Details

sample1.0m (59.6%)

Algorithm
21×intervals
Results
35.8s39414×body10240exit
6.8s7225×body1280valid
5.3s3399×body2560valid
2.8s56585×body80valid
2.7s57365×body80nan
2.1s4713×body640valid
572.0ms2383×body320valid
218.0ms1210×body160valid
101.0ms8356×pre80true
51.0ms29×body5120valid
20.0ms33×body2560nan
19.0msbody5120nan
8.0ms23×body1280nan
3.0ms12×body640nan
3.0ms14×body320nan
1.0ms10×body160nan

series29.9s (28.6%)

Calls

82 calls:

5.1s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* (* (cbrt (* n (pow (/ l Om) 2.0))) (cbrt (* n (pow (/ l Om) 2.0)))) (cbrt (* n (pow (/ l Om) 2.0)))) (- U U*)))))
4.9s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
4.9s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
4.9s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
1.4s
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))

prune5.7s (5.5%)

simplify3.2s (3.1%)

rewrite1.4s (1.3%)

Algorithm
27×rewrite-expression-head
Calls

82 calls:

251.0ms
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* (* (cbrt (* n (pow (/ l Om) 2.0))) (cbrt (* n (pow (/ l Om) 2.0)))) (cbrt (* n (pow (/ l Om) 2.0)))) (- U U*)))))
135.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
131.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
129.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
112.0ms
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
Rules
273×add-sqr-sqrt
239×*-un-lft-identity
209×add-cube-cbrt
182×add-exp-log
178×pow1
135×add-cbrt-cube
90×prod-diff
84×expm1-log1p-u
83×log1p-expm1-u
82×add-log-exp
78×associate-*r/
74×cbrt-prod
70×associate-*r*
63×distribute-rgt-in distribute-lft-in
56×prod-exp
49×pow-prod-down
48×times-frac
40×flip-- flip3--
32×cbrt-unprod
30×unpow-prod-down associate--l+
28×pow1/3 frac-sub
27×log-prod
24×sqrt-div associate-*l*
18×sinh-def sub-neg sqrt-pow1
16×unswap-sqr
15×log-pow difference-of-squares distribute-lft-out--
14×cbrt-div
12×swap-sqr
10×*-commutative sqrt-prod exp-prod pow-exp
div-exp associate-/r*
associate-/l* rem-log-exp pow1/2
pow-to-exp
expm1-udef fma-udef pow-prod-up div-inv sqr-pow pow-sqr
expm1-log1p cbrt-undiv exp-sum
associate-/l/ associate-*l/ pow-plus acos-asin rem-sqrt-square log1p-udef frac-times associate-/r/ pow2 clear-num frac-2neg log1p-expm1
rem-exp-log div-sub sin-diff

regimes1.3s (1.3%)

Accuracy

Total 10.1b remaining (4.6%)

Threshold costs 0.5b (0.2%)

7.8b14.3%Toniolo and Linder, Equation (13)
1.8b0%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 002

localize399.0ms (0.4%)

bsearch345.0ms (0.3%)

end0.0ms (0.0%)