Details

sample16.0ms

Algorithm

intervals

Results

10.0ms

329×

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

localize5.0ms

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)

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(* (* x 3.0) x)

simplify54.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 3 (52.0ms)

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

prune27.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize8.0ms

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)))
17.6b	(sqrt (* (* x 3.0) x))
17.6b	(sqrt (* (* x 3.0) x))

rewrite71.0ms

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)
50.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
5.0ms	(sqrt (* (* x 3.0) x))
5.0ms	(sqrt (* (* x 3.0) x))

series201.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (* x 3.0) x)
69.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
52.0ms	(sqrt (* (* x 3.0) x))
56.0ms	(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

prune143.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
17.6b	(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
17.6b	(sqrt (* (* x 3.0) x))

rewrite55.0ms

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:

0.0ms	(cbrt x)
1.0ms	(cbrt x)
48.0ms	(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
5.0ms	(sqrt (* (* x 3.0) x))

series459.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt x)
177.0ms	(cbrt x)
67.0ms	(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
35.0ms	(sqrt (* (* x 3.0) x))

simplify138.0ms

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

prune169.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 3.0) x)
0.6b	(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
17.6b	(sqrt (* (* x 3.0) x))
17.6b	(sqrt (* (* x 3.0) x))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

29×	`pow1`
14×	`sqrt-pow1`
12×	`pow-prod-down` `sqrt-prod`
10×	`add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
7×	`unpow-prod-down` `pow-pow` `cube-prod`
4×	`pow1/2` `add-log-exp`
3×	`pow-unpow` `associate-r` `prod-exp` `cbrt-unprod`
1×	`cube-mult` `pow-to-exp` `unpow3` `associate-l` `pow-exp` `*-commutative` `sqrt-pow2` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 80

Calls

4 calls:

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

series284.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (* x 3.0) x)
186.0ms	(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
33.0ms	(sqrt (* (* x 3.0) x))
37.0ms	(sqrt (* (* x 3.0) x))

simplify51.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	326	435
1	1420	391
2	5001	369

prune171.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.0b

regimes77.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	2
1	6	2

end0.0ms

sample435.0ms

Algorithm

intervals

Results

323.0ms

10598×

body

valid