Details

analyze211.0ms (8.8%)

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)

sample1.3s (55.3%)

Symmetry

(sort x y)

Results

1.2s	8254×	body	128	valid
11.0ms	75×	body	128	invalid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 29 to 17 computations (41.4% saved)

simplify46.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

249×	`fma-neg_binary64`
175×	`fma-def_binary64`
55×	`cancel-sign-sub-inv_binary64`
39×	`sub-neg_binary64`
38×	`associate--r+_binary64`

Counts

1 → 2

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	15	10
2	31	10
3	61	9
4	115	8
5	233	8
6	323	8
7	436	8
8	529	8
9	556	8
10	557	8
11	518	8

prune5.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

Counts

3 → 2

Alt Table

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

Compiler

Compiled 49 to 28 computations (42.9% saved)

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series7.0ms (0.3%)

Counts

1 → 24

Calls

1 calls:

7.0ms

(-.f64 (+.f64 x y) (*.f64 x y))

rewrite77.0ms (3.2%)

Algorithm

2×	batch-egg-rewrite

Rules

857×	`log1p-expm1-u_binary64`
857×	`expm1-log1p-u_binary64`
76×	`add-sqr-sqrt_binary64`
71×	`add-log-exp_binary64`
70×	`add-cube-cbrt_binary64`

Counts

1 → 49

Calls

1 calls:

75.0ms

(-.f64 (+.f64 x y) (*.f64 x y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	144	10
2	2073	10
3	5150	10
0	0	0
1	0	0

simplify52.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

195×	`fma-def_binary64`
176×	`fma-neg_binary64`
47×	`distribute-rgt-in_binary64`
31×	`unsub-neg_binary64`
30×	`associate--r+_binary64`

Counts

73 → 59

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	210
1	47	210
2	97	210
3	146	174
4	309	174
5	502	174
6	547	174
7	556	174
8	517	174

prune55.0ms (2.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	59	2	61

Error

Counts

61 → 2

Alt Table

Status	Error	Program
▶	0.0b	(fma.f64 x (-.f64 1 y) y)
✓	0.0b	(-.f64 (+.f64 x y) (*.f64 x y))

Compiler

Compiled 831 to 245 computations (70.5% saved)

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x (-.f64 1 y) y)

series12.0ms (0.5%)

Counts

1 → 24

Calls

1 calls:

12.0ms

(fma.f64 x (-.f64 1 y) y)

rewrite89.0ms (3.7%)

Algorithm

2×	batch-egg-rewrite

Rules

586×	`log1p-expm1-u_binary64`
586×	`expm1-log1p-u_binary64`
265×	`log-prod_binary64`
207×	`prod-diff_binary64`
113×	`fma-udef_binary64`

Counts

1 → 29

Calls

1 calls:

88.0ms

(fma.f64 x (-.f64 1 y) y)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	123	8
2	1459	8
3	4901	8
4	4968	8
0	0	0
1	0	0

simplify48.0ms (2%)

Algorithm

1×	egg-herbie

Rules

195×	`fma-def_binary64`
176×	`fma-neg_binary64`
47×	`distribute-rgt-in_binary64`
31×	`unsub-neg_binary64`
30×	`associate--r+_binary64`

Counts

53 → 39

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	210
1	47	210
2	97	210
3	146	174
4	309	174
5	502	174
6	547	174
7	556	174
8	517	174

prune29.0ms (1.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	39	2	41

Error

Counts

41 → 2

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 x (-.f64 1 y) y)
✓	0.0b	(-.f64 (+.f64 x y) (*.f64 x y))

Compiler

Compiled 418 to 264 computations (36.8% saved)

regimes63.0ms (2.6%)

Accuracy

Total 0.0b remaining (89.5%)

Threshold costs 0.0b (89.5%)

Counts

9 → 1

Compiler

Compiled 207 to 129 computations (37.7% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-commutative_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	10	8
2	14	8
3	16	8
4	17	8
5	16	8

end352.0ms (14.7%)

Compiler: Compiled 49 to 30 computations (38.8% saved)

Iter	Nodes	Cost
0	6	10
1	15	10
2	31	10
3	61	9
4	115	8
5	233	8
6	323	8
7	436	8
8	529	8
9	556	8
10	557	8
11	518	8

Iter	Nodes	Cost
0	18	210
1	47	210
2	97	210
3	146	174
4	309	174
5	502	174
6	547	174
7	556	174
8	517	174

Iter	Nodes	Cost
0	18	210
1	47	210
2	97	210
3	146	174
4	309	174
5	502	174
6	547	174
7	556	174
8	517	174

Iter	Nodes	Cost
0	6	10
1	15	10
2	31	10
3	61	9
4	115	8
5	233	8
6	323	8
7	436	8
8	529	8
9	556	8
10	557	8
11	518	8

Iter	Nodes	Cost
0	18	210
1	47	210
2	97	210
3	146	174
4	309	174
5	502	174
6	547	174
7	556	174
8	517	174

Iter	Nodes	Cost
0	18	210
1	47	210
2	97	210
3	146	174
4	309	174
5	502	174
6	547	174
7	556	174
8	517	174

Details

analyze211.0ms (8.8%)

sample1.3s (55.3%)

simplify46.0ms (1.9%)

prune5.0ms (0.2%)

localize8.0ms (0.3%)

series7.0ms (0.3%)

rewrite77.0ms (3.2%)

simplify52.0ms (2.2%)

prune55.0ms (2.3%)

localize7.0ms (0.3%)

series12.0ms (0.5%)

rewrite89.0ms (3.7%)

simplify48.0ms (2%)

prune29.0ms (1.2%)

regimes63.0ms (2.6%)

simplify7.0ms (0.3%)

end352.0ms (14.7%)

Profiling

Iter	Nodes	Cost
0	6	10
1	15	10
2	31	10
3	61	9
4	115	8
5	233	8
6	323	8
7	436	8
8	529	8
9	556	8
10	557	8
11	518	8

Iter	Nodes	Cost
0	18	210
1	47	210
2	97	210
3	146	174
4	309	174
5	502	174
6	547	174
7	556	174
8	517	174

Iter	Nodes	Cost
0	18	210
1	47	210
2	97	210
3	146	174
4	309	174
5	502	174
6	547	174
7	556	174
8	517	174