Details

sample1.9m (45.8%)

Algorithm
21×intervals
Results
1.1m39064×body10240exit
11.8s7239×body1280valid
8.9s3437×body2560valid
7.1s56551×body80valid
6.7s57394×body80nan
3.9s4706×body640valid
1.5s2326×body320valid
369.0ms1246×body160valid
215.0ms8356×pre80true
78.0ms30×body5120valid
18.0msbody5120nan
15.0ms22×body2560nan
13.0ms29×body1280nan
5.0ms18×body640nan
2.0ms10×body160nan
2.0msbody320nan

simplify1.2m (28.1%)

series45.4s (18.2%)

Calls

112 calls:

7.8s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
7.6s
(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*)))))
7.2s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* 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*))))))
2.1s
(* (* (* 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*))))

prune13.1s (5.2%)

rewrite3.4s (1.4%)

Algorithm
33×rewrite-expression-head
Calls

112 calls:

250.0ms
(* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))
235.0ms
(* (* (* 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*))))
218.0ms
(* (* (* 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*)))))
208.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
191.0ms
(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
694×add-sqr-sqrt
436×sqrt-prod
431×unpow-prod-down
383×add-exp-log
382×*-un-lft-identity
338×add-cube-cbrt
269×pow1
216×add-cbrt-cube
211×associate-*r*
171×prod-exp
146×unswap-sqr
133×associate-*l*
129×add-log-exp
102×associate-*r/
100×swap-sqr
83×sqr-pow
74×pow-prod-down
68×times-frac
67×pow-exp
56×cbrt-unprod
55×sqrt-pow1
52×unpow-prod-up pow-to-exp
50×sub-neg
46×flip-- flip3--
43×sqrt-div pow1/2
32×exp-prod frac-sub
31×pow-unpow
30×log-pow
29×cube-prod
24×*-commutative distribute-rgt-in distribute-lft-in cbrt-prod log-prod
20×rem-sqrt-square
18×pow-sub difference-of-squares distribute-lft-out-- div-exp
17×associate-*l/
16×associate--l+
13×pow-pow
12×sinh-def
10×flip-+ flip3-+ cosh-def
cube-mult unpow3 sum-log pow-prod-up
associate-/r*
pow-sqr frac-times
sqrt-unprod exp-sum div-inv associate-/l* rem-log-exp
rem-cube-cbrt +-commutative pow2
distribute-lft-out acos-asin cube-div
cbrt-undiv exp-diff rem-exp-log log-div
associate-/l/ cbrt-div pow1/3 sqrt-pow2 associate-+r+ associate-/r/ rem-cbrt-cube clear-num frac-2neg
pow-plus rem-square-sqrt div-sub

regimes2.3s (0.9%)

Accuracy

Total 11.5b remaining (5.2%)

Threshold costs 1.2b (0.5%)

8.5b10%Toniolo and Linder, Equation (13)
1.8b0%Random Jason Timeout Test 006
0.8b-61.2%Random Jason Timeout Test 004
0.4b0%Random Jason Timeout Test 012
0.0b0%Random Jason Timeout Test 002

localize979.0ms (0.4%)

bsearch167.0ms (0.1%)

end0.0ms (0.0%)