Details

analyze96.0ms (6.5%)

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
25%	74.9%	0.1%	5
25%	56.2%	18.8%	6
25%	40.6%	34.4%	7
31.2%	31.2%	37.6%	8
39%	21.1%	39.9%	9
42.9%	16%	41.1%	10
47.2%	10.7%	42%	11
49.4%	8.1%	42.5%	12
51.6%	5.4%	43%	13
52.7%	4.1%	43.2%	14

Compiler

Compiled 10 to 5 computations (50% saved)

sample665.0ms (45.1%)

Symmetry

(sort x y)

Results

623.0ms	8256×	body	128	valid
7.0ms	97×	body	128	invalid

Compiler

Compiled 29 to 14 computations (51.7% saved)

simplify8.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

70×	`fma-def_binary64`
24×	`associate-+l+_binary64`
18×	`associate-+r+_binary64`
10×	`distribute-rgt-in_binary64`
8×	`*-commutative_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	10
1	12	10
2	26	10
3	46	10
4	81	10
5	101	10
6	117	10
7	130	10
8	132	10
9	132	10

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

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

Compiler

Compiled 27 to 12 computations (55.6% saved)

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

series5.0ms (0.4%)

Counts

1 → 24

Calls

1 calls:

5.0ms

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

rewrite8.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64`
8×	`pow1_binary64`
7×	`add-sqr-sqrt_binary64`
6×	`distribute-lft-out_binary64`
6×	`swap-sqr_binary64`

Counts

1 → 42

Calls

1 calls:

6.0ms

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

simplify58.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

728×	`associate-+l+_binary64`
594×	`unswap-sqr_binary64`
430×	`distribute-rgt-in_binary64`
422×	`distribute-lft-in_binary64`
327×	`fma-def_binary64`

Counts

66 → 64

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	68	994
1	200	853
2	739	757
3	2462	692
4	5240	692

prune40.0ms (2.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	62	2	64
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	62	3	65

Error

Counts

65 → 3

Alt Table

Status	Error	Program
▶	0.0b	(+.f64 (.f64 2 (.f64 y x)) (+.f64 (pow.f64 y 2) (pow.f64 x 2)))
✓	0.0b	(*.f64 (+.f64 x y) (+.f64 x y))
	26.4b	(*.f64 x (fma.f64 y 2 x))

Compiler

Compiled 938 to 293 computations (68.8% saved)

localize7.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

series14.0ms (0.9%)

Counts

2 → 12

Calls

2 calls:

9.0ms	(+.f64 (.f64 2 (.f64 y x)) (+.f64 (pow.f64 y 2) (pow.f64 x 2)))
4.0ms	(.f64 2 (.f64 y x))

rewrite14.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-cbrt-cube_binary64`
7×	`add-exp-log_binary64`
7×	`pow1_binary64`
7×	`add-log-exp_binary64`
3×	`associate-l_binary64`

Counts

2 → 36

Calls

2 calls:

9.0ms	(+.f64 (.f64 2 (.f64 y x)) (+.f64 (pow.f64 y 2) (pow.f64 x 2)))
4.0ms	(.f64 2 (.f64 y x))

simplify75.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

580×	`associate-l_binary64`
560×	`fma-neg_binary64`
449×	`associate-r_binary64`
328×	`fma-def_binary64`
298×	`distribute-rgt-neg-in_binary64`

Counts

48 → 62

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	71	668
1	195	590
2	684	537
3	2857	537
4	4813	537
5	5062	537

prune42.0ms (2.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	62	3	65

Error

Counts

65 → 3

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 (.f64 2 (.f64 y x)) (+.f64 (pow.f64 y 2) (pow.f64 x 2)))
✓	0.0b	(*.f64 (+.f64 x y) (+.f64 x y))
▶	26.4b	(*.f64 x (fma.f64 y 2 x))

Compiler

Compiled 1161 to 717 computations (38.2% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series6.0ms (0.4%)

Counts

1 → 24

Calls

1 calls:

6.0ms

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

rewrite3.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 22

Calls

1 calls:

2.0ms

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

simplify88.0ms (6%)

Algorithm

1×	egg-herbie

Rules

613×	`distribute-rgt-in_binary64`
610×	`distribute-lft-in_binary64`
425×	`fma-def_binary64`
354×	`*-commutative_binary64`
330×	`associate-/l/_binary64`

Counts

46 → 41

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	507
1	82	413
2	237	413
3	617	413
4	2304	413
5	2439	413
6	3040	413
7	4552	413
8	4968	413

prune19.0ms (1.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	41	3	44

Error

Counts

44 → 3

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 (.f64 2 (.f64 y x)) (+.f64 (pow.f64 y 2) (pow.f64 x 2)))
✓	0.0b	(*.f64 (+.f64 x y) (+.f64 x y))
✓	26.4b	(*.f64 x (fma.f64 y 2 x))

Compiler

Compiled 483 to 276 computations (42.9% saved)

regimes111.0ms (7.6%)

Accuracy

Total 0.0b remaining (59.4%)

Threshold costs 0.0b (59.4%)

Counts

26 → 1

Compiler

Compiled 1082 to 713 computations (34.1% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	13	16
2	13	16

end202.0ms (13.7%)

Compiler: Compiled 84 to 56 computations (33.3% saved)

Details

analyze96.0ms (6.5%)

sample665.0ms (45.1%)

simplify8.0ms (0.6%)

prune1.0ms (0.1%)

localize6.0ms (0.4%)

series5.0ms (0.4%)

rewrite8.0ms (0.5%)

simplify58.0ms (3.9%)

prune40.0ms (2.7%)

localize7.0ms (0.5%)

series14.0ms (0.9%)

rewrite14.0ms (0.9%)

simplify75.0ms (5.1%)

prune42.0ms (2.9%)

localize4.0ms (0.3%)

series6.0ms (0.4%)

rewrite3.0ms (0.2%)

simplify88.0ms (6%)

prune19.0ms (1.3%)

regimes111.0ms (7.6%)

simplify2.0ms (0.2%)

end202.0ms (13.7%)

Profiling