Details

sample61.0ms

Algorithm

intervals

Results

24.0ms	57×	body	1280	valid
17.0ms	55×	body	640	valid
7.0ms	120×	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: 0.1b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

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

series74.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(* z (sin y))
35.0ms	(* x (cos y))

simplify89.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	118	145
1	439	125
2	1037	125
3	1579	125
4	3660	125
5	5002	125

prune101.0ms

Filtered

42 candidates to 28 candidates (66.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	33	9	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	34	9	43

Merged error: 0.0b

Counts

43 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (cos y)) (cbrt (cos y)))
0.4b	(cbrt (cos y))
0.4b	(cbrt (cos y))
0.4b	(cbrt (cos 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 (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series443.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
96.0ms	(cbrt (cos y))
95.0ms	(cbrt (cos y))
97.0ms	(cbrt (cos y))

simplify103.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	122	441
1	481	389
2	3180	357
3	5001	351

prune217.0ms

Filtered

85 candidates to 60 candidates (70.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	86	8	94

Merged error: 0.0b

Counts

94 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (cos y))
0.4b	(cbrt (cos y))
0.4b	(cbrt (cos y))
0.4b	(cbrt (cos y))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series387.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(cbrt (cos y))
99.0ms	(cbrt (cos y))
96.0ms	(cbrt (cos y))
96.0ms	(cbrt (cos y))

simplify107.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 4 (103.0ms)

Iter	Nodes	Cost
0	47	232
1	139	212
2	435	204
3	2152	204
4	5001	200

prune187.0ms

Filtered

56 candidates to 44 candidates (78.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	56	8	64

Merged error: 0.0b

Counts

64 → 8

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))

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 (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))

series401.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
94.0ms	(cbrt (sin y))
96.0ms	(cbrt (sin y))
96.0ms	(cbrt (sin y))

simplify92.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (86.0ms)

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

prune200.0ms

Filtered

85 candidates to 60 candidates (70.6%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	82	11	93

Merged error: 0.0b

Counts

93 → 11

regimes130.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	12
1	15	12

end0.0ms

sample1.6s

Algorithm

intervals

Results

690.0ms	1597×	body	1280	valid
338.0ms	1221×	body	640	valid
257.0ms	4270×	body	80	valid
114.0ms	592×	body	320	valid
41.0ms	320×	body	160	valid