Details

sample1.9m (40.5%)

Algorithm
21×intervals
Results
1.1m38592×body10240exit
13.0s7305×body1280valid
8.3s3466×body2560valid
7.1s56635×body80valid
6.9s57984×body80nan
4.5s4670×body640valid
1.6s2330×body320valid
316.0ms1132×body160valid
300.0ms8356×pre80true
69.0ms35×body5120valid
30.0ms27×body2560nan
25.0msbody5120nan
17.0ms28×body1280nan
5.0ms15×body640nan
3.0ms13×body320nan
1.0msbody160nan

simplify1.6m (35.5%)

series49.2s (17.9%)

Calls

99 calls:

7.1s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
7.0s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
6.9s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*)))))
5.8s
(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 (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))

prune10.0s (3.6%)

rewrite3.2s (1.1%)

Algorithm
29×rewrite-expression-head
Calls

99 calls:

276.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))))
257.0ms
(* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))
204.0ms
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*)))))
203.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
193.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
Rules
411×add-sqr-sqrt
397×*-un-lft-identity
317×add-cube-cbrt
313×add-exp-log
244×pow1
207×cbrt-prod
193×add-cbrt-cube
166×unpow-prod-down
156×times-frac
127×prod-exp
108×associate-*r* add-log-exp
106×associate-*r/
98×cube-prod
97×sqrt-prod
69×pow-prod-down
61×sqrt-pow1
55×flip-- flip3--
50×cbrt-unprod
42×pow-exp log-prod
41×pow-unpow
40×frac-sub
33×exp-prod
32×sqr-pow sqrt-div associate-*l*
30×sub-neg
28×pow-to-exp
26×distribute-rgt-in distribute-lft-in unswap-sqr
24×pow1/2
23×pow-pow
22×pow1/3 log-pow
21×distribute-lft-out
20×associate--l+
19×difference-of-squares distribute-lft-out--
18×cube-mult unpow3
17×div-exp
15×*-commutative
10×cube-div
div-inv
sinh-def rem-cube-cbrt swap-sqr unpow-prod-up pow-prod-up associate-/r*
rem-log-exp
pow-sqr rem-cbrt-cube associate-/l*
cbrt-div sqrt-pow2 cosh-def
cbrt-undiv flip-+ flip3-+ rem-sqrt-square pow-sub
+-commutative sum-log acos-asin rem-exp-log
associate-/l/ associate-/r/ clear-num frac-2neg
pow-plus rem-square-sqrt div-sub sqrt-unprod pow2

regimes2.7s (1.0%)

Accuracy

Total 12.5b remaining (5.7%)

Threshold costs 0.4b (0.2%)

8.8b19.3%Toniolo and Linder, Equation (13)
1.7b0%Random Jason Timeout Test 004
1.6b0%Random Jason Timeout Test 006
0.4b75.1%Random Jason Timeout Test 012
0.0b0%Random Jason Timeout Test 003

localize766.0ms (0.3%)

bsearch298.0ms (0.1%)

end0.0ms (0.0%)