Details

sample62.0ms

Algorithm

intervals

Results

23.0ms	52×	body	1280	valid
14.0ms	38×	body	640	valid
8.0ms	132×	body	80	valid
5.0ms	25×	body	320	valid
1.0ms	9×	body	160	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x (cos y)) (* z (sin y)))
0.1b	(* x (cos y))
0.2b	(* 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×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 48

Calls

3 calls:

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

series382.0ms

Counts

3 → 9

Calls

3 calls:

295.0ms	(- (* x (cos y)) (* z (sin y)))
45.0ms	(* x (cos y))
41.0ms	(* z (sin y))

simplify69.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 1 (8.0ms)

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

prune151.0ms

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

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (cos y)) (cbrt (cos y)))
0.4b	(cbrt (cos y))
0.4b	(cbrt (cos y))
0.4b	(cbrt (cos y))

rewrite15.0ms

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)))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series502.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
111.0ms	(cbrt (cos y))
108.0ms	(cbrt (cos y))
111.0ms	(cbrt (cos y))

simplify111.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (104.0ms)

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

prune234.0ms

Filtered

85 candidates to 60 candidates (70.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	85	8	93

Merged error: 0.0b

Counts

93 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

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 z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
2.0ms	(cbrt z)

series828.0ms

Counts

4 → 12

Calls

4 calls:

228.0ms	(* (cbrt z) (cbrt z))
194.0ms	(cbrt z)
207.0ms	(cbrt z)
198.0ms	(cbrt z)

simplify101.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (94.0ms)

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

prune264.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	84	9	93

Merged error: 0.0b

Counts

93 → 9

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.7b	(cbrt (sin y))
0.7b	(cbrt (sin y))
0.7b	(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))

series481.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
114.0ms	(cbrt (sin y))
113.0ms	(cbrt (sin y))
114.0ms	(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

prune244.0ms

Filtered

85 candidates to 60 candidates (70.6%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	1	5	6
Picked	1	0	1
Done	0	2	2
Total	84	10	94

Merged error: 0.0b

Counts

94 → 10

regimes198.0ms

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	14	12
1	14	12

end0.0ms

sample1.7s

Algorithm

intervals

Results

644.0ms	1436×	body	1280	valid
361.0ms	1275×	body	640	valid
281.0ms	4343×	body	80	valid
138.0ms	615×	body	320	valid
46.0ms	331×	body	160	valid