Metrics for expm1 (example 3.7)

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
100%	50%	0%	50%	0%	0%	0%	1

Compiler

Compiled 9 to 7 computations (22.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

Operation ival-sub, time spent: 0.0ms, 0.0% of total-time

Operation ival-exp, time spent: 0.0ms, 0.0% of total-time

Operation ival-fabs, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

Operation ival-<=, time spent: 0.0ms, 0.0% of total-time

sample1.9s (86%)

Results

1000.0ms	4162×	1024	valid
297.0ms	2045×	512	valid
162.0ms	1793×	256	valid
70.0ms	255×	2048	valid
0.0ms	1×	512	valid

Precisions

Click to see histograms. Total time spent on operations: 905.0ms

Operation ival-exp, time spent: 540.0ms, 60.0% of total-time

Operation ival-sub, time spent: 136.0ms, 15.0% of total-time

Operation ival-<=, time spent: 119.0ms, 13.0% of total-time

Operation ival-fabs, time spent: 85.0ms, 9.0% of total-time

Operation const, time spent: 26.0ms, 3.0% of total-time

Bogosity

preprocess167.0ms (7.6%)

Algorithm

1×	egg-herbie

Rules

30×	`fma-neg`
28×	`fma-define`
28×	`sub-neg`
20×	`+-commutative`
10×	`*-commutative`

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
256	-	-	`(-.f64 (exp.f64 x) 1)`
0	-	-	`x`
0	-	-	`(exp.f64 x)`
0	-	-	`1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	29	44
2	48	44
3	70	44
4	91	44
5	118	44
6	138	44
7	157	44
8	175	44
9	182	44
10	183	44

Stop Event

1×

saturated

Calls

Call 1

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

Results

58.0ms	246×	1024	valid
20.0ms	126×	512	valid
12.0ms	126×	256	valid
3.0ms	13×	2048	valid
0.0ms	1×	2048	valid

Compiler

Compiled 25 to 16 computations (36% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

Operation ival-exp, time spent: 32.0ms, 75.0% of total-time

Operation ival-sub, time spent: 8.0ms, 19.0% of total-time

Operation const, time spent: 3.0ms, 7.0% of total-time

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)

Compiler

Compiled 3 to 2 computations (33.3% saved)

localize52.0ms (2.4%)

Results

26.0ms	120×	1024	valid
7.0ms	68×	256	valid
10.0ms	65×	512	valid
0.0ms	2×	2048	valid
0.0ms	1×	2048	valid

Compiler

Compiled 5 to 3 computations (40% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

Operation composed, time spent: 22.0ms, 51.0% of total-time

Operation ival-exp, time spent: 16.0ms, 37.0% of total-time

Operation ival-sub, time spent: 4.0ms, 9.0% of total-time

Operation const, time spent: 1.0ms, 2.0% of total-time

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

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)

regimes8.0ms (0.4%)

Accuracy

Total -58.1b remaining (-∞%)

Threshold costs -58.1b (-∞%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(expm1.f64 x)

Calls

3 calls:

4.0ms	(-.f64 (exp.f64 x) 1)
3.0ms	x
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 10 to 7 computations (30% saved)

simplify2.0ms (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)

soundness16.0ms (0.7%)

Rules

30×	`fma-neg`
28×	`fma-define`
28×	`sub-neg`
20×	`+-commutative`
10×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	29	44
2	48	44
3	70	44
4	91	44
5	118	44
6	138	44
7	157	44
8	175	44
9	182	44
10	183	44

Stop Event

1×

saturated

Compiler

Compiled 7 to 5 computations (28.6% saved)

end0.0ms (0%)

preprocess62.0ms (2.8%)

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

Iter	Nodes	Cost
0	13	44
1	29	44
2	48	44
3	70	44
4	91	44
5	118	44
6	138	44
7	157	44
8	175	44
9	182	44
10	183	44

Iter	Nodes	Cost
0	13	44
1	29	44
2	48	44
3	70	44
4	91	44
5	118	44
6	138	44
7	157	44
8	175	44
9	182	44
10	183	44

Iter	Nodes	Cost
0	13	44
1	29	44
2	48	44
3	70	44
4	91	44
5	118	44
6	138	44
7	157	44
8	175	44
9	182	44
10	183	44

Iter	Nodes	Cost
0	13	44
1	29	44
2	48	44
3	70	44
4	91	44
5	118	44
6	138	44
7	157	44
8	175	44
9	182	44
10	183	44

analyze0.0ms (0%)

sample1.9s (86%)

preprocess167.0ms (7.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize52.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

regimes8.0ms (0.4%)

simplify2.0ms (0.1%)

soundness16.0ms (0.7%)

end0.0ms (0%)

preprocess62.0ms (2.8%)

Profiling

Iter	Nodes	Cost
0	13	44
1	29	44
2	48	44
3	70	44
4	91	44
5	118	44
6	138	44
7	157	44
8	175	44
9	182	44
10	183	44

Iter	Nodes	Cost
0	13	44
1	29	44
2	48	44
3	70	44
4	91	44
5	118	44
6	138	44
7	157	44
8	175	44
9	182	44
10	183	44