Details

Time bar (total: 5.4s)

sample32.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
8.0ms256×pre80true

simplify649.0ms

Counts
1 → 1
Iterations

Useful iterations: done (649.0ms)

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))

rewrite57.0ms

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:
38.0ms
(* (/ i 2.0) (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0))
11.0ms
(/ 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))

simplify806.0ms

Counts
140 → 140
Iterations

Useful iterations: 2 (300.0ms)

IterNodesCost
02953073
19522969
242092619
done50002619

prune300.0ms

Filtered
113 candidates to 140 candidates (-23.9%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1382140
Fresh101
Picked101
Done000
Total1402142

Merged error: 0b

Counts
142 → 2

localize12.0ms

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))

rewrite87.0ms

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)))
10.0ms
(/ (/ i 2.0) (+ (* 2.0 i) (sqrt 1.0)))
56.0ms
(* (/ (/ i 2.0) (+ (* 2.0 i) (sqrt 1.0))) (/ (/ i (- (* 2.0 i) (sqrt 1.0))) 2.0))

series26.0ms

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))

simplify419.0ms

Counts
243 → 243
Iterations

Useful iterations: done (405.0ms)

IterNodesCost
04315884
114105670
done50005525

prune946.0ms

Filtered
203 candidates to 243 candidates (-19.7%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2430243
Fresh011
Picked011
Done000
Total2432245

Merged error: 0b

Counts
245 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (/ 1 (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0)
0.2b
(/ 1 (- (* (* 2.0 i) (* 2.0 i)) 1.0))
15.6b
(* (* (/ i 2.0) i) (/ (/ 1 (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
204×times-frac
131×add-sqr-sqrt
106×add-cube-cbrt *-un-lft-identity
76×add-exp-log
58×associate-*r*
46×add-cbrt-cube
31×div-exp
25×prod-exp difference-of-squares
21×associate-/l*
16×cbrt-undiv associate-/r/
15×cbrt-unprod
10×div-inv
9×pow1
8×flip3-- flip--
7×associate-/r*
5×rec-exp 1-exp
3×pow-prod-down associate-*l/ add-log-exp
2×frac-2neg clear-num
1×frac-times pow-flip associate-*r/ associate-*l* *-commutative associate-/l/ inv-pow
Counts
3 → 225
Calls
3 calls:
15.0ms
(/ (/ 1 (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0)
11.0ms
(/ 1 (- (* (* 2.0 i) (* 2.0 i)) 1.0))
28.0ms
(* (* (/ i 2.0) i) (/ (/ 1 (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0))

series15.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ (/ 1 (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0)
4.0ms
(/ 1 (- (* (* 2.0 i) (* 2.0 i)) 1.0))
6.0ms
(* (* (/ i 2.0) i) (/ (/ 1 (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0))

simplify853.0ms

Counts
234 → 234
Iterations

Useful iterations: 2 (397.0ms)

IterNodesCost
03675617
111065210
247114409
done50004409

prune382.0ms

Filtered
140 candidates to 234 candidates (-67.1%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2340234
Fresh000
Picked011
Done011
Total2342236

Merged error: 0b

Counts
236 → 2

regimes27.0ms

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

sample705.0ms

Algorithm
intervals
Results
444.0ms8000×body80valid
92.0ms8000×pre80true

Profiling

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