Details

analyze531.0ms (11%)

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)

sample1.6s (33%)

Results

1.3s	8256×	body	128	valid
168.0ms	1249×	body	128	invalid

Compiler

Compiled 47 to 32 computations (31.9% saved)

simplify66.0ms (1.4%)

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

0.1b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	2.3b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
	4.4b	(fabs.f64 (/.f64 (-.f64 x (fma.f64 x z -4)) y))

Compiler

Compiled 78 to 51 computations (34.6% saved)

localize7.0ms (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)
✓	3.7b	(*.f64 (/.f64 x y) z)

series43.0ms (0.9%)

Counts

3 → 96

Calls

3 calls:

23.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
15.0ms	(*.f64 (/.f64 x y) z)
5.0ms	(/.f64 (+.f64 x 4) y)

rewrite76.0ms (1.6%)

Algorithm

2×	batch-egg-rewrite

Rules

176× egg-rr

Counts

3 → 176

Calls

2 calls:

72.0ms	((.f64 (/.f64 x y) z) (/.f64 (+.f64 x 4) y) (-.f64 (/.f64 (+.f64 x 4) y) (.f64 (/.f64 x y) z)))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

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

simplify86.0ms (1.8%)

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

272 → 193

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

prune150.0ms (3.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	188	5	193
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	190	5	195

Error

Counts

195 → 5

Alt Table

Status	Error	Program
	2.3b	(fabs.f64 (-.f64 (+.f64 (/.f64 x y) (.f64 4 (/.f64 1 y))) (.f64 (/.f64 x y) z)))
	31.3b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (/.f64 (*.f64 x z) (sqrt.f64 y)) (sqrt.f64 y))))
	29.5b	(fabs.f64 (*.f64 x (/.f64 (-.f64 1 z) y)))
▶	2.3b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))))
	3.4b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 x (/.f64 y z))))

Compiler

Compiled 4140 to 1990 computations (51.9% 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 z (/.f64 y x)))
	0.0b	(/.f64 (+.f64 x 4) y)
✓	3.6b	(/.f64 z (/.f64 y x))

series35.0ms (0.7%)

Counts

2 → 72

Calls

2 calls:

22.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x)))
12.0ms	(/.f64 z (/.f64 y x))

rewrite85.0ms (1.8%)

Algorithm

2×	batch-egg-rewrite

Rules

182× egg-rr

Counts

2 → 182

Calls

2 calls:

80.0ms	((/.f64 z (/.f64 y x)) (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

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

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

254 → 196

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

prune182.0ms (3.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	234	0	234
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	234	5	239

Error

Counts

239 → 5

Alt Table

Status	Error	Program
▶	2.3b	(fabs.f64 (-.f64 (+.f64 (/.f64 x y) (.f64 4 (/.f64 1 y))) (.f64 (/.f64 x y) z)))
	31.3b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (/.f64 (*.f64 x z) (sqrt.f64 y)) (sqrt.f64 y))))
	29.5b	(fabs.f64 (*.f64 x (/.f64 (-.f64 1 z) y)))
✓	2.3b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))))
	3.4b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 x (/.f64 y z))))

Compiler

Compiled 5409 to 2396 computations (55.7% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))
✓	0.0b	(-.f64 (+.f64 (/.f64 x y) (.f64 4 (/.f64 1 y))) (.f64 (/.f64 x y) z))
	3.7b	(*.f64 (/.f64 x y) z)

series28.0ms (0.6%)

Counts

2 → 57

Calls

2 calls:

21.0ms	(-.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)))

rewrite90.0ms (1.9%)

Algorithm

2×	batch-egg-rewrite

Rules

219× egg-rr

Counts

2 → 219

Calls

2 calls:

85.0ms	((-.f64 (+.f64 (/.f64 x y) (.f64 4 (/.f64 1 y))) (.f64 (/.f64 x y) z)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

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

simplify79.0ms (1.6%)

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

276 → 235

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

prune203.0ms (4.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	259	0	259
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	259	5	264

Error

Counts

264 → 5

Alt Table

Status	Error	Program
✓	2.3b	(fabs.f64 (-.f64 (+.f64 (/.f64 x y) (.f64 4 (/.f64 1 y))) (.f64 (/.f64 x y) z)))
	31.3b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (/.f64 (*.f64 x z) (sqrt.f64 y)) (sqrt.f64 y))))
	29.5b	(fabs.f64 (*.f64 x (/.f64 (-.f64 1 z) y)))
✓	2.3b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))))
▶	3.4b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 x (/.f64 y z))))

Compiler

Compiled 5925 to 2572 computations (56.6% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (+.f64 x 4) y)
✓	0.0b	(-.f64 (/.f64 (+.f64 x 4) y) (/.f64 x (/.f64 y z)))
✓	6.7b	(/.f64 x (/.f64 y z))

series35.0ms (0.7%)

Counts

2 → 72

Calls

2 calls:

22.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (/.f64 x (/.f64 y z)))
12.0ms	(/.f64 x (/.f64 y z))

rewrite82.0ms (1.7%)

Algorithm

2×	batch-egg-rewrite

Rules

182× egg-rr

Counts

2 → 182

Calls

2 calls:

78.0ms	((/.f64 x (/.f64 y z)) (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 x (/.f64 y z))))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	245	23
2	3789	23
3	5137	23
0	0	0
1	0	0

simplify88.0ms (1.8%)

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

254 → 196

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

prune170.0ms (3.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	234	0	234
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	234	5	239

Error

Counts

239 → 5

Alt Table

Status	Error	Program
✓	2.3b	(fabs.f64 (-.f64 (+.f64 (/.f64 x y) (.f64 4 (/.f64 1 y))) (.f64 (/.f64 x y) z)))
	31.3b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (/.f64 (*.f64 x z) (sqrt.f64 y)) (sqrt.f64 y))))
	29.5b	(fabs.f64 (*.f64 x (/.f64 (-.f64 1 z) y)))
✓	2.3b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))))
✓	3.4b	(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 x (/.f64 y z))))

Compiler

Compiled 5345 to 2354 computations (56% saved)

regimes988.0ms (20.5%)

Accuracy

Total 0.4b remaining (96%)

Threshold costs 0.4b (96%)

Counts

137 → 3

Compiler

Compiled 11172 to 7686 computations (31.2% saved)

bsearch4.0ms (0.1%)

Compiler: Compiled 14 to 9 computations (35.7% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

17×	`+-commutative_binary64`
16×	`sub-neg_binary64`
10×	`*-commutative_binary64`
9×	`neg-sub0_binary64`
9×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	99
1	49	99
2	75	99
3	96	99
4	113	99
5	119	99
6	120	99
7	119	99

end82.0ms (1.7%)

Compiler: Compiled 217 to 134 computations (38.2% saved)

Details

analyze531.0ms (11%)

sample1.6s (33%)

simplify66.0ms (1.4%)

prune3.0ms (0.1%)

localize7.0ms (0.2%)

series43.0ms (0.9%)

rewrite76.0ms (1.6%)

simplify86.0ms (1.8%)

prune150.0ms (3.1%)

localize9.0ms (0.2%)

series35.0ms (0.7%)

rewrite85.0ms (1.8%)

simplify84.0ms (1.7%)

prune182.0ms (3.8%)

localize8.0ms (0.2%)

series28.0ms (0.6%)

rewrite90.0ms (1.9%)

simplify79.0ms (1.6%)

prune203.0ms (4.2%)

localize9.0ms (0.2%)

series35.0ms (0.7%)

rewrite82.0ms (1.7%)

simplify88.0ms (1.8%)

prune170.0ms (3.5%)

regimes988.0ms (20.5%)

bsearch4.0ms (0.1%)

simplify5.0ms (0.1%)

end82.0ms (1.7%)

Profiling