Details

analyze133.0ms (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
37.5%	62.4%	0.1%	6
50%	48.4%	1.7%	7
59.3%	35.9%	4.8%	8
67.1%	25%	7.9%	9
72.6%	18.3%	9.1%	10
76.9%	12.5%	10.6%	11
79.8%	9.3%	10.9%	12
82%	6.2%	11.7%	13
83.6%	4.7%	11.8%	14

Compiler

Compiled 10 to 6 computations (40% saved)

sample700.0ms (61%)

Symmetry

(sort x y)

Results

659.0ms	8255×	body	128	valid
7.0ms	91×	body	128	invalid
0.0ms	1×	body	1024	valid

Compiler

Compiled 29 to 17 computations (41.4% saved)

simplify8.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

48×	`fma-def_binary64`
6×	`+-commutative_binary64`
6×	`*-commutative_binary64`
6×	`distribute-rgt-in_binary64`
4×	`associate-r_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	12	8
2	24	8
3	33	8
4	43	8
5	48	8
6	62	8
7	79	8
8	84	8
9	85	8
10	83	8

prune6.0ms (0.6%)

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 y (fma.f64 x y x))

Compiler

Compiled 31 to 15 computations (51.6% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series4.0ms (0.4%)

Counts

1 → 24

Calls

1 calls:

4.0ms

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

rewrite3.0ms (0.3%)

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:

2.0ms

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

simplify63.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

956×	`fma-def_binary64`
933×	`fma-neg_binary64`
863×	`distribute-rgt-in_binary64`
805×	`distribute-lft-in_binary64`
421×	`associate-l_binary64`

Counts

42 → 35

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	378
1	98	351
2	237	351
3	869	351
4	4044	351
5	4790	351
6	5117	351

prune19.0ms (1.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	2	36

Error

Counts

36 → 2

Alt Table

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

Compiler

Compiled 385 to 105 computations (72.7% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series4.0ms (0.4%)

Counts

1 → 24

Calls

1 calls:

4.0ms

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

rewrite3.0ms (0.3%)

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:

2.0ms

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

simplify95.0ms (8.2%)

Algorithm

1×	egg-herbie

Rules

621×	`fma-neg_binary64`
530×	`associate-+l+_binary64`
494×	`associate-+r+_binary64`
444×	`associate-l_binary64`
428×	`cancel-sign-sub-inv_binary64`

Counts

42 → 35

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	379
1	95	358
2	255	350
3	933	350
4	3221	350
5	4503	350
6	4870	350
7	4989	350
8	4955	350

prune13.0ms (1.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	35	2	37

Error

Counts

37 → 2

Alt Table

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

Compiler

Compiled 400 to 102 computations (74.5% saved)

regimes46.0ms (4%)

Accuracy

Total 0.0b remaining (96.8%)

Threshold costs 0.0b (96.8%)

Counts

15 → 1

Compiler

Compiled 351 to 201 computations (42.7% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	6	8
2	6	8

end40.0ms (3.5%)

Remove: (sort x y)
Compiler: Compiled 48 to 24 computations (50% saved)

Details

analyze133.0ms (11.6%)

sample700.0ms (61%)

simplify8.0ms (0.7%)

prune6.0ms (0.6%)

localize4.0ms (0.3%)

series4.0ms (0.4%)

rewrite3.0ms (0.3%)

simplify63.0ms (5.5%)

prune19.0ms (1.6%)

localize4.0ms (0.3%)

series4.0ms (0.4%)

rewrite3.0ms (0.3%)

simplify95.0ms (8.2%)

prune13.0ms (1.2%)

regimes46.0ms (4%)

simplify2.0ms (0.2%)

end40.0ms (3.5%)

Profiling