Exp of sum of logs

Time bar (total: 1.5s)

analyze1.0ms (0%)

Algorithm
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
Operation ival-log, time spent: 0.0ms, 0.0% of total-time
Operation ival-add, time spent: 0.0ms, 0.0% of total-time
Operation ival-exp, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

sample1.3s (84.4%)

Results
918.0ms7295×256valid
116.0ms961×256infinite
Precisions
Click to see histograms. Total time spent on operations: 566.0ms
Operation ival-log, time spent: 327.0ms, 58.0% of total-time
Operation ival-exp, time spent: 162.0ms, 29.0% of total-time
Operation ival-add, time spent: 68.0ms, 12.0% of total-time
Operation const, time spent: 9.0ms, 2.0% of total-time
Bogosity

preprocess135.0ms (8.9%)

Algorithm
egg-herbie
Rules
23×fma-define
16×fma-neg
14×distribute-lft-neg-in
neg-sub0
neg-mul-1
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
15317(7.800977778960493e+82 2.5556793691324404e+140)6(2.4153322279461395e-234 5.400806616349657e+196)(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
00-0-(log.f64 b)
01(1.5732463316357692e-184 6.275325286283729e+182)0-(+.f64 (log.f64 a) (log.f64 b))
00-0-(log.f64 a)
00-0-b
00-0-a
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024183
14499
27799
311899
419199
521999
Stop Event
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)

Results
59.0ms446×256valid
8.0ms66×256infinite
Compiler

Compiled 48 to 20 computations (58.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
Operation ival-log, time spent: 18.0ms, 60.0% of total-time
Operation ival-exp, time spent: 7.0ms, 23.0% of total-time
Operation ival-add, time spent: 5.0ms, 17.0% of total-time
Operation const, time spent: 1.0ms, 3.0% of total-time

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)

localize31.0ms (2%)

Results
23.0ms223×256valid
2.0ms33×256infinite
Compiler

Compiled 8 to 4 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
Operation ival-mult, time spent: 2.0ms, 77.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

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)

regimes13.0ms (0.8%)

Accuracy

Total -5.0b remaining (-∞%)

Threshold costs -5b (-∞%)

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:

6.0ms
(log.f64 a)
1.0ms
(+.f64 (log.f64 a) (log.f64 b))
1.0ms
(log.f64 b)
1.0ms
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
1.0ms
b
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
egg-herbie
Rules
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 5 to 3 computations (40% saved)

soundness15.0ms (1%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
024183
14499
27799
311899
419199
521999
Stop Event
saturated
Compiler

Compiled 29 to 13 computations (55.2% saved)

end0.0ms (0%)

preprocess40.0ms (2.6%)

Remove

(sort a b)

(negabs b)

(negabs a)

Compiler

Compiled 96 to 60 computations (37.5% saved)

Profiling

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