Details

sample55.0ms

Algorithm

intervals

Results

18.0ms	41×	body	1280	valid
11.0ms	36×	body	640	valid
9.0ms	143×	body	80	valid
5.0ms	27×	body	320	valid
1.0ms	9×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	5
1	11	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

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite15.0ms

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×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 47

Calls

3 calls:

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

series174.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(+ (* x (sin y)) (* z (cos y)))
42.0ms	(* x (sin y))
47.0ms	(* z (cos y))

simplify82.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	185	250
1	702	229
2	2218	229
3	5001	229

prune149.0ms

Filtered

56 candidates to 40 candidates (71.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	48	8	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	8	57

Merged error: 0.0b

Counts

57 → 8

localize14.0ms

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))

rewrite13.0ms

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:

7.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series511.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
111.0ms	(cbrt (cos y))
110.0ms	(cbrt (cos y))
114.0ms	(cbrt (cos y))

simplify116.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (109.0ms)

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

prune237.0ms

Filtered

85 candidates to 60 candidates (70.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	86	7	93

Merged error: 0.0b

Counts

93 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
5.0ms	(cbrt (cos y))

series454.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(cbrt (cos y))
113.0ms	(cbrt (cos y))
113.0ms	(cbrt (cos y))
115.0ms	(cbrt (cos y))

simplify117.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 4 (113.0ms)

Iter	Nodes	Cost
0	47	232
1	139	212
2	435	204
3	2152	204
4	5001	200

prune206.0ms

Filtered

56 candidates to 44 candidates (78.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	56	7	63

Merged error: 0.0b

Counts

63 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))

rewrite13.0ms

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 (sin y)) (cbrt (sin y)))
2.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))

series479.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
114.0ms	(cbrt (sin y))
115.0ms	(cbrt (sin y))
119.0ms	(cbrt (sin y))

simplify110.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	154	453
1	551	401
2	3082	369
3	5002	363

prune231.0ms

Filtered

85 candidates to 60 candidates (70.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	84	8	92

Merged error: 0.0b

Counts

92 → 8

regimes114.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	20
1	19	20

end0.0ms

sample1.7s

Algorithm

intervals

Results

682.0ms	1506×	body	1280	valid
371.0ms	1258×	body	640	valid
293.0ms	4263×	body	80	valid
134.0ms	654×	body	320	valid
45.0ms	319×	body	160	valid

Details

sample55.0ms

simplify5.0ms

prune3.0ms

localize10.0ms

rewrite15.0ms

series174.0ms

simplify82.0ms

prune149.0ms

localize14.0ms

rewrite13.0ms

series511.0ms

simplify116.0ms

prune237.0ms

localize18.0ms

rewrite11.0ms

series454.0ms

simplify117.0ms

prune206.0ms

localize14.0ms

rewrite13.0ms

series479.0ms

simplify110.0ms

prune231.0ms

regimes114.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.7s

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