Details

sample61.0ms

Algorithm

intervals

Results

23.0ms	52×	body	1280	valid
11.0ms	38×	body	640	valid
10.0ms	132×	body	80	valid
5.0ms	25×	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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite12.0ms

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

series147.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(+ (* x (cos y)) (* z (sin y)))
36.0ms	(* x (cos y))
43.0ms	(* z (sin y))

simplify72.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	183	248
1	698	227
2	2213	227
3	5001	227

prune136.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

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))

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))

series461.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
98.0ms	(cbrt (cos y))
100.0ms	(cbrt (cos y))
101.0ms	(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	352

prune245.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (pow (pow (cos y) 2) 1/3))
0.2b	(* z (sin y))
0.2b	(pow (cos y) 2)
0.4b	(cbrt (cos y))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

12.0ms	(* x (pow (pow (cos y) 2) 1/3))
3.0ms	(* z (sin y))
1.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series249.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(* x (pow (pow (cos y) 2) 1/3))
37.0ms	(* z (sin y))
20.0ms	(pow (cos y) 2)
98.0ms	(cbrt (cos y))

simplify40.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	303	420
1	1123	367
2	5002	361

prune292.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x (sqrt (pow (pow (cos y) 2) 1/3))) (sqrt (pow (pow (cos y) 2) 1/3)))
0.2b	(pow (cos y) 2)
0.2b	(pow (cos y) 2)
0.4b	(cbrt (cos y))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

29.0ms	(* (* x (sqrt (pow (pow (cos y) 2) 1/3))) (sqrt (pow (pow (cos y) 2) 1/3)))
4.0ms	(pow (cos y) 2)
1.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series241.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(* (* x (sqrt (pow (pow (cos y) 2) 1/3))) (sqrt (pow (pow (cos y) 2) 1/3)))
21.0ms	(pow (cos y) 2)
18.0ms	(pow (cos y) 2)
105.0ms	(cbrt (cos y))

simplify41.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	291	524
1	1154	421
2	5001	417

prune275.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes100.0ms

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

sample1.7s

Algorithm

intervals

Results

661.0ms	1436×	body	1280	valid
369.0ms	1275×	body	640	valid
317.0ms	4343×	body	80	valid
127.0ms	615×	body	320	valid
48.0ms	331×	body	160	valid