Details

analyze124.0ms (9.6%)

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
56.2%	43.7%	0.1%	7
65.6%	34.3%	0.1%	8
76.5%	23.4%	0.1%	9
82%	18%	0.1%	10
87.8%	12.1%	0.1%	11
90.7%	9.2%	0.1%	12
93.8%	6.1%	0.1%	13
95.3%	4.6%	0.1%	14

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample806.0ms (62%)

Symmetry

(sort x y)

Results

773.0ms

8256×

body

128

valid

Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify6.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

2×	`hypot-def_binary64`
2×	`fma-def_binary64`
1×	`+-commutative_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	4
1	10	4
2	12	4
3	12	4

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	(hypot.f64 x y)

Compiler

Compiled 23 to 13 computations (43.5% saved)

localize2.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series10.0ms (0.8%)

Counts

1 → 24

Calls

1 calls:

10.0ms

(hypot.f64 x y)

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

(hypot.f64 x y)

simplify52.0ms (4%)

Algorithm

1×	egg-herbie

Rules

755×	`fma-neg_binary64`
537×	`cancel-sign-sub-inv_binary64`
354×	`neg-mul-1_binary64`
312×	`distribute-rgt-neg-in_binary64`
310×	`distribute-lft-neg-in_binary64`

Counts

34 → 42

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	63	568
1	174	541
2	511	525
3	2175	525
4	4416	525
5	5032	525

prune18.0ms (1.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	2	43

Error

Counts

43 → 2

Alt Table

Status	Error	Program
✓	0.0b	(hypot.f64 x y)
▶	0.5b	(*.f64 (sqrt.f64 (hypot.f64 x y)) (sqrt.f64 (hypot.f64 x y)))

Compiler

Compiled 567 to 337 computations (40.6% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(hypot.f64 x y)
✓	0.5b	(*.f64 (sqrt.f64 (hypot.f64 x y)) (sqrt.f64 (hypot.f64 x y)))

series8.0ms (0.6%)

Counts

1 → 24

Calls

1 calls:

8.0ms

(*.f64 (sqrt.f64 (hypot.f64 x y)) (sqrt.f64 (hypot.f64 x y)))

rewrite9.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64`
18×	`sqrt-prod_binary64`
16×	`pow1_binary64`
9×	`*-un-lft-identity_binary64`
9×	`add-cube-cbrt_binary64`

Counts

1 → 53

Calls

1 calls:

6.0ms

(*.f64 (sqrt.f64 (hypot.f64 x y)) (sqrt.f64 (hypot.f64 x y)))

simplify82.0ms (6.3%)

Algorithm

1×	egg-herbie

Rules

650×	`fma-neg_binary64`
537×	`cancel-sign-sub-inv_binary64`
312×	`distribute-rgt-neg-in_binary64`
262×	`distribute-neg-frac_binary64`
197×	`associate-l_binary64`

Counts

77 → 90

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	93	991
1	222	889
2	653	855
3	2507	839
4	4786	832
5	4952	832
6	4950	832

prune66.0ms (5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	174	2	176

Error

Counts

176 → 2

Alt Table

Status	Error	Program
✓	0.0b	(hypot.f64 x y)
✓	0.5b	(*.f64 (sqrt.f64 (hypot.f64 x y)) (sqrt.f64 (hypot.f64 x y)))

Compiler

Compiled 2829 to 1239 computations (56.2% saved)

regimes68.0ms (5.2%)

Accuracy

Total 0.0b remaining (28.1%)

Threshold costs 0.0b (28.1%)

Counts

8 → 1

Compiler

Compiled 483 to 317 computations (34.4% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	4	4

end39.0ms (3%)

Remove: (sort x y)
Compiler: Compiled 36 to 20 computations (44.4% saved)

Details

analyze124.0ms (9.6%)

sample806.0ms (62%)

simplify6.0ms (0.5%)

prune3.0ms (0.2%)

localize2.0ms (0.2%)

series10.0ms (0.8%)

rewrite1.0ms (0.1%)

simplify52.0ms (4%)

prune18.0ms (1.4%)

localize4.0ms (0.3%)

series8.0ms (0.6%)

rewrite9.0ms (0.7%)

simplify82.0ms (6.3%)

prune66.0ms (5%)

regimes68.0ms (5.2%)

simplify2.0ms (0.1%)

end39.0ms (3%)

Profiling