Details

analyze114.0ms (7.7%)

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)

sample982.0ms (66.2%)

Symmetry

(sort x y)

Results

930.0ms	8255×	body	128	valid
6.0ms	78×	body	128	invalid
0.0ms	1×	body	1024	valid

Compiler

Compiled 29 to 17 computations (41.4% saved)

simplify46.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

249×	`fma-neg_binary64`
175×	`fma-def_binary64`
55×	`cancel-sign-sub-inv_binary64`
39×	`sub-neg_binary64`
38×	`associate--r+_binary64`

Counts

1 → 2

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	15	10
2	31	10
3	61	9
4	115	8
5	233	8
6	323	8
7	436	8
8	529	8
9	556	8
10	557	8
11	518	8

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

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.0b	(-.f64 (+.f64 x y) (*.f64 x y))
	0.0b	(fma.f64 x (-.f64 1 y) y)

Compiler

Compiled 49 to 28 computations (42.9% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series7.0ms (0.5%)

Counts

1 → 24

Calls

1 calls:

7.0ms

(-.f64 (+.f64 x y) (*.f64 x y))

rewrite6.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64`
6×	`add-log-exp_binary64`
4×	`fma-neg_binary64`
4×	`prod-diff_binary64`
3×	`add-sqr-sqrt_binary64`

Counts

1 → 24

Calls

1 calls:

5.0ms

(-.f64 (+.f64 x y) (*.f64 x y))

simplify69.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

665×	`fma-neg_binary64`
575×	`unsub-neg_binary64`
343×	`times-frac_binary64`
282×	`*-commutative_binary64`
271×	`neg-sub0_binary64`

Counts

48 → 47

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	575
1	150	536
2	447	442
3	1750	441
4	3007	441
5	4658	441
6	5034	441

prune21.0ms (1.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	46	1	47
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	48	1	49

Error

Counts

49 → 1

Alt Table

Status	Error	Program
▶	0b	(fma.f64 y (-.f64 1 x) x)

Compiler

Compiled 584 to 181 computations (69% saved)

localize4.0ms (0.2%)

prune1.0ms (0.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	0	0
Total	1	1

Error

Counts

1 → 1

Alt Table

Status	Error	Program
✓	0b	(fma.f64 y (-.f64 1 x) x)

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes29.0ms (2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

9 → 1

Compiler

Compiled 207 to 129 computations (37.7% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-commutative_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	10	8
2	14	8
3	16	8
4	17	8
5	16	8

end197.0ms (13.3%)

Compiler: Compiled 40 to 25 computations (37.5% saved)

Iter	Nodes	Cost
0	6	10
1	15	10
2	31	10
3	61	9
4	115	8
5	233	8
6	323	8
7	436	8
8	529	8
9	556	8
10	557	8
11	518	8

Iter	Nodes	Cost
0	6	10
1	15	10
2	31	10
3	61	9
4	115	8
5	233	8
6	323	8
7	436	8
8	529	8
9	556	8
10	557	8
11	518	8

Details

analyze114.0ms (7.7%)

sample982.0ms (66.2%)

simplify46.0ms (3.1%)

prune3.0ms (0.2%)

localize4.0ms (0.3%)

series7.0ms (0.5%)

rewrite6.0ms (0.4%)

simplify69.0ms (4.6%)

prune21.0ms (1.4%)

localize4.0ms (0.2%)

prune1.0ms (0.1%)

regimes29.0ms (2%)

simplify2.0ms (0.1%)

end197.0ms (13.3%)

Profiling

Iter	Nodes	Cost
0	6	10
1	15	10
2	31	10
3	61	9
4	115	8
5	233	8
6	323	8
7	436	8
8	529	8
9	556	8
10	557	8
11	518	8