Herbie run

Date:Monday, August 28th, 2023
Commit:5f639494 on main
Hostname:nightly with Racket 8.6
Seed:2023240
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: 8.0min)

sample2.3min (28.7%)

Results
54.7s7898×body8192exit
54.1s365597×body256valid
9.7s64548×body256infinite
7.1s15810×body1024valid
4.3s8425×body1024infinite
2.9s8845×body512valid
1.4s2346×body2048valid
1.2s3865×body512infinite
884.0ms4788×body256invalid
567.0ms4512×body256unsamplable
463.0ms1054×body4096valid
172.0ms127×body2048infinite
Bogosity

localize1.4min (17%)

Compiler

Compiled 45697 to 24913 computations (45.5% saved)

soundness1.1min (14.2%)

Rules
244946×fma-def
136896×associate-*r*
121750×*-commutative
120912×fma-neg
120546×log-prod
Stop Event
unsound
19×saturated
355×node limit
Compiler

Compiled 37476 to 22498 computations (40% saved)

eval55.8s (11.6%)

Compiler

Compiled 3072444 to 1832475 computations (40.4% saved)

simplify39.2s (8.1%)

Algorithm
279×egg-herbie
Rules
167734×fma-def
95530×associate-*r*
87488×fma-neg
86832×times-frac
83780×distribute-lft-in
Stop Event
unsound
84×saturated
17×done
40×fuel
189×node limit
Counts
61990 → 55943
Compiler

Compiled 12002 to 7474 computations (37.7% saved)

regimes24.0s (5%)

Counts
6425 → 837
Calls

132 calls:

2.2s
x.re
2.2s
y.re
2.0s
im
1.7s
x.im
1.5s
x
Compiler

Compiled 106198 to 61343 computations (42.2% saved)

prune21.2s (4.4%)

Counts
78777 → 2965
Compiler

Compiled 207902 to 145495 computations (30% saved)

rewrite19.3s (4%)

Algorithm
165×batch-egg-rewrite
Rules
107848×pow1
102698×add-exp-log
102450×log1p-expm1-u
102432×expm1-log1p-u
98792×add-log-exp
Stop Event
unsound
162×node limit
Counts
1275 → 37158

bsearch12.5s (2.6%)

Algorithm
411×binary-search
46×left-value
Stop Event
388×narrow-enough
23×predicate-same
Results
6.2s32767×body256valid
1.9s3342×body1024infinite
1.1s7354×body256infinite
767.0ms1806×body1024valid
578.0ms1625×body512infinite
527.0ms1458×body512valid
273.0ms163×body2048infinite
76.0ms179×body2048valid
16.0ms42×body4096valid
Compiler

Compiled 85423 to 60489 computations (29.2% saved)

preprocess11.0s (2.3%)

Algorithm
57×egg-herbie
Rules
55988×fma-def
22788×fma-neg
19448×distribute-lft-in
18620×distribute-rgt-in
16356×sub-neg
Stop Event
23×saturated
34×node limit
Compiler

Compiled 29080 to 15723 computations (45.9% saved)

series7.9s (1.7%)

Counts
1275 → 24775
Calls

6414 calls:

TimeVariablePointExpression
119.0ms
x.im
@0
(*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re))
100.0ms
im
@0
(log.f64 (/.f64 (log.f64 im) (log.f64 10)))
85.0ms
alpha
@-inf
(/.f64 (*.f64 i (/.f64 (+.f64 (+.f64 beta alpha) i) (-.f64 (+.f64 (*.f64 4 (/.f64 i (+.f64 i alpha))) (+.f64 (*.f64 2 (/.f64 alpha (+.f64 i alpha))) (/.f64 beta (+.f64 i alpha)))) (/.f64 i (+.f64 i alpha))))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) 1))
84.0ms
im
@0
(/.f64 (log.f64 im) (log.f64 10))
81.0ms
im
@-inf
(log1p.f64 (*.f64 (exp.f64 re) (sin.f64 im)))

analyze2.0s (0.4%)

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)

end10.0ms (0%)

Profiling

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