Herbie run

Date:Wednesday, July 19th, 2023
Commit:687f458a on main
Hostname:nightly with Racket 8.6
Seed:2023200
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: 53.3s)

localize12.1s (22.8%)

Compiler

Compiled 7048 to 3645 computations (48.3% saved)

sample10.8s (20.2%)

Results
8.2s63000×body256valid
1.2s4148×body2048valid
868.0ms7156×body256infinite
308.0ms1883×body256invalid
Bogosity

eval9.4s (17.6%)

Compiler

Compiled 578377 to 350782 computations (39.4% saved)

soundness5.8s (10.9%)

Rules
43600×fma-def
21138×associate-*r*
18058×times-frac
12666×distribute-rgt-in
12646×distribute-lft-in
Stop Event
saturated
32×node limit
Compiler

Compiled 2728 to 1656 computations (39.3% saved)

simplify4.5s (8.5%)

Algorithm
39×egg-herbie
Rules
34678×fma-def
15190×times-frac
14502×associate-*r*
11572×distribute-lft-in
11448×distribute-rgt-in
Stop Event
15×saturated
done
fuel
24×node limit
Counts
7482 → 7095
Compiler

Compiled 978 to 645 computations (34% saved)

prune3.7s (6.9%)

Counts
13186 → 364
Compiler

Compiled 32823 to 21439 computations (34.7% saved)

rewrite2.2s (4.1%)

Algorithm
21×batch-egg-rewrite
Rules
14588×pow1
13796×add-exp-log
13790×expm1-log1p-u
13790×log1p-expm1-u
13688×add-log-exp
Stop Event
21×node limit
Counts
148 → 4353

regimes1.9s (3.5%)

Counts
456 → 78
Calls

23 calls:

361.0ms
x
313.0ms
y
210.0ms
c
201.0ms
b
169.0ms
a
Compiler

Compiled 8366 to 4731 computations (43.4% saved)

preprocess1.2s (2.2%)

Algorithm
egg-herbie
Rules
5828×div-sub
5698×fma-neg
5666×fma-def
4786×times-frac
3022×associate-/r*
Stop Event
saturated
node limit
Compiler

Compiled 2379 to 1416 computations (40.5% saved)

series720.0ms (1.4%)

Counts
148 → 3120
Calls

1020 calls:

TimeVariablePointExpression
44.0ms
y
@inf
(/.f64 (-.f64 y (*.f64 (/.f64 y (+.f64 x 4)) (*.f64 x z))) (*.f64 (/.f64 y (+.f64 x 4)) y))
23.0ms
f
@inf
(pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 3)
22.0ms
c
@-inf
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
13.0ms
b
@-inf
(*.f64 (/.f64 -1/2 a) (+.f64 b (+.f64 b (*.f64 -2 (/.f64 (*.f64 c a) b)))))
13.0ms
a
@inf
(/.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 c (*.f64 a -4)))) (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b)) c)

bsearch623.0ms (1.2%)

Algorithm
39×binary-search
Stop Event
31×narrow-enough
predicate-same
Results
469.0ms4196×body256valid
72.0ms556×body256infinite
4.0ms28×body256invalid
Compiler

Compiled 8633 to 6210 computations (28.1% saved)

analyze457.0ms (0.9%)

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)

end0.0ms (0%)

Profiling

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