Details

Time bar (total: 15.5s)

sample32.0ms

Algorithm
intervals
Results
15.0ms256×body80valid
4.0ms256×pre80true

simplify6.0s

Counts
1 → 1
Iterations

Useful iterations: 4 (3.6s)

IterNodesCost
01025
13125
216423
389019
4335915
done500015

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* 2.0 (* 2.0 i)) (/ 1.0 i))
0.1b
(/ (/ i (* 2.0 2.0)) (- (* 2.0 (* 2.0 i)) (/ 1.0 i)))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
33×times-frac
18×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
11×add-exp-log add-cbrt-cube
7×associate-/l*
5×cbrt-undiv div-exp div-inv
4×add-log-exp
3×associate-/r*
2×pow1 flip3-- associate-/r/ flip--
1×sub-neg frac-2neg diff-log prod-exp clear-num cbrt-unprod associate-/l/
Counts
2 → 62
Calls
2 calls:
21.0ms
(- (* 2.0 (* 2.0 i)) (/ 1.0 i))
74.0ms
(/ (/ i (* 2.0 2.0)) (- (* 2.0 (* 2.0 i)) (/ 1.0 i)))

series228.0ms

Counts
2 → 6
Calls
2 calls:
118.0ms
(- (* 2.0 (* 2.0 i)) (/ 1.0 i))
110.0ms
(/ (/ i (* 2.0 2.0)) (- (* 2.0 (* 2.0 i)) (/ 1.0 i)))

simplify3.2s

Counts
68 → 68
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
01561548
13951521
211901361
343651355
done50001355

prune231.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* 2.0 (* 2.0 i)) (/ 1.0 i))
0.2b
(* (sqrt (/ i (* 2.0 2.0))) (/ (sqrt (/ i (* 2.0 2.0))) (- (* 2.0 (* 2.0 i)) (/ 1.0 i))))
0.3b
(/ (sqrt (/ i (* 2.0 2.0))) (- (* 2.0 (* 2.0 i)) (/ 1.0 i)))

rewrite265.0ms

Algorithm
rewrite-expression-head
Rules
100×times-frac
82×add-sqr-sqrt
70×sqrt-prod
49×add-cube-cbrt *-un-lft-identity
36×associate-*r*
12×unswap-sqr
10×add-exp-log associate-*l* add-cbrt-cube div-inv associate-/l*
5×pow1 add-log-exp
4×associate-/r/
3×flip3-- sqrt-div associate-/r* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod
1×frac-times sub-neg frac-2neg diff-log associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
3 → 144
Calls
3 calls:
32.0ms
(- (* 2.0 (* 2.0 i)) (/ 1.0 i))
170.0ms
(* (sqrt (/ i (* 2.0 2.0))) (/ (sqrt (/ i (* 2.0 2.0))) (- (* 2.0 (* 2.0 i)) (/ 1.0 i))))
56.0ms
(/ (sqrt (/ i (* 2.0 2.0))) (- (* 2.0 (* 2.0 i)) (/ 1.0 i)))

series494.0ms

Counts
3 → 9
Calls
3 calls:
107.0ms
(- (* 2.0 (* 2.0 i)) (/ 1.0 i))
226.0ms
(* (sqrt (/ i (* 2.0 2.0))) (/ (sqrt (/ i (* 2.0 2.0))) (- (* 2.0 (* 2.0 i)) (/ 1.0 i))))
161.0ms
(/ (sqrt (/ i (* 2.0 2.0))) (- (* 2.0 (* 2.0 i)) (/ 1.0 i)))

simplify1.5s

Counts
153 → 153
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02614214
16153889
220393588
done50003528

prune496.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 0.25 (pow i 2))
0.0b
(* 16.0 (pow i 6))
0.0b
(+ (* 16.0 (pow i 6)) (* 4.0 (pow i 4)))
0.0b
(- (* (* 0.25 (pow i 2)) (- 1.0)) (* 0.25 (+ (* 16.0 (pow i 6)) (* 4.0 (pow i 4)))))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
15×associate-*r*
14×add-exp-log
10×add-cube-cbrt *-un-lft-identity
8×unpow-prod-down add-cbrt-cube add-log-exp
7×unswap-sqr
6×associate-*l* prod-exp
4×pow1 sqr-pow
2×pow-to-exp pow-exp *-commutative cbrt-unprod associate--r+ unpow2
1×+-commutative distribute-rgt-in sub-neg flip3-- distribute-lft-in flip3-+ diff-log sum-log flip-- flip-+
Counts
4 → 77
Calls
4 calls:
12.0ms
(* 0.25 (pow i 2))
12.0ms
(* 16.0 (pow i 6))
16.0ms
(+ (* 16.0 (pow i 6)) (* 4.0 (pow i 4)))
36.0ms
(- (* (* 0.25 (pow i 2)) (- 1.0)) (* 0.25 (+ (* 16.0 (pow i 6)) (* 4.0 (pow i 4)))))

series440.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(* 0.25 (pow i 2))
60.0ms
(* 16.0 (pow i 6))
221.0ms
(+ (* 16.0 (pow i 6)) (* 4.0 (pow i 4)))
111.0ms
(- (* (* 0.25 (pow i 2)) (- 1.0)) (* 0.25 (+ (* 16.0 (pow i 6)) (* 4.0 (pow i 4)))))

simplify1.1s

Counts
89 → 89
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01541232
13911142
212851014
done5001979

prune348.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes21.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01015
11215
done1215

end0.0ms

sample871.0ms

Algorithm
intervals
Results
558.0ms8000×body80valid
148.0ms8000×pre80true