Details

sample1.2m (63.7%)

Algorithm
21×intervals
Results
42.6s39760×body10240exit
7.6s7298×body1280valid
6.0s3444×body2560valid
4.8s58069×body80nan
4.6s56840×body80valid
2.4s4635×body640valid
680.0ms2236×body320valid
314.0ms8356×pre80true
247.0ms1170×body160valid
75.0ms35×body5120valid
21.0ms26×body2560nan
21.0msbody5120nan
10.0ms24×body1280nan
3.0ms12×body640nan
2.0ms10×body320nan
2.0ms12×body160nan

prune19.7s (17.1%)

series11.8s (10.2%)

Calls

90 calls:

2.2s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
2.2s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*)))))
2.2s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
2.2s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) (/ 2.0 2))) (* (pow (/ l Om) (/ 2.0 2)) (- U U*))))))
371.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))

regimes4.7s (4.1%)

Accuracy

Total 10.1b remaining (4.6%)

Threshold costs 0.4b (0.2%)

8.0b14.5%Toniolo and Linder, Equation (13)
1.7b0%Random Jason Timeout Test 006
0.4b0%Random Jason Timeout Test 012
0.0b0%Random Jason Timeout Test 004
0.0b0%Random Jason Timeout Test 002

simplify4.1s (3.6%)

Algorithm
47×egg-herbie

rewrite867.0ms (0.8%)

Algorithm
29×rewrite-expression-head
Calls

90 calls:

80.0ms
(* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))
60.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))))
55.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) (/ 2.0 2))) (* (pow (/ l Om) (/ 2.0 2)) (- U U*)))))
50.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
47.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
Rules
458×pow1
350×sqrt-pow1
349×add-sqr-sqrt
340×add-exp-log
263×*-un-lft-identity
252×log-pow
225×add-cube-cbrt
202×associate-*r*
186×add-cbrt-cube
178×pow1/2
147×prod-exp
113×pow-prod-down
100×associate-*r/
95×cbrt-prod
92×add-log-exp
90×pow-prod-up
76×unpow-prod-down
72×log-prod
69×times-frac
63×associate-*l*
56×cbrt-unprod
52×sqrt-prod
50×pow-sqr
49×flip-- flip3--
42×distribute-rgt-in distribute-lft-in
40×unswap-sqr
34×pow-exp
32×frac-sub
29×sub-neg
25×rem-log-exp
24×sqrt-div
22×*-commutative
20×difference-of-squares
19×distribute-lft-out-- pow-to-exp
18×div-exp
16×sqr-pow exp-prod associate--l+
10×pow-plus pow1/3 rem-sqrt-square pow2
cube-prod associate-/r*
associate-/l* div-inv
cbrt-undiv exp-sum
associate-/l/ sinh-def unpow3 cube-mult acos-asin asin-acos associate-/r/ clear-num frac-2neg
associate--r- div-sub rem-exp-log pow3 diff-log

localize439.0ms (0.4%)

bsearch195.0ms (0.2%)

end0.0ms (0.0%)