Herbie run

Date:Thursday, February 15th, 2024
Commit:aa763581 on add-id-expand-rule
Hostname:nightly with Racket 8.11.1
Seed:2024046
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: 11.3min)

sample2.8min (24.8%)

Results
1.2min373288×256valid
12.7s72111×256infinite
6.4s10567×1024valid
1.1min7793×8192exit
2.5s7143×512valid
701.0ms4684×256unsamplable
3.4s4420×512infinite
1.2s1875×2048valid
727.0ms1111×4096valid
105.0ms528×256invalid
93.0ms90×1024infinite
Bogosity

localize2.2min (19.2%)

Compiler

Compiled 49444 to 28217 computations (42.9% saved)

soundness1.6min (13.8%)

Rules
222205×fma-define
212241×add0
165868×fma-neg
113427×distribute-rgt-in
108772×associate-*r*
Stop Event
13×saturated
355×node limit
14×unsound
Compiler

Compiled 37191 to 22221 computations (40.3% saved)

eval1.2min (11%)

Compiler

Compiled 3260059 to 2070164 computations (36.5% saved)

simplify55.1s (8.1%)

Algorithm
226×egg-herbie
Rules
151491×add0
105405×fma-define
79995×+-commutative
74508×fma-neg
73727×distribute-rgt-in
Stop Event
57×saturated
161×node limit
35×fuel
unsound
22×done
Counts
76741 → 66639
Compiler

Compiled 10170 to 6668 computations (34.4% saved)

rewrite38.0s (5.6%)

Algorithm
169×batch-egg-rewrite
Rules
105022×log1p-expm1-u
78325×expm1-log1p-u
60566×prod-diff
59091×fma-define
52109×log-prod
Stop Event
163×node limit
unsound
Counts
1287 → 52632

preprocess37.8s (5.6%)

Algorithm
57×egg-herbie
Rules
63307×fma-neg
47550×fma-define
21899×add0
20029×distribute-rgt-in
19676×distribute-lft-neg-in
Stop Event
21×saturated
36×node limit
Compiler

Compiled 47967 to 26454 computations (44.8% saved)

prune26.3s (3.9%)

Counts
95743 → 2763
Compiler

Compiled 122965 to 84220 computations (31.5% saved)

regimes25.1s (3.7%)

Counts
6131 → 710
Calls

132 calls:

3.3s
y.re
2.7s
y.im
2.4s
x.im
2.0s
x.re
1.8s
im
Compiler

Compiled 6477 to 4350 computations (32.8% saved)

series16.7s (2.5%)

Counts
1287 → 24109
Calls

6360 calls:

TimeVariablePointExpression
418.0ms
i
@0
(*.f64 1/2 (/.f64 (-.f64 beta alpha) i))
276.0ms
x.im
@-inf
(log.f64 (*.f64 (*.f64 (atan2.f64 x.im x.re) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
213.0ms
base
@-inf
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
207.0ms
alpha
@-inf
(/.f64 (+.f64 (*.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) (+.f64 beta (*.f64 2 i))) (pow.f64 (+.f64 2 (+.f64 beta (*.f64 2 i))) 2)) (pow.f64 alpha 2))
174.0ms
y.im
@0
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))

bsearch8.1s (1.2%)

Algorithm
289×binary-search
55×left-value
Stop Event
10×predicate-same
279×narrow-enough
Results
5.0s25413×256valid
1.2s6027×256infinite
707.0ms719×512infinite
148.0ms514×1024valid
119.0ms287×2048valid
90.0ms286×512valid
69.0ms140×4096valid
40.0ms38×1024infinite
Compiler

Compiled 61790 to 42916 computations (30.5% saved)

analyze4.5s (0.7%)

Algorithm
58×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%86.3%13.7%0%0%0%0
55.6%48%38.3%13.7%0%0%0%1
64.1%54.2%30.4%13.7%0%1.7%0%2
72%59%23%13.7%0%4.3%0%3
77.8%62.3%17.8%13.7%0%6.2%0%4
83.7%67%13%13.7%0%6.3%0%5
85.9%68.4%11.2%13.7%0%6.6%0%6
88.3%70.3%9.3%13.7%0%6.6%0%7
90%71.6%8%13.7%0%6.8%0%8
91.2%72.5%7%13.7%0%6.8%0%9
92.6%73.6%5.9%13.7%0%6.8%0%10
94%74.7%4.8%13.7%0%6.8%0%11
94.5%75.1%4.4%13.7%0%6.9%0%12
Compiler

Compiled 1558 to 1007 computations (35.4% saved)

end29.0ms (0%)

Profiling

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