Details

analyze1.1s (32.2%)

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)

sample1.4s (41.6%)

Results

1.0s	7983×	body	128	valid
236.0ms	1922×	body	128	invalid
61.0ms	128×	body	1024	valid
31.0ms	104×	body	512	valid
10.0ms	41×	body	256	valid

Compiler

Compiled 40 to 26 computations (35% saved)

preprocess78.0ms (2.4%)

Algorithm

2×	egg-herbie

Rules

1624×	`fma-def_binary64`
740×	`associate-+l+_binary64`
585×	`associate-+r+_binary64`
492×	`+-commutative_binary64`
392×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	140
1	170	119
2	552	105
3	1883	105
4	3139	105
5	3197	105
6	3197	105
7	3907	105
8	3907	105
9	3907	105
10	4831	105
11	4871	105
12	4895	105
13	4895	105
0	4	4

Stop Event

1×	saturated
1×	node limit

Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify17.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	20
1	33	17
2	96	15
3	335	15
4	881	15
5	1357	15
6	1531	15
7	1545	15

Stop Event

1×

saturated

Counts

1 → 2

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))

series21.0ms (0.7%)

Counts

1 → 48

Calls

12 calls:

7.0ms	(fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))	z	-inf
1.0ms	(fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))	t	inf
1.0ms	(fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))	t	-inf
1.0ms	(fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))	t	0
1.0ms	(fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))	x	-inf

rewrite41.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

640×	`prod-diff_binary64`
222×	`fma-def_binary64`
210×	`expm1-udef_binary64`
210×	`log1p-udef_binary64`
142×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	15
1	231	15
2	2848	15

Stop Event

1×	node limit

Counts

1 → 23

simplify26.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	30	910
1	80	753
2	170	676
3	302	638
4	362	638
5	375	638

Stop Event

1×

saturated

Counts

71 → 41

prune33.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	3	42

Error

0.0b

Counts

42 → 3

Alt Table

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

Compiler

Compiled 669 to 375 computations (43.9% saved)

localize7.0ms (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)))

series31.0ms (1%)

Counts

2 → 96

Calls

24 calls:

2.0ms	(*.f64 x (fma.f64 2 (+.f64 y z) t))	x	-inf
2.0ms	(fma.f64 5 y (*.f64 x (fma.f64 2 (+.f64 y z) t)))	x	0
2.0ms	(fma.f64 5 y (*.f64 x (fma.f64 2 (+.f64 y z) t)))	x	-inf
1.0ms	(fma.f64 5 y (*.f64 x (fma.f64 2 (+.f64 y z) t)))	t	-inf
1.0ms	(fma.f64 5 y (*.f64 x (fma.f64 2 (+.f64 y z) t)))	t	inf

rewrite48.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

635×	`prod-diff_binary64`
224×	`fma-def_binary64`
210×	`expm1-udef_binary64`
210×	`log1p-udef_binary64`
139×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	26
1	231	26
2	2859	26

Stop Event

1×	node limit

Counts

2 → 42

simplify37.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

179×	`fma-def_binary64`
18×	`+-commutative_binary64`
17×	`*-commutative_binary64`
16×	`associate-+l+_binary64`
15×	`associate-+r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	1521
1	97	1282
2	188	1129
3	299	1129
4	325	1129

Stop Event

1×

saturated

Counts

138 → 68

prune51.0ms (1.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	69	2	71

Error

0.0b

Counts

71 → 2

Alt Table

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

Compiler

Compiled 969 to 541 computations (44.2% saved)

localize8.0ms (0.3%)

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)))

series34.0ms (1%)

Counts

2 → 96

Calls

24 calls:

3.0ms	(fma.f64 5 y (fma.f64 x (.f64 2 (+.f64 y z)) (.f64 x t)))	t	-inf
2.0ms	(fma.f64 5 y (fma.f64 x (.f64 2 (+.f64 y z)) (.f64 x t)))	y	0
2.0ms	(fma.f64 x (.f64 2 (+.f64 y z)) (.f64 x t))	t	0
2.0ms	(fma.f64 x (.f64 2 (+.f64 y z)) (.f64 x t))	x	-inf
1.0ms	(fma.f64 x (.f64 2 (+.f64 y z)) (.f64 x t))	x	inf

rewrite50.0ms (1.5%)

Algorithm

1×	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`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	32
1	257	30
2	3296	30

Stop Event

1×	node limit

Counts

2 → 48

simplify45.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	1527
1	91	1282
2	192	1206
3	319	1129
4	347	1129
5	351	1129

Stop Event

1×

saturated

Counts

144 → 73

prune39.0ms (1.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	73	2	75

Error

0.0b

Counts

75 → 2

Alt Table

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

Compiler

Compiled 1166 to 658 computations (43.6% saved)

regimes228.0ms (7%)

Accuracy

Total 0.0b remaining (25.9%)

Threshold costs 0.0b (25.9%)

Counts

43 → 1

Compiler

Compiled 3033 to 2161 computations (28.8% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	15	18

Stop Event

1×

saturated

end47.0ms (1.5%)

Stop Event

1×

done

Compiler

Compiled 66 to 43 computations (34.8% saved)

Details

analyze1.1s (32.2%)

sample1.4s (41.6%)

preprocess78.0ms (2.4%)

simplify17.0ms (0.5%)

prune3.0ms (0.1%)

localize7.0ms (0.2%)

series21.0ms (0.7%)

rewrite41.0ms (1.3%)

simplify26.0ms (0.8%)

prune33.0ms (1%)

localize7.0ms (0.2%)

series31.0ms (1%)

rewrite48.0ms (1.5%)

simplify37.0ms (1.1%)

prune51.0ms (1.6%)

localize8.0ms (0.3%)

series34.0ms (1%)

rewrite50.0ms (1.5%)

simplify45.0ms (1.4%)

prune39.0ms (1.2%)

regimes228.0ms (7%)

simplify2.0ms (0.1%)

end47.0ms (1.5%)

Profiling