Herbie run

Date:Thursday, November 2nd, 2023
Commit:14fe7950 on main
Hostname:nightly with Racket 8.6
Seed:2023306
Parameters:256 points for 4 iterations
Flags:
reduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionssetup:simplifysetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:numericsrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifygenerate:proofs
default

Time bar (total: 25.0min)

localize8.0min (32%)

Results
Compiler

Compiled 81997 to 43855 computations (46.5% saved)

sample7.6min (30.3%)

Results
2.6min16962×body8192exit
1.2min64537×body1024valid
57.2s8161×body4096valid
52.2s269399×body256valid
32.1s13417×body2048valid
28.8s1593×body8192valid
17.9s32626×body512valid
7.4s4177×body1024infinite
6.0s28276×body256unsamplable
5.8s27170×body256infinite
4.0s623×body4096infinite
3.6s21582×body256invalid
3.4s810×body2048infinite
2.1s5410×body2048invalid
2.0s2102×body512infinite
2.0s3823×body1024invalid
663.0ms2276×body512invalid
381.0ms26×body8192infinite
85.0ms905×body256precondition
7.0ms10×body512unsamplable
3.0msbody4096invalid
2.0msbody1024unsamplable
Bogosity

eval2.1min (8.5%)

Compiler

Compiled 6391384 to 3733176 computations (41.6% saved)

soundness1.5min (5.9%)

Rules
252704×fma-def
149228×associate-*r*
125888×times-frac
123404×fma-neg
114976×log-prod
Stop Event
unsound
saturated
371×node limit
Compiler

Compiled 38239 to 23124 computations (39.5% saved)

regimes1.4min (5.8%)

Counts
18677 → 860
Calls

135 calls:

7.5s
phi1
6.9s
phi2
6.1s
lambda1
5.2s
lambda2
4.3s
(-.f64 lambda1 lambda2)
Compiler

Compiled 497788 to 276141 computations (44.5% saved)

preprocess1.1min (4.4%)

Algorithm
51×egg-herbie
Rules
66624×fma-def
26532×fma-neg
25708×div-sub
23584×sub-neg
22498×distribute-lft-neg-in
Stop Event
10×saturated
41×node limit
Compiler

Compiled 39602 to 22035 computations (44.4% saved)

simplify53.2s (3.5%)

Algorithm
220×egg-herbie
Rules
139350×fma-def
91018×associate-*r*
83488×log-prod
83354×times-frac
82638×associate-*l*
Stop Event
unsound
48×saturated
done
39×fuel
171×node limit
Counts
82843 → 65952
Results
Compiler

Compiled 12798 to 8564 computations (33.1% saved)

prune48.6s (3.2%)

Counts
145014 → 6508
Compiler

Compiled 689018 to 481981 computations (30% saved)

analyze35.6s (2.4%)

Algorithm
53×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%79.4%20.6%0%0%0%0
19.6%15.5%63.8%20.6%0%0%0%1
27.1%21.4%57.6%21%0%0%0%2
36.8%28.5%48.9%21.2%0%1.4%0%3
42.3%32.2%43.9%21.2%0%2.8%0%4
47.2%35.4%39.6%21.2%0%3.8%0%5
50.2%37.2%36.9%21.2%0%4.6%0%6
53.6%39.3%34%21.2%0%5.4%0.1%7
55.3%40.3%32.5%21.3%0%5.8%0.1%8
58.3%42%30.1%21.3%0%6.4%0.2%9
59.6%42.8%29%21.3%0%6.7%0.2%10
61.9%44.2%27.2%21.3%0%7.1%0.3%11
63.3%45%26%21.3%0%7.4%0.3%12
Compiler

Compiled 1919 to 1338 computations (30.3% saved)

rewrite26.3s (1.8%)

Algorithm
172×batch-egg-rewrite
Rules
99737×log1p-expm1-u
73369×expm1-log1p-u
59338×expm1-udef
56474×log1p-udef
54142×prod-diff
Stop Event
unsound
169×node limit
Counts
1638 → 49320

bsearch20.6s (1.4%)

Algorithm
347×binary-search
76×left-value
Stop Event
337×narrow-enough
10×predicate-same
Results
7.8s7056×body1024valid
4.8s25763×body256valid
2.2s2447×body2048valid
2.1s1721×body4096valid
1.6s2460×body512valid
350.0ms2369×body256invalid
104.0ms198×body1024invalid
104.0ms567×body256infinite
90.0ms134×body2048invalid
61.0ms67×body1024infinite
52.0msbody4096infinite
50.0ms13×body2048infinite
44.0ms42×body512infinite
34.0ms99×body512invalid
Compiler

Compiled 91130 to 69117 computations (24.2% saved)

series12.1s (0.8%)

Counts
1638 → 34088
Calls

9258 calls:

TimeVariablePointExpression
288.0ms
x-scale
@-inf
(-.f64 (*.f64 (/.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))))) (*.f64 y-scale x-scale)) (/.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))))) (*.f64 y-scale x-scale))) (*.f64 (*.f64 4 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (pow.f64 x-scale 2))) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (pow.f64 y-scale 2))))
155.0ms
a
@inf
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1 b (sqrt.f64 (*.f64 (fma.f64 2 (sqrt.f64 (*.f64 a c)) b) (fma.f64 -2 (sqrt.f64 (*.f64 a c)) b)))) (*.f64 a 2))) 3)
122.0ms
a
@-inf
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1 b (sqrt.f64 (*.f64 (fma.f64 2 (sqrt.f64 (*.f64 a c)) b) (fma.f64 -2 (sqrt.f64 (*.f64 a c)) b)))) (*.f64 a 2))) 3)
110.0ms
lambda1
@inf
(*.f64 (acos.f64 (+.f64 (*.f64 phi1 (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 lambda2) (cos.f64 lambda1) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))) R)
104.0ms
angle
@-inf
(log1p.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) (*.f64 angle 1/180))) (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2)))))

end16.0ms (0%)

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