Details

sample47.0ms

Algorithm

intervals

Results

15.0ms	37×	body	1280	valid
11.0ms	43×	body	640	valid
8.0ms	154×	body	80	valid
2.0ms	12×	body	320	valid
1.0ms	10×	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

localize9.0ms

Local error

Found 3 expressions with local error:

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

Counts

3 → 48

Calls

3 calls:

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

series152.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(- (* x (cos y)) (* z (sin y)))
36.0ms	(* x (cos y))
44.0ms	(* z (sin 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

prune149.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

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))

series477.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
104.0ms	(cbrt (cos y))
102.0ms	(cbrt (cos y))
104.0ms	(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

prune290.0ms

Pruning

14 alts after pruning (14 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))

rewrite39.0ms

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:

13.0ms	(* x (pow (pow (cos y) 2) 1/3))
21.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
1.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series265.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(* x (pow (pow (cos y) 2) 1/3))
44.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
17.0ms	(pow (cos y) 2)
102.0ms	(cbrt (cos y))

simplify48.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	320	572
1	1417	499
2	5002	468

prune323.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x (pow (pow (cos y) 2) 1/3)) (log (exp (cbrt (cos y)))))
0.2b	(log (exp (cbrt (cos y))))
0.3b	(pow (cos y) 2)
0.3b	(cbrt (cos y))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log`
15×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
14×	`log-pow`
12×	`exp-prod`
11×	`prod-exp` `add-cbrt-cube`
10×	`associate-r`
9×	`pow1` `cbrt-prod` `log-prod`
5×	`pow-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`distribute-rgt-in` `pow-to-exp` `unpow-prod-down` `pow-unpow` `distribute-lft-in`
1×	`pow-pow` `unpow1/3` `pow1/3` `rem-log-exp` `associate-l` `pow-prod-down` `*-commutative` `unpow2` `sqr-pow`

Counts

4 → 82

Calls

4 calls:

26.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (log (exp (cbrt (cos y)))))
2.0ms	(log (exp (cbrt (cos y))))
1.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series265.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (log (exp (cbrt (cos y)))))
102.0ms	(log (exp (cbrt (cos y))))
17.0ms	(pow (cos y) 2)
102.0ms	(cbrt (cos y))

simplify45.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	304	645
1	1290	531
2	5002	506

prune312.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

regimes243.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	12
1	19	12

end0.0ms

sample1.5s

Algorithm

intervals

Results

621.0ms	1515×	body	1280	valid
319.0ms	1235×	body	640	valid
237.0ms	4288×	body	80	valid
116.0ms	650×	body	320	valid
37.0ms	312×	body	160	valid