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)

sample1.2s (85.7%)

Results

531.0ms	2033×	body	1024	valid
284.0ms	2853×	body	256	valid
193.0ms	2097×	body	256	infinite
150.0ms	1043×	body	512	valid
54.0ms	230×	body	2048	valid

Bogosity

preprocess58.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

1290×	`div-sub`
1216×	`fma-neg`
1162×	`fma-def`
906×	`cancel-sign-sub-inv`
870×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	30
1	29	30
2	47	30
3	79	30
4	185	30
5	543	30
6	1635	30
7	5797	30

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.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 (neg.f64 x)) 1) (neg.f64 x))
(/.f64 (expm1.f64 (neg.f64 x)) (neg.f64 x))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify17.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

336×	`fma-def`
68×	`distribute-rgt-in`
52×	`distribute-lft-in`
40×	`sub-neg`
40×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	17	11
2	20	11
3	24	11
4	33	11
5	43	11
6	62	11
7	103	11
8	147	11
9	225	11
10	347	11
11	531	11
12	603	11
13	639	11

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

prune18.0ms (1.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Accurracy

100.0%

Counts

3 → 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)

localize22.0ms (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

Accurracy

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)

regimes5.0ms (0.4%)

Accuracy

Total -28.2b remaining (-∞%)

Threshold costs -28.2b (-∞%)

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)

simplify4.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11

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)

soundness36.0ms (2.5%)

Rules

336×	`fma-def`
68×	`distribute-rgt-in`
52×	`distribute-lft-in`
40×	`sub-neg`
40×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	17	11
2	20	11
3	24	11
4	33	11
5	43	11
6	62	11
7	103	11
8	147	11
9	225	11
10	347	11
11	531	11
12	603	11
13	639	11

Stop Event

1×

saturated

Compiler

Compiled 11 to 7 computations (36.4% saved)

end0.0ms (0%)

preprocess40.0ms (2.8%)

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

Iter	Nodes	Cost
0	8	11
1	17	11
2	20	11
3	24	11
4	33	11
5	43	11
6	62	11
7	103	11
8	147	11
9	225	11
10	347	11
11	531	11
12	603	11
13	639	11

Iter	Nodes	Cost
0	8	11
1	17	11
2	20	11
3	24	11
4	33	11
5	43	11
6	62	11
7	103	11
8	147	11
9	225	11
10	347	11
11	531	11
12	603	11
13	639	11

Iter	Nodes	Cost
0	8	11
1	17	11
2	20	11
3	24	11
4	33	11
5	43	11
6	62	11
7	103	11
8	147	11
9	225	11
10	347	11
11	531	11
12	603	11
13	639	11

Iter	Nodes	Cost
0	8	11
1	17	11
2	20	11
3	24	11
4	33	11
5	43	11
6	62	11
7	103	11
8	147	11
9	225	11
10	347	11
11	531	11
12	603	11
13	639	11

analyze1.0ms (0.1%)

sample1.2s (85.7%)

preprocess58.0ms (4.1%)

simplify17.0ms (1.2%)

eval0.0ms (0%)

prune18.0ms (1.3%)

localize22.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0.1%)

regimes5.0ms (0.4%)

simplify4.0ms (0.3%)

soundness36.0ms (2.5%)

end0.0ms (0%)

preprocess40.0ms (2.8%)

Profiling

Iter	Nodes	Cost
0	8	11
1	17	11
2	20	11
3	24	11
4	33	11
5	43	11
6	62	11
7	103	11
8	147	11
9	225	11
10	347	11
11	531	11
12	603	11
13	639	11

Iter	Nodes	Cost
0	8	11
1	17	11
2	20	11
3	24	11
4	33	11
5	43	11
6	62	11
7	103	11
8	147	11
9	225	11
10	347	11
11	531	11
12	603	11
13	639	11