Details

Time bar (total: 8.9s)

sample28.0ms

Algorithm
intervals
Results
5.0ms309×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))

rewrite8.0ms

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:
7.0ms
(sqrt (+ x y))

series52.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(sqrt (+ x y))

simplify2.3s

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

prune77.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

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))))

rewrite77.0ms

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:
7.0ms
(sqrt (+ x y))
7.0ms
(sqrt (sqrt (+ x y)))
7.0ms
(sqrt (sqrt (+ x y)))
44.0ms
(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

series606.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(sqrt (+ x y))
217.0ms
(sqrt (sqrt (+ x y)))
296.0ms
(sqrt (sqrt (+ x y)))
42.0ms
(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

simplify1.6s

Counts
160 → 160
Iterations
IterNodes
done5001
32130
2832
1356
0162

prune579.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

2.3b
(- (* y y) (* x y))
19.0b
(/ (sqrt (+ (* y (* y y)) (* x (* x x)))) (sqrt (+ (* x x) (- (* y y) (* x y)))))
20.1b
(sqrt (+ (* y (* y y)) (* x (* x x))))
26.9b
(sqrt (+ (* x x) (- (* y y) (* x y))))

rewrite191.0ms

Algorithm
rewrite-expression-head
Rules
59×sqrt-prod
42×times-frac
38×add-sqr-sqrt
36×*-un-lft-identity add-cube-cbrt
16×cube-unmult
8×sqrt-div sum-cubes
7×associate-/l*
6×pow1 associate-/r* add-cbrt-cube add-exp-log add-log-exp
4×flip3-+ flip-+
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-/r/ associate-/l/
1×cbrt-undiv sqrt-undiv clear-num sub-neg frac-2neg flip3-- distribute-rgt-out-- diff-log div-exp div-inv flip--
Counts
4 → 116
Calls
4 calls:
10.0ms
(- (* y y) (* x y))
111.0ms
(/ (sqrt (+ (* y (* y y)) (* x (* x x)))) (sqrt (+ (* x x) (- (* y y) (* x y)))))
45.0ms
(sqrt (+ (* y (* y y)) (* x (* x x))))
22.0ms
(sqrt (+ (* x x) (- (* y y) (* x y))))

series346.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(- (* y y) (* x y))
112.0ms
(/ (sqrt (+ (* y (* y y)) (* x (* x x)))) (sqrt (+ (* x x) (- (* y y) (* x y)))))
92.0ms
(sqrt (+ (* y (* y y)) (* x (* x x))))
86.0ms
(sqrt (+ (* x x) (- (* y y) (* x y))))

simplify1.3s

Counts
128 → 128
Iterations
IterNodes
done5000
21317
1471
0213

prune633.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes151.0ms

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

sample942.0ms

Algorithm
intervals
Results
205.0ms8000×body80valid
189.0ms8097×body80nan