Details

sample25.0ms

Algorithm

intervals

Results

11.0ms

343×

body

valid

simplify3.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (* x 3.0) x)

rewrite38.0ms

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:

37.0ms

(* (* x 3.0) x)

series51.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

(* (* x 3.0) x)

simplify64.0ms

Counts: 21 → 21

prune33.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x 3.0) x)
0.3b	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
21.9b	(sqrt (* (* x 3.0) x))
21.9b	(sqrt (* (* x 3.0) x))

rewrite236.0ms

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:

29.0ms	(* (* x 3.0) x)
175.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
14.0ms	(sqrt (* (* x 3.0) x))
13.0ms	(sqrt (* (* x 3.0) x))

series260.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (* x 3.0) x)
112.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
56.0ms	(sqrt (* (* x 3.0) x))
53.0ms	(sqrt (* (* x 3.0) x))

simplify137.0ms

Counts: 120 → 120

prune197.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x))))
21.9b	(sqrt (* (* x 3.0) x))
21.9b	(sqrt (* (* x 3.0) x))
21.9b	(sqrt (* (* x 3.0) x))

rewrite244.0ms

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:

171.0ms	(* (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x))))
28.0ms	(sqrt (* (* x 3.0) x))
22.0ms	(sqrt (* (* x 3.0) x))
14.0ms	(sqrt (* (* x 3.0) x))

series176.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x))))
46.0ms	(sqrt (* (* x 3.0) x))
41.0ms	(sqrt (* (* x 3.0) x))
44.0ms	(sqrt (* (* x 3.0) x))

simplify156.0ms

Counts: 136 → 136

prune296.0ms

Pruning

9 alts after pruning (7 fresh and 2 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)
21.9b	(sqrt (* (* x 3.0) x))
21.9b	(sqrt (* (* x 3.0) x))

rewrite212.0ms

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:

119.0ms	(* (sqrt (sqrt (* (* x 3.0) x))) (pow (sqrt (sqrt (* (* x 3.0) x))) 3))
32.0ms	(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
26.0ms	(sqrt (* (* x 3.0) x))
27.0ms	(sqrt (* (* x 3.0) x))

series552.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(* (sqrt (sqrt (* (* x 3.0) x))) (pow (sqrt (sqrt (* (* x 3.0) x))) 3))
294.0ms	(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
69.0ms	(sqrt (* (* x 3.0) x))
74.0ms	(sqrt (* (* x 3.0) x))

simplify68.0ms

Counts: 126 → 126

prune319.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes80.0ms

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

sample586.0ms

Algorithm

intervals

Results

324.0ms

10629×

body

valid