Details

simplify1.7m (55.5%)

sample36.6s (20.0%)

Algorithm
17×intervals
Results
20.5s19624×body10240exit
4.5s2509×body1280valid
4.0s37733×body80valid
2.1s17318×body80nan
1.7s1812×body640valid
417.0ms901×body320valid
255.0ms119×body2560valid
185.0ms8356×pre80true
111.0ms458×body160valid
30.0ms17×body5120valid
16.0ms19×body2560nan
4.0ms12×body1280nan
1.0msbody640nan
1.0msbody320nan
0.0msbody160nan

series33.1s (18.1%)

Calls

69 calls:

7.1s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
5.2s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
5.1s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* (cbrt n) (cbrt n)) (* (cbrt 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*))))))
1.8s
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))

prune7.1s (3.9%)

localize1.8s (1.0%)

rewrite1.6s (0.9%)

Algorithm
23×rewrite-expression-head
Calls

69 calls:

197.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* (pow (/ l Om) 2.0) (- U U*))))))
153.0ms
(* (* (cbrt n) (cbrt n)) (* (cbrt n) (* (pow (/ l Om) 2.0) (- U U*))))
139.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
126.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* 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
249×add-sqr-sqrt
238×add-exp-log
214×pow1
195×*-un-lft-identity
159×add-cube-cbrt
148×add-cbrt-cube
124×associate-*r/
102×prod-exp
73×sqrt-prod
69×add-log-exp
65×pow-prod-down
63×associate-*r* unpow-prod-down
59×associate-*l*
58×distribute-rgt-in distribute-lft-in times-frac
54×cbrt-unprod
48×flip3-- flip--
43×sqrt-pow1
40×sub-neg
32×frac-sub sqrt-div
31×pow1/2
27×log-prod
20×pow-exp unswap-sqr
18×distribute-lft-out-- difference-of-squares
16×swap-sqr associate--l+
15×log-pow
14×sinh-def
13×*-commutative
12×pow-to-exp pow-unpow
11×div-exp
10×pow-prod-up sqr-pow
unpow-prod-up associate-/r* pow-pow
exp-prod
associate-/l* rem-sqrt-square pow-sqr
rem-log-exp div-inv
cbrt-prod
cbrt-undiv exp-sum associate-*l/
associate-/r/ frac-times associate-/l/ pow1/3 rem-square-sqrt frac-2neg pow2 pow-plus pow-sub acos-asin sqrt-unprod clear-num sqrt-pow2
div-sub rem-exp-log pow3 cbrt-div sin-mult rem-cbrt-cube

regimes1.2s (0.7%)

Accuracy

Total 11.6b remaining (9.1%)

Threshold costs 0.0b (0%)

10.3b10.1%Toniolo and Linder, Equation (13)
1.3b0%Random Jason Timeout Test 006
0.0b0%Random Jason Timeout Test 002
0.0b0%Random Jason Timeout Test 014

bsearch143.0ms (0.1%)

end0.0ms (0.0%)