Details

Time bar (total: 9.4s)

sample18.0ms

Algorithm
intervals
Results
8.0ms360×body80valid

simplify14.0ms

Counts
1 → 1

prune2.0ms

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)

rewrite34.0ms

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:
33.0ms
(* (* x 3.0) x)

series32.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(* (* x 3.0) x)

simplify812.0ms

Counts
21 → 21

prune23.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize17.0ms

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

rewrite234.0ms

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:
37.0ms
(* (* x 3.0) x)
135.0ms
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
26.0ms
(sqrt (* (* x 3.0) x))
26.0ms
(sqrt (* (* x 3.0) x))

series287.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(* (* x 3.0) x)
102.0ms
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
74.0ms
(sqrt (* (* x 3.0) x))
68.0ms
(sqrt (* (* x 3.0) x))

simplify630.0ms

Counts
120 → 120

prune237.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
19.1b
(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
19.1b
(sqrt (* (* x 3.0) x))

rewrite170.0ms

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:
2.0ms
(cbrt x)
2.0ms
(cbrt x)
151.0ms
(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
13.0ms
(sqrt (* (* x 3.0) x))

series690.0ms

Counts
4 → 12
Calls
4 calls:
251.0ms
(cbrt x)
287.0ms
(cbrt x)
85.0ms
(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
68.0ms
(sqrt (* (* x 3.0) x))

simplify1.2s

Counts
61 → 61

prune275.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

19.1b
(sqrt (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x))))
19.8b
(cbrt (* (* x 3.0) x))
19.8b
(cbrt (* (* x 3.0) x))
19.8b
(cbrt (* (* x 3.0) x))

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
24×pow1
15×sqrt-pow1
12×pow1/3
9×pow-prod-up
6×pow-plus
5×pow-prod-down
4×add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×cbrt-prod pow-sqr
2×pow2
1×pow1/2 pow3 sqrt-prod
Counts
4 → 51
Calls
4 calls:
72.0ms
(sqrt (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x))))
20.0ms
(cbrt (* (* x 3.0) x))
19.0ms
(cbrt (* (* x 3.0) x))
18.0ms
(cbrt (* (* x 3.0) x))

series1.3s

Counts
4 → 12
Calls
4 calls:
178.0ms
(sqrt (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x))))
368.0ms
(cbrt (* (* x 3.0) x))
366.0ms
(cbrt (* (* x 3.0) x))
342.0ms
(cbrt (* (* x 3.0) x))

simplify2.5s

Counts
63 → 63

prune206.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes69.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify15.0ms

end0.0ms

sample606.0ms

Algorithm
intervals
Results
300.0ms10658×body80valid