Details

sample10.0ms

Algorithm

intervals

Results

4.0ms

341×

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)

simplify51.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 3 (49.0ms)

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

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)))
18.3b	(sqrt (* (* x 3.0) x))
18.3b	(sqrt (* (* x 3.0) x))

rewrite61.0ms

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)
40.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
5.0ms	(sqrt (* (* x 3.0) x))
5.0ms	(sqrt (* (* x 3.0) x))

series190.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (* x 3.0) x)
94.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
36.0ms	(sqrt (* (* x 3.0) x))
33.0ms	(sqrt (* (* x 3.0) x))

simplify41.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (34.0ms)

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

prune127.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 3.0) x)
0.3b	(* (sqrt (* (* x 3.0) x)) (sqrt (* x (* x 3.0))))
18.3b	(sqrt (* (* x 3.0) x))
18.3b	(sqrt (* x (* x 3.0)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

59×	`pow1`
38×	`pow-prod-down`
24×	`sqrt-pow1`
11×	`add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
5×	`associate-l`
4×	`pow1/2` `prod-exp` `sqrt-prod` `cbrt-unprod` `add-log-exp`
2×	`*-commutative`
1×	`sqrt-unprod` `unswap-sqr`

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (* x 3.0) x)
35.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* x (* x 3.0))))
5.0ms	(sqrt (* (* x 3.0) x))
4.0ms	(sqrt (* x (* x 3.0)))

series181.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (* x 3.0) x)
69.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* x (* x 3.0))))
51.0ms	(sqrt (* (* x 3.0) x))
36.0ms	(sqrt (* x (* x 3.0)))

simplify115.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	178	348
1	755	284
2	4013	267
3	5001	267

prune145.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (pow (sqrt (sqrt (* (* x 3.0) x))) 3) (sqrt (sqrt (* x (* x 3.0)))))
0.5b	(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
18.3b	(sqrt (* (* x 3.0) x))
18.3b	(sqrt (* x (* x 3.0)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
37×	`sqrt-prod`
24×	`pow1`
20×	`associate-l`
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-r` `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` `sqrt-pow2` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 113

Calls

4 calls:

32.0ms	(* (pow (sqrt (sqrt (* (* x 3.0) x))) 3) (sqrt (sqrt (* x (* x 3.0)))))
7.0ms	(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
5.0ms	(sqrt (* (* x 3.0) x))
4.0ms	(sqrt (* x (* x 3.0)))

series337.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(* (pow (sqrt (sqrt (* (* x 3.0) x))) 3) (sqrt (sqrt (* x (* x 3.0)))))
192.0ms	(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
37.0ms	(sqrt (* (* x 3.0) x))
35.0ms	(sqrt (* x (* x 3.0)))

simplify61.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	342	1059
1	1586	743
2	5001	653

prune218.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes58.0ms

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

sample270.0ms

Algorithm

intervals

Results

148.0ms

10683×

body

valid