Details

analyze281.0ms

Algorithm: search

sample55.0ms

Algorithm

intervals

Results

20.0ms	44×	body	1280	valid
10.0ms	35×	body	640	valid
9.0ms	140×	body	80	valid
5.0ms	26×	body	320	valid
1.0ms	11×	body	160	valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

prune3.0ms

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 (sin y)) (* z (cos y)))
0.1b	(* z (cos y))
0.2b	(* x (sin y))

rewrite13.0ms

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

series33.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(+ (* x (sin y)) (* z (cos y)))
6.0ms	(* z (cos y))
7.0ms	(* x (sin y))

simplify69.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 1 (6.0ms)

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

prune93.0ms

Filtered

40 candidates to 56 candidates (-40.0%)

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

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

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 x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series93.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (cbrt x) (cbrt x))
22.0ms	(cbrt x)
22.0ms	(cbrt x)
22.0ms	(cbrt x)

simplify70.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (65.0ms)

Iter	Nodes	Cost
0	148	349
1	471	322
2	2276	265
3	5002	252

prune102.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	84	12	96

Merged error: 0.0b

Counts

96 → 12

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))

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 (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))

series81.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
18.0ms	(cbrt (sin y))
18.0ms	(cbrt (sin y))
19.0ms	(cbrt (sin y))

simplify114.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (108.0ms)

Iter	Nodes	Cost
0	161	512
1	596	460
2	3671	403
3	5002	397

prune121.0ms

Filtered

60 candidates to 85 candidates (-41.7%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	10	10
Picked	1	0	1
Done	0	1	1
Total	85	12	97

Merged error: 0.0b

Counts

97 → 12

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt (* (cbrt x) (cbrt x)))
0.6b	(cbrt (cbrt x))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

16×	`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 → 45

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
4.0ms	(cbrt (* (cbrt x) (cbrt x)))
2.0ms	(cbrt (cbrt x))

series109.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt x)
22.0ms	(cbrt x)
36.0ms	(cbrt (* (cbrt x) (cbrt x)))
30.0ms	(cbrt (cbrt x))

simplify202.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 3 (29.0ms)

Iter	Nodes	Cost
0	147	266
1	289	242
2	847	200
3	4353	187
4	5001	187

prune62.0ms

Filtered

45 candidates to 57 candidates (-26.7%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	57	12	69

Merged error: 0.0b

Counts

69 → 12

regimes236.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	10
1	15	10

end0.0ms

analyze274.0ms

Algorithm: search

sample1.7s

Algorithm

intervals

Results

668.0ms	1489×	body	1280	valid
365.0ms	1294×	body	640	valid
280.0ms	4263×	body	80	valid
126.0ms	649×	body	320	valid
45.0ms	305×	body	160	valid

Details

analyze281.0ms

sample55.0ms

simplify3.0ms

prune3.0ms

localize9.0ms

rewrite13.0ms

series33.0ms

simplify69.0ms

prune93.0ms

localize13.0ms

rewrite13.0ms

series93.0ms

simplify70.0ms

prune102.0ms

localize15.0ms

rewrite12.0ms

series81.0ms

simplify114.0ms

prune121.0ms

localize17.0ms

rewrite8.0ms

series109.0ms

simplify202.0ms

prune62.0ms

regimes236.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze274.0ms

sample1.7s

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