Details

analyze76.0ms (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
25%	74.9%	0.1%	5
25%	50%	25.1%	6
25%	31.2%	43.8%	7
31.2%	25%	43.8%	8
39%	17.2%	43.8%	9
42.9%	13.3%	43.8%	10
47.2%	9%	43.8%	11
49.4%	6.8%	43.8%	12
51.6%	4.6%	43.8%	13
52.7%	3.5%	43.8%	14

Compiler

Compiled 10 to 6 computations (40% saved)

sample30.0ms (3.6%)

Algorithm

1×

intervals

Symmetry

(sort x y)

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 21 to 13 computations (38.1% saved)

simplify6.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	8	8
2	9	8
3	9	8

prune4.0ms (0.4%)

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 x x (*.f64 y y))

Compiler

Compiled 31 to 14 computations (54.8% saved)

localize4.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

series6.0ms (0.7%)

Counts

1 → 24

Calls

1 calls:

6.0ms

(fma.f64 x x (*.f64 y 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

(fma.f64 x x (*.f64 y y))

simplify62.0ms (7.3%)

Algorithm

1×	egg-herbie

Rules

808×	`associate-l_binary64`
644×	`associate-+l+_binary64`
599×	`associate-r_binary64`
588×	`associate-+r+_binary64`
575×	`fma-def_binary64`

Counts

34 → 23

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	292
1	27	263
2	59	263
3	141	263
4	506	263
5	2877	263
6	4856	263
7	4984	263

prune10.0ms (1.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	22	1	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	2	24

Error

Counts

24 → 2

Alt Table

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

Compiler

Compiled 238 to 64 computations (73.1% saved)

localize3.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

series48.0ms (5.7%)

Counts

1 → 24

Calls

1 calls:

48.0ms

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

rewrite6.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`pow1_binary64`
7×	`add-sqr-sqrt_binary64`
5×	`*-un-lft-identity_binary64`
5×	`add-cube-cbrt_binary64`
4×	`hypot-udef_binary64`

Counts

1 → 29

Calls

1 calls:

3.0ms

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

simplify70.0ms (8.3%)

Algorithm

1×	egg-herbie

Rules

1023×	`fma-def_binary64`
508×	`unswap-sqr_binary64`
442×	`log-div_binary64`
289×	`*-commutative_binary64`
250×	`associate-*r/_binary64`

Counts

53 → 44

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	40	530
1	74	468
2	177	439
3	440	431
4	929	370
5	1762	370
6	3289	370
7	4589	370
8	5047	370

prune17.0ms (2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	44	0	44
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	44	2	46

Error

Counts

46 → 2

Alt Table

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

Compiler

Compiled 502 to 131 computations (73.9% saved)

regimes52.0ms (6.1%)

Accuracy

Total 0.0b remaining (79.5%)

Threshold costs 0.0b (79.5%)

Counts

8 → 1

Compiler

Compiled 391 to 236 computations (39.6% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	6	7

end8.0ms (0.9%)

Remove: (sort x y)
Compiler: Compiled 21 to 15 computations (28.6% saved)

sample438.0ms (52%)

Algorithm

1×

intervals

Results

208.0ms	8000×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 36 to 21 computations (41.7% saved)

Details

analyze76.0ms (9%)

sample30.0ms (3.6%)

simplify6.0ms (0.8%)

prune4.0ms (0.4%)

localize4.0ms (0.4%)

series6.0ms (0.7%)

rewrite1.0ms (0.1%)

simplify62.0ms (7.3%)

prune10.0ms (1.2%)

localize3.0ms (0.4%)

series48.0ms (5.7%)

rewrite6.0ms (0.8%)

simplify70.0ms (8.3%)

prune17.0ms (2%)

regimes52.0ms (6.1%)

simplify2.0ms (0.2%)

end8.0ms (0.9%)

sample438.0ms (52%)

Profiling