Details

sample11.0ms

Algorithm

intervals

Results

5.0ms

353×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	2
1	10	2
2	10	2

prune1.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x 3.0) x)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 18

Calls

1 calls:

7.0ms

(* (* x 3.0) x)

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

(* (* x 3.0) x)

simplify53.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 3 (51.0ms)

Iter	Nodes	Cost
0	94	72
1	433	57
2	2295	57
3	5001	56

prune27.0ms

Filtered

21 candidates to 10 candidates (47.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 3.0) x)
0.3b	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
20.8b	(sqrt (* (* x 3.0) x))
20.8b	(sqrt (* (* x 3.0) x))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
80×	`pow-prod-down`
66×	`sqrt-pow1`
17×	`pow-prod-up`
14×	`pow1/2`
11×	`add-exp-log` `add-sqr-sqrt` `pow-sqr` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
6×	`sqrt-prod`
5×	`associate-l`
4×	`swap-sqr` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`*-commutative`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

9.0ms	(* (* x 3.0) x)
39.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
5.0ms	(sqrt (* (* x 3.0) x))
5.0ms	(sqrt (* (* x 3.0) x))

series161.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (* x 3.0) x)
65.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
37.0ms	(sqrt (* (* x 3.0) x))
33.0ms	(sqrt (* (* x 3.0) x))

simplify43.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	177	368
1	939	307
2	5001	296

prune130.0ms

Filtered

120 candidates to 50 candidates (41.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt (sqrt (* (* x 3.0) x))) (pow (sqrt (sqrt (* (* x 3.0) x))) 3))
0.5b	(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
20.8b	(sqrt (* (* x 3.0) x))
20.8b	(sqrt (* (* x 3.0) x))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
37×	`sqrt-prod`
25×	`pow1`
20×	`associate-r`
18×	`unpow-prod-down` `cube-prod`
16×	`add-cube-cbrt` `*-un-lft-identity`
14×	`sqrt-pow1`
12×	`unswap-sqr`
10×	`add-exp-log`
9×	`pow-prod-down`
7×	`pow-pow` `associate-l` `add-cbrt-cube`
4×	`pow1/2` `add-log-exp` `sqr-pow`
3×	`pow-unpow` `prod-exp`
2×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp`
1×	`*-commutative` `pow-prod-up` `sqrt-pow2` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 114

Calls

4 calls:

37.0ms	(* (sqrt (sqrt (* (* x 3.0) x))) (pow (sqrt (sqrt (* (* x 3.0) x))) 3))
8.0ms	(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
6.0ms	(sqrt (* (* x 3.0) x))
8.0ms	(sqrt (* (* x 3.0) x))

series319.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (sqrt (sqrt (* (* x 3.0) x))) (pow (sqrt (sqrt (* (* x 3.0) x))) 3))
182.0ms	(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
33.0ms	(sqrt (* (* x 3.0) x))
37.0ms	(sqrt (* (* x 3.0) x))

simplify64.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	323	1052
1	1595	756
2	5001	666

prune206.0ms

Filtered

126 candidates to 63 candidates (50.0%)

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.4b	(pow (sqrt (sqrt (* (* x 3.0) x))) 3/2)
20.8b	(sqrt (* (* x 3.0) x))
20.8b	(sqrt (* (* x 3.0) x))
20.8b	(sqrt (* (* x 3.0) x))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

30×	`pow1`
17×	`sqrt-pow1`
12×	`pow-prod-down`
8×	`sqrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `pow-pow` `*-un-lft-identity`
5×	`add-exp-log` `pow1/2`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
1×	`pow-to-exp` `pow-exp` `sqrt-pow2` `sqr-pow`

Counts

4 → 64

Calls

4 calls:

7.0ms	(pow (sqrt (sqrt (* (* x 3.0) x))) 3/2)
5.0ms	(sqrt (* (* x 3.0) x))
5.0ms	(sqrt (* (* x 3.0) x))
5.0ms	(sqrt (* (* x 3.0) x))

series386.0ms

Counts

4 → 12

Calls

4 calls:

280.0ms	(pow (sqrt (sqrt (* (* x 3.0) x))) 3/2)
36.0ms	(sqrt (* (* x 3.0) x))
33.0ms	(sqrt (* (* x 3.0) x))
37.0ms	(sqrt (* (* x 3.0) x))

simplify101.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	240	387
1	821	366
2	3594	356
3	5002	356

prune180.0ms

Filtered

76 candidates to 51 candidates (67.1%)

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes43.0ms

Accuracy

0% (0.1b 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	6	2
1	6	2

end0.0ms

sample254.0ms

Algorithm

intervals

Results

149.0ms

10633×

body

valid