Details

sample13.0ms

Algorithm

intervals

Results

5.0ms

342×

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)

rewrite32.0ms

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:

31.0ms

(* (* x 3.0) x)

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

(* (* x 3.0) x)

simplify86.0ms

Counts: 21 → 21

prune54.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

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 3.0) x)))
18.4b	(sqrt (* (* x 3.0) x))
18.4b	(sqrt (* (* x 3.0) x))

rewrite264.0ms

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:

35.0ms	(* (* x 3.0) x)
176.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
26.0ms	(sqrt (* (* x 3.0) x))
21.0ms	(sqrt (* (* x 3.0) x))

series266.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (* x 3.0) x)
102.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
55.0ms	(sqrt (* (* x 3.0) x))
71.0ms	(sqrt (* (* x 3.0) x))

simplify144.0ms

Counts: 120 → 120

prune187.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

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)
18.4b	(sqrt (* (* x 3.0) x))
18.4b	(sqrt (* (* x 3.0) x))

rewrite243.0ms

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×	`pow1/2` `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 → 114

Calls

4 calls:

152.0ms	(* (sqrt (sqrt (* (* x 3.0) x))) (pow (sqrt (sqrt (* (* x 3.0) x))) 3))
39.0ms	(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
23.0ms	(sqrt (* (* x 3.0) x))
22.0ms	(sqrt (* (* x 3.0) x))

series488.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(* (sqrt (sqrt (* (* x 3.0) x))) (pow (sqrt (sqrt (* (* x 3.0) x))) 3))
277.0ms	(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
53.0ms	(sqrt (* (* x 3.0) x))
72.0ms	(sqrt (* (* x 3.0) x))

simplify58.0ms

Counts: 126 → 126

prune416.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt (* (* x 3.0) x)))
0.2b	(* (* x 3.0) x)
0.6b	(pow (sqrt (sqrt (* (* x 3.0) x))) 4)
18.4b	(sqrt (* (* x 3.0) x))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

30×	`pow1`
19×	`sqrt-pow1`
12×	`pow-prod-down`
11×	`sqrt-prod`
10×	`add-exp-log` `add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
7×	`unpow-prod-down` `pow-pow`
5×	`pow1/2`
4×	`add-log-exp`
3×	`pow-unpow` `associate-r` `prod-exp` `cbrt-unprod`
1×	`pow-to-exp` `rem-sqrt-square` `associate-l` `pow-exp` `*-commutative` `sqrt-pow2` `sqr-pow`

Counts

4 → 76

Calls

4 calls:

16.0ms	(sqrt (sqrt (* (* x 3.0) x)))
26.0ms	(* (* x 3.0) x)
43.0ms	(pow (sqrt (sqrt (* (* x 3.0) x))) 4)
28.0ms	(sqrt (* (* x 3.0) x))

series514.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(sqrt (sqrt (* (* x 3.0) x)))
30.0ms	(* (* x 3.0) x)
320.0ms	(pow (sqrt (sqrt (* (* x 3.0) x))) 4)
72.0ms	(sqrt (* (* x 3.0) x))

simplify42.0ms

Counts: 88 → 88

prune217.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

regimes93.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

end0.0ms

sample521.0ms

Algorithm

intervals

Results

237.0ms

10698×

body

valid