Details

sample11.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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` `expm1-log1p-u` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

1 → 15

Calls

1 calls:

1.0ms

(sqrt (fabs (- x y)))

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

(sqrt (fabs (- x y)))

simplify96.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 7 (27.0ms)

Iter	Nodes	Cost
0	28	72
1	32	70
2	35	70
3	40	70
4	59	70
5	113	70
6	540	70
7	1779	69
8	5002	69

prune34.0ms

Filtered

18 candidates to 12 candidates (66.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	17	1	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	2	19

Merged error: 0.0b

Counts

19 → 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)))))
0.6b	(cbrt (fabs (- x y)))
0.6b	(cbrt (fabs (- x y)))

rewrite12.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 74

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)))

series173.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(sqrt (cbrt (fabs (- x y))))
53.0ms	(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
39.0ms	(cbrt (fabs (- x y)))
42.0ms	(cbrt (fabs (- x y)))

simplify142.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 3 (35.0ms)

Iter	Nodes	Cost
0	119	642
1	392	599
2	1147	592
3	4948	585
4	5001	585

prune231.0ms

Filtered

86 candidates to 60 candidates (69.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	86	2	88

Merged error: 0b

Counts

88 → 2

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

55×	`cbrt-prod`
43×	`add-sqr-sqrt`
26×	`sqrt-prod`
21×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1` `swap-sqr`
9×	`pow1/3` `associate-r` `associate-l` `unswap-sqr`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 103

Calls

4 calls:

8.0ms	(* (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (fabs (- x y)))))
2.0ms	(cbrt (fabs (- x y)))
3.0ms	(cbrt (sqrt (fabs (- x y))))
3.0ms	(cbrt (sqrt (fabs (- x y))))

series183.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (fabs (- x y)))))
42.0ms	(cbrt (fabs (- x y)))
49.0ms	(cbrt (sqrt (fabs (- x y))))
44.0ms	(cbrt (sqrt (fabs (- x y))))

simplify128.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 3 (36.0ms)

Iter	Nodes	Cost
0	116	1063
1	378	995
2	1300	925
3	3895	832
4	5001	832

prune243.0ms

Filtered

115 candidates to 69 candidates (60.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	115	2	117

Merged error: 0b

Counts

117 → 2

regimes73.0ms

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

sample249.0ms

Algorithm

intervals

Results

127.0ms

8000×

body

valid