Details

analyze141.0ms (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
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)

sample877.0ms (36.1%)

Results

751.0ms

8256×

body

128

valid

Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify58.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

959×	`fma-neg_binary64`
595×	`times-frac_binary64`
494×	`neg-mul-1_binary64`
491×	`neg-sub0_binary64`
301×	`associate-/l*_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	19	13
2	52	10
3	113	10
4	203	10
5	436	10
6	758	10
7	2592	10
8	4299	10
9	5002	10

prune3.0ms (0.1%)

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

Compiler

Compiled 36 to 26 computations (27.8% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series6.0ms (0.3%)

Counts

1 → 24

Calls

1 calls:

6.0ms

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

rewrite85.0ms (3.5%)

Algorithm

2×	batch-egg-rewrite

Rules

894×	`prod-diff_binary64`
310×	`fma-def_binary64`
198×	`fma-neg_binary64`
167×	`expm1-udef_binary64`
167×	`log1p-udef_binary64`

Counts

1 → 67

Calls

1 calls:

84.0ms

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	187	10
2	2488	10
3	4876	10
4	5021	10
0	0	0
1	0	0

simplify25.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Counts

91 → 71

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	204
1	27	204
2	41	204
3	59	204
4	83	204
5	118	204
6	184	204
7	233	204
8	280	204
9	288	204
10	306	204
11	312	204
12	284	204

prune35.0ms (1.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	70	2	72

Error

Counts

72 → 2

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
▶	1.3b	(pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) 3)

Compiler

Compiled 981 to 679 computations (30.8% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
✓	0.6b	(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
✓	0.7b	(pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) 3)

series845.0ms (34.8%)

Counts

2 → 48

Calls

2 calls:

811.0ms	(pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) 3)
34.0ms	(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))

rewrite68.0ms (2.8%)

Algorithm

2×	batch-egg-rewrite

Rules

894×	`prod-diff_binary64`
196×	`log1p-udef_binary64`
111×	`add-sqr-sqrt_binary64`
111×	`log1p-expm1-u_binary64`
111×	`expm1-log1p-u_binary64`

Counts

2 → 89

Calls

2 calls:

66.0ms	(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
66.0ms	(pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) 3)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	234	22
2	2908	22
3	4870	22
0	0	0
1	0	0

simplify71.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

626×	`times-frac_binary64`
398×	`associate-/l*_binary64`
395×	`fma-def_binary64`
358×	`associate-/r*_binary64`
272×	`fma-neg_binary64`

Counts

137 → 147

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	151	1586
1	476	1446
2	1546	1394
3	4836	1392
4	4994	1392

prune128.0ms (5.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	218	0	218
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	218	2	220

Error

Counts

220 → 2

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
✓	1.3b	(pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) 3)

Compiler

Compiled 4050 to 3024 computations (25.3% saved)

regimes34.0ms (1.4%)

Accuracy

Total 0.0b remaining (11.9%)

Threshold costs 0.0b (11.9%)

Counts

10 → 1

Compiler

Compiled 265 to 208 computations (21.5% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	9	10
2	9	10

end40.0ms (1.7%)

Compiler: Compiled 39 to 31 computations (20.5% saved)

Iter	Nodes	Cost
0	13	204
1	27	204
2	41	204
3	59	204
4	83	204
5	118	204
6	184	204
7	233	204
8	280	204
9	288	204
10	306	204
11	312	204
12	284	204

Iter	Nodes	Cost
0	13	204
1	27	204
2	41	204
3	59	204
4	83	204
5	118	204
6	184	204
7	233	204
8	280	204
9	288	204
10	306	204
11	312	204
12	284	204

Details

analyze141.0ms (5.8%)

sample877.0ms (36.1%)

simplify58.0ms (2.4%)

prune3.0ms (0.1%)

localize4.0ms (0.2%)

series6.0ms (0.3%)

rewrite85.0ms (3.5%)

simplify25.0ms (1%)

prune35.0ms (1.4%)

localize7.0ms (0.3%)

series845.0ms (34.8%)

rewrite68.0ms (2.8%)

simplify71.0ms (2.9%)

prune128.0ms (5.3%)

regimes34.0ms (1.4%)

simplify2.0ms (0.1%)

end40.0ms (1.7%)

Profiling

Iter	Nodes	Cost
0	13	204
1	27	204
2	41	204
3	59	204
4	83	204
5	118	204
6	184	204
7	233	204
8	280	204
9	288	204
10	306	204
11	312	204
12	284	204