Metrics for expm1 (example 3.7)

analyze2.0ms (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
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	50%	0%	0%	0%	3
50%	25%	25%	50%	0%	0%	0%	4
75%	37.5%	12.5%	50%	0%	0%	0%	5
87.5%	43.7%	6.2%	50%	0%	0%	0%	6
93.8%	46.9%	3.1%	50%	0%	0%	0%	7
96.9%	48.4%	1.6%	50%	0%	0%	0%	8
98.4%	49.2%	0.8%	50%	0%	0%	0%	9
99.2%	49.6%	0.4%	50%	0%	0%	0%	10
99.6%	49.8%	0.2%	50%	0%	0%	0%	11
99.8%	49.9%	0.1%	50%	0%	0%	0%	12

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample1.6s (86.1%)

Results

958.0ms	4161×	body	1024	valid
323.0ms	2027×	body	512	valid
151.0ms	1637×	body	256	valid
107.0ms	431×	body	2048	valid
1.0ms	13×	body	256	precondition

Bogosity

preprocess106.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

1258×	`fma-neg`
876×	`associate-r`
868×	`unswap-sqr`
792×	`*-commutative`
656×	`associate-l`

Problems

255×	`(-.f64 (exp.f64 x) 1)`
1×	No Errors

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	23	28
2	29	28
3	37	28
4	60	28
5	111	28
6	254	28
7	699	28
8	2651	28
9	6715	28

Stop Event

1×	node limit

Calls

Call 1

Inputs
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 (neg.f64 x)) 1)

Outputs
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 (neg.f64 x)) 1)
(expm1.f64 (neg.f64 x))

Compiler

Compiled 15 to 10 computations (33.3% saved)

eval0.0ms (0%)

Compiler: Compiled 3 to 2 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(expm1.f64 x)
▶	100.0%	(expm1.f64 x)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize16.0ms (0.9%)

Compiler: Compiled 5 to 3 computations (40% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0.1%)

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

Accuracy

100.0%

Counts

1 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(expm1.f64 x)

Compiler

Compiled 10 to 7 computations (30% saved)

regimes7.0ms (0.4%)

Accuracy

Total -58.6b remaining (-∞%)

Threshold costs -58.6b (-∞%)

Counts

2 → 1

Calls

Call 1

Inputs
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)

Outputs
(expm1.f64 x)

Calls

3 calls:

3.0ms	x
2.0ms	(-.f64 (exp.f64 x) 1)
2.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(-.f64 (exp.f64 x) 1)`
100.0%	1	`(exp.f64 x)`

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(expm1.f64 x)

Outputs
(expm1.f64 x)

Compiler

Compiled 3 to 2 computations (33.3% saved)

soundness80.0ms (4.5%)

Rules

1258×	`fma-neg`
876×	`associate-r`
868×	`unswap-sqr`
792×	`*-commutative`
656×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	23	28
2	29	28
3	37	28
4	60	28
5	111	28
6	254	28
7	699	28
8	2651	28
9	6715	28

Stop Event

1×	node limit

Compiler

Compiled 7 to 5 computations (28.6% saved)

end0.0ms (0%)

preprocess35.0ms (1.9%)

Compiler: Compiled 22 to 16 computations (27.3% saved)

analyze2.0ms (0.1%)

sample1.6s (86.1%)

preprocess106.0ms (5.9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize16.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0.1%)

regimes7.0ms (0.4%)

simplify1.0ms (0.1%)

soundness80.0ms (4.5%)

end0.0ms (0%)

preprocess35.0ms (1.9%)

Profiling