U))))))))
54.0ms
(sqrt (* U (* n (* 2 (- t (* (/ l Om) (- (* 2 l) (* (/ n (/ Om l)) (- U* U)))))))))
50.0ms
(* U (* n (* 2 (- t (* (/ l Om) (- (* 2 l) (* (* n (/ 1 (/ Om l))) (- U* U))))))))
49.0ms
(* U (* n (* 2 (- t (* (/ l Om) (- (* 2 l) (* (* n (/ 1 (/ Om l))) (- U* U))))))))
Rules
457×times-frac
390×add-sqr-sqrt
348×*-un-lft-identity
312×add-cube-cbrt
223×add-exp-log
163×add-cbrt-cube
153×pow1
112×associate-*r*
106×associate-*l*
88×distribute-lft-in distribute-rgt-in
82×prod-exp
62×pow-prod-down
54×associate-*r/
52×cbrt-unprod
48×add-log-exp insert-posit16
41×div-exp
36×sub-neg
31×associate-/r*
27×div-inv cbrt-prod
25×cbrt-undiv
19×flip3-- flip--
16×distribute-lft-out-- unswap-sqr difference-of-squares
13×sqrt-pow1
12×frac-times log-pow
11×associate-/l* unpow-prod-down
10×*-commutative
exp-prod pow1/3 pow-unpow
un-div-inv 1-exp associate-/r/ rec-exp
sqrt-div log-prod associate-*l/ pow-exp pow-pow
pow1/2 frac-2neg sqr-pow clear-num pow-to-exp sqrt-prod
rem-log-exp sinh-def associate-/l/ acos-asin
div-sub unpow1/2

localize515.0ms (0.3%)

bsearch132.0ms (0.1%)

end0.0ms (0.0%)