Details

sample62.0ms

Algorithm

intervals

Results

28.0ms	62×	body	1280	valid
10.0ms	37×	body	640	valid
8.0ms	126×	body	80	valid
3.0ms	19×	body	320	valid
2.0ms	12×	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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x (cos y)) (* z (sin y)))
0.2b	(* x (cos y))
0.2b	(* z (sin y))

rewrite12.0ms

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

series150.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(- (* x (cos y)) (* z (sin y)))
36.0ms	(* x (cos y))
43.0ms	(* z (sin y))

simplify58.0ms

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

prune139.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

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))

rewrite12.0ms

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))

series461.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
98.0ms	(cbrt (cos y))
100.0ms	(cbrt (cos y))
99.0ms	(cbrt (cos y))

simplify101.0ms

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

prune278.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (sin y))
0.3b	(pow (cos y) 2)
0.3b	(cbrt (cos y))
0.4b	(cbrt (pow (cos y) 2))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

4.0ms	(* z (sin y))
3.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))
2.0ms	(cbrt (pow (cos y) 2))

series321.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* z (sin y))
23.0ms	(pow (cos y) 2)
100.0ms	(cbrt (cos y))
160.0ms	(cbrt (pow (cos y) 2))

simplify96.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (91.0ms)

Iter	Nodes	Cost
0	203	304
1	699	264
2	2842	255
3	5002	254

prune251.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(log (exp (cbrt (cos y))))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`log-pow`
6×	`exp-prod`
5×	`pow1`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`log-prod` `pow1/3`
1×	`rem-log-exp`

Counts

4 → 51

Calls

4 calls:

3.0ms	(log (exp (cbrt (cos y))))
1.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series402.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(log (exp (cbrt (cos y))))
100.0ms	(cbrt (cos y))
101.0ms	(cbrt (cos y))
100.0ms	(cbrt (cos y))

simplify114.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 4 (110.0ms)

Iter	Nodes	Cost
0	79	264
1	183	239
2	525	231
3	2521	231
4	5001	227

prune224.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes190.0ms

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

626.0ms	1520×	body	1280	valid
314.0ms	1213×	body	640	valid
254.0ms	4325×	body	80	valid
115.0ms	621×	body	320	valid
39.0ms	321×	body	160	valid