Date:Wednesday, August 19th, 2020
Commit:9dfd47eb on scaleup-plugins
Hostname:warfa with Racket 7.5
Seed:2020232
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 (46.9%)

Algorithm
78×intervals
Results
43.9s43520×body1280valid
14.2s30213×body640valid
10.0s1524×body5120exit
7.9s174326×body80valid
5.9s27011×body320valid
4.2s36259×body160valid
2.7s108218×pre80true
2.4s940×body1280overflowed
1.4s7780×body80overflowed
1.2s861×body640overflowed
968.0ms3070×body2560valid
553.0ms2985×body2560nan
485.0ms9152×body80nan
389.0ms2564×body1280nan
353.0ms433×body320overflowed
335.0ms5196×body80invalid
213.0ms475×body640invalid
207.0ms299×body1280invalid
164.0ms233×body5120valid
156.0ms1289×body640nan
87.0ms200×body160overflowed
80.0ms232×body320invalid
54.0ms590×body320nan
32.0ms111×body160invalid
20.0ms317×body160nan
2.0ms126×pre80false

series39.4s (17.4%)

Calls

491 calls:

1.6s
(-.f64 (pow.f64 (cos.f64 delta) 3) (log.f64 (exp.f64 (pow.f64 (*.f64 (sin.f64 phi1) (sin.f64 (asin.f64 (+.f64 (*.f64 (sin.f64 phi1) (cos.f64 delta)) (*.f64 (*.f64 (cos.f64 phi1) (sin.f64 delta)) (cos.f64 theta)))))) 3))))
1.6s
(-.f64 (pow.f64 (cos.f64 delta) 3) (pow.f64 (*.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)))))) 3))
855.0ms
(/.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 (+.f64 1 (*.f64 c_p (+.f64 (log.f64 1/2) (*.f64 t 1/2)))) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))) c_n)))
801.0ms
(/.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 (+.f64 1/2 (*.f64 1/48 (pow.f64 t 3))) (*.f64 t 1/4)) c_n)))
792.0ms
(sqrt.f64 (+.f64 (*.f64 (*.f64 (-.f64 lambda1 lambda2) (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (*.f64 (-.f64 lambda1 lambda2) (*.f64 (*.f64 (cbrt.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2))) (cbrt.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))) (cbrt.f64 (cos.f64 (/.f64 (+.f64 phi1 phi2) 2)))))) (*.f64 (-.f64 phi1 phi2) (-.f64 phi1 phi2))))

analyze29.4s (13.0%)

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

simplify22.4s (9.9%)

Algorithm
225×egg-herbie

prune16.3s (7.2%)

Filtered
16428 candidates to 10016 candidates (39.0%)

rewrite5.3s (2.3%)

Algorithm
147×rewrite-expression-head
Calls

491 calls:

271.0ms
(*.f64 (-.f64 (/.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (sqrt.f64 v) (-.f64 1 m))) 1) (-.f64 1 m))
58.0ms
(+.f64 (/.f64 1 x) (/.f64 1 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))))
50.0ms
(/.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)))
43.0ms
(/.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 (+.f64 1 (*.f64 c_p (+.f64 (log.f64 1/2) (*.f64 t 1/2)))) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))) c_n)))
43.0ms
(-.f64 (/.f64 x (+.f64 x 1)) (log.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)))))
Rules
6751×times-frac_binary64
6273×*-un-lft-identity_binary64
5866×add-sqr-sqrt_binary64
4580×add-exp-log_binary64
3935×add-cube-cbrt_binary64
1967×prod-exp_binary64
1787×add-cbrt-cube_binary64
1764×div-exp_binary64
1523×pow-exp_binary64
1397×sqrt-prod_binary64
1030×associate-*l/_binary64
1022×flip--_binary64
1021×flip3--_binary64
988×difference-of-squares_binary64
983×pow1_binary64
783×pow-to-exp_binary64
741×add-log-exp_binary64
723×associate-/r*_binary64
705×associate-*r*_binary64
671×frac-times_binary64
563×sqrt-div_binary64
533×distribute-lft-out_binary64
488×unpow-prod-down_binary64
474×associate-*l*_binary64
463×frac-add_binary64
434×associate-/l*_binary64
428×cbrt-unprod_binary64
423×distribute-lft-out--_binary64
416×cbrt-undiv_binary64
376×associate-*r/_binary64
343×div-inv_binary64
324×associate-/r/_binary64
308×log-prod_binary64
295×cbrt-prod_binary64
276×rec-exp_binary64 1-exp_binary64
246×cube-prod_binary64
221×cbrt-div_binary64
207×flip-+_binary64
206×flip3-+_binary64
177×unswap-sqr_binary64
168×pow-prod-down_binary64
165×sqr-pow_binary64
157×log-pow_binary64
137×exp-prod_binary64
124×clear-num_binary64 frac-2neg_binary64
102×*-commutative_binary64
98×sub-neg_binary64
81×associate-/l/_binary64
74×diff-log_binary64
66×cosh-undef_binary64
64×sum-log_binary64
63×sqrt-pow1_binary64
60×pow-unpow_binary64
57×swap-sqr_binary64 pow1/2_binary64
54×associate-+l+_binary64
53×unpow3_binary64
49×unpow2_binary64
48×difference-of-sqr-1_binary64
45×pow1/3_binary64
43×+-commutative_binary64
42×cube-mult_binary64 log-div_binary64
40×rem-sqrt-square_binary64
37×div-sub_binary64
35×pow-pow_binary64
29×rem-log-exp_binary64
26×pow-prod-up_binary64
25×pow-flip_binary64
22×distribute-rgt-in_binary64 distribute-lft-in_binary64
19×inv-pow_binary64
18×sin-diff_binary64 cube-div_binary64 tan-quot_binary64
17×pow-sqr_binary64
16×frac-sub_binary64 cos-diff_binary64 sin-mult_binary64
15×pow-plus_binary64 associate--l+_binary64
14×associate--r+_binary64 associate-+r+_binary64 rem-cube-cbrt_binary64
13×acos-asin_binary64
12×distribute-rgt-out_binary64
10×pow2_binary64
cos-mult_binary64
exp-sum_binary64 associate-+r-_binary64 sin-cos-mult_binary64 sinh-undef_binary64
sum-cubes_binary64 cos-sum_binary64
rem-cbrt-cube_binary64 exp-diff_binary64
distribute-rgt1-in_binary64 acos-neg_binary64 distribute-neg-frac_binary64 rem-exp-log_binary64 asin-acos_binary64 distribute-frac-neg_binary64 sin-sum_binary64
sqrt-unprod_binary64 associate--l-_binary64 distribute-rgt-out--_binary64
difference-cubes_binary64 associate-+l-_binary64 sinh-def_binary64 pow3_binary64 tanh-def-a_binary64 tanh-undef_binary64 exp-to-pow_binary64 associate--r-_binary64 rem-square-sqrt_binary64 tanh-def-b_binary64 un-div-inv_binary64 tanh-def-c_binary64

regimes5.0s (2.2%)

Accuracy

Total 34.1b remaining (22.7%)

Threshold costs 7.0b (4.7%)

7.4b46.4%Cubic critical, narrow range
5.8b14%Cubic critical, medium range
4.7b66.7%Equirectangular approximation to distance on a great circle
3.5b69.5%Quotient of products
3.3b0%Cubic critical, wide range

localize2.0s (0.9%)

bsearch417.0ms (0.2%)

end1.0ms (0.0%)

Profiling

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