Details

analyze519.0ms (21.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
25%	62.5%	12.5%	4
25%	56.2%	18.8%	5
28.1%	50%	21.9%	6
29.7%	46.9%	23.5%	7
30.5%	45.3%	24.3%	8
30.8%	44.9%	24.3%	9
31.2%	44.5%	24.3%	10
31.3%	44.4%	24.3%	11
31.4%	44.3%	24.3%	12
31.4%	44.2%	24.3%	13
31.5%	44.2%	24.3%	14

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample1.8s (71.1%)

Results

971.0ms	2816×	body	1024	valid
300.0ms	1306×	body	512	valid
250.0ms	3175×	body	128	valid
105.0ms	703×	body	256	valid
95.0ms	256×	body	2048	valid

Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`rules-21_binary64`
1×	`rules-52_binary64`
1×	`1-exp_binary64`
1×	`expm1-def_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	11	8
2	12	8
3	11	8

prune3.0ms (0.1%)

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

Error

0.5b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.5b	(/.f64 (exp.f64 x) (expm1.f64 x))

Compiler

Compiled 25 to 15 computations (40% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 (exp.f64 x) (expm1.f64 x))

series8.0ms (0.3%)

Counts

1 → 12

Calls

1 calls:

8.0ms

(/.f64 (exp.f64 x) (expm1.f64 x))

rewrite45.0ms (1.8%)

Algorithm

2×	batch-egg-rewrite

Rules

430×	`log1p-expm1-u_binary64`
430×	`expm1-log1p-u_binary64`
353×	`fma-neg_binary64`
247×	`unpow-prod-down_binary64`
219×	`log-prod_binary64`

Counts

1 → 50

Calls

1 calls:

44.0ms

(/.f64 (exp.f64 x) (expm1.f64 x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	107	8
2	1312	8
3	5099	8
0	0	0
1	0	0

simplify51.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

516×	`fma-neg_binary64`
455×	`rules-20_binary64`
357×	`rules-21_binary64`
329×	`rules-11_binary64`
236×	`rules-9-rev_binary64`

Counts

62 → 59

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	110
1	45	104
2	118	104
3	384	104
4	1580	104
5	4796	104
6	5057	104

prune23.0ms (0.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	58	1	59
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	58	2	60

Error

0.4b

Counts

60 → 2

Alt Table

Status	Error	Program
✓	0.5b	(/.f64 (exp.f64 x) (expm1.f64 x))
▶	24.6b	(+.f64 1/2 (/.f64 1 x))

Compiler

Compiled 675 to 258 computations (61.8% saved)

localize3.0ms (0.1%)

prune1.0ms (0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Error

0.4b

Counts

2 → 2

Alt Table

Status	Error	Program
✓	0.5b	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	24.6b	(+.f64 1/2 (/.f64 1 x))

Compiler

Compiled 12 to 9 computations (25% saved)

regimes15.0ms (0.6%)

Accuracy

Total 0.1b remaining (19.6%)

Threshold costs 0.1b (19.6%)

Counts

4 → 1

Compiler

Compiled 98 to 67 computations (31.6% saved)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	5	8

end33.0ms (1.3%)

Compiler: Compiled 24 to 17 computations (29.2% saved)

Details

analyze519.0ms (21.1%)

sample1.8s (71.1%)

simplify6.0ms (0.2%)

prune3.0ms (0.1%)

localize3.0ms (0.1%)

series8.0ms (0.3%)

rewrite45.0ms (1.8%)

simplify51.0ms (2.1%)

prune23.0ms (0.9%)

localize3.0ms (0.1%)

prune1.0ms (0%)

regimes15.0ms (0.6%)

simplify1.0ms (0%)

end33.0ms (1.3%)

Profiling