Details

sample56.0ms

Algorithm

intervals

Results

22.0ms	49×	body	1280	valid
11.0ms	39×	body	640	valid
9.0ms	145×	body	80	valid
3.0ms	13×	body	320	valid
1.0ms	10×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	5
1	19	5
2	19	5

prune3.0ms

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: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
7×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`associate-r` `associate-l`
5×	`add-log-exp`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 48

Calls

3 calls:

3.0ms	(- (* x (cos y)) (* z (sin y)))
7.0ms	(* x (cos y))
4.0ms	(* z (sin y))

series140.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(- (* x (cos y)) (* z (sin y)))
35.0ms	(* x (cos y))
36.0ms	(* z (sin y))

simplify61.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	174	254
1	636	233
2	2041	233
3	5001	233

prune136.0ms

Filtered

57 candidates to 39 candidates (68.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	45	12	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	12	58

Merged error: 0.0b

Counts

58 → 12

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (cos y)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series453.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
98.0ms	(cbrt (cos y))
97.0ms	(cbrt (cos y))
96.0ms	(cbrt (cos y))

simplify105.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (99.0ms)

Iter	Nodes	Cost
0	122	441
1	481	389
2	3180	357
3	5001	351

prune238.0ms

Filtered

85 candidates to 60 candidates (70.6%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	0	11	11
Picked	1	0	1
Done	0	0	0
Total	84	13	97

Merged error: 0.0b

Counts

97 → 13

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
0.2b	(pow (cos y) 2)
0.3b	(cbrt (pow (cos y) 2))
0.3b	(cbrt (cos y))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`pow1` `add-exp-log`
6×	`unpow-prod-down` `associate-r` `add-cbrt-cube`
4×	`add-log-exp`
3×	`pow-unpow` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3` `unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `associate-l` `pow-exp` `*-commutative`

Counts

4 → 66

Calls

4 calls:

7.0ms	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
2.0ms	(pow (cos y) 2)
2.0ms	(cbrt (pow (cos y) 2))
1.0ms	(cbrt (cos y))

series318.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
22.0ms	(pow (cos y) 2)
162.0ms	(cbrt (pow (cos y) 2))
97.0ms	(cbrt (cos y))

simplify39.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	233	421
1	1070	364
2	5001	345

prune208.0ms

Filtered

78 candidates to 51 candidates (65.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	2	10	12
Picked	0	1	1
Done	0	0	0
Total	79	12	91

Merged error: 0.0b

Counts

91 → 12

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (pow (cbrt (cos y)) 2))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cbrt (cos y)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

29×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
1×	`unpow2` `sqr-pow`

Counts

4 → 55

Calls

4 calls:

3.0ms	(cbrt (pow (cbrt (cos y)) 2))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cbrt (cos y)))

series413.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(cbrt (pow (cbrt (cos y)) 2))
97.0ms	(cbrt (cos y))
97.0ms	(cbrt (cos y))
98.0ms	(cbrt (cbrt (cos y)))

simplify57.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	152	353
1	436	330
2	1430	311
3	5001	311

prune246.0ms

Filtered

67 candidates to 51 candidates (76.1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	66	1	67
Fresh	0	10	10
Picked	1	0	1
Done	0	1	1
Total	67	12	79

Merged error: 0.0b

Counts

79 → 12

regimes150.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	10
1	16	10

end0.0ms

sample1.7s

Algorithm

intervals

Results

706.0ms	1570×	body	1280	valid
347.0ms	1187×	body	640	valid
278.0ms	4326×	body	80	valid
123.0ms	610×	body	320	valid
44.0ms	307×	body	160	valid

Details

sample56.0ms

simplify5.0ms

prune3.0ms

localize9.0ms

rewrite16.0ms

series140.0ms

simplify61.0ms

prune136.0ms

localize16.0ms

rewrite12.0ms

series453.0ms

simplify105.0ms

prune238.0ms

localize15.0ms

rewrite15.0ms

series318.0ms

simplify39.0ms

prune208.0ms

localize25.0ms

rewrite9.0ms

series413.0ms

simplify57.0ms

prune246.0ms

regimes150.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.7s

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