ln(1 + x)

Time bar (total: 3.1s)

analyze2.0ms (0.1%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
66.7%50%25%0%0%25%0%3
83.3%62.5%12.5%0%0%25%0%4
91.7%68.7%6.2%0%0%25%0%5
95.8%71.8%3.1%0%0%25%0%6
97.9%73.4%1.6%0%0%25%0%7
99%74.2%0.8%0%0%25%0%8
99.5%74.6%0.4%0%0%25%0%9
99.7%74.8%0.2%0%0%25%0%10
99.9%74.9%0.1%0%0%25%0%11
99.9%74.9%0%0%0%25%0%12
Compiler

Compiled 6 to 5 computations (16.7% saved)

sample2.7s (88.5%)

Results
467.0ms3965×256valid
1.7s2777×1024valid
278.0ms1335×512valid
295.0ms179×2048valid
Bogosity

preprocess251.0ms (8.2%)

Algorithm
egg-herbie
Rules
104×fma-def
42×sub-neg
22×cancel-sign-sub-inv
20×associate-+l-
18×distribute-lft-neg-in
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1550-0-(log.f64 (+.f64 1 x))
00-0-x
00-0-(+.f64 1 x)
00-0-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01344
12844
23744
34644
46044
57744
611044
714544
816344
918644
1020044
1123544
1225044
1325544
1425644
Stop Event
saturated
Calls
Call 1
Inputs
(log.f64 (+.f64 1 x))
(log.f64 (+.f64 1 x))
(log.f64 (+.f64 1 (neg.f64 x)))
(neg.f64 (log.f64 (+.f64 1 (neg.f64 x))))
Outputs
(log.f64 (+.f64 1 x))
(log1p.f64 x)
(log.f64 (+.f64 1 x))
(log1p.f64 x)
(log.f64 (+.f64 1 (neg.f64 x)))
(log1p.f64 (neg.f64 x))
(neg.f64 (log.f64 (+.f64 1 (neg.f64 x))))
(neg.f64 (log1p.f64 (neg.f64 x)))
Compiler

Compiled 27 to 20 computations (25.9% saved)

eval0.0ms (0%)

Compiler

Compiled 3 to 2 computations (33.3% saved)

prune1.0ms (0%)

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)

localize19.0ms (0.6%)

Compiler

Compiled 5 to 3 computations (40% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

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%
(log1p.f64 x)
Compiler

Compiled 10 to 7 computations (30% saved)

regimes9.0ms (0.3%)

Accuracy

Total -35.3b remaining (-∞%)

Threshold costs -35.3b (-∞%)

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

3 calls:

3.0ms
x
2.0ms
(+.f64 1 x)
2.0ms
(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)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
Stop Event
done
saturated
Calls
Call 1
Inputs
(log1p.f64 x)
Outputs
(log1p.f64 x)
Compiler

Compiled 3 to 2 computations (33.3% saved)

soundness24.0ms (0.8%)

Rules
104×fma-def
42×sub-neg
22×cancel-sign-sub-inv
20×associate-+l-
18×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01344
12844
23744
34644
46044
57744
611044
714544
816344
918644
1020044
1123544
1225044
1325544
1425644
Stop Event
saturated
Compiler

Compiled 7 to 5 computations (28.6% saved)

end0.0ms (0%)

preprocess43.0ms (1.4%)

Compiler

Compiled 56 to 42 computations (25% saved)

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