Details

sample54.0ms

Algorithm

intervals

Results

22.0ms	53×	body	1280	valid
10.0ms	38×	body	640	valid
7.0ms	135×	body	80	valid
4.0ms	21×	body	320	valid
1.0ms	9×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	5
1	19	5
2	19	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x (cos y)) (* z (sin y)))
0.1b	(* z (sin y))
0.1b	(* x (cos 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×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 48

Calls

3 calls:

3.0ms	(- (* x (cos y)) (* z (sin y)))
3.0ms	(* z (sin y))
4.0ms	(* x (cos y))

series141.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(- (* x (cos y)) (* z (sin y)))
36.0ms	(* z (sin y))
36.0ms	(* x (cos y))

simplify62.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	174	254
1	636	233
2	2041	233
3	5001	233

prune144.0ms

Pruning

11 alts after pruning (11 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))

series435.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
94.0ms	(cbrt (cos y))
96.0ms	(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

prune268.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
0.2b	(pow (cos y) 2)
0.3b	(cbrt (cos y))
0.3b	(cbrt (pow (cos y) 2))

rewrite19.0ms

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:

14.0ms	(* (* x (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))

series298.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
16.0ms	(pow (cos y) 2)
93.0ms	(cbrt (cos y))
152.0ms	(cbrt (pow (cos y) 2))

simplify40.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	233	421
1	1069	364
2	5001	345

prune246.0ms

Pruning

13 alts after pruning (12 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))

series591.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(cbrt (* (cbrt (pow (cos y) 2)) (cbrt (pow (cos y) 2))))
156.0ms	(cbrt (pow (cos y) 2))
152.0ms	(cbrt (pow (cos y) 2))
155.0ms	(cbrt (pow (cos y) 2))

simplify52.0ms

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

prune279.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

regimes153.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	10
1	16	10

end0.0ms

sample1.6s

Algorithm

intervals

Results

676.0ms	1560×	body	1280	valid
333.0ms	1243×	body	640	valid
232.0ms	4235×	body	80	valid
118.0ms	641×	body	320	valid
45.0ms	321×	body	160	valid