Details

Time bar (total: 19.9s)

sample37.0ms

Algorithm
intervals
Results
18.0ms256×body80valid
5.0ms256×pre80true

simplify6.2s

Counts
1 → 1
Iterations

Useful iterations: 4 (3.8s)

IterNodesCost
01025
13125
216423
389019
4335915
done500015

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 1 expressions with local error:

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

rewrite66.0ms

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:
56.0ms
(/ (/ i (* 2.0 2.0)) (- (* 2.0 (* 2.0 i)) (/ 1.0 i)))

series150.0ms

Counts
1 → 3
Calls
1 calls:
150.0ms
(/ (/ i (* 2.0 2.0)) (- (* 2.0 (* 2.0 i)) (/ 1.0 i)))

simplify2.9s

Counts
53 → 53
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
01431332
13631310
211061178
339671176
done50001176

prune137.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite218.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
33×add-sqr-sqrt
28×times-frac
25×add-cbrt-cube
21×*-un-lft-identity
19×add-cube-cbrt
16×div-exp prod-exp
15×associate-*r*
8×cbrt-undiv cbrt-unprod
7×associate-*l*
6×unswap-sqr
5×pow1
4×rec-exp 1-exp associate-/r/
3×associate-/r* div-inv associate-/l*
2×flip3-- flip-- add-log-exp
1×frac-times pow-flip frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num un-div-inv *-commutative inv-pow
Counts
2 → 92
Calls
2 calls:
148.0ms
(* (/ i (* 2.0 2.0)) (/ 1 (- (* 2.0 (* 2.0 i)) (/ 1.0 i))))
62.0ms
(/ 1 (- (* 2.0 (* 2.0 i)) (/ 1.0 i)))

series210.0ms

Counts
2 → 6
Calls
2 calls:
122.0ms
(* (/ i (* 2.0 2.0)) (/ 1 (- (* 2.0 (* 2.0 i)) (/ 1.0 i))))
87.0ms
(/ 1 (- (* 2.0 (* 2.0 i)) (/ 1.0 i)))

simplify2.2s

Counts
98 → 98
Iterations

Useful iterations: 2 (423.0ms)

IterNodesCost
01852108
14901908
215481592
done50011592

prune228.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 1 expressions with local error:

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

rewrite98.0ms

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:
96.0ms
(/ i (* (* 2.0 2.0) (- (* 2.0 (* 2.0 i)) (/ 1.0 i))))

series468.0ms

Counts
1 → 3
Calls
1 calls:
468.0ms
(/ i (* (* 2.0 2.0) (- (* 2.0 (* 2.0 i)) (/ 1.0 i))))

simplify3.1s

Counts
28 → 28
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
094604
1251598
2891468
34484466
done5001466

prune65.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (- (* 2.0 (* 2.0 i)) (/ 1.0 i)) (/ i (* 2.0 2.0)))
0.5b
(/ 1 (/ (- (* 2.0 (* 2.0 i)) (/ 1.0 i)) (/ i (* 2.0 2.0))))

rewrite186.0ms

Algorithm
rewrite-expression-head
Rules
231×times-frac
101×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
45×add-exp-log
33×associate-/r*
28×div-exp
25×add-cbrt-cube
22×div-inv
14×cbrt-undiv
6×associate-/r/ associate-/l*
4×rec-exp 1-exp prod-exp
3×pow1
2×frac-2neg clear-num cbrt-unprod associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 187
Calls
2 calls:
93.0ms
(/ (- (* 2.0 (* 2.0 i)) (/ 1.0 i)) (/ i (* 2.0 2.0)))
66.0ms
(/ 1 (/ (- (* 2.0 (* 2.0 i)) (/ 1.0 i)) (/ i (* 2.0 2.0))))

series376.0ms

Counts
2 → 6
Calls
2 calls:
234.0ms
(/ (- (* 2.0 (* 2.0 i)) (/ 1.0 i)) (/ i (* 2.0 2.0)))
142.0ms
(/ 1 (/ (- (* 2.0 (* 2.0 i)) (/ 1.0 i)) (/ i (* 2.0 2.0))))

simplify1.8s

Counts
193 → 193
Iterations

Useful iterations: done (1.8s)

IterNodesCost
03255488
17905039
221824538
done50004395

prune428.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes13.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01015
11315
done1315

end0.0ms

sample917.0ms

Algorithm
intervals
Results
607.0ms8000×body80valid
149.0ms8000×pre80true