Details

sample58.0ms

Algorithm

intervals

Results

25.0ms	55×	body	1280	valid
11.0ms	45×	body	640	valid
8.0ms	132×	body	80	valid
3.0ms	15×	body	320	valid
1.0ms	9×	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

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: 0.2b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (sin y)) (* z (cos y)))
0.1b	(* x (sin y))
0.2b	(* z (cos y))

rewrite13.0ms

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

series153.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(+ (* x (sin y)) (* z (cos y)))
43.0ms	(* x (sin y))
37.0ms	(* z (cos y))

simplify72.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	185	250
1	702	229
2	2218	229
3	5001	229

prune138.0ms

Filtered

56 candidates to 40 candidates (71.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	44	12	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	12	57

Merged error: 0.1b

Counts

57 → 12

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)
0.6b	(* (cbrt x) (cbrt x))

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:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
6.0ms	(* (cbrt x) (cbrt x))

series745.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt x)
185.0ms	(cbrt x)
179.0ms	(cbrt x)
198.0ms	(* (cbrt x) (cbrt x))

simplify91.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	115	288
1	479	261
2	2963	238
3	5002	235

prune245.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	1	10	11
Picked	0	1	1
Done	0	0	0
Total	83	14	97

Merged error: 0.0b

Counts

97 → 14

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (sin y))) (cbrt (* x (sin y))))
7.7b	(cbrt (* x (sin y)))
7.7b	(cbrt (* x (sin y)))
7.7b	(cbrt (* x (sin y)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

5.0ms	(* (cbrt (* x (sin y))) (cbrt (* x (sin y))))
2.0ms	(cbrt (* x (sin y)))
3.0ms	(cbrt (* x (sin y)))
3.0ms	(cbrt (* x (sin y)))

series527.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(* (cbrt (* x (sin y))) (cbrt (* x (sin y))))
122.0ms	(cbrt (* x (sin y)))
127.0ms	(cbrt (* x (sin y)))
123.0ms	(cbrt (* x (sin y)))

simplify89.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	190	460
1	631	408
2	3033	348
3	5001	326

prune220.0ms

Filtered

70 candidates to 53 candidates (75.7%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	2	10	12
Picked	0	1	1
Done	0	1	1
Total	70	14	84

Merged error: 0.0b

Counts

84 → 14

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.6b	(cbrt (sin y))
7.7b	(cbrt (* x (sin y)))
7.7b	(cbrt (* x (sin y)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 40

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt (sin y))
3.0ms	(cbrt (* x (sin y)))
3.0ms	(cbrt (* x (sin y)))

series533.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(cbrt x)
99.0ms	(cbrt (sin y))
121.0ms	(cbrt (* x (sin y)))
126.0ms	(cbrt (* x (sin y)))

simplify147.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 3 (34.0ms)

Iter	Nodes	Cost
0	157	246
1	340	224
2	1079	206
3	4922	196
4	5003	196

prune173.0ms

Filtered

52 candidates to 43 candidates (82.7%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	49	3	52
Fresh	2	9	11
Picked	1	0	1
Done	0	2	2
Total	52	14	66

Merged error: 0.0b

Counts

66 → 14

regimes175.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	10
1	15	10

end0.0ms

sample1.5s

Algorithm

intervals

Results

588.0ms	1418×	body	1280	valid
335.0ms	1258×	body	640	valid
251.0ms	4415×	body	80	valid
106.0ms	617×	body	320	valid
35.0ms	292×	body	160	valid