Details

analyze53.0ms (1.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
50%	12.5%	37.5%	5
50%	6.2%	43.8%	6
50%	3.1%	46.9%	7
50%	1.6%	48.5%	8
50%	1.6%	48.5%	9
50.4%	1.2%	48.5%	10
50.4%	1.2%	48.5%	11
50.4%	1.1%	48.6%	12
50.4%	1%	48.6%	13
50.5%	0.9%	48.6%	14

Compiler

Compiled 15 to 8 computations (46.7% saved)

sample3.6s (81.9%)

Results

2.1s	4023×	body	1024	valid
776.0ms	2036×	body	512	valid
223.0ms	394×	body	2048	valid
184.0ms	1016×	body	256	valid
148.0ms	787×	body	128	valid

Compiler

Compiled 44 to 23 computations (47.7% saved)

simplify80.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

720×	`fma-def_binary64`
658×	`unswap-sqr_binary64`
478×	`fma-neg_binary64`
464×	`times-frac_binary64`
388×	`associate-/r/_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	20	22
2	34	22
3	58	22
4	125	22
5	288	22
6	624	22
7	1577	22
8	3798	22
9	4553	22
10	5023	22

prune2.0ms (0%)

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

58.5b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	58.5b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 42 to 21 computations (50% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓	1.5b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	6.0b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series18.0ms (0.4%)

Counts

3 → 24

Calls

3 calls:

14.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
2.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
2.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite52.0ms (1.2%)

Algorithm

3×	egg-rewrite

Counts

3 → 0

Calls

3 calls:

20.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
16.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
15.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	1
1	130	1
2	71	1
0	8	1
1	186	1
2	26	1
0	6	1
1	129	1
2	19	1

simplify84.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

785×	`fma-def_binary64`
752×	`fma-neg_binary64`
514×	`cancel-sign-sub-inv_binary64`
508×	`unswap-sqr_binary64`
480×	`associate-l_binary64`

Counts

24 → 27

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	50	321
1	137	317
2	336	311
3	910	309
4	2632	309
5	4822	309
6	4911	309
7	4936	309

prune18.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	25	2	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	3	28

Error

1.3b

Counts

28 → 3

Alt Table

Status	Error	Program
▶	1.6b	(fma.f64 (pow.f64 x 3) -1/3 x)
	1.8b	x
✓	58.5b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 434 to 227 computations (47.7% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 (pow.f64 x 3) -1/3 x)

series3.0ms (0.1%)

Counts

1 → 12

Calls

1 calls:

3.0ms

(fma.f64 (pow.f64 x 3) -1/3 x)

rewrite79.0ms (1.8%)

Algorithm

1×	egg-rewrite

Rules

49× egg

Counts

1 → 49

Calls

1 calls:

78.0ms

(fma.f64 (pow.f64 x 3) -1/3 x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	126	8
2	1279	8
3	4882	8
4	5006	8

simplify186.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

1705×	`fma-def_binary64`
865×	`fma-neg_binary64`
818×	`unswap-sqr_binary64`
615×	`sqr-pow_binary64`
528×	`cube-prod_binary64`

Counts

61 → 54

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	105
1	23	105
2	59	87
3	147	87
4	298	87
5	774	87
6	1120	87
7	1710	87
8	3217	87
9	4164	87
10	4277	87
11	4261	87
12	4044	87
13	3304	87
14	3939	87
15	4360	87
16	4810	87
17	4770	87

prune27.0ms (0.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	54	3	57

Error

1.3b

Counts

57 → 3

Alt Table

Status	Error	Program
✓	1.6b	(fma.f64 (pow.f64 x 3) -1/3 x)
▶	1.8b	x
✓	58.5b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 647 to 483 computations (25.3% saved)

localize0.0ms (0%)

prune2.0ms (0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

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

Error

1.3b

Counts

3 → 3

Alt Table

Status	Error	Program
✓	1.6b	(fma.f64 (pow.f64 x 3) -1/3 x)
✓	1.8b	x
✓	58.5b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 23 to 13 computations (43.5% saved)

regimes16.0ms (0.4%)

Accuracy

Total 0.8b remaining (38.4%)

Threshold costs 0.8b (38.4%)

Counts

7 → 1

Compiler

Compiled 182 to 120 computations (34.1% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`*-commutative_binary64`
1×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	23
1	19	23
2	21	23
3	22	23
4	22	23

end162.0ms (3.7%)

Compiler: Compiled 55 to 37 computations (32.7% saved)

Details

analyze53.0ms (1.2%)

sample3.6s (81.9%)

simplify80.0ms (1.8%)

prune2.0ms (0%)

localize7.0ms (0.1%)

series18.0ms (0.4%)

rewrite52.0ms (1.2%)

simplify84.0ms (1.9%)

prune18.0ms (0.4%)

localize4.0ms (0.1%)

series3.0ms (0.1%)

rewrite79.0ms (1.8%)

simplify186.0ms (4.2%)

prune27.0ms (0.6%)

localize0.0ms (0%)

prune2.0ms (0%)

regimes16.0ms (0.4%)

simplify2.0ms (0%)

end162.0ms (3.7%)

Profiling