Details

analyze83.0ms (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
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)

sample30.0ms (3.1%)

Algorithm

1×

intervals

Results

9.0ms

256×

body

128

valid

Compiler

Compiled 29 to 19 computations (34.5% saved)

simplify8.0ms (0.9%)

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

prune3.0ms (0.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.0b	(fma.f64 x (+.f64 x 2) (*.f64 y y))
	0.0b	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))

Compiler

Compiled 67 to 39 computations (41.8% saved)

localize5.0ms (0.5%)

Local error

Found 1 expressions with local error:

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

series6.0ms (0.7%)

Counts

1 → 24

Calls

1 calls:

6.0ms

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

simplify71.0ms (7.4%)

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

prune20.0ms (2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	27	1	28
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	27	3	30

Error

Counts

30 → 3

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 x (+.f64 x 2) (*.f64 y y))
▶	0.0b	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
	18.6b	(fma.f64 y y (+.f64 x x))

Compiler

Compiled 362 to 197 computations (45.6% saved)

localize6.0ms (0.6%)

Local error

Found 2 expressions with local error:

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

series9.0ms (1%)

Counts

2 → 36

Calls

2 calls:

7.0ms	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
3.0ms	(+.f64 (.f64 x 2) (.f64 x x))

rewrite9.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64`
5×	`fma-def_binary64`
4×	`sum-log_binary64`
3×	`*-un-lft-identity_binary64`
3×	`add-sqr-sqrt_binary64`

Counts

2 → 34

Calls

2 calls:

5.0ms	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
3.0ms	(+.f64 (.f64 x 2) (.f64 x x))

simplify66.0ms (6.9%)

Algorithm

1×	egg-herbie

Rules

800×	`fma-neg_binary64`
465×	`cancel-sign-sub-inv_binary64`
438×	`fma-def_binary64`
410×	`distribute-rgt-out_binary64`
328×	`associate-l_binary64`

Counts

70 → 63

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	804
1	210	695
2	687	686
3	2722	684
4	4555	684
5	4959	684

prune35.0ms (3.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	63	3	66

Error

Counts

66 → 3

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 x (+.f64 x 2) (*.f64 y y))
✓	0.0b	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
▶	18.6b	(fma.f64 y y (+.f64 x x))

Compiler

Compiled 1063 to 516 computations (51.5% saved)

localize4.0ms (0.4%)

prune2.0ms (0.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	2	2
Total	3	3

Error

Counts

3 → 3

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 x (+.f64 x 2) (*.f64 y y))
✓	0.0b	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
✓	18.6b	(fma.f64 y y (+.f64 x x))

Compiler

Compiled 31 to 18 computations (41.9% saved)

regimes73.0ms (7.6%)

Accuracy

Total 0.0b remaining (77.8%)

Threshold costs 0.0b (77.8%)

Counts

14 → 1

Compiler

Compiled 697 to 449 computations (35.6% saved)

simplify3.0ms (0.3%)

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

end0.0ms (0%)

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

sample531.0ms (55%)

Algorithm

1×

intervals

Results

292.0ms	8000×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 57 to 35 computations (38.6% saved)

Details

analyze83.0ms (8.6%)

sample30.0ms (3.1%)

simplify8.0ms (0.9%)

prune3.0ms (0.3%)

localize5.0ms (0.5%)

series6.0ms (0.7%)

rewrite1.0ms (0.1%)

simplify71.0ms (7.4%)

prune20.0ms (2%)

localize6.0ms (0.6%)

series9.0ms (1%)

rewrite9.0ms (0.9%)

simplify66.0ms (6.9%)

prune35.0ms (3.6%)

localize4.0ms (0.4%)

prune2.0ms (0.2%)

regimes73.0ms (7.6%)

simplify3.0ms (0.3%)

end0.0ms (0%)

sample531.0ms (55%)

Profiling