Details

analyze425.0ms (23.5%)

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
25%	74.9%	0.1%	8
34.3%	62.4%	3.3%	9
40.6%	52.3%	7.2%	10
49.1%	42.1%	8.7%	11
56.2%	32.6%	11.3%	12
59.1%	27.1%	13.8%	13
63.7%	21.9%	14.4%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample863.0ms (47.6%)

Results

787.0ms	8256×	body	128	valid
63.0ms	643×	body	128	invalid

Compiler

Compiled 26 to 18 computations (30.8% saved)

preprocess56.0ms (3.1%)

Algorithm

2×	egg-herbie

Rules

768×	`fma-neg_binary64`
441×	`fma-def_binary64`
170×	`cancel-sign-sub-inv_binary64`
131×	`distribute-rgt-in_binary64`
113×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	44
1	44	44
2	88	44
3	152	44
4	338	36
5	681	32
6	1130	32
7	1849	32
8	2463	32
9	2761	32
10	2836	32
11	2837	32
12	2837	32
0	3	3

Stop Event

1×	saturated
1×	saturated

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify19.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

354×	`fma-def_binary64`
246×	`fma-neg_binary64`
53×	`cancel-sign-sub-inv_binary64`
45×	`distribute-rgt-in_binary64`
40×	`sub-neg_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	17	11
2	30	11
3	57	11
4	126	9
5	218	8
6	346	8
7	557	8
8	964	8
9	1146	8
10	1206	8
11	1216	8

Stop Event

1×

saturated

Counts

1 → 2

prune3.0ms (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

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
	0.0b	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
▶	0.0b	(fma.f64 x (-.f64 z y) y)

Compiler

Compiled 60 to 36 computations (40% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series6.0ms (0.4%)

Counts

1 → 36

Calls

9 calls:

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

rewrite39.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

686×	`log1p-expm1-u_binary64`
686×	`expm1-log1p-u_binary64`
423×	`prod-diff_binary64`
69×	`add-sqr-sqrt_binary64`
65×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	130	8
2	1775	8

Stop Event

1×	node limit

Counts

1 → 23

simplify27.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

258×	`fma-neg_binary64`
254×	`fma-def_binary64`
60×	`distribute-rgt-in_binary64`
38×	`cancel-sign-sub-inv_binary64`
36×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	399
1	54	318
2	121	264
3	245	264
4	527	264
5	949	264
6	1131	264
7	1155	264

Stop Event

1×

saturated

Counts

59 → 33

prune16.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	32	1	33
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	32	3	35

Error

0.0b

Counts

35 → 3

Alt Table

Status	Error	Program
▶	0.0b	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
	41.2b	(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 z y) y) 3))
✓	0.0b	(fma.f64 x (-.f64 z y) y)

Compiler

Compiled 375 to 126 computations (66.4% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 1 x) y)
✓	0.0b	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))

series11.0ms (0.6%)

Counts

2 → 48

Calls

15 calls:

1.0ms	(*.f64 (-.f64 1 x) y)	y	-inf
1.0ms	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))	y	-inf
1.0ms	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))	y	inf
1.0ms	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))	z	-inf
1.0ms	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))	x	inf

rewrite48.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

476×	`log-prod_binary64`
382×	`fma-def_binary64`
174×	`expm1-udef_binary64`
173×	`log1p-udef_binary64`
172×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	193	18
2	2590	18

Stop Event

1×	node limit

Counts

2 → 99

simplify28.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

261×	`fma-def_binary64`
257×	`fma-neg_binary64`
59×	`distribute-rgt-in_binary64`
37×	`cancel-sign-sub-inv_binary64`
36×	`associate--r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	475
1	57	394
2	124	340
3	254	340
4	536	340
5	960	340
6	1142	340
7	1166	340

Stop Event

1×

saturated

Counts

147 → 112

prune60.0ms (3.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	113	2	115

Error

Counts

115 → 2

Alt Table

Status	Error	Program
▶	0.0b	(fma.f64 x z (*.f64 (-.f64 1 x) y))
✓	0.0b	(fma.f64 x (-.f64 z y) y)

Compiler

Compiled 1632 to 862 computations (47.2% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x z (*.f64 (-.f64 1 x) y))
	0.0b	(*.f64 (-.f64 1 x) y)

series7.0ms (0.4%)

Counts

1 → 36

Calls

9 calls:

1.0ms	(fma.f64 x z (*.f64 (-.f64 1 x) y))	y	-inf
1.0ms	(fma.f64 x z (*.f64 (-.f64 1 x) y))	x	-inf
1.0ms	(fma.f64 x z (*.f64 (-.f64 1 x) y))	z	-inf
1.0ms	(fma.f64 x z (*.f64 (-.f64 1 x) y))	z	inf
1.0ms	(fma.f64 x z (*.f64 (-.f64 1 x) y))	x	inf

rewrite42.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

760×	`log1p-expm1-u_binary64`
760×	`expm1-log1p-u_binary64`
308×	`prod-diff_binary64`
82×	`add-sqr-sqrt_binary64`
76×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	163	11
2	2001	11

Stop Event

1×	node limit

Counts

1 → 23

simplify25.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

258×	`fma-neg_binary64`
254×	`fma-def_binary64`
60×	`distribute-rgt-in_binary64`
38×	`cancel-sign-sub-inv_binary64`
36×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	399
1	54	318
2	121	264
3	245	264
4	527	264
5	949	264
6	1131	264
7	1155	264

Stop Event

1×

saturated

Counts

59 → 33

prune30.0ms (1.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Error

Counts

69 → 2

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 x z (*.f64 (-.f64 1 x) y))
✓	0.0b	(fma.f64 x (-.f64 z y) y)

Compiler

Compiled 807 to 431 computations (46.6% saved)

regimes55.0ms (3%)

Accuracy

Total 0.0b remaining (90.3%)

Threshold costs 0.0b (90.3%)

Counts

14 → 1

Compiler

Compiled 560 to 370 computations (33.9% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	13	11
2	17	11
3	19	11
4	20	11

Stop Event

1×

saturated

end35.0ms (1.9%)

Stop Event

1×

done

Compiler

Compiled 42 to 26 computations (38.1% saved)

Details

analyze425.0ms (23.5%)

sample863.0ms (47.6%)

preprocess56.0ms (3.1%)

simplify19.0ms (1.1%)

prune3.0ms (0.1%)

localize4.0ms (0.2%)

series6.0ms (0.4%)

rewrite39.0ms (2.1%)

simplify27.0ms (1.5%)

prune16.0ms (0.9%)

localize5.0ms (0.3%)

series11.0ms (0.6%)

rewrite48.0ms (2.6%)

simplify28.0ms (1.5%)

prune60.0ms (3.3%)

localize5.0ms (0.3%)

series7.0ms (0.4%)

rewrite42.0ms (2.3%)

simplify25.0ms (1.4%)

prune30.0ms (1.7%)

regimes55.0ms (3%)

simplify2.0ms (0.1%)

end35.0ms (1.9%)

Profiling