Details

analyze429.0ms (18%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
34.3%	63.2%	2.5%	9
40.6%	52.7%	6.8%	10
48.4%	42.1%	9.5%	11
56.2%	32.5%	11.4%	12
59.1%	26.9%	14%	13
63.9%	21%	15.1%	14

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample858.0ms (36.1%)

Results

786.0ms	8256×	body	128	valid
56.0ms	587×	body	128	invalid

Compiler

Compiled 22 to 14 computations (36.4% saved)

preprocess23.0ms (1%)

Algorithm

2×	egg-herbie

Rules

188×	`fma-def_binary64`
26×	`+-commutative_binary64`
22×	`distribute-rgt-in_binary64`
18×	`*-commutative_binary64`
16×	`associate-+r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	40
1	42	32
2	130	32
3	183	32
4	202	32
5	228	32
6	252	32
7	324	32
8	397	32
9	416	32
10	420	32
0	3	3

Stop Event

1×	saturated
1×	saturated

Compiler

Compiled 10 to 6 computations (40% saved)

simplify9.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

66×	`fma-def_binary64`
8×	`+-commutative_binary64`
8×	`associate-r_binary64`
8×	`associate-l_binary64`
6×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	16	8
2	35	8
3	50	8
4	59	8
5	66	8
6	72	8
7	91	8
8	107	8
9	121	8
10	139	8
11	146	8
12	147	8

Stop Event

1×

saturated

Counts

1 → 2

prune4.0ms (0.2%)

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

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(fma.f64 y (+.f64 x z) x)

Compiler

Compiled 34 to 18 computations (47.1% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series7.0ms (0.3%)

Counts

1 → 36

Calls

9 calls:

1.0ms	(fma.f64 y (+.f64 x z) x)	x	-inf
1.0ms	(fma.f64 y (+.f64 x z) x)	y	inf
1.0ms	(fma.f64 y (+.f64 x z) x)	x	inf
1.0ms	(fma.f64 y (+.f64 x z) x)	z	inf
1.0ms	(fma.f64 y (+.f64 x z) x)	y	-inf

rewrite38.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

677×	`log1p-expm1-u_binary64`
677×	`expm1-log1p-u_binary64`
519×	`prod-diff_binary64`
68×	`add-sqr-sqrt_binary64`
64×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	129	8
2	1767	8

Stop Event

1×	node limit

Counts

1 → 23

simplify19.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

66×	`fma-def_binary64`
8×	`associate-r_binary64`
8×	`associate-l_binary64`
6×	`*-commutative_binary64`
5×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	285
1	33	285
2	49	258
3	61	258
4	80	258
5	96	258
6	110	258
7	128	258
8	135	258
9	136	258

Stop Event

1×

saturated

Counts

59 → 32

prune17.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	31	1	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	2	33

Error

Counts

33 → 2

Alt Table

Status	Error	Program
▶	30.5b	(pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) x)) 2)
✓	0.0b	(fma.f64 y (+.f64 x z) x)

Compiler

Compiled 341 to 103 computations (69.8% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 y (+.f64 x z) x)
✓	0.0b	(sqrt.f64 (fma.f64 y (+.f64 x z) x))
✓	0.3b	(pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) x)) 2)

series709.0ms (29.8%)

Counts

2 → 24

Calls

18 calls:

234.0ms	(pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) x)) 2)	x	0
220.0ms	(pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) x)) 2)	y	0
31.0ms	(pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) x)) 2)	x	-inf
30.0ms	(pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) x)) 2)	y	-inf
30.0ms	(pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) x)) 2)	x	inf

rewrite48.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

812×	`log1p-expm1-u_binary64`
812×	`expm1-log1p-u_binary64`
519×	`prod-diff_binary64`
86×	`add-sqr-sqrt_binary64`
82×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	193	18
2	2204	18

Stop Event

1×	node limit

Counts

2 → 47

simplify33.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

501×	`associate-+l+_binary64`
437×	`cancel-sign-sub-inv_binary64`
385×	`associate--l+_binary64`
360×	`associate-+r+_binary64`
170×	`associate--r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	144	869
1	429	847
2	1601	802

Stop Event

1×	node limit

Counts

71 → 75

prune53.0ms (2.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	107	2	109

Error

Counts

109 → 2

Alt Table

Status	Error	Program
✓	30.5b	(pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) x)) 2)
✓	0.0b	(fma.f64 y (+.f64 x z) x)

Compiler

Compiled 2151 to 1022 computations (52.5% saved)

regimes75.0ms (3.2%)

Accuracy

Total -0.0b remaining (-21.1%)

Threshold costs -0.0b (-21.1%)

Counts

19 → 1

Compiler

Compiled 768 to 494 computations (35.7% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9

Stop Event

1×

saturated

end39.0ms (1.7%)

Stop Event

1×

done

Compiler

Compiled 41 to 23 computations (43.9% saved)

Iter	Nodes	Cost
0	16	40
1	42	32
2	130	32
3	183	32
4	202	32
5	228	32
6	252	32
7	324	32
8	397	32
9	416	32
10	420	32
0	3	3

Iter	Nodes	Cost
0	7	10
1	16	8
2	35	8
3	50	8
4	59	8
5	66	8
6	72	8
7	91	8
8	107	8
9	121	8
10	139	8
11	146	8
12	147	8

Iter	Nodes	Cost
0	14	285
1	33	285
2	49	258
3	61	258
4	80	258
5	96	258
6	110	258
7	128	258
8	135	258
9	136	258

Iter	Nodes	Cost
0	16	40
1	42	32
2	130	32
3	183	32
4	202	32
5	228	32
6	252	32
7	324	32
8	397	32
9	416	32
10	420	32
0	3	3

Iter	Nodes	Cost
0	7	10
1	16	8
2	35	8
3	50	8
4	59	8
5	66	8
6	72	8
7	91	8
8	107	8
9	121	8
10	139	8
11	146	8
12	147	8

Iter	Nodes	Cost
0	14	285
1	33	285
2	49	258
3	61	258
4	80	258
5	96	258
6	110	258
7	128	258
8	135	258
9	136	258

Details

analyze429.0ms (18%)

sample858.0ms (36.1%)

preprocess23.0ms (1%)

simplify9.0ms (0.4%)

prune4.0ms (0.2%)

localize4.0ms (0.2%)

series7.0ms (0.3%)

rewrite38.0ms (1.6%)

simplify19.0ms (0.8%)

prune17.0ms (0.7%)

localize7.0ms (0.3%)

series709.0ms (29.8%)

rewrite48.0ms (2%)

simplify33.0ms (1.4%)

prune53.0ms (2.2%)

regimes75.0ms (3.2%)

simplify2.0ms (0.1%)

end39.0ms (1.7%)

Profiling

Iter	Nodes	Cost
0	16	40
1	42	32
2	130	32
3	183	32
4	202	32
5	228	32
6	252	32
7	324	32
8	397	32
9	416	32
10	420	32
0	3	3

Iter	Nodes	Cost
0	7	10
1	16	8
2	35	8
3	50	8
4	59	8
5	66	8
6	72	8
7	91	8
8	107	8
9	121	8
10	139	8
11	146	8
12	147	8

Iter	Nodes	Cost
0	14	285
1	33	285
2	49	258
3	61	258
4	80	258
5	96	258
6	110	258
7	128	258
8	135	258
9	136	258