Herbie run

Date:Monday, January 8th, 2024
Commit:f8614b92 on mixed-precision
Hostname:nightly with Racket 8.6
Seed:2024008
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: 54.6s)

localize12.9s (23.7%)

Compiler

Compiled 5697 to 2905 computations (49% saved)

sample12.2s (22.3%)

Results
9.2s62932×body256valid
1.4s4081×body2048valid
1.0s7291×body256infinite
409.0ms1798×body256invalid
Bogosity

eval8.1s (14.8%)

Compiler

Compiled 481674 to 309513 computations (35.7% saved)

soundness5.4s (9.8%)

Rules
25038×fma-def
17086×times-frac
14172×associate-*r*
12382×log-prod
10710×fma-neg
Stop Event
saturated
31×node limit
Compiler

Compiled 3860 to 2249 computations (41.7% saved)

simplify3.4s (6.1%)

Algorithm
27×egg-herbie
Rules
17868×fma-def
11398×times-frac
11258×associate-*r*
9226×log-prod
8614×associate-*l*
Stop Event
saturated
done
fuel
18×node limit
Counts
6267 → 5803
Compiler

Compiled 1442 to 917 computations (36.4% saved)

prune3.0s (5.4%)

Counts
11871 → 291
Compiler

Compiled 24811 to 16773 computations (32.4% saved)

preprocess2.6s (4.8%)

Algorithm
egg-herbie
Rules
7114×fma-def
5098×div-sub
4546×fma-neg
3720×times-frac
3216×associate-/r*
Stop Event
saturated
node limit
Compiler

Compiled 3830 to 2122 computations (44.6% saved)

rewrite2.4s (4.3%)

Algorithm
18×batch-egg-rewrite
Rules
8147×log1p-expm1-u
7178×expm1-log1p-u
5464×log-prod
5024×expm1-udef
4954×unpow-prod-down
Stop Event
18×node limit
Counts
118 → 3924

regimes2.2s (4%)

Counts
427 → 111
Calls

26 calls:

465.0ms
b
397.0ms
a
311.0ms
c
235.0ms
x
176.0ms
z
Compiler

Compiled 8878 to 5213 computations (41.3% saved)

bsearch1.5s (2.7%)

Algorithm
68×binary-search
Stop Event
63×narrow-enough
predicate-same
Results
1.1s7418×body256valid
165.0ms1254×body256infinite
87.0ms484×body256invalid
Compiler

Compiled 15670 to 11246 computations (28.2% saved)

series565.0ms (1%)

Counts
118 → 2343
Calls

831 calls:

TimeVariablePointExpression
45.0ms
a
@-inf
(*.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))))))
39.0ms
y
@inf
(/.f64 (-.f64 (+.f64 4 x) (*.f64 x z)) y)
10.0ms
b
@-inf
(/.f64 (+.f64 0 (*.f64 c (*.f64 a 4))) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))
8.0ms
b
@-inf
(pow.f64 (/.f64 2 (fma.f64 2 (/.f64 a b) (*.f64 -2 (/.f64 b c)))) 1/3)
6.0ms
a
@inf
(/.f64 (+.f64 0 (*.f64 c (*.f64 a 4))) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))))

analyze535.0ms (1%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
22.2%22.2%77.7%0.1%0%0%0%1
29.4%27.8%66.6%0.1%0%5.6%0%2
50%44.4%44.4%0.1%0%11.1%0%3
59.7%51.3%34.7%0.1%0%13.9%0%4
67.2%56.9%27.7%0.1%0%15.3%0%5
74.4%62.4%21.5%0.1%0%16%0%6
78.9%64.9%17.3%0.1%0%17.7%0%7
80.8%66.3%15.8%0.1%0%17.9%0%8
85.9%69.9%11.5%0.1%0%18.5%0%9
88%70.7%9.7%0.1%0%19.6%0%10
90%72.1%8%0.1%0%19.8%0%11
92.3%73.5%6.2%0.1%0%20.3%0%12
Compiler

Compiled 161 to 110 computations (31.7% saved)

end1.0ms (0%)

Profiling

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