Details

Time bar (total: 12.9s)

sample85.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify128.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
068
1138
2168
3208
4268
5308
6328
done328

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 1 expressions with local error:

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

rewrite105.0ms

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-cbrt-cube add-exp-log
2×associate-/r/ distribute-neg-frac associate-/l/
1×neg-sub0 pow1 cbrt-undiv clear-num frac-2neg flip3-+ flip3-- div-sub div-exp distribute-frac-neg flip-+ div-inv flip-- add-log-exp
Counts
1 → 95
Calls
1 calls:
93.0ms
(/ (- (+ f n)) (- f n))

series1.0s

Counts
1 → 3
Calls
1 calls:
1.0s
(/ (- (+ f n)) (- f n))

simplify594.0ms

Counts
98 → 98
Iterations

Useful iterations: done (589.0ms)

IterNodesCost
01331451
13111378
210641348
done50021341

prune365.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite58.0ms

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-cbrt-cube add-exp-log
8×associate-/l*
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv div-exp
2×pow1 clear-num frac-2neg add-log-exp associate-/l/
1×flip3-- div-sub flip--
Counts
2 → 168
Calls
2 calls:
19.0ms
(/ -1 (/ (- f n) (+ f n)))
26.0ms
(/ (- f n) (+ f n))

series198.0ms

Counts
2 → 6
Calls
2 calls:
111.0ms
(/ -1 (/ (- f n) (+ f n)))
87.0ms
(/ (- f n) (+ f n))

simplify1.5s

Counts
174 → 174
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02192920
16002729
231352604
done50002569

prune699.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
301×*-un-lft-identity
240×times-frac
217×add-sqr-sqrt
198×cbrt-prod
119×add-cube-cbrt
84×distribute-lft-neg-in distribute-rgt-neg-in
49×distribute-lft-out-- difference-of-squares
42×distribute-lft-out
21×neg-mul-1
12×associate-/l*
8×associate-/r/
6×add-cbrt-cube add-exp-log
5×associate-/r*
4×pow1 flip3-- div-inv flip-- add-log-exp
3×cbrt-div pow1/3
2×distribute-neg-frac associate-/l/
1×neg-sub0 cbrt-undiv clear-num frac-2neg flip3-+ div-sub div-exp distribute-frac-neg flip-+
Counts
4 → 320
Calls
4 calls:
28.0ms
(/ (- (+ f n)) (- f n))
29.0ms
(cbrt (/ (- (+ f n)) (- f n)))
22.0ms
(cbrt (/ (- (+ f n)) (- f n)))
12.0ms
(cbrt (/ (- (+ f n)) (- f n)))

series1.1s

Counts
4 → 12
Calls
4 calls:
120.0ms
(/ (- (+ f n)) (- f n))
306.0ms
(cbrt (/ (- (+ f n)) (- f n)))
345.0ms
(cbrt (/ (- (+ f n)) (- f n)))
368.0ms
(cbrt (/ (- (+ f n)) (- f n)))

simplify745.0ms

Counts
332 → 332
Iterations

Useful iterations: done (722.0ms)

IterNodesCost
02165792
14055512
211835422
done50005385

prune1.4s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite203.0ms

Algorithm
rewrite-expression-head
Rules
306×*-un-lft-identity
238×cbrt-prod
190×times-frac
174×add-sqr-sqrt
86×add-cube-cbrt
53×distribute-lft-out
51×swap-sqr
44×distribute-lft-out--
32×difference-of-squares
29×associate-*r* associate-*l*
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-+ flip-+ div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 244
Calls
4 calls:
12.0ms
(cbrt (/ (- f n) (+ f n)))
15.0ms
(cbrt (/ (- f n) (+ f n)))
14.0ms
(cbrt (/ (- f n) (+ f n)))
132.0ms
(* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))

series1.2s

Counts
4 → 12
Calls
4 calls:
325.0ms
(cbrt (/ (- f n) (+ f n)))
325.0ms
(cbrt (/ (- f n) (+ f n)))
331.0ms
(cbrt (/ (- f n) (+ f n)))
201.0ms
(* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n))))

simplify1.3s

Counts
256 → 256
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01835350
13384951
213324830
done50004654

prune1.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes151.0ms

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
079
189
done89

end0.0ms

sample577.0ms

Algorithm
intervals
Results
356.0ms8000×body80valid