Details

sample10.0ms

Algorithm

intervals

Results

4.0ms

348×

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:

6.0ms

(* (* x 3.0) x)

series24.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

(* (* x 3.0) x)

simplify57.0ms

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

prune25.0ms

Filtered

21 candidates to 10 candidates (47.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 3.0) x)
0.4b	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
16.7b	(sqrt (* (* x 3.0) x))
16.7b	(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:

6.0ms	(* (* x 3.0) x)
41.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
5.0ms	(sqrt (* (* x 3.0) x))
5.0ms	(sqrt (* (* x 3.0) x))

series163.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (* x 3.0) x)
69.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
38.0ms	(sqrt (* (* x 3.0) x))
33.0ms	(sqrt (* (* x 3.0) x))

simplify41.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (35.0ms)

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

prune131.0ms

Filtered

120 candidates to 49 candidates (40.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt (sqrt (* (* x 3.0) x))) (pow (sqrt (sqrt (* (* x 3.0) x))) 3))
0.6b	(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
16.7b	(sqrt (* (* x 3.0) x))
16.7b	(sqrt (* (* x 3.0) x))

rewrite58.0ms

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:

36.0ms	(* (sqrt (sqrt (* (* x 3.0) x))) (pow (sqrt (sqrt (* (* x 3.0) x))) 3))
7.0ms	(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
5.0ms	(sqrt (* (* x 3.0) x))
6.0ms	(sqrt (* (* x 3.0) x))

series324.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(* (sqrt (sqrt (* (* x 3.0) x))) (pow (sqrt (sqrt (* (* x 3.0) x))) 3))
184.0ms	(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
32.0ms	(sqrt (* (* x 3.0) x))
37.0ms	(sqrt (* (* x 3.0) x))

simplify65.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	323	1065
1	1617	760
2	5001	668

prune213.0ms

Filtered

126 candidates to 64 candidates (50.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.7b	(pow (sqrt (sqrt (sqrt (* (* x 3.0) x)))) 3)
16.7b	(sqrt (* (* x 3.0) x))
16.7b	(sqrt (* (* x 3.0) x))
16.7b	(sqrt (* (* x 3.0) x))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

31×	`pow1`
27×	`sqrt-prod`
24×	`sqrt-pow1`
12×	`pow-prod-down`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`unpow-prod-down` `cube-prod`
9×	`pow-pow`
6×	`pow1/2`
5×	`add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`pow-unpow`
1×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp` `sqrt-pow2` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 82

Calls

4 calls:

9.0ms	(pow (sqrt (sqrt (sqrt (* (* x 3.0) x)))) 3)
5.0ms	(sqrt (* (* x 3.0) x))
5.0ms	(sqrt (* (* x 3.0) x))
5.0ms	(sqrt (* (* x 3.0) x))

series430.0ms

Counts

4 → 12

Calls

4 calls:

324.0ms	(pow (sqrt (sqrt (sqrt (* (* x 3.0) x)))) 3)
39.0ms	(sqrt (* (* x 3.0) x))
33.0ms	(sqrt (* (* x 3.0) x))
34.0ms	(sqrt (* (* x 3.0) x))

simplify162.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	247	507
1	763	472
2	4010	456
3	5001	456

prune187.0ms

Filtered

94 candidates to 53 candidates (56.4%)

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes51.0ms

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

sample256.0ms

Algorithm

intervals

Results

139.0ms

10737×

body

valid