Details

Time bar (total: 8.6s)

sample20.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
2.0ms256×pre80true

simplify5.1s

Counts
1 → 1
Iterations

Useful iterations: 4 (3.8s)

IterNodesCost
01025
13125
216323
385619
4472215
done500015

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
3×cbrt-undiv add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac div-exp prod-exp cbrt-unprod associate-/l*
2×associate-*r/ associate-/r/
1×pow1 flip3-- frac-2neg clear-num associate-/r* flip-- div-inv add-log-exp
Counts
1 → 25
Calls
1 calls:
18.0ms
(/ i (* (* 2.0 2.0) (- (* (* 2.0 2.0) i) (/ 1.0 i))))

series93.0ms

Counts
1 → 3
Calls
1 calls:
93.0ms
(/ i (* (* 2.0 2.0) (- (* (* 2.0 2.0) i) (/ 1.0 i))))

simplify846.0ms

Counts
28 → 28
Iterations

Useful iterations: done (844.0ms)

IterNodesCost
093604
1257598
2919468
done5000467

prune51.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×sum-log
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
1×associate-+r+
Counts
2 → 24
Calls
2 calls:
9.0ms
(+ (* 0.25 (pow i 2)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))
3.0ms
(+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))

series188.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(+ (* 0.25 (pow i 2)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))
132.0ms
(+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))

simplify1.7s

Counts
30 → 30
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
056657
1199605
2732559
33555559
done5001559

prune77.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes12.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0915
11115
done1115

end0.0ms

sample390.0ms

Algorithm
intervals
Results
232.0ms8000×body80valid
62.0ms8000×pre80true