Details

analyze146.0ms (11.6%)

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)

sample860.0ms (68.6%)

Symmetry

(sort x y)

Results

802.0ms	8256×	body	128	valid
21.0ms	211×	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

prune3.0ms (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

0.0b

Counts

3 → 2

Alt Table

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

Compiler

Compiled 76 to 42 computations (44.7% saved)

localize11.0ms (0.9%)

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 (0.5%)

Counts

1 → 24

Calls

1 calls:

6.0ms

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

rewrite1.0ms (0.1%)

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))

simplify38.0ms (3.1%)

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

prune18.0ms (1.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	27	1	28
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	28	2	30

Error

Counts

30 → 2

Alt Table

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

Compiler

Compiled 377 to 176 computations (53.3% saved)

localize8.0ms (0.6%)

Local error

Found 1 expressions with local error:

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

series6.0ms (0.5%)

Counts

1 → 24

Calls

1 calls:

6.0ms

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

rewrite1.0ms (0.1%)

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

simplify36.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

824×	`associate-+l+_binary64`
820×	`associate-+r+_binary64`
313×	`distribute-lft-in_binary64`
313×	`distribute-rgt-in_binary64`
298×	`distribute-rgt-out_binary64`

Counts

34 → 28

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	473
1	49	373
2	98	367
3	316	367
4	1706	367
5	5952	367

prune19.0ms (1.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	28	0	28
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	28	2	30

Error

Counts

30 → 2

Alt Table

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

Compiler

Compiled 366 to 170 computations (53.6% saved)

regimes41.0ms (3.2%)

Accuracy

Total 0.0b remaining (70.1%)

Threshold costs 0.0b (70.1%)

Counts

11 → 1

Compiler

Compiled 309 to 191 computations (38.2% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	7	12

end51.0ms (4%)

Remove: (sort x y)
Compiler: Compiled 66 to 36 computations (45.5% saved)

Details

analyze146.0ms (11.6%)

sample860.0ms (68.6%)

simplify7.0ms (0.5%)

prune3.0ms (0.3%)

localize11.0ms (0.9%)

series6.0ms (0.5%)

rewrite1.0ms (0.1%)

simplify38.0ms (3.1%)

prune18.0ms (1.4%)

localize8.0ms (0.6%)

series6.0ms (0.5%)

rewrite1.0ms (0.1%)

simplify36.0ms (2.9%)

prune19.0ms (1.6%)

regimes41.0ms (3.2%)

simplify2.0ms (0.2%)

end51.0ms (4%)

Profiling