Details

sample18.0ms

Algorithm

intervals

Results

4.0ms	256×	body	80	valid
4.0ms	267×	body	80	nan

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	2
1	5	2

prune1.0ms

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))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 16

Calls

1 calls:

3.0ms

(sqrt (+ x y))

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

(sqrt (+ x y))

simplify71.0ms

Algorithm

egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 3 (22.0ms)

Iter	Nodes	Cost
0	113	89
1	275	81
2	836	78
3	2361	73
4	5002	73

prune27.0ms

Filtered

19 candidates to 14 candidates (73.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	18	1	19
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	2	20

Merged error: 0.0b

Counts

20 → 2

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))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

110×	`sqrt-prod`
56×	`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×	`frac-times` `add-log-exp`
2×	`associate-r/` `associate-l/`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 148

Calls

4 calls:

3.0ms	(sqrt (+ x y))
4.0ms	(sqrt (sqrt (+ x y)))
4.0ms	(sqrt (sqrt (+ x y)))
15.0ms	(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

series468.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(sqrt (+ x y))
195.0ms	(sqrt (sqrt (+ x y)))
193.0ms	(sqrt (sqrt (+ x y)))
39.0ms	(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

simplify50.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	329	840
1	1353	762
2	5002	746

prune207.0ms

Filtered

160 candidates to 80 candidates (50.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	159	1	160
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	159	3	162

Merged error: 0b

Counts

162 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x y)) (cbrt (+ x y)))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

10.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
3.0ms	(cbrt (+ x y))
3.0ms	(cbrt (+ x y))
3.0ms	(cbrt (+ x y))

series534.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
122.0ms	(cbrt (+ x y))
126.0ms	(cbrt (+ x y))
123.0ms	(cbrt (+ x y))

simplify136.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (128.0ms)

Iter	Nodes	Cost
0	246	671
1	881	634
2	4190	584
3	5001	580

prune309.0ms

Filtered

107 candidates to 75 candidates (70.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	107	3	110

Merged error: 0b

Counts

110 → 3

regimes65.0ms

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

sample466.0ms

Algorithm

intervals

Results

117.0ms	8000×	body	80	valid
101.0ms	8086×	body	80	nan