Details

analyze669.0ms (13.7%)

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
18.7%	81.1%	0.1%	6
25%	74.9%	0.1%	7
31.2%	68.6%	0.1%	8
45.2%	53.8%	0.9%	9
50.3%	47.8%	1.9%	10
54%	43.6%	2.4%	11
61.7%	32.9%	5.4%	12
64.1%	28.3%	7.6%	13
66.2%	24.7%	9.2%	14

Compiler

Compiled 16 to 11 computations (31.3% saved)

sample1.3s (27.3%)

Results

1.0s	8256×	body	128	valid
187.0ms	1300×	body	128	invalid

Compiler

Compiled 47 to 32 computations (31.9% saved)

simplify62.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1167×	`fma-def_binary64`
1073×	`fma-neg_binary64`
225×	`cancel-sign-sub-inv_binary64`
222×	`distribute-rgt-in_binary64`
163×	`distribute-lft-in_binary64`

Counts

1 → 2

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	22	18
2	43	18
3	75	18
4	123	16
5	213	16
6	302	16
7	472	16
8	1009	13
9	1328	13
10	1542	13
11	1559	13
12	1556	13
13	1556	13
14	1453	13

prune3.0ms (0.1%)

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

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
	4.3b	(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y))
▶	1.0b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))

Compiler

Compiled 78 to 51 computations (34.6% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
✓	0.0b	(/.f64 (+.f64 x 4) y)
✓	3.1b	(*.f64 (/.f64 x y) z)

series38.0ms (0.8%)

Counts

3 → 96

Calls

3 calls:

19.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
12.0ms	(*.f64 (/.f64 x y) z)
6.0ms	(/.f64 (+.f64 x 4) y)

rewrite82.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

334×	`fma-def_binary64`
220×	`expm1-udef_binary64`
220×	`log1p-udef_binary64`
202×	`fma-neg_binary64`
199×	`log-div_binary64`

Counts

3 → 178

Calls

3 calls:

78.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
78.0ms	(/.f64 (+.f64 x 4) y)
78.0ms	(*.f64 (/.f64 x y) z)

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	236	27
2	3339	27
3	5221	27

simplify92.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

755×	`fma-neg_binary64`
323×	`fma-def_binary64`
185×	`distribute-rgt-in_binary64`
180×	`cancel-sign-sub-inv_binary64`
160×	`unsub-neg_binary64`

Counts

274 → 194

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	31	1102
1	76	1102
2	174	952
3	335	860
4	580	790
5	1196	790
6	1420	790
7	1487	790
8	1499	790
9	1499	790
10	1398	790

prune165.0ms (3.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	192	2	194
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	193	3	196

Error

Counts

196 → 3

Alt Table

Status	Error	Program
	4.3b	(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y))
	1.0b	(fabs.f64 (-.f64 (+.f64 (/.f64 x y) (.f64 4 (/.f64 1 y))) (.f64 (/.f64 x y) z)))
▶	1.0b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))))

Compiler

Compiled 4086 to 1951 computations (52.3% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x)))
	0.0b	(/.f64 (+.f64 x 4) y)
✓	3.3b	(/.f64 z (/.f64 y x))

series64.0ms (1.3%)

Counts

2 → 72

Calls

2 calls:

45.0ms	(/.f64 z (/.f64 y x))
20.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x)))

rewrite88.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

425×	`fma-def_binary64`
256×	`fma-neg_binary64`
234×	`expm1-udef_binary64`
234×	`log1p-udef_binary64`
184×	`egg-rr`

Counts

2 → 184

Calls

2 calls:

83.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x)))
83.0ms	(/.f64 z (/.f64 y x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	245	23
2	3790	23
3	5138	23

simplify83.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

755×	`fma-neg_binary64`
323×	`fma-def_binary64`
185×	`distribute-rgt-in_binary64`
180×	`cancel-sign-sub-inv_binary64`
160×	`unsub-neg_binary64`

Counts

256 → 198

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	30	880
1	76	880
2	174	730
3	335	638
4	580	631
5	1196	631
6	1420	631
7	1487	631
8	1499	631
9	1499	631
10	1398	631

prune165.0ms (3.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	236	0	236
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	236	3	239

Error

Counts

239 → 3

Alt Table

Status	Error	Program
	4.3b	(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y))
▶	1.0b	(fabs.f64 (-.f64 (+.f64 (/.f64 x y) (.f64 4 (/.f64 1 y))) (.f64 (/.f64 x y) z)))
✓	1.0b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))))

Compiler

Compiled 5367 to 2362 computations (56% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 (/.f64 x y) (.f64 4 (/.f64 1 y))) (.f64 (/.f64 x y) z))
✓	0.0b	(+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))
	3.1b	(*.f64 (/.f64 x y) z)

series28.0ms (0.6%)

Counts

2 → 57

Calls

2 calls:

20.0ms	(-.f64 (+.f64 (/.f64 x y) (.f64 4 (/.f64 1 y))) (.f64 (/.f64 x y) z))
7.0ms	(+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))

rewrite88.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

735×	`fma-def_binary64`
342×	`fma-neg_binary64`
240×	`expm1-udef_binary64`
240×	`log1p-udef_binary64`
220×	`egg-rr`

Counts

2 → 220

Calls

2 calls:

83.0ms	(-.f64 (+.f64 (/.f64 x y) (.f64 4 (/.f64 1 y))) (.f64 (/.f64 x y) z))
83.0ms	(+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	273	26
2	3692	26
3	5389	26

simplify84.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

755×	`fma-neg_binary64`
323×	`fma-def_binary64`
185×	`distribute-rgt-in_binary64`
180×	`cancel-sign-sub-inv_binary64`
160×	`unsub-neg_binary64`

Counts

277 → 236

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	31	820
1	76	820
2	174	670
3	335	578
4	580	517
5	1196	517
6	1420	517
7	1487	517
8	1499	517
9	1499	517
10	1398	517

prune186.0ms (3.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	261	0	261
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	261	3	264

Error

Counts

264 → 3

Alt Table

Status	Error	Program
▶	4.3b	(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y))
✓	1.0b	(fabs.f64 (-.f64 (+.f64 (/.f64 x y) (.f64 4 (/.f64 1 y))) (.f64 (/.f64 x y) z)))
✓	1.0b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))))

Compiler

Compiled 5901 to 2542 computations (56.9% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (fma.f64 x z -4))
✓	4.0b	(/.f64 (-.f64 x (fma.f64 x z -4)) y)

series22.0ms (0.5%)

Counts

2 → 60

Calls

2 calls:

18.0ms	(/.f64 (-.f64 x (fma.f64 x z -4)) y)
4.0ms	(-.f64 x (fma.f64 x z -4))

rewrite128.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

731×	`prod-diff_binary64`
259×	`egg-rr`
209×	`fma-def_binary64`
171×	`expm1-udef_binary64`
171×	`log1p-udef_binary64`

Counts

2 → 259

Calls

2 calls:

119.0ms	(-.f64 x (fma.f64 x z -4))
119.0ms	(/.f64 (-.f64 x (fma.f64 x z -4)) y)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	180	19
2	2479	19
3	4868	19
4	5139	19

simplify82.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

972×	`fma-neg_binary64`
314×	`fma-def_binary64`
207×	`cancel-sign-sub-inv_binary64`
162×	`distribute-rgt-in_binary64`
133×	`distribute-lft-in_binary64`

Counts

319 → 279

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	830
1	80	830
2	164	644
3	302	554
4	664	554
5	1205	554
6	1281	554
7	1480	554
8	1497	554
9	1497	554
10	1396	554

prune462.0ms (9.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	279	0	279
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	279	3	282

Error

Counts

282 → 3

Alt Table

Status	Error	Program
✓	4.3b	(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y))
✓	1.0b	(fabs.f64 (-.f64 (+.f64 (/.f64 x y) (.f64 4 (/.f64 1 y))) (.f64 (/.f64 x y) z)))
✓	1.0b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))))

Compiler

Compiled 10241 to 5675 computations (44.6% saved)

regimes863.0ms (17.7%)

Accuracy

Total 1.7b remaining (98.7%)

Threshold costs 0b (0%)

Counts

156 → 1

Compiler

Compiled 12532 to 8636 computations (31.1% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative_binary64`
7×	`sub-neg_binary64`
5×	`*-commutative_binary64`
5×	`neg-sub0_binary64`
5×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	16	18
2	25	18
3	34	18
4	46	18
5	53	18
6	56	18
7	57	18
8	56	18

end59.0ms (1.2%)

Compiler: Compiled 76 to 50 computations (34.2% saved)

Details

analyze669.0ms (13.7%)

sample1.3s (27.3%)

simplify62.0ms (1.3%)

prune3.0ms (0.1%)

localize9.0ms (0.2%)

series38.0ms (0.8%)

rewrite82.0ms (1.7%)

simplify92.0ms (1.9%)

prune165.0ms (3.4%)

localize8.0ms (0.2%)

series64.0ms (1.3%)

rewrite88.0ms (1.8%)

simplify83.0ms (1.7%)

prune165.0ms (3.4%)

localize12.0ms (0.2%)

series28.0ms (0.6%)

rewrite88.0ms (1.8%)

simplify84.0ms (1.7%)

prune186.0ms (3.8%)

localize6.0ms (0.1%)

series22.0ms (0.5%)

rewrite128.0ms (2.6%)

simplify82.0ms (1.7%)

prune462.0ms (9.5%)

regimes863.0ms (17.7%)

simplify3.0ms (0.1%)

end59.0ms (1.2%)

Profiling