Details

analyze223.0ms

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

sample26.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify435.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

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

localize20.0ms

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)

series12.0ms

Counts

1 → 3

Calls

1 calls:

12.0ms

(- (* x x) y)

simplify49.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4808	111
1	4808	111

prune23.0ms

Filtered

11 candidates to 15 candidates (-36.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	13	2	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	3	16

Merged error: 0b

Counts

16 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
22×	`sqrt-prod`
18×	`pow1`
12×	`sqrt-div`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`swap-sqr`
8×	`flip3--` `sqrt-pow1` `pow1/2` `flip--`
7×	`associate-r` `associate-l` `add-log-exp`
6×	`difference-of-squares`
5×	`add-exp-log` `pow-prod-up` `add-cbrt-cube`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`sub-neg` `diff-log` `associate-r/` `associate-l/`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

3 → 84

Calls

3 calls:

4.0ms	(- (* x x) y)
4.0ms	(- (* x x) y)
13.0ms	(* (sqrt (- (* x x) y)) (sqrt (- (* x x) y)))

series11.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify50.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5220	762

prune70.0ms

Filtered

48 candidates to 93 candidates (-93.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	93	3	96

Merged error: 0b

Counts

96 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 44

Calls

2 calls:

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

series16.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify60.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4919	475
1	4919	475

prune48.0ms

Filtered

38 candidates to 50 candidates (-31.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	50	3	53

Merged error: 0b

Counts

53 → 3

regimes179.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample606.0ms

Algorithm

intervals

Results

148.0ms

8000×

body

valid

Details

analyze223.0ms

sample26.0ms

simplify435.0ms

prune4.0ms

localize20.0ms

rewrite8.0ms

series12.0ms

simplify49.0ms

prune23.0ms

localize7.0ms

rewrite24.0ms

series11.0ms

simplify50.0ms

prune70.0ms

localize7.0ms

rewrite15.0ms

series16.0ms

simplify60.0ms

prune48.0ms

regimes179.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample606.0ms

Profiling