Date:Tuesday, July 28th, 2020
Commit:a9c380f0 on cleanup
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

Time bar (total: 5.4min)

prune2.1min (39%)

sample1.5min (27.9%)

Algorithm
62×intervals
Results
19.9s30735×body1280valid
14.7s175975×body80valid
9.2s20547×body640valid
6.2s7424×body2560valid
4.6s50092×body80nan
3.8s1440×body2560invalid
3.6s768×body5120invalid
3.1s9782×body320valid
2.7s4618×body1280nan
2.6s24091×body80invalid
2.1s2603×body5120valid
2.0s3672×body1280invalid
1.7s8870×body160valid
1.7s3981×body640nan
1.1s3092×body640invalid
639.0ms2084×body320nan
447.0ms1668×body320invalid
356.0ms580×body5120exit
345.0ms2408×body80overflowed
154.0ms851×body160invalid
142.0ms8256×pre80true
130.0ms700×body160nan

series34.7s (10.6%)

Calls

465 calls:

2.7s
(sqrt.f64 (*.f64 (*.f64 (*.f64 2.0 n) U) (-.f64 (-.f64 t (*.f64 2.0 (/.f64 l (/.f64 Om l)))) (*.f64 (*.f64 (*.f64 n (pow.f64 (*.f64 (cbrt.f64 (/.f64 l Om)) (cbrt.f64 (/.f64 l Om))) 2.0)) (pow.f64 (cbrt.f64 (/.f64 l Om)) 2.0)) (-.f64 U U*)))))
2.7s
(sqrt.f64 (*.f64 (*.f64 (*.f64 2.0 n) U) (-.f64 (-.f64 t (*.f64 2.0 (*.f64 l (/.f64 l Om)))) (*.f64 (*.f64 n (pow.f64 (/.f64 l Om) 2.0)) (-.f64 U U*)))))
2.7s
(sqrt.f64 (*.f64 (*.f64 (*.f64 2.0 n) U) (-.f64 (-.f64 t (*.f64 2.0 (/.f64 l (/.f64 Om l)))) (*.f64 (*.f64 n (pow.f64 (/.f64 l Om) 2.0)) (-.f64 U U*)))))
2.7s
(sqrt.f64 (*.f64 (*.f64 (*.f64 2.0 n) U) (-.f64 (-.f64 t (*.f64 2.0 (/.f64 (*.f64 l l) Om))) (*.f64 (*.f64 n (pow.f64 (/.f64 l Om) 2.0)) (-.f64 U U*)))))
428.0ms
(*.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2.0 d)) (/.f64 2.0 2)))

analyze32.6s (10%)

Algorithm
31×search
Search
TrueOtherFalseIter
0%98.2%1.8%0
3.2%95%1.8%1
5.6%91%3.4%2
8%84.5%7.4%3
9.8%80.7%9.5%4
13.5%76.9%9.7%5
16%72.8%11.2%6
18.1%68.2%13.7%7
21.2%62.6%16.2%8
24.7%57%18.2%9
26.4%53.6%20%10
28.9%49.8%21.3%11
30.2%47.2%22.5%12
31.9%42.5%25.7%13
32.9%40.8%26.3%14

regimes16.7s (5.1%)

Accuracy

Total 46.6b remaining (22%)

Threshold costs 4.5b (2.1%)

7.3b1400.5%Toniolo and Linder, Equation (13)
6.4b-378.5%Henrywood and Agarwal, Equation (12)
5.6b7692.9%Toniolo and Linder, Equation (7)
4.8b-711.8%Henrywood and Agarwal, Equation (3)
4.7b2118.2%Toniolo and Linder, Equation (10-)

simplify13.4s (4.1%)

Algorithm
184×egg-herbie

rewrite7.5s (2.3%)

Algorithm
122×rewrite-expression-head
Rules
50650×add-exp-log_binary64
35998×prod-exp_binary64
20855×pow-exp_binary64
16276×div-exp_binary64
8718×pow-to-exp_binary64
7084×times-frac_binary64
5167×add-sqr-sqrt_binary64
5154×*-un-lft-identity_binary64
4233×add-cube-cbrt_binary64
3706×add-cbrt-cube_binary64
3258×rec-exp_binary64 1-exp_binary64
2321×cbrt-unprod_binary64
1897×sqrt-prod_binary64
1525×pow1_binary64
1496×unpow-prod-down_binary64
1183×associate-*l*_binary64
1030×associate-*r*_binary64
909×associate-*r/_binary64
896×cbrt-undiv_binary64
748×cbrt-prod_binary64
688×sqrt-div_binary64
601×associate-/r*_binary64
583×add-log-exp_binary64
561×pow-prod-down_binary64
552×sqr-pow_binary64
547×frac-times_binary64
481×associate-*l/_binary64
360×flip3--_binary64 flip--_binary64
324×div-inv_binary64
301×distribute-lft-out_binary64
272×cbrt-div_binary64
268×pow-unpow_binary64
266×associate-/l*_binary64 exp-prod_binary64
246×associate-/r/_binary64
238×unswap-sqr_binary64
222×flip3-+_binary64 distribute-lft-out--_binary64 flip-+_binary64
194×difference-of-squares_binary64
168×*-commutative_binary64
127×sqrt-pow1_binary64
95×tan-quot_binary64
88×pow1/2_binary64
86×clear-num_binary64 frac-2neg_binary64
84×log-prod_binary64
75×sub-neg_binary64
73×cube-prod_binary64
65×rem-sqrt-square_binary64
64×distribute-rgt-in_binary64 distribute-lft-in_binary64
58×frac-sub_binary64
57×frac-add_binary64
54×pow1/3_binary64
49×pow-pow_binary64
43×log-pow_binary64
39×distribute-lft-neg-in_binary64 distribute-rgt-neg-in_binary64
38×associate-/l/_binary64
37×sum-log_binary64
31×pow-prod-up_binary64
26×+-commutative_binary64
24×swap-sqr_binary64
21×diff-log_binary64
20×div-sub_binary64
19×pow-sqr_binary64
16×pow-plus_binary64
15×rem-exp-log_binary64
14×pow-neg_binary64 sinh-undef_binary64
13×cosh-undef_binary64
12×unpow2_binary64 pow-sub_binary64 associate--l+_binary64
11×rem-log-exp_binary64 exp-diff_binary64
10×pow-flip_binary64 associate-+r+_binary64 inv-pow_binary64 pow2_binary64
neg-sub0_binary64
cube-div_binary64 un-div-inv_binary64
sqrt-unprod_binary64 sinh-def_binary64
cos-diff_binary64 cos-sum_binary64
log-div_binary64 distribute-rgt-out--_binary64
acos-asin_binary64 neg-mul-1_binary64 unpow3_binary64 cube-mult_binary64 rem-cube-cbrt_binary64
associate--r+_binary64 exp-sum_binary64 pow-div_binary64 sqrt-pow2_binary64 associate-+l+_binary64 distribute-rgt-out_binary64 asin-acos_binary64 rem-square-sqrt_binary64
difference-cubes_binary64 sqrt-undiv_binary64 associate--l-_binary64 exp-to-pow_binary64 sub-div_binary64 mul0-rgt_binary64
Calls

465 calls:

88.0ms
(*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 t) 3.0)) (cbrt.f64 (pow.f64 (cbrt.f64 t) 3.0))) (/.f64 (*.f64 (cbrt.f64 l) (cbrt.f64 l)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 t) 3.0)) (cbrt.f64 (pow.f64 (cbrt.f64 t) 3.0))))) (*.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 t) 3.0) l) (sin.f64 k)) (*.f64 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 t) 3.0)) (cbrt.f64 l)) (cbrt.f64 (pow.f64 (cbrt.f64 t) 3.0))))) (tan.f64 k)) (+.f64 (+.f64 1.0 (pow.f64 (/.f64 k t) 2.0)) 1.0))
88.0ms
(*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (cbrt.f64 h) (cbrt.f64 h))) (/.f64 1.0 2.0)) (pow.f64 (/.f64 d (cbrt.f64 h)) (/.f64 1.0 2.0))) (*.f64 (pow.f64 (/.f64 (*.f64 (cbrt.f64 d) (cbrt.f64 d)) (*.f64 (cbrt.f64 l) (cbrt.f64 l))) (/.f64 1.0 2.0)) (pow.f64 (/.f64 (cbrt.f64 d) (cbrt.f64 l)) (/.f64 1.0 2.0)))) (-.f64 1.0 (*.f64 (*.f64 (/.f64 1.0 2.0) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2.0 d)) 2.0)) (/.f64 h l))))
84.0ms
(*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (cbrt.f64 h) (cbrt.f64 h))) (/.f64 1.0 2.0)) (pow.f64 (/.f64 d (cbrt.f64 h)) (/.f64 1.0 2.0))) (*.f64 (pow.f64 (/.f64 (*.f64 (cbrt.f64 d) (cbrt.f64 d)) (*.f64 (cbrt.f64 l) (cbrt.f64 l))) (/.f64 1.0 2.0)) (pow.f64 (/.f64 (cbrt.f64 d) (cbrt.f64 l)) (/.f64 1.0 2.0)))) (-.f64 1.0 (*.f64 (*.f64 (*.f64 (/.f64 1.0 2.0) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2.0 d)) 2.0)) (*.f64 (cbrt.f64 h) (cbrt.f64 h))) (/.f64 (cbrt.f64 h) l))))
83.0ms
(*.f64 (pow.f64 (/.f64 1 (pow.f64 k (/.f64 2.0 2))) 1.0) (*.f64 (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (pow.f64 (sin.f64 k) 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 k (/.f64 2.0 2)) (pow.f64 t 1.0))) 1.0)))
75.0ms
(+.f64 1.0 (/.f64 (/.f64 x (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 p (*.f64 4.0 p)) (*.f64 x x))))) (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 4.0 p) p) (*.f64 x x))))))

localize2.3s (0.7%)

bsearch1.2s (0.4%)

end1.0ms (0%)

Profiling

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