Details

Time bar (total: 3.5s)

sample20.0ms

Algorithm
intervals
Results
9.0ms338×body80valid

simplify2.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* x 3.0) x)

rewrite20.0ms

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)

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(* (* x 3.0) x)

simplify88.0ms

Counts
21 → 21

prune44.0ms

Pruning

5 alts after pruning (4 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)))
21.4b
(sqrt (* (* x 3.0) x))
21.4b
(sqrt (* (* x 3.0) x))

rewrite172.0ms

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:
21.0ms
(* (* x 3.0) x)
115.0ms
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
17.0ms
(sqrt (* (* x 3.0) x))
14.0ms
(sqrt (* (* x 3.0) x))

series225.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* (* x 3.0) x)
77.0ms
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
62.0ms
(sqrt (* (* x 3.0) x))
53.0ms
(sqrt (* (* x 3.0) x))

simplify103.0ms

Counts
120 → 120

prune201.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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))))
21.4b
(sqrt (* (* x 3.0) x))
21.4b
(sqrt (* x (* x 3.0)))

rewrite258.0ms

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×pow1/2 prod-exp sqrt-prod cbrt-unprod add-log-exp
2×*-commutative
1×sqrt-unprod unswap-sqr
Counts
4 → 73
Calls
4 calls:
37.0ms
(* (* x 3.0) x)
166.0ms
(* (sqrt (* (* x 3.0) x)) (sqrt (* x (* x 3.0))))
27.0ms
(sqrt (* (* x 3.0) x))
24.0ms
(sqrt (* x (* x 3.0)))

series227.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* (* x 3.0) x)
106.0ms
(* (sqrt (* (* x 3.0) x)) (sqrt (* x (* x 3.0))))
48.0ms
(sqrt (* (* x 3.0) x))
40.0ms
(sqrt (* x (* x 3.0)))

simplify93.0ms

Counts
85 → 85

prune170.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt x)
0.7b
(cbrt x)
21.4b
(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
21.4b
(sqrt (* (* x 3.0) x))

rewrite176.0ms

Algorithm
rewrite-expression-head
Rules
29×pow1
16×pow-prod-down
9×sqrt-pow1
6×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-exp-log add-cbrt-cube add-log-exp
2×pow1/2 pow1/3 sqrt-prod
Counts
4 → 49
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
154.0ms
(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
17.0ms
(sqrt (* (* x 3.0) x))

series701.0ms

Counts
4 → 12
Calls
4 calls:
301.0ms
(cbrt x)
263.0ms
(cbrt x)
75.0ms
(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
62.0ms
(sqrt (* (* x 3.0) x))

simplify124.0ms

Counts
61 → 61

prune219.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes68.0ms

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

sample486.0ms

Algorithm
intervals
Results
253.0ms10680×body80valid