Details

Time bar (total: 16.8s)

sample26.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
3.0ms256×pre80true

simplify6.0s

Counts
1 → 1
Iterations

Useful iterations: 4 (4.0s)

IterNodesCost
01025
13125
216423
389019
4335915
done500015

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
33×times-frac
17×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×associate-/l*
5×cbrt-undiv div-exp div-inv
3×associate-/r*
2×associate-/r/
1×pow1 flip3-- frac-2neg prod-exp clear-num flip-- cbrt-unprod associate-/l/ add-log-exp
Counts
1 → 50
Calls
1 calls:
59.0ms
(/ (/ i (* 2.0 2.0)) (- (* 2.0 (* 2.0 i)) (/ 1.0 i)))

series132.0ms

Counts
1 → 3
Calls
1 calls:
132.0ms
(/ (/ i (* 2.0 2.0)) (- (* 2.0 (* 2.0 i)) (/ 1.0 i)))

simplify2.3s

Counts
53 → 53
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
01431332
13631310
211061178
339671176
done50001176

prune175.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
10×add-log-exp
8×add-exp-log
7×associate-*r*
6×add-cube-cbrt *-un-lft-identity
5×add-cbrt-cube
4×unpow-prod-down sum-log
3×pow1 associate-*l* prod-exp unswap-sqr
2×+-commutative flip3-+ flip-+ sqr-pow
1×pow-to-exp associate-+r+ pow-exp *-commutative cbrt-unprod
Counts
3 → 49
Calls
3 calls:
22.0ms
(+ (* 0.25 (pow i 2)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))
12.0ms
(* 4.0 (pow i 6))
22.0ms
(+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))

series258.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(+ (* 0.25 (pow i 2)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))
50.0ms
(* 4.0 (pow i 6))
145.0ms
(+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))

simplify3.8s

Counts
58 → 58
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
098878
1273793
2927745
34706732
done5001732

prune191.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (* i i) (* i i))
15.6b
(/ (/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i))) (- (* (* 2.0 i) (* 2.0 i)) 1.0))
42.6b
(/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i)))

rewrite356.0ms

Algorithm
rewrite-expression-head
Rules
302×add-exp-log add-cbrt-cube
168×prod-exp cbrt-unprod
114×pow1
76×cbrt-undiv div-exp
36×pow-prod-up
26×times-frac
23×pow-prod-down
22×pow-sqr
20×add-sqr-sqrt
18×pow-plus
14×add-cube-cbrt *-un-lft-identity
13×pow2
7×div-inv
6×associate-/l* difference-of-squares
5×associate-/r*
3×add-log-exp
2×frac-2neg clear-num associate-/r/
1×flip3-- swap-sqr associate-*r* associate-*l* *-commutative flip-- associate-/l/ unswap-sqr
Counts
3 → 220
Calls
3 calls:
38.0ms
(* (* i i) (* i i))
206.0ms
(/ (/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i))) (- (* (* 2.0 i) (* 2.0 i)) 1.0))
94.0ms
(/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i)))

series218.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(* (* i i) (* i i))
129.0ms
(/ (/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i))) (- (* (* 2.0 i) (* 2.0 i)) 1.0))
38.0ms
(/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i)))

simplify1.9s

Counts
229 → 229
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02776766
16364554
231093004
done50002918

prune199.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes46.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01015
11215
done1215

end0.0ms

sample1.0s

Algorithm
intervals
Results
477.0ms8000×pre80true
396.0ms8000×body80valid