Details

sample67.0ms

Algorithm

intervals

Results

28.0ms	52×	body	1280	valid
11.0ms	36×	body	640	valid
9.0ms	140×	body	80	valid
4.0ms	19×	body	320	valid
1.0ms	9×	body	160	valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	9
1	11	9

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 (sin y)) (* z (cos y)))
0.1b	(* z (cos y))
0.1b	(* x (sin 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×	`+-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))

series31.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(+ (* x (sin y)) (* z (cos y)))
7.0ms	(* z (cos y))
8.0ms	(* x (sin y))

simplify53.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4942	396
1	4942	396

prune92.0ms

Filtered

39 candidates to 56 candidates (-43.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	46	10	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	10	57

Merged error: 0.0b

Counts

57 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (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))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series79.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
17.0ms	(cbrt (cos y))
17.0ms	(cbrt (cos y))
19.0ms	(cbrt (cos y))

simplify59.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5512	477

prune108.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	84	11	95

Merged error: 0.0b

Counts

95 → 11

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

12×	`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 → 44

Calls

4 calls:

3.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series68.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(cbrt (cos y))
17.0ms	(cbrt (cos y))
17.0ms	(cbrt (cos y))
17.0ms	(cbrt (cos y))

simplify25.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5432	284

prune93.0ms

Filtered

40 candidates to 56 candidates (-40.0%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	56	11	67

Merged error: 0.0b

Counts

67 → 11

localize14.0ms

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)

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:

5.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series91.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (cbrt x) (cbrt x))
21.0ms	(cbrt x)
23.0ms	(cbrt x)
22.0ms	(cbrt x)

simplify74.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5837	334

prune63.0ms

Filtered

52 candidates to 85 candidates (-63.5%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	84	12	96

Merged error: 0.0b

Counts

96 → 12

regimes252.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	18
1	15	18

end0.0ms

sample2.0s

Algorithm

intervals

Results

711.0ms	1524×	body	1280	valid
362.0ms	1231×	body	640	valid
314.0ms	603×	body	320	valid
278.0ms	4326×	body	80	valid
44.0ms	316×	body	160	valid

Details

sample67.0ms

simplify3.0ms

prune4.0ms

localize9.0ms

rewrite12.0ms

series31.0ms

simplify53.0ms

prune92.0ms

localize13.0ms

rewrite12.0ms

series79.0ms

simplify59.0ms

prune108.0ms

localize17.0ms

rewrite9.0ms

series68.0ms

simplify25.0ms

prune93.0ms

localize14.0ms

rewrite11.0ms

series91.0ms

simplify74.0ms

prune63.0ms

regimes252.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.0s

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