Date:Thursday, July 23rd, 2020
Commit:c653a889 on reprify
Hostname:warfa with Racket 7.5
Seed:2020205
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

sample37.0s (36.0%)

Algorithm
73×intervals
Results
11.0s237919×body80valid
6.1s14144×body1280valid
2.9s3933×body2560valid
2.6s16770×body160valid
2.4s9380×body640valid
2.3s99272×pre80true
1.8s14604×body80invalid
1.1s6573×body320valid
881.0ms200×body5120exit
123.0ms249×body640invalid
102.0ms135×body1280invalid
91.0ms241×body5120valid
84.0ms1695×body80nan
59.0ms194×body320invalid
20.0ms11×body2560invalid
17.0ms91×body160invalid
16.0ms211×body80overflowed
4.0ms100×pre80false

analyze21.4s (20.9%)

Algorithm
36×search
random
Search
TrueOtherFalseIter
0%60.5%39.5%0
1.4%59.2%39.5%1
5.6%55%39.5%2
11.1%47.4%41.5%3
13.9%43.5%42.6%4
19%38.1%42.8%5
20.7%35.1%44.2%6
24%30.1%45.9%7
26.5%26.9%46.6%8
29.4%22.8%47.8%9
31.8%19.6%48.6%10
33.4%17.3%49.2%11
35.7%14.6%49.7%12
40.6%9%50.4%13
41.2%8.2%50.6%14

prune17.7s (17.3%)

Filtered
10314 candidates to 6956 candidates (32.6%)

simplify9.9s (9.6%)

Algorithm
179×egg-herbie

series5.9s (5.8%)

Calls

304 calls:

124.0ms
(cbrt.f64 (-.f64 (*.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) (*.f64 x1 (+.f64 (*.f64 2.0 (-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) 3.0)) (*.f64 x1 4.0)))) (*.f64 (*.f64 x1 x1) 6.0)))
122.0ms
(cbrt.f64 (-.f64 (*.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) (*.f64 x1 (+.f64 (*.f64 2.0 (-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) 3.0)) (*.f64 x1 4.0)))) (*.f64 (*.f64 x1 x1) 6.0)))
121.0ms
(cbrt.f64 (-.f64 (*.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) (*.f64 x1 (+.f64 (*.f64 2.0 (-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) 3.0)) (*.f64 x1 4.0)))) (*.f64 (*.f64 x1 x1) 6.0)))
91.0ms
(-.f64 (*.f64 9.0 (pow.f64 x 4.0)) (pow.f64 y 4.0))
88.0ms
(cbrt.f64 (pow.f64 (-.f64 (*.f64 9.0 (pow.f64 x 4.0)) (pow.f64 y 4.0)) 3))

regimes5.0s (4.9%)

Accuracy

Total 23.7b remaining (17.4%)

Threshold costs 3.1b (2.3%)

6.0b69.6%Compound Interest
5.1b74.1%Kahan p9 Example
3.1b0%Complex division, real part
2.7b8.9%Complex division, imag part
1.3b0%Rosa's DopplerBench

rewrite3.8s (3.7%)

Algorithm
109×rewrite-expression-head
Calls

304 calls:

62.0ms
(-.f64 (*.f64 (/.f64 1 (*.f64 (cbrt.f64 (+.f64 (*.f64 x1 x1) 1.0)) (cbrt.f64 (+.f64 (*.f64 x1 x1) 1.0)))) (*.f64 (*.f64 x1 (+.f64 (*.f64 2.0 (-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) 3.0)) (*.f64 x1 4.0))) (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (cbrt.f64 (+.f64 (*.f64 x1 x1) 1.0))))) (*.f64 6.0 (*.f64 x1 x1)))
55.0ms
(-.f64 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 (*.f64 x1 x1) 1.0))) (*.f64 (*.f64 x1 (+.f64 (*.f64 2.0 (-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) 3.0)) (*.f64 x1 4.0))) (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (sqrt.f64 (+.f64 (*.f64 x1 x1) 1.0))))) (*.f64 6.0 (*.f64 x1 x1)))
46.0ms
(*.f64 (*.f64 x1 (+.f64 (*.f64 2.0 (-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) 3.0)) (*.f64 x1 4.0))) (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (cbrt.f64 (+.f64 (*.f64 x1 x1) 1.0))))
45.0ms
(-.f64 (*.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) (+.f64 (*.f64 x1 (*.f64 2.0 (-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) 3.0))) (*.f64 4.0 (*.f64 x1 x1)))) (*.f64 6.0 (*.f64 x1 x1)))
43.0ms
(*.f64 (*.f64 x1 (+.f64 (*.f64 2.0 (-.f64 (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (+.f64 (*.f64 x1 x1) 1.0)) 3.0)) (*.f64 x1 4.0))) (/.f64 (-.f64 (+.f64 (*.f64 x1 (*.f64 x1 3.0)) (*.f64 2.0 x2)) x1) (sqrt.f64 (+.f64 (*.f64 x1 x1) 1.0))))
Rules
4120×add-sqr-sqrt_binary64
4102×times-frac_binary64
4062×*-un-lft-identity_binary64
2405×add-cube-cbrt_binary64
1526×add-exp-log_binary64
1309×add-cbrt-cube_binary64
869×associate-*r*_binary64
717×pow1_binary64
684×add-log-exp_binary64
658×difference-of-squares_binary64
516×prod-exp_binary64
513×sqrt-prod_binary64
497×associate-*l*_binary64
475×distribute-lft-out_binary64
424×associate-/l*_binary64
416×cbrt-unprod_binary64
384×distribute-lft-out--_binary64
343×cbrt-prod_binary64
315×div-exp_binary64
280×unpow-prod-down_binary64
270×associate-/r*_binary64
267×flip3-+_binary64 flip-+_binary64
257×cbrt-undiv_binary64
242×associate-/r/_binary64
211×flip3--_binary64 flip--_binary64
205×associate-*r/_binary64
202×div-inv_binary64
189×pow-prod-down_binary64
178×frac-times_binary64
138×sum-log_binary64
129×unswap-sqr_binary64
127×distribute-rgt-neg-in_binary64 sqr-pow_binary64
124×distribute-lft-neg-in_binary64
121×associate-*l/_binary64
110×frac-sub_binary64
99×sqrt-div_binary64
98×sub-neg_binary64
92×diff-log_binary64
91×cube-prod_binary64
79×*-commutative_binary64
73×associate-/l/_binary64
72×exp-neg_binary64
62×cbrt-div_binary64
60×clear-num_binary64 frac-2neg_binary64
59×neg-sub0_binary64
54×exp-diff_binary64
53×swap-sqr_binary64
50×neg-mul-1_binary64
49×frac-add_binary64
42×pow-exp_binary64
41×distribute-rgt-in_binary64 distribute-lft-in_binary64
39×pow-unpow_binary64
38×log-prod_binary64
34×+-commutative_binary64
33×pow-to-exp_binary64 pow1/3_binary64 sqrt-pow1_binary64
32×rem-sqrt-square_binary64
31×pow1/2_binary64
26×unpow2_binary64 un-div-inv_binary64
23×div-sub_binary64
22×rec-exp_binary64 1-exp_binary64 associate--l+_binary64
20×associate-+l+_binary64
19×pow-pow_binary64
18×log-pow_binary64 cube-div_binary64
17×unpow3_binary64 cube-mult_binary64
15×associate-+r+_binary64
14×pow-prod-up_binary64
13×pow-plus_binary64
12×associate--l-_binary64
10×pow-sqr_binary64 log-div_binary64
rem-cube-cbrt_binary64 pow2_binary64
rem-log-exp_binary64 distribute-frac-neg_binary64
rem-cbrt-cube_binary64
associate--r+_binary64
difference-cubes_binary64 pow3_binary64 exp-prod_binary64 sum-cubes_binary64 pow-flip_binary64 inv-pow_binary64 distribute-rgt-out--_binary64
associate-+r-_binary64 distribute-rgt-out_binary64 neg-log_binary64 sub-div_binary64

localize1.4s (1.3%)

bsearch516.0ms (0.5%)

end1.0ms (0.0%)

Profiling

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