Date:Tuesday, July 28th, 2020
Commit:4ba6b6e4 on master
Hostname:warfa with Racket 7.5
Seed:2020210
Parameters:256 points for 4 iterations
Flags:
setup:simplifysetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifyreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionsprecision:doubleprecision:fallback
default

Details

sample29.5s (42.5%)

Algorithm
26×intervals
Results
8.6s6353×body5120exit
6.8s14001×body1280valid
3.1s78332×body80valid
3.0s9135×body640valid
1.9s3803×body1280nan
877.0ms4006×body320valid
871.0ms3077×body640nan
828.0ms24768×pre80true
302.0ms1854×body160valid
281.0ms1507×body320nan
169.0ms1972×body80invalid
89.0ms279×body640invalid
71.0ms155×body1280invalid
70.0ms588×body160nan
41.0ms177×body320invalid
38.0ms501×body80nan
17.0ms106×body160invalid
11.0ms159×body80overflowed
3.0msbody2560nan

analyze21.8s (31.5%)

Algorithm
13×search
Search
TrueOtherFalseIter
0%76.9%23.1%0
0%76.9%23.1%1
0%76.9%23.1%2
25%51.9%23.1%3
34.6%42.3%23.1%4
39.9%37%23.1%5
42.3%33.9%23.8%6
45.6%30.4%24%7
47.2%28.4%24.4%8
49%26.5%24.5%9
50.8%24.3%24.9%10
51.4%23.5%25.1%11
52.1%22.5%25.4%12
52.8%21.6%25.6%13
53%21%25.9%14

series5.1s (7.3%)

Calls

123 calls:

330.0ms
(+.f64 x (/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (cos.f64 a)) (*.f64 (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))) (sin.f64 a))) (*.f64 (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))) (cos.f64 a))))
177.0ms
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (cos.f64 a)) (*.f64 (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))) (sin.f64 a))) (*.f64 (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))) (cos.f64 a)))
155.0ms
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (/.f64 (*.f64 (tan.f64 y) (sin.f64 z)) (cos.f64 z)))) (tan.f64 a)))
154.0ms
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))
147.0ms
(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (/.f64 (*.f64 (tan.f64 y) (sin.f64 z)) (cos.f64 z)))) (tan.f64 a))

simplify4.9s (7.1%)

Algorithm
72×egg-herbie

prune3.5s (5.1%)

Filtered
3891 candidates to 2177 candidates (44.1%)

regimes2.9s (4.1%)

Accuracy

Total 2.8b remaining (3%)

Threshold costs 2.8b (3%)

0.4b0%sqrt C
0.3b0%rsin A
0.3b0%rsin B
0.3b99.1%sqrt A
0.3b99.1%sqrt B

rewrite1.1s (1.6%)

Algorithm
46×rewrite-expression-head
Calls

123 calls:

27.0ms
(/.f64 (cos.f64 (*.f64 2.0 x)) (*.f64 (*.f64 (*.f64 x (pow.f64 s (/.f64 2.0 2))) (pow.f64 c (/.f64 2.0 2))) (*.f64 (*.f64 x (pow.f64 s (/.f64 2.0 2))) (pow.f64 c (/.f64 2.0 2)))))
21.0ms
(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (/.f64 (*.f64 (tan.f64 y) (sin.f64 z)) (cos.f64 z)))) (tan.f64 a))
19.0ms
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (/.f64 (*.f64 (tan.f64 y) (sin.f64 z)) (cos.f64 z)))) (tan.f64 a)))
17.0ms
(*.f64 (*.f64 (*.f64 x (pow.f64 s (/.f64 2.0 2))) (pow.f64 c (/.f64 2.0 2))) (*.f64 (*.f64 x (pow.f64 s (/.f64 2.0 2))) (pow.f64 c (/.f64 2.0 2))))
16.0ms
(/.f64 (cos.f64 (*.f64 2.0 x)) (*.f64 (pow.f64 c 2.0) (*.f64 (*.f64 x (pow.f64 s (/.f64 2.0 2))) (*.f64 x (pow.f64 s (/.f64 2.0 2))))))
Rules
3123×add-exp-log_binary64
2496×prod-exp_binary64
841×add-sqr-sqrt_binary64
676×pow-exp_binary64
630×pow-to-exp_binary64
614×*-un-lft-identity_binary64
565×add-cube-cbrt_binary64
538×add-cbrt-cube_binary64
365×times-frac_binary64
349×sqrt-prod_binary64
331×associate-*r*_binary64
315×div-exp_binary64
290×pow1_binary64 unpow-prod-down_binary64
242×cbrt-unprod_binary64
209×associate-*l*_binary64
159×add-log-exp_binary64
141×unswap-sqr_binary64
90×sqr-pow_binary64
82×pow-prod-down_binary64
81×associate-/l*_binary64
76×cbrt-prod_binary64
67×associate-/r*_binary64
57×*-commutative_binary64
53×cbrt-undiv_binary64
44×exp-prod_binary64 log-pow_binary64
40×associate-/r/_binary64
37×pow-unpow_binary64
32×sin-mult_binary64
28×div-inv_binary64
26×cos-mult_binary64 tan-quot_binary64
25×flip3--_binary64 flip--_binary64
23×frac-sub_binary64
22×clear-num_binary64 frac-2neg_binary64
19×associate-*l/_binary64
18×distribute-lft-out--_binary64
17×difference-of-squares_binary64
15×sqrt-pow1_binary64
13×sub-div_binary64
11×associate-/l/_binary64 sub-neg_binary64 diff-log_binary64
10×associate-*r/_binary64
flip3-+_binary64 distribute-lft-out_binary64 sum-log_binary64 pow-pow_binary64 flip-+_binary64
pow1/2_binary64
log-prod_binary64
pow1/3_binary64 +-commutative_binary64
associate-+r-_binary64
sqrt-undiv_binary64 frac-add_binary64 associate-+r+_binary64 div-sub_binary64 frac-times_binary64
swap-sqr_binary64 rem-log-exp_binary64 tan-sum_binary64 pow-plus_binary64 rem-sqrt-square_binary64 pow-sqr_binary64 pow-prod-up_binary64 cos-sum_binary64 pow2_binary64 sqrt-div_binary64
exp-to-pow_binary64

localize480.0ms (0.7%)

bsearch64.0ms (0.1%)

end0.0ms (0.0%)

Profiling

Loading profile data...