Details

analyze56.0ms (3.2%)

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
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
59.3%	40.6%	0.1%	6
76.5%	23.4%	0.1%	7
82%	18%	0.1%	8
87.8%	12.1%	0.1%	9
90.7%	9.2%	0.1%	10
93.8%	6.1%	0.1%	11
95.3%	4.6%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

Compiler

Compiled 10 to 6 computations (40% saved)

sample863.0ms (49.9%)

Results

743.0ms

8256×

body

128

valid

Compiler

Compiled 29 to 17 computations (41.4% saved)

simplify75.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

801×	`fma-def_binary64`
511×	`fma-neg_binary64`
365×	`times-frac_binary64`
331×	`div-sub_binary64`
156×	`associate-/l*_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	12	10
2	19	10
3	30	10
4	52	10
5	81	10
6	124	10
7	191	10
8	300	10
9	641	10
10	822	10
11	1299	10
12	1328	10
13	1343	10
14	1357	10
15	1377	10
16	1377	10
17	1276	10

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.0b	(/.f64 (-.f64 x y) (+.f64 x y))

Compiler

Compiled 27 to 15 computations (44.4% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series7.0ms (0.4%)

Counts

1 → 24

Calls

1 calls:

7.0ms

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

rewrite113.0ms (6.6%)

Algorithm

1×	batch-egg-rewrite

Rules

898×	`expm1-log1p-u_binary64`
768×	`prod-diff_binary64`
234×	`egg-rr`
76×	`add-sqr-sqrt_binary64`
73×	`log1p-expm1-u_binary64`

Counts

1 → 234

Calls

1 calls:

103.0ms

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	143	10
2	2180	10
3	5409	10

simplify54.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

827×	`associate-/l*_binary64`
533×	`fma-def_binary64`
454×	`cancel-sign-sub-inv_binary64`
411×	`associate-/r/_binary64`
334×	`fma-neg_binary64`

Counts

258 → 248

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	414
1	107	408
2	329	366
3	1344	324
4	4841	324
5	5073	324

prune130.0ms (7.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	247	1	248
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	248	1	249

Error

Counts

249 → 1

Alt Table

Status	Error	Program
▶	0b	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))

Compiler

Compiled 11865 to 2623 computations (77.9% saved)

localize5.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

series23.0ms (1.3%)

Counts

3 → 72

Calls

3 calls:

9.0ms	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
7.0ms	(/.f64 y (+.f64 x y))
7.0ms	(/.f64 x (+.f64 x y))

rewrite82.0ms (4.8%)

Algorithm

1×	batch-egg-rewrite

Rules

498×	`fma-def_binary64`
256×	`fma-neg_binary64`
239×	`egg-rr`
239×	`log-div_binary64`
172×	`expm1-udef_binary64`

Counts

3 → 239

Calls

3 calls:

77.0ms	(/.f64 x (+.f64 x y))
77.0ms	(/.f64 y (+.f64 x y))
77.0ms	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	24
1	175	24
2	2847	24
3	5053	24

simplify77.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

610×	`fma-neg_binary64`
453×	`associate-/r/_binary64`
270×	`distribute-neg-frac_binary64`
225×	`distribute-rgt-neg-in_binary64`
221×	`distribute-lft-neg-in_binary64`

Counts

311 → 277

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	56	1290
1	177	1284
2	525	1095
3	2077	1008
4	4888	1008
5	5057	1008

prune122.0ms (7.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	277	0	277
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	277	1	278

Error

Counts

278 → 1

Alt Table

Status	Error	Program
✓	0b	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))

Compiler

Compiled 5730 to 1467 computations (74.4% saved)

regimes81.0ms (4.7%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

32 → 1

Compiler

Compiled 1223 to 792 computations (35.2% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	16
1	10	16
2	17	16
3	21	16
4	24	16
5	25	16
6	25	16

end31.0ms (1.8%)

Compiler: Compiled 39 to 18 computations (53.8% saved)

Details

analyze56.0ms (3.2%)

sample863.0ms (49.9%)

simplify75.0ms (4.3%)

prune1.0ms (0.1%)

localize4.0ms (0.2%)

series7.0ms (0.4%)

rewrite113.0ms (6.6%)

simplify54.0ms (3.1%)

prune130.0ms (7.5%)

localize5.0ms (0.3%)

series23.0ms (1.3%)

rewrite82.0ms (4.8%)

simplify77.0ms (4.4%)

prune122.0ms (7.1%)

regimes81.0ms (4.7%)

simplify4.0ms (0.2%)

end31.0ms (1.8%)

Profiling