Details

analyze1.2s (31.9%)

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
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
0%	99.9%	0.1%	9
0%	99.9%	0.1%	10
0%	99.9%	0.1%	11
0%	99.9%	0.1%	12
0%	99.9%	0.1%	13
0%	99.9%	0.1%	14

Compiler

Compiled 10 to 6 computations (40% saved)

sample862.0ms (23%)

Results

746.0ms

8256×

body

128

valid

Compiler

Compiled 29 to 17 computations (41.4% saved)

simplify78.0ms (2.1%)

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%)

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 (0.1%)

Local error

Found 1 expressions with local error:

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

series9.0ms (0.2%)

Counts

1 → 24

Calls

1 calls:

9.0ms

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

rewrite9.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64`
22×	`add-sqr-sqrt_binary64`
20×	`times-frac_binary64`
12×	`add-cube-cbrt_binary64`
6×	`distribute-lft-out_binary64`

Counts

1 → 48

Calls

1 calls:

6.0ms

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

simplify73.0ms (2%)

Algorithm

1×	egg-herbie

Rules

610×	`div-sub_binary64`
586×	`fma-neg_binary64`
530×	`cancel-sign-sub-inv_binary64`
194×	`distribute-neg-frac_binary64`
184×	`fma-def_binary64`

Counts

72 → 59

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	106	1287
1	283	1239
2	748	1195
3	2488	1183
4	4383	1183
5	5485	1183

prune37.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	58	1	59
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	58	2	60

Error

Counts

60 → 2

Alt Table

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

Compiler

Compiled 919 to 280 computations (69.5% saved)

localize263.0ms (7%)

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)))

series29.0ms (0.8%)

Counts

3 → 72

Calls

3 calls:

11.0ms	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
9.0ms	(/.f64 x (+.f64 x y))
9.0ms	(/.f64 y (+.f64 x y))

rewrite378.0ms (10.1%)

Algorithm

1×	rewrite-expression-head

Rules

595×	`*-un-lft-identity_binary64`
496×	`times-frac_binary64`
339×	`add-sqr-sqrt_binary64`
327×	`add-cube-cbrt_binary64`
324×	`prod-diff_binary64`

Counts

3 → 459

Calls

3 calls:

251.0ms	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
3.0ms	(/.f64 y (+.f64 x y))
3.0ms	(/.f64 x (+.f64 x y))

simplify436.0ms (11.6%)

Algorithm

1×	egg-herbie

Rules

764×	`fma-neg_binary64`
542×	`times-frac_binary64`
251×	`unsub-neg_binary64`
239×	`sub-neg_binary64`
210×	`fma-udef_binary64`

Counts

531 → 449

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	463	25191
1	1077	16096
2	2498	11283
3	4634	11271
4	4896	11271

prune265.0ms (7.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	449	0	449
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	449	2	451

Error

Counts

451 → 2

Alt Table

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

Compiler

Compiled 18631 to 3273 computations (82.4% saved)

regimes60.0ms (1.6%)

Accuracy

Total 0.0b remaining (39.7%)

Threshold costs 0.0b (39.7%)

Counts

21 → 1

Compiler

Compiled 994 to 529 computations (46.8% saved)

simplify3.0ms (0.1%)

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

end42.0ms (1.1%)

Compiler: Compiled 48 to 23 computations (52.1% saved)

Details

analyze1.2s (31.9%)

sample862.0ms (23%)

simplify78.0ms (2.1%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series9.0ms (0.2%)

rewrite9.0ms (0.2%)

simplify73.0ms (2%)

prune37.0ms (1%)

localize263.0ms (7%)

series29.0ms (0.8%)

rewrite378.0ms (10.1%)

simplify436.0ms (11.6%)

prune265.0ms (7.1%)

regimes60.0ms (1.6%)

simplify3.0ms (0.1%)

end42.0ms (1.1%)

Profiling