Herbie run

Date:Friday, July 14th, 2023
Commit:132e0c53 on result-filters
Hostname:nightly with Racket 8.6
Seed:2023195
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: 7.7min)

sample2.4min (30.7%)

Results
56.0s365217×body256valid
55.4s7902×body8192exit
10.3s64918×body256infinite
7.7s15982×body1024valid
4.2s8292×body1024infinite
2.4s8716×body512valid
1.3s2302×body2048valid
1.2s3940×body512infinite
1.1s4978×body256unsamplable
638.0ms4505×body256invalid
493.0ms1132×body4096valid
240.0ms122×body2048infinite
Bogosity

localize1.2min (15%)

Compiler

Compiled 45761 to 25183 computations (45% saved)

soundness1.1min (14.2%)

Rules
259542×fma-def
143602×associate-*r*
116526×log-prod
116308×*-commutative
115172×associate-*l*
Stop Event
13×unsound
19×saturated
371×node limit
Compiler

Compiled 39843 to 23925 computations (40% saved)

eval51.6s (11.2%)

Compiler

Compiled 2792219 to 1694003 computations (39.3% saved)

simplify35.2s (7.6%)

Algorithm
270×egg-herbie
Rules
169572×fma-def
89588×associate-*r*
77048×associate-*l*
74990×fma-neg
73918×distribute-lft-in
Stop Event
unsound
84×saturated
24×done
33×fuel
181×node limit
Counts
58786 → 51536
Compiler

Compiled 11796 to 7465 computations (36.7% saved)

regimes27.4s (5.9%)

Counts
6697 → 854
Calls

132 calls:

3.4s
y.im
2.6s
x.re
2.5s
y.re
2.4s
x.im
2.1s
im
Compiler

Compiled 111332 to 63207 computations (43.2% saved)

prune21.1s (4.6%)

Counts
78578 → 2839
Compiler

Compiled 194635 to 137581 computations (29.3% saved)

rewrite17.4s (3.8%)

Algorithm
156×batch-egg-rewrite
Rules
98296×pow1
93888×add-exp-log
93660×log1p-expm1-u
93646×expm1-log1p-u
91688×add-log-exp
Stop Event
unsound
154×node limit
Counts
1180 → 35773

bsearch11.7s (2.5%)

Algorithm
427×binary-search
40×left-value
Stop Event
416×narrow-enough
11×predicate-same
Results
6.2s33782×body256valid
1.3s2903×body1024infinite
1.3s9119×body256infinite
748.0ms1800×body1024valid
536.0ms1598×body512infinite
266.0ms959×body512valid
124.0ms49×body2048infinite
89.0ms258×body2048valid
72.0ms172×body4096valid
Compiler

Compiled 88755 to 62627 computations (29.4% saved)

series8.2s (1.8%)

Counts
1180 → 22956
Calls

5967 calls:

TimeVariablePointExpression
295.0ms
alpha
@-inf
(/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))))
274.0ms
alpha
@-inf
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (fma.f64 2 i 2))) (/.f64 (+.f64 alpha beta) (+.f64 alpha (fma.f64 2 i beta))) 1)
251.0ms
x
@-inf
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/2))) (pow.f64 (exp.f64 2) (asin.f64 (sqrt.f64 (-.f64 1/2 (*.f64 x 1/2)))))))
107.0ms
rand
@0
(/.f64 rand (sqrt.f64 (+.f64 (*.f64 9 a) -3)))
99.0ms
im
@-inf
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 re im)))))

end6.7s (1.5%)

Compiler

Compiled 25888 to 13672 computations (47.2% saved)

preprocess4.1s (0.9%)

Algorithm
114×egg-herbie
Rules
35032×fma-def
16312×associate-*r*
15382×sqr-pow
15088×distribute-lft-in
14640×distribute-rgt-in
Stop Event
70×saturated
14×unsound
30×node limit
Compiler

Compiled 1510 to 967 computations (36% saved)

analyze1.4s (0.3%)

Algorithm
58×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%86.3%13.7%0%0%0%0
55.8%48.1%38.2%13.7%0%0%0%1
64.2%54.3%30.3%13.7%0%1.7%0%2
82%67.3%14.7%13.7%0%4.3%0%3
85.4%69.8%11.9%13.7%0%4.5%0%4
90%73.5%8.1%13.7%0%4.6%0%5
91.3%74.3%7.1%13.7%0%4.9%0%6
93.8%75.5%5%13.7%0%5.8%0%7
94.8%76.2%4.2%13.7%0%5.9%0%8
95.2%76.5%3.9%13.7%0%5.9%0%9
96.4%77.1%2.8%13.7%0%6.4%0%10
96.5%77.1%2.8%13.7%0%6.4%0%11
96.7%77.3%2.6%13.7%0%6.4%0%12
Compiler

Compiled 1558 to 994 computations (36.2% saved)

Profiling

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