Date:Thursday, August 6th, 2020
Commit:83ea4c9e on refactor-reprify
Hostname:warfa with Racket 7.5
Seed:2020219
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

sample29.3s (44.0%)

Algorithm
26×intervals
Results
8.6s6314×body5120exit
6.7s13982×body1280valid
3.3s78328×body80valid
2.8s9237×body640valid
1.5s3559×body1280nan
1.1s4005×body320valid
837.0ms3032×body640nan
825.0ms24768×pre80true
287.0ms1535×body320nan
282.0ms1776×body160valid
187.0ms2006×body80invalid
91.0ms253×body640invalid
64.0ms132×body1280invalid
63.0ms550×body160nan
46.0ms188×body320invalid
30.0ms480×body80nan
18.0ms107×body160invalid
10.0ms127×body80overflowed
4.0msbody5120nan
1.0msbody2560nan

analyze22.7s (34.1%)

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

simplify5.1s (7.6%)

Algorithm
72×egg-herbie

prune3.2s (4.8%)

Filtered
3295 candidates to 2162 candidates (34.4%)

series2.6s (3.9%)

Calls

128 calls:

158.0ms
(/.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)))
138.0ms
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))
135.0ms
(+.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)))
127.0ms
(-.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))
124.0ms
(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))

regimes2.2s (3.3%)

Accuracy

Total 4.3b remaining (10.3%)

Threshold costs 3.0b (7.1%)

1.3b0%mixedcos
0.5b0%expfmod
0.4b0%sqrt C
0.4b0%sqrt D
0.4b0%sqrt E

rewrite1.0s (1.5%)

Algorithm
46×rewrite-expression-head
Calls

128 calls:

29.0ms
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))) (+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
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)))
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))
18.0ms
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))))
17.0ms
(sqrt.f64 (*.f64 2 (*.f64 x x)))
Rules
733×add-sqr-sqrt_binary64
612×add-exp-log_binary64
595×pow1_binary64
561×*-un-lft-identity_binary64
512×add-cube-cbrt_binary64
402×add-cbrt-cube_binary64
316×times-frac_binary64
288×associate-*r*_binary64
282×prod-exp_binary64
253×sqrt-pow1_binary64
235×associate-*l*_binary64
229×pow-prod-down_binary64
189×sqrt-prod_binary64
162×add-log-exp_binary64
152×cbrt-unprod_binary64
101×cbrt-prod_binary64
94×cbrt-div_binary64
89×unswap-sqr_binary64
84×associate-*r/_binary64
72×unpow-prod-down_binary64
61×associate-/r*_binary64 *-commutative_binary64
56×associate-*l/_binary64
55×associate-/l*_binary64 frac-times_binary64
54×pow1/2_binary64
51×sin-mult_binary64
48×cos-mult_binary64 div-exp_binary64
45×associate-/r/_binary64 neg-sub0_binary64 exp-diff_binary64 exp-neg_binary64
42×pow-to-exp_binary64 pow-exp_binary64 pow-prod-up_binary64
34×cbrt-undiv_binary64 sqrt-div_binary64
31×frac-sub_binary64
29×div-inv_binary64
28×swap-sqr_binary64 pow-sqr_binary64 tan-quot_binary64
23×flip3--_binary64 flip--_binary64
22×sqr-pow_binary64
20×difference-of-squares_binary64
19×flip3-+_binary64 flip-+_binary64
18×distribute-lft-out--_binary64
17×clear-num_binary64 pow1/3_binary64 frac-2neg_binary64 sub-div_binary64
16×associate-/l/_binary64
15×pow-unpow_binary64
12×exp-prod_binary64
11×sub-neg_binary64 diff-log_binary64
log-prod_binary64 log-pow_binary64
distribute-lft-out_binary64
sum-log_binary64
frac-add_binary64 pow-plus_binary64 pow-pow_binary64
unpow2_binary64 div-sub_binary64 rem-sqrt-square_binary64 pow2_binary64
+-commutative_binary64
associate-+r-_binary64 associate-+r+_binary64
sqrt-unprod_binary64 rem-log-exp_binary64 cos-2_binary64 tan-sum_binary64 rem-square-sqrt_binary64 cos-sum_binary64
rem-exp-log_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64

localize479.0ms (0.7%)

bsearch23.0ms (0.0%)

end0.0ms (0.0%)

Profiling

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