Details

Time bar (total: 19.5s)

sample25.0ms

Algorithm
intervals
Results
9.0ms347×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
185
295
done95

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 y) y)

rewrite19.0ms

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 y) y)

series43.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(* (* x y) y)

simplify4.5s

Counts
21 → 21
Iterations

Useful iterations: 4 (1.1s)

IterNodesCost
036157
193152
2338122
3693122
4989121
52760121
done5000121

prune32.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

6.7b
(* x (* y y))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×add-sqr-sqrt associate-*l* pow-prod-down prod-exp cbrt-unprod
2×add-cube-cbrt *-un-lft-identity
1×associate-*r* *-commutative add-log-exp unswap-sqr
Counts
1 → 19
Calls
1 calls:
17.0ms
(* x (* y y))

series32.0ms

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

simplify3.9s

Counts
22 → 22
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
034162
178159
2209129
3468129
4677129
51860129
done5001129

prune42.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
3.1b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (* y y)))
3.7b
(* (cbrt x) (* y y))

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
30×pow1 add-exp-log
18×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
10×cbrt-prod add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
7×associate-*l*
4×add-log-exp
2×pow1/3 associate-*r* *-commutative unswap-sqr
Counts
4 → 73
Calls
4 calls:
2.0ms
(cbrt x)
2.0ms
(cbrt x)
105.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (* y y)))
29.0ms
(* (cbrt x) (* y y))

series837.0ms

Counts
4 → 12
Calls
4 calls:
308.0ms
(cbrt x)
296.0ms
(cbrt x)
50.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (* y y)))
183.0ms
(* (cbrt x) (* y y))

simplify3.5s

Counts
85 → 85
Iterations

Useful iterations: 3 (1.7s)

IterNodesCost
083830
1192800
2695566
33225460
done5000460

prune170.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
3.1b
(* (* (cbrt x) (cbrt x)) (* (* (cbrt x) y) y))

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
25×pow1 add-exp-log
17×add-cbrt-cube
15×pow-prod-down prod-exp cbrt-unprod
9×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×pow1/3
1×associate-*r* associate-*l* *-commutative
Counts
4 → 61
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
118.0ms
(* (* (cbrt x) (cbrt x)) (* (* (cbrt x) y) y))

series860.0ms

Counts
4 → 12
Calls
4 calls:
261.0ms
(cbrt x)
265.0ms
(cbrt x)
267.0ms
(cbrt x)
66.0ms
(* (* (cbrt x) (cbrt x)) (* (* (cbrt x) y) y))

simplify4.4s

Counts
73 → 73
Iterations

Useful iterations: 3 (2.1s)

IterNodesCost
072696
1189669
2790441
33389339
done5000339

prune139.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes84.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
165
done65

end0.0ms

sample693.0ms

Algorithm
intervals
Results
337.0ms10641×body80valid