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

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

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

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

sample2.2s (84.3%)

Results

1.2s	4199×	1024	valid
449.0ms	2049×	512	valid
142.0ms	1014×	256	valid
65.0ms	735×	128	valid
89.0ms	258×	2048	valid
0.0ms	1×	1024	valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

Operation ival-exp, time spent: 604.0ms, 56.0% of total-time

Operation ival-sub, time spent: 198.0ms, 18.0% of total-time

Operation ival-<=, time spent: 139.0ms, 13.0% of total-time

Operation ival-fabs, time spent: 109.0ms, 10.0% of total-time

Operation const, time spent: 32.0ms, 3.0% of total-time

Bogosity

preprocess236.0ms (9.1%)

Algorithm

1×	egg-herbie

Rules

1460×	`fma-def`
826×	`associate--r+`
794×	`cancel-sign-sub-inv`
652×	`distribute-lft-in`
580×	`distribute-neg-in`

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
256	-	1	(0.026467180385564802)	`(-.f64 (exp.f64 x) 1)`
0	-	0	-	`x`
0	-	0	-	`(exp.f64 x)`
0	-	0	-	`1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	29	44
2	48	44
3	72	44
4	115	44
5	229	44
6	535	44
7	1611	44
8	4573	44

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)
(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)))

Compiler

Compiled 25 to 16 computations (36% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

Operation ival-exp, time spent: 33.0ms, 66.0% of total-time

Operation ival-sub, time spent: 14.0ms, 28.0% of total-time

Operation const, time spent: 3.0ms, 6.0% 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)

localize15.0ms (0.6%)

Compiler: Compiled 5 to 3 computations (40% saved)
Precisions: Click to see histograms. Total time spent on operations: 2.0ms
Operation ival-expm1, time spent: 2.0ms, 88.0% of total-time
Operation const, time spent: 0.0ms, 0.0% 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)

regimes10.0ms (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:

6.0ms	(-.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)

soundness115.0ms (4.5%)

Rules

1460×	`fma-def`
826×	`associate--r+`
794×	`cancel-sign-sub-inv`
652×	`distribute-lft-in`
580×	`distribute-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	29	44
2	48	44
3	72	44
4	115	44
5	229	44
6	535	44
7	1611	44
8	4573	44

Stop Event

1×	node limit

Compiler

Compiled 7 to 5 computations (28.6% saved)

end0.0ms (0%)

preprocess25.0ms (1%)

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

analyze0.0ms (0%)

sample2.2s (84.3%)

preprocess236.0ms (9.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize15.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

regimes10.0ms (0.4%)

simplify2.0ms (0.1%)

soundness115.0ms (4.5%)

end0.0ms (0%)

preprocess25.0ms (1%)

Profiling