Herbie run

Date:Thursday, May 23rd, 2024
Commit:7841f259 on main
Hostname:nightly with Racket 8.11.1
Seed:2024144
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: 6.3s)

sample3.8s (61.1%)

Results
1.7s5841×2valid
971.0ms9682×1valid
351.0ms8647×0valid
144.0ms598×3valid
Precisions
Click to see histograms. Total time spent on operations: 1.6s
ival-add: 893.0ms (54.3% of total)
backward-pass: 378.0ms (23% of total)
ival-sub: 245.0ms (14.9% of total)
ival-mult: 93.0ms (5.7% of total)
const: 34.0ms (2.1% of total)
Bogosity

soundness790.0ms (12.6%)

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

Compiled 164 to 62 computations (62.2% saved)

preprocess633.0ms (10.1%)

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 240 to 190 computations (20.8% saved)

explain292.0ms (4.7%)

Results
93.0ms388×2valid
78.0ms582×1valid
24.0ms532×0valid
10.0ms34×3valid
Compiler

Compiled 168 to 57 computations (66.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 96.0ms
ival-add: 40.0ms (41.6% of total)
backward-pass: 34.0ms (35.4% of total)
ival-sub: 14.0ms (14.6% of total)
ival-mult: 6.0ms (6.2% of total)
const: 2.0ms (2.1% of total)

rewrite248.0ms (4%)

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

simplify205.0ms (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

eval114.0ms (1.8%)

Compiler

Compiled 3361 to 822 computations (75.5% saved)

localize65.0ms (1%)

Results
47.0ms1024×0valid
Compiler

Compiled 42 to 19 computations (54.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 6.0ms (47.2% of total)
ival-fma: 4.0ms (31.5% of total)
ival-add: 2.0ms (15.7% of total)
const: 1.0ms (7.9% of total)
backward-pass: 0.0ms (0% of total)

prune36.0ms (0.6%)

Counts
293 → 10
Compiler

Compiled 109 to 66 computations (39.4% saved)

regimes20.0ms (0.3%)

Counts
12 → 7
Calls

8 calls:

7.0ms
x
2.0ms
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
2.0ms
(+.f64 x #s(literal 1 binary64))
2.0ms
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
1.0ms
z
Compiler

Compiled 62 to 37 computations (40.3% saved)

bsearch20.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Results
10.0ms256×0valid
Compiler

Compiled 174 to 120 computations (31% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 2.0ms (40% of total)
ival-sub: 1.0ms (20% of total)
ival-add: 1.0ms (20% 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 (+ x 2))
1.0ms
x
@inf
(* x 2)
0.0ms
x
@0
(* x 2)
0.0ms
x
@0
(* x (+ x 2))

analyze1.0ms (0%)

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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