Details

analyze1.3s (21.5%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
0%	99.9%	0.1%	9
0%	99.9%	0.1%	10
0%	99.9%	0.1%	11
0%	99.9%	0.1%	12
0%	99.9%	0.1%	13
0%	99.9%	0.1%	14

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample4.4s (69.6%)

Results

3.4s	6292×	body	8192	exit
970.0ms	8256×	body	128	valid

Compiler

Compiled 41 to 26 computations (36.6% saved)

simplify8.0ms (0.1%)

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 (0.1%)

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 (0.1%)

Local error

Found 1 expressions with local error:

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

series7.0ms (0.1%)

Counts

1 → 24

Calls

1 calls:

6.0ms

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

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

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

simplify80.0ms (1.3%)

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

prune22.0ms (0.4%)

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

Compiler

Compiled 366 to 201 computations (45.1% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

series9.0ms (0.1%)

Counts

2 → 36

Calls

2 calls:

6.0ms	(fma.f64 y y (*.f64 x (+.f64 2 x)))
2.0ms	(*.f64 x (+.f64 2 x))

rewrite10.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64`
6×	`add-sqr-sqrt_binary64`
4×	`associate-r_binary64`
4×	`add-cube-cbrt_binary64`
4×	`add-cbrt-cube_binary64`

Counts

2 → 35

Calls

2 calls:

8.0ms	(*.f64 x (+.f64 2 x))
0.0ms	(fma.f64 y y (*.f64 x (+.f64 2 x)))

simplify103.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

517×	`associate-+r+_binary64`
510×	`+-commutative_binary64`
492×	`unswap-sqr_binary64`
456×	`associate-+l+_binary64`
420×	`distribute-rgt-out_binary64`

Counts

71 → 58

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	63	711
1	144	654
2	457	654
3	1448	654
4	2480	654
5	3931	654
6	4701	654
7	4963	654
8	4809	654

prune34.0ms (0.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	57	1	58
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	59	2	61

Error

Counts

61 → 2

Alt Table

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

Compiler

Compiled 760 to 423 computations (44.3% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series10.0ms (0.2%)

Counts

2 → 27

Calls

2 calls:

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

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`fma-def_binary64`
4×	`add-log-exp_binary64`
4×	`*-un-lft-identity_binary64`
4×	`add-sqr-sqrt_binary64`
4×	`add-cube-cbrt_binary64`

Counts

2 → 32

Calls

2 calls:

4.0ms	(+.f64 (pow.f64 x 2) (*.f64 2 x))
0.0ms	(fma.f64 y y (+.f64 (pow.f64 x 2) (*.f64 2 x)))

simplify64.0ms (1%)

Algorithm

1×	egg-herbie

Rules

737×	`distribute-rgt-in_binary64`
707×	`distribute-lft-in_binary64`
371×	`fma-neg_binary64`
270×	`associate-+l+_binary64`
261×	`associate-+r+_binary64`

Counts

59 → 60

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	45	699
1	126	520
2	366	515
3	1319	514
4	4951	514
5	5175	514

prune37.0ms (0.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	60	2	62

Error

Counts

62 → 2

Alt Table

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

Compiler

Compiled 862 to 539 computations (37.5% saved)

regimes102.0ms (1.6%)

Accuracy

Total 0.0b remaining (64.3%)

Threshold costs 0.0b (64.3%)

Counts

19 → 1

Compiler

Compiled 984 to 626 computations (36.4% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	8	12
2	8	12

end45.0ms (0.7%)

Compiler: Compiled 44 to 26 computations (40.9% saved)

Details

analyze1.3s (21.5%)

sample4.4s (69.6%)

simplify8.0ms (0.1%)

prune3.0ms (0.1%)

localize5.0ms (0.1%)

series7.0ms (0.1%)

rewrite1.0ms (0%)

simplify80.0ms (1.3%)

prune22.0ms (0.4%)

localize5.0ms (0.1%)

series9.0ms (0.1%)

rewrite10.0ms (0.2%)

simplify103.0ms (1.6%)

prune34.0ms (0.5%)

localize11.0ms (0.2%)

series10.0ms (0.2%)

rewrite5.0ms (0.1%)

simplify64.0ms (1%)

prune37.0ms (0.6%)

regimes102.0ms (1.6%)

simplify2.0ms (0%)

end45.0ms (0.7%)

Profiling