Details

Time bar (total: 4.9s)

sample17.0ms

Algorithm
intervals
Results
4.0ms256×body80valid
3.0ms241×body80nan

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
044
154
done54

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(sqrt (+ x y))

rewrite5.0ms

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:
4.0ms
(sqrt (+ x y))

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(sqrt (+ x y))

simplify2.2s

Counts
19 → 19
Iterations

Useful iterations: 5 (1.2s)

IterNodesCost
053174
1115151
2260147
3589137
41453136
53753134
done5001134

prune33.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

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:
28.0ms
(* (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y))))
3.0ms
(cbrt (sqrt (+ x y)))
3.0ms
(cbrt (sqrt (+ x y)))
3.0ms
(cbrt (sqrt (+ x y)))

series543.0ms

Counts
4 → 12
Calls
4 calls:
159.0ms
(* (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y))))
127.0ms
(cbrt (sqrt (+ x y)))
129.0ms
(cbrt (sqrt (+ x y)))
128.0ms
(cbrt (sqrt (+ x y)))

simplify1.2s

Counts
132 → 132
Iterations

Useful iterations: 3 (458.0ms)

IterNodesCost
01371982
12791786
27531690
323651585
done50001585

prune277.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes51.0ms

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

sample470.0ms

Algorithm
intervals
Results
118.0ms8000×body80valid
108.0ms7924×body80nan