Details

Time bar (total: 20.9s)

sample140.0ms

Algorithm
intervals
Results
24.0ms256×body80valid

simplify26.0ms

Counts
1 → 1
Iterations
IterNodes
731
631
529
424
320
216
113
06

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite53.0ms

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-+ insert-posit16 div-inv flip-- add-log-exp
Counts
1 → 96
Calls
1 calls:
47.0ms
(/ (- (+ f n)) (- f n))

series148.0ms

Counts
1 → 3
Calls
1 calls:
148.0ms
(/ (- (+ f n)) (- f n))

simplify2.1s

Counts
99 → 99
Iterations
IterNodes
45587
31845
2698
1311
0134

prune546.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite51.0ms

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 insert-posit16 add-log-exp associate-/l/
1×flip3-- div-sub flip--
Counts
2 → 170
Calls
2 calls:
27.0ms
(/ -1 (/ (- f n) (+ f n)))
18.0ms
(/ (- f n) (+ f n))

series228.0ms

Counts
2 → 6
Calls
2 calls:
100.0ms
(/ -1 (/ (- f n) (+ f n)))
127.0ms
(/ (- f n) (+ f n))

simplify3.3s

Counts
176 → 176
Iterations
IterNodes
35930
21869
1584
0221

prune917.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite154.0ms

Algorithm
rewrite-expression-head
Rules
889×*-un-lft-identity
586×times-frac
471×add-sqr-sqrt
436×cbrt-prod
241×add-cube-cbrt
224×distribute-rgt-neg-in
196×distribute-lft-neg-in
149×swap-sqr
143×distribute-lft-out--
126×distribute-lft-out
103×difference-of-squares
69×associate-*r* associate-*l*
42×neg-mul-1
36×associate-/l*
15×associate-/r*
14×associate-/r/
12×add-exp-log
11×pow1
10×add-cbrt-cube
9×unswap-sqr
7×flip3-- div-inv flip--
6×pow1/3 distribute-neg-frac associate-/l/
4×cbrt-div insert-posit16 add-log-exp
3×neg-sub0 cbrt-undiv clear-num frac-2neg flip3-+ div-sub div-exp distribute-frac-neg flip-+
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 → 606
Calls
4 calls:
75.0ms
(* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))
20.0ms
(/ (- (+ f n)) (- f n))
23.0ms
(/ (- (+ f n)) (- f n))
20.0ms
(/ (- (+ f n)) (- f n))

series954.0ms

Counts
4 → 12
Calls
4 calls:
283.0ms
(* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))
122.0ms
(/ (- (+ f n)) (- f n))
460.0ms
(/ (- (+ f n)) (- f n))
90.0ms
(/ (- (+ f n)) (- f n))

simplify4.2s

Counts
618 → 618
Iterations
IterNodes
33183
21442
1687
0389

prune4.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ f n))
0.5b
(cbrt (- f n))
0.5b
(cbrt (- f n))
0.5b
(cbrt (- f n))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
19×cbrt-prod
16×*-un-lft-identity
14×add-sqr-sqrt
8×cbrt-div add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 add-log-exp
3×flip3-- flip-- distribute-lft-out-- difference-of-squares
1×flip3-+ flip-+ distribute-lft-out
Counts
4 → 63
Calls
4 calls:
5.0ms
(cbrt (+ f n))
5.0ms
(cbrt (- f n))
5.0ms
(cbrt (- f n))
6.0ms
(cbrt (- f n))

series852.0ms

Counts
4 → 12
Calls
4 calls:
190.0ms
(cbrt (+ f n))
217.0ms
(cbrt (- f n))
209.0ms
(cbrt (- f n))
236.0ms
(cbrt (- f n))

simplify1.2s

Counts
75 → 75
Iterations
IterNodes
43007
31169
2483
1222
0104

prune707.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes84.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
28
18
07

end0.0ms

sample779.0ms

Algorithm
intervals
Results
619.0ms8000×body80valid