Details

analyze3.0ms

Algorithm: search

sample22.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	3
1	8	3
2	8	3

prune8.0ms

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

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(sqrt (fabs (- x y)))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `sqrt-prod`
2×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
1×	`add-exp-log` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `add-cbrt-cube` `add-log-exp`

Counts

1 → 13

Calls

1 calls:

1.0ms

(sqrt (fabs (- x y)))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(sqrt (fabs (- x y)))

simplify94.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 7 (25.0ms)

Iter	Nodes	Cost
0	26	64
1	30	62
2	33	62
3	38	62
4	57	62
5	111	62
6	538	62
7	1770	61
8	5001	61

prune19.0ms

Filtered

10 candidates to 16 candidates (-60.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	14	2	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	3	17

Merged error: 0b

Counts

17 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
14×	`cbrt-prod` `sqrt-prod`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`associate-r`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`pow1/3` `associate-l` `unswap-sqr`
2×	`rem-sqrt-square` `sqrt-pow1`
1×	`pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 66

Calls

4 calls:

2.0ms	(sqrt (cbrt (fabs (- x y))))
5.0ms	(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
1.0ms	(cbrt (fabs (- x y)))
1.0ms	(cbrt (fabs (- x y)))

series53.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(sqrt (cbrt (fabs (- x y))))
17.0ms	(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
14.0ms	(cbrt (fabs (- x y)))
11.0ms	(cbrt (fabs (- x y)))

simplify140.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (33.0ms)

Iter	Nodes	Cost
0	113	596
1	386	553
2	1141	546
3	4941	539
4	5001	539

prune60.0ms

Filtered

52 candidates to 78 candidates (-50.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	78	3	81

Merged error: 0b

Counts

81 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (fabs (- x y)))))
0.6b	(cbrt (sqrt (fabs (- x y))))
0.6b	(cbrt (sqrt (fabs (- x y))))
0.6b	(cbrt (sqrt (fabs (- x y))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

58×	`cbrt-prod`
44×	`add-sqr-sqrt`
29×	`sqrt-prod`
22×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1` `swap-sqr`
9×	`pow1/3` `associate-r` `associate-l` `unswap-sqr`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

7.0ms	(* (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (fabs (- x y)))))
2.0ms	(cbrt (sqrt (fabs (- x y))))
1.0ms	(cbrt (sqrt (fabs (- x y))))
2.0ms	(cbrt (sqrt (fabs (- x y))))

series47.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(* (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (fabs (- x y)))))
11.0ms	(cbrt (sqrt (fabs (- x y))))
13.0ms	(cbrt (sqrt (fabs (- x y))))
11.0ms	(cbrt (sqrt (fabs (- x y))))

simplify104.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 4 (94.0ms)

Iter	Nodes	Cost
0	103	1061
1	349	990
2	1209	919
3	3167	890
4	5001	859

prune65.0ms

Filtered

62 candidates to 110 candidates (-77.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	110	3	113

Merged error: 0b

Counts

113 → 3

regimes199.0ms

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	3

end0.0ms

analyze1.0ms

Algorithm: search

sample277.0ms

Algorithm

intervals

Results

167.0ms

8000×

body

valid

Details

analyze3.0ms

sample22.0ms

simplify6.0ms

prune8.0ms

localize4.0ms

rewrite2.0ms

series5.0ms

simplify94.0ms

prune19.0ms

localize8.0ms

rewrite10.0ms

series53.0ms

simplify140.0ms

prune60.0ms

localize8.0ms

rewrite14.0ms

series47.0ms

simplify104.0ms

prune65.0ms

regimes199.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze1.0ms

sample277.0ms

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