ln(1 + x)

Details

Time bar (total: 5.2s)

analyze1.1s (20.6%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%199.9%-99.9%0%0%0%1
0%0%399.8%-299.8%0%0%0%2
0%0%799.6%-699.6%0%0%0%3
0%0%1599.2%-1499.2%0%0%0%4
0%0%3198.4%-3098.4%0%0%0%5
0%0%6396.9%-6296.9%0%0%0%6
0%0%12793.8%-12693.8%0%0%0%7
0%0%25587.5%-25487.5%0%0%0%8
0%0%51175%-51075%0%0%0%9
0%0%102350%-102250%0%0%0%10
0%0%204700%-204600%0%0%0%11
0%0%409400%-409300%0%0%0%12
Compiler

Compiled 6 to 5 computations (16.7% saved)

sample3.7s (71%)

Results
1.2s3810×body256valid
1.1s2697×body256invalid
873.0ms2776×body1024valid
315.0ms1379×body512valid
108.0ms291×body2048valid
Bogosity

preprocess16.0ms (0.3%)

Algorithm
egg-herbie
Rules
1-exp
log1p-def
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075
1115
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(log.f64 (+.f64 1 x))
Outputs
(log.f64 (+.f64 1 x))
(log1p.f64 x)
Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify29.0ms (0.6%)

Algorithm
egg-herbie
Rules
1-exp
log1p-def
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075
1115
Stop Event
saturated
Counts
1 → 2
Calls
Call 1
Inputs
(log.f64 (+.f64 1 x))
Outputs
(log.f64 (+.f64 1 x))
(log1p.f64 x)

eval1.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Accurracy
100.0%
Counts
3 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(log1p.f64 x)
100.0%
(log1p.f64 x)
Compiler

Compiled 6 to 4 computations (33.3% saved)

localize117.0ms (2.2%)

Compiler

Compiled 5 to 3 computations (40% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune4.0ms (0.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done000
Total011
Accurracy
100.0%
Counts
1 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(log1p.f64 x)
Compiler

Compiled 10 to 7 computations (30% saved)

regimes36.0ms (0.7%)

Accuracy

Total -37.2b remaining (-∞%)

Threshold costs -37.2b (-∞%)

Counts
2 → 1
Calls
Call 1
Inputs
(log1p.f64 x)
(log.f64 (+.f64 1 x))
Outputs
(log1p.f64 x)
Calls

3 calls:

16.0ms
(+.f64 1 x)
11.0ms
x
7.0ms
(log.f64 (+.f64 1 x))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(log.f64 (+.f64 1 x))
100.0%1(+.f64 1 x)
Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify10.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
Stop Event
done
saturated
Calls
Call 1
Inputs
(log1p.f64 x)
Outputs
(log1p.f64 x)
Compiler

Compiled 3 to 2 computations (33.3% saved)

soundness104.0ms (2%)

Rules
1-exp
log1p-def
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075
1115
Stop Event
saturated
Compiler

Compiled 7 to 5 computations (28.6% saved)

end121.0ms (2.3%)

Compiler

Compiled 56 to 42 computations (25% saved)

Profiling

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