Metrics for Kahan's exp quotient

analyze1.0ms (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
50%	50%	50%	0%	0%	0%	0%	2
75%	75%	25%	0%	0%	0%	0%	3
87.5%	87.5%	12.5%	0%	0%	0%	0%	4
93.8%	93.7%	6.2%	0%	0%	0%	0%	5
96.9%	96.8%	3.1%	0%	0%	0%	0%	6
98.4%	98.4%	1.6%	0%	0%	0%	0%	7
99.2%	99.2%	0.8%	0%	0%	0%	0%	8
99.6%	99.6%	0.4%	0%	0%	0%	0%	9
99.8%	99.8%	0.2%	0%	0%	0%	0%	10
99.9%	99.9%	0.1%	0%	0%	0%	0%	11
100%	99.9%	0%	0%	0%	0%	0%	12

Compiler

Compiled 8 to 6 computations (25% saved)

sample1.0s (78.5%)

Results

441.0ms	2055×	body	1024	valid
229.0ms	2852×	body	256	valid
153.0ms	2084×	body	256	infinite
142.0ms	1051×	body	512	valid
52.0ms	214×	body	2048	valid

Bogosity

preprocess102.0ms (7.8%)

Algorithm

1×	egg-herbie

Rules

1292×	`div-sub`
1216×	`fma-neg`
1162×	`fma-def`
904×	`cancel-sign-sub-inv`
864×	`associate-/r*`

Problems

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	59
1	31	59
2	49	59
3	81	59
4	187	59
5	545	59
6	1645	59
7	5861	59

Stop Event

1×	node limit

Calls

Call 1

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

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

Compiler

Compiled 23 to 14 computations (39.1% saved)

eval0.0ms (0%)

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

prune1.0ms (0.1%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 10 to 6 computations (40% saved)

localize20.0ms (1.5%)

Compiler: Compiled 9 to 4 computations (55.6% 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%	(/.f64 (expm1.f64 x) x)

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes6.0ms (0.4%)

Accuracy

Total -29.6b remaining (-∞%)

Threshold costs -29.6b (-∞%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(/.f64 (expm1.f64 x) x)

Calls

2 calls:

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

Results

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

Compiler

Compiled 20 to 13 computations (35% saved)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(/.f64 (expm1.f64 x) x)

Outputs
(/.f64 (expm1.f64 x) x)

Compiler

Compiled 5 to 3 computations (40% saved)

soundness117.0ms (8.9%)

Rules

1292×	`div-sub`
1216×	`fma-neg`
1162×	`fma-def`
904×	`cancel-sign-sub-inv`
864×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	59
1	31	59
2	49	59
3	81	59
4	187	59
5	545	59
6	1645	59
7	5861	59

Stop Event

1×	node limit

Compiler

Compiled 11 to 7 computations (36.4% saved)

end0.0ms (0%)

preprocess33.0ms (2.5%)

Compiler: Compiled 70 to 46 computations (34.3% saved)

analyze1.0ms (0.1%)

sample1.0s (78.5%)

preprocess102.0ms (7.8%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize20.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0.1%)

regimes6.0ms (0.4%)

simplify1.0ms (0.1%)

soundness117.0ms (8.9%)

end0.0ms (0%)

preprocess33.0ms (2.5%)

Profiling