Details

analyze167.0ms (12.3%)

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
49.9%	49.9%	0.1%	5
74.9%	25%	0.1%	6
74.9%	25%	0.1%	7
74.9%	25%	0.1%	8
81.1%	18.7%	0.1%	9
81.1%	18.7%	0.1%	10
81.1%	15.6%	3.3%	11
84.3%	10.9%	4.8%	12
84.3%	10.9%	4.8%	13
84.3%	8.6%	7.2%	14

Compiler

Compiled 13 to 10 computations (23.1% saved)

sample986.0ms (72.3%)

Symmetry

(sort x y)

Results

863.0ms	8256×	body	128	valid
49.0ms	522×	body	128	invalid

Compiler

Compiled 38 to 29 computations (23.7% saved)

simplify26.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

209×	`fma-def_binary64`
157×	`fma-neg_binary64`
56×	`cancel-sign-sub-inv_binary64`
42×	`distribute-rgt-neg-in_binary64`
36×	`associate-/l*_binary64`

Counts

1 → 2

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	15	13
2	26	13
3	39	13
4	66	11
5	109	11
6	198	11
7	307	11
8	429	11
9	522	11
10	578	11
11	593	11
12	596	11
13	513	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	(fma.f64 z -1/8 (/.f64 (*.f64 x y) 2))

Compiler

Compiled 42 to 29 computations (31% saved)

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 z -1/8 (/.f64 (*.f64 x y) 2))

series7.0ms (0.5%)

Counts

1 → 36

Calls

1 calls:

7.0ms

(fma.f64 z -1/8 (/.f64 (*.f64 x y) 2))

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 z -1/8 (/.f64 (*.f64 x y) 2))

simplify56.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

789×	`fma-def_binary64`
653×	`distribute-rgt-in_binary64`
612×	`distribute-lft-in_binary64`
259×	`associate-*l/_binary64`
167×	`fma-neg_binary64`

Counts

46 → 22

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	562
1	39	485
2	77	485
3	238	485
4	933	485
5	4669	485
6	4968	485

prune11.0ms (0.8%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	1	23

Error

0.0b

Counts

23 → 1

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 z -1/8 (/.f64 (*.f64 x y) 2))

Compiler

Compiled 285 to 171 computations (40% saved)

regimes59.0ms (4.3%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

5 → 1

Compiler

Compiled 389 to 297 computations (23.7% saved)

simplify4.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	13	13
2	20	13
3	24	13
4	27	13
5	28	13
6	28	13

end38.0ms (2.8%)

Remove: (sort x y)
Compiler: Compiled 59 to 44 computations (25.4% saved)

Iter	Nodes	Cost
0	10	13
1	15	13
2	26	13
3	39	13
4	66	11
5	109	11
6	198	11
7	307	11
8	429	11
9	522	11
10	578	11
11	593	11
12	596	11
13	513	11

Iter	Nodes	Cost
0	10	13
1	15	13
2	26	13
3	39	13
4	66	11
5	109	11
6	198	11
7	307	11
8	429	11
9	522	11
10	578	11
11	593	11
12	596	11
13	513	11

Details

analyze167.0ms (12.3%)

sample986.0ms (72.3%)

simplify26.0ms (1.9%)

prune3.0ms (0.2%)

localize6.0ms (0.4%)

series7.0ms (0.5%)

rewrite1.0ms (0.1%)

simplify56.0ms (4.1%)

prune11.0ms (0.8%)

regimes59.0ms (4.3%)

simplify4.0ms (0.3%)

end38.0ms (2.8%)

Profiling

Iter	Nodes	Cost
0	10	13
1	15	13
2	26	13
3	39	13
4	66	11
5	109	11
6	198	11
7	307	11
8	429	11
9	522	11
10	578	11
11	593	11
12	596	11
13	513	11