Date:Tuesday, July 28th, 2020
Commit:32b35f01 on refactor-reprify
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

sample28.7s (43.4%)

Algorithm
26×intervals
Results
8.6s6353×body5120exit
6.7s14001×body1280valid
3.0s78332×body80valid
2.7s9135×body640valid
1.6s3803×body1280nan
852.0ms4006×body320valid
831.0ms24768×pre80true
815.0ms3077×body640nan
279.0ms1854×body160valid
274.0ms1507×body320nan
164.0ms1972×body80invalid
91.0ms279×body640invalid
72.0ms155×body1280invalid
69.0ms588×body160nan
40.0ms177×body320invalid
30.0ms501×body80nan
17.0ms106×body160invalid
10.0ms159×body80overflowed
3.0msbody2560nan

analyze21.8s (33.0%)

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

simplify4.8s (7.3%)

Algorithm
72×egg-herbie

series3.5s (5.3%)

Calls

124 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))))
183.0ms
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))
182.0ms
(/.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)))
158.0ms
(+.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)))
149.0ms
(-.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))

prune3.3s (5.0%)

Filtered
3209 candidates to 2136 candidates (33.4%)

regimes2.5s (3.8%)

Accuracy

Total 3.7b remaining (5.6%)

Threshold costs 3.7b (5.6%)

0.9b0%mixedcos
0.4b0%sqrt C
0.4b0%sqrt D
0.4b0%sqrt E
0.3b0%rsin A

rewrite924.0ms (1.4%)

Algorithm
46×rewrite-expression-head
Calls

124 calls:

19.0ms
(-.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)))
16.0ms
(/.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)))
16.0ms
(sqrt.f64 (*.f64 2 (*.f64 x x)))
15.0ms
(*.f64 2 (pow.f64 x 2))
Rules
790×add-sqr-sqrt_binary64
663×*-un-lft-identity_binary64
614×add-cube-cbrt_binary64
535×add-exp-log_binary64
464×times-frac_binary64
394×add-cbrt-cube_binary64
355×pow1_binary64
334×sqrt-prod_binary64
286×associate-*r*_binary64
209×prod-exp_binary64
184×associate-*l*_binary64
160×add-log-exp_binary64
141×cbrt-unprod_binary64
138×unpow-prod-down_binary64
124×pow-prod-down_binary64
94×associate-/l*_binary64
78×associate-/r*_binary64
70×unswap-sqr_binary64
59×div-exp_binary64
56×*-commutative_binary64
54×cbrt-prod_binary64
50×pow-exp_binary64
44×exp-prod_binary64 log-pow_binary64
40×associate-/r/_binary64
39×cbrt-undiv_binary64
37×pow-unpow_binary64
36×pow-to-exp_binary64
34×sqr-pow_binary64
33×div-inv_binary64
32×sin-mult_binary64
26×cos-mult_binary64 tan-quot_binary64
25×flip3--_binary64 flip--_binary64
23×clear-num_binary64 frac-sub_binary64 frac-2neg_binary64
19×associate-*l/_binary64
18×distribute-lft-out--_binary64 sqrt-pow1_binary64
17×difference-of-squares_binary64
13×sub-div_binary64
12×associate-/l/_binary64
11×sub-neg_binary64 diff-log_binary64
10×associate-*r/_binary64
flip3-+_binary64 distribute-lft-out_binary64 pow1/2_binary64 sum-log_binary64 pow-pow_binary64 flip-+_binary64
log-prod_binary64
unpow2_binary64 pow1/3_binary64 div-sub_binary64 +-commutative_binary64
associate-+r-_binary64
sqrt-undiv_binary64 swap-sqr_binary64 frac-add_binary64 associate-+r+_binary64 rem-sqrt-square_binary64 frac-times_binary64
rem-log-exp_binary64 cos-2_binary64 tan-sum_binary64 cos-sum_binary64 sqrt-div_binary64
exp-to-pow_binary64 pow-plus_binary64 pow-sqr_binary64 pow-prod-up_binary64 pow2_binary64

localize464.0ms (0.7%)

bsearch27.0ms (0.0%)

end0.0ms (0.0%)

Profiling

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