Details

Time bar (total: 3.1s)

sample310.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify13.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0134
1164
2204
3264
4314
5334
6334
done334

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- (+ f n)) (- f n))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
82×*-un-lft-identity
60×times-frac
58×add-sqr-sqrt
32×add-cube-cbrt
24×distribute-lft-neg-in distribute-rgt-neg-in
13×distribute-lft-out-- difference-of-squares
12×distribute-lft-out associate-/l*
6×neg-mul-1
5×associate-/r*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/ distribute-neg-frac
1×pow1 cbrt-undiv neg-sub0 flip3-- frac-2neg flip3-+ div-sub distribute-frac-neg div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 95
Calls
1 calls:
60.0ms
(/ (- (+ f n)) (- f n))

series81.0ms

Counts
1 → 3
Calls
1 calls:
81.0ms
(/ (- (+ f n)) (- f n))

simplify64.0ms

Counts
98 → 98
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0288764
1915748
22934733
35002733
done5002733

prune145.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- 1) (/ (- f n) (+ f n)))
0.0b
(/ (- f n) (+ f n))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
500×times-frac
424×*-un-lft-identity
302×add-sqr-sqrt
204×add-cube-cbrt
81×distribute-lft-neg-in distribute-rgt-neg-in
61×distribute-lft-out
49×distribute-lft-out-- difference-of-squares
30×associate-/r*
27×neg-mul-1
25×associate-/r/
15×associate-/l*
13×div-inv
12×flip3-+ flip-+
9×add-exp-log add-cbrt-cube
4×cbrt-undiv div-exp
2×pow1 frac-2neg div-sub clear-num associate-/l/ add-log-exp
1×neg-sub0 flip3-- distribute-frac-neg flip--
Counts
2 → 359
Calls
2 calls:
31.0ms
(/ (- 1) (/ (- f n) (+ f n)))
21.0ms
(/ (- f n) (+ f n))

series138.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(/ (- 1) (/ (- f n) (+ f n)))
70.0ms
(/ (- f n) (+ f n))

simplify58.0ms

Counts
365 → 365
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
010173937
150013550
done50013550

prune436.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ n (+ f n))
0.0b
(/ f (+ f n))
0.0b
(/ (- 1) (- (/ f (+ f n)) (/ n (+ f n))))
0.0b
(- (/ f (+ f n)) (/ n (+ f n)))

rewrite220.0ms

Algorithm
rewrite-expression-head
Rules
415×*-un-lft-identity
386×times-frac
255×add-sqr-sqrt
111×add-cube-cbrt
84×distribute-lft-out--
56×associate-/r/ distribute-lft-out
54×distribute-lft-neg-in distribute-rgt-neg-in
48×difference-of-squares
36×distribute-rgt-out--
27×div-inv
26×flip3-+ flip-+
25×associate-/r*
18×neg-mul-1
16×associate-/l*
10×add-exp-log add-cbrt-cube
6×add-log-exp
4×pow1
3×cbrt-undiv frac-2neg div-exp clear-num
2×flip3-- frac-sub flip-- sub-div
1×neg-sub0 sub-neg diff-log div-sub distribute-frac-neg
Counts
4 → 309
Calls
4 calls:
11.0ms
(/ n (+ f n))
12.0ms
(/ f (+ f n))
99.0ms
(/ (- 1) (- (/ f (+ f n)) (/ n (+ f n))))
74.0ms
(- (/ f (+ f n)) (/ n (+ f n)))

series248.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(/ n (+ f n))
40.0ms
(/ f (+ f n))
87.0ms
(/ (- 1) (- (/ f (+ f n)) (/ n (+ f n))))
79.0ms
(- (/ f (+ f n)) (/ n (+ f n)))

simplify86.0ms

Counts
321 → 321
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
07313367
129383131
250012827
done50012827

prune362.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (* (cbrt 1) (cbrt 1)) (- f n))
0.2b
(* (/ (* (cbrt 1) (cbrt 1)) (- f n)) (* (- (cbrt 1)) (+ f n)))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log
22×add-cbrt-cube
12×add-sqr-sqrt *-un-lft-identity prod-exp cbrt-unprod
11×associate-*l*
10×times-frac
7×pow1
6×cbrt-undiv add-cube-cbrt associate-*r/ div-exp
5×associate-/r*
4×distribute-rgt-in distribute-lft-in associate-/r/
3×pow-prod-down distribute-lft-out-- difference-of-squares
2×frac-times flip3-- flip3-+ flip-- flip-+ div-inv add-log-exp
1×distribute-lft-neg-out frac-2neg associate-*r* associate-*l/ clear-num *-commutative distribute-rgt-neg-out associate-/l*
Counts
2 → 71
Calls
2 calls:
17.0ms
(/ (* (cbrt 1) (cbrt 1)) (- f n))
69.0ms
(* (/ (* (cbrt 1) (cbrt 1)) (- f n)) (* (- (cbrt 1)) (+ f n)))

series109.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ (* (cbrt 1) (cbrt 1)) (- f n))
72.0ms
(* (/ (* (cbrt 1) (cbrt 1)) (- f n)) (* (- (cbrt 1)) (+ f n)))

simplify62.0ms

Counts
77 → 77
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0440790
12564619
25002486
done5002486

prune131.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes41.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0147
1147
done147

end0.0ms

sample354.0ms

Algorithm
intervals
Results
171.0ms8000×body80valid