Details

analyze431.0ms (24.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
35.9%	55.4%	8.7%	10
42.9%	47.6%	9.5%	11
51.5%	38.4%	10.1%	12
55%	30.3%	14.7%	13
59.5%	25.4%	15.1%	14

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample848.0ms (47.7%)

Symmetry

(sort x y)

Results

744.0ms	8255×	body	128	valid
57.0ms	620×	body	128	invalid
0.0ms	1×	body	512	valid

Compiler

Compiled 32 to 23 computations (28.1% saved)

simplify10.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

186×	`fma-def_binary64`
33×	`distribute-rgt-in_binary64`
26×	`associate-+l+_binary64`
22×	`associate-+r+_binary64`
21×	`distribute-lft-in_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	19	10
2	45	10
3	88	10
4	170	10
5	254	10
6	256	10
7	258	10
8	252	10

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.0b	(*.f64 (+.f64 x y) (+.f64 z 1))

Compiler

Compiled 30 to 21 computations (30% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 x y) (+.f64 z 1))

series7.0ms (0.4%)

Counts

1 → 36

Calls

1 calls:

7.0ms

(*.f64 (+.f64 x y) (+.f64 z 1))

rewrite121.0ms (6.8%)

Algorithm

2×	batch-egg-rewrite

Rules

692×	`prod-diff_binary64`
512×	`fma-udef_binary64`
324×	`fma-def_binary64`
222×	`fma-neg_binary64`
154×	`log1p-udef_binary64`

Counts

1 → 74

Calls

1 calls:

119.0ms

(*.f64 (+.f64 x y) (+.f64 z 1))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	176	10
2	2278	10
3	4732	10
4	4762	10
5	4967	10
0	0	0
1	0	0

simplify25.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

174×	`fma-def_binary64`
26×	`associate-+l+_binary64`
22×	`associate-+r+_binary64`
22×	`distribute-rgt-in_binary64`
13×	`+-commutative_binary64`

Counts

110 → 83

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	378
1	37	351
2	71	318
3	131	318
4	185	318
5	225	318
6	248	318
7	254	318
8	252	318

prune45.0ms (2.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	82	1	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	1	84

Error

Counts

84 → 1

Alt Table

Status	Error	Program
▶	0b	(fma.f64 y (+.f64 z 1) (*.f64 x (+.f64 z 1)))

Compiler

Compiled 1151 to 444 computations (61.4% saved)

localize5.0ms (0.3%)

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

Error

Counts

1 → 1

Alt Table

Status	Error	Program
✓	0b	(fma.f64 y (+.f64 z 1) (*.f64 x (+.f64 z 1)))

Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes110.0ms (6.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

17 → 1

Compiler

Compiled 1259 to 844 computations (33% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	12	14
2	11	14

end169.0ms (9.5%)

Compiler: Compiled 65 to 45 computations (30.8% saved)

Iter	Nodes	Cost
0	16	378
1	37	351
2	71	318
3	131	318
4	185	318
5	225	318
6	248	318
7	254	318
8	252	318

Iter	Nodes	Cost
0	16	378
1	37	351
2	71	318
3	131	318
4	185	318
5	225	318
6	248	318
7	254	318
8	252	318

Details

analyze431.0ms (24.2%)

sample848.0ms (47.7%)

simplify10.0ms (0.6%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

series7.0ms (0.4%)

rewrite121.0ms (6.8%)

simplify25.0ms (1.4%)

prune45.0ms (2.5%)

localize5.0ms (0.3%)

prune1.0ms (0.1%)

regimes110.0ms (6.2%)

simplify2.0ms (0.1%)

end169.0ms (9.5%)

Profiling

Iter	Nodes	Cost
0	16	378
1	37	351
2	71	318
3	131	318
4	185	318
5	225	318
6	248	318
7	254	318
8	252	318