Details

sample52.0ms

Algorithm

intervals

Results

19.0ms	47×	body	1280	valid
11.0ms	44×	body	640	valid
7.0ms	139×	body	80	valid
3.0ms	16×	body	320	valid
1.0ms	10×	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 (100.0%)

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: 0.2b

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))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

13.0ms	(+ (* x (cos y)) (* z (sin y)))
4.0ms	(* x (cos y))
4.0ms	(* z (sin y))

series153.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(+ (* x (cos y)) (* z (sin y)))
38.0ms	(* x (cos y))
44.0ms	(* z (sin y))

simplify69.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	177	268
1	679	247
2	2062	247
3	5001	247

prune112.0ms

Filtered

60 candidates to 40 candidates (33.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	51	9	60
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	52	9	61

Merged error: 0.1b

Counts

61 → 9

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

13.0ms	(+ (* x (cos y)) (* (sin y) z))
6.0ms	(* x (cos y))
4.0ms	(* (sin y) z)

series147.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(+ (* x (cos y)) (* (sin y) z))
42.0ms	(* x (cos y))
36.0ms	(* (sin y) z)

simplify71.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	175	268
1	652	247
2	2022	247
3	5001	247

prune120.0ms

Filtered

60 candidates to 39 candidates (35.0%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	55	5	60
Fresh	4	4	8
Picked	1	0	1
Done	0	0	0
Total	60	9	69

Merged error: 0.0b

Counts

69 → 9

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))

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`
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:

6.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))

series422.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
103.0ms	(cbrt (sin y))
99.0ms	(cbrt (sin y))
101.0ms	(cbrt (sin y))

simplify97.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (91.0ms)

Iter	Nodes	Cost
0	163	490
1	595	417
2	3517	375
3	5001	369

prune212.0ms

Filtered

88 candidates to 60 candidates (31.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	86	2	88
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	89	8	97

Merged error: 0.0b

Counts

97 → 8

localize13.0ms

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))

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`
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:

6.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))

series422.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
100.0ms	(cbrt (sin y))
99.0ms	(cbrt (sin y))
103.0ms	(cbrt (sin y))

simplify97.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (91.0ms)

Iter	Nodes	Cost
0	163	490
1	595	417
2	3517	375
3	5001	369

prune181.0ms

Filtered

88 candidates to 60 candidates (31.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	87	9	96

Merged error: 0.0b

Counts

96 → 9

regimes116.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	20
1	19	20

end0.0ms

sample1.6s

Algorithm

intervals

Results

634.0ms	1510×	body	1280	valid
330.0ms	1301×	body	640	valid
242.0ms	4241×	body	80	valid
117.0ms	618×	body	320	valid
40.0ms	330×	body	160	valid