Details

Time bar (total: 16.3s)

sample56.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify56.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
068
1138
2168
3208
4268
5298
6318
done318

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))

rewrite43.0ms

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:
37.0ms
(/ (- (+ f n)) (- f n))

series119.0ms

Counts
1 → 3
Calls
1 calls:
119.0ms
(/ (- (+ f n)) (- f n))

simplify3.2s

Counts
100 → 100
Iterations

Useful iterations: 3 (776.0ms)

IterNodesCost
01351469
12921395
27021365
319071357
done50001357

prune280.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite100.0ms

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 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
1×flip3-- div-sub flip--
Counts
2 → 172
Calls
2 calls:
37.0ms
(/ (- f n) (+ f n))
53.0ms
(/ -1 (/ (- f n) (+ f n)))

series188.0ms

Counts
2 → 6
Calls
2 calls:
85.0ms
(/ (- f n) (+ f n))
103.0ms
(/ -1 (/ (- f n) (+ f n)))

simplify1.7s

Counts
178 → 178
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02232956
15142743
217712611
done50002597

prune522.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite144.0ms

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×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
3 → 521
Calls
3 calls:
24.0ms
(/ 1 (+ f n))
19.0ms
(/ -1 (- f n))
52.0ms
(/ (/ -1 (- f n)) (/ 1 (+ f n)))

series221.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(/ 1 (+ f n))
56.0ms
(/ -1 (- f n))
123.0ms
(/ (/ -1 (- f n)) (/ 1 (+ f n)))

simplify2.6s

Counts
530 → 530
Iterations

Useful iterations: 2 (1.3s)

IterNodesCost
064612597
1178410305
246039522
done50009522

prune1.1s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
21×associate-*l*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×associate-/r*
4×pow1 associate-*r* associate-/r/
3×associate-/l*
2×cbrt-undiv expm1-log1p-u frac-times flip3-- flip3-+ associate-*r/ div-exp prod-exp flip-- cbrt-unprod flip-+ log1p-expm1-u div-inv add-log-exp unswap-sqr
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down associate-*l/ clear-num *-commutative distribute-lft-out
Counts
2 → 88
Calls
2 calls:
16.0ms
(/ -1 (- f n))
56.0ms
(* (/ -1 (- f n)) (+ f n))

series190.0ms

Counts
2 → 6
Calls
2 calls:
72.0ms
(/ -1 (- f n))
118.0ms
(* (/ -1 (- f n)) (+ f n))

simplify4.2s

Counts
94 → 94
Iterations

Useful iterations: 3 (2.7s)

IterNodesCost
01311006
1426941
21341867
34373864
done5000864

prune313.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes48.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
11211
done1211

end0.0ms

sample1.1s

Algorithm
intervals
Results
791.0ms8000×body80valid