Details

sample10.0ms

Algorithm

intervals

Results

4.0ms

341×

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

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

Counts

1 → 20

Calls

1 calls:

7.0ms

(* (* x 3.0) x)

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

(* (* x 3.0) x)

simplify57.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (54.0ms)

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

prune32.0ms

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))

rewrite64.0ms

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:

6.0ms	(* (* x 3.0) x)
41.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
5.0ms	(sqrt (* (* x 3.0) x))
5.0ms	(sqrt (* (* x 3.0) x))

series162.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (* x 3.0) x)
65.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
37.0ms	(sqrt (* (* x 3.0) x))
34.0ms	(sqrt (* (* x 3.0) x))

simplify43.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (36.0ms)

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

prune155.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

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)))

rewrite59.0ms

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×	`expm1-log1p-u` `pow1/2` `prod-exp` `sqrt-prod` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative`
1×	`sqrt-unprod` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

9.0ms	(* (* x 3.0) x)
36.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* x (* x 3.0))))
5.0ms	(sqrt (* (* x 3.0) x))
5.0ms	(sqrt (* x (* x 3.0)))

series169.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (* x 3.0) x)
71.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* x (* x 3.0))))
35.0ms	(sqrt (* (* x 3.0) x))
35.0ms	(sqrt (* x (* x 3.0)))

simplify118.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	186	370
1	763	312
2	4022	295
3	5001	295

prune157.0ms

Pruning

8 alts after pruning (6 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)
18.3b	(sqrt (* (* x 3.0) x))
18.3b	(sqrt (* (* x 3.0) x))

rewrite63.0ms

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:

41.0ms	(* (sqrt (sqrt (* (* x 3.0) x))) (pow (sqrt (sqrt (* (* x 3.0) x))) 3))
8.0ms	(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
5.0ms	(sqrt (* (* x 3.0) x))
5.0ms	(sqrt (* (* x 3.0) x))

series337.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* (sqrt (sqrt (* (* x 3.0) x))) (pow (sqrt (sqrt (* (* x 3.0) x))) 3))
192.0ms	(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
41.0ms	(sqrt (* (* x 3.0) x))
34.0ms	(sqrt (* (* x 3.0) x))

simplify66.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (55.0ms)

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

prune212.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes56.0ms

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

sample240.0ms

Algorithm

intervals

Results

134.0ms

10683×

body

valid