Details

analyze403.0ms (23.2%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
25%	74.9%	0.1%	8
31.2%	64%	4.8%	9
46.8%	47.6%	5.6%	10
53.8%	40.2%	6%	11
57.3%	33.7%	8.9%	12
66.9%	23.9%	9.2%	13
70.3%	20.3%	9.4%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample995.0ms (57.3%)

Results

861.0ms	8254×	body	128	valid
72.0ms	326×	body	128	invalid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify8.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

6×	`fma-def_binary64`
5×	`+-commutative_binary64`
3×	`associate-+r+_binary64`
3×	`associate-+l+_binary64`
1×	`*-commutative_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	14	11
2	24	11
3	26	11
4	26	11

prune3.0ms (0.2%)

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 (fma.f64 x y (/.f64 x 2)) z)

Compiler

Compiled 42 to 26 computations (38.1% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series7.0ms (0.4%)

Counts

1 → 36

Calls

1 calls:

7.0ms

(+.f64 (fma.f64 x y (/.f64 x 2)) z)

rewrite4.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64`
3×	`add-log-exp_binary64`
3×	`fma-def_binary64`
2×	`add-sqr-sqrt_binary64`
2×	`add-cube-cbrt_binary64`

Counts

1 → 18

Calls

1 calls:

3.0ms

(+.f64 (fma.f64 x y (/.f64 x 2)) z)

simplify62.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

643×	`associate-l_binary64`
585×	`distribute-rgt-in_binary64`
552×	`fma-def_binary64`
547×	`fma-neg_binary64`
544×	`distribute-lft-in_binary64`

Counts

54 → 37

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	607
1	100	528
2	226	494
3	764	494
4	3242	494
5	4548	494
6	5037	494

prune24.0ms (1.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	36	1	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	2	38

Error

Counts

38 → 2

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 (fma.f64 x y (/.f64 x 2)) z)
▶	0.0b	(fma.f64 x (+.f64 y 1/2) z)

Compiler

Compiled 529 to 303 computations (42.7% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series6.0ms (0.4%)

Counts

1 → 36

Calls

1 calls:

6.0ms

(fma.f64 x (+.f64 y 1/2) z)

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 (+.f64 y 1/2) z)

simplify103.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

1272×	`distribute-rgt-out_binary64`
913×	`fma-def_binary64`
526×	`associate-l_binary64`
510×	`associate-+l+_binary64`
503×	`associate-+r+_binary64`

Counts

46 → 20

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	463
1	35	363
2	64	363
3	206	363
4	951	363
5	3498	363
6	3574	363
7	3672	363
8	3823	363
9	3952	363
10	4407	363
11	6442	363

prune9.0ms (0.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	20	0	20
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	20	2	22

Error

Counts

22 → 2

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 (fma.f64 x y (/.f64 x 2)) z)
✓	0.0b	(fma.f64 x (+.f64 y 1/2) z)

Compiler

Compiled 191 to 113 computations (40.8% saved)

regimes61.0ms (3.5%)

Accuracy

Total 0.0b remaining (93.5%)

Threshold costs 0.0b (93.5%)

Counts

10 → 1

Compiler

Compiled 519 to 363 computations (30.1% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

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

end39.0ms (2.2%)

Compiler: Compiled 38 to 25 computations (34.2% saved)

Details

analyze403.0ms (23.2%)

sample995.0ms (57.3%)

simplify8.0ms (0.5%)

prune3.0ms (0.2%)

localize5.0ms (0.3%)

series7.0ms (0.4%)

rewrite4.0ms (0.2%)

simplify62.0ms (3.6%)

prune24.0ms (1.4%)

localize4.0ms (0.2%)

series6.0ms (0.4%)

rewrite1.0ms (0%)

simplify103.0ms (5.9%)

prune9.0ms (0.5%)

regimes61.0ms (3.5%)

simplify2.0ms (0.1%)

end39.0ms (2.2%)

Profiling