Details

Time bar (total: 8.5s)

sample32.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
6.0ms251×body80nan

simplify2.0ms

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))

rewrite12.0ms

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:
12.0ms
(sqrt (+ x y))

series60.0ms

Counts
1 → 3
Calls
1 calls:
60.0ms
(sqrt (+ x y))

simplify1.2s

Counts
19 → 19
Iterations

Useful iterations: 3 (608.0ms)

IterNodesCost
053174
1115151
2362147
31544137
done5000137

prune56.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x y))
0.2b
(sqrt (sqrt (+ x y)))
0.2b
(sqrt (sqrt (+ x y)))
0.5b
(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

rewrite110.0ms

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:
8.0ms
(sqrt (+ x y))
9.0ms
(sqrt (sqrt (+ x y)))
16.0ms
(sqrt (sqrt (+ x y)))
71.0ms
(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

series605.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(sqrt (+ x y))
268.0ms
(sqrt (sqrt (+ x y)))
249.0ms
(sqrt (sqrt (+ x y)))
38.0ms
(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

simplify1.7s

Counts
160 → 160
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01622186
13661378
216501307
done50001298

prune367.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (fabs (cbrt (sqrt (+ x y)))) (sqrt (sqrt (+ x y))))
0.4b
(* (* (fabs (cbrt (sqrt (+ x y)))) (sqrt (sqrt (+ x y)))) (sqrt (cbrt (sqrt (+ x y)))))
0.6b
(cbrt (sqrt (+ x y)))
0.6b
(cbrt (sqrt (+ x y)))

rewrite171.0ms

Algorithm
rewrite-expression-head
Rules
36×sqrt-prod
32×sqrt-div
24×*-un-lft-identity
23×associate-*r*
22×add-sqr-sqrt
21×cbrt-prod
16×add-cube-cbrt
11×pow1 add-exp-log add-cbrt-cube
10×cbrt-div associate-*r/
9×flip3-+ flip-+
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod distribute-lft-out add-log-exp
3×unswap-sqr
2×pow1/3 associate-*l/ *-commutative
Counts
4 → 99
Calls
4 calls:
43.0ms
(* (fabs (cbrt (sqrt (+ x y)))) (sqrt (sqrt (+ x y))))
104.0ms
(* (* (fabs (cbrt (sqrt (+ x y)))) (sqrt (sqrt (+ x y)))) (sqrt (cbrt (sqrt (+ x y)))))
7.0ms
(cbrt (sqrt (+ x y)))
7.0ms
(cbrt (sqrt (+ x y)))

series859.0ms

Counts
4 → 12
Calls
4 calls:
236.0ms
(* (fabs (cbrt (sqrt (+ x y)))) (sqrt (sqrt (+ x y))))
263.0ms
(* (* (fabs (cbrt (sqrt (+ x y)))) (sqrt (sqrt (+ x y)))) (sqrt (cbrt (sqrt (+ x y)))))
188.0ms
(cbrt (sqrt (+ x y)))
173.0ms
(cbrt (sqrt (+ x y)))

simplify1.7s

Counts
111 → 111
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02342142
15851974
227051812
done50011804

prune533.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes77.0ms

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

sample879.0ms

Algorithm
intervals
Results
176.0ms7819×body80nan
167.0ms8000×body80valid