Details

sample57.0ms

Algorithm

intervals

Results

21.0ms	48×	body	1280	valid
9.0ms	33×	body	640	valid
8.0ms	140×	body	80	valid
5.0ms	27×	body	320	valid
1.0ms	8×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

prune3.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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

localize14.0ms

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))

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

series28.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(+ (* x (cos y)) (* z (sin y)))
6.0ms	(* x (cos y))
7.0ms	(* z (sin y))

simplify69.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	183	248
1	698	227
2	2213	227
3	5001	227

prune98.0ms

Filtered

56 candidates to 39 candidates (30.4%)

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:

0.3b	(* (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))

series77.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
18.0ms	(cbrt (cos y))
17.0ms	(cbrt (cos y))
17.0ms	(cbrt (cos y))

simplify106.0ms

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

prune121.0ms

Filtered

85 candidates to 60 candidates (29.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	1	9	10
Picked	1	0	1
Done	0	0	0
Total	85	11	96

Merged error: 0.0b

Counts

96 → 11

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(* z (sin y))
0.2b	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
0.2b	(pow (cos y) 2)
0.3b	(cbrt (cos y))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

4.0ms	(* z (sin y))
9.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
2.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series35.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* z (sin y))
7.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
3.0ms	(pow (cos y) 2)
19.0ms	(cbrt (cos y))

simplify44.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	297	419
1	1306	364
2	5002	350

prune137.0ms

Filtered

84 candidates to 52 candidates (38.1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	83	12	95

Merged error: 0.0b

Counts

95 → 12

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 47

Calls

4 calls:

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

series69.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(cbrt (cbrt (cos y)))
16.0ms	(cbrt (cos y))
17.0ms	(cbrt (cos y))
19.0ms	(cbrt (cos y))

simplify209.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	83	266
1	228	244
2	751	236
3	4296	236
4	5001	236

prune87.0ms

Filtered

59 candidates to 46 candidates (22.0%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	59	12	71

Merged error: 0.0b

Counts

71 → 12

regimes349.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	10
1	18	10

end0.0ms

sample1.7s

Algorithm

intervals

Results

662.0ms	1488×	body	1280	valid
346.0ms	1213×	body	640	valid
284.0ms	4380×	body	80	valid
124.0ms	627×	body	320	valid
39.0ms	292×	body	160	valid

Details

sample57.0ms

simplify4.0ms

prune3.0ms

localize14.0ms

rewrite12.0ms

series28.0ms

simplify69.0ms

prune98.0ms

localize13.0ms

rewrite11.0ms

series77.0ms

simplify106.0ms

prune121.0ms

localize16.0ms

rewrite18.0ms

series35.0ms

simplify44.0ms

prune137.0ms

localize20.0ms

rewrite7.0ms

series69.0ms

simplify209.0ms

prune87.0ms

regimes349.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.7s

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