Details

analyze4.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
62.5%	25%	12.5%	4
68.7%	12.5%	18.8%	5
71.8%	6.2%	21.9%	6
73.4%	3.1%	23.5%	7
74.2%	1.6%	24.3%	8
74.6%	0.8%	24.6%	9
75%	0.4%	24.6%	10
75.1%	0.2%	24.7%	11
75.1%	0.1%	24.8%	12
75.1%	0%	24.8%	13
75.2%	0%	24.8%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample1.8s (89.8%)

Results

1.0s	2689×	body	1024	valid
320.0ms	1376×	body	512	valid
280.0ms	3218×	body	128	valid
103.0ms	699×	body	256	valid
102.0ms	274×	body	2048	valid

Compiler

Compiled 16 to 12 computations (25% saved)

preprocess24.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

95×	`fma-def_binary64`
80×	`fma-neg_binary64`
32×	`distribute-rgt-in_binary64`
28×	`cancel-sign-sub-inv_binary64`
26×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6
1	15	6
2	18	6
3	22	6
4	30	6
5	40	6
6	59	6
7	100	6
8	146	6
9	222	6
10	349	6
11	507	6
12	579	6
13	615	6
0	1	1

Stop Event

1×	saturated
1×	saturated

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify13.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

95×	`fma-def_binary64`
80×	`fma-neg_binary64`
32×	`distribute-rgt-in_binary64`
28×	`cancel-sign-sub-inv_binary64`
26×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6
1	15	6
2	18	6
3	22	6
4	30	6
5	40	6
6	59	6
7	100	6
8	146	6
9	222	6
10	349	6
11	507	6
12	579	6
13	615	6

Stop Event

1×

saturated

Counts

1 → 2

prune3.0ms (0.2%)

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

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(/.f64 (expm1.f64 x) x)

Compiler

Compiled 21 to 13 computations (38.1% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (expm1.f64 x) x)

series3.0ms (0.2%)

Counts

1 → 12

Calls

3 calls:

1.0ms	(/.f64 (expm1.f64 x) x)	x	-inf
1.0ms	(/.f64 (expm1.f64 x) x)	x	inf
1.0ms	(/.f64 (expm1.f64 x) x)	x	0

rewrite36.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

417×	`log1p-expm1-u_binary64`
417×	`expm1-log1p-u_binary64`
286×	`unpow-prod-down_binary64`
219×	`log-prod_binary64`
117×	`pow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	6
1	83	6
2	1114	6

Stop Event

1×	node limit

Counts

1 → 70

simplify27.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

536×	`unswap-sqr_binary64`
502×	`associate-l_binary64`
484×	`fma-def_binary64`
309×	`associate-r_binary64`
186×	`fma-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	26	91
1	68	89
2	145	86
3	393	79
4	981	76
5	3095	76

Stop Event

1×	node limit

Counts

82 → 80

prune35.0ms (1.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	79	2	81

Error

Counts

81 → 2

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (expm1.f64 x) x)
▶	19.7b	(fma.f64 1/2 x 1)

Compiler

Compiled 897 to 423 computations (52.8% saved)

localize2.0ms (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

Counts

2 → 2

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (expm1.f64 x) x)
✓	19.7b	(fma.f64 1/2 x 1)

Compiler

Compiled 10 to 7 computations (30% saved)

regimes20.0ms (1%)

Accuracy

Total 0.0b remaining (40.7%)

Threshold costs 0.0b (40.7%)

Counts

5 → 1

Compiler

Compiled 91 to 67 computations (26.4% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	6

Stop Event

1×

saturated

end34.0ms (1.6%)

Stop Event

1×

done

Compiler

Compiled 20 to 13 computations (35% saved)

Iter	Nodes	Cost
0	6	6
1	15	6
2	18	6
3	22	6
4	30	6
5	40	6
6	59	6
7	100	6
8	146	6
9	222	6
10	349	6
11	507	6
12	579	6
13	615	6
0	1	1

Iter	Nodes	Cost
0	6	6
1	15	6
2	18	6
3	22	6
4	30	6
5	40	6
6	59	6
7	100	6
8	146	6
9	222	6
10	349	6
11	507	6
12	579	6
13	615	6

Iter	Nodes	Cost
0	6	6
1	15	6
2	18	6
3	22	6
4	30	6
5	40	6
6	59	6
7	100	6
8	146	6
9	222	6
10	349	6
11	507	6
12	579	6
13	615	6
0	1	1

Iter	Nodes	Cost
0	6	6
1	15	6
2	18	6
3	22	6
4	30	6
5	40	6
6	59	6
7	100	6
8	146	6
9	222	6
10	349	6
11	507	6
12	579	6
13	615	6

Details

analyze4.0ms (0.2%)

sample1.8s (89.8%)

preprocess24.0ms (1.2%)

simplify13.0ms (0.7%)

prune3.0ms (0.2%)

localize3.0ms (0.1%)

series3.0ms (0.2%)

rewrite36.0ms (1.8%)

simplify27.0ms (1.3%)

prune35.0ms (1.7%)

localize2.0ms (0.1%)

prune1.0ms (0%)

regimes20.0ms (1%)

simplify2.0ms (0.1%)

end34.0ms (1.6%)

Profiling

Iter	Nodes	Cost
0	6	6
1	15	6
2	18	6
3	22	6
4	30	6
5	40	6
6	59	6
7	100	6
8	146	6
9	222	6
10	349	6
11	507	6
12	579	6
13	615	6
0	1	1

Iter	Nodes	Cost
0	6	6
1	15	6
2	18	6
3	22	6
4	30	6
5	40	6
6	59	6
7	100	6
8	146	6
9	222	6
10	349	6
11	507	6
12	579	6
13	615	6