Details

sample52.0ms

Algorithm

intervals

Results

20.0ms	47×	body	1280	valid
9.0ms	35×	body	640	valid
8.0ms	141×	body	80	valid
3.0ms	19×	body	320	valid
2.0ms	14×	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

localize10.0ms

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

series142.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(- (* x (cos y)) (* z (sin y)))
35.0ms	(* z (sin y))
41.0ms	(* 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

prune132.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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:

157.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
95.0ms	(cbrt (cos y))
94.0ms	(cbrt (cos y))
94.0ms	(cbrt (cos y))

simplify104.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (98.0ms)

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

prune258.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (pow (pow (cos y) 2) 1/3))
0.1b	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
0.3b	(pow (cos y) 2)
0.3b	(cbrt (cos y))

rewrite36.0ms

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:

14.0ms	(* x (pow (pow (cos y) 2) 1/3))
16.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
1.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series244.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* x (pow (pow (cos y) 2) 1/3))
40.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
16.0ms	(pow (cos y) 2)
96.0ms	(cbrt (cos y))

simplify47.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	320	575
1	1409	501
2	5001	468

prune291.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (pow (cos y) 2) 2/3)
0.3b	(pow (cos y) 2)
0.3b	(pow (cos y) 2)
0.3b	(cbrt (cos y))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

17×	`unpow-prod-down`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`pow-unpow`
8×	`add-exp-log`
6×	`pow1` `pow-exp`
4×	`pow-to-exp` `add-cbrt-cube` `add-log-exp` `sqr-pow`
3×	`cbrt-prod` `pow-pow` `unpow2`
1×	`pow1/3`

Counts

4 → 71

Calls

4 calls:

3.0ms	(pow (pow (cos y) 2) 2/3)
1.0ms	(pow (cos y) 2)
1.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series243.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(pow (pow (cos y) 2) 2/3)
16.0ms	(pow (cos y) 2)
23.0ms	(pow (cos y) 2)
94.0ms	(cbrt (cos y))

simplify95.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 3 (89.0ms)

Iter	Nodes	Cost
0	194	316
1	682	262
2	2709	260
3	5002	256

prune276.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes120.0ms

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	24	17
1	24	17

end0.0ms

sample1.8s

Algorithm

intervals

Results

832.0ms	1469×	body	1280	valid
369.0ms	1346×	body	640	valid
239.0ms	4228×	body	80	valid
126.0ms	617×	body	320	valid
43.0ms	340×	body	160	valid