Herbie run

Date:Thursday, November 16th, 2023
Commit:8ea339bb on hamming-cleanup
Hostname:nightly with Racket 8.6
Seed:2023320
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: 8.6min)

sample2.3min (27.1%)

Results
55.6s364936×body256valid
54.4s7736×body8192exit
9.7s65154×body256infinite
7.7s16014×body1024valid
4.2s8498×body1024infinite
2.6s8683×body512valid
1.3s3879×body512infinite
1.2s2234×body2048valid
774.0ms4608×body256invalid
675.0ms4274×body256unsamplable
498.0ms1057×body4096valid
154.0ms141×body2048infinite
Bogosity

localize1.7min (20.2%)

Compiler

Compiled 46763 to 26770 computations (42.8% saved)

soundness1.1min (12.7%)

Rules
194736×fma-def
128504×associate-*r*
101184×fma-neg
99800×associate-*l*
97794×*-commutative
Stop Event
22×unsound
16×saturated
306×node limit
Compiler

Compiled 29908 to 16302 computations (45.5% saved)

eval58.2s (11.3%)

Compiler

Compiled 2890732 to 1894381 computations (34.5% saved)

simplify37.6s (7.3%)

Algorithm
219×egg-herbie
Rules
120582×fma-def
77596×associate-*r*
76572×log-prod
68366×associate-*l*
68280×*-commutative
Stop Event
unsound
57×saturated
19×done
38×fuel
154×node limit
Counts
61278 → 55160
Compiler

Compiled 11062 to 6504 computations (41.2% saved)

regimes29.2s (5.7%)

Counts
6298 → 743
Calls

132 calls:

3.9s
y.im
3.1s
x.im
3.0s
x.re
2.9s
y.re
2.2s
im
Compiler

Compiled 109885 to 57435 computations (47.7% saved)

rewrite23.3s (4.5%)

Algorithm
162×batch-egg-rewrite
Rules
95153×log1p-expm1-u
75240×expm1-log1p-u
59166×expm1-udef
53948×log1p-udef
49468×log-prod
Stop Event
unsound
155×node limit
Counts
1222 → 38636

prune22.0s (4.3%)

Counts
78470 → 2856
Compiler

Compiled 206048 to 144615 computations (29.8% saved)

preprocess18.5s (3.6%)

Algorithm
57×egg-herbie
Rules
62588×fma-def
24180×fma-neg
20450×distribute-lft-in
19552×distribute-rgt-in
18588×sub-neg
Stop Event
21×saturated
36×node limit
Compiler

Compiled 33260 to 16366 computations (50.8% saved)

bsearch8.4s (1.6%)

Algorithm
337×binary-search
50×left-value
Stop Event
319×narrow-enough
18×predicate-same
Results
4.4s25886×body256valid
1.1s2496×body1024infinite
1.1s6367×body256infinite
457.0ms1037×body1024valid
314.0ms1053×body512infinite
143.0ms461×body512valid
132.0ms361×body2048valid
92.0ms69×body2048infinite
25.0ms62×body4096valid
Compiler

Compiled 71908 to 49268 computations (31.5% saved)

series7.0s (1.4%)

Counts
1222 → 22642
Calls

6243 calls:

TimeVariablePointExpression
99.0ms
x.im
@-inf
(cos.f64 (pow.f64 (cbrt.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) 3))
82.0ms
y.im
@0
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im)
77.0ms
x
@-inf
(exp.f64 (log1p.f64 (/.f64 (neg.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 x 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)))) (*.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (pow.f64 x 2))))))
74.0ms
re
@0
(cbrt.f64 (pow.f64 (*.f64 1/2 (-.f64 (hypot.f64 re im) re)) 3/2))
70.0ms
x.im
@0
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))

analyze1.5s (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)

end9.0ms (0%)

Profiling

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