Details

Time bar (total: 6.6s)

sample43.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
7.0ms265×body80nan

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
154
done54

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(sqrt (+ x y))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
4×*-un-lft-identity sqrt-prod
3×add-sqr-sqrt
2×pow1 add-cube-cbrt sqrt-div
1×add-exp-log rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 add-cbrt-cube flip-+ distribute-lft-out add-log-exp
Counts
1 → 16
Calls
1 calls:
10.0ms
(sqrt (+ x y))

series49.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(sqrt (+ x y))

simplify897.0ms

Counts
19 → 19
Iterations

Useful iterations: 3 (289.0ms)

IterNodesCost
053174
1115151
2362147
31544137
done5000137

prune65.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y))))
0.6b
(cbrt (sqrt (+ x y)))
0.6b
(cbrt (sqrt (+ x y)))
0.6b
(cbrt (sqrt (+ x y)))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
69×cbrt-prod
44×add-sqr-sqrt
42×*-un-lft-identity
40×sqrt-prod
22×add-cube-cbrt
18×cbrt-div sqrt-div
14×swap-sqr
11×pow1
10×associate-*r* associate-*l*
9×flip3-+ pow1/3 flip-+ distribute-lft-out unswap-sqr
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 120
Calls
4 calls:
45.0ms
(* (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y))))
9.0ms
(cbrt (sqrt (+ x y)))
5.0ms
(cbrt (sqrt (+ x y)))
5.0ms
(cbrt (sqrt (+ x y)))

series638.0ms

Counts
4 → 12
Calls
4 calls:
204.0ms
(* (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y))))
131.0ms
(cbrt (sqrt (+ x y)))
154.0ms
(cbrt (sqrt (+ x y)))
148.0ms
(cbrt (sqrt (+ x y)))

simplify1.1s

Counts
132 → 132
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01371982
13061786
213811690
done50011631

prune472.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (sqrt (+ x y)))
0.6b
(cbrt (sqrt (+ x y)))
0.6b
(cbrt (sqrt (+ x y)))
0.9b
(pow (cbrt (cbrt (sqrt (+ x y)))) (+ 3 1))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
38×cbrt-prod
25×*-un-lft-identity
16×sqrt-prod
15×add-sqr-sqrt add-cube-cbrt
13×unpow-prod-down
6×cbrt-div sqrt-div
5×pow1 add-exp-log distribute-lft-out
4×pow-unpow pow1/3 add-cbrt-cube add-log-exp
3×flip3-+ flip-+
2×pow-pow
1×unpow-prod-up pow-to-exp pow-exp sqr-pow
Counts
4 → 81
Calls
4 calls:
5.0ms
(cbrt (sqrt (+ x y)))
5.0ms
(cbrt (sqrt (+ x y)))
5.0ms
(cbrt (sqrt (+ x y)))
17.0ms
(pow (cbrt (cbrt (sqrt (+ x y)))) (+ 3 1))

series679.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt (sqrt (+ x y)))
158.0ms
(cbrt (sqrt (+ x y)))
137.0ms
(cbrt (sqrt (+ x y)))
204.0ms
(pow (cbrt (cbrt (sqrt (+ x y)))) (+ 3 1))

simplify807.0ms

Counts
93 → 93
Iterations

Useful iterations: done (803.0ms)

IterNodesCost
01501285
14191103
21426996
done5000975

prune462.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes202.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
154
done54

end0.0ms

sample996.0ms

Algorithm
intervals
Results
188.0ms8000×body80valid
174.0ms8049×body80nan