Details

sample1.0m (58.8%)

Algorithm
21×intervals
Results
34.9s38217×body10240exit
7.0s7477×body1280valid
5.4s3457×body2560valid
2.8s56469×body80valid
2.7s57068×body80nan
2.0s4665×body640valid
540.0ms2247×body320valid
198.0ms1196×body160valid
107.0ms8356×pre80true
60.0ms31×body5120valid
30.0ms14×body5120nan
17.0ms27×body2560nan
6.0ms22×body1280nan
2.0msbody640nan
1.0msbody320nan
1.0msbody160nan

series28.5s (27.1%)

Calls

98 calls:

4.7s
(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*))))))
4.6s
(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*)))))
4.6s
(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*))))))
4.6s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
1.3s
(* (* (* 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*)))))

prune7.5s (7.1%)

simplify3.4s (3.2%)

Algorithm
47×egg-herbie

rewrite1.9s (1.8%)

Algorithm
29×rewrite-expression-head
Calls

98 calls:

193.0ms
(* (* (* 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*))))
172.0ms
(* (* (* 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*)))))
169.0ms
(* (* (* 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*)))))
148.0ms
(* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))
144.0ms
(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*)))))
Rules
430×add-sqr-sqrt
341×*-un-lft-identity
303×add-cube-cbrt
284×add-exp-log
247×pow1
169×add-cbrt-cube
138×prod-diff
115×sqrt-prod
114×prod-exp
113×associate-*r*
105×unpow-prod-down
102×associate-*r/
101×expm1-log1p-u
99×log1p-expm1-u
98×add-log-exp
78×times-frac
73×distribute-rgt-in distribute-lft-in
59×sqrt-pow1
58×pow-prod-down
53×associate-*l*
45×flip-- flip3--
44×unpow-prod-up
43×pow1/2
42×cbrt-unprod
40×associate--l+
34×pow-exp
32×frac-sub unswap-sqr
26×sub-neg
24×sqrt-div
22×swap-sqr
20×pow-unpow
19×difference-of-squares distribute-lft-out-- pow-to-exp
18×div-exp
17×rem-sqrt-square log-pow
16×cbrt-prod pow-pow
15×log-prod
14×*-commutative sqr-pow
12×exp-prod pow-prod-up
10×expm1-udef
expm1-log1p pow-sqr associate-/r*
div-inv
associate-/l* pow1/3
rem-log-exp
sinh-def sqrt-pow2 acos-asin pow-sub
cbrt-undiv pow-plus log1p-udef log1p-expm1 pow2
associate-/l/ rem-square-sqrt sqrt-unprod associate-/r/ clear-num sin-diff frac-2neg cosh-def
exp-diff div-sub log-div

regimes1.4s (1.4%)

Accuracy

Total 10.9b remaining (5%)

Threshold costs 0.4b (0.2%)

7.3b23.7%Toniolo and Linder, Equation (13)
1.6b0%Random Jason Timeout Test 006
1.6b0%Random Jason Timeout Test 004
0.4b0%Random Jason Timeout Test 012
0.0b0%Random Jason Timeout Test 003

localize448.0ms (0.4%)

bsearch216.0ms (0.2%)

end0.0ms (0.0%)