Date:Friday, March 6th, 2020
Commit:044801c1 on master
Hostname:warfa with Racket 7.5
Seed:2020066
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 (60.8%)

Algorithm
21×intervals
Results
36.4s37791×body10240exit
7.1s7380×body1280valid
5.6s3482×body2560valid
3.1s56462×body80valid
2.4s50212×body80nan
2.1s4620×body640valid
1.6s3047×body1280nan
736.0ms2609×body640nan
582.0ms2340×body320valid
228.0ms1316×body320nan
228.0ms1293×body160valid
116.0ms8356×pre80true
76.0ms634×body160nan
29.0ms24×body5120valid
13.0msbody5120nan
12.0ms19×body2560nan

series28.5s (26.8%)

Calls

91 calls:

4.8s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
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*)))))
4.7s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
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*))))))
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*)))))

prune6.9s (6.5%)

Filtered
2059 candidates to 1378 candidates (66.9%)

simplify3.4s (3.2%)

Algorithm
49×egg-herbie

regimes1.8s (1.7%)

Accuracy

Total 10.2b remaining (4.6%)

Threshold costs 1.2b (0.6%)

7.7b15.8%Toniolo and Linder, Equation (13)
1.2b0%Random Jason Timeout Test 006
0.3b0%Random Jason Timeout Test 012
0.2b0%Random Jason Timeout Test 002
0.2b0%Random Jason Timeout Test 014

rewrite462.0ms (0.4%)

Algorithm
31×rewrite-expression-head
Calls

91 calls:

18.0ms
(pow (sqrt (atan2 b b)) (- b a))
17.0ms
(* (* (* 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*))))
17.0ms
(* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))
16.0ms
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
14.0ms
(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
404×add-sqr-sqrt
358×*-un-lft-identity
324×add-cube-cbrt
277×add-exp-log
203×pow1
174×prod-diff
158×add-cbrt-cube
147×unpow-prod-down
145×exp-prod
111×prod-exp
96×add-log-exp
95×associate-*r*
94×associate-*r/
92×log1p-expm1-u
91×unpow-prod-up expm1-log1p-u
78×times-frac
73×distribute-rgt-in distribute-lft-in
68×log-pow
50×pow-prod-down
46×sqrt-prod
45×flip-- flip3-- log-prod
40×associate--l+ cbrt-prod
39×cbrt-unprod
38×pow-exp
37×pow-unpow
35×associate-*l*
32×frac-sub
30×sub-neg
24×sqr-pow sqrt-div sqrt-pow1
21×pow-to-exp
20×unswap-sqr
18×div-exp
17×difference-of-squares distribute-lft-out--
12×pow1/2
11×*-commutative
10×pow-pow
exp-sum rem-log-exp
cube-prod associate-/r*
rem-exp-log div-inv
sinh-def associate-/l* rem-sqrt-square sin-sum
pow1/3
expm1-udef
cbrt-undiv expm1-log1p cosh-def
associate-/l/ exp-diff cube-mult sqrt-pow2 unpow3 pow-sub acos-asin associate-/r/ clear-num frac-2neg e-exp-1 log-div
div-sub exp-to-pow rem-cbrt-cube sin-diff

localize442.0ms (0.4%)

bsearch189.0ms (0.2%)

end0.0ms (0.0%)