Exp of sum of logs

Time bar (total: 1.2s)

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)

sample992.0ms (82.5%)

Results
667.0ms7199×0valid
101.0ms1057×0infinite
Precisions
Click to see histograms. Total time spent on operations: 375.0ms
ival-log: 223.0ms (59.4% of total)
ival-exp: 91.0ms (24.2% of total)
ival-add: 50.0ms (13.3% of total)
const: 8.0ms (2.1% of total)
backward-pass: 4.0ms (1.1% of total)
Bogosity

preprocess40.0ms (3.4%)

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)

explain88.0ms (7.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
15014(3.034464390182215e-193 2.2876809220606798e-122)16(1.760365192796004e-85 1.5620863848070434e+58)(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
20-1(4.8638408454987695e-171 2.0051558876867372e+173)(+.f64 (log.f64 a) (log.f64 b))
00-0-(log.f64 b)
00-0-(log.f64 a)
00-0-b
00-0-a
Results
52.0ms436×256valid
9.0ms76×256infinite
Compiler

Compiled 48 to 20 computations (58.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-log: 18.0ms (64.5% of total)
ival-exp: 6.0ms (21.5% of total)
ival-add: 3.0ms (10.7% of total)
const: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 5 to 3 computations (40% saved)

prune1.0ms (0.1%)

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

Compiled 5 to 3 computations (40% saved)

localize19.0ms (1.6%)

Results
12.0ms218×256valid
2.0ms38×256infinite
Compiler

Compiled 8 to 4 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-mult: 2.0ms (88.8% of total)
const: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0.1%)

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)

regimes10.0ms (0.9%)

Accuracy

Total -4.8b remaining (-∞%)

Threshold costs -4.8b (-∞%)

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:

3.0ms
(log.f64 b)
2.0ms
(log.f64 a)
1.0ms
(+.f64 (log.f64 a) (log.f64 b))
1.0ms
b
1.0ms
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)

soundness15.0ms (1.2%)

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)

preprocess33.0ms (2.8%)

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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