Details

Time bar (total: 11.1s)

sample25.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
3.0ms256×pre80true

simplify5.5s

Counts
1 → 1
Iterations

Useful iterations: 4 (4.4s)

IterNodesCost
01025
13125
216323
385619
4471015
done500115

prune8.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (/ 1 (* 2.0 2.0)) (- (* 2.0 2.0) (/ 1.0 (* i i))))
0.3b
(/ 1.0 (* i i))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
64×times-frac
40×add-sqr-sqrt
26×add-exp-log
24×add-cube-cbrt *-un-lft-identity
16×add-cbrt-cube difference-of-squares
13×div-exp
10×associate-/l*
div-inv
cbrt-undiv
associate-/r*
prod-exp
pow1 rec-exp frac-2neg 1-exp clear-num associate-/r/ cbrt-unprod add-log-exp
flip3-- flip-- associate-/l/
Counts
2 → 91
Calls
2 calls:
19.0ms
(/ (/ 1 (* 2.0 2.0)) (- (* 2.0 2.0) (/ 1.0 (* i i))))
5.0ms
(/ 1.0 (* i i))

series7.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(/ (/ 1 (* 2.0 2.0)) (- (* 2.0 2.0) (/ 1.0 (* i i))))
3.0ms
(/ 1.0 (* i i))

simplify2.5s

Counts
97 → 97
Iterations

Useful iterations: 3 (1.8s)

IterNodesCost
02051971
14911866
213171718
349241717
done50001717

prune130.0ms

Filtered
60 candidates to 97 candidates (-61.7%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New96197
Fresh101
Picked011
Done000
Total97299

Merged error: 0b

Counts
99 → 2

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* 4.0 (pow i 6)) (* 0.25 (pow i 2)))
0.0b
(pow i 2)
0.0b
(+ (* 1.0 (pow i 4)) (+ (* 4.0 (pow i 6)) (* 0.25 (pow i 2))))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log sum-log
unpow-prod-down pow-unpow add-cbrt-cube
+-commutative flip3-+ flip-+
pow-to-exp associate-+r+ pow-pow pow-exp unpow2 sqr-pow
Counts
3 → 42
Calls
3 calls:
5.0ms
(+ (* 4.0 (pow i 6)) (* 0.25 (pow i 2)))
2.0ms
(pow i 2)
9.0ms
(+ (* 1.0 (pow i 4)) (+ (* 4.0 (pow i 6)) (* 0.25 (pow i 2))))

series26.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(+ (* 4.0 (pow i 6)) (* 0.25 (pow i 2)))
5.0ms
(pow i 2)
7.0ms
(+ (* 1.0 (pow i 4)) (+ (* 4.0 (pow i 6)) (* 0.25 (pow i 2))))

simplify2.0s

Counts
51 → 51
Iterations

Useful iterations: 3 (474.0ms)

IterNodesCost
082766
1251699
2795631
33744629
done5000629

prune91.0ms

Filtered
32 candidates to 51 candidates (-59.4%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New51051
Fresh000
Picked011
Done011
Total51253

Merged error: 0b

Counts
53 → 2

regimes26.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01015
11215
done1215

end0.0ms

sample663.0ms

Algorithm
intervals
Results
436.0ms8000×body80valid
82.0ms8000×pre80true

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