Details

analyze127.0ms (8.1%)

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)

sample1.1s (68.1%)

Symmetry

(sort re im)

Results

924.0ms

8256×

body

128

valid

Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify6.0ms (0.4%)

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 re im)

Compiler

Compiled 23 to 13 computations (43.5% saved)

localize2.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(hypot.f64 re im)

series12.0ms (0.7%)

Counts

1 → 24

Calls

1 calls:

12.0ms

(hypot.f64 re im)

rewrite1.0ms (0%)

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 re im)

simplify55.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

943×	`fma-neg_binary64`
529×	`cancel-sign-sub-inv_binary64`
273×	`associate-/r/_binary64`
262×	`distribute-rgt-neg-in_binary64`
259×	`distribute-lft-neg-in_binary64`

Counts

34 → 42

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	64	568
1	177	541
2	507	525
3	2142	525
4	4490	525
5	5063	525

prune19.0ms (1.2%)

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 re im)
▶	0.5b	(*.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)))

Compiler

Compiled 567 to 337 computations (40.6% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(hypot.f64 re im)
✓	0.5b	(*.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)))

series9.0ms (0.6%)

Counts

1 → 24

Calls

1 calls:

9.0ms

(*.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)))

rewrite8.0ms (0.5%)

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:

5.0ms

(*.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)))

simplify80.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

692×	`fma-neg_binary64`
529×	`cancel-sign-sub-inv_binary64`
315×	`neg-mul-1_binary64`
262×	`distribute-rgt-neg-in_binary64`
259×	`distribute-lft-neg-in_binary64`

Counts

77 → 89

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	94	941
1	225	885
2	649	856
3	2474	824
4	4354	824
5	4970	824
6	4937	824

prune68.0ms (4.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	173	0	173
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	173	2	175

Error

Counts

175 → 2

Alt Table

Status	Error	Program
✓	0.0b	(hypot.f64 re im)
✓	0.5b	(*.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)))

Compiler

Compiled 2812 to 1235 computations (56.1% saved)

regimes68.0ms (4.3%)

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

end38.0ms (2.4%)

Remove: (sort re im)
Compiler: Compiled 36 to 20 computations (44.4% saved)

Details

analyze127.0ms (8.1%)

sample1.1s (68.1%)

simplify6.0ms (0.4%)

prune3.0ms (0.2%)

localize2.0ms (0.1%)

series12.0ms (0.7%)

rewrite1.0ms (0%)

simplify55.0ms (3.5%)

prune19.0ms (1.2%)

localize4.0ms (0.2%)

series9.0ms (0.6%)

rewrite8.0ms (0.5%)

simplify80.0ms (5.1%)

prune68.0ms (4.4%)

regimes68.0ms (4.3%)

simplify2.0ms (0.1%)

end38.0ms (2.4%)

Profiling