Details

Time bar (total: 12.4s)

sample133.0ms

Algorithm
intervals
Results
73.0ms256×body80valid

simplify43.0ms

Counts
1 → 1
Iterations
IterNodes
done32
632
530
426
320
216
113
06

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite41.0ms

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:
36.0ms
(/ (- (+ f n)) (- f n))

series135.0ms

Counts
1 → 3
Calls
1 calls:
135.0ms
(/ (- (+ f n)) (- f n))

simplify1.1s

Counts
99 → 99
Iterations
IterNodes
done5001
21058
1312
0134

prune284.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite50.0ms

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:
14.0ms
(/ -1 (/ (- f n) (+ f n)))
33.0ms
(/ (- f n) (+ f n))

series212.0ms

Counts
2 → 6
Calls
2 calls:
123.0ms
(/ -1 (/ (- f n) (+ f n)))
89.0ms
(/ (- f n) (+ f n))

simplify2.0s

Counts
176 → 176
Iterations
IterNodes
done5002
23088
1602
0221

prune596.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite145.0ms

Algorithm
rewrite-expression-head
Rules
190×*-un-lft-identity
155×times-frac
114×add-sqr-sqrt
54×add-cube-cbrt
35×distribute-lft-out--
28×associate-/r/ distribute-lft-out
25×associate-/r*
20×difference-of-squares
15×distribute-rgt-out--
13×div-inv
12×flip3-+ flip-+
10×add-cbrt-cube add-exp-log
9×associate-/l*
6×add-log-exp
4×pow1 insert-posit16
3×cbrt-undiv clear-num frac-2neg div-exp
2×flip3-- frac-sub flip-- sub-div
1×sub-neg diff-log
Counts
4 → 185
Calls
4 calls:
54.0ms
(/ -1 (- (/ f (+ f n)) (/ n (+ f n))))
16.0ms
(/ n (+ f n))
20.0ms
(/ f (+ f n))
49.0ms
(- (/ f (+ f n)) (/ n (+ f n)))

series392.0ms

Counts
4 → 12
Calls
4 calls:
134.0ms
(/ -1 (- (/ f (+ f n)) (/ n (+ f n))))
74.0ms
(/ n (+ f n))
80.0ms
(/ f (+ f n))
105.0ms
(- (/ f (+ f n)) (/ n (+ f n)))

simplify1.5s

Counts
197 → 197
Iterations
IterNodes
done5000
22006
1502
0244

prune693.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize96.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ n (+ f n)) (/ n (+ f n)))
0.1b
(* (/ n (+ f n)) (/ n (+ f n)))
0.1b
(* (/ f (+ f n)) (/ f (+ f n)))
0.1b
(* (/ f (+ f n)) (/ f (+ f n)))

rewrite172.0ms

Algorithm
rewrite-expression-head
Rules
316×*-un-lft-identity
256×times-frac
196×add-sqr-sqrt
148×add-cube-cbrt
96×swap-sqr
72×associate-*r* associate-*l* distribute-lft-out
52×add-cbrt-cube add-exp-log
32×pow1 associate-/r/
16×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ div-inv unswap-sqr
4×pow2 frac-times pow-plus pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up insert-posit16 add-log-exp
Counts
4 → 356
Calls
4 calls:
32.0ms
(* (/ n (+ f n)) (/ n (+ f n)))
39.0ms
(* (/ n (+ f n)) (/ n (+ f n)))
33.0ms
(* (/ f (+ f n)) (/ f (+ f n)))
58.0ms
(* (/ f (+ f n)) (/ f (+ f n)))

series408.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(* (/ n (+ f n)) (/ n (+ f n)))
92.0ms
(* (/ n (+ f n)) (/ n (+ f n)))
116.0ms
(* (/ f (+ f n)) (/ f (+ f n)))
98.0ms
(* (/ f (+ f n)) (/ f (+ f n)))

simplify1.0s

Counts
368 → 368
Iterations
IterNodes
done5000
1807
0222

prune2.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes66.0ms

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
done9
19
08

end0.0ms

sample1.2s

Algorithm
intervals
Results
1.1s8000×body80valid