Details

sample11.0ms

Algorithm

intervals

Results

4.0ms

324×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune2.0ms

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×	`expm1-log1p-u` `associate-l` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

1 → 20

Calls

1 calls:

5.0ms

(* (* x 3.0) x)

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(* (* x 3.0) x)

simplify55.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (52.0ms)

Iter	Nodes	Cost
0	96	78
1	435	63
2	2298	63
3	5001	62

prune28.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

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×	`expm1-log1p-u` `swap-sqr` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `unswap-sqr`

Counts

4 → 116

Calls

4 calls:

5.0ms	(* (* x 3.0) x)
14.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
4.0ms	(sqrt (* (* x 3.0) x))
4.0ms	(sqrt (* (* x 3.0) x))

series230.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (* x 3.0) x)
89.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
56.0ms	(sqrt (* (* x 3.0) x))
43.0ms	(sqrt (* (* x 3.0) x))

simplify40.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	183	396
1	948	335
2	5001	324

prune147.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(* (cbrt x) (cbrt x))
20.8b	(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
20.8b	(sqrt (* (* x 3.0) x))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

36×	`pow1`
21×	`add-sqr-sqrt`
19×	`cbrt-prod`
18×	`pow-prod-down`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`sqrt-pow1`
7×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow1/2` `sqrt-prod` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 86

Calls

4 calls:

1.0ms	(cbrt x)
5.0ms	(* (cbrt x) (cbrt x))
10.0ms	(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
4.0ms	(sqrt (* (* x 3.0) x))

series480.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(cbrt x)
194.0ms	(* (cbrt x) (cbrt x))
67.0ms	(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
38.0ms	(sqrt (* (* x 3.0) x))

simplify133.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 3 (127.0ms)

Iter	Nodes	Cost
0	166	388
1	638	358
2	4188	291
3	5002	288

prune231.0ms

Pruning

9 alts after pruning (7 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))

rewrite31.0ms

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×	`expm1-log1p-u` `pow1/2` `log1p-expm1-u` `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 → 122

Calls

4 calls:

14.0ms	(* (sqrt (sqrt (* (* x 3.0) x))) (pow (sqrt (sqrt (* (* x 3.0) x))) 3))
6.0ms	(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
4.0ms	(sqrt (* (* x 3.0) x))
4.0ms	(sqrt (* (* x 3.0) x))

series335.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* (sqrt (sqrt (* (* x 3.0) x))) (pow (sqrt (sqrt (* (* x 3.0) x))) 3))
197.0ms	(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
34.0ms	(sqrt (* (* x 3.0) x))
37.0ms	(sqrt (* (* x 3.0) x))

simplify71.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	333	1102
1	1621	806
2	5002	713

prune219.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes65.0ms

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

sample234.0ms

Algorithm

intervals

Results

131.0ms

10687×

body

valid