Details

Time bar (total: 8.6s)

sample26.0ms

Algorithm
intervals
Results
8.0ms309×body80nan
5.0ms256×body80valid

simplify2.0ms

Counts
1 → 1
Iterations
IterNodes
done5
15
04

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(sqrt (+ x y))

rewrite6.0ms

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:
6.0ms
(sqrt (+ x y))

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(sqrt (+ x y))

simplify2.0s

Counts
19 → 19
Iterations
IterNodes
done5000
54554
41745
3701
2268
1115
053

prune99.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

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))))

rewrite98.0ms

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:
6.0ms
(sqrt (+ x y))
7.0ms
(sqrt (sqrt (+ x y)))
9.0ms
(sqrt (sqrt (+ x y)))
71.0ms
(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

series556.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(sqrt (+ x y))
240.0ms
(sqrt (sqrt (+ x y)))
218.0ms
(sqrt (sqrt (+ x y)))
43.0ms
(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

simplify1.7s

Counts
160 → 160
Iterations
IterNodes
done5001
32130
2832
1356
0162

prune565.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

2.2b
(+ (* x (* x x)) (* y (* y y)))
19.0b
(/ (sqrt (+ (* x (* x x)) (* y (* y y)))) (sqrt (+ (* x x) (* y (- y x)))))
20.1b
(sqrt (+ (* x (* x x)) (* y (* y y))))
26.9b
(sqrt (+ (* x x) (* y (- y x))))

rewrite160.0ms

Algorithm
rewrite-expression-head
Rules
59×sqrt-prod
42×times-frac
38×add-sqr-sqrt
36×*-un-lft-identity add-cube-cbrt
18×cube-unmult
9×sum-cubes
8×sqrt-div
7×associate-/l*
6×pow1 associate-/r* add-cbrt-cube add-exp-log add-log-exp
5×flip3-+ flip-+
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-/r/ associate-/l/
1×cbrt-undiv +-commutative sqrt-undiv clear-num sum-log frac-2neg div-exp div-inv
Counts
4 → 115
Calls
4 calls:
27.0ms
(+ (* x (* x x)) (* y (* y y)))
72.0ms
(/ (sqrt (+ (* x (* x x)) (* y (* y y)))) (sqrt (+ (* x x) (* y (- y x)))))
49.0ms
(sqrt (+ (* x (* x x)) (* y (* y y))))
6.0ms
(sqrt (+ (* x x) (* y (- y x))))

series394.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(+ (* x (* x x)) (* y (* y y)))
131.0ms
(/ (sqrt (+ (* x (* x x)) (* y (* y y)))) (sqrt (+ (* x x) (* y (- y x)))))
114.0ms
(sqrt (+ (* x (* x x)) (* y (* y y))))
81.0ms
(sqrt (+ (* x x) (* y (- y x))))

simplify1.3s

Counts
127 → 127
Iterations
IterNodes
done5000
21339
1434
0199

prune596.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes149.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done5
15
04

end0.0ms

sample819.0ms

Algorithm
intervals
Results
212.0ms8000×body80valid
212.0ms8097×body80nan