Details

sample68.0ms

Algorithm

intervals

Results

26.0ms	60×	body	1280	valid
13.0ms	46×	body	640	valid
10.0ms	117×	body	80	valid
7.0ms	22×	body	320	valid
2.0ms	11×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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 2 expressions with local error:

0.1b	(* z (sin y))
0.2b	(* x (cos y))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

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

series78.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(* z (sin y))
36.0ms	(* x (cos y))

simplify91.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	118	145
1	439	125
2	1037	125
3	1579	125
4	3660	125
5	5002	125

prune105.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (cos y)) (cbrt (cos y)))
0.4b	(cbrt (cos y))
0.4b	(cbrt (cos y))
0.4b	(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))

series457.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
105.0ms	(cbrt (cos y))
97.0ms	(cbrt (cos y))
98.0ms	(cbrt (cos y))

simplify98.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (93.0ms)

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

prune249.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (pow (cos y) 2) 1/3)
0.2b	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
0.3b	(pow (cos y) 2)
0.4b	(cbrt (cos y))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
14×	`unpow-prod-down`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
11×	`prod-exp`
9×	`pow-exp`
8×	`add-cbrt-cube`
7×	`pow1`
6×	`cbrt-prod` `pow-unpow` `associate-r`
5×	`pow-to-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`sqr-pow`
2×	`pow-pow` `unpow1/3` `unpow2`
1×	`pow1/3` `associate-l` `pow-prod-down` `*-commutative`

Counts

4 → 79

Calls

4 calls:

3.0ms	(pow (pow (cos y) 2) 1/3)
18.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
1.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series310.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(pow (pow (cos y) 2) 1/3)
41.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
16.0ms	(pow (cos y) 2)
95.0ms	(cbrt (cos y))

simplify43.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	312	474
1	1319	403
2	5001	386

prune420.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* (pow (pow (cos y) 2) 1/3) (cbrt (cos y))))
0.2b	(* (pow (pow (cos y) 2) 1/3) (cbrt (cos y)))
0.3b	(pow (cos y) 2)
0.4b	(cbrt (cos y))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
28×	`add-exp-log`
24×	`unpow-prod-down`
16×	`prod-exp`
15×	`associate-l`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`cbrt-prod` `unswap-sqr`
10×	`add-cbrt-cube`
9×	`pow-exp`
7×	`pow1` `associate-r` `cbrt-unprod` `sqr-pow`
5×	`pow-to-exp`
4×	`unpow2` `add-log-exp`
3×	`pow-unpow`
2×	`unpow1/3` `pow1/3` `pow-prod-down` `*-commutative`
1×	`pow-pow`

Counts

4 → 97

Calls

4 calls:

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

series154.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* x (* (pow (pow (cos y) 2) 1/3) (cbrt (cos y))))
5.0ms	(* (pow (pow (cos y) 2) 1/3) (cbrt (cos y)))
16.0ms	(pow (cos y) 2)
94.0ms	(cbrt (cos y))

simplify46.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	326	733
1	1274	653
2	5001	596

prune279.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.0b

regimes190.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5

end0.0ms

sample1.8s

Algorithm

intervals

Results

708.0ms	1569×	body	1280	valid
344.0ms	4261×	body	80	valid
343.0ms	1233×	body	640	valid
118.0ms	598×	body	320	valid
48.0ms	339×	body	160	valid