Details

sample123.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 27.524442%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results

7.0ms	256×	body	80	valid
0.0ms	3×	body	80	invalid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	3
1	32	3
2	66	3
3	92	3
4	100	3
5	100	3

prune9.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out--`

Counts

1 → 13

Calls

1 calls:

3.0ms

(- (* x x) (* x y))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(- (* x x) (* x y))

simplify44.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	88	77
1	336	65
2	1368	63
3	5001	63

prune18.0ms

Filtered

11 candidates to 16 candidates (-45.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	15	1	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	2	17

Merged error: 0.0b

Counts

17 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* x y))
0.2b	(* (sqrt (- (* x x) (* x y))) (sqrt (- (* x x) (* x y))))
7.5b	(sqrt (- (* x x) (* x y)))
7.5b	(sqrt (- (* x x) (* x y)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

30×	`sqrt-prod`
28×	`add-sqr-sqrt`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3--` `swap-sqr` `flip--`
7×	`associate-r` `associate-l` `distribute-lft-out--`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`pow2` `sub-neg` `pow-plus` `sqrt-unprod` `diff-log` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 105

Calls

4 calls:

3.0ms	(- (* x x) (* x y))
11.0ms	(* (sqrt (- (* x x) (* x y))) (sqrt (- (* x x) (* x y))))
4.0ms	(sqrt (- (* x x) (* x y)))
4.0ms	(sqrt (- (* x x) (* x y)))

series32.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- (* x x) (* x y))
5.0ms	(* (sqrt (- (* x x) (* x y))) (sqrt (- (* x x) (* x y))))
10.0ms	(sqrt (- (* x x) (* x y)))
12.0ms	(sqrt (- (* x x) (* x y)))

simplify47.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	225	751
1	996	680
2	5001	662

prune94.0ms

Filtered

72 candidates to 117 candidates (-62.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	117	2	119

Merged error: 0b

Counts

119 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

7.5b	(sqrt (- (* x x) (* x y)))
7.5b	(sqrt (- (* x x) (* x y)))
7.5b	(sqrt (- (* x x) (* x y)))
7.5b	(sqrt (- (* x x) (* x y)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

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

series38.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(sqrt (- (* x x) (* x y)))
9.0ms	(sqrt (- (* x x) (* x y)))
9.0ms	(sqrt (- (* x x) (* x y)))
9.0ms	(sqrt (- (* x x) (* x y)))

simplify58.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 3 (52.0ms)

Iter	Nodes	Cost
0	132	456
1	444	448
2	1655	448
3	5001	436

prune86.0ms

Filtered

64 candidates to 76 candidates (-18.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	76	2	78

Merged error: 0b

Counts

78 → 2

regimes133.0ms

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	9	4
1	9	4

end0.0ms

sample444.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 27.524442%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results

216.0ms	8000×	body	80	valid
2.0ms	76×	body	80	invalid

Details

sample123.0ms

simplify10.0ms

prune9.0ms

localize5.0ms

rewrite4.0ms

series5.0ms

simplify44.0ms

prune18.0ms

localize8.0ms

rewrite26.0ms

series32.0ms

simplify47.0ms

prune94.0ms

localize15.0ms

rewrite17.0ms

series38.0ms

simplify58.0ms

prune86.0ms

regimes133.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample444.0ms

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