Details

analyze184.0ms (12.3%)

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
25%	74.9%	0.1%	6
56.2%	43.7%	0.1%	7
56.2%	43.7%	0.1%	8
76.5%	23.4%	0.1%	9
76.5%	23.4%	0.1%	10
87.8%	12.1%	0.1%	11
87.8%	12.1%	0.1%	12
93.8%	6.1%	0.1%	13
93.8%	6.1%	0.1%	14

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample817.0ms (54.5%)

Results

763.0ms

8256×

body

128

valid

Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify29.0ms (2%)

Algorithm

1×	egg-herbie

Rules

921×	`fma-neg_binary64`
613×	`times-frac_binary64`
288×	`associate-/l*_binary64`
236×	`associate-/r/_binary64`
226×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	19	13
2	53	10
3	123	10
4	253	10
5	551	10
6	1090	10
7	3999	10

Stop Event

1×	node limit

Counts

1 → 2

prune4.0ms (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

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.0b	(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
	13.3b	(/.f64 (-.f64 x y) (.f64 (.f64 x 2) y))

Compiler

Compiled 58 to 40 computations (31% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series6.0ms (0.4%)

Counts

1 → 24

Calls

1 calls:

6.0ms

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

rewrite53.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

709×	`prod-diff_binary64`
269×	`fma-def_binary64`
160×	`expm1-udef_binary64`
160×	`log1p-udef_binary64`
148×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	168	10
2	2493	10

Stop Event

1×	node limit

Counts

1 → 136

Calls

1 calls:

51.0ms

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

simplify39.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

141×	`fma-def_binary64`
102×	`fma-neg_binary64`
48×	`cancel-sign-sub-inv_binary64`
25×	`sub-neg_binary64`
21×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	204
1	27	204
2	43	204
3	62	204
4	91	204
5	140	204
6	229	204
7	322	204
8	402	204
9	514	204
10	568	204
11	574	204

Stop Event

1×

saturated

Counts

160 → 140

prune90.0ms (6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	139	1	140
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	140	2	142

Error

Counts

142 → 2

Alt Table

Status	Error	Program
▶	10.8b	(/.f64 (/.f64 (-.f64 (.f64 -1/2 y) (.f64 -1/2 x)) x) y)
✓	0.0b	(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))

Compiler

Compiled 2555 to 1877 computations (26.5% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 (.f64 -1/2 y) (.f64 -1/2 x)) x)
✓	10.1b	(/.f64 (/.f64 (-.f64 (.f64 -1/2 y) (.f64 -1/2 x)) x) y)

series18.0ms (1.2%)

Counts

2 → 48

Calls

2 calls:

11.0ms	(/.f64 (/.f64 (-.f64 (.f64 -1/2 y) (.f64 -1/2 x)) x) y)
7.0ms	(/.f64 (-.f64 (.f64 -1/2 y) (.f64 -1/2 x)) x)

rewrite56.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

463×	`fma-def_binary64`
239×	`fma-neg_binary64`
202×	`expm1-udef_binary64`
202×	`log1p-udef_binary64`
112×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	221	23
2	3454	23

Stop Event

1×	node limit

Counts

2 → 100

Calls

2 calls:

54.0ms	(/.f64 (-.f64 (.f64 -1/2 y) (.f64 -1/2 x)) x)
54.0ms	(/.f64 (/.f64 (-.f64 (.f64 -1/2 y) (.f64 -1/2 x)) x) y)

simplify57.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

1298×	`fma-neg_binary64`
572×	`fma-def_binary64`
507×	`div-sub_binary64`
212×	`times-frac_binary64`
198×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	408
1	40	408
2	72	372
3	117	372
4	189	372
5	336	372
6	568	372
7	823	372
8	1068	372
9	1415	372
10	1659	372
11	2299	372
12	3876	372

Stop Event

1×	node limit

Counts

148 → 109

prune51.0ms (3.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	109	2	111

Error

Counts

111 → 2

Alt Table

Status	Error	Program
✓	10.8b	(/.f64 (/.f64 (-.f64 (.f64 -1/2 y) (.f64 -1/2 x)) x) y)
✓	0.0b	(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))

Compiler

Compiled 1664 to 878 computations (47.2% saved)

regimes32.0ms (2.1%)

Accuracy

Total 0.0b remaining (51.8%)

Threshold costs 0.0b (51.8%)

Counts

9 → 1

Compiler

Compiled 292 to 202 computations (30.8% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-commutative_binary64`
1×	`distribute-neg-frac_binary64`
1×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	9	10
2	17	10
3	19	10
4	20	10

Stop Event

1×

saturated

end48.0ms (3.2%)

Compiler: Compiled 40 to 30 computations (25% saved)

Iter	Nodes	Cost
0	13	204
1	27	204
2	43	204
3	62	204
4	91	204
5	140	204
6	229	204
7	322	204
8	402	204
9	514	204
10	568	204
11	574	204

Iter	Nodes	Cost
0	13	204
1	27	204
2	43	204
3	62	204
4	91	204
5	140	204
6	229	204
7	322	204
8	402	204
9	514	204
10	568	204
11	574	204

Details

analyze184.0ms (12.3%)

sample817.0ms (54.5%)

simplify29.0ms (2%)

prune4.0ms (0.2%)

localize4.0ms (0.3%)

series6.0ms (0.4%)

rewrite53.0ms (3.6%)

simplify39.0ms (2.6%)

prune90.0ms (6%)

localize6.0ms (0.4%)

series18.0ms (1.2%)

rewrite56.0ms (3.7%)

simplify57.0ms (3.8%)

prune51.0ms (3.4%)

regimes32.0ms (2.1%)

simplify2.0ms (0.1%)

end48.0ms (3.2%)

Profiling

Iter	Nodes	Cost
0	13	204
1	27	204
2	43	204
3	62	204
4	91	204
5	140	204
6	229	204
7	322	204
8	402	204
9	514	204
10	568	204
11	574	204