Details

simplify1.9m (40.0%)

sample1.9m (38.7%)

Algorithm
21×intervals
Results
1.1m38782×body10240exit
12.7s7471×body1280valid
8.7s3433×body2560valid
7.1s57855×body80nan
6.4s56581×body80valid
3.5s4578×body640valid
1.2s2330×body320valid
333.0ms1184×body160valid
217.0ms8356×pre80true
92.0ms33×body5120valid
33.0ms10×body5120nan
17.0ms20×body2560nan
11.0ms18×body1280nan
5.0ms12×body640nan
5.0ms16×body320nan
2.0ms11×body160nan

series46.8s (16.0%)

Calls

94 calls:

8.1s
(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*)))))
7.7s
(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 l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
6.7s
(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*))))))
2.0s
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))

prune9.4s (3.2%)

rewrite2.9s (1.0%)

Algorithm
32×rewrite-expression-head
Calls

94 calls:

281.0ms
(* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))
268.0ms
(* (* (* 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*))))
213.0ms
(* (* (* 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*)))))
183.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
175.0ms
(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*)))))
Rules
384×add-sqr-sqrt
335×add-exp-log
301×pow1
300×*-un-lft-identity
258×add-cube-cbrt
197×add-cbrt-cube
183×associate-*r*
143×prod-exp
110×sqrt-pow1
107×log-pow
106×unpow-prod-down
104×add-log-exp
102×associate-*r/ log-prod
86×cbrt-prod
85×sqrt-prod
77×pow-prod-down
68×times-frac
66×associate-*l*
60×pow1/2
59×cbrt-unprod
53×distribute-rgt-in distribute-lft-in
49×flip-- flip3--
40×pow-exp
38×unswap-sqr
37×exp-prod
32×sub-neg frac-sub
24×sqrt-div pow-to-exp
23×*-commutative pow-prod-up
22×sqr-pow
21×difference-of-squares distribute-lft-out--
18×div-exp
16×pow-unpow associate--l+
13×pow-sqr
12×rem-log-exp
pow1/3 pow-pow
cube-prod swap-sqr rem-sqrt-square associate-/r*
unpow-prod-up
sum-log div-inv associate-/l*
sinh-def
cbrt-undiv pow-plus acos-asin exp-sum pow2
associate-/l/ associate-+r+ unpow3 cube-mult +-commutative flip3-+ sqrt-pow2 flip-+ associate-/r/ clear-num frac-2neg pow-sub
rem-square-sqrt e-exp-1 sqrt-unprod rem-exp-log div-sub unpow2

regimes2.5s (0.9%)

Accuracy

Total 10.6b remaining (4.8%)

Threshold costs 0.5b (0.2%)

8.0b14.9%Toniolo and Linder, Equation (13)
2.0b0%Random Jason Timeout Test 006
0.5b0%Random Jason Timeout Test 012
0.0b0%Random Jason Timeout Test 004
0.0b0%Random Jason Timeout Test 003

localize766.0ms (0.3%)

bsearch157.0ms (0.1%)

end0.0ms (0.0%)