Date:Wednesday, September 16th, 2020
Commit:eff2405d on multiprecision
Hostname:warfa with Racket 7.8
Seed:2020260
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

sample2.9min (54.1%)

Algorithm
78×intervals
Results
1.3min6342×body8192exit
39.8s51413×body1024valid
9.6s200181×body128valid
8.6s4685×body1024overflowed
7.9s25259×body512valid
5.8s28548×body128overflowed
4.8s6218×body2048valid
4.5s32871×body256valid
3.4s142113×pre128true
2.5s2502×body512overflowed
615.0ms4079×body2048nan
599.0ms1228×body256overflowed
461.0ms9474×body128nan
360.0ms5491×body128invalid
345.0ms931×body4096valid
260.0ms469×body1024invalid
243.0ms2014×body1024nan
147.0msbody8192valid
133.0ms378×body512invalid
91.0ms1036×body512nan
50.0ms213×body256invalid
29.0ms501×body256nan
2.0ms140×pre128false
1.0msbody4096nan

series1.2min (21.6%)

Calls

464 calls:

1.9s
(cbrt.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))))
1.8s
(cbrt.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))))
1.8s
(cbrt.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))))
1.8s
(cbrt.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))))
1.8s
(cbrt.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))))

analyze29.9s (9.3%)

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

simplify16.5s (5.1%)

Algorithm
220×egg-herbie

prune15.1s (4.7%)

Filtered
13377 candidates to 8524 candidates (36.3%)

rewrite6.8s (2.1%)

Algorithm
142×rewrite-expression-head
Calls

464 calls:

366.0ms
(-.f64 (pow.f64 (/.f64 (pow.f64 x0 3) (pow.f64 (-.f64 1 x1) 6)) 3) (pow.f64 (pow.f64 x0 3) 3))
105.0ms
(*.f64 (cbrt.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))) (cbrt.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))))
98.0ms
(-.f64 (/.f64 (pow.f64 x0 3) (pow.f64 (-.f64 1 x1) 6)) (pow.f64 x0 3))
88.0ms
(-.f64 (/.f64 (/.f64 2 (sqrt.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))) (sqrt.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
56.0ms
(/.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)))
Rules
4457×*-un-lft-identity_binary64
3920×add-sqr-sqrt_binary64
3173×times-frac_binary64
2601×add-exp-log_binary64
2080×add-cube-cbrt_binary64
1554×add-cbrt-cube_binary64
1086×associate-*l/_binary64
948×flip--_binary64
947×flip3--_binary64
926×pow1_binary64
900×prod-exp_binary64
802×difference-of-squares_binary64
778×unpow-prod-down_binary64
743×div-exp_binary64
734×frac-times_binary64
696×add-log-exp_binary64
590×distribute-lft-out_binary64
577×sqrt-prod_binary64
570×associate-*r*_binary64
537×cube-prod_binary64
533×cbrt-div_binary64
490×pow-exp_binary64
488×cbrt-prod_binary64
485×distribute-lft-out--_binary64
466×frac-add_binary64
378×associate-/r*_binary64
376×associate-*l*_binary64
373×cbrt-unprod_binary64
363×associate-/l*_binary64
362×sqr-pow_binary64
361×associate-*r/_binary64
341×cbrt-undiv_binary64
316×sqrt-div_binary64
292×log-prod_binary64
291×pow-to-exp_binary64 flip-+_binary64
290×flip3-+_binary64
260×div-inv_binary64
204×associate-/r/_binary64
169×pow-prod-down_binary64
153×rec-exp_binary64
125×unswap-sqr_binary64
107×log-pow_binary64
104×sub-neg_binary64
99×clear-num_binary64 frac-2neg_binary64
96×swap-sqr_binary64
92×*-commutative_binary64
79×diff-log_binary64
74×exp-prod_binary64 log-div_binary64
67×associate-/l/_binary64
63×pow-unpow_binary64
48×pow1/3_binary64
46×unpow3_binary64
44×sum-log_binary64
42×difference-of-sqr-1_binary64
40×sqrt-pow1_binary64
39×associate--r+_binary64
38×pow1/2_binary64 associate--l+_binary64
37×+-commutative_binary64
35×cube-mult_binary64 div-sub_binary64
34×rem-sqrt-square_binary64
31×frac-sub_binary64
30×rem-log-exp_binary64 distribute-rgt-out_binary64
29×sin-mult_binary64 pow-pow_binary64
24×distribute-rgt-in_binary64 distribute-lft-in_binary64
19×pow-flip_binary64
18×cos-diff_binary64
17×sin-diff_binary64
16×associate-+r+_binary64 tan-quot_binary64
15×cos-mult_binary64 cosh-undef_binary64 sin-cos-mult_binary64
14×inv-pow_binary64
12×pow-sqr_binary64 pow-prod-up_binary64
11×associate--r-_binary64
10×associate--l-_binary64 acos-asin_binary64 cube-div_binary64 rem-cube-cbrt_binary64
distribute-rgt1-in_binary64 unpow2_binary64 asin-acos_binary64
exp-sum_binary64 pow-plus_binary64 sinh-undef_binary64
rem-cbrt-cube_binary64 cos-sum_binary64 pow2_binary64
exp-diff_binary64
associate-+r-_binary64
rem-exp-log_binary64 sub-div_binary64 sin-sum_binary64
acos-neg_binary64 distribute-lft-neg-in_binary64 associate-+l+_binary64 distribute-rgt-neg-in_binary64 distribute-frac-neg_binary64
distribute-rgt-neg-out_binary64 distribute-rgt-out--_binary64 unsub-neg_binary64
difference-cubes_binary64 sqrt-unprod_binary64 sinh-def_binary64 tanh-def-a_binary64 tanh-undef_binary64 neg-mul-1_binary64 unpow1/3_binary64 exp-to-pow_binary64 sqr-cos-a_binary64 tanh-def-b_binary64 tanh-def-c_binary64 distribute-lft-neg-out_binary64

regimes5.0s (1.6%)

Accuracy

Total 35.7b remaining (23%)

Threshold costs 5.7b (3.7%)

7.1b49.6%Cubic critical, narrow range
5.9b48.8%Quotient of products
5.9b12.7%Cubic critical, medium range
4.1b70.5%Equirectangular approximation to distance on a great circle
3.5b0%Cubic critical, wide range

bsearch3.1s (1.0%)

localize2.1s (0.6%)

end1.0ms (0.0%)

Profiling

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