Herbie run

Date:Saturday, December 16th, 2023
Commit:665878db on main
Hostname:nightly with Racket 8.6
Seed:2023350
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: 51.6s)

sample11.2s (21.6%)

Results
8.3s62901×body256valid
1.3s4113×body2048valid
742.0ms7290×body256infinite
518.0ms1889×body256invalid
Bogosity

localize10.2s (19.9%)

Compiler

Compiled 6059 to 3141 computations (48.2% saved)

eval8.5s (16.5%)

Compiler

Compiled 465017 to 289359 computations (37.8% saved)

soundness6.0s (11.6%)

Rules
27966×fma-def
15218×log-prod
14986×associate-*r*
14520×times-frac
9236×associate-/r*
Stop Event
saturated
31×node limit
Compiler

Compiled 2110 to 1195 computations (43.4% saved)

simplify3.8s (7.4%)

Algorithm
28×egg-herbie
Rules
20342×fma-def
11508×times-frac
9128×log-prod
9000×associate-*r*
7960×*-commutative
Stop Event
saturated
done
fuel
20×node limit
Counts
6899 → 6749
Compiler

Compiled 932 to 604 computations (35.2% saved)

prune3.4s (6.6%)

Counts
11927 → 289
Compiler

Compiled 24994 to 16795 computations (32.8% saved)

rewrite2.6s (5.1%)

Algorithm
19×batch-egg-rewrite
Rules
10118×log1p-expm1-u
8748×expm1-log1p-u
7426×log-prod
5594×prod-diff
4826×unpow-prod-down
Stop Event
19×node limit
Counts
125 → 4487

preprocess2.4s (4.6%)

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 2956 to 1730 computations (41.5% saved)

regimes1.8s (3.5%)

Counts
386 → 67
Calls

26 calls:

358.0ms
b
297.0ms
a
204.0ms
c
197.0ms
x
156.0ms
y
Compiler

Compiled 8200 to 4752 computations (42% saved)

series694.0ms (1.3%)

Counts
125 → 2412
Calls

798 calls:

TimeVariablePointExpression
58.0ms
b
@inf
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)))) (*.f64 a 2))
16.0ms
a
@-inf
(pow.f64 (pow.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) a) 3) 1/3)
15.0ms
c
@0
(cbrt.f64 (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a -4) (pow.f64 b 2)))))
14.0ms
c
@inf
(pow.f64 (pow.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) a) 3) 1/3)
14.0ms
a
@inf
(pow.f64 (pow.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) a) 3) 1/3)

analyze485.0ms (0.9%)

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)

bsearch484.0ms (0.9%)

Algorithm
28×binary-search
Stop Event
19×narrow-enough
predicate-same
Results
325.0ms2392×body256valid
42.0ms312×body256infinite
19.0ms133×body256invalid
Compiler

Compiled 6193 to 4272 computations (31% saved)

end0.0ms (0%)

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