Details

sample58.0ms

Algorithm

intervals

Results

22.0ms	51×	body	1280	valid
11.0ms	40×	body	640	valid
10.0ms	138×	body	80	valid
4.0ms	19×	body	320	valid
1.0ms	8×	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 (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))
4.0ms	(* x (sin y))

series152.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(+ (* x (sin y)) (* z (cos y)))
35.0ms	(* z (cos y))
42.0ms	(* x (sin y))

simplify70.0ms

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

prune143.0ms

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))

series457.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
99.0ms	(cbrt (cos y))
99.0ms	(cbrt (cos y))
99.0ms	(cbrt (cos y))

simplify99.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (93.0ms)

Iter	Nodes	Cost
0	122	441
1	481	389
2	3180	357
3	5001	352

prune255.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
0.3b	(pow (cos y) 2)
0.3b	(cbrt (cos y))
0.3b	(cbrt (pow (cos y) 2))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

13.0ms	(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
1.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (pow (cos y) 2))

series316.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
22.0ms	(pow (cos y) 2)
100.0ms	(cbrt (cos y))
158.0ms	(cbrt (pow (cos y) 2))

simplify39.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	233	421
1	1070	364
2	5001	345

prune235.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (* (cbrt (pow (cos y) 2)) (cbrt (pow (cos y) 2))))
0.3b	(cbrt (pow (cos y) 2))
0.3b	(cbrt (pow (cos y) 2))
0.3b	(cbrt (pow (cos y) 2))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`unpow2` `sqr-pow`

Counts

4 → 57

Calls

4 calls:

5.0ms	(cbrt (* (cbrt (pow (cos y) 2)) (cbrt (pow (cos y) 2))))
1.0ms	(cbrt (pow (cos y) 2))
1.0ms	(cbrt (pow (cos y) 2))
1.0ms	(cbrt (pow (cos y) 2))

series795.0ms

Counts

4 → 12

Calls

4 calls:

317.0ms	(cbrt (* (cbrt (pow (cos y) 2)) (cbrt (pow (cos y) 2))))
158.0ms	(cbrt (pow (cos y) 2))
160.0ms	(cbrt (pow (cos y) 2))
159.0ms	(cbrt (pow (cos y) 2))

simplify51.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (46.0ms)

Iter	Nodes	Cost
0	111	431
1	326	381
2	997	363
3	5001	360

prune268.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes107.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	10
1	17	10

end0.0ms

sample1.8s

Algorithm

intervals

Results

722.0ms	1587×	body	1280	valid
355.0ms	1259×	body	640	valid
312.0ms	4260×	body	80	valid
113.0ms	580×	body	320	valid
50.0ms	314×	body	160	valid