Details

Time bar (total: 10.2s)

sample19.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
3.0ms256×pre80true

simplify5.1s

Counts
1 → 1
Iterations

Useful iterations: 4 (4.0s)

IterNodesCost
01025
13225
216723
386419
4470215
done500115

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite18.0ms

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-*l/ associate-/r/
1×pow1 expm1-log1p-u flip3-- frac-2neg clear-num associate-/r* flip-- log1p-expm1-u div-inv add-log-exp
Counts
1 → 27
Calls
1 calls:
17.0ms
(/ i (* (- (* (* 2.0 2.0) i) (/ 1.0 i)) (* 2.0 2.0)))

series92.0ms

Counts
1 → 3
Calls
1 calls:
92.0ms
(/ i (* (- (* (* 2.0 2.0) i) (/ 1.0 i)) (* 2.0 2.0)))

simplify1.8s

Counts
30 → 30
Iterations

Useful iterations: 3 (874.0ms)

IterNodesCost
095642
1262630
2923504
34953502
done5000502

prune57.0ms

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

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
2×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
2 → 20
Calls
2 calls:
0.0ms
(fma 0.25 (* i i) (fma 1.0 (pow i 4) (* 4.0 (pow i 6))))
0.0ms
(fma 1.0 (pow i 4) (* 4.0 (pow i 6)))

series175.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(fma 0.25 (* i i) (fma 1.0 (pow i 4) (* 4.0 (pow i 6))))
121.0ms
(fma 1.0 (pow i 4) (* 4.0 (pow i 6)))

simplify2.5s

Counts
26 → 26
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
037418
160409
2171359
3657359
44301359
done5000359

prune69.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes11.0ms

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

sample397.0ms

Algorithm
intervals
Results
230.0ms8000×body80valid
66.0ms8000×pre80true