Details

sample18.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

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)))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(sqrt (fabs (- x y)))

simplify93.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 7 (26.0ms)

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

prune17.0ms

Filtered

10 candidates to 16 candidates (-60.0%)

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:

0.1b	(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)))

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))))
5.0ms	(* (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:

12.0ms	(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)))

simplify147.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (37.0ms)

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

prune64.0ms

Filtered

52 candidates to 78 candidates (-50.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	78	2	80

Merged error: 0.0b

Counts

80 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fabs (- x y)))
0.5b	(cbrt (fabs (- x y)))
0.5b	(cbrt (cbrt (fabs (- x y))))
0.5b	(cbrt (cbrt (fabs (- x y))))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 50

Calls

4 calls:

1.0ms	(cbrt (fabs (- x y)))
1.0ms	(cbrt (fabs (- x y)))
2.0ms	(cbrt (cbrt (fabs (- x y))))
2.0ms	(cbrt (cbrt (fabs (- x y))))

series48.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(cbrt (fabs (- x y)))
11.0ms	(cbrt (fabs (- x y)))
14.0ms	(cbrt (cbrt (fabs (- x y))))
12.0ms	(cbrt (cbrt (fabs (- x y))))

simplify155.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	45	384
1	81	352
2	176	344
3	657	344
4	4519	344
5	5002	344

prune70.0ms

Filtered

49 candidates to 62 candidates (-26.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	61	1	62
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	61	3	64

Merged error: 0b

Counts

64 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fabs (- x y)))
0.5b	(cbrt (fabs (- x y)))
0.5b	(cbrt (cbrt (fabs (- x y))))
3.6b	(pow (cbrt (fabs (- x y))) 1/3)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow`
1×	`pow-to-exp` `unpow1/3` `pow-exp` `sqr-pow`

Counts

4 → 58

Calls

4 calls:

1.0ms	(cbrt (fabs (- x y)))
1.0ms	(cbrt (fabs (- x y)))
1.0ms	(cbrt (cbrt (fabs (- x y))))
3.0ms	(pow (cbrt (fabs (- x y))) 1/3)

series59.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(cbrt (fabs (- x y)))
11.0ms	(cbrt (fabs (- x y)))
11.0ms	(cbrt (cbrt (fabs (- x y))))
25.0ms	(pow (cbrt (fabs (- x y))) 1/3)

simplify51.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	106	392
1	308	348
2	1077	336
3	5002	336

prune92.0ms

Filtered

50 candidates to 70 candidates (-40.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	70	3	73

Merged error: 0b

Counts

73 → 3

regimes232.0ms

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

sample381.0ms

Algorithm

intervals

Results

177.0ms

8000×

body

valid

Details

sample18.0ms

simplify4.0ms

prune3.0ms

localize4.0ms

rewrite2.0ms

series5.0ms

simplify93.0ms

prune17.0ms

localize8.0ms

rewrite11.0ms

series54.0ms

simplify147.0ms

prune64.0ms

localize12.0ms

rewrite7.0ms

series48.0ms

simplify155.0ms

prune70.0ms

localize16.0ms

rewrite7.0ms

series59.0ms

simplify51.0ms

prune92.0ms

regimes232.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample381.0ms

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