Date:Thursday, August 20th, 2020
Commit:9dfd47eb on scaleup-plugins
Hostname:warfa with Racket 7.5
Seed:2020233
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

sample2.4min (54.8%)

Algorithm
78×intervals
Results
44.6s43439×body1280valid
35.3s5030×body5120exit
15.0s30191×body640valid
8.5s176266×body80valid
6.9s2615×body1280overflowed
6.3s27419×body320valid
4.7s22315×body80overflowed
4.4s35791×body160valid
3.6s2473×body640overflowed
3.3s132550×pre80true
1.1s1276×body320overflowed
1.0s2920×body2560valid
623.0ms3089×body2560nan
515.0ms9289×body80nan
432.0ms2540×body1280nan
362.0ms5240×body80invalid
295.0ms628×body160overflowed
214.0ms435×body640invalid
212.0ms297×body1280invalid
173.0ms1287×body640nan
129.0ms234×body5120valid
85.0ms240×body320invalid
64.0ms643×body320nan
23.0ms101×body160invalid
21.0ms310×body160nan
5.0ms141×pre80false

series40.2s (15.0%)

Calls

483 calls:

1.7s
(/.f64 (-.f64 (*.f64 (cos.f64 delta) (cos.f64 delta)) (*.f64 (sin.f64 (asin.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))) (*.f64 (sin.f64 (asin.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))) (pow.f64 (sin.f64 phi1) 2)))) (+.f64 (cos.f64 delta) (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (cos.f64 delta) (sin.f64 phi1)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta))))))))
963.0ms
(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))))
961.0ms
(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))))
958.0ms
(exp.f64 (log.f64 (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))))))
953.0ms
(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))))

analyze30.5s (11.4%)

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

simplify22.5s (8.4%)

Algorithm
222×egg-herbie

prune15.8s (5.9%)

Filtered
16041 candidates to 10216 candidates (36.3%)

rewrite5.1s (1.9%)

Algorithm
144×rewrite-expression-head
Calls

483 calls:

256.0ms
(-.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1))) (/.f64 (+.f64 x 1) (-.f64 x 1)))
54.0ms
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (/.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
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)))
41.0ms
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
40.0ms
(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) (-.f64 1 m))
Rules
7244×times-frac_binary64
6263×add-sqr-sqrt_binary64
6186×*-un-lft-identity_binary64
4274×add-cube-cbrt_binary64
3119×add-exp-log_binary64
1713×add-cbrt-cube_binary64
1415×sqrt-prod_binary64
1144×prod-exp_binary64
1108×associate-*l/_binary64
1077×div-exp_binary64
1057×pow1_binary64
1012×flip--_binary64
1011×flip3--_binary64
828×cbrt-prod_binary64
803×associate-/r*_binary64
766×difference-of-squares_binary64
721×add-log-exp_binary64
715×pow-exp_binary64
637×associate-*r*_binary64
603×frac-times_binary64
518×frac-add_binary64
516×associate-/l*_binary64
488×associate-*l*_binary64
446×distribute-lft-out_binary64
429×distribute-lft-out--_binary64
416×cbrt-unprod_binary64
403×cbrt-div_binary64
395×cbrt-undiv_binary64
390×unpow-prod-down_binary64
379×associate-*r/_binary64
365×pow-to-exp_binary64
343×div-inv_binary64
328×sqrt-div_binary64
272×log-prod_binary64
268×associate-/r/_binary64
205×swap-sqr_binary64
190×log-pow_binary64
186×pow-prod-down_binary64 flip-+_binary64
185×flip3-+_binary64
184×unswap-sqr_binary64
150×rec-exp_binary64 1-exp_binary64
127×sub-neg_binary64
124×log-div_binary64
123×cube-prod_binary64
119×sqr-pow_binary64
118×clear-num_binary64 frac-2neg_binary64
117×exp-prod_binary64
103×difference-of-sqr-1_binary64
100×*-commutative_binary64
81×diff-log_binary64 sqrt-pow1_binary64
75×associate--l+_binary64
74×exp-diff_binary64
73×associate-/l/_binary64
61×cosh-undef_binary64
60×pow1/2_binary64
52×pow1/3_binary64
50×sum-log_binary64
41×div-sub_binary64
39×rem-sqrt-square_binary64
37×associate--r+_binary64
34×+-commutative_binary64
31×distribute-rgt-in_binary64 distribute-lft-in_binary64
28×unpow3_binary64 cube-mult_binary64
27×pow-unpow_binary64
26×pow-pow_binary64
25×unpow2_binary64 pow-prod-up_binary64
23×rem-log-exp_binary64 tan-quot_binary64
21×pow-sqr_binary64
17×sin-diff_binary64 pow-flip_binary64
16×cos-diff_binary64
15×frac-sub_binary64 inv-pow_binary64 sin-mult_binary64
14×exp-sum_binary64
13×associate--l-_binary64 acos-asin_binary64 associate-+r+_binary64 pow-plus_binary64
12×pow2_binary64
11×sin-cos-mult_binary64
asin-acos_binary64 associate--r-_binary64
sinh-undef_binary64
sqrt-undiv_binary64 associate-+r-_binary64 distribute-rgt-out_binary64 rem-cube-cbrt_binary64 cos-sum_binary64
associate-+l+_binary64 rem-exp-log_binary64
sqrt-unprod_binary64 rem-cbrt-cube_binary64 cube-div_binary64 distribute-rgt-neg-in_binary64 sin-sum_binary64
distribute-neg-in_binary64 sinh-def_binary64 acos-neg_binary64 rem-square-sqrt_binary64 distribute-frac-neg_binary64
distribute-rgt1-in_binary64 associate-+l-_binary64 pow-div_binary64 cos-mult_binary64 distribute-rgt-out--_binary64
neg-sub0_binary64 tanh-def-a_binary64 tanh-undef_binary64 exp-to-pow_binary64 sqr-cos-a_binary64 neg-log_binary64 tanh-def-b_binary64 un-div-inv_binary64 unsub-neg_binary64 tanh-def-c_binary64

regimes4.7s (1.7%)

Accuracy

Total 37.8b remaining (26.3%)

Threshold costs 5.8b (4%)

7.2b48.4%Cubic critical, narrow range
5.8b15.3%Cubic critical, medium range
5.0b65.1%Equirectangular approximation to distance on a great circle
5.0b14.5%Quotient of products
4.6b83.7%Cubic critical

localize2.1s (0.8%)

bsearch365.0ms (0.1%)

end1.0ms (0.0%)

Profiling

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