Details

sample47.0ms

Algorithm

intervals

Results

16.0ms	39×	body	1280	valid
10.0ms	178×	body	80	valid
7.0ms	28×	body	640	valid
2.0ms	8×	body	320	valid
0.0ms	3×	body	160	valid

simplify28.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune3.0ms

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

localize15.0ms

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))

rewrite16.0ms

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))
5.0ms	(* z (sin y))

series128.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(- (+ x (cos y)) (* z (sin y)))
29.0ms	(+ x (cos y))
42.0ms	(* z (sin y))

simplify87.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 1 (8.0ms)

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

prune137.0ms

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

localize14.0ms

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))

rewrite14.0ms

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 (sin y)) (cbrt (sin y)))
2.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))

series694.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
117.0ms	(cbrt (sin y))
109.0ms	(cbrt (sin y))
336.0ms	(cbrt (sin y))

simplify105.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (98.0ms)

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

prune260.0ms

Filtered

85 candidates to 60 candidates (70.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	85	7	92

Merged error: 0.0b

Counts

92 → 7

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.7b	(cbrt (* (cbrt (sin y)) (cbrt (sin y))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 42

Calls

4 calls:

2.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))
5.0ms	(cbrt (* (cbrt (sin y)) (cbrt (sin y))))

series481.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(cbrt (sin y))
110.0ms	(cbrt (sin y))
114.0ms	(cbrt (sin y))
136.0ms	(cbrt (* (cbrt (sin y)) (cbrt (sin y))))

simplify127.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 4 (121.0ms)

Iter	Nodes	Cost
0	111	274
1	241	246
2	762	235
3	2830	235
4	5002	232

prune215.0ms

Filtered

54 candidates to 44 candidates (81.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	54	7	61

Merged error: 0.0b

Counts

61 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.5b	(cbrt z)
0.5b	(cbrt z)
0.5b	(cbrt z)

rewrite13.0ms

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 z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
2.0ms	(cbrt z)

series818.0ms

Counts

4 → 12

Calls

4 calls:

218.0ms	(* (cbrt z) (cbrt z))
203.0ms	(cbrt z)
195.0ms	(cbrt z)
202.0ms	(cbrt z)

simplify99.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (93.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune255.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	85	7	92

Merged error: 0.0b

Counts

92 → 7

regimes150.0ms

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

426.0ms	985×	body	1280	valid
314.0ms	5647×	body	80	valid
213.0ms	784×	body	640	valid
69.0ms	396×	body	320	valid
23.0ms	188×	body	160	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