Date:Thursday, July 23rd, 2020
Commit:c653a889 on reprify
Hostname:warfa with Racket 7.5
Seed:2020205
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

sample1.8min (50.1%)

Algorithm
99×intervals
Results
48.9s7941×body5120exit
21.7s360042×body80valid
7.6s15927×body1280valid
5.4s11309×body1280invalid
3.3s12507×body640valid
2.6s8592×body640invalid
1.4s86866×pre80true
1.4s7441×body160valid
1.1s6649×body320valid
926.0ms18170×body80invalid
866.0ms4121×body320invalid
399.0ms1452×body2560valid
262.0ms1857×body160invalid
214.0ms2461×body80nan
178.0ms526×body5120valid
60.0ms35×body2560invalid
1.0ms15×body80overflowed

prune42.8s (20.3%)

Filtered
15393 candidates to 10296 candidates (33.1%)

series15.8s (7.5%)

Calls

460 calls:

608.0ms
(*.f64 (/.f64 (/.f64 (*.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (*.f64 i 2.0))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2.0)) (sqrt.f64 1.0))) (/.f64 (/.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2.0))) (-.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2.0)) (sqrt.f64 1.0))))
503.0ms
(log.f64 (-.f64 1.0 (*.f64 (/.f64 1.0 (+.f64 1.0 (*.f64 0.3275911 (fabs.f64 x)))) (/.f64 (+.f64 0.254829592 (*.f64 (/.f64 1.0 (+.f64 1.0 (*.f64 0.3275911 (fabs.f64 x)))) (+.f64 -0.284496736 (*.f64 (/.f64 1.0 (+.f64 1.0 (*.f64 0.3275911 (fabs.f64 x)))) (+.f64 1.421413741 (*.f64 (/.f64 1.0 (+.f64 1.0 (*.f64 0.3275911 (fabs.f64 x)))) (+.f64 -1.453152027 (*.f64 (/.f64 1.0 (+.f64 1.0 (*.f64 0.3275911 (fabs.f64 x)))) 1.061405429)))))))) (exp.f64 (pow.f64 (fabs.f64 x) 2))))))
467.0ms
(/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2.0 i)) (+.f64 (+.f64 alpha beta) (*.f64 2.0 i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2.0 i)) (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))) 1.0))
297.0ms
(exp.f64 (log.f64 (-.f64 1.0 (*.f64 (/.f64 1.0 (+.f64 1.0 (*.f64 0.3275911 (fabs.f64 x)))) (/.f64 (+.f64 0.254829592 (*.f64 (/.f64 1.0 (+.f64 1.0 (*.f64 0.3275911 (fabs.f64 x)))) (+.f64 -0.284496736 (*.f64 (/.f64 1.0 (+.f64 1.0 (*.f64 0.3275911 (fabs.f64 x)))) (+.f64 1.421413741 (*.f64 (/.f64 1.0 (+.f64 1.0 (*.f64 0.3275911 (fabs.f64 x)))) (+.f64 -1.453152027 (*.f64 (/.f64 1.0 (+.f64 1.0 (*.f64 0.3275911 (fabs.f64 x)))) 1.061405429)))))))) (exp.f64 (pow.f64 (fabs.f64 x) 2)))))))
296.0ms
(log.f64 (exp.f64 (-.f64 1.0 (*.f64 (/.f64 1.0 (+.f64 1.0 (*.f64 0.3275911 (fabs.f64 x)))) (/.f64 (+.f64 0.254829592 (*.f64 (/.f64 1.0 (+.f64 1.0 (*.f64 0.3275911 (fabs.f64 x)))) (+.f64 -0.284496736 (*.f64 (/.f64 1.0 (+.f64 1.0 (*.f64 0.3275911 (fabs.f64 x)))) (+.f64 1.421413741 (log.f64 (exp.f64 (*.f64 (/.f64 1.0 (+.f64 1.0 (*.f64 0.3275911 (fabs.f64 x)))) (+.f64 -1.453152027 (*.f64 (/.f64 1.0 (+.f64 1.0 (*.f64 0.3275911 (fabs.f64 x)))) 1.061405429)))))))))) (exp.f64 (pow.f64 (fabs.f64 x) 2)))))))

simplify13.8s (6.5%)

Algorithm
254×egg-herbie

analyze13.1s (6.2%)

Algorithm
50×search
Search
TrueOtherFalseIter
0%87.1%12.9%0
2.5%84.6%12.9%1
9.3%75.6%15.1%2
22.1%62.3%15.6%3
27.1%55.4%17.4%4
36.3%45.6%18.1%5
39.7%40.6%19.7%6
44.2%33.4%22.4%7
47.6%29.3%23.1%8
50.7%25.2%24.1%9
53.2%21.6%25.2%10
55.3%18.7%26%11
57.2%16.3%26.5%12
59.1%13.6%27.4%13
60.1%12.2%27.7%14

regimes9.9s (4.7%)

Accuracy

Total 109.5b remaining (42.3%)

Threshold costs 4.6b (1.8%)

14.0b47.7%math.sqrt on complex, real part
12.2b25.6%Octave 3.8, jcobi/4
11.2b54.1%math.log/2 on complex, real part
10.7b54.2%math.abs on complex
10.5b57.7%math.log10 on complex, real part

rewrite6.1s (2.9%)

Algorithm
156×rewrite-expression-head
Calls

460 calls:

149.0ms
(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (-.f64 2.0 z) (+.f64 (pow.f64 0.9999999999998099 3) (pow.f64 (/.f64 676.5203681218851 (-.f64 1.0 z)) 3))) (*.f64 -1259.1392167224028 (+.f64 (*.f64 0.9999999999998099 0.9999999999998099) (*.f64 (/.f64 676.5203681218851 (-.f64 1.0 z)) (-.f64 (/.f64 676.5203681218851 (-.f64 1.0 z)) 0.9999999999998099))))) (-.f64 3.0 z)) (*.f64 (+.f64 (*.f64 0.9999999999998099 0.9999999999998099) (*.f64 (/.f64 676.5203681218851 (-.f64 1.0 z)) (-.f64 (/.f64 676.5203681218851 (-.f64 1.0 z)) 0.9999999999998099))) (*.f64 (-.f64 2.0 z) 771.3234287776531))) (*.f64 (+.f64 (*.f64 0.9999999999998099 0.9999999999998099) (*.f64 (/.f64 676.5203681218851 (-.f64 1.0 z)) (-.f64 (/.f64 676.5203681218851 (-.f64 1.0 z)) 0.9999999999998099))) (*.f64 (-.f64 2.0 z) (-.f64 3.0 z)))) (/.f64 -176.6150291621406 (-.f64 4.0 z))) (/.f64 12.507343278686905 (-.f64 5.0 z))) (/.f64 -0.13857109526572012 (-.f64 6.0 z))) (/.f64 9.984369578019572e-06 (-.f64 7.0 z))) (/.f64 1.5056327351493116e-07 (-.f64 8.0 z))) (exp.f64 (+.f64 (-.f64 7.0 z) 0.5)))
120.0ms
(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 0.9999999999998099 (/.f64 676.5203681218851 (-.f64 1.0 z))) (/.f64 -1259.1392167224028 (-.f64 2.0 z))) (/.f64 771.3234287776531 (-.f64 3.0 z))) (/.f64 -176.6150291621406 (-.f64 4.0 z))) (/.f64 12.507343278686905 (-.f64 5.0 z))) (/.f64 -0.13857109526572012 (-.f64 6.0 z))) (/.f64 9.984369578019572e-06 (-.f64 7.0 z))) (/.f64 1.5056327351493116e-07 (-.f64 8.0 z))) (exp.f64 (+.f64 (-.f64 7.0 z) 0.5)))
117.0ms
(log.f64 (exp.f64 (/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -1259.1392167224028 (-.f64 2.0 z)) (+.f64 0.9999999999998099 (/.f64 676.5203681218851 (-.f64 1.0 z)))) (/.f64 771.3234287776531 (-.f64 3.0 z))) (/.f64 -176.6150291621406 (-.f64 4.0 z))) (/.f64 12.507343278686905 (-.f64 5.0 z))) (/.f64 -0.13857109526572012 (-.f64 6.0 z))) (/.f64 9.984369578019572e-06 (-.f64 7.0 z))) (/.f64 1.5056327351493116e-07 (-.f64 8.0 z))) (exp.f64 (+.f64 (-.f64 7.0 z) 0.5)))))
104.0ms
(*.f64 (/.f64 (/.f64 (*.f64 i (+.f64 i (+.f64 alpha beta))) (+.f64 (+.f64 alpha beta) (*.f64 i 2.0))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2.0)) (sqrt.f64 1.0))) (/.f64 (/.f64 (+.f64 (*.f64 alpha beta) (*.f64 i (+.f64 i (+.f64 alpha beta)))) (+.f64 (+.f64 alpha beta) (*.f64 i 2.0))) (-.f64 (+.f64 (+.f64 alpha beta) (*.f64 i 2.0)) (sqrt.f64 1.0))))
88.0ms
(*.f64 (+.f64 alpha beta) (/.f64 1 (/.f64 (+.f64 2.0 (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (*.f64 2.0 i))))))
Rules
6300×*-un-lft-identity_binary64
6293×times-frac_binary64
5428×add-sqr-sqrt_binary64
3948×add-cube-cbrt_binary64
1920×add-exp-log_binary64
1499×add-cbrt-cube_binary64
1450×associate-*r*_binary64
1405×pow1_binary64
1392×sqrt-prod_binary64
1097×distribute-lft-out_binary64
1033×associate-*r/_binary64
912×associate-*l*_binary64
879×flip3-+_binary64 flip-+_binary64
669×sqrt-div_binary64
667×add-log-exp_binary64
560×prod-exp_binary64
505×frac-add_binary64
487×associate-/l*_binary64
482×associate-/r*_binary64
468×frac-times_binary64
457×associate-/r/_binary64
425×unpow-prod-down_binary64
415×cbrt-unprod_binary64
409×cbrt-prod_binary64
398×div-exp_binary64
330×difference-of-squares_binary64
322×pow-prod-down_binary64
310×unswap-sqr_binary64
277×div-inv_binary64
263×log-pow_binary64
257×cbrt-undiv_binary64
253×distribute-lft-out--_binary64
188×sqrt-pow1_binary64
187×associate-*l/_binary64
177×cbrt-div_binary64
143×swap-sqr_binary64
139×*-commutative_binary64
137×associate-/l/_binary64
133×pow1/2_binary64
132×flip3--_binary64 flip--_binary64
130×sqr-pow_binary64
122×exp-prod_binary64
102×pow1/3_binary64 cube-prod_binary64
92×log-prod_binary64
87×pow-exp_binary64
85×clear-num_binary64 sum-log_binary64 frac-2neg_binary64
71×pow-unpow_binary64
63×rem-sqrt-square_binary64
61×distribute-rgt-in_binary64 distribute-lft-in_binary64
56×pow-prod-up_binary64
54×exp-sum_binary64
53×pow-to-exp_binary64
50×+-commutative_binary64
46×rec-exp_binary64 1-exp_binary64
45×pow-pow_binary64
44×sub-neg_binary64 pow-sqr_binary64
28×log-div_binary64
27×diff-log_binary64 unpow3_binary64 cube-mult_binary64
23×associate-+r+_binary64 div-sub_binary64
20×rem-log-exp_binary64
19×cube-div_binary64 pow-plus_binary64 pow2_binary64
14×exp-diff_binary64
13×un-div-inv_binary64
associate-+l+_binary64
pow-sub_binary64
associate-+l-_binary64 associate--r+_binary64
rem-exp-log_binary64 sin-sum_binary64
rem-cbrt-cube_binary64 pow-flip_binary64 inv-pow_binary64
sqrt-unprod_binary64 exp-to-pow_binary64 rem-cube-cbrt_binary64 rem-square-sqrt_binary64
unpow2_binary64 associate--l+_binary64
associate-+r-_binary64 frac-sub_binary64 exp-neg_binary64
sqrt-undiv_binary64 neg-sub0_binary64 unpow-prod-up_binary64 associate--r-_binary64 distribute-rgt-out--_binary64 cos-sum_binary64

localize2.5s (1.2%)

bsearch860.0ms (0.4%)

end1.0ms (0.0%)

Profiling

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