Details

sample40.0ms

Algorithm

intervals

Results

12.0ms	31×	body	1280	valid
9.0ms	183×	body	80	valid
6.0ms	26×	body	640	valid
2.0ms	12×	body	320	valid
0.0ms	4×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	5
1	20	5
2	22	5
3	22	5

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

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (sin y))
0.0b	(+ (+ x (sin y)) (* z (cos y)))
0.1b	(* z (cos y))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
10×	`add-log-exp`
7×	`add-sqr-sqrt` `distribute-lft-out`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube`
4×	`sum-log`
3×	`+-commutative` `associate-r`
2×	`associate-+l+` `flip3-+` `flip-+`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 48

Calls

3 calls:

3.0ms	(+ x (sin y))
10.0ms	(+ (+ x (sin y)) (* z (cos y)))
4.0ms	(* z (cos y))

series112.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(+ x (sin y))
40.0ms	(+ (+ x (sin y)) (* z (cos y)))
42.0ms	(* z (cos y))

simplify66.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	193	267
1	682	251
2	2442	251
3	5001	251

prune98.0ms

Filtered

57 candidates to 39 candidates (68.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	53	4	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	5	58

Merged error: 0.0b

Counts

58 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.5b	(cbrt z)
0.5b	(cbrt z)
0.5b	(cbrt z)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

5.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series759.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(* (cbrt z) (cbrt z))
187.0ms	(cbrt z)
181.0ms	(cbrt z)
185.0ms	(cbrt z)

simplify90.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	124	311
1	521	267
2	3234	241
3	5002	238

prune195.0ms

Filtered

88 candidates to 64 candidates (72.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	85	3	88
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	87	6	93

Merged error: 0.0b

Counts

93 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt z)
0.6b	(cbrt (cbrt z))
0.6b	(cbrt (cbrt z))
0.6b	(cbrt (cbrt z))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 53

Calls

4 calls:

1.0ms	(cbrt z)
2.0ms	(cbrt (cbrt z))
2.0ms	(cbrt (cbrt z))
2.0ms	(cbrt (cbrt z))

series919.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(cbrt z)
245.0ms	(cbrt (cbrt z))
248.0ms	(cbrt (cbrt z))
240.0ms	(cbrt (cbrt z))

simplify47.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	71	261
1	141	243
2	357	235
3	1368	235
4	5001	235

prune220.0ms

Filtered

65 candidates to 62 candidates (95.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	65	6	71

Merged error: 0.0b

Counts

71 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ x (sin y)) (* z (cos y)))) (cbrt (+ (+ x (sin y)) (* z (cos y)))))
0.6b	(cbrt (+ (+ x (sin y)) (* z (cos y))))
0.6b	(cbrt (+ (+ x (sin y)) (* z (cos y))))
0.6b	(cbrt (+ (+ x (sin y)) (* z (cos y))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

173×	`*-un-lft-identity`
93×	`cbrt-prod`
90×	`distribute-lft-out`
40×	`associate-l`
30×	`swap-sqr`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`associate-r`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cbrt-cube`
6×	`add-exp-log`
4×	`frac-times` `cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 134

Calls

4 calls:

21.0ms	(* (cbrt (+ (+ x (sin y)) (* z (cos y)))) (cbrt (+ (+ x (sin y)) (* z (cos y)))))
8.0ms	(cbrt (+ (+ x (sin y)) (* z (cos y))))
8.0ms	(cbrt (+ (+ x (sin y)) (* z (cos y))))
8.0ms	(cbrt (+ (+ x (sin y)) (* z (cos y))))

series863.0ms

Counts

4 → 12

Calls

4 calls:

362.0ms	(* (cbrt (+ (+ x (sin y)) (* z (cos y)))) (cbrt (+ (+ x (sin y)) (* z (cos y)))))
171.0ms	(cbrt (+ (+ x (sin y)) (* z (cos y))))
167.0ms	(cbrt (+ (+ x (sin y)) (* z (cos y))))
162.0ms	(cbrt (+ (+ x (sin y)) (* z (cos y))))

simplify71.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	363	2181
1	1430	2047
2	5001	1696

prune320.0ms

Filtered

146 candidates to 75 candidates (51.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	145	1	146
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	145	7	152

Merged error: 0b

Counts

152 → 7

regimes131.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample1.2s

Algorithm

intervals

Results

399.0ms	979×	body	1280	valid
291.0ms	5626×	body	80	valid
205.0ms	788×	body	640	valid
75.0ms	414×	body	320	valid
22.0ms	193×	body	160	valid