Details

Time bar (total: 9.6s)

sample37.0ms

Algorithm
intervals
Results
7.0ms267×body80nan
7.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
154
done54

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

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:
11.0ms
(sqrt (+ x y))

series38.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(sqrt (+ x y))

simplify2.4s

Counts
19 → 19
Iterations

Useful iterations: 5 (686.0ms)

IterNodesCost
053174
1115151
2240147
3471137
4845136
51417134
62636134
done5001134

prune34.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x y))
0.1b
(sqrt (sqrt (+ x y)))
0.1b
(sqrt (sqrt (+ x y)))
0.5b
(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
110×sqrt-prod
56×add-sqr-sqrt
41×*-un-lft-identity sqrt-pow1
34×sqrt-div
32×pow1
21×add-cube-cbrt pow1/2
18×swap-sqr
10×associate-*r* associate-*l*
9×flip3-+ pow-prod-up flip-+ distribute-lft-out unswap-sqr
6×add-exp-log add-cbrt-cube
5×rem-sqrt-square pow-prod-down pow-sqr
4×frac-times add-log-exp
2×associate-*r/ associate-*l/
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 148
Calls
4 calls:
12.0ms
(sqrt (+ x y))
9.0ms
(sqrt (sqrt (+ x y)))
9.0ms
(sqrt (sqrt (+ x y)))
57.0ms
(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

series520.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(sqrt (+ x y))
201.0ms
(sqrt (sqrt (+ x y)))
228.0ms
(sqrt (sqrt (+ x y)))
44.0ms
(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

simplify2.1s

Counts
160 → 160
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01622186
13271371
28401307
322401266
done50011240

prune297.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (sqrt (sqrt (+ x y))) (sqrt (* (pow (sqrt (cbrt (sqrt (+ x y)))) 4) (cbrt (sqrt (+ x y))))))
0.6b
(cbrt (sqrt (+ x y)))
0.6b
(cbrt (sqrt (+ x y)))
0.9b
(pow (sqrt (cbrt (sqrt (+ x y)))) 4)

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
37×sqrt-prod
28×sqrt-div
25×*-un-lft-identity
23×add-sqr-sqrt
21×cbrt-prod
17×add-cube-cbrt
13×unpow-prod-down
10×pow1 cbrt-div associate-*l*
8×flip3-+ associate-*r/ flip-+
7×add-exp-log
6×add-cbrt-cube
4×frac-times pow-pow sqrt-pow1 associate-*r* distribute-lft-out add-log-exp
3×pow-unpow pow1/2 pow1/3 pow-prod-down unswap-sqr
2×associate-*l/
1×pow-to-exp sqrt-unprod pow-exp prod-exp *-commutative sqrt-pow2 cbrt-unprod sqr-pow
Counts
4 → 104
Calls
4 calls:
118.0ms
(* (sqrt (sqrt (+ x y))) (sqrt (* (pow (sqrt (cbrt (sqrt (+ x y)))) 4) (cbrt (sqrt (+ x y))))))
5.0ms
(cbrt (sqrt (+ x y)))
5.0ms
(cbrt (sqrt (+ x y)))
14.0ms
(pow (sqrt (cbrt (sqrt (+ x y)))) 4)

series542.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(* (sqrt (sqrt (+ x y))) (sqrt (* (pow (sqrt (cbrt (sqrt (+ x y)))) 4) (cbrt (sqrt (+ x y))))))
162.0ms
(cbrt (sqrt (+ x y)))
140.0ms
(cbrt (sqrt (+ x y)))
183.0ms
(pow (sqrt (cbrt (sqrt (+ x y)))) 4)

simplify2.0s

Counts
116 → 116
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02122115
14551949
210481572
326361304
done50011230

prune383.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes85.0ms

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

sample832.0ms

Algorithm
intervals
Results
243.0ms8000×body80valid
164.0ms7822×body80nan