Details

analyze114.0ms (8%)

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)

sample809.0ms (57%)

Results

780.0ms	8256×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 41 to 26 computations (36.6% saved)

simplify6.0ms (0.4%)

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 (0.2%)

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)

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

series6.0ms (0.4%)

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))

simplify70.0ms (4.9%)

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

prune18.0ms (1.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	27	1	28
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	28	2	30

Error

Counts

30 → 2

Alt Table

Status	Error	Program
	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 356 to 195 computations (45.2% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series2.0ms (0.2%)

Counts

1 → 12

Calls

1 calls:

2.0ms

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

rewrite6.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`*-un-lft-identity_binary64`
5×	`add-sqr-sqrt_binary64`
4×	`associate-r_binary64`
3×	`associate-l_binary64`
3×	`add-cube-cbrt_binary64`

Counts

1 → 25

Calls

1 calls:

5.0ms

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

simplify85.0ms (6%)

Algorithm

1×	egg-herbie

Rules

982×	`fma-def_binary64`
428×	`unswap-sqr_binary64`
379×	`distribute-rgt-out_binary64`
349×	`+-commutative_binary64`
339×	`fma-neg_binary64`

Counts

37 → 35

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	335
1	122	303
2	390	303
3	1108	303
4	2380	303
5	3416	303
6	4343	303
7	4901	303
8	4889	303

prune21.0ms (1.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	35	2	37

Error

Counts

37 → 2

Alt Table

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

Compiler

Compiled 479 to 270 computations (43.6% saved)

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

series4.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

3.0ms

(+.f64 (pow.f64 x 2) (*.f64 2 x))

rewrite4.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`fma-def_binary64`
3×	`add-log-exp_binary64`
3×	`*-un-lft-identity_binary64`
3×	`add-sqr-sqrt_binary64`
3×	`unpow-prod-down_binary64`

Counts

1 → 22

Calls

1 calls:

3.0ms

(+.f64 (pow.f64 x 2) (*.f64 2 x))

simplify86.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

569×	`distribute-rgt-out_binary64`
360×	`fma-neg_binary64`
308×	`cancel-sign-sub-inv_binary64`
257×	`sub-neg_binary64`
249×	`*-commutative_binary64`

Counts

25 → 36

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	30	233
1	104	169
2	301	164
3	1016	163
4	2211	163
5	4022	163
6	4697	163
7	4955	163
8	4891	163

prune21.0ms (1.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	36	0	36
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	36	2	38

Error

Counts

38 → 2

Alt Table

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

Compiler

Compiled 547 to 352 computations (35.6% saved)

regimes106.0ms (7.5%)

Accuracy

Total -0.0b remaining (-10%)

Threshold costs -0.0b (-10%)

Counts

20 → 1

Compiler

Compiled 1100 to 712 computations (35.3% saved)

simplify2.0ms (0.1%)

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

end39.0ms (2.8%)

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

Details

analyze114.0ms (8%)

sample809.0ms (57%)

simplify6.0ms (0.4%)

prune3.0ms (0.2%)

localize6.0ms (0.4%)

series6.0ms (0.4%)

rewrite1.0ms (0%)

simplify70.0ms (4.9%)

prune18.0ms (1.3%)

localize5.0ms (0.3%)

series2.0ms (0.2%)

rewrite6.0ms (0.4%)

simplify85.0ms (6%)

prune21.0ms (1.5%)

localize6.0ms (0.4%)

series4.0ms (0.3%)

rewrite4.0ms (0.3%)

simplify86.0ms (6.1%)

prune21.0ms (1.5%)

regimes106.0ms (7.5%)

simplify2.0ms (0.1%)

end39.0ms (2.8%)

Profiling