Details

analyze111.0ms (10.4%)

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
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
50%	48.4%	1.7%	7
59.3%	35.9%	4.8%	8
67.1%	25%	7.9%	9
72.6%	18.3%	9.1%	10
76.9%	12.5%	10.6%	11
79.8%	9.3%	10.9%	12
82%	6.2%	11.7%	13
83.6%	4.7%	11.8%	14

Compiler

Compiled 10 to 6 computations (40% saved)

sample726.0ms (67.9%)

Symmetry

(sort x y)

Results

685.0ms	8254×	body	128	valid
7.0ms	89×	body	128	invalid
0.0ms	2×	body	512	valid

Compiler

Compiled 29 to 17 computations (41.4% saved)

simplify8.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

48×	`fma-def_binary64`
6×	`+-commutative_binary64`
6×	`*-commutative_binary64`
6×	`distribute-rgt-in_binary64`
4×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	12	8
2	25	8
3	35	8
4	45	8
5	58	8
6	80	8
7	102	8
8	109	8
9	110	8

Stop Event

1×

saturated

Counts

1 → 2

prune2.0ms (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 x (fma.f64 x y y))

Compiler

Compiled 31 to 15 computations (51.6% saved)

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (fma.f64 x y y))

series4.0ms (0.4%)

Counts

1 → 24

Calls

1 calls:

4.0ms

(+.f64 x (fma.f64 x y y))

rewrite32.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

599×	`log1p-expm1-u_binary64`
599×	`expm1-log1p-u_binary64`
585×	`prod-diff_binary64`
106×	`log1p-udef_binary64`
58×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	110	8
2	1553	8

Stop Event

1×	node limit

Counts

1 → 35

Calls

1 calls:

31.0ms

(+.f64 x (fma.f64 x y y))

simplify12.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

48×	`fma-def_binary64`
5×	`+-commutative_binary64`
5×	`*-commutative_binary64`
5×	`associate-l_binary64`
4×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	174
1	23	170
2	45	166
3	62	166
4	90	166
5	105	166
6	107	166

Stop Event

1×

saturated

Counts

59 → 43

prune18.0ms (1.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	2	44

Error

Counts

44 → 2

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 x (fma.f64 x y y))
▶	0.0b	(+.f64 y (fma.f64 y x x))

Compiler

Compiled 549 to 168 computations (69.4% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 y (fma.f64 y x x))

series10.0ms (0.9%)

Counts

1 → 24

Calls

1 calls:

9.0ms

(+.f64 y (fma.f64 y x x))

rewrite34.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

599×	`log1p-expm1-u_binary64`
599×	`expm1-log1p-u_binary64`
585×	`prod-diff_binary64`
106×	`log1p-udef_binary64`
58×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	110	8
2	1553	8

Stop Event

1×	node limit

Counts

1 → 35

Calls

1 calls:

33.0ms

(+.f64 y (fma.f64 y x x))

simplify12.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

48×	`fma-def_binary64`
5×	`+-commutative_binary64`
5×	`*-commutative_binary64`
5×	`associate-l_binary64`
4×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	174
1	23	170
2	45	166
3	62	166
4	90	166
5	105	166
6	107	166

Stop Event

1×

saturated

Counts

59 → 43

prune16.0ms (1.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	43	2	45

Error

Counts

45 → 2

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 x (fma.f64 x y y))
✓	0.0b	(+.f64 y (fma.f64 y x x))

Compiler

Compiled 541 to 164 computations (69.7% saved)

regimes34.0ms (3.2%)

Accuracy

Total 0.0b remaining (95.5%)

Threshold costs 0.0b (95.5%)

Counts

11 → 1

Compiler

Compiled 237 to 135 computations (43% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	6	8

Stop Event

1×

saturated

end42.0ms (3.9%)

Remove: (sort x y)
Compiler: Compiled 48 to 24 computations (50% saved)

Details

analyze111.0ms (10.4%)

sample726.0ms (67.9%)

simplify8.0ms (0.8%)

prune2.0ms (0.2%)

localize3.0ms (0.3%)

series4.0ms (0.4%)

rewrite32.0ms (3%)

simplify12.0ms (1.1%)

prune18.0ms (1.7%)

localize4.0ms (0.3%)

series10.0ms (0.9%)

rewrite34.0ms (3.2%)

simplify12.0ms (1.1%)

prune16.0ms (1.5%)

regimes34.0ms (3.2%)

simplify2.0ms (0.2%)

end42.0ms (3.9%)

Profiling