Details

Time bar (total: 4.7s)

sample21.0ms

Algorithm
intervals
Results
8.0ms352×body80valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1147
2207
3217
done217

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.3b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

5.9b
(* x (+ 1.0 (* y y)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 22
Calls
1 calls:
6.0ms
(* x (+ 1.0 (* y y)))

series12.0ms

Counts
1 → 3
Calls
1 calls:
11.0ms
(* x (+ 1.0 (* y y)))

simplify1.4s

Counts
25 → 25
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
050247
1145245
2509206
31359206
43599206
done5000206

prune52.0ms

Filtered
17 candidates to 25 candidates (-47.1%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New21425
Fresh000
Picked011
Done000
Total21526

Merged error: 6.1b

Counts
26 → 5

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (sqrt (+ 1.0 (* y y))))
0.1b
(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
5.9b
(sqrt (+ 1.0 (* y y)))
5.9b
(sqrt (+ 1.0 (* y y)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
18×sqrt-div
17×add-sqr-sqrt
13×pow1 sqrt-prod
12×associate-*r*
11×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
10×associate-*r/
9×flip3-+ flip-+
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative unswap-sqr
Counts
4 → 83
Calls
4 calls:
7.0ms
(* x (sqrt (+ 1.0 (* y y))))
11.0ms
(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
3.0ms
(sqrt (+ 1.0 (* y y)))
3.0ms
(sqrt (+ 1.0 (* y y)))

series32.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(* x (sqrt (+ 1.0 (* y y))))
11.0ms
(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
4.0ms
(sqrt (+ 1.0 (* y y)))
4.0ms
(sqrt (+ 1.0 (* y y)))

simplify996.0ms

Counts
95 → 95
Iterations

Useful iterations: done (994.0ms)

IterNodesCost
01221468
13091194
210371045
333681007
done50001004

prune177.0ms

Filtered
75 candidates to 95 candidates (-26.7%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New93295
Fresh123
Picked011
Done011
Total946100

Merged error: 6.1b

Counts
100 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))
5.9b
(sqrt (+ 1.0 (* y y)))
5.9b
(sqrt (+ 1.0 (* y y)))
5.9b
(sqrt (+ 1.0 (* y y)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
96×sqrt-div
30×flip3-+ flip-+
28×frac-times
26×associate-*r/
18×sqrt-prod
16×pow1
14×associate-*l/
13×add-exp-log add-sqr-sqrt add-cbrt-cube
10×add-cube-cbrt *-un-lft-identity
9×associate-*r*
6×pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
3×rem-sqrt-square sqrt-pow1 pow1/2
1×associate-*l* *-commutative
Counts
4 → 98
Calls
4 calls:
19.0ms
(* (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))
3.0ms
(sqrt (+ 1.0 (* y y)))
3.0ms
(sqrt (+ 1.0 (* y y)))
3.0ms
(sqrt (+ 1.0 (* y y)))

series23.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(* (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))
4.0ms
(sqrt (+ 1.0 (* y y)))
4.0ms
(sqrt (+ 1.0 (* y y)))
4.0ms
(sqrt (+ 1.0 (* y y)))

simplify723.0ms

Counts
110 → 110
Iterations

Useful iterations: done (719.0ms)

IterNodesCost
01652960
14482426
215621820
done50001737

prune270.0ms

Filtered
82 candidates to 110 candidates (-34.1%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1100110
Fresh033
Picked011
Done022
Total1106116

Merged error: 6.1b

Counts
116 → 6

localize2.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000
done00

prune0.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New000
Fresh022
Picked011
Done033
Total066

Merged error: 6.1b

Counts
6 → 6

regimes236.0ms

Accuracy

0% (0.2b remaining)

Error of 5.7b against oracle of 5.5b and baseline of 5.7b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
done87

end0.0ms

sample590.0ms

Algorithm
intervals
Results
280.0ms10754×body80valid

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