Date:Friday, August 7th, 2020
Commit:ae72a3a6 on plugins
Hostname:warfa with Racket 7.5
Seed:2020220
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 (57.3%)

Algorithm
78×intervals
Results
44.4s43849×body1280valid
14.4s30050×body640valid
10.3s1462×body5120exit
8.4s173940×body80valid
6.2s27344×body320valid
4.3s36052×body160valid
2.7s107271×pre80true
2.2s829×body1280overflowed
1.4s7203×body80overflowed
1.0s3087×body2560valid
1.0s696×body640overflowed
608.0ms3093×body2560nan
521.0ms9578×body80nan
415.0ms2572×body1280nan
349.0ms5271×body80invalid
326.0ms389×body320overflowed
215.0ms306×body1280invalid
214.0ms452×body640invalid
174.0ms1353×body640nan
93.0ms195×body160overflowed
75.0ms229×body320invalid
67.0ms173×body5120valid
61.0ms626×body320nan
28.0ms106×body160invalid
22.0ms329×body160nan
2.0ms106×pre80false

analyze30.7s (16.3%)

Algorithm
39×search
Search
TrueOtherFalseIter
0%71.2%28.8%0
2.6%68.7%28.8%1
6.7%64.5%28.8%2
15.3%53.4%31.4%3
21.5%44.1%34.4%4
26.5%37.3%36.2%5
28.4%33.3%38.3%6
30.1%30.3%39.5%7
31%28.8%40.3%8
33%25.9%41.1%9
33.4%24.9%41.6%10
34.2%23.8%42%11
35%22.5%42.5%12
36%21.3%42.7%13
36.3%20.8%43%14

simplify14.3s (7.6%)

Algorithm
217×egg-herbie

prune11.3s (6.0%)

Filtered
13703 candidates to 8924 candidates (34.9%)

regimes8.8s (4.7%)

Accuracy

Total 32.6b remaining (23.5%)

Threshold costs 3.9b (2.8%)

8.2b41.7%Cubic critical, narrow range
6.9b0%Cubic critical, medium range
3.9b72.8%Equirectangular approximation to distance on a great circle
3.5b0%Cubic critical, wide range
2.1b74.1%Quotient of products

series8.2s (4.3%)

Calls

452 calls:

599.0ms
(sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (*.f64 (-.f64 lambda1 lambda2) (cbrt.f64 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) 3)))))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
177.0ms
(/.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))) c_n)))
169.0ms
(/.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))) (-.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
162.0ms
(sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (*.f64 (-.f64 lambda1 lambda2) (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) 3)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
162.0ms
(sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))

rewrite4.6s (2.5%)

Algorithm
139×rewrite-expression-head
Calls

452 calls:

57.0ms
(sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (*.f64 (-.f64 lambda1 lambda2) (cbrt.f64 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)) 3)))))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
52.0ms
(/.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))) c_n)))
46.0ms
(*.f64 (sqrt.f64 m) (/.f64 (sqrt.f64 m) (/.f64 v (-.f64 1 m))))
42.0ms
(-.f64 (/.f64 1 (+.f64 1 (pow.f64 (tan.f64 x) 2))) (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 1 (pow.f64 (tan.f64 x) 2))))
40.0ms
(-.f64 1 (/.f64 b (/.f64 a (/.f64 b a))))
Rules
4591×*-un-lft-identity_binary64
4338×add-sqr-sqrt_binary64
4294×times-frac_binary64
3033×add-exp-log_binary64
2781×add-cube-cbrt_binary64
1635×add-cbrt-cube_binary64
1156×prod-exp_binary64
1041×div-exp_binary64
1022×pow1_binary64
851×flip--_binary64
850×flip3--_binary64
770×associate-*l/_binary64
719×pow-exp_binary64
701×add-log-exp_binary64
681×associate-*r*_binary64
680×difference-of-squares_binary64
670×sqrt-prod_binary64
655×frac-times_binary64
561×associate-/r*_binary64
505×sqrt-div_binary64
439×cbrt-unprod_binary64
434×associate-*r/_binary64
421×distribute-lft-out_binary64
411×frac-add_binary64
399×cbrt-undiv_binary64
387×associate-/l*_binary64
370×associate-*l*_binary64
368×pow-to-exp_binary64
355×cbrt-prod_binary64
350×distribute-lft-out--_binary64
288×div-inv_binary64
279×associate-/r/_binary64
272×log-prod_binary64
266×flip-+_binary64
265×flip3-+_binary64
216×pow-prod-down_binary64
203×unpow-prod-down_binary64
158×cbrt-div_binary64
150×log-pow_binary64
147×unswap-sqr_binary64
138×1-exp_binary64
134×rec-exp_binary64
121×associate-/l/_binary64
110×sub-neg_binary64
105×clear-num_binary64 frac-2neg_binary64
98×exp-prod_binary64
88×*-commutative_binary64
85×diff-log_binary64
72×cube-prod_binary64 sqr-pow_binary64
69×cos-mult_binary64
66×swap-sqr_binary64
62×frac-sub_binary64 associate--l+_binary64
55×log-div_binary64
54×sin-mult_binary64
52×sum-log_binary64
50×pow1/2_binary64 sqrt-pow1_binary64
48×pow-unpow_binary64
43×associate--r+_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64
42×difference-of-sqr-1_binary64
39×div-sub_binary64
38×rem-sqrt-square_binary64
36×+-commutative_binary64
27×unpow2_binary64
26×pow-prod-up_binary64
24×acos-asin_binary64 rem-log-exp_binary64 pow-sqr_binary64
22×pow1/3_binary64
21×cos-diff_binary64
20×associate--r-_binary64
19×sin-diff_binary64 pow-pow_binary64
18×unpow3_binary64 cube-mult_binary64
16×associate-+r+_binary64
14×pow-plus_binary64
13×cosh-undef_binary64
12×pow-flip_binary64 sin-cos-mult_binary64 sub-div_binary64
10×exp-sum_binary64 inv-pow_binary64 pow2_binary64 sin-sum_binary64
associate--l-_binary64 difference-of-sqr--1_binary64 sinh-undef_binary64 tan-quot_binary64
associate-+r-_binary64 exp-diff_binary64
cube-div_binary64 distribute-rgt-out--_binary64 cos-sum_binary64
rem-exp-log_binary64 rem-cube-cbrt_binary64
sinh-def_binary64 cos-acos_binary64
acos-neg_binary64 distribute-rgt-out_binary64 distribute-frac-neg_binary64
sqrt-unprod_binary64 rem-cbrt-cube_binary64 exp-to-pow_binary64 cos-PI/2_binary64 asin-acos_binary64
distribute-rgt1-in_binary64 e-exp-1_binary64 tanh-def-a_binary64 tanh-undef_binary64 sin-asin_binary64 cosh-def_binary64 rem-square-sqrt_binary64 tanh-def-b_binary64 tanh-def-c_binary64

localize2.0s (1.1%)

bsearch302.0ms (0.2%)

end1.0ms (0.0%)

Profiling

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