Details

sample61.0ms

Algorithm

intervals

Results

21.0ms	48×	body	1280	valid
13.0ms	140×	body	80	valid
9.0ms	33×	body	640	valid
5.0ms	27×	body	320	valid
1.0ms	8×	body	160	valid

simplify6.0ms

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

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

localize9.0ms

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×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 48

Calls

3 calls:

3.0ms	(- (* x (cos y)) (* z (sin y)))
4.0ms	(* x (cos y))
4.0ms	(* z (sin y))

series29.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(- (* x (cos y)) (* z (sin y)))
7.0ms	(* x (cos y))
7.0ms	(* z (sin y))

simplify63.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 1 (6.0ms)

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

prune99.0ms

Filtered

57 candidates to 39 candidates (31.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	46	11	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	11	58

Merged error: 0.0b

Counts

58 → 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))

series79.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
17.0ms	(cbrt (cos y))
17.0ms	(cbrt (cos y))
19.0ms	(cbrt (cos y))

simplify104.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (99.0ms)

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

prune124.0ms

Filtered

85 candidates to 60 candidates (29.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	10	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))

series34.0ms

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)
17.0ms	(cbrt (cos y))

simplify43.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (37.0ms)

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

prune143.0ms

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))

rewrite6.0ms

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))

series70.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify207.0ms

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

prune92.0ms

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

regimes359.0ms

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	17	10
1	17	10

end0.0ms

sample1.7s

Algorithm

intervals

Results

657.0ms	1488×	body	1280	valid
337.0ms	1213×	body	640	valid
267.0ms	4380×	body	80	valid
122.0ms	627×	body	320	valid
42.0ms	292×	body	160	valid

Details

sample61.0ms

simplify6.0ms

prune4.0ms

localize9.0ms

rewrite12.0ms

series29.0ms

simplify63.0ms

prune99.0ms

localize13.0ms

rewrite11.0ms

series79.0ms

simplify104.0ms

prune124.0ms

localize16.0ms

rewrite18.0ms

series34.0ms

simplify43.0ms

prune143.0ms

localize20.0ms

rewrite6.0ms

series70.0ms

simplify207.0ms

prune92.0ms

regimes359.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.7s

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