Herbie run

Date:Saturday, May 11th, 2024
Commit:66dd3019 on main
Hostname:nightly with Racket 8.11.1
Seed:2024132
Parameters:256 points for 4 iterations
Flags:
localize:costslocalize:errorsreduce: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: 6.4s)

sample3.9s (60.2%)

Results
1.5s5843×2valid
894.0ms9678×1valid
366.0ms8675×0valid
191.0ms572×3valid
Precisions
Click to see histograms. Total time spent on operations: 1.8s
ival-add: 700.0ms (40% of total)
ival-sub: 595.0ms (34% of total)
backward-pass: 324.0ms (18.5% of total)
ival-mult: 97.0ms (5.5% of total)
const: 34.0ms (1.9% of total)
Bogosity

soundness896.0ms (14%)

Rules
4138×fma-neg
1392×associate-+r+
1340×associate-+l+
1276×unsub-neg
1245×associate-+r-
Stop Event
1×saturated
3×node limit
3×done
Compiler

Compiled 189 to 71 computations (62.4% saved)

preprocess633.0ms (9.9%)

Algorithm
3×egg-herbie
Rules
4083×fma-neg
1392×associate-+r+
1340×associate-+l+
1276×unsub-neg
1244×associate-+r-
Stop Event
1×saturated
2×node limit
Compiler

Compiled 252 to 192 computations (23.8% saved)

explain284.0ms (4.4%)

Results
85.0ms376×2valid
70.0ms600×1valid
25.0ms530×0valid
9.0ms30×3valid
Compiler

Compiled 168 to 57 computations (66.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 91.0ms
ival-add: 44.0ms (48.5% of total)
backward-pass: 25.0ms (27.6% of total)
ival-sub: 14.0ms (15.4% of total)
ival-mult: 6.0ms (6.6% of total)
const: 2.0ms (2.2% of total)

rewrite247.0ms (3.9%)

Algorithm
2×batch-egg-rewrite
Rules
717×log1p-expm1-u
717×expm1-log1p-u
687×add-exp-log
663×add-log-exp
657×add-cube-cbrt
Stop Event
2×node limit
Counts
5 → 188

simplify213.0ms (3.3%)

Algorithm
9×egg-herbie
Rules
1096×fma-neg
1010×fma-define
879×distribute-lft-in
807×distribute-rgt-in
766×prod-exp
Stop Event
7×saturated
2×node limit
Counts
248 → 261

eval113.0ms (1.8%)

Compiler

Compiled 3361 to 822 computations (75.5% saved)

localize57.0ms (0.9%)

Results
38.0ms1024×0valid
Compiler

Compiled 42 to 19 computations (54.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 6.0ms (50% of total)
ival-fma: 3.0ms (25% of total)
ival-add: 2.0ms (16.7% of total)
const: 1.0ms (8.3% of total)
backward-pass: 0.0ms (0% of total)

prune37.0ms (0.6%)

Counts
293 → 10
Compiler

Compiled 109 to 66 computations (39.4% saved)

regimes33.0ms (0.5%)

Counts
16 → 8
Calls

8 calls:

9.0ms
x
8.0ms
y
4.0ms
(+.f64 x #s(literal 1 binary64))
3.0ms
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
3.0ms
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
Compiler

Compiled 86 to 50 computations (41.9% saved)

bsearch23.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Results
13.0ms288×0valid
Compiler

Compiled 194 to 134 computations (30.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-add: 2.0ms (35.3% of total)
ival-mult: 2.0ms (35.3% of total)
ival-sub: 1.0ms (17.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series7.0ms (0.1%)

Counts
5 → 60
Calls

15 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(* x (+ x 2))
1.0ms
x
@inf
(* x 2)
1.0ms
x
@inf
(* x (+ x 2))
0.0ms
x
@-inf
(* x 2)
0.0ms
x
@0
(* x (+ x 2))

analyze4.0ms (0.1%)

Algorithm
3×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 33 to 20 computations (39.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-sub: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

end0.0ms (0%)

Profiling

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