Details

analyze204.0ms (9.6%)

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)

sample32.0ms (1.5%)

Algorithm

1×

intervals

Results

17.0ms

256×

body

128

valid

Compiler

Compiled 29 to 19 computations (34.5% saved)

simplify20.0ms (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

prune5.0ms (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

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)

localize12.0ms (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))

rewrite75.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-log-exp_binary64`
12×	`add-cube-cbrt_binary64`
8×	`*-un-lft-identity_binary64`
8×	`flip3-+_binary64`
8×	`pow1_binary64`

Counts

2 → 85

Calls

2 calls:

36.0ms	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
30.0ms	(+.f64 (.f64 x 2) (.f64 x x))

series51.0ms (2.4%)

Counts

2 → 36

Calls

2 calls:

33.0ms	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
17.0ms	(+.f64 (.f64 x 2) (.f64 x x))

simplify143.0ms (6.8%)

Algorithm

1×	egg-herbie

Rules

756×	`fma-def_binary64`
649×	`times-frac_binary64`
621×	`fma-neg_binary64`
404×	`distribute-rgt-in_binary64`
351×	`distribute-lft-in_binary64`

Counts

121 → 209

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	98	1521
1	300	1335
2	1244	1272
3	4702	1272
4	4967	1272

prune183.0ms (8.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	209	0	209
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	209	2	211

Error

Counts

211 → 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 2370 to 1187 computations (49.9% saved)

localize12.0ms (0.6%)

Local error

Found 1 expressions with local error:

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

rewrite23.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-cube-cbrt_binary64`
5×	`fma-udef_binary64`
4×	`pow1_binary64`
4×	`add-sqr-sqrt_binary64`
3×	`add-cbrt-cube_binary64`

Counts

1 → 33

Calls

1 calls:

19.0ms

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

series30.0ms (1.4%)

Counts

1 → 24

Calls

1 calls:

30.0ms

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

simplify125.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

462×	`associate-+l+_binary64`
454×	`unswap-sqr_binary64`
429×	`associate-+r+_binary64`
317×	`cancel-sign-sub-inv_binary64`
295×	`*-commutative_binary64`

Counts

57 → 98

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	633
1	121	601
2	388	594
3	1429	592
4	3204	592
5	4832	592
6	4866	592

prune46.0ms (2.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	98	2	100

Error

Counts

100 → 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 762 to 414 computations (45.7% saved)

regimes194.0ms (9.2%)

Accuracy

Total 0.0b remaining (48.3%)

Threshold costs 0.0b (48.3%)

Compiler

Compiled 1007 to 654 computations (35.1% saved)

simplify5.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	10	14
2	10	14

end1.0ms (0%)

Compiler: Compiled 12 to 7 computations (41.7% saved)

sample955.0ms (45.1%)

Algorithm

1×

intervals

Results

553.0ms	8000×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 51 to 32 computations (37.3% saved)

Details

analyze204.0ms (9.6%)

sample32.0ms (1.5%)

simplify20.0ms (0.9%)

prune5.0ms (0.3%)

localize12.0ms (0.6%)

rewrite75.0ms (3.5%)

series51.0ms (2.4%)

simplify143.0ms (6.8%)

prune183.0ms (8.6%)

localize12.0ms (0.6%)

rewrite23.0ms (1.1%)

series30.0ms (1.4%)

simplify125.0ms (5.9%)

prune46.0ms (2.2%)

regimes194.0ms (9.2%)

simplify5.0ms (0.3%)

end1.0ms (0%)

sample955.0ms (45.1%)

Profiling