Details

analyze1.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

Compiler

Compiled 8 to 6 computations (25% saved)

sample799.0ms (48.2%)

Symmetry

(sort x y)

Results

764.0ms

8256×

body

128

valid

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify6.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	7	7

Stop Event

1×

saturated

Counts

1 → 1

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.0b	(/.f64 (+.f64 x y) 10)

Compiler

Compiled 21 to 15 computations (28.6% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 x y) 10)

series3.0ms (0.2%)

Counts

1 → 24

Calls

1 calls:

3.0ms

(/.f64 (+.f64 x y) 10)

rewrite40.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

701×	`log1p-expm1-u_binary64`
701×	`expm1-log1p-u_binary64`
464×	`prod-diff_binary64`
70×	`add-sqr-sqrt_binary64`
67×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	138	7
2	1852	7

Stop Event

1×	node limit

Counts

1 → 25

Calls

1 calls:

40.0ms

(/.f64 (+.f64 x y) 10)

simplify9.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
3×	`*-commutative_binary64`
2×	`+-commutative_binary64`
1×	`distribute-lft-out_binary64`
1×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	150
1	13	150
2	19	150

Stop Event

1×

saturated

Counts

49 → 29

prune16.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	27	2	29
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	3	30

Error

0.0b

Counts

30 → 3

Alt Table

Status	Error	Program
▶	0.2b	(pow.f64 (/.f64 10 (+.f64 x y)) -1)
✓	0.0b	(/.f64 (+.f64 x y) 10)
	33.3b	(.f64 (sqrt.f64 (+.f64 x y)) (.f64 (sqrt.f64 (+.f64 x y)) 1/10))

Compiler

Compiled 284 to 169 computations (40.5% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 10 (+.f64 x y))
✓	0.2b	(pow.f64 (/.f64 10 (+.f64 x y)) -1)

series57.0ms (3.4%)

Counts

2 → 48

Calls

2 calls:

49.0ms	(pow.f64 (/.f64 10 (+.f64 x y)) -1)
8.0ms	(/.f64 10 (+.f64 x y))

rewrite55.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

848×	`log1p-expm1-u_binary64`
848×	`expm1-log1p-u_binary64`
464×	`prod-diff_binary64`
89×	`add-sqr-sqrt_binary64`
85×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	179	14
2	2320	14

Stop Event

1×	node limit

Counts

2 → 56

Calls

2 calls:

54.0ms	(/.f64 10 (+.f64 x y))
54.0ms	(pow.f64 (/.f64 10 (+.f64 x y)) -1)

simplify32.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

680×	`cancel-sign-sub-inv_binary64`
638×	`fma-def_binary64`
408×	`fma-neg_binary64`
218×	`associate-/l/_binary64`
174×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	702
1	147	678
2	466	648
3	1795	594

Stop Event

1×	node limit

Counts

104 → 74

prune44.0ms (2.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	73	4	77

Error

Counts

77 → 4

Alt Table

Status	Error	Program
✓	0.2b	(pow.f64 (/.f64 10 (+.f64 x y)) -1)
✓	0.0b	(/.f64 (+.f64 x y) 10)
	33.3b	(.f64 (sqrt.f64 (+.f64 x y)) (.f64 (sqrt.f64 (+.f64 x y)) 1/10))
▶	28.3b	(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (*.f64 10 (-.f64 x y)))

Compiler

Compiled 946 to 596 computations (37% saved)

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 10 (-.f64 x y))
✓	2.9b	(-.f64 (.f64 x x) (.f64 y y))
✓	26.6b	(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (*.f64 10 (-.f64 x y)))

series18.0ms (1.1%)

Counts

3 → 72

Calls

3 calls:

8.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (*.f64 10 (-.f64 x y)))
7.0ms	(-.f64 (.f64 x x) (.f64 y y))
3.0ms	(*.f64 10 (-.f64 x y))

rewrite73.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

560×	`fma-def_binary64`
249×	`egg-rr`
247×	`fma-neg_binary64`
210×	`expm1-udef_binary64`
210×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	238	24
2	3643	24

Stop Event

1×	node limit

Counts

3 → 249

Calls

3 calls:

68.0ms	(*.f64 10 (-.f64 x y))
68.0ms	(-.f64 (.f64 x x) (.f64 y y))
68.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (*.f64 10 (-.f64 x y)))

simplify47.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

861×	`fma-neg_binary64`
312×	`distribute-rgt-in_binary64`
290×	`distribute-lft-in_binary64`
286×	`*-commutative_binary64`
285×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	510
1	46	510
2	86	510
3	177	510
4	494	510
5	1801	510
6	4415	510

Stop Event

1×	node limit

Counts

321 → 265

prune111.0ms (6.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	265	0	265
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	265	4	269

Error

Counts

269 → 4

Alt Table

Status	Error	Program
✓	0.2b	(pow.f64 (/.f64 10 (+.f64 x y)) -1)
✓	0.0b	(/.f64 (+.f64 x y) 10)
▶	33.3b	(.f64 (sqrt.f64 (+.f64 x y)) (.f64 (sqrt.f64 (+.f64 x y)) 1/10))
✓	28.3b	(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (*.f64 10 (-.f64 x y)))

Compiler

Compiled 5784 to 1970 computations (65.9% saved)

localize10.0ms (0.6%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (sqrt.f64 (+.f64 x y)) 1/10)
✓	0.2b	(.f64 (sqrt.f64 (+.f64 x y)) (.f64 (sqrt.f64 (+.f64 x y)) 1/10))

series24.0ms (1.4%)

Counts

2 → 32

Calls

2 calls:

20.0ms	(*.f64 (sqrt.f64 (+.f64 x y)) 1/10)
4.0ms	(.f64 (sqrt.f64 (+.f64 x y)) (.f64 (sqrt.f64 (+.f64 x y)) 1/10))

rewrite43.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

807×	`log1p-expm1-u_binary64`
807×	`expm1-log1p-u_binary64`
455×	`prod-diff_binary64`
84×	`add-sqr-sqrt_binary64`
80×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	171	16
2	2182	16

Stop Event

1×	node limit

Counts

2 → 30

Calls

2 calls:

43.0ms	(*.f64 (sqrt.f64 (+.f64 x y)) 1/10)
43.0ms	(.f64 (sqrt.f64 (+.f64 x y)) (.f64 (sqrt.f64 (+.f64 x y)) 1/10))

simplify38.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

875×	`fma-def_binary64`
866×	`fma-neg_binary64`
547×	`associate-l_binary64`
430×	`associate-r_binary64`
224×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	57	386
1	151	380
2	409	376
3	1252	369
4	4410	367

Stop Event

1×	node limit

Counts

62 → 48

prune20.0ms (1.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	48	4	52

Error

Counts

52 → 4

Alt Table

Status	Error	Program
✓	0.2b	(pow.f64 (/.f64 10 (+.f64 x y)) -1)
✓	0.0b	(/.f64 (+.f64 x y) 10)
✓	33.3b	(.f64 (sqrt.f64 (+.f64 x y)) (.f64 (sqrt.f64 (+.f64 x y)) 1/10))
✓	28.3b	(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (*.f64 10 (-.f64 x y)))

Compiler

Compiled 776 to 455 computations (41.4% saved)

regimes121.0ms (7.3%)

Accuracy

Total 0.0b remaining (46.9%)

Threshold costs 0.0b (46.9%)

Counts

32 → 1

Compiler

Compiled 1272 to 952 computations (25.2% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	7	7

Stop Event

1×

saturated

end71.0ms (4.3%)

Remove: (sort x y)
Compiler: Compiled 72 to 48 computations (33.3% saved)

Details

analyze1.0ms (0.1%)

sample799.0ms (48.2%)

simplify6.0ms (0.4%)

prune2.0ms (0.1%)

localize5.0ms (0.3%)

series3.0ms (0.2%)

rewrite40.0ms (2.4%)

simplify9.0ms (0.5%)

prune16.0ms (1%)

localize4.0ms (0.3%)

series57.0ms (3.4%)

rewrite55.0ms (3.3%)

simplify32.0ms (1.9%)

prune44.0ms (2.6%)

localize7.0ms (0.4%)

series18.0ms (1.1%)

rewrite73.0ms (4.4%)

simplify47.0ms (2.8%)

prune111.0ms (6.7%)

localize10.0ms (0.6%)

series24.0ms (1.4%)

rewrite43.0ms (2.6%)

simplify38.0ms (2.3%)

prune20.0ms (1.2%)

regimes121.0ms (7.3%)

simplify2.0ms (0.1%)

end71.0ms (4.3%)

Profiling