Details

analyze746.0ms (26.7%)

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%	62.4%	12.6%	6
25%	40.6%	34.4%	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 14 to 9 computations (35.7% saved)

sample44.0ms (1.6%)

Algorithm

1×

intervals

Results

30.0ms

256×

body

128

valid

Compiler

Compiled 29 to 19 computations (34.5% saved)

simplify17.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

14×	`fma-def_binary64`
6×	`+-commutative_binary64`
3×	`associate-+r+_binary64`
3×	`associate-+l+_binary64`
2×	`*-commutative_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	17	11
2	32	11
3	38	11
4	38	11

prune5.0ms (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	(fma.f64 x (+.f64 x 2) (*.f64 y y))

Compiler

Compiled 41 to 23 computations (43.9% saved)

localize12.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x (+.f64 x 2) (*.f64 y y))

series12.0ms (0.4%)

Counts

1 → 24

Calls

1 calls:

12.0ms

(fma.f64 x (+.f64 x 2) (*.f64 y y))

rewrite3.0ms (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:

2.0ms

(fma.f64 x (+.f64 x 2) (*.f64 y y))

simplify101.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

557×	`unswap-sqr_binary64`
549×	`distribute-rgt-in_binary64`
545×	`distribute-lft-in_binary64`
273×	`associate-l_binary64`
246×	`associate-r_binary64`

Counts

34 → 28

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	379
1	39	354
2	96	354
3	372	354
4	2314	354
5	2693	354
6	3650	354
7	4663	354
8	4933	354

prune33.0ms (1.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	27	1	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	2	29

Error

Counts

29 → 2

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 x (+.f64 x 2) (*.f64 y y))
▶	41.0b	(cbrt.f64 (pow.f64 (fma.f64 y y (*.f64 x (+.f64 2 x))) 3))

Compiler

Compiled 346 to 191 computations (44.8% saved)

localize17.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (+.f64 2 x))
✓	0.2b	(pow.f64 (fma.f64 y y (*.f64 x (+.f64 2 x))) 3)
✓	39.3b	(cbrt.f64 (pow.f64 (fma.f64 y y (*.f64 x (+.f64 2 x))) 3))

series73.0ms (2.6%)

Counts

3 → 60

Calls

3 calls:

51.0ms	(pow.f64 (fma.f64 y y (*.f64 x (+.f64 2 x))) 3)
17.0ms	(cbrt.f64 (pow.f64 (fma.f64 y y (*.f64 x (+.f64 2 x))) 3))
4.0ms	(*.f64 x (+.f64 2 x))

rewrite23.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64`
13×	`add-sqr-sqrt_binary64`
12×	`cbrt-prod_binary64`
11×	`add-cube-cbrt_binary64`
6×	`cube-prod_binary64`

Counts

3 → 73

Calls

3 calls:

9.0ms	(*.f64 x (+.f64 2 x))
5.0ms	(cbrt.f64 (pow.f64 (fma.f64 y y (*.f64 x (+.f64 2 x))) 3))
3.0ms	(pow.f64 (fma.f64 y y (*.f64 x (+.f64 2 x))) 3)

simplify209.0ms (7.5%)

Algorithm

1×	egg-herbie

Rules

453×	`distribute-rgt-in_binary64`
450×	`distribute-lft-in_binary64`
417×	`exp-prod_binary64`
382×	`+-commutative_binary64`
250×	`unswap-sqr_binary64`

Counts

133 → 141

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	164	2437
1	418	2264
2	1506	2218
3	3421	2171
4	4821	2168
5	5180	2168

prune160.0ms (5.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	141	2	143

Error

Counts

143 → 2

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 x (+.f64 x 2) (*.f64 y y))
✓	41.0b	(cbrt.f64 (pow.f64 (fma.f64 y y (*.f64 x (+.f64 2 x))) 3))

Compiler

Compiled 2803 to 1867 computations (33.4% saved)

regimes206.0ms (7.4%)

Accuracy

Total 0.0b remaining (21%)

Threshold costs 0.0b (21%)

Counts

18 → 1

Compiler

Compiled 948 to 639 computations (32.6% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	8	11
2	8	11

end1.0ms (0%)

Compiler: Compiled 10 to 6 computations (40% saved)

sample1.1s (40.2%)

Algorithm

1×

intervals

Results

655.0ms	8000×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 49 to 32 computations (34.7% saved)

Details

analyze746.0ms (26.7%)

sample44.0ms (1.6%)

simplify17.0ms (0.6%)

prune5.0ms (0.2%)

localize12.0ms (0.4%)

series12.0ms (0.4%)

rewrite3.0ms (0.1%)

simplify101.0ms (3.6%)

prune33.0ms (1.2%)

localize17.0ms (0.6%)

series73.0ms (2.6%)

rewrite23.0ms (0.8%)

simplify209.0ms (7.5%)

prune160.0ms (5.7%)

regimes206.0ms (7.4%)

simplify6.0ms (0.2%)

end1.0ms (0%)

sample1.1s (40.2%)

Profiling