Details

sample57.0ms

Algorithm

intervals

Results

25.0ms	58×	body	1280	valid
10.0ms	39×	body	640	valid
8.0ms	138×	body	80	valid
2.0ms	14×	body	320	valid
1.0ms	7×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

rewrite14.0ms

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

series150.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(+ (* x (cos y)) (* z (sin y)))
37.0ms	(* x (cos y))
44.0ms	(* z (sin y))

simplify75.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	183	248
1	698	227
2	2213	227
3	5001	227

prune147.0ms

Filtered

56 candidates to 39 candidates (69.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	45	11	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	11	57

Merged error: 0.0b

Counts

57 → 11

localize15.0ms

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))

rewrite14.0ms

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

series472.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
115.0ms	(cbrt (sin y))
114.0ms	(cbrt (sin y))
109.0ms	(cbrt (sin y))

simplify106.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (99.0ms)

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

prune283.0ms

Filtered

85 candidates to 60 candidates (70.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	81	4	85
Fresh	2	8	10
Picked	1	0	1
Done	0	0	0
Total	84	12	96

Merged error: 0.0b

Counts

96 → 12

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.7b	(cbrt (* (cbrt (sin y)) (cbrt (sin y))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 42

Calls

4 calls:

2.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))
5.0ms	(cbrt (* (cbrt (sin y)) (cbrt (sin y))))

series477.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(cbrt (sin y))
113.0ms	(cbrt (sin y))
114.0ms	(cbrt (sin y))
137.0ms	(cbrt (* (cbrt (sin y)) (cbrt (sin y))))

simplify128.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 4 (123.0ms)

Iter	Nodes	Cost
0	111	274
1	241	246
2	762	235
3	2830	235
4	5002	232

prune236.0ms

Filtered

54 candidates to 44 candidates (81.5%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	53	1	54
Fresh	1	10	11
Picked	0	1	1
Done	0	0	0
Total	54	12	66

Merged error: 0.0b

Counts

66 → 12

localize15.0ms

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)

rewrite17.0ms

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:

11.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
2.0ms	(cbrt z)

series832.0ms

Counts

4 → 12

Calls

4 calls:

221.0ms	(* (cbrt z) (cbrt z))
211.0ms	(cbrt z)
201.0ms	(cbrt z)
199.0ms	(cbrt z)

simplify103.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune243.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	85	12	97

Merged error: 0.0b

Counts

97 → 12

regimes172.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

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

677.0ms	1518×	body	1280	valid
363.0ms	1256×	body	640	valid
254.0ms	4328×	body	80	valid
113.0ms	609×	body	320	valid
38.0ms	289×	body	160	valid