Metrics for ln(1 + x)

analyze1.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
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)

sample2.5s (95.3%)

Results

1.6s	2726×	body	1024	valid
434.0ms	1424×	body	512	valid
388.0ms	3845×	body	256	valid
125.0ms	261×	body	2048	valid
0.0ms	2×	body	256	invalid

Bogosity

preprocess14.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

2×	`1-exp`
2×	`log1p-def`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	5
1	11	5
0	1	1

Stop Event

1×	saturated
1×	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)

simplify11.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

2×	`1-exp`
2×	`log1p-def`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	5
1	11	5

Stop Event

1×

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)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Accurracy

100.0%

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(log1p.f64 x)
▶	100.0%	(log1p.f64 x)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize16.0ms (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)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	0	0
Total	1	1

Accurracy

100.0%

Counts

1 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log1p.f64 x)

Compiler

Compiled 10 to 7 computations (30% saved)

regimes9.0ms (0.4%)

Accuracy

Total -36.3b remaining (-∞%)

Threshold costs -36.3b (-∞%)

Counts

2 → 1

Calls

Call 1

Inputs
(log1p.f64 x)
(log.f64 (+.f64 1 x))

Outputs
(log1p.f64 x)

Calls

3 calls:

4.0ms	(+.f64 1 x)
3.0ms	x
2.0ms	(log.f64 (+.f64 1 x))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(log.f64 (+.f64 1 x))`
100.0%	1	`(+.f64 1 x)`

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(log1p.f64 x)

Outputs
(log1p.f64 x)

Compiler

Compiled 3 to 2 computations (33.3% saved)

soundness16.0ms (0.6%)

Rules

2×	`1-exp`
2×	`log1p-def`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	5
1	11	5

Stop Event

1×

saturated

Compiler

Compiled 7 to 5 computations (28.6% saved)

end47.0ms (1.8%)

Compiler: Compiled 56 to 42 computations (25% saved)

analyze1.0ms (0.1%)

sample2.5s (95.3%)

preprocess14.0ms (0.5%)

simplify11.0ms (0.4%)

eval1.0ms (0%)

prune1.0ms (0%)

localize16.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

regimes9.0ms (0.4%)

simplify4.0ms (0.1%)

soundness16.0ms (0.6%)

end47.0ms (1.8%)

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