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

sample2.0min (53.5%)

Algorithm
78×intervals
Results
43.6s43671×body1280valid
18.7s2781×body5120exit
14.2s29684×body640valid
8.0s175160×body80valid
5.9s27303×body320valid
4.1s1595×body1280overflowed
4.1s36091×body160valid
2.9s116822×pre80true
2.4s12947×body80overflowed
1.9s1384×body640overflowed
994.0ms3031×body2560valid
559.0ms3030×body2560nan
544.0ms692×body320overflowed
485.0ms9322×body80nan
392.0ms2611×body1280nan
338.0ms5295×body80invalid
227.0ms311×body1280invalid
196.0ms449×body640invalid
151.0ms358×body160overflowed
140.0ms1194×body640nan
102.0ms223×body5120valid
82.0ms254×body320invalid
59.0ms652×body320nan
23.0ms107×body160invalid
19.0ms312×body160nan
2.0ms132×pre80false

analyze29.5s (13.3%)

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

prune25.6s (11.6%)

Filtered
16561 candidates to 11098 candidates (33.0%)

simplify14.3s (6.4%)

Algorithm
222×egg-herbie

series12.1s (5.4%)

Calls

477 calls:

794.0ms
(*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)) (+.f64 1/2 (*.f64 (cos.f64 (*.f64 (/.f64 (+.f64 phi1 phi2) 2.0) 2)) 1/2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
636.0ms
(sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)) (+.f64 1/2 (*.f64 (cos.f64 (*.f64 (/.f64 (+.f64 phi1 phi2) 2.0) 2)) 1/2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
635.0ms
(sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)) (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 (/.f64 (+.f64 phi1 phi2) 2.0) 2))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
634.0ms
(sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)) (+.f64 1/2 (*.f64 (cos.f64 (*.f64 (/.f64 (+.f64 phi1 phi2) 2.0) 2)) 1/2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))
240.0ms
(/.f64 (*.f64 (pow.f64 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 1.0 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 s))))) c_n)) (*.f64 (pow.f64 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 1.0 (/.f64 1.0 (+.f64 1.0 (exp.f64 (neg.f64 t))))) c_n)))

regimes11.4s (5.1%)

Accuracy

Total 31.3b remaining (22.9%)

Threshold costs 6.3b (4.6%)

9.7b34.9%Equirectangular approximation to distance on a great circle
6.7b4%Cubic critical, medium range
3.5b0%Cubic critical, wide range
2.3b78.8%Quotient of products
1.8b55%2-ancestry mixing, positive discriminant

rewrite5.3s (2.4%)

Algorithm
144×rewrite-expression-head
Calls

477 calls:

267.0ms
(-.f64 (pow.f64 (/.f64 (pow.f64 x0 3) (pow.f64 (-.f64 1.0 x1) 6)) 3) (pow.f64 (pow.f64 x0 3) 3))
71.0ms
(-.f64 (/.f64 (pow.f64 x0 3) (pow.f64 (-.f64 1.0 x1) 6)) (pow.f64 x0 3))
55.0ms
(*.f64 (*.f64 (cbrt.f64 a2) (cbrt.f64 a2)) (/.f64 a1 (/.f64 b1 (/.f64 (cbrt.f64 a2) b2))))
50.0ms
(*.f64 R (sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (-.f64 lambda1 lambda2)) (+.f64 1/2 (*.f64 (cos.f64 (*.f64 (/.f64 (+.f64 phi1 phi2) 2.0) 2)) 1/2))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2)))))
48.0ms
(*.f64 (sqrt.f64 (/.f64 2.0 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (sqrt.f64 (/.f64 2.0 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
Rules
7576×times-frac_binary64
6064×add-sqr-sqrt_binary64
5879×*-un-lft-identity_binary64
4202×add-cube-cbrt_binary64
2630×add-exp-log_binary64
1760×flip--_binary64
1759×flip3--_binary64
1708×frac-times_binary64
1670×add-cbrt-cube_binary64
1132×sqrt-div_binary64
1066×pow1_binary64
1044×frac-add_binary64
1017×associate-*l/_binary64
909×associate-*r/_binary64
880×associate-*r*_binary64
851×unpow-prod-down_binary64
846×cbrt-prod_binary64
844×div-exp_binary64
800×prod-exp_binary64
788×difference-of-squares_binary64
742×associate-/r*_binary64
734×add-log-exp_binary64
707×associate-/l*_binary64
551×cube-prod_binary64
538×distribute-lft-out_binary64
493×flip-+_binary64
492×flip3-+_binary64
412×sqrt-prod_binary64
409×sqr-pow_binary64
394×cbrt-unprod_binary64
387×cbrt-undiv_binary64
375×associate-*l*_binary64
337×div-inv_binary64
315×log-prod_binary64
306×pow-exp_binary64
287×associate-/r/_binary64
285×distribute-lft-out--_binary64
242×pow-prod-down_binary64
222×pow-to-exp_binary64
161×unswap-sqr_binary64
120×distribute-rgt-neg-in_binary64
119×distribute-lft-neg-in_binary64 neg-mul-1_binary64
118×clear-num_binary64 frac-2neg_binary64
114×sub-neg_binary64
97×log-pow_binary64
95×*-commutative_binary64
83×cos-mult_binary64
80×diff-log_binary64
76×swap-sqr_binary64
75×associate--l+_binary64
74×associate-/l/_binary64
66×pow-unpow_binary64
65×cbrt-div_binary64
64×sum-log_binary64
63×exp-prod_binary64
62×rec-exp_binary64 1-exp_binary64
55×log-div_binary64
53×associate--r+_binary64
52×cosh-undef_binary64 div-sub_binary64
51×pow1/2_binary64 sqrt-pow1_binary64
41×pow1/3_binary64
39×+-commutative_binary64
38×rem-sqrt-square_binary64
35×unpow2_binary64
34×unpow3_binary64 cube-mult_binary64 cube-div_binary64
33×pow-pow_binary64
28×rem-log-exp_binary64
27×frac-sub_binary64 distribute-rgt-in_binary64 pow-prod-up_binary64 distribute-lft-in_binary64
25×pow-sqr_binary64
24×associate-+r+_binary64
22×distribute-frac-neg_binary64
17×sin-mult_binary64
15×sin-diff_binary64
14×tan-quot_binary64
13×associate--l-_binary64 pow-plus_binary64
12×neg-sub0_binary64 cos-diff_binary64
11×pow-flip_binary64 sin-cos-mult_binary64
10×pow2_binary64
acos-asin_binary64 rem-cube-cbrt_binary64
sinh-def_binary64 rem-cbrt-cube_binary64 inv-pow_binary64 sinh-undef_binary64
associate-+l+_binary64
associate-+r-_binary64 asin-acos_binary64 associate--r-_binary64
cos-sum_binary64
sin-sum_binary64
associate-+l-_binary64 acos-neg_binary64 distribute-rgt-out_binary64 rem-exp-log_binary64 exp-diff_binary64 un-div-inv_binary64 distribute-lft-neg-out_binary64
sqrt-unprod_binary64 exp-sum_binary64 sqr-cos-a_binary64
difference-cubes_binary64 distribute-rgt1-in_binary64 tanh-def-a_binary64 tanh-undef_binary64 sum-cubes_binary64 exp-to-pow_binary64 neg-log_binary64 rem-square-sqrt_binary64 tanh-def-b_binary64 tanh-def-c_binary64

bsearch2.8s (1.3%)

localize2.1s (0.9%)

end1.0ms (0.0%)

Profiling

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