Details

analyze74.0ms (1.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	12.5%	87.5%	0
0%	12.5%	87.5%	1
0%	12.5%	87.5%	2
3.1%	9.3%	87.5%	3
3.1%	6.2%	90.7%	4
4.7%	4.7%	90.7%	5
4.7%	3.5%	91.8%	6
5.6%	2.5%	91.8%	7
5.9%	1.8%	92.3%	8
6.4%	1.3%	92.3%	9
6.6%	0.9%	92.5%	10
6.8%	0.6%	92.5%	11
6.9%	0.5%	92.6%	12
7%	0.3%	92.6%	13
7.1%	0.2%	92.7%	14

Compiler

Compiled 26 to 19 computations (26.9% saved)

sample1.2s (23.6%)

Results

1.0s	8256×	body	128	valid
5.0ms	46×	body	128	invalid

Compiler

Compiled 67 to 49 computations (26.9% saved)

simplify137.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1247×	`unsub-neg_binary64`
616×	`neg-sub0_binary64`
571×	`neg-mul-1_binary64`
560×	`fma-neg_binary64`
452×	`sub-neg_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	20	19
2	46	17
3	116	17
4	358	17
5	1331	17
6	3463	17
7	3625	17
8	4293	17
9	4678	17
10	4650	17
11	4895	17
12	4905	17

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
	0.2b	(*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
▶	0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))

Compiler

Compiled 85 to 61 computations (28.2% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 m (-.f64 1 m))
✓	0.0b	(/.f64 (*.f64 m (-.f64 1 m)) v)
✓	0.0b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))

series25.0ms (0.5%)

Counts

3 → 56

Calls

3 calls:

12.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
10.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
2.0ms	(*.f64 m (-.f64 1 m))

rewrite206.0ms (4.2%)

Algorithm

3×	egg-rewrite

Rules

69×	`egg`
63×	`egg`
58×	`egg`

Counts

3 → 190

Calls

3 calls:

84.0ms	(*.f64 m (-.f64 1 m))
66.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
52.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	201	19
2	2755	17
3	5032	17
0	7	10
1	150	10
2	2027	10
3	5305	10
0	5	7
1	103	7
2	1237	7
3	4917	7
4	5441	7

simplify83.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

757×	`unsub-neg_binary64`
325×	`neg-sub0_binary64`
307×	`fma-def_binary64`
306×	`neg-mul-1_binary64`
286×	`div-sub_binary64`

Counts

246 → 216

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	33	809
1	96	783
2	234	771
3	614	707
4	2182	706
5	4133	706
6	5155	706

prune223.0ms (4.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	212	4	216
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	214	4	218

Error

Counts

218 → 4

Alt Table

Status	Error	Program
	0.1b	(+.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) (*.f64 (neg.f64 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))
	0.1b	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) (-.f64 1 m))
	12.3b	(/.f64 (.f64 (-.f64 1 (.f64 m m)) (+.f64 (pow.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 2) -1)) (.f64 (+.f64 m 1) (fma.f64 (/.f64 m v) (-.f64 1 m) 1)))
▶	0.1b	(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))

Compiler

Compiled 4361 to 2859 computations (34.4% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 m v) m)
✓	0.0b	(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
✓	11.5b	(/.f64 (pow.f64 m 3) v)
✓	12.2b	(/.f64 (pow.f64 m 2) v)

series48.0ms (1%)

Counts

4 → 27

Calls

4 calls:

17.0ms	(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
14.0ms	(/.f64 (pow.f64 m 3) v)
10.0ms	(/.f64 (pow.f64 m 2) v)
7.0ms	(+.f64 (/.f64 m v) m)

rewrite225.0ms (4.6%)

Algorithm

4×	egg-rewrite

Rules

78×	`egg`
64×	`egg`
53×	`egg`
38×	`egg`

Counts

4 → 233

Calls

4 calls:

83.0ms	(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
48.0ms	(+.f64 (/.f64 m v) m)
45.0ms	(/.f64 (pow.f64 m 2) v)
44.0ms	(/.f64 (pow.f64 m 3) v)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	127	7
2	1434	7
3	5461	7
0	6	7
1	129	7
2	1525	7
3	4948	7
0	16	31
1	380	29
2	4780	29
3	5222	29
0	5	7
1	115	7
2	1638	7
3	5377	7

simplify101.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

610×	`fma-neg_binary64`
566×	`distribute-rgt-neg-in_binary64`
470×	`cancel-sign-sub-inv_binary64`
323×	`fma-def_binary64`
292×	`associate-/l*_binary64`

Counts

260 → 247

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	28	258
1	78	256
2	182	245
3	454	227
4	1420	214
5	3738	214
6	4990	214
7	4989	214
8	4883	214

prune358.0ms (7.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	245	2	247
Fresh	2	1	3
Picked	0	1	1
Done	0	0	0
Total	247	4	251

Error

Counts

251 → 4

Alt Table

Status	Error	Program
	0.1b	(+.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) (*.f64 (neg.f64 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))
	0.1b	(-.f64 (+.f64 (/.f64 (pow.f64 m 3/2) (/.f64 v (pow.f64 m 3/2))) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
▶	0.1b	(-.f64 (+.f64 (.f64 (/.f64 m 1) (/.f64 (.f64 m m) v)) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
✓	0.1b	(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))

Compiler

Compiled 7759 to 4094 computations (47.2% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 (.f64 (/.f64 m 1) (/.f64 (.f64 m m) v)) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
✓	0.2b	(.f64 (/.f64 m 1) (/.f64 (.f64 m m) v))
✓	12.2b	(/.f64 (*.f64 m m) v)
	12.2b	(/.f64 (pow.f64 m 2) v)

series40.0ms (0.8%)

Counts

3 → 72

Calls

3 calls:

16.0ms	(-.f64 (+.f64 (.f64 (/.f64 m 1) (/.f64 (.f64 m m) v)) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
14.0ms	(.f64 (/.f64 m 1) (/.f64 (.f64 m m) v))
10.0ms	(/.f64 (*.f64 m m) v)

rewrite225.0ms (4.6%)

Algorithm

3×	egg-rewrite

Rules

83×	`egg`
68×	`egg`
65×	`egg`

Counts

3 → 216

Calls

3 calls:

92.0ms	(-.f64 (+.f64 (.f64 (/.f64 m 1) (/.f64 (.f64 m m) v)) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
85.0ms	(.f64 (/.f64 m 1) (/.f64 (.f64 m m) v))
43.0ms	(/.f64 (*.f64 m m) v)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	106	7
2	1363	7
3	5319	7
0	8	10
1	153	7
2	1890	7
3	4984	7
4	4942	7
0	17	32
1	350	29
2	4743	29
3	5165	29

simplify115.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

587×	`fma-neg_binary64`
527×	`cancel-sign-sub-inv_binary64`
491×	`unswap-sqr_binary64`
448×	`associate-l_binary64`
260×	`sub-neg_binary64`

Counts

288 → 231

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	26	876
1	78	850
2	188	839
3	519	773
4	1426	703
5	3944	702
6	4958	702
7	4950	702
8	4889	702

prune350.0ms (7.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	308	0	308
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	308	4	312

Error

Counts

312 → 4

Alt Table

Status	Error	Program
▶	0.1b	(+.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) (*.f64 (neg.f64 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))
	0.1b	(-.f64 (+.f64 (/.f64 (pow.f64 m 3/2) (/.f64 v (pow.f64 m 3/2))) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
✓	0.1b	(-.f64 (+.f64 (.f64 (/.f64 m 1) (/.f64 (.f64 m m) v)) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
✓	0.1b	(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))

Compiler

Compiled 9995 to 4961 computations (50.4% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) (*.f64 (neg.f64 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))
✓	0.1b	(fma.f64 (/.f64 m v) (-.f64 1 m) -1)
✓	0.2b	(*.f64 (neg.f64 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))

series34.0ms (0.7%)

Counts

3 → 72

Calls

3 calls:

14.0ms	(*.f64 (neg.f64 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
13.0ms	(+.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) (*.f64 (neg.f64 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))
7.0ms	(fma.f64 (/.f64 m v) (-.f64 1 m) -1)

rewrite188.0ms (3.9%)

Algorithm

3×	egg-rewrite

Rules

174×	`egg`
38×	`egg`
23×	`egg`

Counts

3 → 235

Calls

3 calls:

78.0ms	(+.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) (*.f64 (neg.f64 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))
57.0ms	(*.f64 (neg.f64 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
48.0ms	(fma.f64 (/.f64 m v) (-.f64 1 m) -1)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	205	14
2	2235	14
3	5725	14
0	8	11
1	163	11
2	1998	11
3	5174	11
0	11	19
1	237	17
2	2745	17
3	5227	17

simplify91.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

874×	`fma-neg_binary64`
346×	`fma-def_binary64`
259×	`sub-neg_binary64`
241×	`distribute-rgt-in_binary64`
234×	`neg-mul-1_binary64`

Counts

307 → 266

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	40	1198
1	116	1127
2	265	1068
3	725	966
4	2044	896
5	4605	895
6	4998	895

prune298.0ms (6.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	299	0	299
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	299	4	303

Error

Counts

303 → 4

Alt Table

Status	Error	Program
✓	0.1b	(+.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) -1) (*.f64 (neg.f64 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))
	0.1b	(-.f64 (+.f64 (/.f64 (pow.f64 m 3/2) (/.f64 v (pow.f64 m 3/2))) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
✓	0.1b	(-.f64 (+.f64 (.f64 (/.f64 m 1) (/.f64 (.f64 m m) v)) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
✓	0.1b	(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))

Compiler

Compiled 8571 to 3786 computations (55.8% saved)

regimes763.0ms (15.6%)

Accuracy

Total 0.0b remaining (70.1%)

Threshold costs 0.0b (70.1%)

Counts

251 → 1

Compiler

Compiled 14271 to 9864 computations (30.9% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
2×	`*-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-rgt-identity_binary64`
1×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	29
1	23	29
2	27	29
3	29	29
4	30	29
5	29	29

end94.0ms (1.9%)

Compiler: Compiled 143 to 95 computations (33.6% saved)

Details

analyze74.0ms (1.5%)

sample1.2s (23.6%)

simplify137.0ms (2.8%)

prune3.0ms (0.1%)

localize7.0ms (0.1%)

series25.0ms (0.5%)

rewrite206.0ms (4.2%)

simplify83.0ms (1.7%)

prune223.0ms (4.6%)

localize12.0ms (0.3%)

series48.0ms (1%)

rewrite225.0ms (4.6%)

simplify101.0ms (2.1%)

prune358.0ms (7.3%)

localize14.0ms (0.3%)

series40.0ms (0.8%)

rewrite225.0ms (4.6%)

simplify115.0ms (2.4%)

prune350.0ms (7.2%)

localize8.0ms (0.2%)

series34.0ms (0.7%)

rewrite188.0ms (3.9%)

simplify91.0ms (1.9%)

prune298.0ms (6.1%)

regimes763.0ms (15.6%)

simplify3.0ms (0.1%)

end94.0ms (1.9%)

Profiling