Details

sample55.0ms

Algorithm

intervals

Results

22.0ms	53×	body	1280	valid
10.0ms	38×	body	640	valid
8.0ms	135×	body	80	valid
4.0ms	21×	body	320	valid
1.0ms	9×	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

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×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 47

Calls

3 calls:

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

series138.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(+ (* x (cos y)) (* z (sin y)))
35.0ms	(* z (sin y))
36.0ms	(* x (cos y))

simplify70.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	183	248
1	698	227
2	2213	227
3	5001	227

prune142.0ms

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))

series440.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
95.0ms	(cbrt (cos y))
98.0ms	(cbrt (cos y))
94.0ms	(cbrt (cos y))

simplify101.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (96.0ms)

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

prune269.0ms

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)))
2.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (pow (cos y) 2))

series305.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
16.0ms	(pow (cos y) 2)
95.0ms	(cbrt (cos y))
155.0ms	(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	1069	364
2	5001	345

prune245.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

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))
2.0ms	(cbrt (pow (cos y) 2))

series585.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(cbrt (* (cbrt (pow (cos y) 2)) (cbrt (pow (cos y) 2))))
152.0ms	(cbrt (pow (cos y) 2))
153.0ms	(cbrt (pow (cos y) 2))
155.0ms	(cbrt (pow (cos y) 2))

simplify49.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (44.0ms)

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

prune266.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

regimes154.0ms

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	17	10
1	17	10

end0.0ms

sample1.6s

Algorithm

intervals

Results

652.0ms	1560×	body	1280	valid
318.0ms	1243×	body	640	valid
237.0ms	4235×	body	80	valid
116.0ms	641×	body	320	valid
39.0ms	321×	body	160	valid