Date:Sunday, March 15th, 2020
Commit:1a959946 on master
Hostname:warfa with Racket 7.5
Seed:2020075
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 (60.1%)

Algorithm
21×intervals
Results
37.6s39097×body10240exit
6.9s7229×body1280valid
5.4s3442×body2560valid
3.1s56691×body80valid
2.4s50973×body80nan
2.1s4727×body640valid
1.6s3110×body1280nan
736.0ms2684×body640nan
572.0ms2282×body320valid
219.0ms1283×body320nan
211.0ms1216×body160valid
119.0ms8356×pre80true
77.0ms658×body160nan
52.0ms30×body5120valid
21.0ms10×body5120nan
11.0ms19×body2560nan

series28.4s (25.9%)

Calls

100 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*)))))
4.7s
(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 l) Om))) (* (* n (pow (/ l Om) 2.0)) (- 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*))))))
1.3s
(* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))

prune8.4s (7.7%)

Filtered
2431 candidates to 1566 candidates (64.4%)

simplify3.6s (3.3%)

Algorithm
49×egg-herbie

regimes2.2s (2.0%)

Accuracy

Total 11.8b remaining (5.4%)

Threshold costs 0.5b (0.2%)

7.3b17.9%Toniolo and Linder, Equation (13)
2.1b0%Random Jason Timeout Test 004
1.9b0%Random Jason Timeout Test 006
0.4b0%Random Jason Timeout Test 012
0.0b0%Random Jason Timeout Test 003

rewrite499.0ms (0.5%)

Algorithm
31×rewrite-expression-head
Calls

100 calls:

23.0ms
(* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (pow (sqrt (sqrt (atan2 b b))) (- b a)))
22.0ms
(* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (pow (sqrt (sqrt (atan2 b b))) (- b a)))
18.0ms
(* (* n (pow (/ l Om) (/ 2.0 2))) (* (pow (/ l Om) (/ 2.0 2)) (- U U*)))
18.0ms
(* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))
17.0ms
(* (* (* 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*)))))
Rules
585×add-sqr-sqrt
434×*-un-lft-identity
402×add-cube-cbrt
386×add-exp-log
261×unpow-prod-down
246×prod-diff
229×sqrt-prod
210×pow1
190×prod-exp
183×add-cbrt-cube
162×unpow-prod-up
139×associate-*r*
117×distribute-rgt-in distribute-lft-in
104×cbrt-prod
102×add-log-exp
101×log1p-expm1-u expm1-log1p-u
98×associate-*r/
68×times-frac
67×associate-*l*
66×unswap-sqr
65×pow-exp
64×swap-sqr
53×pow-prod-down
48×cbrt-unprod
45×flip-- flip3-- sqr-pow
42×sub-neg
41×pow-to-exp
40×associate--l+
33×sqrt-pow1
32×frac-sub
27×div-exp
24×exp-prod sqrt-div log-pow
21×pow1/2
18×log-prod
17×pow-unpow
16×pow1/3 difference-of-squares distribute-lft-out--
15×rem-sqrt-square
13×*-commutative
12×cube-prod pow-sub
pow-pow
sinh-def associate-/r*
expm1-udef div-inv associate-/l* rem-log-exp
sin-diff
cbrt-div cube-div cube-mult unpow3 acos-asin
cbrt-undiv
associate-/l/ rem-exp-log rem-cube-cbrt pow-sqr sqrt-pow2 fma-udef pow2 associate-/r/ rem-cbrt-cube pow-prod-up clear-num frac-2neg frac-times associate-*l/
exp-diff log-div expm1-log1p div-sub log1p-udef log1p-expm1

localize468.0ms (0.4%)

bsearch253.0ms (0.2%)

end0.0ms (0.0%)