Details

analyze141.0ms (2.7%)

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)

sample1.9s (37.3%)

Results

1.8s	8256×	body	128	valid
13.0ms	63×	body	128	invalid

Compiler

Compiled 67 to 49 computations (26.9% saved)

simplify152.0ms (2.9%)

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

prune6.0ms (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
▶	0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
	0.4b	(*.f64 (-.f64 1 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))

Compiler

Compiled 85 to 61 computations (28.2% saved)

localize13.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series43.0ms (0.8%)

Counts

2 → 44

Calls

2 calls:

24.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
20.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)

rewrite108.0ms (2.1%)

Algorithm

2×	batch-egg-rewrite

Rules

501×	`prod-diff_binary64`
188×	`fma-def_binary64`
179×	`expm1-udef_binary64`
178×	`log1p-udef_binary64`
174×	`fma-neg_binary64`

Counts

2 → 102

Calls

2 calls:

103.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
103.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
1	201	29
2	2755	27
3	5032	27
0	0	0
1	0	0

simplify97.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

756×	`unsub-neg_binary64`
324×	`neg-sub0_binary64`
306×	`neg-mul-1_binary64`
302×	`fma-def_binary64`
277×	`div-sub_binary64`

Counts

146 → 124

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	32	733
1	95	707
2	230	695
3	609	631
4	2168	630
5	4103	630
6	5103	630

prune216.0ms (4.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	121	3	124
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	123	3	126

Error

Counts

126 → 3

Alt Table

Status	Error	Program
	0.1b	(+.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))))
	0.4b	(.f64 (-.f64 (.f64 (*.f64 m (-.f64 1 m)) (/.f64 1 v)) 1) (-.f64 1 m))

Compiler

Compiled 2606 to 1687 computations (35.3% saved)

localize24.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.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))))
✓	7.1b	(/.f64 (pow.f64 m 3) v)
✓	9.9b	(/.f64 (pow.f64 m 2) v)

series103.0ms (2%)

Counts

4 → 12

Calls

4 calls:

33.0ms	(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
25.0ms	(/.f64 (pow.f64 m 3) v)
24.0ms	(*.f64 2 (/.f64 (pow.f64 m 2) v))
21.0ms	(/.f64 (pow.f64 m 2) v)

rewrite149.0ms (2.9%)

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 → 131

Calls

4 calls:

142.0ms	(*.f64 2 (/.f64 (pow.f64 m 2) v))
142.0ms	(-.f64 (+.f64 (/.f64 (pow.f64 m 3) v) (+.f64 (/.f64 m v) m)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 m 2) v))))
142.0ms	(/.f64 (pow.f64 m 3) v)
142.0ms	(/.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

simplify148.0ms (2.8%)

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

143 → 145

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

prune347.0ms (6.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	144	1	145
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	146	2	148

Error

Counts

148 → 2

Alt Table

Status	Error	Program
▶	0.0b	(+.f64 (/.f64 (pow.f64 m 3) v) (-.f64 (+.f64 m (/.f64 m v)) (fma.f64 2 (/.f64 (*.f64 m m) v) 1)))
	0.4b	(.f64 (-.f64 (.f64 (*.f64 m (-.f64 1 m)) (/.f64 1 v)) 1) (-.f64 1 m))

Compiler

Compiled 4654 to 2369 computations (49.1% saved)

localize24.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 (pow.f64 m 3) v) (-.f64 (+.f64 m (/.f64 m v)) (fma.f64 2 (/.f64 (*.f64 m m) v) 1)))
✓	0.0b	(-.f64 (+.f64 m (/.f64 m v)) (fma.f64 2 (/.f64 (*.f64 m m) v) 1))
	7.1b	(/.f64 (pow.f64 m 3) v)
✓	9.9b	(/.f64 (*.f64 m m) v)

series77.0ms (1.5%)

Counts

3 → 72

Calls

3 calls:

34.0ms	(+.f64 (/.f64 (pow.f64 m 3) v) (-.f64 (+.f64 m (/.f64 m v)) (fma.f64 2 (/.f64 (*.f64 m m) v) 1)))
23.0ms	(-.f64 (+.f64 m (/.f64 m v)) (fma.f64 2 (/.f64 (*.f64 m m) v) 1))
20.0ms	(/.f64 (*.f64 m m) v)

rewrite131.0ms (2.5%)

Algorithm

2×	batch-egg-rewrite

Rules

293×	`log1p-udef_binary64`
166×	`add-sqr-sqrt_binary64`
164×	`log1p-expm1-u_binary64`
164×	`expm1-log1p-u_binary64`
157×	`add-cbrt-cube_binary64`

Counts

3 → 136

Calls

3 calls:

121.0ms	(+.f64 (/.f64 (pow.f64 m 3) v) (-.f64 (+.f64 m (/.f64 m v)) (fma.f64 2 (/.f64 (*.f64 m m) v) 1)))
121.0ms	(-.f64 (+.f64 m (/.f64 m v)) (fma.f64 2 (/.f64 (*.f64 m m) v) 1))
121.0ms	(/.f64 (*.f64 m m) v)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	56
1	345	56
2	4731	56
3	5128	56
0	0	0
1	0	0

simplify129.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

655×	`fma-neg_binary64`
550×	`cancel-sign-sub-inv_binary64`
491×	`unswap-sqr_binary64`
467×	`associate-l_binary64`
281×	`sub-neg_binary64`

Counts

208 → 160

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	31	1128
1	88	1032
2	193	959
3	541	935
4	1496	865
5	4148	865
6	5049	865

prune287.0ms (5.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	189	0	189
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	189	2	191

Error

Counts

191 → 2

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 (/.f64 (pow.f64 m 3) v) (-.f64 (+.f64 m (/.f64 m v)) (fma.f64 2 (/.f64 (*.f64 m m) v) 1)))
▶	0.4b	(.f64 (-.f64 (.f64 (*.f64 m (-.f64 1 m)) (/.f64 1 v)) 1) (-.f64 1 m))

Compiler

Compiled 6040 to 2776 computations (54% saved)

localize14.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (-.f64 (.f64 (*.f64 m (-.f64 1 m)) (/.f64 1 v)) 1) (-.f64 1 m))
✓	0.5b	(.f64 (.f64 m (-.f64 1 m)) (/.f64 1 v))

series44.0ms (0.8%)

Counts

2 → 48

Calls

2 calls:

25.0ms	(.f64 (-.f64 (.f64 (*.f64 m (-.f64 1 m)) (/.f64 1 v)) 1) (-.f64 1 m))
19.0ms	(.f64 (.f64 m (-.f64 1 m)) (/.f64 1 v))

rewrite102.0ms (1.9%)

Algorithm

2×	batch-egg-rewrite

Rules

847×	`prod-diff_binary64`
191×	`expm1-udef_binary64`
190×	`log1p-udef_binary64`
112×	`add-sqr-sqrt_binary64`
105×	`log1p-expm1-u_binary64`

Counts

2 → 60

Calls

2 calls:

99.0ms	(.f64 (-.f64 (.f64 (*.f64 m (-.f64 1 m)) (/.f64 1 v)) 1) (-.f64 1 m))
99.0ms	(.f64 (.f64 m (-.f64 1 m)) (/.f64 1 v))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	223	27
2	2856	27
3	5011	27
0	0	0
1	0	0

simplify106.0ms (2%)

Algorithm

1×	egg-herbie

Rules

391×	`fma-def_binary64`
343×	`distribute-rgt-out_binary64`
338×	`neg-sub0_binary64`
324×	`neg-mul-1_binary64`
298×	`div-sub_binary64`

Counts

108 → 83

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	34	773
1	99	747
2	237	735
3	629	671
4	2280	671
5	4283	671
6	4943	671

prune124.0ms (2.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	83	2	85

Error

Counts

85 → 2

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 (/.f64 (pow.f64 m 3) v) (-.f64 (+.f64 m (/.f64 m v)) (fma.f64 2 (/.f64 (*.f64 m m) v) 1)))
✓	0.4b	(.f64 (-.f64 (.f64 (*.f64 m (-.f64 1 m)) (/.f64 1 v)) 1) (-.f64 1 m))

Compiler

Compiled 1494 to 1012 computations (32.3% saved)

regimes573.0ms (11%)

Accuracy

Total 0.0b remaining (56.8%)

Threshold costs 0.0b (56.8%)

Counts

108 → 1

Compiler

Compiled 5289 to 3813 computations (27.9% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	29
1	21	29
2	25	29
3	27	29
4	28	29
5	27	29

end111.0ms (2.1%)

Compiler: Compiled 83 to 55 computations (33.7% saved)

Details

analyze141.0ms (2.7%)

sample1.9s (37.3%)

simplify152.0ms (2.9%)

prune6.0ms (0.1%)

localize13.0ms (0.3%)

series43.0ms (0.8%)

rewrite108.0ms (2.1%)

simplify97.0ms (1.9%)

prune216.0ms (4.1%)

localize24.0ms (0.5%)

series103.0ms (2%)

rewrite149.0ms (2.9%)

simplify148.0ms (2.8%)

prune347.0ms (6.6%)

localize24.0ms (0.5%)

series77.0ms (1.5%)

rewrite131.0ms (2.5%)

simplify129.0ms (2.5%)

prune287.0ms (5.5%)

localize14.0ms (0.3%)

series44.0ms (0.8%)

rewrite102.0ms (1.9%)

simplify106.0ms (2%)

prune124.0ms (2.4%)

regimes573.0ms (11%)

simplify4.0ms (0.1%)

end111.0ms (2.1%)

Profiling