Details

Time bar (total: 10.8s)

sample22.0ms

Algorithm
intervals
Results
4.0ms256×body80valid
4.0ms249×body80nan

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0482
1582
done582

prune5.0ms

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))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
4×*-un-lft-identity sqrt-prod
3×add-sqr-sqrt
2×pow1 sqrt-div add-cube-cbrt
1×rem-sqrt-square sqrt-pow1 flip3-+ add-cbrt-cube pow1/2 add-exp-log flip-+ distribute-lft-out add-log-exp
Counts
1 → 16
Calls
1 calls:
8.0ms
(sqrt (+ x y))

series57.0ms

Counts
1 → 3
Calls
1 calls:
57.0ms
(sqrt (+ x y))

simplify848.0ms

Counts
19 → 19
Iterations

Useful iterations: 3 (309.0ms)

IterNodesCost
0534641
11153386
23613346
315083146
done50003146

prune84.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

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))))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
110×sqrt-prod
56×add-sqr-sqrt
41×*-un-lft-identity sqrt-pow1
34×sqrt-div
32×pow1
21×pow1/2 add-cube-cbrt
18×swap-sqr
10×associate-*r* associate-*l*
9×flip3-+ pow-prod-up flip-+ distribute-lft-out unswap-sqr
6×add-cbrt-cube add-exp-log
5×rem-sqrt-square pow-prod-down pow-sqr
4×frac-times add-log-exp
2×associate-*l/ associate-*r/
1×pow2 rem-square-sqrt pow-plus sqrt-unprod prod-exp *-commutative cbrt-unprod
Counts
4 → 148
Calls
4 calls:
8.0ms
(sqrt (+ x y))
9.0ms
(sqrt (sqrt (+ x y)))
10.0ms
(sqrt (sqrt (+ x y)))
59.0ms
(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

series572.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(sqrt (+ x y))
236.0ms
(sqrt (sqrt (+ x y)))
239.0ms
(sqrt (sqrt (+ x y)))
46.0ms
(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

simplify1.8s

Counts
160 → 160
Iterations

Useful iterations: done (1.8s)

IterNodesCost
016246509
136532200
2181931798
done500131598

prune516.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt (+ x y)))
0.3b
(* (sqrt (sqrt (+ x y))) (sqrt (+ x y)))
0.5b
(* (cbrt (* (sqrt (sqrt (+ x y))) (sqrt (+ x y)))) (sqrt (sqrt (+ x y))))
0.6b
(cbrt (* (sqrt (sqrt (+ x y))) (sqrt (+ x y))))

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
130×sqrt-div
52×sqrt-prod
40×flip3-+ flip-+
39×add-sqr-sqrt
36×frac-times
32×cbrt-div
23×*-un-lft-identity
20×pow1
18×associate-*l/
17×associate-*r*
16×sqrt-pow1
15×add-cube-cbrt
14×associate-*l*
12×associate-*r/
10×pow1/2
9×unswap-sqr
8×add-exp-log
7×add-cbrt-cube
6×pow-prod-up
4×cube-unmult pow-prod-down distribute-lft-out add-log-exp
2×cbrt-prod rem-sqrt-square pow-plus prod-exp *-commutative rem-cbrt-cube cbrt-unprod
1×pow1/3 sqrt-unprod
Counts
4 → 150
Calls
4 calls:
10.0ms
(sqrt (sqrt (+ x y)))
51.0ms
(* (sqrt (sqrt (+ x y))) (sqrt (+ x y)))
48.0ms
(* (cbrt (* (sqrt (sqrt (+ x y))) (sqrt (+ x y)))) (sqrt (sqrt (+ x y))))
21.0ms
(cbrt (* (sqrt (sqrt (+ x y))) (sqrt (+ x y))))

series815.0ms

Counts
4 → 12
Calls
4 calls:
221.0ms
(sqrt (sqrt (+ x y)))
298.0ms
(* (sqrt (sqrt (+ x y))) (sqrt (+ x y)))
54.0ms
(* (cbrt (* (sqrt (sqrt (+ x y))) (sqrt (+ x y)))) (sqrt (sqrt (+ x y))))
241.0ms
(cbrt (* (sqrt (sqrt (+ x y))) (sqrt (+ x y))))

simplify2.0s

Counts
162 → 162
Iterations

Useful iterations: done (1.9s)

IterNodesCost
024477720
153762776
2195362133
done500056413

prune782.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ x y) (+ x y))
27.8b
(pow (* (+ x y) (+ x y)) (/ 1/2 2))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
27×*-un-lft-identity
17×pow1
15×add-sqr-sqrt
13×pow-unpow add-cube-cbrt
9×times-frac
7×add-exp-log
6×pow-pow flip3-+ swap-sqr flip-+ distribute-lft-out
4×frac-times add-cbrt-cube associate-*r* associate-*l*
2×pow2 pow-plus pow-prod-down associate-*l/ pow-exp prod-exp associate-*r/ pow-sqr pow-prod-up add-log-exp
1×distribute-rgt-in pow-to-exp unpow-prod-down distribute-lft-in *-commutative cbrt-unprod div-inv unswap-sqr sqr-pow
Counts
2 → 71
Calls
2 calls:
27.0ms
(* (+ x y) (+ x y))
17.0ms
(pow (* (+ x y) (+ x y)) (/ 1/2 2))

series113.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(* (+ x y) (+ x y))
97.0ms
(pow (* (+ x y) (+ x y)) (/ 1/2 2))

simplify1.6s

Counts
77 → 77
Iterations

Useful iterations: done (1.6s)

IterNodesCost
012522245
142115972
2256015652
done500015612

prune277.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes217.0ms

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
0482
1582
done582

end0.0ms

sample701.0ms

Algorithm
intervals
Results
193.0ms8000×body80valid
144.0ms7894×body80nan