Details

sample11.0ms

Algorithm

intervals

Results

5.0ms

355×

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

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)

rewrite5.0ms

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:

5.0ms

(* (* x 3.0) x)

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

(* (* x 3.0) x)

simplify52.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 3 (50.0ms)

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

prune33.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

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)))
18.9b	(sqrt (* (* x 3.0) x))
18.9b	(sqrt (* (* x 3.0) x))

rewrite27.0ms

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:

5.0ms	(* (* x 3.0) x)
11.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
3.0ms	(sqrt (* (* x 3.0) x))
4.0ms	(sqrt (* (* x 3.0) x))

series227.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (* x 3.0) x)
115.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
33.0ms	(sqrt (* (* x 3.0) x))
38.0ms	(sqrt (* (* x 3.0) x))

simplify43.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (36.0ms)

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

prune141.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
18.9b	(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
18.9b	(sqrt (* (* x 3.0) x))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

29×	`pow1`
16×	`pow-prod-down`
9×	`sqrt-pow1`
6×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
2×	`pow1/2` `pow1/3` `sqrt-prod`

Counts

4 → 49

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
10.0ms	(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
4.0ms	(sqrt (* (* x 3.0) x))

series464.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt x)
186.0ms	(cbrt x)
63.0ms	(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
39.0ms	(sqrt (* (* x 3.0) x))

simplify134.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	83	218
1	202	203
2	622	159
3	3627	159
4	5002	159

prune346.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x))))
18.9b	(sqrt (* (* x 3.0) x))
18.9b	(sqrt (* (* x 3.0) x))
18.9b	(sqrt (* (* x 3.0) x))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

157×	`pow1`
149×	`sqrt-pow1`
82×	`pow-prod-down`
29×	`sqrt-prod`
24×	`add-sqr-sqrt`
23×	`pow1/2`
21×	`pow-prod-up`
13×	`pow-sqr`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`swap-sqr`
7×	`associate-r` `associate-l`
6×	`add-exp-log` `add-cbrt-cube`
4×	`add-log-exp` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 124

Calls

4 calls:

16.0ms	(* (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x))))
3.0ms	(sqrt (* (* x 3.0) x))
4.0ms	(sqrt (* (* x 3.0) x))
4.0ms	(sqrt (* (* x 3.0) x))

series140.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x))))
33.0ms	(sqrt (* (* x 3.0) x))
33.0ms	(sqrt (* (* x 3.0) x))
37.0ms	(sqrt (* (* x 3.0) x))

simplify167.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 3 (159.0ms)

Iter	Nodes	Cost
0	135	483
1	545	444
2	3369	420
3	5002	399

prune177.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes57.0ms

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

sample261.0ms

Algorithm

intervals

Results

148.0ms

10588×

body

valid