Details

analyze218.0ms (10.2%)

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
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	62.4%	12.6%	6
25%	40.6%	34.4%	7
31.2%	25%	43.8%	8
39%	17.2%	43.8%	9
42.9%	13.3%	43.8%	10
47.2%	9%	43.8%	11
49.4%	6.8%	43.8%	12
51.6%	4.6%	43.8%	13
52.7%	3.5%	43.8%	14

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample1.4s (65.8%)

Results

1.4s	8256×	body	128	valid
1.0ms	6×	body	128	invalid

Compiler

Compiled 41 to 26 computations (36.6% saved)

simplify14.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

14×	`fma-def_binary64`
6×	`+-commutative_binary64`
3×	`associate-+r+_binary64`
3×	`associate-+l+_binary64`
2×	`*-commutative_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	17	11
2	32	11
3	38	11
4	38	11

prune5.0ms (0.3%)

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

Counts

3 → 2

Alt Table

Status	Error	Program
	0.0b	(fma.f64 x (+.f64 x 2) (*.f64 y y))
▶	0.0b	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))

Compiler

Compiled 67 to 39 computations (41.8% saved)

localize15.0ms (0.7%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 x 2) (.f64 x x))

series5.0ms (0.2%)

Counts

1 → 12

Calls

1 calls:

5.0ms

(+.f64 (*.f64 x 2) (*.f64 x x))

rewrite78.0ms (3.7%)

Algorithm

2×	batch-egg-rewrite

Rules

861×	`prod-diff_binary64`
633×	`log1p-expm1-u_binary64`
633×	`expm1-log1p-u_binary64`
65×	`add-sqr-sqrt_binary64`
62×	`add-log-exp_binary64`

Counts

1 → 41

Calls

1 calls:

77.0ms

(+.f64 (*.f64 x 2) (*.f64 x x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	133	7
2	1605	7
3	5390	7
0	0	0
1	0	0

simplify172.0ms (8%)

Algorithm

1×	egg-herbie

Rules

1108×	`sqr-pow_binary64`
573×	`fabs-mul_binary64`
560×	`cube-prod_binary64`
536×	`pow-sqr_binary64`
481×	`fma-def_binary64`

Counts

53 → 46

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	102
1	13	75
2	26	75
3	44	75
4	89	75
5	212	75
6	613	75
7	1209	75
8	1318	75
9	1472	75
10	1642	75
11	1822	75
12	2042	75
13	2325	75
14	2747	75
15	3319	75
16	4013	75
17	4232	75
18	4476	75
19	4558	75
20	4591	75
21	4612	75
22	5181	75

prune54.0ms (2.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	45	1	46
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	47	1	48

Error

Counts

48 → 1

Alt Table

Status	Error	Program
▶	0b	(+.f64 (fma.f64 x x (.f64 x 2)) (.f64 y y))

Compiler

Compiled 728 to 411 computations (43.5% saved)

localize11.0ms (0.5%)

prune3.0ms (0.2%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	0	0
Total	1	1

Error

Counts

1 → 1

Alt Table

Status	Error	Program
✓	0b	(+.f64 (fma.f64 x x (.f64 x 2)) (.f64 y y))

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes84.0ms (3.9%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

6 → 1

Compiler

Compiled 376 to 232 computations (38.3% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	10	14
2	10	14

end68.0ms (3.2%)

Compiler: Compiled 36 to 21 computations (41.7% saved)

Details

analyze218.0ms (10.2%)

sample1.4s (65.8%)

simplify14.0ms (0.7%)

prune5.0ms (0.3%)

localize15.0ms (0.7%)

series5.0ms (0.2%)

rewrite78.0ms (3.7%)

simplify172.0ms (8%)

prune54.0ms (2.5%)

localize11.0ms (0.5%)

prune3.0ms (0.2%)

regimes84.0ms (3.9%)

simplify4.0ms (0.2%)

end68.0ms (3.2%)

Profiling