Details

analyze246.0ms

Algorithm: search

sample64.0ms

Algorithm

intervals

Results

28.0ms	65×	body	1280	valid
12.0ms	133×	body	80	valid
9.0ms	32×	body	640	valid
3.0ms	14×	body	320	valid
2.0ms	12×	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

prune4.0ms

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

rewrite12.0ms

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

series28.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(- (* x (cos y)) (* z (sin y)))
7.0ms	(* z (sin y))
6.0ms	(* x (cos y))

simplify60.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 1 (5.0ms)

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

prune97.0ms

Filtered

39 candidates to 57 candidates (-46.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	47	10	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	10	58

Merged error: 0.0b

Counts

58 → 10

localize13.0ms

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))

rewrite11.0ms

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))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series74.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
16.0ms	(cbrt (cos y))
18.0ms	(cbrt (cos y))
16.0ms	(cbrt (cos y))

simplify107.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (100.0ms)

Iter	Nodes	Cost
0	125	433
1	507	381
2	3337	357
3	5001	351

prune114.0ms

Filtered

60 candidates to 85 candidates (-41.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	86	9	95

Merged error: 0.0b

Counts

95 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (cbrt (cos y)))
0.3b	(cbrt (cbrt (cos y)))
0.3b	(cbrt (cbrt (cos y)))
0.4b	(pow (cbrt (cbrt (cos y))) 4)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 66

Calls

4 calls:

2.0ms	(cbrt (cbrt (cos y)))
2.0ms	(cbrt (cbrt (cos y)))
2.0ms	(cbrt (cbrt (cos y)))
4.0ms	(pow (cbrt (cbrt (cos y))) 4)

series72.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(cbrt (cbrt (cos y)))
16.0ms	(cbrt (cbrt (cos y)))
16.0ms	(cbrt (cbrt (cos y)))
24.0ms	(pow (cbrt (cbrt (cos y))) 4)

simplify65.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (59.0ms)

Iter	Nodes	Cost
0	146	464
1	462	430
2	1602	408
3	5001	402

prune114.0ms

Filtered

53 candidates to 78 candidates (-47.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	78	9	87

Merged error: 0.0b

Counts

87 → 9

localize13.0ms

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:

7.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series86.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (cbrt z) (cbrt z))
20.0ms	(cbrt z)
20.0ms	(cbrt z)
20.0ms	(cbrt z)

simplify72.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (67.0ms)

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

prune70.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	83	11	94

Merged error: 0.0b

Counts

94 → 11

regimes254.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	19
1	19	19

end0.0ms

analyze440.0ms

Algorithm: search

sample1.7s

Algorithm

intervals

Results

696.0ms	1518×	body	1280	valid
357.0ms	1265×	body	640	valid
298.0ms	4325×	body	80	valid
116.0ms	582×	body	320	valid
48.0ms	310×	body	160	valid

Details

analyze246.0ms

sample64.0ms

simplify5.0ms

prune4.0ms

localize9.0ms

rewrite12.0ms

series28.0ms

simplify60.0ms

prune97.0ms

localize13.0ms

rewrite11.0ms

series74.0ms

simplify107.0ms

prune114.0ms

localize17.0ms

rewrite10.0ms

series72.0ms

simplify65.0ms

prune114.0ms

localize13.0ms

rewrite12.0ms

series86.0ms

simplify72.0ms

prune70.0ms

regimes254.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze440.0ms

sample1.7s

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