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

sample2.6s (88.1%)

Results

1.5s	4168×	1024	valid
362.0ms	2023×	512	valid
185.0ms	1817×	256	valid
67.0ms	248×	2048	valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

Operation ival-exp, time spent: 530.0ms, 44.0% of total-time

Operation ival-<=, time spent: 244.0ms, 20.0% of total-time

Operation ival-sub, time spent: 211.0ms, 18.0% of total-time

Operation ival-fabs, time spent: 191.0ms, 16.0% of total-time

Operation const, time spent: 24.0ms, 2.0% of total-time

Bogosity

preprocess239.0ms (8.1%)

Algorithm

1×	egg-herbie

Rules

15×	`fma-neg`
14×	`fma-define`
14×	`sub-neg`
10×	`+-commutative`
5×	`*-commutative`

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
253	-	-	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`
0	-	-	`x`
0	-	-	`(exp.f64 x)`
0	-	-	`#s(literal 1 binary64)`

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) #s(literal 1 binary64))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(neg.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))

Outputs
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(expm1.f64 x)
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(expm1.f64 x)
(-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(expm1.f64 (neg.f64 x))
(neg.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))
(neg.f64 (expm1.f64 (neg.f64 x)))

Results

59.0ms	230×	1024	valid
74.0ms	132×	256	valid
20.0ms	128×	512	valid
5.0ms	22×	2048	valid

Compiler

Compiled 25 to 16 computations (36% saved)

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

Operation ival-exp, time spent: 97.0ms, 91.0% of total-time

Operation ival-sub, time spent: 7.0ms, 7.0% of total-time

Operation const, time spent: 2.0ms, 2.0% 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)

localize53.0ms (1.8%)

Results

29.0ms	121×	1024	valid
5.0ms	73×	256	valid
10.0ms	57×	512	valid
1.0ms	5×	2048	valid

Compiler

Compiled 5 to 3 computations (40% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

Operation composed, time spent: 25.0ms, 52.0% of total-time

Operation ival-exp, time spent: 15.0ms, 31.0% of total-time

Operation ival-sub, time spent: 7.0ms, 15.0% 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)

regimes3.0ms (0.1%)

Accuracy

Total -58.2b remaining (-∞%)

Threshold costs -58.2b (-∞%)

Counts

2 → 1

Calls

Call 1

Inputs
(expm1.f64 x)
(-.f64 (exp.f64 x) #s(literal 1 binary64))

Outputs
(expm1.f64 x)

Calls

3 calls:

1.0ms	x
1.0ms	(-.f64 (exp.f64 x) #s(literal 1 binary64))
1.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`
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)

soundness18.0ms (0.6%)

Rules

15×	`fma-neg`
14×	`fma-define`
14×	`sub-neg`
10×	`+-commutative`
5×	`*-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%)

preprocess34.0ms (1.2%)

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%)

sample2.6s (88.1%)

preprocess239.0ms (8.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize53.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

regimes3.0ms (0.1%)

simplify2.0ms (0.1%)

soundness18.0ms (0.6%)

end0.0ms (0%)

preprocess34.0ms (1.2%)

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