Details

sample43.0ms

Algorithm

intervals

Results

17.0ms	43×	body	1280	valid
8.0ms	172×	body	80	valid
6.0ms	25×	body	640	valid
2.0ms	12×	body	320	valid
0.0ms	4×	body	160	valid

simplify9.0ms

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

prune4.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite40.0ms

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:

5.0ms	(+ x (sin y))
28.0ms	(+ (+ x (sin y)) (* z (cos y)))
6.0ms	(* z (cos y))

series306.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(+ x (sin y))
38.0ms	(+ (+ x (sin y)) (* z (cos y)))
238.0ms	(* z (cos y))

simplify71.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (7.0ms)

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

prune123.0ms

Filtered

52 candidates to 37 candidates (71.2%)

Pruning

4 alts after pruning (3 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))

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))

series483.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
104.0ms	(cbrt (cos y))
111.0ms	(cbrt (cos y))
105.0ms	(cbrt (cos y))

simplify100.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (94.0ms)

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

prune235.0ms

Filtered

85 candidates to 60 candidates (70.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

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

series320.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(pow (pow (cos y) 2) 1/3)
42.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
16.0ms	(pow (cos y) 2)
99.0ms	(cbrt (cos y))

simplify47.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	312	474
1	1319	403
2	5001	388

prune242.0ms

Filtered

91 candidates to 52 candidates (57.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* z (* (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)
0.3b	(cbrt (cos y))

rewrite39.0ms

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:

19.0ms	(* z (* (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))

series172.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* z (* (pow (pow (cos y) 2) 1/3) (cbrt (cos y))))
6.0ms	(* (pow (pow (cos y) 2) 1/3) (cbrt (cos y)))
18.0ms	(pow (cos y) 2)
105.0ms	(cbrt (cos y))

simplify48.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (40.0ms)

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

prune316.0ms

Filtered

109 candidates to 68 candidates (62.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes132.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample1.2s

Algorithm

intervals

Results

416.0ms	957×	body	1280	valid
307.0ms	5641×	body	80	valid
202.0ms	800×	body	640	valid
70.0ms	404×	body	320	valid
24.0ms	197×	body	160	valid
1.0ms	1×	body	2560	valid