Details

sample52.0ms

Algorithm

intervals

Results

19.0ms	46×	body	1280	valid
12.0ms	46×	body	640	valid
8.0ms	136×	body	80	valid
3.0ms	15×	body	320	valid
2.0ms	13×	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

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite11.0ms

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

series148.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(+ (* x (sin y)) (* z (cos y)))
34.0ms	(* z (cos y))
41.0ms	(* x (sin y))

simplify71.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	185	250
1	702	229
2	2218	229
3	5001	229

prune149.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

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))

series447.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
97.0ms	(cbrt (cos y))
97.0ms	(cbrt (cos y))
95.0ms	(cbrt (cos y))

simplify99.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (94.0ms)

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

prune269.0ms

Pruning

11 alts after pruning (10 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))
0.2b	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
0.2b	(pow (cos y) 2)
0.3b	(cbrt (cos y))

rewrite38.0ms

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))
22.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
1.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series249.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(* z (pow (pow (cos y) 2) 1/3))
41.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
16.0ms	(pow (cos y) 2)
98.0ms	(cbrt (cos y))

simplify47.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (40.0ms)

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

prune301.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (sin y)) (cbrt (sin y)))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin 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 (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))

series415.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
104.0ms	(cbrt (sin y))
97.0ms	(cbrt (sin y))
98.0ms	(cbrt (sin y))

simplify93.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (87.0ms)

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

prune244.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes152.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b 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

sample1.6s

Algorithm

intervals

Results

632.0ms	1500×	body	1280	valid
351.0ms	1339×	body	640	valid
249.0ms	4218×	body	80	valid
107.0ms	617×	body	320	valid
40.0ms	326×	body	160	valid