Herbie run

Date:Wednesday, January 31st, 2024
Commit:92b4fbd0 on sample-profiles-more
Hostname:nightly with Racket 8.11.1
Seed:2024031
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: 1.3min)

eval16.8s (21.2%)

Compiler

Compiled 816470 to 535480 computations (34.4% saved)

localize16.6s (20.9%)

Compiler

Compiled 6718 to 3652 computations (45.6% saved)

sample13.4s (17%)

Results
10.4s63089×256valid
1.1s7136×256infinite
1.5s4079×2048valid
433.0ms1901×256invalid
Bogosity

soundness7.8s (9.9%)

Rules
20270×fma-def
17864×times-frac
15118×associate-*r*
14950×fma-neg
12364×associate-*l*
Stop Event
saturated
30×node limit
Compiler

Compiled 2479 to 1441 computations (41.9% saved)

simplify5.8s (7.3%)

Algorithm
32×egg-herbie
Rules
22718×fma-def
12396×distribute-lft-in
12188×associate-*r*
11910×times-frac
11066×log-prod
Stop Event
saturated
fuel
23×node limit
done
Counts
7836 → 7208
Compiler

Compiled 1124 to 732 computations (34.9% saved)

prune5.0s (6.3%)

Counts
17935 → 275
Compiler

Compiled 14758 to 9814 computations (33.5% saved)

rewrite4.9s (6.2%)

Algorithm
23×batch-egg-rewrite
Rules
13335×log1p-expm1-u
10230×prod-diff
9914×expm1-log1p-u
7574×expm1-udef
7148×log1p-udef
Stop Event
23×node limit
Counts
142 → 5053

preprocess4.2s (5.3%)

Algorithm
egg-herbie
Rules
7114×fma-def
5092×div-sub
4546×fma-neg
3738×times-frac
3230×associate-/r*
Stop Event
saturated
node limit
Compiler

Compiled 3764 to 2177 computations (42.2% saved)

regimes2.0s (2.5%)

Counts
367 → 78
Calls

26 calls:

409.0ms
a
273.0ms
b
264.0ms
c
206.0ms
y
204.0ms
x
Compiler

Compiled 466 to 323 computations (30.7% saved)

series1.5s (1.8%)

Counts
142 → 2783
Calls

852 calls:

TimeVariablePointExpression
243.0ms
x
@0
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 x -1))) (+.f64 x 1))
60.0ms
c
@0
(cbrt.f64 (/.f64 2 (/.f64 (+.f64 b (sqrt.f64 (-.f64 (pow.f64 b 2) (*.f64 c (*.f64 a 4))))) c)))
57.0ms
x
@-inf
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) 2)) (pow.f64 (fma.f64 x x -1) 1/4)) (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1)))) (pow.f64 (fma.f64 x x -1) 1/4))) (sqrt.f64 (sqrt.f64 (fma.f64 x x -1))))
52.0ms
a
@0
(*.f64 (pow.f64 (*.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4))
51.0ms
a
@0
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))

bsearch770.0ms (1%)

Algorithm
40×binary-search
Stop Event
predicate-same
33×narrow-enough
Results
578.0ms4177×256valid
66.0ms527×256infinite
54.0ms339×256invalid
Compiler

Compiled 9881 to 7116 computations (28% saved)

analyze521.0ms (0.7%)

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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