Details

sample40.0ms

Algorithm

intervals

Results

13.0ms	33×	body	1280	valid
9.0ms	183×	body	80	valid
5.0ms	21×	body	640	valid
2.0ms	12×	body	320	valid
1.0ms	7×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	5
1	20	5
2	22	5
3	22	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (sin y))
0.1b	(* z (cos y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `associate-l`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

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

series63.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(+ x (sin y))
39.0ms	(* z (cos y))

simplify107.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	125	129
1	358	114
2	805	114
3	1557	114
4	4463	114
5	5001	114

prune85.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

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))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series460.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
106.0ms	(cbrt (cos y))
96.0ms	(cbrt (cos y))
95.0ms	(cbrt (cos y))

simplify97.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (92.0ms)

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

prune229.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

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:

12.0ms	(* z (pow (pow (cos y) 2) 1/3))
9.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
3.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series234.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(* z (pow (pow (cos y) 2) 1/3))
34.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
16.0ms	(pow (cos y) 2)
94.0ms	(cbrt (cos y))

simplify48.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (36.0ms)

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

prune259.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (* z (pow (fabs (cos y)) 1/3)) (pow (sqrt (pow (cos y) 2)) 1/3)) (cbrt (cos y)))
0.2b	(* (* z (pow (fabs (cos y)) 1/3)) (pow (sqrt (pow (cos y) 2)) 1/3))
0.3b	(pow (cos y) 2)
0.3b	(cbrt (cos y))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

71×	`add-exp-log`
55×	`prod-exp`
27×	`add-cbrt-cube` `cbrt-unprod`
21×	`associate-r`
17×	`unpow-prod-down`
15×	`pow-to-exp` `pow-exp`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`unpow1/3`
8×	`sqrt-prod`
7×	`pow1`
6×	`cbrt-prod`
4×	`add-log-exp`
3×	`pow-unpow` `sqr-pow`
2×	`associate-l` `*-commutative` `unpow2`
1×	`pow-pow` `pow1/3` `pow-prod-down`

Counts

4 → 107

Calls

4 calls:

13.0ms	(* (* (* z (pow (fabs (cos y)) 1/3)) (pow (sqrt (pow (cos y) 2)) 1/3)) (cbrt (cos y)))
11.0ms	(* (* z (pow (fabs (cos y)) 1/3)) (pow (sqrt (pow (cos y) 2)) 1/3))
3.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series307.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(* (* (* z (pow (fabs (cos y)) 1/3)) (pow (sqrt (pow (cos y) 2)) 1/3)) (cbrt (cos y)))
83.0ms	(* (* z (pow (fabs (cos y)) 1/3)) (pow (sqrt (pow (cos y) 2)) 1/3))
22.0ms	(pow (cos y) 2)
96.0ms	(cbrt (cos y))

simplify64.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	463	1168
1	2259	955
2	5001	784

prune295.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes85.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	15
1	23	15

end0.0ms

sample1.2s

Algorithm

intervals

Results

393.0ms	955×	body	1280	valid
297.0ms	5638×	body	80	valid
227.0ms	834×	body	640	valid
67.0ms	369×	body	320	valid
25.0ms	204×	body	160	valid