Details

analyze88.0ms (8.6%)

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
25%	74.9%	0.1%	3
25%	62.4%	12.6%	4
37.5%	43.7%	18.8%	5
37.5%	34.3%	28.2%	6
43.7%	23.4%	32.9%	7
43.7%	18%	38.3%	8
46.8%	12.1%	41.1%	9
46.8%	9.2%	44%	10
48.4%	6.1%	45.5%	11
48.4%	4.6%	47%	12
49.2%	3.1%	47.7%	13
49.2%	2.3%	48.5%	14

Compiler

Compiled 7 to 5 computations (28.6% saved)

sample26.0ms (2.5%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
0.0ms	4×	body	128	nan

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify6.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	6	6
2	6	6

prune2.0ms (0.2%)

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	(sqrt.f64 (+.f64 x y))

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series19.0ms (1.9%)

Counts

1 → 8

Calls

1 calls:

19.0ms

(sqrt.f64 (+.f64 x y))

rewrite5.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64`
4×	`sqrt-prod_binary64`
2×	`sqrt-div_binary64`
2×	`add-cube-cbrt_binary64`

Counts

1 → 19

Calls

1 calls:

3.0ms

(sqrt.f64 (+.f64 x y))

simplify61.0ms (6%)

Algorithm

1×	egg-herbie

Rules

917×	`fma-neg_binary64`
656×	`associate-l_binary64`
406×	`distribute-rgt-neg-in_binary64`
392×	`distribute-lft-neg-in_binary64`
370×	`hypot-def_binary64`

Counts

27 → 41

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	80	388
1	187	383
2	446	375
3	1235	372
4	2724	370
5	4709	370
6	4967	370

prune18.0ms (1.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	40	1	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	2	42

Error

Counts

42 → 2

Alt Table

Status	Error	Program
▶	20.6b	(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 y x)) 3))
✓	0.0b	(sqrt.f64 (+.f64 x y))

Compiler

Compiled 552 to 308 computations (44.2% saved)

localize5.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 y x))
✓	0.5b	(pow.f64 (sqrt.f64 (+.f64 y x)) 3)
✓	19.9b	(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 y x)) 3))

series114.0ms (11.1%)

Counts

3 → 24

Calls

3 calls:

74.0ms	(pow.f64 (sqrt.f64 (+.f64 y x)) 3)
21.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 y x)) 3))
19.0ms	(sqrt.f64 (+.f64 y x))

rewrite16.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`*-un-lft-identity_binary64`
20×	`sqrt-prod_binary64`
20×	`cbrt-prod_binary64`
17×	`add-sqr-sqrt_binary64`
14×	`cube-prod_binary64`

Counts

3 → 90

Calls

3 calls:

5.0ms	(pow.f64 (sqrt.f64 (+.f64 y x)) 3)
4.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 y x)) 3))
3.0ms	(sqrt.f64 (+.f64 y x))

simplify119.0ms (11.6%)

Algorithm

1×	egg-herbie

Rules

574×	`associate-l_binary64`
492×	`associate-r_binary64`
428×	`fma-neg_binary64`
321×	`fma-def_binary64`
271×	`log-prod_binary64`

Counts

114 → 124

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	156	1576
1	361	1560
2	927	1496
3	3288	1491
4	4750	1491
5	4987	1491
6	4926	1491

prune48.0ms (4.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	124	2	126

Error

Counts

126 → 2

Alt Table

Status	Error	Program
✓	20.6b	(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 y x)) 3))
✓	0.0b	(sqrt.f64 (+.f64 x y))

Compiler

Compiled 1769 to 958 computations (45.8% saved)

regimes23.0ms (2.2%)

Accuracy

Total 0.0b remaining (16.7%)

Threshold costs 0.0b (16.7%)

Counts

3 → 1

Compiler

Compiled 110 to 78 computations (29.1% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	6	6
2	6	6

end7.0ms (0.6%)

Remove: (sort x y)
Compiler: Compiled 18 to 12 computations (33.3% saved)

sample463.0ms (45.2%)

Algorithm

1×

intervals

Results

219.0ms	8000×	body	128	valid
6.0ms	262×	body	128	nan

Compiler

Compiled 30 to 22 computations (26.7% saved)

Details

analyze88.0ms (8.6%)

sample26.0ms (2.5%)

simplify6.0ms (0.6%)

prune2.0ms (0.2%)

localize3.0ms (0.3%)

series19.0ms (1.9%)

rewrite5.0ms (0.4%)

simplify61.0ms (6%)

prune18.0ms (1.8%)

localize5.0ms (0.5%)

series114.0ms (11.1%)

rewrite16.0ms (1.6%)

simplify119.0ms (11.6%)

prune48.0ms (4.7%)

regimes23.0ms (2.2%)

simplify2.0ms (0.2%)

end7.0ms (0.6%)

sample463.0ms (45.2%)

Profiling