Details

analyze143.0ms (5.4%)

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
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
50%	46.8%	3.2%	7
56.2%	37.5%	6.3%	8
62.4%	25.8%	11.8%	9
65.6%	20.3%	14.1%	10
68.7%	13.5%	17.9%	11
70.2%	10.5%	19.2%	12
71.8%	6.9%	21.3%	13
72.6%	5.4%	22%	14

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample871.0ms (32.9%)

Results

778.0ms	8256×	body	128	valid
32.0ms	335×	body	128	invalid

Compiler

Compiled 41 to 32 computations (22% saved)

simplify78.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

877×	`div-sub_binary64`
637×	`sub-neg_binary64`
618×	`unsub-neg_binary64`
440×	`neg-sub0_binary64`
439×	`neg-mul-1_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	24	16
2	71	16
3	192	16
4	634	16
5	1914	16
6	3304	16
7	4241	16
8	4674	16
9	4931	16

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

6.5b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	6.5b	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))

Compiler

Compiled 50 to 38 computations (24% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 1 x) (-.f64 3 x))
✓	6.0b	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))

series13.0ms (0.5%)

Counts

2 → 36

Calls

2 calls:

11.0ms	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))
2.0ms	(*.f64 (-.f64 1 x) (-.f64 3 x))

rewrite70.0ms (2.6%)

Algorithm

2×	batch-egg-rewrite

Rules

230×	`prod-diff_binary64`
206×	`log-div_binary64`
204×	`expm1-udef_binary64`
203×	`log1p-udef_binary64`
168×	`log-pow_binary64`

Counts

2 → 108

Calls

2 calls:

67.0ms	(*.f64 (-.f64 1 x) (-.f64 3 x))
67.0ms	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	224	26
2	3191	26
3	5072	26
0	0	0
1	0	0

simplify57.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

569×	`unsub-neg_binary64`
436×	`cancel-sign-sub-inv_binary64`
385×	`distribute-rgt-in_binary64`
378×	`fma-neg_binary64`
314×	`distribute-lft-in_binary64`

Counts

144 → 129

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	38	603
1	104	547
2	232	419
3	619	372
4	1734	362
5	4087	362
6	5045	362

prune102.0ms (3.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	124	5	129
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	124	6	130

Error

Counts

130 → 6

Alt Table

Status	Error	Program
	0.4b	(.f64 (-.f64 1 x) (.f64 (-.f64 3 x) (/.f64 1/3 y)))
	6.4b	(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y)
✓	6.5b	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))
	0.2b	(.f64 (/.f64 (-.f64 1 x) 1) (/.f64 (-.f64 3 x) (.f64 3 y)))
▶	0.1b	(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))
	0.1b	(-.f64 (/.f64 1 (/.f64 y (/.f64 (-.f64 3 x) 3))) (/.f64 x (/.f64 y (/.f64 (-.f64 3 x) 3))))

Compiler

Compiled 2223 to 1624 computations (26.9% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 1 x) y)
✓	0.0b	(/.f64 (-.f64 3 x) 3)
✓	0.1b	(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))

series20.0ms (0.7%)

Counts

3 → 52

Calls

3 calls:

11.0ms	(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))
7.0ms	(/.f64 (-.f64 1 x) y)
1.0ms	(/.f64 (-.f64 3 x) 3)

rewrite78.0ms (2.9%)

Algorithm

2×	batch-egg-rewrite

Rules

263×	`prod-diff_binary64`
214×	`expm1-udef_binary64`
213×	`log1p-udef_binary64`
173×	`log-pow_binary64`
151×	`egg-rr`

Counts

3 → 151

Calls

3 calls:

74.0ms	(/.f64 (-.f64 1 x) y)
74.0ms	(/.f64 (-.f64 3 x) 3)
74.0ms	(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	237	30
2	3360	30
3	4921	30
0	0	0
1	0	0

simplify70.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

508×	`div-sub_binary64`
473×	`cancel-sign-sub-inv_binary64`
432×	`associate-/l*_binary64`
390×	`fma-neg_binary64`
317×	`neg-mul-1_binary64`

Counts

203 → 172

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	41	707
1	112	675
2	237	496
3	662	449
4	2040	439
5	4284	439
6	5045	439

prune114.0ms (4.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	171	1	172
Fresh	2	2	4
Picked	0	1	1
Done	1	0	1
Total	174	4	178

Error

Counts

178 → 4

Alt Table

Status	Error	Program
	0.4b	(.f64 (-.f64 1 x) (.f64 (-.f64 3 x) (/.f64 1/3 y)))
	6.4b	(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y)
▶	0.1b	(/.f64 (-.f64 1 x) (*.f64 y (/.f64 3 (-.f64 3 x))))
✓	0.1b	(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))

Compiler

Compiled 3545 to 2118 computations (40.3% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 3 (-.f64 3 x))
✓	0.1b	(*.f64 y (/.f64 3 (-.f64 3 x)))
✓	0.1b	(/.f64 (-.f64 1 x) (*.f64 y (/.f64 3 (-.f64 3 x))))

series23.0ms (0.9%)

Counts

3 → 60

Calls

3 calls:

12.0ms	(/.f64 (-.f64 1 x) (*.f64 y (/.f64 3 (-.f64 3 x))))
9.0ms	(*.f64 y (/.f64 3 (-.f64 3 x)))
2.0ms	(/.f64 3 (-.f64 3 x))

rewrite98.0ms (3.7%)

Algorithm

2×	batch-egg-rewrite

Rules

329×	`prod-diff_binary64`
209×	`expm1-udef_binary64`
208×	`log1p-udef_binary64`
172×	`log-pow_binary64`
165×	`egg-rr`

Counts

3 → 165

Calls

3 calls:

92.0ms	(/.f64 3 (-.f64 3 x))
92.0ms	(*.f64 y (/.f64 3 (-.f64 3 x)))
92.0ms	(/.f64 (-.f64 1 x) (*.f64 y (/.f64 3 (-.f64 3 x))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	33
1	230	33
2	3216	33
3	4917	33
0	0	0
1	0	0

simplify68.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

461×	`fma-neg_binary64`
371×	`fma-def_binary64`
326×	`cancel-sign-sub-inv_binary64`
222×	`associate-/l*_binary64`
207×	`distribute-rgt-in_binary64`

Counts

225 → 206

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	98	1051
1	283	1003
2	777	852
3	2252	813
4	4552	813
5	4976	813

prune172.0ms (6.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	206	0	206
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	206	4	210

Error

Counts

210 → 4

Alt Table

Status	Error	Program
▶	0.4b	(.f64 (-.f64 1 x) (.f64 (-.f64 3 x) (/.f64 1/3 y)))
	6.4b	(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y)
✓	0.1b	(/.f64 (-.f64 1 x) (*.f64 y (/.f64 3 (-.f64 3 x))))
✓	0.1b	(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))

Compiler

Compiled 6730 to 4755 computations (29.3% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (-.f64 1 x) (.f64 (-.f64 3 x) (/.f64 1/3 y)))
✓	0.3b	(*.f64 (-.f64 3 x) (/.f64 1/3 y))
✓	0.3b	(/.f64 1/3 y)

series20.0ms (0.8%)

Counts

3 → 48

Calls

3 calls:

12.0ms	(.f64 (-.f64 1 x) (.f64 (-.f64 3 x) (/.f64 1/3 y)))
7.0ms	(*.f64 (-.f64 3 x) (/.f64 1/3 y))
1.0ms	(/.f64 1/3 y)

rewrite95.0ms (3.6%)

Algorithm

2×	batch-egg-rewrite

Rules

269×	`prod-diff_binary64`
214×	`expm1-udef_binary64`
213×	`log1p-udef_binary64`
179×	`fma-def_binary64`
174×	`log-pow_binary64`

Counts

3 → 140

Calls

3 calls:

91.0ms	(.f64 (-.f64 1 x) (.f64 (-.f64 3 x) (/.f64 1/3 y)))
91.0ms	(*.f64 (-.f64 3 x) (/.f64 1/3 y))
91.0ms	(/.f64 1/3 y)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	30
1	243	30
2	3076	30
3	4897	30
4	5021	30
0	0	0
1	0	0

simplify96.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

547×	`sub-neg_binary64`
474×	`distribute-rgt-in_binary64`
459×	`cancel-sign-sub-inv_binary64`
408×	`fma-neg_binary64`
394×	`distribute-lft-in_binary64`

Counts

188 → 160

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	44	717
1	123	685
2	258	521
3	648	474
4	1826	464
5	4030	464
6	4264	464
7	4577	464
8	4893	464

prune103.0ms (3.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	160	0	160
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	160	4	164

Error

Counts

164 → 4

Alt Table

Status	Error	Program
✓	0.4b	(.f64 (-.f64 1 x) (.f64 (-.f64 3 x) (/.f64 1/3 y)))
	6.4b	(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y)
✓	0.1b	(/.f64 (-.f64 1 x) (*.f64 y (/.f64 3 (-.f64 3 x))))
✓	0.1b	(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))

Compiler

Compiled 2670 to 1898 computations (28.9% saved)

regimes236.0ms (8.9%)

Accuracy

Total 0.1b remaining (88.1%)

Threshold costs 0.1b (88.1%)

Counts

52 → 1

Compiler

Compiled 3270 to 2478 computations (24.2% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	16	16
2	21	16
3	23	16
4	24	16
5	23	16

end84.0ms (3.2%)

Compiler: Compiled 76 to 58 computations (23.7% saved)

Details

analyze143.0ms (5.4%)

sample871.0ms (32.9%)

simplify78.0ms (2.9%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

series13.0ms (0.5%)

rewrite70.0ms (2.6%)

simplify57.0ms (2.2%)

prune102.0ms (3.9%)

localize6.0ms (0.2%)

series20.0ms (0.7%)

rewrite78.0ms (2.9%)

simplify70.0ms (2.6%)

prune114.0ms (4.3%)

localize6.0ms (0.2%)

series23.0ms (0.9%)

rewrite98.0ms (3.7%)

simplify68.0ms (2.6%)

prune172.0ms (6.5%)

localize7.0ms (0.3%)

series20.0ms (0.8%)

rewrite95.0ms (3.6%)

simplify96.0ms (3.6%)

prune103.0ms (3.9%)

regimes236.0ms (8.9%)

simplify5.0ms (0.2%)

end84.0ms (3.2%)

Profiling