Details

analyze1.0s (25.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
18.7%	81.1%	0.2%	10
26.5%	71.5%	1.9%	11
28.8%	66%	5.2%	12
32.7%	58.7%	8.5%	13
41.9%	48.4%	9.7%	14

Compiler

Compiled 20 to 13 computations (35% saved)

sample1.6s (37.3%)

Results

1.1s	7999×	body	128	valid
231.0ms	1971×	body	128	invalid
44.0ms	121×	body	1024	valid
26.0ms	83×	body	512	valid
10.0ms	53×	body	256	valid

Compiler

Compiled 59 to 38 computations (35.6% saved)

simplify18.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

594×	`fma-def_binary64`
317×	`associate-+l+_binary64`
210×	`associate-+r+_binary64`
79×	`distribute-rgt-in_binary64`
73×	`distribute-lft-in_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	20
1	32	17
2	87	15
3	232	15
4	484	15
5	761	15
6	922	15
7	936	15
8	916	15

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.1b	(fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))

Compiler

Compiled 60 to 37 computations (38.3% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))

series22.0ms (0.5%)

Counts

1 → 48

Calls

1 calls:

22.0ms

(fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))

rewrite100.0ms (2.4%)

Algorithm

2×	batch-egg-rewrite

Rules

640×	`prod-diff_binary64`
462×	`fma-udef_binary64`
242×	`fma-def_binary64`
210×	`expm1-udef_binary64`
210×	`log1p-udef_binary64`

Counts

1 → 31

Calls

1 calls:

99.0ms

(fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	15
1	231	15
2	2725	15
3	4756	15
4	4750	15
5	5085	15
0	0	0
1	0	0

simplify31.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

191×	`fma-def_binary64`
26×	`+-commutative_binary64`
24×	`associate-+l+_binary64`
22×	`associate-+r+_binary64`
21×	`*-commutative_binary64`

Counts

79 → 49

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	30	910
1	75	753
2	147	676
3	248	638
4	282	638
5	290	638
6	289	638

prune84.0ms (2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	47	2	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	3	50

Error

0.0b

Counts

50 → 3

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))
▶	0.0b	(fma.f64 5 y (*.f64 x (fma.f64 2 (+.f64 y z) t)))
	0.1b	(+.f64 (.f64 2 (.f64 y x)) (+.f64 (.f64 t x) (+.f64 (.f64 5 y) (.f64 2 (.f64 z x)))))

Compiler

Compiled 801 to 456 computations (43.1% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (fma.f64 2 (+.f64 y z) t))
✓	0.0b	(fma.f64 5 y (*.f64 x (fma.f64 2 (+.f64 y z) t)))

series132.0ms (3.2%)

Counts

2 → 96

Calls

2 calls:

116.0ms	(fma.f64 5 y (*.f64 x (fma.f64 2 (+.f64 y z) t)))
17.0ms	(*.f64 x (fma.f64 2 (+.f64 y z) t))

rewrite102.0ms (2.4%)

Algorithm

2×	batch-egg-rewrite

Rules

635×	`prod-diff_binary64`
482×	`fma-udef_binary64`
244×	`fma-def_binary64`
210×	`expm1-udef_binary64`
210×	`log1p-udef_binary64`

Counts

2 → 44

Calls

2 calls:

101.0ms	(*.f64 x (fma.f64 2 (+.f64 y z) t))
101.0ms	(fma.f64 5 y (*.f64 x (fma.f64 2 (+.f64 y z) t)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	26
1	231	26
2	2735	26
3	4785	26
4	4779	26
5	4907	26
0	0	0
1	0	0

simplify39.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

179×	`fma-def_binary64`
20×	`+-commutative_binary64`
19×	`associate-+r+_binary64`
17×	`*-commutative_binary64`
16×	`associate-+l+_binary64`

Counts

140 → 70

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	1521
1	92	1282
2	163	1129
3	272	1129
4	290	1129
5	289	1129

prune100.0ms (2.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	70	3	73

Error

Counts

73 → 3

Alt Table

Status	Error	Program
	0.0b	(fma.f64 5 y (+.f64 (.f64 2 (.f64 y x)) (+.f64 (.f64 t x) (.f64 2 (*.f64 z x)))))
✓	0.1b	(fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))
▶	0.0b	(fma.f64 5 y (fma.f64 x (.f64 2 (+.f64 y z)) (.f64 x t)))

Compiler

Compiled 1035 to 581 computations (43.9% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x (.f64 2 (+.f64 y z)) (.f64 x t))
✓	0.0b	(fma.f64 5 y (fma.f64 x (.f64 2 (+.f64 y z)) (.f64 x t)))

series56.0ms (1.3%)

Counts

2 → 96

Calls

2 calls:

39.0ms	(fma.f64 5 y (fma.f64 x (.f64 2 (+.f64 y z)) (.f64 x t)))
17.0ms	(fma.f64 x (.f64 2 (+.f64 y z)) (.f64 x t))

rewrite55.0ms (1.3%)

Algorithm

2×	batch-egg-rewrite

Rules

800×	`prod-diff_binary64`
232×	`log1p-udef_binary64`
131×	`add-sqr-sqrt_binary64`
124×	`log1p-expm1-u_binary64`
124×	`expm1-log1p-u_binary64`

Counts

2 → 49

Calls

2 calls:

53.0ms	(fma.f64 x (.f64 2 (+.f64 y z)) (.f64 x t))
53.0ms	(fma.f64 5 y (fma.f64 x (.f64 2 (+.f64 y z)) (.f64 x t)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	32
1	257	30
2	3081	30
3	5003	30
0	0	0
1	0	0

simplify42.0ms (1%)

Algorithm

1×	egg-herbie

Rules

184×	`fma-def_binary64`
24×	`+-commutative_binary64`
21×	`associate-+l+_binary64`
20×	`associate-+r+_binary64`
19×	`*-commutative_binary64`

Counts

145 → 74

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	1527
1	86	1282
2	171	1206
3	266	1129
4	286	1129
5	290	1129
6	289	1129

prune49.0ms (1.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	74	3	77

Error

Counts

77 → 3

Alt Table

Status	Error	Program
▶	0.0b	(fma.f64 5 y (+.f64 (.f64 2 (.f64 y x)) (+.f64 (.f64 t x) (.f64 2 (*.f64 z x)))))
✓	0.1b	(fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))
✓	0.0b	(fma.f64 5 y (fma.f64 x (.f64 2 (+.f64 y z)) (.f64 x t)))

Compiler

Compiled 1222 to 694 computations (43.2% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 2 (.f64 z x))
✓	0.0b	(+.f64 (.f64 t x) (.f64 2 (*.f64 z x)))
✓	0.0b	(.f64 2 (.f64 y x))
✓	0.0b	(fma.f64 5 y (+.f64 (.f64 2 (.f64 y x)) (+.f64 (.f64 t x) (.f64 2 (*.f64 z x)))))

series42.0ms (1%)

Counts

4 → 66

Calls

4 calls:

22.0ms	(fma.f64 5 y (+.f64 (.f64 2 (.f64 y x)) (+.f64 (.f64 t x) (.f64 2 (*.f64 z x)))))
9.0ms	(+.f64 (.f64 t x) (.f64 2 (*.f64 z x)))
5.0ms	(.f64 2 (.f64 y x))
5.0ms	(.f64 2 (.f64 z x))

rewrite80.0ms (1.9%)

Algorithm

2×	batch-egg-rewrite

Rules

298×	`expm1-udef_binary64`
298×	`log1p-udef_binary64`
165×	`add-sqr-sqrt_binary64`
157×	`log1p-expm1-u_binary64`
157×	`expm1-log1p-u_binary64`

Counts

4 → 97

Calls

4 calls:

78.0ms	(.f64 2 (.f64 z x))
78.0ms	(+.f64 (.f64 t x) (.f64 2 (*.f64 z x)))
78.0ms	(.f64 2 (.f64 y x))
78.0ms	(fma.f64 5 y (+.f64 (.f64 2 (.f64 y x)) (+.f64 (.f64 t x) (.f64 2 (*.f64 z x)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	47
1	328	45
2	4201	45
3	5016	45
0	0	0
1	0	0

simplify33.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

185×	`fma-def_binary64`
26×	`+-commutative_binary64`
22×	`associate-+l+_binary64`
21×	`*-commutative_binary64`
20×	`associate-+r+_binary64`

Counts

163 → 115

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	1075
1	77	882
2	145	805
3	250	767
4	282	767
5	290	767
6	289	767

prune96.0ms (2.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	115	3	118

Error

Counts

118 → 3

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 5 y (+.f64 (.f64 2 (.f64 y x)) (+.f64 (.f64 t x) (.f64 2 (*.f64 z x)))))
✓	0.1b	(fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))
✓	0.0b	(fma.f64 5 y (fma.f64 x (.f64 2 (+.f64 y z)) (.f64 x t)))

Compiler

Compiled 2426 to 1358 computations (44% saved)

regimes373.0ms (8.9%)

Accuracy

Total 0.0b remaining (74%)

Threshold costs 0.0b (74%)

Counts

75 → 1

Compiler

Compiled 6183 to 4376 computations (29.2% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	24
1	19	24
2	19	24

end68.0ms (1.6%)

Compiler: Compiled 96 to 64 computations (33.3% saved)

Details

analyze1.0s (25.1%)

sample1.6s (37.3%)

simplify18.0ms (0.4%)

prune3.0ms (0.1%)

localize7.0ms (0.2%)

series22.0ms (0.5%)

rewrite100.0ms (2.4%)

simplify31.0ms (0.7%)

prune84.0ms (2%)

localize8.0ms (0.2%)

series132.0ms (3.2%)

rewrite102.0ms (2.4%)

simplify39.0ms (0.9%)

prune100.0ms (2.4%)

localize10.0ms (0.2%)

series56.0ms (1.3%)

rewrite55.0ms (1.3%)

simplify42.0ms (1%)

prune49.0ms (1.2%)

localize11.0ms (0.3%)

series42.0ms (1%)

rewrite80.0ms (1.9%)

simplify33.0ms (0.8%)

prune96.0ms (2.3%)

regimes373.0ms (8.9%)

simplify2.0ms (0.1%)

end68.0ms (1.6%)

Profiling