Details

Time bar (total: 4.9s)

sample26.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
3.0ms256×pre80true

simplify523.0ms

Counts
1 → 1
Iterations

Useful iterations: done (522.0ms)

IterNodesCost
01025
13125
216323
388519
done500017

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: 15.6b

Counts
2 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (/ i 2.0) (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0))
14.9b
(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
120×times-frac
95×add-sqr-sqrt
61×add-cube-cbrt *-un-lft-identity
58×associate-*r*
25×add-exp-log add-cbrt-cube
13×associate-*l* difference-of-squares
10×cbrt-undiv div-exp
8×associate-/r/
6×prod-exp cbrt-unprod div-inv unswap-sqr
4×pow1 flip3-- associate-/r* flip--
3×associate-/l*
2×add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 134
Calls
2 calls:
33.0ms
(* (/ i 2.0) (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0))
13.0ms
(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

series12.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(* (/ i 2.0) (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0))
6.0ms
(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

simplify845.0ms

Counts
140 → 140
Iterations

Useful iterations: done (841.0ms)

IterNodesCost
02953073
19523003
241962659
done50002657

prune327.0ms

Filtered
123 candidates to 140 candidates (-13.8%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1382140
Fresh101
Picked101
Done000
Total1402142

Merged error: 0b

Counts
142 → 2

localize218.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ i (- (* 2.0 i) (sqrt 1.0)))
0.0b
(/ (/ i 2.0) (+ (* 2.0 i) (sqrt 1.0)))
0.0b
(* (/ (/ i 2.0) (+ (* 2.0 i) (sqrt 1.0))) (/ (/ i (- (* 2.0 i) (sqrt 1.0))) 2.0))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
240×times-frac
161×add-sqr-sqrt
125×add-cube-cbrt *-un-lft-identity
49×associate-*r*
46×add-exp-log add-cbrt-cube
45×associate-*l*
22×cbrt-undiv div-exp
16×associate-/l*
14×div-inv
12×associate-/r/
9×prod-exp cbrt-unprod unswap-sqr
6×associate-/r*
5×pow1
4×flip3-- flip--
3×add-log-exp
2×frac-2neg flip3-+ clear-num flip-+
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative associate-/l/
Counts
3 → 234
Calls
3 calls:
7.0ms
(/ i (- (* 2.0 i) (sqrt 1.0)))
9.0ms
(/ (/ i 2.0) (+ (* 2.0 i) (sqrt 1.0)))
51.0ms
(* (/ (/ i 2.0) (+ (* 2.0 i) (sqrt 1.0))) (/ (/ i (- (* 2.0 i) (sqrt 1.0))) 2.0))

series25.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ i (- (* 2.0 i) (sqrt 1.0)))
6.0ms
(/ (/ i 2.0) (+ (* 2.0 i) (sqrt 1.0)))
14.0ms
(* (/ (/ i 2.0) (+ (* 2.0 i) (sqrt 1.0))) (/ (/ i (- (* 2.0 i) (sqrt 1.0))) 2.0))

simplify380.0ms

Counts
243 → 243
Iterations

Useful iterations: done (371.0ms)

IterNodesCost
04315884
114105722
done50005622

prune859.0ms

Filtered
223 candidates to 243 candidates (-9.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2421243
Fresh101
Picked011
Done000
Total2432245

Merged error: 0b

Counts
245 → 2

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
5×add-sqr-sqrt
4×cbrt-undiv times-frac div-exp associate-/r*
3×add-cube-cbrt *-un-lft-identity
2×prod-exp associate-/r/ cbrt-unprod difference-of-squares
1×pow1 flip3-- frac-2neg associate-*l/ clear-num flip-- div-inv associate-/l/ associate-/l* add-log-exp
Counts
1 → 28
Calls
1 calls:
13.0ms
(/ (* (/ i 2.0) i) (- (* (* 2.0 i) (* 2.0 i)) 1.0))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(/ (* (/ i 2.0) i) (- (* (* 2.0 i) (* 2.0 i)) 1.0))

simplify671.0ms

Counts
31 → 31
Iterations

Useful iterations: done (669.0ms)

IterNodesCost
0100674
1280669
21261543
done5000526

prune41.0ms

Filtered
23 candidates to 31 candidates (-34.8%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New31031
Fresh000
Picked011
Done011
Total31233

Merged error: 0b

Counts
33 → 2

regimes28.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01221
11521
done1521

end0.0ms

sample718.0ms

Algorithm
intervals
Results
463.0ms8000×body80valid
91.0ms8000×pre80true

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