Details

sample59.0ms

Algorithm

intervals

Results

27.0ms	60×	body	1280	valid
9.0ms	36×	body	640	valid
8.0ms	132×	body	80	valid
3.0ms	18×	body	320	valid
1.0ms	10×	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 2 expressions with local error:

0.1b	(* x (sin y))
0.1b	(* z (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	(* x (sin y))
4.0ms	(* z (cos y))

series75.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(* x (sin y))
35.0ms	(* z (cos y))

simplify97.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (5.0ms)

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

prune93.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

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))

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:

156.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
98.0ms	(cbrt (cos y))
95.0ms	(cbrt (cos y))
94.0ms	(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

prune251.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

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

Counts

4 → 90

Calls

4 calls:

11.0ms	(* z (pow (pow (cos y) 2) 1/3))
9.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
2.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series245.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(* z (pow (pow (cos y) 2) 1/3))
35.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
16.0ms	(pow (cos y) 2)
99.0ms	(cbrt (cos y))

simplify52.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	320	572
1	1417	499
2	5002	468

prune281.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* z (pow (cbrt (pow (cos y) 6)) 1/3)) (cbrt (cos y)))
0.3b	(cbrt (pow (cos y) 6))
0.3b	(cbrt (cos y))
0.6b	(pow (cos y) 6)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

10.0ms	(* (* z (pow (cbrt (pow (cos y) 6)) 1/3)) (cbrt (cos y)))
2.0ms	(cbrt (pow (cos y) 6))
1.0ms	(cbrt (cos y))
3.0ms	(pow (cos y) 6)

series193.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (* z (pow (cbrt (pow (cos y) 6)) 1/3)) (cbrt (cos y)))
17.0ms	(cbrt (pow (cos y) 6))
101.0ms	(cbrt (cos y))
40.0ms	(pow (cos y) 6)

simplify38.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	251	473
1	1092	421
2	5001	391

prune231.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes133.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample1.6s

Algorithm

intervals

Results

641.0ms	1530×	body	1280	valid
335.0ms	1251×	body	640	valid
250.0ms	4305×	body	80	valid
104.0ms	598×	body	320	valid
39.0ms	316×	body	160	valid