Details

sample52.0ms

Algorithm

intervals

Results

21.0ms	52×	body	1280	valid
10.0ms	39×	body	640	valid
7.0ms	139×	body	80	valid
2.0ms	13×	body	320	valid
2.0ms	13×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (sin y)) (* z (cos y)))
0.1b	(* x (sin y))
0.1b	(* z (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×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 47

Calls

3 calls:

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

series149.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(+ (* x (sin y)) (* z (cos y)))
41.0ms	(* x (sin y))
36.0ms	(* z (cos y))

simplify74.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	185	250
1	702	229
2	2218	229
3	5001	229

prune152.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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))

series451.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
96.0ms	(cbrt (cos y))
96.0ms	(cbrt (cos y))
101.0ms	(cbrt (cos y))

simplify100.0ms

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

prune266.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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	(cbrt (cos y))
0.3b	(pow (cos y) 2)

rewrite34.0ms

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))
17.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(pow (cos y) 2)

series245.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* z (pow (pow (cos y) 2) 1/3))
36.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
96.0ms	(cbrt (cos y))
19.0ms	(pow (cos y) 2)

simplify45.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	320	572
1	1417	499
2	5001	468

prune305.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

88×	`unpow-prod-down`
51×	`add-sqr-sqrt`
42×	`pow-exp`
36×	`add-exp-log` `unswap-sqr`
30×	`sqr-pow`
25×	`prod-exp`
22×	`pow-to-exp`
16×	`unpow2`
15×	`add-cube-cbrt` `*-un-lft-identity`
12×	`associate-r` `associate-l`
7×	`add-cbrt-cube`
6×	`pow1` `pow-unpow`
4×	`add-log-exp`
3×	`cbrt-prod`
2×	`pow-pow` `cbrt-unprod`
1×	`unpow1/3` `pow1/3` `*-commutative` `pow-prod-up`

Counts

4 → 143

Calls

4 calls:

23.0ms	(* (pow (pow (cos y) 2) 2/3) (pow (pow (cos y) 2) 1/3))
1.0ms	(cbrt (cos y))
1.0ms	(pow (cos y) 2)
1.0ms	(pow (cos y) 2)

series150.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* (pow (pow (cos y) 2) 2/3) (pow (pow (cos y) 2) 1/3))
95.0ms	(cbrt (cos y))
16.0ms	(pow (cos y) 2)
21.0ms	(pow (cos y) 2)

simplify50.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	370	1086
1	1472	878
2	5001	775

prune435.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

regimes150.0ms

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	26	21
1	26	21

end0.0ms

sample1.5s

Algorithm

intervals

Results

630.0ms	1502×	body	1280	valid
326.0ms	1278×	body	640	valid
233.0ms	4280×	body	80	valid
108.0ms	614×	body	320	valid
43.0ms	326×	body	160	valid