Details

sample1.1m (62.5%)

Algorithm
21×intervals
Results
35.4s35137×body10240exit
7.2s7313×body1280valid
5.5s3408×body2560valid
3.3s57398×body80nan
3.2s56512×body80valid
2.2s4726×body640valid
610.0ms2297×body320valid
220.0ms1229×body160valid
195.0ms3740×body80overflowed
122.0ms8356×pre80true
41.0ms23×body5120valid
19.0msbody5120nan
18.0ms28×body2560nan
7.0ms18×body1280nan
3.0ms16×body640nan
2.0ms11×body320nan
1.0msbody160nan

series26.0s (25.5%)

Calls

78 calls:

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*)))))
4.5s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
4.4s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
4.4s
(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*))))))
1.2s
(* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))

prune5.0s (4.9%)

simplify3.5s (3.5%)

Algorithm
45×egg-herbie

rewrite1.6s (1.6%)

Algorithm
27×rewrite-expression-head
Calls

78 calls:

173.0ms
(* (* (* 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*))))
158.0ms
(* (* (* 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*)))))
138.0ms
(* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))
121.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
120.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
Rules
289×add-sqr-sqrt
287×add-exp-log
224×*-un-lft-identity
190×add-cube-cbrt
183×pow1
159×add-cbrt-cube
128×prod-exp
121×associate-*r*
102×unpow-prod-down
96×associate-*r/
80×add-log-exp
69×times-frac
51×pow-prod-down
47×flip-- flip3--
45×cbrt-unprod associate-*l*
41×pow-exp cbrt-prod
32×frac-sub
30×pow-unpow unswap-sqr
28×cube-prod
25×sub-neg
24×distribute-rgt-in sqr-pow sqrt-div distribute-lft-in pow-to-exp log-prod
22×sqrt-prod sqrt-pow1
21×log-pow
18×difference-of-squares div-exp
17×distribute-lft-out--
16×associate--l+
15×*-commutative
13×exp-prod
10×pow1/2
cube-mult unpow3 associate-/r*
rem-sqrt-square div-inv associate-/l* rem-log-exp
pow-pow
cbrt-undiv rem-cube-cbrt pow1/3 unpow-prod-up exp-sum
associate-/l/ sinh-def e-exp-1 acos-asin asin-acos associate-/r/ rem-cbrt-cube clear-num frac-2neg
diff-log div-sub rem-exp-log associate--r-

regimes1.5s (1.5%)

Accuracy

Total 8.8b remaining (4%)

Threshold costs 1.3b (0.6%)

7.6b21.4%Toniolo and Linder, Equation (13)
0.8b0%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 003

localize427.0ms (0.4%)

bsearch180.0ms (0.2%)

end0.0ms (0.0%)