Details

sample23.0ms

Algorithm

intervals

Results

6.0ms	325×	body	80	nan
5.0ms	256×	body	80	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	2
1	5	2

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(sqrt (+ x y))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
4×	`*-un-lft-identity` `sqrt-prod`
2×	`pow1` `add-cube-cbrt` `sqrt-div`
1×	`add-exp-log` `expm1-log1p-u` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `add-cbrt-cube` `flip-+` `hypot-def` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

1 → 19

Calls

1 calls:

3.0ms

(sqrt (+ x y))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(sqrt (+ x y))

simplify71.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 3 (25.0ms)

Iter	Nodes	Cost
0	122	95
1	303	86
2	969	83
3	2877	78
4	5002	78

prune33.0ms

Filtered

22 candidates to 17 candidates (77.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	20	2	22
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	3	23

Merged error: 0b

Counts

23 → 3

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ x y))
0.1b	(sqrt (sqrt (+ x y)))
0.1b	(sqrt (sqrt (+ x y)))
0.5b	(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

110×	`sqrt-prod`
58×	`add-sqr-sqrt`
41×	`*-un-lft-identity` `sqrt-pow1`
34×	`sqrt-div`
32×	`pow1`
21×	`add-cube-cbrt` `pow1/2`
18×	`swap-sqr`
10×	`associate-r` `associate-l`
9×	`flip3-+` `pow-prod-up` `flip-+` `distribute-lft-out` `unswap-sqr`
6×	`add-exp-log` `add-cbrt-cube`
5×	`rem-sqrt-square` `pow-prod-down` `pow-sqr`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `add-log-exp`
2×	`associate-r/` `associate-l/`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `hypot-def`

Counts

4 → 157

Calls

4 calls:

3.0ms	(sqrt (+ x y))
4.0ms	(sqrt (sqrt (+ x y)))
4.0ms	(sqrt (sqrt (+ x y)))
17.0ms	(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

series433.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(sqrt (+ x y))
181.0ms	(sqrt (sqrt (+ x y)))
185.0ms	(sqrt (sqrt (+ x y)))
33.0ms	(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

simplify56.0ms

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	345	868
1	1430	786
2	5002	772

prune210.0ms

Filtered

169 candidates to 89 candidates (52.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	169	0	169
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	169	3	172

Merged error: 0b

Counts

172 → 3

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(hypot (sqrt x) (sqrt y))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `hypot-udef` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(hypot (sqrt x) (sqrt y))

series215.0ms

Counts

1 → 3

Calls

1 calls:

215.0ms

(hypot (sqrt x) (sqrt y))

simplify54.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	119	80
1	397	66
2	2042	62
3	5001	62

prune29.0ms

Filtered

13 candidates to 13 candidates (100.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

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

Merged error: 0b

Counts

16 → 3

regimes56.0ms

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	5	2
1	5	2

end0.0ms

sample575.0ms

Algorithm

intervals

Results

165.0ms	8000×	body	80	valid
156.0ms	8019×	body	80	nan