Details

analyze107.0ms (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%	46.8%	3.2%	7
59.3%	34.3%	6.3%	8
67.1%	24.2%	8.7%	9
72.6%	18%	9.5%	10
76.9%	12.3%	10.8%	11
79.8%	9.2%	11%	12
82%	6.2%	11.8%	13
83.6%	4.6%	11.8%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample744.0ms (61%)

Results

680.0ms	8256×	body	128	valid
7.0ms	85×	body	128	invalid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify26.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

411×	`fma-def_binary64`
260×	`fma-neg_binary64`
73×	`cancel-sign-sub-inv_binary64`
46×	`distribute-rgt-in_binary64`
38×	`associate--r+_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	14	10
2	27	8
3	48	8
4	106	8
5	181	8
6	341	8
7	513	8
8	541	8
9	548	8
10	557	8
11	518	8

prune3.0ms (0.3%)

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 (fma.f64 x y y) x)

Compiler

Compiled 31 to 16 computations (48.4% saved)

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series4.0ms (0.3%)

Counts

1 → 24

Calls

1 calls:

4.0ms

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

rewrite101.0ms (8.3%)

Algorithm

2×	batch-egg-rewrite

Rules

606×	`log1p-expm1-u_binary64`
606×	`expm1-log1p-u_binary64`
474×	`prod-diff_binary64`
314×	`fma-udef_binary64`
229×	`fma-def_binary64`

Counts

1 → 91

Calls

1 calls:

99.0ms

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	111	8
2	1480	8
3	4983	8
4	4981	8
5	4966	8
0	0	0
1	0	0

simplify29.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

277×	`fma-def_binary64`
220×	`fma-neg_binary64`
37×	`distribute-rgt-in_binary64`
37×	`cancel-sign-sub-inv_binary64`
31×	`unsub-neg_binary64`

Counts

115 → 101

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	176
1	38	172
2	77	172
3	119	172
4	274	172
5	484	172
6	534	172
7	556	172
8	559	172
9	520	172

prune38.0ms (3.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	100	1	101
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	100	2	102

Error

Counts

102 → 2

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 (fma.f64 x y y) x)
▶	29.7b	(*.f64 (-.f64 y 1) x)

Compiler

Compiled 1438 to 394 computations (72.6% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series4.0ms (0.3%)

Counts

1 → 12

Calls

1 calls:

4.0ms

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

rewrite51.0ms (4.1%)

Algorithm

2×	batch-egg-rewrite

Rules

555×	`log1p-expm1-u_binary64`
555×	`expm1-log1p-u_binary64`
378×	`unpow-prod-down_binary64`
267×	`log-prod_binary64`
150×	`pow2_binary64`

Counts

1 → 25

Calls

1 calls:

50.0ms

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	124	7
2	1412	7
3	5373	7
0	0	0
1	0	0

simplify20.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

123×	`fma-def_binary64`
78×	`fma-neg_binary64`
28×	`cancel-sign-sub-inv_binary64`
16×	`distribute-rgt-neg-in_binary64`
16×	`sub-neg_binary64`

Counts

37 → 31

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	74
1	12	74
2	18	74
3	27	74
4	40	74
5	62	74
6	127	74
7	198	74
8	229	74
9	259	74
10	261	74
11	226	74

prune12.0ms (1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	31	0	31
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	31	2	33

Error

Counts

33 → 2

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 (fma.f64 x y y) x)
✓	29.7b	(*.f64 (-.f64 y 1) x)

Compiler

Compiled 267 to 177 computations (33.7% saved)

regimes38.0ms (3.1%)

Accuracy

Total 0.0b remaining (75.5%)

Threshold costs 0.0b (75.5%)

Counts

12 → 1

Compiler

Compiled 249 to 158 computations (36.5% saved)

simplify2.0ms (0.2%)

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	5	8
1	7	8
2	12	8
3	14	8
4	15	8
5	15	8

end34.0ms (2.8%)

Compiler: Compiled 31 to 17 computations (45.2% saved)

Iter	Nodes	Cost
0	16	176
1	38	172
2	77	172
3	119	172
4	274	172
5	484	172
6	534	172
7	556	172
8	559	172
9	520	172

Iter	Nodes	Cost
0	7	74
1	12	74
2	18	74
3	27	74
4	40	74
5	62	74
6	127	74
7	198	74
8	229	74
9	259	74
10	261	74
11	226	74

Iter	Nodes	Cost
0	16	176
1	38	172
2	77	172
3	119	172
4	274	172
5	484	172
6	534	172
7	556	172
8	559	172
9	520	172

Iter	Nodes	Cost
0	7	74
1	12	74
2	18	74
3	27	74
4	40	74
5	62	74
6	127	74
7	198	74
8	229	74
9	259	74
10	261	74
11	226	74

Details

analyze107.0ms (8.8%)

sample744.0ms (61%)

simplify26.0ms (2.2%)

prune3.0ms (0.3%)

localize3.0ms (0.3%)

series4.0ms (0.3%)

rewrite101.0ms (8.3%)

simplify29.0ms (2.3%)

prune38.0ms (3.1%)

localize3.0ms (0.2%)

series4.0ms (0.3%)

rewrite51.0ms (4.1%)

simplify20.0ms (1.6%)

prune12.0ms (1%)

regimes38.0ms (3.1%)

simplify2.0ms (0.2%)

end34.0ms (2.8%)

Profiling

Iter	Nodes	Cost
0	16	176
1	38	172
2	77	172
3	119	172
4	274	172
5	484	172
6	534	172
7	556	172
8	559	172
9	520	172

Iter	Nodes	Cost
0	7	74
1	12	74
2	18	74
3	27	74
4	40	74
5	62	74
6	127	74
7	198	74
8	229	74
9	259	74
10	261	74
11	226	74