Details

analyze107.0ms (7.9%)

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)

sample813.0ms (59.9%)

Results

787.0ms	8256×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 41 to 26 computations (36.6% saved)

simplify7.0ms (0.5%)

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 (0.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

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

Compiler

Compiled 47 to 27 computations (42.6% saved)

localize6.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

series9.0ms (0.7%)

Counts

2 → 36

Calls

2 calls:

7.0ms	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
2.0ms	(+.f64 (.f64 x 2) (.f64 x x))

rewrite9.0ms (0.6%)

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))

simplify72.0ms (5.3%)

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 → 64

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

prune41.0ms (3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	63	2	65

Error

Counts

65 → 2

Alt Table

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

Compiler

Compiled 1049 to 524 computations (50% saved)

localize5.0ms (0.4%)

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))

rewrite5.0ms (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:

4.0ms

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

simplify97.0ms (7.2%)

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

prune22.0ms (1.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Error

Counts

37 → 2

Alt Table

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

Compiler

Compiled 468 to 262 computations (44% saved)

regimes112.0ms (8.3%)

Accuracy

Total 0.0b remaining (80.6%)

Threshold costs 0.0b (80.6%)

Counts

22 → 1

Compiler

Compiled 1213 to 756 computations (37.7% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	8	14
2	8	14

end42.0ms (3.1%)

Compiler: Compiled 47 to 26 computations (44.7% saved)

Details

analyze107.0ms (7.9%)

sample813.0ms (59.9%)

simplify7.0ms (0.5%)

prune5.0ms (0.4%)

localize6.0ms (0.5%)

series9.0ms (0.7%)

rewrite9.0ms (0.6%)

simplify72.0ms (5.3%)

prune41.0ms (3%)

localize5.0ms (0.4%)

series2.0ms (0.2%)

rewrite5.0ms (0.4%)

simplify97.0ms (7.2%)

prune22.0ms (1.6%)

regimes112.0ms (8.3%)

simplify2.0ms (0.2%)

end42.0ms (3.1%)

Profiling