Details

sample39.0ms

Algorithm

intervals

Results

12.0ms	31×	body	1280	valid
9.0ms	181×	body	80	valid
7.0ms	27×	body	640	valid
1.0ms	8×	body	320	valid
1.0ms	9×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	5
1	20	5
2	22	5
3	22	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `associate-l`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

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

series64.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(+ x (sin y))
39.0ms	(* z (cos y))

simplify107.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	125	129
1	358	114
2	805	114
3	1557	114
4	4463	114
5	5001	114

prune82.0ms

Pruning

5 alts after pruning (4 fresh and 1 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))

series469.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
99.0ms	(cbrt (cos y))
106.0ms	(cbrt (cos y))
107.0ms	(cbrt (cos y))

simplify103.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (95.0ms)

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

prune227.0ms

Pruning

5 alts after pruning (5 fresh and 0 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	(cbrt (cos y))
0.3b	(pow (cos y) 2)

rewrite35.0ms

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:

12.0ms	(* z (pow (pow (cos y) 2) 1/3))
19.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(pow (cos y) 2)

series239.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(* z (pow (pow (cos y) 2) 1/3))
40.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
92.0ms	(cbrt (cos y))
16.0ms	(pow (cos y) 2)

simplify46.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	320	572
1	1417	499
2	5001	468

prune281.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize18.0ms

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 (cos y))
0.3b	(cbrt (pow (cos y) 6))
0.6b	(pow (cos y) 6)

rewrite24.0ms

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:

19.0ms	(* (* z (pow (cbrt (pow (cos y) 6)) 1/3)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (pow (cos y) 6))
1.0ms	(pow (cos y) 6)

series199.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (* z (pow (cbrt (pow (cos y) 6)) 1/3)) (cbrt (cos y)))
97.0ms	(cbrt (cos y))
17.0ms	(cbrt (pow (cos y) 6))
46.0ms	(pow (cos y) 6)

simplify40.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	253	465
1	1128	397
2	5001	388

prune222.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes76.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	11
1	19	11

end0.0ms

sample1.2s

Algorithm

intervals

Results

398.0ms	949×	body	1280	valid
272.0ms	5617×	body	80	valid
215.0ms	829×	body	640	valid
65.0ms	400×	body	320	valid
24.0ms	204×	body	160	valid
1.0ms	1×	body	2560	valid