Exp of sum of logs

Time bar (total: 2.2s)

analyze1.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%50%0.1%0%50%0%2
100%25%0%0.1%0%74.9%0%3
Compiler

Compiled 9 to 7 computations (22.2% saved)

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

sample1.8s (80%)

Results
1.3s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 990.0ms
ival-add: 663.0ms (67% of total)
ival-log: 237.0ms (23.9% of total)
ival-exp: 80.0ms (8.1% of total)
const: 7.0ms (0.7% of total)
backward-pass: 3.0ms (0.3% of total)
Bogosity

preprocess43.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
23×fma-define
16×fma-neg
14×distribute-lft-neg-in
9×neg-sub0
8×neg-mul-1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024183
14499
27799
311899
419199
521999
Stop Event
1×saturated
Calls
Call 1
Inputs
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
(exp.f64 (+.f64 (log.f64 (neg.f64 a)) (log.f64 b)))
(exp.f64 (+.f64 (log.f64 a) (log.f64 (neg.f64 b))))
(neg.f64 (exp.f64 (+.f64 (log.f64 (neg.f64 a)) (log.f64 b))))
(neg.f64 (exp.f64 (+.f64 (log.f64 a) (log.f64 (neg.f64 b)))))
(exp.f64 (+.f64 (log.f64 b) (log.f64 a)))
Outputs
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
(*.f64 b a)
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
(*.f64 b a)
(exp.f64 (+.f64 (log.f64 (neg.f64 a)) (log.f64 b)))
(exp.f64 (+.f64 (log.f64 b) (log.f64 (neg.f64 a))))
(*.f64 b (neg.f64 a))
(exp.f64 (+.f64 (log.f64 a) (log.f64 (neg.f64 b))))
(exp.f64 (+.f64 (log.f64 b) (log.f64 (neg.f64 a))))
(*.f64 b (neg.f64 a))
(neg.f64 (exp.f64 (+.f64 (log.f64 (neg.f64 a)) (log.f64 b))))
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
(*.f64 b a)
(neg.f64 (exp.f64 (+.f64 (log.f64 a) (log.f64 (neg.f64 b)))))
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
(*.f64 b a)
(exp.f64 (+.f64 (log.f64 b) (log.f64 a)))
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
(*.f64 b a)
Symmetry

(negabs a)

(negabs b)

(sort a b)

explain257.0ms (11.5%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
15327(1.1306475510131172e-301 1.892473767004814e-10)7(1.6084042052401235e-65 8.514209211383013e+30)(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
30-2(5.254101134566809e-238 7.4479752587926985e+230)(+.f64 (log.f64 a) (log.f64 b))
00-0-(log.f64 b)
00-0-(log.f64 a)
00-0-b
00-0-a
Results
187.0ms512×0valid
Compiler

Compiled 48 to 20 computations (58.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 167.0ms
ival-log: 158.0ms (94.4% of total)
ival-exp: 5.0ms (3% of total)
ival-add: 3.0ms (1.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 5 to 3 computations (40% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 b a)
Compiler

Compiled 5 to 3 computations (40% saved)

localize14.0ms (0.6%)

Results
9.0ms256×0valid
Compiler

Compiled 8 to 4 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (76% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune45.0ms (2%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done000
Total011
Accuracy
100.0%
Counts
1 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(*.f64 b a)
Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes9.0ms (0.4%)

Accuracy

Total -5.2b remaining (-∞%)

Threshold costs -5.2b (-∞%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 b a)
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
Outputs
(*.f64 b a)
Calls

6 calls:

1.0ms
(log.f64 b)
1.0ms
b
1.0ms
(+.f64 (log.f64 a) (log.f64 b))
1.0ms
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
1.0ms
(log.f64 a)
Results
AccuracySegmentsBranch
100.0%1a
100.0%1b
100.0%1(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
100.0%1(+.f64 (log.f64 a) (log.f64 b))
100.0%1(log.f64 a)
100.0%1(log.f64 b)
Compiler

Compiled 29 to 21 computations (27.6% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
1913
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 b a)
Outputs
(*.f64 b a)

soundness40.0ms (1.8%)

Rules
23×fma-define
16×fma-neg
14×distribute-lft-neg-in
9×neg-sub0
8×neg-mul-1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024183
14499
27799
311899
419199
521999
Stop Event
1×done
1×saturated
Compiler

Compiled 34 to 16 computations (52.9% saved)

preprocess35.0ms (1.6%)

Remove

(sort a b)

(negabs b)

(negabs a)

Compiler

Compiled 96 to 60 computations (37.5% saved)

end0.0ms (0%)

Profiling

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