Details

sample13.0ms

Algorithm

intervals

Results

8.0ms

335×

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)

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:

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

prune28.0ms

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)
0.3b	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
18.5b	(sqrt (* (* x 3.0) x))
18.5b	(sqrt (* (* x 3.0) x))

rewrite60.0ms

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)
36.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
5.0ms	(sqrt (* (* x 3.0) x))
5.0ms	(sqrt (* (* x 3.0) x))

series168.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (* x 3.0) x)
71.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
33.0ms	(sqrt (* (* x 3.0) x))
34.0ms	(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

prune122.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x))))
18.5b	(sqrt (* (* x 3.0) x))
18.5b	(sqrt (* (* x 3.0) x))
18.5b	(sqrt (* (* x 3.0) x))

rewrite68.0ms

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:

46.0ms	(* (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x))))
5.0ms	(sqrt (* (* x 3.0) x))
5.0ms	(sqrt (* (* x 3.0) x))
5.0ms	(sqrt (* (* x 3.0) x))

series149.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x))))
34.0ms	(sqrt (* (* x 3.0) x))
34.0ms	(sqrt (* (* x 3.0) x))
40.0ms	(sqrt (* (* x 3.0) x))

simplify199.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 3 (190.0ms)

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

prune173.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

18.5b	(sqrt (* (* x 3.0) x))
18.5b	(sqrt (* (* x 3.0) x))
18.5b	(sqrt (* (* x 3.0) x))
18.5b	(sqrt (* (* x 3.0) x))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

28×	`pow1`
12×	`sqrt-pow1` `pow-prod-down`
4×	`add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `pow1/2` `sqrt-prod` `add-cbrt-cube` `add-log-exp`

Counts

4 → 48

Calls

4 calls:

5.0ms	(sqrt (* (* x 3.0) x))
5.0ms	(sqrt (* (* x 3.0) x))
5.0ms	(sqrt (* (* x 3.0) x))
8.0ms	(sqrt (* (* x 3.0) x))

series154.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(sqrt (* (* x 3.0) x))
32.0ms	(sqrt (* (* x 3.0) x))
38.0ms	(sqrt (* (* x 3.0) x))
34.0ms	(sqrt (* (* x 3.0) x))

simplify117.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	32	180
1	57	172
2	84	172
3	103	172
4	122	172
5	176	172
6	603	172
7	1834	172
8	5001	172

prune164.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes46.0ms

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

sample363.0ms

Algorithm

intervals

Results

252.0ms

10712×

body

valid