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)

sample1.7s (88.3%)

Results

901.0ms	2750×	body	1024	valid
340.0ms	1415×	body	512	valid
250.0ms	3096×	body	128	valid
112.0ms	291×	body	2048	valid
102.0ms	704×	body	256	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 16 to 12 computations (25% saved)

preprocess23.0ms (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)

simplify14.0ms (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 (0.1%)

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

0.0b

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 2 expressions with local error:

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

series5.0ms (0.2%)

Counts

2 → 24

Calls

6 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
1.0ms	(expm1.f64 x)	x	0
0.0ms	(expm1.f64 x)	x	inf

rewrite42.0ms (2.2%)

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	9
1	83	9
2	1114	9

Stop Event

1×	node limit

Counts

2 → 107

simplify31.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

803×	`unswap-sqr_binary64`
526×	`times-frac_binary64`
435×	`fma-def_binary64`
213×	`*-commutative_binary64`
193×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	161
1	94	159
2	214	156
3	608	143
4	1674	143
5	3217	143

Stop Event

1×	node limit

Counts

131 → 125

prune48.0ms (2.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	124	1	125
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	124	2	126

Error

Counts

126 → 2

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (expm1.f64 x) x)
▶	21.0b	(fma.f64 1/2 x 1)

Compiler

Compiled 1343 to 662 computations (50.7% saved)

localize3.0ms (0.2%)

prune1.0ms (0.1%)

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)
✓	21.0b	(fma.f64 1/2 x 1)

Compiler

Compiled 10 to 7 computations (30% saved)

regimes18.0ms (0.9%)

Accuracy

Total 0.0b remaining (39.3%)

Threshold costs 0.0b (39.3%)

Counts

6 → 1

Compiler

Compiled 99 to 71 computations (28.3% 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

end32.0ms (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%)

sample1.7s (88.3%)

preprocess23.0ms (1.2%)

simplify14.0ms (0.7%)

prune3.0ms (0.1%)

localize3.0ms (0.1%)

series5.0ms (0.2%)

rewrite42.0ms (2.2%)

simplify31.0ms (1.6%)

prune48.0ms (2.5%)

localize3.0ms (0.2%)

prune1.0ms (0.1%)

regimes18.0ms (0.9%)

simplify2.0ms (0.1%)

end32.0ms (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