Details

analyze89.0ms (2.5%)

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)

sample1.1s (31.6%)

Results

980.0ms	8256×	body	128	valid
7.0ms	62×	body	128	invalid

Compiler

Compiled 67 to 49 computations (26.9% saved)

simplify121.0ms (3.5%)

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

Compiler

Compiled 85 to 61 computations (28.2% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series32.0ms (0.9%)

Counts

4 → 80

Calls

4 calls:

11.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
9.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
8.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
3.0ms	(*.f64 m (-.f64 1 m))

rewrite76.0ms (2.2%)

Algorithm

2×	batch-egg-rewrite

Rules

501×	`prod-diff_binary64`
196×	`egg-rr`
188×	`fma-def_binary64`
179×	`expm1-udef_binary64`
178×	`log1p-udef_binary64`

Counts

4 → 196

Calls

4 calls:

71.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
71.0ms	(*.f64 m (-.f64 1 m))
71.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
71.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	49
1	201	49
2	2755	45
3	5032	45
0	0	0
1	0	0

simplify100.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

506×	`sub-neg_binary64`
328×	`neg-sub0_binary64`
314×	`fma-def_binary64`
311×	`neg-mul-1_binary64`
286×	`div-sub_binary64`

Counts

276 → 227

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	36	1107
1	104	1036
2	249	1024
3	646	960
4	2235	959
5	4181	959
6	4985	959
7	4905	959

prune198.0ms (5.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	223	4	227
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	225	4	229

Error

0.0b

Counts

229 → 4

Alt Table

Status	Error	Program
	0.4b	(*.f64 (fma.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v)) -1) (-.f64 1 m))
	0.1b	(.f64 (-.f64 (/.f64 (+.f64 m (.f64 (neg.f64 m) m)) v) 1) (-.f64 1 m))
	0.0b	(+.f64 -1 (+.f64 (+.f64 m (/.f64 m v)) (.f64 (.f64 m (/.f64 m v)) (+.f64 m -2))))
▶	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))))

Compiler

Compiled 4499 to 2923 computations (35% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	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))))
✓	0.0b	(*.f64 2 (/.f64 (pow.f64 m 2) v))
✓	8.4b	(/.f64 (pow.f64 m 3) v)
✓	16.6b	(/.f64 (pow.f64 m 2) v)

series50.0ms (1.4%)

Counts

4 → 12

Calls

4 calls:

15.0ms	(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
13.0ms	(*.f64 2 (/.f64 (pow.f64 m 2) v))
12.0ms	(/.f64 (pow.f64 m 3) v)
10.0ms	(/.f64 (pow.f64 m 2) v)

rewrite85.0ms (2.4%)

Algorithm

2×	batch-egg-rewrite

Rules

322×	`log1p-udef_binary64`
181×	`add-sqr-sqrt_binary64`
181×	`log1p-expm1-u_binary64`
181×	`expm1-log1p-u_binary64`
172×	`add-log-exp_binary64`

Counts

4 → 135

Calls

4 calls:

82.0ms	(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
82.0ms	(*.f64 2 (/.f64 (pow.f64 m 2) v))
82.0ms	(/.f64 (pow.f64 m 3) v)
82.0ms	(/.f64 (pow.f64 m 2) v)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	55
1	380	53
2	4780	53
3	5222	53
0	0	0
1	0	0

simplify104.0ms (3%)

Algorithm

1×	egg-herbie

Rules

538×	`unswap-sqr_binary64`
448×	`associate-l_binary64`
408×	`associate-r_binary64`
401×	`fma-neg_binary64`
381×	`cancel-sign-sub-inv_binary64`

Counts

147 → 148

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	25	168
1	73	166
2	169	155
3	429	137
4	1162	127
5	3944	126
6	4997	126
7	4933	126
8	4998	126
9	4884	126

prune160.0ms (4.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	147	1	148
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	147	5	152

Error

Counts

152 → 5

Alt Table

Status	Error	Program
▶	0.0b	(+.f64 -1 (+.f64 (+.f64 m (/.f64 m v)) (.f64 (.f64 m (/.f64 m v)) (+.f64 m -2))))
	0.1b	(-.f64 (+.f64 (.f64 (/.f64 (.f64 m m) 1) (/.f64 m v)) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
	0.4b	(*.f64 (fma.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v)) -1) (-.f64 1 m))
	0.1b	(.f64 (-.f64 (/.f64 (+.f64 m (.f64 (neg.f64 m) m)) v) 1) (-.f64 1 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))))

Compiler

Compiled 4821 to 2459 computations (49% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 -1 (+.f64 (+.f64 m (/.f64 m v)) (.f64 (.f64 m (/.f64 m v)) (+.f64 m -2))))
✓	0.0b	(+.f64 m (/.f64 m v))
✓	0.1b	(.f64 (.f64 m (/.f64 m v)) (+.f64 m -2))
✓	0.2b	(*.f64 m (/.f64 m v))

series46.0ms (1.3%)

Counts

4 → 96

Calls

4 calls:

14.0ms	(.f64 (.f64 m (/.f64 m v)) (+.f64 m -2))
14.0ms	(+.f64 -1 (+.f64 (+.f64 m (/.f64 m v)) (.f64 (.f64 m (/.f64 m v)) (+.f64 m -2))))
10.0ms	(*.f64 m (/.f64 m v))
8.0ms	(+.f64 m (/.f64 m v))

rewrite79.0ms (2.3%)

Algorithm

2×	batch-egg-rewrite

Rules

268×	`expm1-udef_binary64`
268×	`log1p-udef_binary64`
149×	`add-sqr-sqrt_binary64`
145×	`log1p-expm1-u_binary64`
145×	`expm1-log1p-u_binary64`

Counts

4 → 129

Calls

4 calls:

76.0ms	(+.f64 -1 (+.f64 (+.f64 m (/.f64 m v)) (.f64 (.f64 m (/.f64 m v)) (+.f64 m -2))))
76.0ms	(+.f64 m (/.f64 m v))
76.0ms	(.f64 (.f64 m (/.f64 m v)) (+.f64 m -2))
76.0ms	(*.f64 m (/.f64 m v))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	52
1	292	50
2	4305	50
3	5056	50
0	0	0
1	0	0

simplify120.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

562×	`fma-def_binary64`
382×	`distribute-rgt-out_binary64`
286×	`neg-mul-1_binary64`
277×	`neg-sub0_binary64`
253×	`distribute-rgt-neg-in_binary64`

Counts

225 → 155

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	39	1278
1	107	1120
2	260	1057
3	732	985
4	2346	985
5	4359	982
6	4958	982
7	4999	982
8	4940	982

prune241.0ms (6.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	154	1	155
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	155	5	160

Error

Counts

160 → 5

Alt Table

Status	Error	Program
	0.4b	(*.f64 (fma.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v)) -1) (-.f64 1 m))
	0.1b	(+.f64 m (+.f64 -1 (/.f64 (fma.f64 (*.f64 m m) (+.f64 m -2) m) v)))
✓	0.0b	(+.f64 -1 (+.f64 (+.f64 m (/.f64 m v)) (.f64 (.f64 m (/.f64 m v)) (+.f64 m -2))))
▶	0.1b	(-.f64 (+.f64 (.f64 (/.f64 (.f64 m m) 1) (/.f64 m v)) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
✓	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))))

Compiler

Compiled 3774 to 1665 computations (55.9% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 m v) m)
	0.0b	(*.f64 2 (/.f64 (pow.f64 m 2) v))
✓	2.3b	(.f64 (/.f64 (.f64 m m) 1) (/.f64 m v))
	16.6b	(/.f64 (pow.f64 m 2) v)

series19.0ms (0.6%)

Counts

2 → 39

Calls

2 calls:

13.0ms	(.f64 (/.f64 (.f64 m m) 1) (/.f64 m v))
6.0ms	(+.f64 (/.f64 m v) m)

rewrite87.0ms (2.5%)

Algorithm

2×	batch-egg-rewrite

Rules

958×	`prod-diff_binary64`
209×	`fma-def_binary64`
164×	`fma-neg_binary64`
155×	`expm1-udef_binary64`
155×	`log1p-udef_binary64`

Counts

2 → 110

Calls

2 calls:

85.0ms	(+.f64 (/.f64 m v) m)
85.0ms	(.f64 (/.f64 (.f64 m m) 1) (/.f64 m v))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	183	14
2	2393	14
3	4778	14
4	4942	14
0	0	0
1	0	0

simplify129.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

733×	`sqr-pow_binary64`
525×	`associate-*l/_binary64`
428×	`*-commutative_binary64`
417×	`associate-/r/_binary64`
362×	`unswap-sqr_binary64`

Counts

149 → 113

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	294
1	23	294
2	42	258
3	63	258
4	139	258
5	299	258
6	887	258
7	1688	258
8	1942	258
9	2068	258
10	2224	258
11	2331	258
12	2541	258
13	2842	258
14	3912	258
15	4122	258
16	4732	258
17	4753	258

prune175.0ms (5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	159	5	164

Error

Counts

164 → 5

Alt Table

Status	Error	Program
	0.4b	(*.f64 (fma.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v)) -1) (-.f64 1 m))
	0.1b	(+.f64 m (+.f64 -1 (/.f64 (fma.f64 (*.f64 m m) (+.f64 m -2) m) v)))
✓	0.0b	(+.f64 -1 (+.f64 (+.f64 m (/.f64 m v)) (.f64 (.f64 m (/.f64 m v)) (+.f64 m -2))))
✓	0.1b	(-.f64 (+.f64 (.f64 (/.f64 (.f64 m m) 1) (/.f64 m v)) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
✓	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))))

Compiler

Compiled 4613 to 2315 computations (49.8% saved)

regimes343.0ms (9.8%)

Accuracy

Total 0.1b remaining (85.5%)

Threshold costs 0.1b (85.5%)

Counts

128 → 1

Compiler

Compiled 6471 to 4623 computations (28.6% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	15	23
2	15	23

end82.0ms (2.3%)

Compiler: Compiled 139 to 86 computations (38.1% saved)

Details

analyze89.0ms (2.5%)

sample1.1s (31.6%)

simplify121.0ms (3.5%)

prune3.0ms (0.1%)

localize7.0ms (0.2%)

series32.0ms (0.9%)

rewrite76.0ms (2.2%)

simplify100.0ms (2.9%)

prune198.0ms (5.7%)

localize15.0ms (0.4%)

series50.0ms (1.4%)

rewrite85.0ms (2.4%)

simplify104.0ms (3%)

prune160.0ms (4.6%)

localize9.0ms (0.3%)

series46.0ms (1.3%)

rewrite79.0ms (2.3%)

simplify120.0ms (3.4%)

prune241.0ms (6.9%)

localize12.0ms (0.4%)

series19.0ms (0.6%)

rewrite87.0ms (2.5%)

simplify129.0ms (3.7%)

prune175.0ms (5%)

regimes343.0ms (9.8%)

simplify2.0ms (0.1%)

end82.0ms (2.3%)

Profiling