Details

Time bar (total: 2.3m)

sample130.0ms

Algorithm
intervals
Results
21.0ms256×body80valid

simplify38.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
37.0ms
(/ (- (+ f n)) (- f n))

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize378.0ms

Local error

Found 1 expressions with local error:

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

rewrite24.0ms

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:
Slowest
21.0ms
(/ (- (+ f n)) (- f n))

series88.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
87.0ms
(/ (- (+ f n)) (- f n))

simplify3.5s

Counts
144 → 99
Calls
144 calls:
Slowest
236.0ms
(- (- (* f f) (* n n)))
214.0ms
(- (+ (pow f 3) (pow n 3)))
143.0ms
(/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n)))
87.0ms
(/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))
69.0ms
(/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1)

prune782.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite44.0ms

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:
Slowest
22.0ms
(/ -1 (/ (- f n) (+ f n)))
15.0ms
(/ (- f n) (+ f n))

series224.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
114.0ms
(/ -1 (/ (- f n) (+ f n)))
109.0ms
(/ (- f n) (+ f n))

simplify13.3s

Counts
249 → 176
Calls
249 calls:
Slowest
535.0ms
(/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n)))))
299.0ms
(/ (sqrt -1) (/ (- f n) (+ (pow f 3) (pow n 3))))
298.0ms
(/ 1 (/ (- f n) (+ (pow f 3) (pow n 3))))
288.0ms
(/ (* (cbrt -1) (cbrt -1)) (/ (- f n) (- (* f f) (* n n))))
236.0ms
(/ (* (* -1 -1) -1) (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ f n) (+ f n)) (+ f n))))

prune1.4s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite69.0ms

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×add-cbrt-cube div-exp
10×cbrt-undiv
4×pow1
3×rec-exp clear-num frac-2neg 1-exp insert-posit16 add-log-exp
1×pow-flip inv-pow associate-/l/
Counts
3 → 518
Calls
3 calls:
Slowest
32.0ms
(/ (/ -1 (- f n)) (/ 1 (+ f n)))
8.0ms
(/ 1 (+ f n))
7.0ms
(/ -1 (- f n))

series201.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
107.0ms
(/ (/ -1 (- f n)) (/ 1 (+ f n)))
51.0ms
(/ -1 (- f n))
43.0ms
(/ 1 (+ f n))

simplify1.7m

Counts
892 → 527
Calls
892 calls:
Slowest
655.0ms
(/ (/ 1 (* (cbrt (- f n)) (cbrt (- f n)))) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))))
642.0ms
(/ (+ (* f f) (+ (* n n) (* f n))) (/ 1 (+ f n)))
633.0ms
(/ (/ (sqrt -1) (- f n)) (/ 1 (+ f n)))
572.0ms
(/ (/ (cbrt -1) (- f n)) (/ (cbrt 1) (sqrt (+ f n))))
545.0ms
(/ (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ f n))))

prune3.4s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite133.0ms

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:
Slowest
68.0ms
(- (/ f (+ f n)) (/ n (+ f n)))
44.0ms
(/ -1 (- (/ f (+ f n)) (/ n (+ f n))))
9.0ms
(/ n (+ f n))
8.0ms
(/ f (+ f n))

series318.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
104.0ms
(/ -1 (- (/ f (+ f n)) (/ n (+ f n))))
88.0ms
(- (/ f (+ f n)) (/ n (+ f n)))
71.0ms
(/ n (+ f n))
55.0ms
(/ f (+ f n))

simplify8.6s

Counts
239 → 197
Calls
239 calls:
Slowest
555.0ms
(- (* f (+ f n)) (* (+ f n) n))
364.0ms
(/ (sqrt -1) (- (/ f (+ (pow f 3) (pow n 3))) (/ n (+ (pow f 3) (pow n 3)))))
351.0ms
(- (/ f (+ (pow f 3) (pow n 3))) (/ n (+ (pow f 3) (pow n 3))))
347.0ms
(- (/ f (+ (pow f 3) (pow n 3))) (/ n (+ (pow f 3) (pow n 3))))
311.0ms
(/ (cbrt -1) (- (/ f (+ (pow f 3) (pow n 3))) (/ n (+ (pow f 3) (pow n 3)))))

prune1.4s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes94.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample750.0ms

Algorithm
intervals
Results
618.0ms8000×body80valid