Details

sample43.0ms

Algorithm

intervals

Results

12.0ms	31×	body	1280	valid
9.0ms	178×	body	80	valid
7.0ms	29×	body	640	valid
2.0ms	12×	body	320	valid
1.0ms	6×	body	160	valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune3.0ms

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 (sin y)) (* z (cos y)))
0.0b	(+ x (sin y))
0.2b	(* z (cos y))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 43

Calls

3 calls:

39.0ms	(+ (+ x (sin y)) (* z (cos y)))
7.0ms	(+ x (sin y))
10.0ms	(* z (cos y))

series107.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(+ (+ x (sin y)) (* z (cos y)))
26.0ms	(+ x (sin y))
36.0ms	(* z (cos y))

simplify81.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	196	244
1	694	228
2	2608	228
3	5001	228

prune142.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

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))

rewrite24.0ms

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:

18.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series502.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
104.0ms	(cbrt (cos y))
108.0ms	(cbrt (cos y))
113.0ms	(cbrt (cos y))

simplify113.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (106.0ms)

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

prune304.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite57.0ms

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:

9.0ms	(pow (pow (cos y) 2) 1/3)
41.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
3.0ms	(pow (cos y) 2)
2.0ms	(cbrt (cos y))

series334.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(pow (pow (cos y) 2) 1/3)
36.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
17.0ms	(pow (cos y) 2)
107.0ms	(cbrt (cos y))

simplify52.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (45.0ms)

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

prune297.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite61.0ms

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:

47.0ms	(* (pow (pow (cos y) 2) 2/3) (pow (pow (cos y) 2) 1/3))
3.0ms	(pow (cos y) 2)
3.0ms	(pow (cos y) 2)
2.0ms	(cbrt (cos y))

series168.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (pow (pow (cos y) 2) 2/3) (pow (pow (cos y) 2) 1/3))
17.0ms	(pow (cos y) 2)
17.0ms	(pow (cos y) 2)
110.0ms	(cbrt (cos y))

simplify60.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 2 (46.0ms)

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

prune482.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes131.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	17
1	26	17

end0.0ms

sample1.3s

Algorithm

intervals

Results

394.0ms	973×	body	1280	valid
294.0ms	5589×	body	80	valid
209.0ms	810×	body	640	valid
66.0ms	403×	body	320	valid
32.0ms	225×	body	160	valid