Details

analyze101.0ms (7.5%)

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)

sample849.0ms (63.5%)

Results

819.0ms	8256×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 41 to 26 computations (36.6% saved)

simplify6.0ms (0.5%)

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

prune3.0ms (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 (.f64 x 2) (.f64 x x)) (*.f64 y y))
▶	0.0b	(fma.f64 x (+.f64 x 2) (*.f64 y y))

Compiler

Compiled 67 to 39 computations (41.8% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series6.0ms (0.4%)

Counts

1 → 24

Calls

1 calls:

6.0ms

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

rewrite102.0ms (7.6%)

Algorithm

1×	batch-egg-rewrite

Rules

689×	`log1p-expm1-u_binary64`
689×	`expm1-log1p-u_binary64`
176×	`prod-diff_binary64`
150×	`fma-udef_binary64`
133×	`expm1-udef_binary64`

Counts

1 → 23

Calls

1 calls:

102.0ms

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	150	11
2	1741	11
3	4983	11
4	4914	11
5	4914	11

simplify132.0ms (9.9%)

Algorithm

1×	egg-herbie

Rules

830×	`sqr-pow_binary64`
640×	`fabs-mul_binary64`
628×	`cube-prod_binary64`
511×	`fma-def_binary64`
426×	`associate-l_binary64`

Counts

47 → 33

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	300
1	24	214
2	47	214
3	77	214
4	157	214
5	349	214
6	980	214
7	1338	214
8	1540	214
9	1761	214
10	2033	214
11	2354	214
12	2786	214
13	3252	214
14	4007	214
15	4298	214
16	4641	214
17	4994	214
18	4817	214

prune18.0ms (1.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	32	1	33
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	33	2	35

Error

Counts

35 → 2

Alt Table

Status	Error	Program
▶	17.8b	(fma.f64 y y (*.f64 2 x))
✓	0.0b	(fma.f64 x (+.f64 x 2) (*.f64 y y))

Compiler

Compiled 400 to 223 computations (44.3% saved)

localize5.0ms (0.4%)

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

Counts

2 → 2

Alt Table

Status	Error	Program
✓	17.8b	(fma.f64 y y (*.f64 2 x))
✓	0.0b	(fma.f64 x (+.f64 x 2) (*.f64 y y))

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes63.0ms (4.7%)

Accuracy

Total 0.0b remaining (33.7%)

Threshold costs 0.0b (33.7%)

Counts

10 → 1

Compiler

Compiled 487 to 329 computations (32.4% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	8	11
2	8	11

end44.0ms (3.3%)

Compiler: Compiled 38 to 23 computations (39.5% saved)

Details

analyze101.0ms (7.5%)

sample849.0ms (63.5%)

simplify6.0ms (0.5%)

prune3.0ms (0.2%)

localize5.0ms (0.3%)

series6.0ms (0.4%)

rewrite102.0ms (7.6%)

simplify132.0ms (9.9%)

prune18.0ms (1.3%)

localize5.0ms (0.4%)

prune1.0ms (0.1%)

regimes63.0ms (4.7%)

simplify2.0ms (0.2%)

end44.0ms (3.3%)

Profiling