Details

sample231.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 49.221802%

Guaranteed chance to sample good point: 97.698179%

Results

5.0ms	256×	body	80	valid
0.0ms	1×	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

prune3.0ms

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

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))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(sqrt (+ x y))

simplify40.0ms

Algorithm

egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 3 (37.0ms)

Iter	Nodes	Cost
0	115	87
1	340	85
2	1306	85
3	5002	83

prune25.0ms

Filtered

14 candidates to 19 candidates (-35.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	17	2	19
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	3	20

Merged error: 0b

Counts

20 → 3

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ x y))
0.2b	(sqrt (sqrt (+ x y)))
0.2b	(sqrt (sqrt (+ x y)))
0.6b	(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

rewrite34.0ms

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

series52.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(sqrt (+ x y))
20.0ms	(sqrt (sqrt (+ x y)))
20.0ms	(sqrt (sqrt (+ x y)))
6.0ms	(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

simplify58.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	341	850
1	1379	788
2	5001	759

prune100.0ms

Filtered

79 candidates to 160 candidates (-102.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	160	0	160
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	160	3	163

Merged error: 0b

Counts

163 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.2b	(sqrt (cbrt (+ x y)))
0.3b	(* (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))))
0.5b	(cbrt (+ x y))
0.5b	(cbrt (+ x y))

rewrite21.0ms

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×	`flip3-+` `sqrt-div` `flip-+` `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 → 78

Calls

4 calls:

4.0ms	(sqrt (cbrt (+ x y)))
9.0ms	(* (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))))
3.0ms	(cbrt (+ x y))
3.0ms	(cbrt (+ x y))

series146.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(sqrt (cbrt (+ x y)))
53.0ms	(* (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))))
30.0ms	(cbrt (+ x y))
30.0ms	(cbrt (+ x y))

simplify104.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 3 (96.0ms)

Iter	Nodes	Cost
0	341	694
1	1023	662
2	4044	631
3	5002	611

prune97.0ms

Filtered

71 candidates to 90 candidates (-26.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	90	3	93

Merged error: 0b

Counts

93 → 3

regimes151.0ms

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

sample592.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 49.221802%

Guaranteed chance to sample good point: 97.698179%

Results

172.0ms	8000×	body	80	valid
5.0ms	122×	body	80	nan

Details

sample231.0ms

simplify3.0ms

prune3.0ms

localize3.0ms

rewrite3.0ms

series6.0ms

simplify40.0ms

prune25.0ms

localize6.0ms

rewrite34.0ms

series52.0ms

simplify58.0ms

prune100.0ms

localize7.0ms

rewrite21.0ms

series146.0ms

simplify104.0ms

prune97.0ms

regimes151.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample592.0ms

Profiling