Details

sample24.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	5
1	8	5

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

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)))

series6.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(sqrt (fabs (- x y)))

simplify103.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	4725	96
1	4725	96

prune20.0ms

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: 0.0b

Counts

17 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite11.0ms

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))))
6.0ms	(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
1.0ms	(cbrt (fabs (- x y)))
1.0ms	(cbrt (fabs (- x y)))

series54.0ms

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)))))
12.0ms	(cbrt (fabs (- x y)))
14.0ms	(cbrt (fabs (- x y)))

simplify44.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	6134	780

prune70.0ms

Filtered

55 candidates to 78 candidates (-41.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	78	3	81

Merged error: 0.0b

Counts

81 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fabs (- x y)))
0.3b	(* (fabs (cbrt (fabs (- x y)))) (fabs (cbrt (sqrt (fabs (- x y))))))
0.6b	(cbrt (sqrt (fabs (- x y))))
0.6b	(cbrt (fabs (- x y)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

1.0ms	(sqrt (fabs (- x y)))
3.0ms	(* (fabs (cbrt (fabs (- x y)))) (fabs (cbrt (sqrt (fabs (- x y))))))
2.0ms	(cbrt (sqrt (fabs (- x y))))
1.0ms	(cbrt (fabs (- x y)))

series37.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(sqrt (fabs (- x y)))
8.0ms	(* (fabs (cbrt (fabs (- x y)))) (fabs (cbrt (sqrt (fabs (- x y))))))
11.0ms	(cbrt (sqrt (fabs (- x y))))
13.0ms	(cbrt (fabs (- x y)))

simplify48.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4812	634
1	4812	634

prune63.0ms

Filtered

48 candidates to 68 candidates (-41.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	68	3	71

Merged error: 0.0b

Counts

71 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (fabs (- x y)))
0.5b	(pow (sqrt (fabs (- x y))) 3)
20.3b	(cbrt (pow (sqrt (fabs (- x y))) 3))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
15×	`add-sqr-sqrt` `sqrt-prod`
14×	`add-cube-cbrt` `*-un-lft-identity`
12×	`unpow-prod-down` `cube-prod`
6×	`pow1`
4×	`add-exp-log` `add-cbrt-cube`
3×	`pow-unpow` `pow-pow` `add-log-exp`
2×	`cube-mult` `sqrt-pow1` `pow1/2` `unpow3` `sqr-pow`
1×	`pow-to-exp` `rem-sqrt-square` `pow1/3` `pow-exp` `sqrt-pow2` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 72

Calls

3 calls:

1.0ms	(sqrt (fabs (- x y)))
3.0ms	(pow (sqrt (fabs (- x y))) 3)
3.0ms	(cbrt (pow (sqrt (fabs (- x y))) 3))

series17.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(sqrt (fabs (- x y)))
9.0ms	(pow (sqrt (fabs (- x y))) 3)
4.0ms	(cbrt (pow (sqrt (fabs (- x y))) 3))

simplify49.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5604	607

prune50.0ms

Filtered

36 candidates to 81 candidates (-125.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	81	3	84

Merged error: 0.0b

Counts

84 → 3

regimes194.0ms

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	5
1	5	5

end0.0ms

sample359.0ms

Algorithm

intervals

Results

164.0ms

8000×

body

valid

Details

sample24.0ms

simplify3.0ms

prune3.0ms

localize4.0ms

rewrite2.0ms

series6.0ms

simplify103.0ms

prune20.0ms

localize8.0ms

rewrite11.0ms

series54.0ms

simplify44.0ms

prune70.0ms

localize10.0ms

rewrite8.0ms

series37.0ms

simplify48.0ms

prune63.0ms

localize8.0ms

rewrite9.0ms

series17.0ms

simplify49.0ms

prune50.0ms

regimes194.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample359.0ms

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