Details

analyze3.0ms (0.2%)

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)

sample751.0ms (45.6%)

Symmetry

(sort x y)

Results

706.0ms

8256×

body

128

valid

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune6.0ms (0.4%)

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)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series4.0ms (0.2%)

Counts

1 → 24

Calls

1 calls:

4.0ms

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

rewrite5.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64`
12×	`times-frac_binary64`
10×	`add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64`
4×	`associate-/l*_binary64`

Counts

1 → 35

Calls

1 calls:

4.0ms

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

simplify79.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

713×	`fma-def_binary64`
628×	`distribute-rgt-in_binary64`
573×	`distribute-lft-in_binary64`
358×	`associate-/l/_binary64`
316×	`neg-mul-1_binary64`

Counts

59 → 59

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	69	625
1	141	595
2	303	595
3	628	595
4	1522	595
5	3732	595
6	4835	595
7	5061	595

prune38.0ms (2.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	57	2	59
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	57	3	60

Error

Counts

60 → 3

Alt Table

Status	Error	Program
▶	0.4b	(*.f64 (/.f64 1 (sqrt.f64 10)) (/.f64 (+.f64 x y) (sqrt.f64 10)))
	0.4b	(+.f64 (.f64 1/10 y) (.f64 1/10 x))
✓	0.0b	(/.f64 (+.f64 x y) 10)

Compiler

Compiled 734 to 395 computations (46.2% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (/.f64 1 (sqrt.f64 10)) (/.f64 (+.f64 x y) (sqrt.f64 10)))
✓	0.4b	(/.f64 (+.f64 x y) (sqrt.f64 10))

series51.0ms (3.1%)

Counts

2 → 48

Calls

2 calls:

40.0ms	(*.f64 (/.f64 1 (sqrt.f64 10)) (/.f64 (+.f64 x y) (sqrt.f64 10)))
10.0ms	(/.f64 (+.f64 x y) (sqrt.f64 10))

rewrite81.0ms (4.9%)

Algorithm

1×	rewrite-expression-head

Rules

93×	`add-sqr-sqrt_binary64`
88×	`times-frac_binary64`
79×	`*-un-lft-identity_binary64`
47×	`sqrt-prod_binary64`
47×	`add-cube-cbrt_binary64`

Counts

2 → 141

Calls

2 calls:

53.0ms	(/.f64 (+.f64 x y) (sqrt.f64 10))
15.0ms	(*.f64 (/.f64 1 (sqrt.f64 10)) (/.f64 (+.f64 x y) (sqrt.f64 10)))

simplify146.0ms (8.9%)

Algorithm

1×	egg-herbie

Rules

570×	`fma-def_binary64`
508×	`times-frac_binary64`
435×	`associate-/l*_binary64`
378×	`associate-*l/_binary64`
351×	`distribute-rgt-in_binary64`

Counts

189 → 189

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	143	3244
1	359	2659
2	1213	2659
3	3625	2603
4	4677	2603
5	4980	2603
6	4931	2603

prune112.0ms (6.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	189	0	189
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	189	3	192

Error

Counts

192 → 3

Alt Table

Status	Error	Program
✓	0.4b	(*.f64 (/.f64 1 (sqrt.f64 10)) (/.f64 (+.f64 x y) (sqrt.f64 10)))
▶	0.4b	(+.f64 (.f64 1/10 y) (.f64 1/10 x))
✓	0.0b	(/.f64 (+.f64 x y) 10)

Compiler

Compiled 3565 to 2556 computations (28.3% saved)

localize4.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 1/10 y) (.f64 1/10 x))
✓	0.3b	(*.f64 1/10 x)
✓	0.4b	(*.f64 1/10 y)

series7.0ms (0.4%)

Counts

3 → 6

Calls

3 calls:

4.0ms	(+.f64 (.f64 1/10 y) (.f64 1/10 x))
2.0ms	(*.f64 1/10 y)
1.0ms	(*.f64 1/10 x)

rewrite15.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64`
7×	`add-cube-cbrt_binary64`
7×	`add-cbrt-cube_binary64`
7×	`add-exp-log_binary64`

Counts

3 → 55

Calls

3 calls:

7.0ms	(*.f64 1/10 x)
3.0ms	(+.f64 (.f64 1/10 y) (.f64 1/10 x))
3.0ms	(*.f64 1/10 y)

simplify82.0ms (5%)

Algorithm

1×	egg-herbie

Rules

745×	`unsub-neg_binary64`
525×	`distribute-rgt-out_binary64`
285×	`distribute-rgt-in_binary64`
260×	`fma-neg_binary64`
254×	`*-commutative_binary64`

Counts

61 → 69

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	80	469
1	189	443
2	474	440
3	1226	440
4	2444	439
5	3594	439
6	4371	439
7	5236	439

prune38.0ms (2.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	69	3	72

Error

Counts

72 → 3

Alt Table

Status	Error	Program
✓	0.4b	(*.f64 (/.f64 1 (sqrt.f64 10)) (/.f64 (+.f64 x y) (sqrt.f64 10)))
✓	0.4b	(+.f64 (.f64 1/10 y) (.f64 1/10 x))
✓	0.0b	(/.f64 (+.f64 x y) 10)

Compiler

Compiled 840 to 618 computations (26.4% saved)

regimes114.0ms (7%)

Accuracy

Total 0.0b remaining (78.9%)

Threshold costs 0.0b (78.9%)

Counts

15 → 1

Compiler

Compiled 548 to 404 computations (26.3% saved)

simplify5.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

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

end89.0ms (5.4%)

Remove: (sort x y)
Compiler: Compiled 57 to 43 computations (24.6% saved)

Details

analyze3.0ms (0.2%)

sample751.0ms (45.6%)

simplify6.0ms (0.3%)

prune6.0ms (0.4%)

localize3.0ms (0.2%)

series4.0ms (0.2%)

rewrite5.0ms (0.3%)

simplify79.0ms (4.8%)

prune38.0ms (2.3%)

localize6.0ms (0.4%)

series51.0ms (3.1%)

rewrite81.0ms (4.9%)

simplify146.0ms (8.9%)

prune112.0ms (6.8%)

localize4.0ms (0.3%)

series7.0ms (0.4%)

rewrite15.0ms (0.9%)

simplify82.0ms (5%)

prune38.0ms (2.3%)

regimes114.0ms (7%)

simplify5.0ms (0.3%)

end89.0ms (5.4%)

Profiling