Details

Time bar (total: 41.9s)

sample99.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify42.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
42.0ms
(/ (- (+ f n)) (- f n))

prune5.0ms

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))

rewrite33.0ms

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
30.0ms
(/ (- (+ f n)) (- f n))

series249.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
249.0ms
(/ (- (+ f n)) (- f n))

simplify3.7s

Counts
144 → 99
Calls
144 calls:
Slowest
275.0ms
(/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n)))
204.0ms
(- (+ (pow f 3) (pow n 3)))
191.0ms
(- (- (* f f) (* n n)))
144.0ms
(/ (- (+ f n)) (- f n))
142.0ms
(/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))

prune732.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

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
19.0ms
(/ (- f n) (+ f n))
14.0ms
(/ -1 (/ (- f n) (+ f n)))

series230.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
117.0ms
(/ -1 (/ (- f n) (+ f n)))
113.0ms
(/ (- f n) (+ f n))

simplify13.3s

Counts
249 → 176
Calls
249 calls:
Slowest
491.0ms
(/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n)))))
294.0ms
(/ (* (cbrt -1) (cbrt -1)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))))
276.0ms
(/ (* (* -1 -1) -1) (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ f n) (+ f n)) (+ f n))))
274.0ms
(/ 1 (/ (- f n) (+ (pow f 3) (pow n 3))))
272.0ms
(/ (sqrt -1) (/ (- f n) (+ (pow f 3) (pow n 3))))

prune1.3s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.6s

Algorithm
rewrite-expression-head
Rules
599256×times-frac
402832×*-un-lft-identity
272542×add-sqr-sqrt
168310×add-cube-cbrt
65145×distribute-lft-out
56243×cbrt-prod
52116×distribute-lft-out-- difference-of-squares
27520×associate-/r/
14491×div-inv
13029×flip3-+ flip-+
2249×associate-/l*
95×add-cbrt-cube add-exp-log
78×associate-/r*
69×cbrt-undiv div-exp
4×pow1 insert-posit16 add-log-exp
3×clear-num frac-2neg
2×associate-/l/
1×cbrt-div pow1/3
Counts
4 → 117136
Calls
4 calls:
Slowest
717.0ms
(/ (/ (/ -1 (/ (- f n) (+ f n))) (/ (- f n) (+ f n))) (/ (- f n) (+ f n)))
672.0ms
(cbrt (/ (/ (/ -1 (/ (- f n) (+ f n))) (/ (- f n) (+ f n))) (/ (- f n) (+ f n))))
106.0ms
(/ (/ -1 (/ (- f n) (+ f n))) (/ (- f n) (+ f n)))
13.0ms
(/ -1 (/ (- f n) (+ f n)))

series521.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
165.0ms
(cbrt (/ (/ (/ -1 (/ (- f n) (+ f n))) (/ (- f n) (+ f n))) (/ (- f n) (+ f n))))
121.0ms
(/ -1 (/ (- f n) (+ f n)))
119.0ms
(/ (/ -1 (/ (- f n) (+ f n))) (/ (- f n) (+ f n)))
115.0ms
(/ (/ (/ -1 (/ (- f n) (+ f n))) (/ (- f n) (+ f n))) (/ (- f n) (+ f n)))