Details

analyze716.0ms (23.7%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
34.3%	65.5%	0.1%	9
39%	60.8%	0.1%	10
41.3%	58.5%	0.1%	11
52.7%	47.2%	0.1%	12
54%	45.7%	0.2%	13
55.3%	43.8%	0.9%	14

Compiler

Compiled 19 to 10 computations (47.4% saved)

sample1.7s (55.8%)

Results

630.0ms	5946×	body	128	valid
262.0ms	855×	body	1024	valid
207.0ms	563×	body	2048	valid
156.0ms	582×	body	512	valid
148.0ms	1407×	body	128	invalid
70.0ms	310×	body	512	invalid
63.0ms	188×	body	1024	invalid
53.0ms	310×	body	256	valid
44.0ms	246×	body	256	invalid

Compiler

Compiled 56 to 29 computations (48.2% saved)

simplify32.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

450×	`unsub-neg_binary64`
408×	`fma-def_binary64`
335×	`fma-neg_binary64`
234×	`sub-neg_binary64`
185×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	27	10
2	89	7
3	250	7
4	802	7
5	3354	7
6	4797	7

Stop Event

1×	node limit

Counts

1 → 2

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

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

Compiler

Compiled 39 to 21 computations (46.2% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series6.0ms (0.2%)

Counts

1 → 36

Calls

1 calls:

6.0ms

(*.f64 y (-.f64 x z))

rewrite38.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

672×	`log1p-expm1-u_binary64`
672×	`expm1-log1p-u_binary64`
359×	`prod-diff_binary64`
124×	`log1p-udef_binary64`
68×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	129	7
2	1762	7

Stop Event

1×	node limit

Counts

1 → 21

Calls

1 calls:

38.0ms

(*.f64 y (-.f64 x z))

simplify23.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

172×	`fma-def_binary64`
126×	`fma-neg_binary64`
43×	`cancel-sign-sub-inv_binary64`
32×	`distribute-rgt-in_binary64`
27×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	240
1	25	240
2	43	240
3	67	240
4	102	240
5	171	240
6	295	240
7	437	240
8	630	240
9	696	240
10	708	240

Stop Event

1×

saturated

Counts

57 → 27

prune14.0ms (0.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	26	1	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	2	28

Error

Counts

28 → 2

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 y (-.f64 x z))
▶	44.7b	(/.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y) (fma.f64 x x (.f64 z (+.f64 x z))))

Compiler

Compiled 281 to 122 computations (56.6% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(fma.f64 x x (*.f64 z (+.f64 x z)))
✓	2.8b	(-.f64 (pow.f64 x 3) (pow.f64 z 3))
✓	8.0b	(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y)
✓	37.8b	(/.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y) (fma.f64 x x (.f64 z (+.f64 x z))))

series135.0ms (4.5%)

Counts

4 → 102

Calls

4 calls:

93.0ms	(/.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y) (fma.f64 x x (.f64 z (+.f64 x z))))
27.0ms	(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y)
10.0ms	(-.f64 (pow.f64 x 3) (pow.f64 z 3))
5.0ms	(fma.f64 x x (*.f64 z (+.f64 x z)))

rewrite68.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

256×	`expm1-udef_binary64`
256×	`log1p-udef_binary64`
147×	`add-sqr-sqrt_binary64`
140×	`log1p-expm1-u_binary64`
140×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	60
1	295	41
2	4266	41

Stop Event

1×	node limit

Counts

4 → 131

Calls

4 calls:

65.0ms	(fma.f64 x x (*.f64 z (+.f64 x z)))
65.0ms	(-.f64 (pow.f64 x 3) (pow.f64 z 3))
65.0ms	(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y)
65.0ms	(/.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y) (fma.f64 x x (.f64 z (+.f64 x z))))

simplify51.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

855×	`fma-def_binary64`
389×	`associate-/l*_binary64`
287×	`associate-l_binary64`
195×	`distribute-rgt-neg-in_binary64`
191×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	1218
1	81	1134
2	209	1134
3	579	1134
4	1952	1134

Stop Event

1×	node limit

Counts

233 → 156

prune76.0ms (2.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	156	2	158

Error

Counts

158 → 2

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 y (-.f64 x z))
✓	44.7b	(/.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y) (fma.f64 x x (.f64 z (+.f64 x z))))

Compiler

Compiled 3283 to 1489 computations (54.6% saved)

regimes119.0ms (3.9%)

Accuracy

Total 0.0b remaining (18%)

Threshold costs 0.0b (18%)

Counts

15 → 1

Compiler

Compiled 928 to 596 computations (35.8% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
2	14	7
3	16	7
4	17	7

Stop Event

1×

saturated

end39.0ms (1.3%)

Compiler: Compiled 45 to 28 computations (37.8% saved)

Iter	Nodes	Cost
0	11	240
1	25	240
2	43	240
3	67	240
4	102	240
5	171	240
6	295	240
7	437	240
8	630	240
9	696	240
10	708	240

Iter	Nodes	Cost
0	11	240
1	25	240
2	43	240
3	67	240
4	102	240
5	171	240
6	295	240
7	437	240
8	630	240
9	696	240
10	708	240

Details

analyze716.0ms (23.7%)

sample1.7s (55.8%)

simplify32.0ms (1.1%)

prune3.0ms (0.1%)

localize3.0ms (0.1%)

series6.0ms (0.2%)

rewrite38.0ms (1.3%)

simplify23.0ms (0.8%)

prune14.0ms (0.5%)

localize10.0ms (0.3%)

series135.0ms (4.5%)

rewrite68.0ms (2.2%)

simplify51.0ms (1.7%)

prune76.0ms (2.5%)

regimes119.0ms (3.9%)

simplify2.0ms (0.1%)

end39.0ms (1.3%)

Profiling

Iter	Nodes	Cost
0	11	240
1	25	240
2	43	240
3	67	240
4	102	240
5	171	240
6	295	240
7	437	240
8	630	240
9	696	240
10	708	240