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

sample2.1s (83.4%)

Results

1.3s	4107×	1024	valid
347.0ms	2135×	512	valid
205.0ms	1750×	256	valid
84.0ms	263×	2048	valid
0.0ms	1×	1024	valid

Precisions

Click to see histograms. Total time spent on operations: 1.0s

Operation ival-exp, time spent: 586.0ms, 56.0% of total-time

Operation ival-sub, time spent: 184.0ms, 18.0% of total-time

Operation ival-fabs, time spent: 142.0ms, 14.0% of total-time

Operation ival-<=, time spent: 102.0ms, 10.0% of total-time

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

Bogosity

preprocess219.0ms (8.8%)

Algorithm

1×	egg-herbie

Rules

1000×	`fma-define`
820×	`associate--r+`
652×	`distribute-lft-in`
630×	`distribute-lft-out`
588×	`distribute-neg-in`

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
252	1	(-0.004617785274785227)	-	`(-.f64 (exp.f64 x) 1)`
0	0	-	-	`x`
0	0	-	-	`(exp.f64 x)`
0	0	-	-	`1`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 x) 1)`	cancellation	253

Confusion

	Predicted +	Predicted -
+	252	0
-	1	3

Precision

0.9960474308300395

Recall

1.0

FPDebug

Click to see full error table

pt	expls
(-0.004617785274785227)	(cancellation)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	29	44
2	48	44
3	74	44
4	119	44
5	236	44
6	539	44
7	1621	44
8	4639	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 30 to 20 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

Operation ival-exp, time spent: 31.0ms, 76.0% of total-time

Operation ival-sub, time spent: 8.0ms, 20.0% 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)

localize50.0ms (2%)

Compiler: Compiled 5 to 3 computations (40% saved)
Precisions: Click to see histograms. Total time spent on operations: 54.0ms
Operation composed, time spent: 28.0ms, 52.0% of total-time
Operation ival-exp, time spent: 22.0ms, 41.0% of total-time
Operation ival-sub, time spent: 4.0ms, 7.0% 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)

regimes6.0ms (0.3%)

Accuracy

Total -57.8b remaining (-∞%)

Threshold costs -57.8b (-∞%)

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 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)

soundness103.0ms (4.2%)

Rules

1000×	`fma-define`
820×	`associate--r+`
652×	`distribute-lft-in`
630×	`distribute-lft-out`
588×	`distribute-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	29	44
2	48	44
3	74	44
4	119	44
5	236	44
6	539	44
7	1621	44
8	4639	44

Stop Event

1×	node limit

Compiler

Compiled 7 to 5 computations (28.6% saved)

end0.0ms (0%)

preprocess27.0ms (1.1%)

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

analyze0.0ms (0%)

sample2.1s (83.4%)

preprocess219.0ms (8.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize50.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

regimes6.0ms (0.3%)

simplify2.0ms (0.1%)

soundness103.0ms (4.2%)

end0.0ms (0%)

preprocess27.0ms (1.1%)

Profiling