Details

sample75.0ms

Algorithm

intervals

Results

25.0ms	30×	body	1280	valid
17.0ms	185×	body	80	valid
12.0ms	26×	body	640	valid
3.0ms	10×	body	320	valid
1.0ms	5×	body	160	valid

simplify23.0ms

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: 0.0b

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))

rewrite14.0ms

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

series105.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(- (+ x (cos y)) (* z (sin y)))
28.0ms	(+ x (cos y))
35.0ms	(* z (sin y))

simplify75.0ms

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

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	49	4	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	49	5	54

Merged error: 0.0b

Counts

54 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

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

series736.0ms

Counts

4 → 12

Calls

4 calls:

205.0ms	(* (cbrt z) (cbrt z))
175.0ms	(cbrt z)
184.0ms	(cbrt z)
172.0ms	(cbrt z)

simplify87.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (82.0ms)

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

prune217.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	84	6	90

Merged error: 0.0b

Counts

90 → 6

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))

series388.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
92.0ms	(cbrt (sin y))
92.0ms	(cbrt (sin y))
97.0ms	(cbrt (sin y))

simplify95.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (83.0ms)

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

prune206.0ms

Filtered

85 candidates to 60 candidates (70.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	86	5	91

Merged error: 0.0b

Counts

91 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* z (pow (pow (sin y) 2) 1/3)) (cbrt (sin y)))
0.3b	(pow (sin y) 2)
0.6b	(cbrt (sin y))
15.7b	(pow (pow (sin y) 2) 1/3)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

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

series259.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (* z (pow (pow (sin y) 2) 1/3)) (cbrt (sin y)))
18.0ms	(pow (sin y) 2)
101.0ms	(cbrt (sin y))
106.0ms	(pow (pow (sin y) 2) 1/3)

simplify49.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	363	483
1	1456	412
2	5001	395

prune194.0ms

Filtered

91 candidates to 54 candidates (59.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	91	5	96

Merged error: 0.0b

Counts

96 → 5

regimes112.0ms

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

sample1.2s

Algorithm

intervals

Results

382.0ms	916×	body	1280	valid
289.0ms	5699×	body	80	valid
198.0ms	814×	body	640	valid
75.0ms	395×	body	320	valid
21.0ms	176×	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