Details

analyze53.0ms (5.2%)

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
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)

sample813.0ms (79.1%)

Results

689.0ms	7917×	body	128	valid
35.0ms	108×	body	2048	valid
28.0ms	103×	body	1024	valid
16.0ms	84×	body	512	valid
6.0ms	44×	body	256	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 32 to 23 computations (28.1% saved)

simplify18.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	13	12
2	20	12
3	29	12
4	50	12
5	104	12
6	160	12
7	208	12
8	272	10
9	317	10
10	376	10
11	421	10
12	444	10
13	452	10
14	457	10

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

0.1b

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 (0.4%)

Local error

Found 1 expressions with local error:

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

series12.0ms (1.1%)

Counts

1 → 24

Calls

1 calls:

11.0ms

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

rewrite38.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

725×	`log1p-expm1-u_binary64`
725×	`expm1-log1p-u_binary64`
615×	`prod-diff_binary64`
80×	`add-sqr-sqrt_binary64`
76×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	155	8
2	2098	8

Stop Event

1×	node limit

Counts

1 → 23

Calls

1 calls:

37.0ms

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

simplify25.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	221
1	15	221
2	23	221
3	32	221
4	53	221
5	105	221
6	161	221
7	211	221
8	289	221
9	351	221
10	402	221
11	426	221
12	432	221
13	437	221

Stop Event

1×

saturated

Counts

47 → 28

prune10.0ms (1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	28	0	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	1	29

Error

0.1b

Counts

29 → 1

Alt Table

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

Compiler

Compiled 301 to 158 computations (47.5% saved)

regimes20.0ms (1.9%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

4 → 1

Compiler

Compiled 137 to 97 computations (29.2% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`+-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	7	10
1	11	10
2	18	10
3	23	10
4	26	10
5	27	10

Stop Event

1×

saturated

end32.0ms (3.1%)

Compiler: Compiled 27 to 18 computations (33.3% saved)

Iter	Nodes	Cost
0	8	12
1	13	12
2	20	12
3	29	12
4	50	12
5	104	12
6	160	12
7	208	12
8	272	10
9	317	10
10	376	10
11	421	10
12	444	10
13	452	10
14	457	10

Iter	Nodes	Cost
0	8	221
1	15	221
2	23	221
3	32	221
4	53	221
5	105	221
6	161	221
7	211	221
8	289	221
9	351	221
10	402	221
11	426	221
12	432	221
13	437	221

Iter	Nodes	Cost
0	8	12
1	13	12
2	20	12
3	29	12
4	50	12
5	104	12
6	160	12
7	208	12
8	272	10
9	317	10
10	376	10
11	421	10
12	444	10
13	452	10
14	457	10

Iter	Nodes	Cost
0	8	221
1	15	221
2	23	221
3	32	221
4	53	221
5	105	221
6	161	221
7	211	221
8	289	221
9	351	221
10	402	221
11	426	221
12	432	221
13	437	221

Details

analyze53.0ms (5.2%)

sample813.0ms (79.1%)

simplify18.0ms (1.7%)

prune2.0ms (0.2%)

localize4.0ms (0.4%)

series12.0ms (1.1%)

rewrite38.0ms (3.7%)

simplify25.0ms (2.4%)

prune10.0ms (1%)

regimes20.0ms (1.9%)

simplify2.0ms (0.2%)

end32.0ms (3.1%)

Profiling

Iter	Nodes	Cost
0	8	12
1	13	12
2	20	12
3	29	12
4	50	12
5	104	12
6	160	12
7	208	12
8	272	10
9	317	10
10	376	10
11	421	10
12	444	10
13	452	10
14	457	10

Iter	Nodes	Cost
0	8	221
1	15	221
2	23	221
3	32	221
4	53	221
5	105	221
6	161	221
7	211	221
8	289	221
9	351	221
10	402	221
11	426	221
12	432	221
13	437	221