Details

analyze166.0ms (9%)

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
12.5%	87.4%	0.1%	5
18.7%	81.2%	0.1%	6
46.8%	53.1%	0.1%	7
54.6%	45.3%	0.1%	8
71%	28.9%	0.1%	9
76.1%	23.8%	0.1%	10
84.9%	15%	0.1%	11
87.7%	12.2%	0.1%	12
92.2%	7.7%	0.1%	13
93.7%	6.2%	0.1%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample725.0ms (39.4%)

Results

713.0ms	8255×	body	128	valid
0.0ms	1×	body	1024	valid

Compiler

Compiled 20 to 14 computations (30% saved)

preprocess38.0ms (2.1%)

Algorithm

2×	egg-herbie

Rules

868×	`fma-neg_binary64`
664×	`div-sub_binary64`
422×	`times-frac_binary64`
246×	`distribute-rgt-in_binary64`
196×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	24	20
2	37	20
3	64	20
4	131	20
5	264	20
6	537	20
7	1557	20
8	3448	20
9	4724	20
0	2	2

Stop Event

1×	saturated
1×	node limit

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify40.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

538×	`fma-neg_binary64`
369×	`fma-def_binary64`
316×	`div-sub_binary64`
272×	`times-frac_binary64`
116×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	15	10
2	22	10
3	37	10
4	70	10
5	120	10
6	227	10
7	446	10
8	1068	10
9	2198	10
10	2833	10
11	3116	10
12	3126	10
13	3126	10

Stop Event

1×

saturated

Counts

1 → 2

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

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))

Compiler

Compiled 34 to 22 computations (35.3% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series8.0ms (0.4%)

Counts

1 → 24

Calls

6 calls:

2.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))	x	-inf
2.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))	x	inf
1.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))	x	0
1.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))	y	-inf
1.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))	y	0

rewrite98.0ms (5.3%)

Algorithm

1×	batch-egg-rewrite

Rules

725×	`prod-diff_binary64`
238×	`fma-def_binary64`
221×	`egg-rr`
150×	`expm1-udef_binary64`
149×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	161	10
2	2406	10

Stop Event

1×	node limit

Counts

1 → 221

simplify30.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

493×	`+-commutative_binary64`
479×	`associate-+l-_binary64`
438×	`cancel-sign-sub-inv_binary64`
410×	`fma-neg_binary64`
350×	`associate--r+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	419
1	140	413
2	452	406
3	1890	396

Stop Event

1×	node limit

Counts

245 → 238

prune227.0ms (12.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	236	2	238
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	237	2	239

Error

Counts

239 → 2

Alt Table

Status	Error	Program
	32.1b	(+.f64 x (*.f64 (fma.f64 y y y) (+.f64 -1 x)))
▶	0.0b	(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))

Compiler

Compiled 10779 to 7262 computations (32.6% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series11.0ms (0.6%)

Counts

2 → 24

Calls

9 calls:

2.0ms	(/.f64 x (-.f64 1 y))	x	-inf
2.0ms	(/.f64 x (-.f64 1 y))	x	inf
2.0ms	(/.f64 x (-.f64 1 y))	x	0
1.0ms	(/.f64 x (-.f64 1 y))	y	inf
1.0ms	(/.f64 x (-.f64 1 y))	y	-inf

rewrite43.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

802×	`log1p-expm1-u_binary64`
802×	`expm1-log1p-u_binary64`
168×	`prod-diff_binary64`
76×	`add-sqr-sqrt_binary64`
71×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	152	14
2	2094	14

Stop Event

1×	node limit

Counts

2 → 70

simplify33.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

699×	`fma-def_binary64`
586×	`cancel-sign-sub-inv_binary64`
404×	`sub-neg_binary64`
197×	`associate-+l-_binary64`
169×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	343
1	146	323
2	447	314
3	1311	296
4	3874	296

Stop Event

1×	node limit

Counts

94 → 99

prune56.0ms (3.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	99	2	101

Error

Counts

101 → 2

Alt Table

Status	Error	Program
▶	32.1b	(+.f64 x (*.f64 (fma.f64 y y y) (+.f64 -1 x)))
✓	0.0b	(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))

Compiler

Compiled 1627 to 1086 computations (33.3% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series20.0ms (1.1%)

Counts

2 → 48

Calls

12 calls:

4.0ms	(+.f64 x (*.f64 (fma.f64 y y y) (+.f64 -1 x)))	x	-inf
3.0ms	(*.f64 (fma.f64 y y y) (+.f64 -1 x))	x	-inf
2.0ms	(+.f64 x (*.f64 (fma.f64 y y y) (+.f64 -1 x)))	x	inf
2.0ms	(+.f64 x (*.f64 (fma.f64 y y y) (+.f64 -1 x)))	x	0
2.0ms	(*.f64 (fma.f64 y y y) (+.f64 -1 x))	x	inf

rewrite52.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

432×	`log-prod_binary64`
373×	`fma-def_binary64`
175×	`fma-neg_binary64`
165×	`expm1-udef_binary64`
165×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	25
1	179	23
2	2607	23

Stop Event

1×	node limit

Counts

2 → 121

simplify33.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

907×	`fma-neg_binary64`
476×	`cancel-sign-sub-inv_binary64`
409×	`fma-def_binary64`
405×	`associate-l_binary64`
279×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	815
1	77	564
2	210	534
3	519	504
4	1864	504

Stop Event

1×	node limit

Counts

169 → 138

prune62.0ms (3.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	138	2	140

Error

Counts

140 → 2

Alt Table

Status	Error	Program
✓	32.1b	(+.f64 x (*.f64 (fma.f64 y y y) (+.f64 -1 x)))
✓	0.0b	(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))

Compiler

Compiled 2414 to 930 computations (61.5% saved)

regimes135.0ms (7.3%)

Accuracy

Total 0.0b remaining (45.1%)

Threshold costs 0.0b (45.1%)

Counts

47 → 1

Compiler

Compiled 1646 to 1108 computations (32.7% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	14	16
2	22	16
3	26	16
4	28	16

Stop Event

1×

saturated

end44.0ms (2.4%)

Stop Event

1×

done

Compiler

Compiled 51 to 34 computations (33.3% saved)

Details

analyze166.0ms (9%)

sample725.0ms (39.4%)

preprocess38.0ms (2.1%)

simplify40.0ms (2.2%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

series8.0ms (0.4%)

rewrite98.0ms (5.3%)

simplify30.0ms (1.6%)

prune227.0ms (12.3%)

localize5.0ms (0.3%)

series11.0ms (0.6%)

rewrite43.0ms (2.3%)

simplify33.0ms (1.8%)

prune56.0ms (3.1%)

localize6.0ms (0.3%)

series20.0ms (1.1%)

rewrite52.0ms (2.8%)

simplify33.0ms (1.8%)

prune62.0ms (3.4%)

regimes135.0ms (7.3%)

simplify2.0ms (0.1%)

end44.0ms (2.4%)

Profiling