Date:Wednesday, April 1st, 2020
Commit:71d48594 on master
Hostname:warfa with Racket 7.5
Seed:2020092
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 (60.4%)

Algorithm
21×intervals
Results
37.1s38810×body10240exit
6.8s7268×body1280valid
5.4s3397×body2560valid
3.1s56645×body80valid
2.5s51085×body80nan
2.0s4647×body640valid
1.5s2961×body1280nan
705.0ms2577×body640nan
604.0ms2415×body320valid
228.0ms1336×body320nan
212.0ms1205×body160valid
112.0ms8356×pre80true
85.0ms705×body160nan
37.0ms22×body5120valid
12.0ms21×body2560nan
8.0msbody5120nan

series30.2s (28.1%)

Calls

85 calls:

4.9s
(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*)))))
4.9s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
4.8s
(sqrt (* (* 2.0 n) (* U (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))))
4.8s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
1.4s
(* (* 2.0 n) (* U (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))

prune6.5s (6.0%)

Filtered
2694 candidates to 1479 candidates (54.9%)

simplify2.9s (2.7%)

Algorithm
45×egg-herbie

regimes1.9s (1.7%)

Accuracy

Total 11.8b remaining (5.4%)

Threshold costs 0.5b (0.2%)

9.8b20.6%Toniolo and Linder, Equation (13)
1.5b0%Random Jason Timeout Test 006
0.5b0%Random Jason Timeout Test 012
0.0b0%Random Jason Timeout Test 004
0.0b0%Random Jason Timeout Test 003

rewrite574.0ms (0.5%)

Algorithm
27×rewrite-expression-head
Calls

85 calls:

23.0ms
(* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (pow (sqrt (sqrt (atan2 b b))) (- b a)))
23.0ms
(* (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*))
17.0ms
(sqrt (* (* 2.0 n) (* U (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))))
16.0ms
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
Rules
742×add-sqr-sqrt
604×*-un-lft-identity
564×add-cube-cbrt
493×unpow-prod-down
456×prod-diff
407×unpow-prod-up
337×sqrt-prod
320×add-exp-log
246×distribute-rgt-in distribute-lft-in
229×cbrt-prod
227×pow1
168×add-cbrt-cube
148×cube-prod
141×prod-exp
129×associate-*r*
102×associate-*r/
86×log1p-expm1-u
85×add-log-exp expm1-log1p-u
71×sqrt-pow1
68×sub-neg
65×associate-*l*
64×swap-sqr
63×pow-exp
62×unswap-sqr
58×sqr-pow pow-prod-down times-frac
54×pow-unpow
50×associate--l+
47×cbrt-unprod
46×flip-- flip3--
42×pow-to-exp
41×pow-pow
39×log-prod
33×log-pow
32×frac-sub pow1/2
24×sqrt-div
20×difference-of-squares distribute-lft-out--
18×div-exp
16×exp-prod
13×*-commutative
12×pow-sub
11×pow1/3
10×rem-sqrt-square
sqrt-pow2 associate-/r*
rem-log-exp
associate-/l* cube-mult unpow3
div-inv
cbrt-undiv rem-cube-cbrt exp-sum
associate-/l/ pow-sqr e-exp-1 acos-asin associate-/r/ rem-cbrt-cube pow-prod-up clear-num frac-2neg frac-times pow2 associate-*l/ sinh-def
expm1-log1p expm1-udef div-sub rem-exp-log

localize361.0ms (0.3%)

bsearch221.0ms (0.2%)

end0.0ms (0.0%)