Herbie run

Date:Friday, August 18th, 2023
Commit:5f639494 on main
Hostname:nightly with Racket 8.6
Seed:2023230
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: 45.1s)

sample11.2s (24.9%)

Results
8.5s62945×body256valid
1.4s4167×body2048valid
860.0ms7192×body256infinite
325.0ms1835×body256invalid
Bogosity

localize8.8s (19.4%)

Compiler

Compiled 6326 to 3248 computations (48.7% saved)

eval7.5s (16.7%)

Compiler

Compiled 428946 to 262285 computations (38.9% saved)

soundness4.6s (10.2%)

Rules
27116×fma-def
12492×associate-*r*
12466×times-frac
10812×associate-*l*
7842×distribute-rgt-in
Stop Event
saturated
25×node limit
Compiler

Compiled 3372 to 2013 computations (40.3% saved)

simplify3.6s (7.9%)

Algorithm
37×egg-herbie
Rules
28510×fma-def
13790×associate-*r*
12454×times-frac
10310×associate-*l*
9376×fma-neg
Stop Event
16×saturated
done
fuel
21×node limit
Counts
5810 → 5741
Compiler

Compiled 970 to 620 computations (36.1% saved)

prune2.9s (6.3%)

Counts
10850 → 302
Compiler

Compiled 24361 to 15966 computations (34.5% saved)

rewrite1.8s (4%)

Algorithm
18×batch-egg-rewrite
Rules
12894×pow1
12150×add-exp-log
12142×expm1-log1p-u
12142×log1p-expm1-u
12042×add-log-exp
Stop Event
18×node limit
Counts
124 → 3585

regimes1.6s (3.6%)

Counts
369 → 67
Calls

19 calls:

265.0ms
a
247.0ms
b
221.0ms
x
203.0ms
c
124.0ms
y
Compiler

Compiled 7939 to 4487 computations (43.5% saved)

preprocess1.1s (2.5%)

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 2387 to 1382 computations (42.1% saved)

series750.0ms (1.7%)

Counts
124 → 2216
Calls

774 calls:

TimeVariablePointExpression
90.0ms
x
@inf
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
45.0ms
c
@0
(-.f64 (neg.f64 b) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))
32.0ms
a
@inf
(*.f64 (/.f64 -1/2 a) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -4))))))
26.0ms
c
@inf
(-.f64 b (pow.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 3))
22.0ms
c
@-inf
(-.f64 b (pow.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 c -4))))) 3))

bsearch713.0ms (1.6%)

Algorithm
32×binary-search
Stop Event
28×narrow-enough
predicate-same
Results
472.0ms3800×body256valid
48.0ms392×body256infinite
13.0ms101×body256invalid
Compiler

Compiled 8819 to 6197 computations (29.7% saved)

analyze480.0ms (1.1%)

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

Loading profile data...