Details

sample54.0ms

Algorithm

intervals

Results

22.0ms	55×	body	1280	valid
11.0ms	45×	body	640	valid
7.0ms	132×	body	80	valid
3.0ms	15×	body	320	valid
1.0ms	9×	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))

rewrite17.0ms

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)))
4.0ms	(* x (cos y))
8.0ms	(* z (sin y))

series137.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(- (* x (cos y)) (* z (sin y)))
33.0ms	(* 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

prune131.0ms

Filtered

57 candidates to 39 candidates (68.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	49	8	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	8	58

Merged error: 0.0b

Counts

58 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (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))
2.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series620.0ms

Counts

4 → 12

Calls

4 calls:

339.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
92.0ms	(cbrt (cos y))
94.0ms	(cbrt (cos y))
95.0ms	(cbrt (cos y))

simplify104.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (98.0ms)

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

prune222.0ms

Filtered

85 candidates to 60 candidates (70.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	83	10	93

Merged error: 0.0b

Counts

93 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(* z (sin y))
0.1b	(* x (pow (pow (cos y) 2) 1/3))
0.3b	(cbrt (cos y))
0.3b	(pow (cos y) 2)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`unpow-prod-down`
15×	`add-exp-log` `associate-r`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`add-cbrt-cube`
7×	`pow1` `unswap-sqr`
6×	`associate-l` `prod-exp`
5×	`pow-exp` `sqr-pow`
4×	`add-log-exp`
3×	`cbrt-prod` `pow-to-exp` `pow-unpow` `cbrt-unprod` `unpow2`
2×	`*-commutative`
1×	`pow-pow` `unpow1/3` `pow1/3` `pow-prod-down`

Counts

4 → 83

Calls

4 calls:

4.0ms	(* z (sin y))
8.0ms	(* x (pow (pow (cos y) 2) 1/3))
1.0ms	(cbrt (cos y))
3.0ms	(pow (cos y) 2)

series240.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* z (sin y))
93.0ms	(* x (pow (pow (cos y) 2) 1/3))
96.0ms	(cbrt (cos y))
17.0ms	(pow (cos y) 2)

simplify41.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	303	420
1	1123	367
2	5001	361

prune250.0ms

Filtered

95 candidates to 61 candidates (64.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	95	10	105

Merged error: 0.0b

Counts

105 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

8.0ms	(* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y))))
2.0ms	(cbrt (cbrt (cos y)))
2.0ms	(cbrt (cbrt (cos y)))
2.0ms	(cbrt (cbrt (cos y)))

series405.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y))))
96.0ms	(cbrt (cbrt (cos y)))
103.0ms	(cbrt (cbrt (cos y)))
95.0ms	(cbrt (cbrt (cos y)))

simplify82.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 3 (73.0ms)

Iter	Nodes	Cost
0	138	839
1	460	788
2	2292	722
3	5002	708

prune269.0ms

Filtered

108 candidates to 70 candidates (64.8%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	108	10	118

Merged error: 0.0b

Counts

118 → 10

regimes171.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	10
1	17	10

end0.0ms

sample1.5s

Algorithm

intervals

Results

593.0ms	1417×	body	1280	valid
325.0ms	1257×	body	640	valid
252.0ms	4417×	body	80	valid
111.0ms	623×	body	320	valid
35.0ms	286×	body	160	valid