Date:Thursday, March 19th, 2020
Commit:2b8af9a1 on simpler-alts
Hostname:warfa with Racket 7.5
Seed:2020079
Parameters:256 points for 4 iterations
Flags:
setup:simplifyrules:numericsrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:complexrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifyreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionsprecision:doubleprecision:fallback
+o rules:numerics

Details

sample1.1m (61.8%)

Algorithm
21×intervals
Results
37.2s38539×body10240exit
7.0s7434×body1280valid
5.3s3350×body2560valid
3.1s56589×body80valid
2.4s50430×body80nan
2.2s4791×body640valid
1.6s3030×body1280nan
759.0ms2648×body640nan
555.0ms2245×body320valid
238.0ms1343×body320nan
219.0ms1215×body160valid
111.0ms8356×pre80true
76.0ms653×body160nan
40.0ms26×body5120valid
15.0ms27×body2560nan
11.0msbody5120nan

series27.7s (26.2%)

Calls

88 calls:

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

prune6.8s (6.4%)

Filtered
2316 candidates to 1463 candidates (63.2%)

simplify3.0s (2.9%)

Algorithm
47×egg-herbie

regimes1.8s (1.7%)

Accuracy

Total 10.2b remaining (4.6%)

Threshold costs 0.4b (0.2%)

7.7b14.5%Toniolo and Linder, Equation (13)
2.1b0%Random Jason Timeout Test 006
0.3b0%Random Jason Timeout Test 012
0.0b0%Random Jason Timeout Test 003
0.0b0%Random Jason Timeout Test 015

rewrite518.0ms (0.5%)

Algorithm
29×rewrite-expression-head
Calls

88 calls:

22.0ms
(* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (pow (sqrt (sqrt (atan2 b b))) (- b a)))
21.0ms
(* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (pow (sqrt (sqrt (atan2 b b))) (- b a)))
21.0ms
(* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))
17.0ms
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
15.0ms
(* (* n (pow (/ l Om) 2.0)) (- U U*))
Rules
622×add-sqr-sqrt
464×*-un-lft-identity
424×add-cube-cbrt
337×unpow-prod-down
312×add-exp-log
300×prod-diff
231×unpow-prod-up
208×pow1
184×sqrt-prod
162×add-cbrt-cube
143×associate-*r*
136×prod-exp
106×distribute-rgt-in distribute-lft-in
98×associate-*r/
93×associate-*l*
89×log1p-expm1-u add-log-exp
88×expm1-log1p-u
83×cbrt-prod
76×swap-sqr
74×unswap-sqr
68×times-frac
60×pow-exp
57×pow-prod-down
53×sqr-pow
48×sub-neg
46×flip-- flip3--
45×cbrt-unprod
40×associate--l+ pow-to-exp
38×pow-unpow
32×frac-sub
24×sqrt-div sqrt-pow1
20×difference-of-squares distribute-lft-out--
18×log-prod div-exp
17×pow1/3
15×*-commutative pow-pow log-pow
12×pow1/2 pow-sub
11×exp-prod
associate-/r*
associate-/l* pow-sqr rem-sqrt-square pow-prod-up div-inv
expm1-udef pow2 rem-log-exp
cbrt-undiv exp-sum sin-diff
associate-/l/ pow-plus associate-*l/ sqrt-pow2 acos-asin associate-/r/ clear-num frac-2neg frac-times sinh-def
expm1-log1p div-sub e-exp-1 rem-exp-log exp-to-pow cosh-def

localize422.0ms (0.4%)

bsearch100.0ms (0.1%)

end0.0ms (0.0%)