Details

Time bar (total: 16.1s)

sample107.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify116.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
068
1138
2168
3208
4268
5308
6328
done328

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 1 expressions with local error:

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

rewrite87.0ms

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 expm1-log1p-u flip3-- frac-2neg flip3-+ div-sub distribute-frac-neg div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 97
Calls
1 calls:
72.0ms
(/ (- (+ f n)) (- f n))

series153.0ms

Counts
1 → 3
Calls
1 calls:
153.0ms
(/ (- (+ f n)) (- f n))

simplify1.0s

Counts
100 → 100
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01351469
13161395
210801367
done50011358

prune473.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite210.0ms

Algorithm
rewrite-expression-head
Rules
498×times-frac
438×*-un-lft-identity
334×add-sqr-sqrt
212×add-cube-cbrt
104×distribute-lft-neg-in distribute-rgt-neg-in
78×associate-/r*
61×distribute-lft-out-- difference-of-squares
52×distribute-lft-out
26×neg-mul-1
15×add-exp-log
11×associate-/r/
10×distribute-neg-frac
9×add-cbrt-cube
8×div-exp associate-/l*
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv
3×pow1
2×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 386
Calls
2 calls:
66.0ms
(/ (- f n) (- (+ f n)))
87.0ms
(/ 1 (/ (- f n) (- (+ f n))))

series237.0ms

Counts
2 → 6
Calls
2 calls:
115.0ms
(/ (- f n) (- (+ f n)))
122.0ms
(/ 1 (/ (- f n) (- (+ f n))))

simplify1.1s

Counts
392 → 392
Iterations

Useful iterations: done (1.0s)

IterNodesCost
03937392
111036305
done50016131

prune1.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

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

rewrite446.0ms

Algorithm
rewrite-expression-head
Rules
1572×times-frac
1208×*-un-lft-identity
948×add-sqr-sqrt
636×add-cube-cbrt
609×cbrt-prod
260×distribute-lft-neg-in distribute-rgt-neg-in
156×distribute-lft-out-- difference-of-squares
130×distribute-lft-out
66×associate-/r*
65×neg-mul-1
30×associate-/r/
26×distribute-neg-frac
17×div-inv
15×add-exp-log
13×flip3-+ flip-+
9×add-cbrt-cube
7×div-exp
5×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv cbrt-div pow1/3 associate-/l*
2×rec-exp 1-exp
1×pow-flip frac-2neg clear-num inv-pow
Counts
4 → 932
Calls
4 calls:
89.0ms
(/ 1 (/ (- f n) (- (+ f n))))
61.0ms
(cbrt (/ 1 (/ (- f n) (- (+ f n)))))
58.0ms
(cbrt (/ 1 (/ (- f n) (- (+ f n)))))
56.0ms
(cbrt (/ 1 (/ (- f n) (- (+ f n)))))

series1.4s

Counts
4 → 12
Calls
4 calls:
133.0ms
(/ 1 (/ (- f n) (- (+ f n))))
436.0ms
(cbrt (/ 1 (/ (- f n) (- (+ f n)))))
412.0ms
(cbrt (/ 1 (/ (- f n) (- (+ f n)))))
428.0ms
(cbrt (/ 1 (/ (- f n) (- (+ f n)))))

simplify1.2s

Counts
944 → 944
Iterations

Useful iterations: done (1.1s)

IterNodesCost
061222419
1125718739
done500118573

prune2.4s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- f n))
0.1b
(* (- (+ f n)) (/ 1 (- f n)))

rewrite169.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
43×*-un-lft-identity
32×times-frac
24×add-cube-cbrt
21×associate-*r*
15×add-exp-log
12×associate-*l*
9×add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/r*
4×distribute-lft-neg-in distribute-rgt-neg-in div-exp prod-exp associate-/r/ distribute-neg-frac
3×associate-/l* unswap-sqr
2×cbrt-undiv expm1-log1p-u frac-times rec-exp flip3-- flip3-+ 1-exp associate-*l/ flip-- cbrt-unprod flip-+ log1p-expm1-u div-inv distribute-lft-out add-log-exp
1×distribute-lft-neg-out neg-mul-1 pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
2 → 103
Calls
2 calls:
25.0ms
(/ 1 (- f n))
136.0ms
(* (- (+ f n)) (/ 1 (- f n)))

series195.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(/ 1 (- f n))
130.0ms
(* (- (+ f n)) (/ 1 (- f n)))

simplify4.0s

Counts
109 → 109
Iterations

Useful iterations: done (4.0s)

IterNodesCost
01361201
13861043
22430898
done5000884

prune474.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes134.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11410
21510
done1510

end0.0ms

sample866.0ms

Algorithm
intervals
Results
525.0ms8000×body80valid