Herbie run

Date:Wednesday, November 29th, 2023
Commit:1dabe179 on main
Hostname:nightly with Racket 8.6
Seed:2023333
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: 4.7min)

sample1.6min (34.2%)

Results
33.5s37239×body2048valid
23.5s59599×body1024valid
13.6s72905×body256precondition
13.2s94208×body256valid
7.7s33448×body512valid
1.3s2149×body4096valid
913.0ms1185×body1024invalid
844.0ms4194×body256infinite
653.0ms5062×body256invalid
439.0ms4005×body256unsamplable
221.0ms587×body512invalid
119.0ms135×body1024infinite
89.0ms190×body512infinite
3.0msbody2048infinite
3.0msbody2048invalid
1.0msbody8192valid
Bogosity

soundness37.8s (13.3%)

Rules
116342×fma-def
61616×fma-neg
60038×associate-*r*
56140×times-frac
49342×log-prod
Stop Event
saturated
183×node limit
Compiler

Compiled 16482 to 9771 computations (40.7% saved)

localize34.4s (12.2%)

Compiler

Compiled 12196 to 6723 computations (44.9% saved)

eval30.1s (10.6%)

Compiler

Compiled 1300342 to 800918 computations (38.4% saved)

simplify19.9s (7%)

Algorithm
125×egg-herbie
Rules
73514×fma-def
43364×fma-neg
43162×associate-*r*
41214×times-frac
39694×log-prod
Stop Event
done
28×saturated
24×fuel
97×node limit
Counts
38640 → 36685
Compiler

Compiled 4305 to 2921 computations (32.1% saved)

regimes14.6s (5.2%)

Counts
4418 → 357
Calls

43 calls:

3.3s
x
3.0s
eps
1.6s
(/.f64 1 n)
1.0s
a
956.0ms
c
Compiler

Compiled 49955 to 28836 computations (42.3% saved)

rewrite14.5s (5.1%)

Algorithm
97×batch-egg-rewrite
Rules
58472×log1p-expm1-u
44057×expm1-log1p-u
42308×prod-diff
35106×expm1-udef
31986×log1p-udef
Stop Event
97×node limit
Counts
720 → 28474

prune14.3s (5.1%)

Counts
57538 → 2196
Compiler

Compiled 108853 to 77103 computations (29.2% saved)

preprocess10.6s (3.7%)

Algorithm
28×egg-herbie
Rules
34252×fma-def
11926×fma-neg
11896×div-sub
9418×sub-neg
8164×distribute-lft-neg-in
Stop Event
13×saturated
15×node limit
Compiler

Compiled 11468 to 6718 computations (41.4% saved)

series4.2s (1.5%)

Counts
720 → 10166
Calls

3318 calls:

TimeVariablePointExpression
311.0ms
x
@inf
(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
97.0ms
eps
@-inf
(*.f64 (/.f64 (sin.f64 eps) -1) (tan.f64 (/.f64 eps 2)))
78.0ms
x
@0
(fma.f64 (log1p.f64 x) (/.f64 1 n) (neg.f64 (/.f64 (log.f64 x) n)))
74.0ms
N
@-inf
(*.f64 (sqrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))) (cbrt.f64 (atan2.f64 1 (fma.f64 N (+.f64 1 N) 1))))
69.0ms
eps
@inf
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) 1))

bsearch3.9s (1.4%)

Algorithm
102×binary-search
77×left-value
Stop Event
99×narrow-enough
predicate-same
Results
1.1s2404×body1024valid
1.1s8292×body256valid
614.0ms694×body2048valid
412.0ms1054×body512valid
119.0ms1165×body256invalid
75.0ms361×body256infinite
28.0ms60×body512infinite
26.0ms156×body256unsamplable
21.0ms26×body1024infinite
7.0msbody4096valid
Compiler

Compiled 23951 to 17127 computations (28.5% saved)

analyze1.9s (0.7%)

Algorithm
28×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%82.9%17.1%0%0%0%0
24.4%20.2%62.6%17.1%0%0%0%1
36.2%28.7%50.6%17.1%0%3.6%0%2
48.8%38%39.9%17.6%0%4.5%0%3
56%43.3%33.9%17.9%0%4.9%0%4
63%47.8%28.1%18.5%0%5.6%0%5
65.2%49%26.2%18.9%0%5.9%0%6
68%50.3%23.7%19.1%0%6.7%0.1%7
70.3%51.8%21.8%19.4%0%6.9%0.1%8
72%52.5%20.4%19.5%0%7.3%0.3%9
73.4%52.9%19.2%19.7%0%7.9%0.3%10
75.2%53.9%17.8%19.8%0%8.1%0.4%11
76%54.2%17.1%19.8%0%8.5%0.4%12
Compiler

Compiled 409 to 297 computations (27.4% saved)

end4.0ms (0%)

Profiling

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