Details

Time bar (total: 3.6s)

sample329.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify14.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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))

rewrite65.0ms

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:
59.0ms
(/ (- (+ f n)) (- f n))

series84.0ms

Counts
1 → 3
Calls
1 calls:
84.0ms
(/ (- (+ f n)) (- f n))

simplify65.0ms

Counts
98 → 98
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0288764
1915748
22934733
35002733
done5002733

prune147.0ms

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))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
178×times-frac
174×*-un-lft-identity
122×add-sqr-sqrt
80×add-cube-cbrt
30×associate-/r*
26×distribute-lft-out
21×distribute-lft-out-- difference-of-squares
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×flip3-- div-sub flip--
Counts
2 → 168
Calls
2 calls:
22.0ms
(/ -1 (/ (- f n) (+ f n)))
22.0ms
(/ (- f n) (+ f n))

series134.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(/ -1 (/ (- f n) (+ f n)))
64.0ms
(/ (- f n) (+ f n))

simplify68.0ms

Counts
174 → 174
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05231449
125451405
250011287
done50011287

prune236.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
0.0b
(/ (- (+ f n)) (- f n))
0.0b
(pow (/ (- (+ f n)) (- f n)) 3)

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
374×*-un-lft-identity
300×times-frac
270×add-sqr-sqrt
148×add-cube-cbrt
138×cbrt-prod
132×unpow-prod-down cube-prod
104×distribute-lft-neg-in distribute-rgt-neg-in
61×distribute-lft-out-- difference-of-squares
52×distribute-lft-out
26×neg-mul-1
12×associate-/l*
10×associate-/r/
8×add-exp-log add-cbrt-cube
5×flip3-- associate-/r* flip-- div-inv
4×pow1
3×pow-unpow add-log-exp
2×cbrt-undiv cube-div cube-mult unpow3 distribute-frac-neg div-exp pow-exp associate-/l/ distribute-neg-frac rem-cube-cbrt sqr-pow
1×neg-sub0 pow-to-exp cbrt-div pow-pow frac-2neg flip3-+ pow1/3 div-sub cube-neg clear-num rem-cbrt-cube flip-+
Counts
3 → 396
Calls
3 calls:
36.0ms
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
34.0ms
(/ (- (+ f n)) (- f n))
33.0ms
(pow (/ (- (+ f n)) (- f n)) 3)

series257.0ms

Counts
3 → 9
Calls
3 calls:
109.0ms
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
68.0ms
(/ (- (+ f n)) (- f n))
80.0ms
(pow (/ (- (+ f n)) (- f n)) 3)

simplify126.0ms

Counts
405 → 405
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
09533782
146783469
250023469
done50023469

prune423.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
954×times-frac
631×*-un-lft-identity
491×add-sqr-sqrt
369×add-cube-cbrt
87×associate-/r/
70×distribute-lft-out
61×distribute-lft-out-- difference-of-squares
44×div-inv
31×add-exp-log
27×associate-/r* associate-/l*
23×flip3-+ flip-+
20×flip3-- flip--
19×div-exp add-cbrt-cube
10×cbrt-undiv
4×pow1
3×rec-exp frac-2neg 1-exp clear-num add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
3 → 515
Calls
3 calls:
41.0ms
(/ (/ -1 (- f n)) (/ 1 (+ f n)))
11.0ms
(/ -1 (- f n))
12.0ms
(/ 1 (+ f n))

series140.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(/ (/ -1 (- f n)) (/ 1 (+ f n)))
40.0ms
(/ -1 (- f n))
34.0ms
(/ 1 (+ f n))

simplify94.0ms

Counts
524 → 524
Iterations

Useful iterations: 1 (37.0ms)

IterNodesCost
018706334
150015846
done50015846

prune721.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes55.0ms

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
084
184
done84

end0.0ms

sample338.0ms

Algorithm
intervals
Results
167.0ms8000×body80valid