Details

sample49.0ms

Algorithm

intervals

Results

18.0ms	44×	body	1280	valid
10.0ms	38×	body	640	valid
8.0ms	158×	body	80	valid
2.0ms	11×	body	320	valid
1.0ms	5×	body	160	valid

simplify22.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	5
1	28	5
2	37	5
3	43	5
4	52	5
5	66	5
6	101	5
7	166	5
8	212	5
9	236	5
10	250	5
11	270	5
12	270	5

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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)))
0.0b	(+ x (cos y))
0.1b	(* z (sin y))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`associate-r` `associate-l`
2×	`diff-log` `sum-log`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

3 → 44

Calls

3 calls:

6.0ms	(- (+ x (cos y)) (* z (sin y)))
4.0ms	(+ x (cos y))
8.0ms	(* z (sin y))

series108.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(- (+ x (cos y)) (* z (sin y)))
24.0ms	(+ x (cos y))
37.0ms	(* z (sin y))

simplify71.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	198	256
1	668	240
2	2771	240
3	5001	240

prune108.0ms

Filtered

53 candidates to 37 candidates (69.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	47	6	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	7	54

Merged error: 0.0b

Counts

54 → 7

localize13.0ms

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))

series395.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
99.0ms	(cbrt (sin y))
93.0ms	(cbrt (sin y))
94.0ms	(cbrt (sin y))

simplify88.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	154	453
1	551	401
2	3082	369
3	5002	363

prune216.0ms

Filtered

85 candidates to 60 candidates (70.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	83	9	92

Merged error: 0.0b

Counts

92 → 9

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin y))
0.6b	(cbrt (cbrt (sin y)))
0.6b	(cbrt (* (cbrt (sin y)) (cbrt (sin y))))
0.8b	(pow (cbrt (cbrt (sin y))) 4)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
11×	`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 → 58

Calls

4 calls:

1.0ms	(cbrt (sin y))
2.0ms	(cbrt (cbrt (sin y)))
4.0ms	(cbrt (* (cbrt (sin y)) (cbrt (sin y))))
4.0ms	(pow (cbrt (cbrt (sin y))) 4)

series434.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(cbrt (sin y))
104.0ms	(cbrt (cbrt (sin y)))
111.0ms	(cbrt (* (cbrt (sin y)) (cbrt (sin y))))
122.0ms	(pow (cbrt (cbrt (sin y))) 4)

simplify93.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (88.0ms)

Iter	Nodes	Cost
0	268	430
1	778	387
2	2572	367
3	5001	356

prune240.0ms

Filtered

70 candidates to 51 candidates (72.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	1	5	6
Picked	1	0	1
Done	0	2	2
Total	70	9	79

Merged error: 0.0b

Counts

79 → 9

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin y))
0.6b	(cbrt (cbrt (sin y)))
0.8b	(pow (cbrt (cbrt (sin y))) 4)
13.1b	(pow (pow (sin y) 2) 1/9)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
20×	`unpow-prod-down`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`add-exp-log`
6×	`pow-unpow`
5×	`pow1` `pow-exp`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-to-exp` `pow-pow` `pow1/3` `sqr-pow`
1×	`unpow2`

Counts

4 → 73

Calls

4 calls:

1.0ms	(cbrt (sin y))
2.0ms	(cbrt (cbrt (sin y)))
4.0ms	(pow (cbrt (cbrt (sin y))) 4)
4.0ms	(pow (pow (sin y) 2) 1/9)

series426.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(cbrt (sin y))
94.0ms	(cbrt (cbrt (sin y)))
125.0ms	(pow (cbrt (cbrt (sin y))) 4)
110.0ms	(pow (pow (sin y) 2) 1/9)

simplify118.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (112.0ms)

Iter	Nodes	Cost
0	348	470
1	1059	436
2	3793	417
3	5001	413

prune262.0ms

Filtered

85 candidates to 56 candidates (65.9%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	85	9	94

Merged error: 0.0b

Counts

94 → 9

regimes160.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5

end0.0ms

sample1.3s

Algorithm

intervals

Results

451.0ms	1061×	body	1280	valid
303.0ms	5553×	body	80	valid
216.0ms	804×	body	640	valid
68.0ms	381×	body	320	valid
25.0ms	200×	body	160	valid
1.0ms	1×	body	2560	valid

Iter	Nodes	Cost
0	14	5
1	28	5
2	37	5
3	43	5
4	52	5
5	66	5
6	101	5
7	166	5
8	212	5
9	236	5
10	250	5
11	270	5
12	270	5

Iter	Nodes	Cost
0	14	5
1	28	5
2	37	5
3	43	5
4	52	5
5	66	5
6	101	5
7	166	5
8	212	5
9	236	5
10	250	5
11	270	5
12	270	5

Iter	Nodes	Cost
0	14	5
1	28	5
2	37	5
3	43	5
4	52	5
5	66	5
6	101	5
7	166	5
8	212	5
9	236	5
10	250	5
11	270	5
12	270	5