Details

Time bar (total: 21.6s)

sample18.0ms

Algorithm
intervals
Results
7.0ms347×body80valid

simplify5.0ms

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

localize7.0ms

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×expm1-log1p-u associate-*l* *-commutative log1p-expm1-u add-log-exp
Counts
1 → 20
Calls
1 calls:
18.0ms
(* (* x y) y)

series46.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(* (* x y) y)

simplify4.8s

Counts
23 → 23
Iterations

Useful iterations: 4 (1.1s)

IterNodesCost
038169
195164
2337134
3653134
4945133
52719133
done5000133

prune40.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

6.7b
(* x (pow y 2))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×associate-*r*
6×add-exp-log
4×add-cube-cbrt unpow-prod-down *-un-lft-identity unswap-sqr
3×associate-*l* prod-exp add-cbrt-cube
2×unpow2 sqr-pow
1×pow1 expm1-log1p-u pow-to-exp pow-exp *-commutative cbrt-unprod log1p-expm1-u add-log-exp
Counts
1 → 29
Calls
1 calls:
17.0ms
(* x (pow y 2))

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(* x (pow y 2))

simplify3.9s

Counts
32 → 32
Iterations

Useful iterations: 4 (1.6s)

IterNodesCost
053244
1109221
2237188
3672188
43356185
done5001185

prune78.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
3.1b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (pow y 2)))
3.7b
(* (cbrt x) (pow y 2))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
33×add-exp-log
22×add-sqr-sqrt
21×prod-exp
13×cbrt-prod
11×add-cbrt-cube
10×add-cube-cbrt *-un-lft-identity
9×pow1 associate-*r* cbrt-unprod
8×unswap-sqr
7×associate-*l*
5×unpow-prod-down
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-to-exp pow-prod-down pow-exp unpow2 sqr-pow
2×pow1/3 *-commutative
Counts
4 → 88
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
48.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (pow y 2)))
20.0ms
(* (cbrt x) (pow y 2))

series828.0ms

Counts
4 → 12
Calls
4 calls:
251.0ms
(cbrt x)
321.0ms
(cbrt x)
85.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (pow y 2)))
171.0ms
(* (cbrt x) (pow y 2))

simplify4.4s

Counts
100 → 100
Iterations

Useful iterations: done (4.4s)

IterNodesCost
0107951
1233874
2788663
33822573
done5001570

prune296.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize26.0ms

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) (pow y (/ 2 2))))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
53×add-exp-log
39×prod-exp
17×add-cbrt-cube
15×cbrt-unprod
9×pow1 cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u pow-to-exp pow-exp log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down
1×associate-*r* associate-*l* *-commutative
Counts
4 → 73
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
84.0ms
(* (* (cbrt x) (cbrt x)) (* (* (cbrt x) y) (pow y (/ 2 2))))

series695.0ms

Counts
4 → 12
Calls
4 calls:
213.0ms
(cbrt x)
201.0ms
(cbrt x)
225.0ms
(cbrt x)
56.0ms
(* (* (cbrt x) (cbrt x)) (* (* (cbrt x) y) (pow y (/ 2 2))))

simplify5.5s

Counts
85 → 85
Iterations

Useful iterations: 3 (2.6s)

IterNodesCost
0881008
1221835
2839517
34195397
done5001397

prune207.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes88.0ms

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

sample536.0ms

Algorithm
intervals
Results
205.0ms10641×body80valid