Details

sample1.8m (41.0%)

Algorithm
21×intervals
Results
1.0m38592×body10240exit
13.1s7305×body1280valid
8.4s3466×body2560valid
7.8s56635×body80valid
6.8s57984×body80nan
4.2s4670×body640valid
1.3s2330×body320valid
307.0ms1132×body160valid
188.0ms8356×pre80true
78.0ms35×body5120valid
26.0ms27×body2560nan
26.0msbody5120nan
15.0ms28×body1280nan
5.0ms15×body640nan
4.0ms13×body320nan
1.0msbody160nan

simplify1.7m (37.0%)

series43.3s (16.1%)

Calls

98 calls:

7.5s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
7.4s
(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*)))))
7.1s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
2.3s
(sqrt (* (- (- t (* 2.0 (/ l (/ Om l)))) (* (- U U*) (* n (pow (/ l Om) (* 2 (/ 2.0 2)))))) (* (* 2.0 n) U)))
2.3s
(sqrt (* (- (- t (* 2.0 (/ l (/ Om l)))) (* (- U U*) (* n (pow (/ l Om) (* 2 (/ 2.0 2)))))) (* (* 2.0 n) U)))

prune9.2s (3.4%)

rewrite2.9s (1.1%)

Algorithm
29×rewrite-expression-head
Calls

98 calls:

275.0ms
(* (* (* 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*))))
221.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
192.0ms
(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*)))))
186.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
182.0ms
(* (- (- t (* 2.0 (/ l (/ Om l)))) (* (- U U*) (* n (pow (/ l Om) (* 2 (/ 2.0 2)))))) (* (* 2.0 n) U))
Rules
338×add-sqr-sqrt
309×add-exp-log
290×*-un-lft-identity
244×add-cube-cbrt
241×pow1
189×add-cbrt-cube
127×prod-exp
110×unpow-prod-down
109×add-log-exp
106×cbrt-prod
104×associate-*r*
69×pow-prod-down
68×associate-*r/
65×sqrt-prod
60×sqrt-pow1
55×flip-- flip3--
50×cbrt-unprod
48×times-frac
42×cube-prod log-prod
40×associate-*l/ frac-sub pow-exp
38×pow-unpow
36×associate-*l*
33×exp-prod
30×sqrt-div
27×sqr-pow pow-to-exp
26×unswap-sqr
23×pow1/2
22×sub-neg log-pow
21×pow1/3
20×pow-pow
19×difference-of-squares distribute-lft-out--
18×distribute-rgt-in distribute-lft-in
16×div-exp
15×*-commutative
13×cube-mult unpow3
12×associate--l+
10×cube-div
sinh-def swap-sqr unpow-prod-up pow-prod-up associate-/r*
rem-log-exp
rem-cube-cbrt pow-sqr flip-+ flip3-+ associate-/l*
cbrt-div rem-cbrt-cube cosh-def
+-commutative sqrt-pow2 sum-log rem-sqrt-square distribute-lft-out div-inv pow-sub
cbrt-undiv acos-asin rem-exp-log
associate-/l/ associate-/r/ clear-num frac-2neg
pow-plus rem-square-sqrt div-sub sqrt-unprod pow2

regimes2.5s (0.9%)

Accuracy

Total 12.0b remaining (5.5%)

Threshold costs 0.4b (0.2%)

8.8b20.4%Toniolo and Linder, Equation (13)
1.6b0%Random Jason Timeout Test 006
1.2b0%Random Jason Timeout Test 004
0.4b75.1%Random Jason Timeout Test 012
0.0b0%Random Jason Timeout Test 003

localize833.0ms (0.3%)

bsearch313.0ms (0.1%)

end0.0ms (0.0%)