Details

sample17.0ms

Algorithm

intervals

Results

4.0ms	256×	body	80	valid
3.0ms	265×	body	80	nan

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

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(sqrt (+ x y))

rewrite5.0ms

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:

4.0ms

(sqrt (+ x y))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(sqrt (+ x y))

simplify69.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 3 (24.0ms)

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

prune42.0ms

Filtered

22 candidates to 17 candidates (77.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (cbrt (+ x y)))
0.3b	(* (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
18×	`cbrt-prod`
16×	`sqrt-prod`
12×	`add-cube-cbrt`
10×	`associate-r`
8×	`cbrt-div`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `flip3-+` `sqrt-div` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
3×	`pow1/3` `associate-l` `unswap-sqr`
2×	`rem-sqrt-square` `sqrt-pow1` `associate-*r/`
1×	`pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 86

Calls

4 calls:

5.0ms	(sqrt (cbrt (+ x y)))
13.0ms	(* (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))))
2.0ms	(cbrt (+ x y))
3.0ms	(cbrt (+ x y))

series603.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(sqrt (cbrt (+ x y)))
198.0ms	(* (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))))
129.0ms	(cbrt (+ x y))
128.0ms	(cbrt (+ x y))

simplify111.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	325	657
1	1094	622
2	4451	614
3	5001	614

prune246.0ms

Filtered

98 candidates to 81 candidates (82.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

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:

0.0ms

(hypot (sqrt x) (sqrt y))

series191.0ms

Counts

1 → 3

Calls

1 calls:

191.0ms

(hypot (sqrt x) (sqrt y))

simplify56.0ms

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

prune31.0ms

Filtered

13 candidates to 13 candidates (100.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes62.0ms

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

sample469.0ms

Algorithm

intervals

Results

125.0ms	8000×	body	80	valid
103.0ms	7943×	body	80	nan