Details

analyze93.0ms (5.8%)

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
50%	50%	0.1%	4
50%	50%	0.1%	5
74.9%	25%	0.1%	6
74.9%	25%	0.1%	7
87.4%	12.5%	0.1%	8
87.4%	12.5%	0.1%	9
93.7%	6.2%	0.1%	10
93.7%	6.2%	0.1%	11
96.8%	3.1%	0.1%	12
96.8%	3.1%	0.1%	13
99.1%	0.8%	0.1%	14

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample1.3s (82.6%)

Results

1.2s	7992×	body	128	valid
48.0ms	93×	body	1024	valid
36.0ms	66×	body	2048	valid
23.0ms	70×	body	512	valid
9.0ms	35×	body	256	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 32 to 23 computations (28.1% saved)

simplify17.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

97×	`fma-neg_binary64`
32×	`cancel-sign-sub-inv_binary64`
30×	`fma-def_binary64`
29×	`sub-neg_binary64`
17×	`distribute-rgt-neg-in_binary64`

Counts

1 → 2

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	13	12
2	20	12
3	29	12
4	45	12
5	79	12
6	97	12
7	123	12
8	174	10
9	188	10
10	229	10
11	263	10
12	283	10
13	291	10
14	296	10
15	256	10

prune3.0ms (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

0.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.1b	(fma.f64 (fabs.f64 (-.f64 y x)) 1/2 x)

Compiler

Compiled 35 to 21 computations (40% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 (fabs.f64 (-.f64 y x)) 1/2 x)

series8.0ms (0.5%)

Counts

1 → 24

Calls

1 calls:

8.0ms

(fma.f64 (fabs.f64 (-.f64 y x)) 1/2 x)

rewrite45.0ms (2.8%)

Algorithm

2×	batch-egg-rewrite

Rules

725×	`log1p-expm1-u_binary64`
725×	`expm1-log1p-u_binary64`
615×	`prod-diff_binary64`
80×	`add-sqr-sqrt_binary64`
75×	`add-log-exp_binary64`

Counts

1 → 23

Calls

1 calls:

44.0ms

(fma.f64 (fabs.f64 (-.f64 y x)) 1/2 x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	155	8
2	1768	8
3	5462	8
0	0	0
1	0	0

simplify30.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

97×	`fma-neg_binary64`
46×	`fma-def_binary64`
34×	`cancel-sign-sub-inv_binary64`
28×	`sub-neg_binary64`
19×	`distribute-rgt-neg-in_binary64`

Counts

47 → 27

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	221
1	15	221
2	23	221
3	32	221
4	48	221
5	82	221
6	100	221
7	128	221
8	191	221
9	204	221
10	242	221
11	257	221
12	263	221
13	268	221
14	238	221

prune10.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	26	1	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	2	28

Error

0.1b

Counts

28 → 2

Alt Table

Status	Error	Program
▶	29.6b	(*.f64 1/2 (fabs.f64 (-.f64 y x)))
✓	0.1b	(fma.f64 (fabs.f64 (-.f64 y x)) 1/2 x)

Compiler

Compiled 311 to 166 computations (46.6% saved)

localize4.0ms (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

0.1b

Counts

2 → 2

Alt Table

Status	Error	Program
✓	29.6b	(*.f64 1/2 (fabs.f64 (-.f64 y x)))
✓	0.1b	(fma.f64 (fabs.f64 (-.f64 y x)) 1/2 x)

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes22.0ms (1.4%)

Accuracy

Total 0.0b remaining (0.3%)

Threshold costs 0.0b (0.3%)

Counts

3 → 1

Compiler

Compiled 113 to 79 computations (30.1% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	13	12
2	20	12
3	25	12
4	28	12
5	29	12
6	29	12

end38.0ms (2.4%)

Compiler: Compiled 37 to 26 computations (29.7% saved)

Iter	Nodes	Cost
0	8	12
1	13	12
2	20	12
3	29	12
4	45	12
5	79	12
6	97	12
7	123	12
8	174	10
9	188	10
10	229	10
11	263	10
12	283	10
13	291	10
14	296	10
15	256	10

Iter	Nodes	Cost
0	8	221
1	15	221
2	23	221
3	32	221
4	48	221
5	82	221
6	100	221
7	128	221
8	191	221
9	204	221
10	242	221
11	257	221
12	263	221
13	268	221
14	238	221

Iter	Nodes	Cost
0	8	12
1	13	12
2	20	12
3	29	12
4	45	12
5	79	12
6	97	12
7	123	12
8	174	10
9	188	10
10	229	10
11	263	10
12	283	10
13	291	10
14	296	10
15	256	10

Iter	Nodes	Cost
0	8	221
1	15	221
2	23	221
3	32	221
4	48	221
5	82	221
6	100	221
7	128	221
8	191	221
9	204	221
10	242	221
11	257	221
12	263	221
13	268	221
14	238	221

Details

analyze93.0ms (5.8%)

sample1.3s (82.6%)

simplify17.0ms (1.1%)

prune3.0ms (0.2%)

localize4.0ms (0.3%)

series8.0ms (0.5%)

rewrite45.0ms (2.8%)

simplify30.0ms (1.9%)

prune10.0ms (0.7%)

localize4.0ms (0.2%)

prune1.0ms (0.1%)

regimes22.0ms (1.4%)

simplify3.0ms (0.2%)

end38.0ms (2.4%)

Profiling

Iter	Nodes	Cost
0	8	12
1	13	12
2	20	12
3	29	12
4	45	12
5	79	12
6	97	12
7	123	12
8	174	10
9	188	10
10	229	10
11	263	10
12	283	10
13	291	10
14	296	10
15	256	10

Iter	Nodes	Cost
0	8	221
1	15	221
2	23	221
3	32	221
4	48	221
5	82	221
6	100	221
7	128	221
8	191	221
9	204	221
10	242	221
11	257	221
12	263	221
13	268	221
14	238	221