Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

350×

body

valid

simplify2.0ms

Counts: 1 → 1

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)

rewrite18.0ms

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:

18.0ms

(* (* x 3.0) x)

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

(* (* x 3.0) x)

simplify48.0ms

Counts: 21 → 21

prune27.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize7.0ms

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)))
19.1b	(sqrt (* (* x 3.0) x))
19.1b	(sqrt (* (* x 3.0) x))

rewrite145.0ms

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:

17.0ms	(* (* x 3.0) x)
94.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
16.0ms	(sqrt (* (* x 3.0) x))
13.0ms	(sqrt (* (* x 3.0) x))

series192.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (* x 3.0) x)
80.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
37.0ms	(sqrt (* (* x 3.0) x))
40.0ms	(sqrt (* (* x 3.0) x))

simplify39.0ms

Counts: 120 → 120

prune141.0ms

Pruning

11 alts after pruning (9 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 3.0) x))))
0.5b	(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
19.1b	(sqrt (* (* x 3.0) x))
19.1b	(sqrt (* (* x 3.0) x))

rewrite124.0ms

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:

73.0ms	(* (pow (sqrt (sqrt (* (* x 3.0) x))) 3) (sqrt (sqrt (* (* x 3.0) x))))
17.0ms	(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
17.0ms	(sqrt (* (* x 3.0) x))
13.0ms	(sqrt (* (* x 3.0) x))

series354.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* (pow (sqrt (sqrt (* (* x 3.0) x))) 3) (sqrt (sqrt (* (* x 3.0) x))))
195.0ms	(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
37.0ms	(sqrt (* (* x 3.0) x))
45.0ms	(sqrt (* (* x 3.0) x))

simplify58.0ms

Counts: 127 → 127

prune237.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.4b	(pow (sqrt (sqrt (* (* x 3.0) x))) (/ 3 2))
0.5b	(pow (sqrt (sqrt (* (* x 3.0) x))) 5/2)
19.1b	(sqrt (* (* x 3.0) x))
19.1b	(sqrt (* (* x 3.0) x))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1`
22×	`sqrt-pow1`
16×	`add-sqr-sqrt` `add-cube-cbrt` `pow-unpow` `*-un-lft-identity`
14×	`unpow-prod-down` `pow-pow`
12×	`pow-prod-down` `sqrt-prod`
9×	`times-frac`
6×	`add-exp-log` `pow1/2`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-to-exp` `pow-exp` `sqrt-pow2` `sqr-pow`
1×	`div-inv`

Counts

4 → 90

Calls

4 calls:

18.0ms	(pow (sqrt (sqrt (* (* x 3.0) x))) (/ 3 2))
18.0ms	(pow (sqrt (sqrt (* (* x 3.0) x))) 5/2)
19.0ms	(sqrt (* (* x 3.0) x))
13.0ms	(sqrt (* (* x 3.0) x))

series644.0ms

Counts

4 → 12

Calls

4 calls:

281.0ms	(pow (sqrt (sqrt (* (* x 3.0) x))) (/ 3 2))
284.0ms	(pow (sqrt (sqrt (* (* x 3.0) x))) 5/2)
37.0ms	(sqrt (* (* x 3.0) x))
42.0ms	(sqrt (* (* x 3.0) x))

simplify52.0ms

Counts: 102 → 102

prune291.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.0b

regimes82.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample424.0ms

Algorithm

intervals

Results

244.0ms

10719×

body

valid