Details

sample58.0ms

Algorithm

intervals

Results

25.0ms	62×	body	1280	valid
9.0ms	37×	body	640	valid
8.0ms	126×	body	80	valid
3.0ms	19×	body	320	valid
1.0ms	12×	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

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite10.0ms

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:

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

series151.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(+ (* x (sin y)) (* z (cos y)))
36.0ms	(* x (sin y))
41.0ms	(* z (cos y))

simplify73.0ms

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

prune143.0ms

Filtered

56 candidates to 40 candidates (71.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (cos y)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite10.0ms

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))

series440.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
94.0ms	(cbrt (cos y))
94.0ms	(cbrt (cos y))
97.0ms	(cbrt (cos y))

simplify105.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (100.0ms)

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

prune267.0ms

Filtered

85 candidates to 60 candidates (70.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (sin y))
0.2b	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
0.3b	(pow (cos y) 2)
0.3b	(cbrt (cos y))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

3.0ms	(* x (sin y))
16.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
1.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series197.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* x (sin y))
36.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
16.0ms	(pow (cos y) 2)
102.0ms	(cbrt (cos y))

simplify43.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	294	422
1	1280	367
2	5001	350

prune253.0ms

Filtered

84 candidates to 52 candidates (61.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* z (* (pow (pow (cos y) 2) 1/3) (cbrt (cos y))))
0.2b	(* (pow (pow (cos y) 2) 1/3) (cbrt (cos y)))
0.3b	(pow (cos y) 2)
0.3b	(cbrt (cos y))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
28×	`add-exp-log`
24×	`unpow-prod-down`
16×	`prod-exp`
15×	`associate-l`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`cbrt-prod` `unswap-sqr`
10×	`add-cbrt-cube`
9×	`pow-exp`
7×	`pow1` `associate-r` `cbrt-unprod` `sqr-pow`
5×	`pow-to-exp`
4×	`unpow2` `add-log-exp`
3×	`pow-unpow`
2×	`unpow1/3` `pow1/3` `pow-prod-down` `*-commutative`
1×	`pow-pow`

Counts

4 → 97

Calls

4 calls:

15.0ms	(* z (* (pow (pow (cos y) 2) 1/3) (cbrt (cos y))))
17.0ms	(* (pow (pow (cos y) 2) 1/3) (cbrt (cos y)))
1.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series162.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* z (* (pow (pow (cos y) 2) 1/3) (cbrt (cos y))))
6.0ms	(* (pow (pow (cos y) 2) 1/3) (cbrt (cos y)))
16.0ms	(pow (cos y) 2)
98.0ms	(cbrt (cos y))

simplify49.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	326	733
1	1274	653
2	5001	596

prune308.0ms

Filtered

109 candidates to 68 candidates (62.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes123.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	10
1	18	10

end0.0ms

sample1.8s

Algorithm

intervals

Results

843.0ms	1521×	body	1280	valid
324.0ms	1211×	body	640	valid
258.0ms	4328×	body	80	valid
119.0ms	619×	body	320	valid
45.0ms	321×	body	160	valid