Details

analyze150.0ms (10.4%)

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%	46.8%	28.2%	7
31.2%	35.9%	32.9%	8
39%	25%	36%	9
42.9%	18.7%	38.3%	10
47.2%	12.9%	39.9%	11
49.4%	9.6%	41.1%	12
51.6%	6.5%	41.9%	13
52.7%	4.8%	42.4%	14

Compiler

Compiled 16 to 10 computations (37.5% saved)

sample889.0ms (61.7%)

Symmetry

(sort x y)

Results

834.0ms	8256×	body	128	valid
22.0ms	207×	body	128	invalid

Compiler

Compiled 47 to 29 computations (38.3% saved)

simplify7.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

33×	`fma-def_binary64`
8×	`*-commutative_binary64`
7×	`+-commutative_binary64`
3×	`associate-+r+_binary64`
3×	`associate-+l+_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	19	14
2	45	12
3	68	12
4	70	12
5	70	12

prune6.0ms (0.4%)

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

Compiler

Compiled 46 to 24 computations (47.8% saved)

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

series6.0ms (0.4%)

Counts

1 → 24

Calls

1 calls:

6.0ms

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

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`*-un-lft-identity_binary64`
1×	`add-sqr-sqrt_binary64`
1×	`add-cube-cbrt_binary64`
1×	`add-cbrt-cube_binary64`
1×	`add-exp-log_binary64`

Counts

1 → 10

Calls

1 calls:

0.0ms

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

simplify40.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

824×	`associate-+l+_binary64`
820×	`associate-+r+_binary64`
311×	`distribute-lft-in_binary64`
310×	`distribute-rgt-in_binary64`
296×	`distribute-rgt-out_binary64`

Counts

34 → 28

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	473
1	48	376
2	92	373
3	310	367
4	1673	367
5	5874	367

prune14.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	27	1	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	2	29

Error

0.0b

Counts

29 → 2

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 x (fma.f64 2 y x) (*.f64 y y))
▶	26.5b	(*.f64 y (fma.f64 2 x y))

Compiler

Compiled 371 to 174 computations (53.1% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series8.0ms (0.6%)

Counts

1 → 24

Calls

1 calls:

8.0ms

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

rewrite3.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`
3×	`*-un-lft-identity_binary64`
3×	`add-cube-cbrt_binary64`

Counts

1 → 22

Calls

1 calls:

3.0ms

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

simplify80.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

613×	`distribute-rgt-in_binary64`
610×	`distribute-lft-in_binary64`
426×	`fma-def_binary64`
354×	`*-commutative_binary64`
330×	`associate-/l/_binary64`

Counts

46 → 32

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	507
1	84	413
2	239	413
3	617	413
4	2304	413
5	2439	413
6	3040	413
7	4552	413
8	4968	413

prune12.0ms (0.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	32	2	34

Error

0.0b

Counts

34 → 2

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 x (fma.f64 2 y x) (*.f64 y y))
✓	26.5b	(*.f64 y (fma.f64 2 x y))

Compiler

Compiled 357 to 195 computations (45.4% saved)

regimes28.0ms (1.9%)

Accuracy

Total 0.0b remaining (16.3%)

Threshold costs 0.0b (16.3%)

Counts

9 → 1

Compiler

Compiled 249 to 158 computations (36.5% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	7	12

end184.0ms (12.8%)

Compiler: Compiled 63 to 35 computations (44.4% saved)

Details

analyze150.0ms (10.4%)

sample889.0ms (61.7%)

simplify7.0ms (0.5%)

prune6.0ms (0.4%)

localize5.0ms (0.4%)

series6.0ms (0.4%)

rewrite1.0ms (0%)

simplify40.0ms (2.8%)

prune14.0ms (1%)

localize4.0ms (0.3%)

series8.0ms (0.6%)

rewrite3.0ms (0.2%)

simplify80.0ms (5.6%)

prune12.0ms (0.8%)

regimes28.0ms (1.9%)

simplify3.0ms (0.2%)

end184.0ms (12.8%)

Profiling