Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

345×

body

valid

simplify25.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x 3.0) x)

rewrite19.0ms

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:

19.0ms

(* (* x 3.0) x)

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

(* (* x 3.0) x)

simplify857.0ms

Counts: 21 → 21

prune49.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize15.0ms

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)))
17.1b	(sqrt (* (* x 3.0) x))
17.1b	(sqrt (* (* x 3.0) x))

rewrite219.0ms

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:

19.0ms	(* (* x 3.0) x)
149.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
12.0ms	(sqrt (* (* x 3.0) x))
34.0ms	(sqrt (* (* x 3.0) x))

series258.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (* x 3.0) x)
92.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
72.0ms	(sqrt (* (* x 3.0) x))
45.0ms	(sqrt (* (* x 3.0) x))

simplify764.0ms

Counts: 120 → 120

prune223.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x))))
17.1b	(sqrt (* (* x 3.0) x))
17.1b	(sqrt (* (* x 3.0) x))
17.1b	(sqrt (* (* x 3.0) x))

rewrite221.0ms

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:

169.0ms	(* (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x))))
12.0ms	(sqrt (* (* x 3.0) x))
13.0ms	(sqrt (* (* x 3.0) x))
16.0ms	(sqrt (* (* x 3.0) x))

series231.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x))))
59.0ms	(sqrt (* (* x 3.0) x))
52.0ms	(sqrt (* (* x 3.0) x))
58.0ms	(sqrt (* (* x 3.0) x))

simplify567.0ms

Counts: 136 → 136

prune303.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (pow (sqrt (sqrt (* (* x 3.0) x))) 3) (sqrt (sqrt (* (* x 3.0) x))))
0.6b	(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
17.1b	(sqrt (* (* x 3.0) x))
17.1b	(sqrt (* (* x 3.0) x))

rewrite246.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
37×	`sqrt-prod`
25×	`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×	`pow-plus` `*-commutative` `pow-prod-up` `sqrt-pow2` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 115

Calls

4 calls:

146.0ms	(* (pow (sqrt (sqrt (* (* x 3.0) x))) 3) (sqrt (sqrt (* (* x 3.0) x))))
33.0ms	(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
27.0ms	(sqrt (* (* x 3.0) x))
33.0ms	(sqrt (* (* x 3.0) x))

series549.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(* (pow (sqrt (sqrt (* (* x 3.0) x))) 3) (sqrt (sqrt (* (* x 3.0) x))))
306.0ms	(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
52.0ms	(sqrt (* (* x 3.0) x))
56.0ms	(sqrt (* (* x 3.0) x))

simplify1.0s

Counts: 127 → 127

prune316.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0b

regimes72.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify16.0ms

end0.0ms

sample561.0ms

Algorithm

intervals

Results

297.0ms

10743×

body

valid