Details

analyze229.0ms

Algorithm

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
50%	50%	0.1%	4
50%	50%	0.1%	5
68.7%	31.2%	0.1%	6
71.8%	28.1%	0.1%	7
73.4%	14%	12.6%	8
74.1%	13.3%	12.6%	9
74.5%	6.6%	18.8%	10
74.7%	6.4%	18.8%	11
74.8%	3.2%	22%	12
74.9%	3.2%	22%	13
74.9%	1.6%	23.5%	14

sample15.0ms

Algorithm

intervals

Results

6.0ms	255×	body	80	valid
0.0ms	7×	body	80	invalid
0.0ms	1×	body	640	valid

simplify448.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	228	7
1	228	7

prune4.0ms

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

Merged error: 0.0b

Counts

2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* x x) y)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
2×	`add-sqr-sqrt`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--` `difference-of-squares`

Counts

1 → 12

Calls

1 calls:

6.0ms

(- (* x x) y)

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

(- (* x x) y)

simplify47.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4808	111
1	4808	111

prune20.0ms

Filtered

11 candidates to 15 candidates (-36.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	14	1	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	2	16

Merged error: 0.0b

Counts

16 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (sqrt y))
0.0b	(- x (sqrt y))
0.2b	(* (+ x (sqrt y)) (- x (sqrt y)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
7×	`add-log-exp`
6×	`associate-r`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`frac-times` `flip3--` `flip3-+` `associate-l` `flip--` `flip-+` `difference-of-squares`
3×	`sub-neg`
2×	`associate-r/` `associate-l/` `sqrt-prod` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `diff-log` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 58

Calls

3 calls:

3.0ms	(+ x (sqrt y))
4.0ms	(- x (sqrt y))
10.0ms	(* (+ x (sqrt y)) (- x (sqrt y)))

series22.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(+ x (sqrt y))
5.0ms	(- x (sqrt y))
12.0ms	(* (+ x (sqrt y)) (- x (sqrt y)))

simplify60.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4944	606
1	4944	606

prune70.0ms

Filtered

53 candidates to 67 candidates (-26.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	66	1	67
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	66	3	69

Merged error: 0b

Counts

69 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ x (sqrt y)))
0.0b	(sqrt (+ x (sqrt y)))
0.1b	(* (- x (sqrt y)) (sqrt (+ x (sqrt y))))
0.1b	(* (sqrt (+ x (sqrt y))) (* (- x (sqrt y)) (sqrt (+ x (sqrt y)))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

46×	`sqrt-div`
32×	`frac-times`
23×	`flip3-+` `flip-+`
21×	`add-sqr-sqrt` `*-un-lft-identity`
18×	`sqrt-prod`
16×	`associate-*r/`
13×	`pow1` `associate-l`
12×	`flip3--` `flip--`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*l/`
8×	`associate-r`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `*-commutative` `difference-of-squares` `unswap-sqr`
1×	`distribute-lft-out--`

Counts

4 → 114

Calls

4 calls:

4.0ms	(sqrt (+ x (sqrt y)))
4.0ms	(sqrt (+ x (sqrt y)))
11.0ms	(* (- x (sqrt y)) (sqrt (+ x (sqrt y))))
16.0ms	(* (sqrt (+ x (sqrt y))) (* (- x (sqrt y)) (sqrt (+ x (sqrt y)))))

series56.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(sqrt (+ x (sqrt y)))
10.0ms	(sqrt (+ x (sqrt y)))
23.0ms	(* (- x (sqrt y)) (sqrt (+ x (sqrt y))))
11.0ms	(* (sqrt (+ x (sqrt y))) (* (- x (sqrt y)) (sqrt (+ x (sqrt y)))))

simplify45.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4971	1874
1	4971	1874

prune118.0ms

Filtered

94 candidates to 126 candidates (-34.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	126	3	129

Merged error: 0b

Counts

129 → 3

regimes177.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample302.0ms

Algorithm

intervals

Results

181.0ms	7996×	body	80	valid
4.0ms	184×	body	80	invalid
0.0ms	2×	body	640	valid
0.0ms	2×	body	320	valid

Details

analyze229.0ms

sample15.0ms

simplify448.0ms

prune4.0ms

localize7.0ms

rewrite8.0ms

series23.0ms

simplify47.0ms

prune20.0ms

localize7.0ms

rewrite19.0ms

series22.0ms

simplify60.0ms

prune70.0ms

localize9.0ms

rewrite39.0ms

series56.0ms

simplify45.0ms

prune118.0ms

regimes177.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample302.0ms

Profiling