Details

Time bar (total: 50.6s)

sample94.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify234.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
233.0ms
(/ (- (+ f n)) (- f n))

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 1 expressions with local error:

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

rewrite39.0ms

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
32.0ms
(/ (- (+ f n)) (- f n))

series92.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
92.0ms
(/ (- (+ f n)) (- f n))

simplify3.8s

Counts
144 → 99
Calls
144 calls:
Slowest
304.0ms
(/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n)))
238.0ms
(- (- (* f f) (* n n)))
177.0ms
(- (+ (pow f 3) (pow n 3)))
117.0ms
(/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))
106.0ms
(/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))

prune722.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
317×*-un-lft-identity
188×times-frac
167×add-sqr-sqrt
85×add-cube-cbrt
56×distribute-lft-out
48×swap-sqr
47×distribute-lft-out--
35×difference-of-squares
26×associate-*r* associate-*l*
22×add-cbrt-cube add-exp-log
15×associate-/r*
14×associate-/r/
12×associate-/l*
11×pow1
7×cbrt-undiv flip3-- div-exp div-inv flip--
6×associate-/l/
4×prod-exp cbrt-unprod insert-posit16 add-log-exp unswap-sqr
3×clear-num frac-2neg flip3-+ flip-+
1×pow2 frac-times pow-plus pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up
Counts
4 → 267
Calls
4 calls:
Slowest
57.0ms
(* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
25.0ms
(/ (+ n f) (- f n))
24.0ms
(/ (+ n f) (- f n))
17.0ms
(/ (+ n f) (- f n))

series414.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
118.0ms
(/ (+ n f) (- f n))
110.0ms
(* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
94.0ms
(/ (+ n f) (- f n))
92.0ms
(/ (+ n f) (- f n))

simplify16.4s

Counts
344 → 279
Calls
344 calls:
Slowest
598.0ms
(* (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n))) (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n))))
510.0ms
(* (+ (* f f) (+ (* n n) (* f n))) (+ (* f f) (+ (* n n) (* f n))))
495.0ms
(* (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))))
340.0ms
(* (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n))) (/ (* (* (+ n f) (+ n f)) (+ n f)) (* (* (- f n) (- f n)) (- f n))))
324.0ms
(* (/ (+ n f) (- (* f f) (* n n))) (/ (+ n f) (- (* f f) (* n n))))

prune2.5s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (- f n) (+ f n))
0.0b
(/ -1 (/ (- f n) (+ f n)))

rewrite67.0ms

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
31.0ms
(/ -1 (/ (- f n) (+ f n)))
30.0ms
(/ (- f n) (+ f n))

series177.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
90.0ms
(/ -1 (/ (- f n) (+ f n)))
87.0ms
(/ (- f n) (+ f n))

simplify13.8s

Counts
249 → 176
Calls
249 calls:
Slowest
563.0ms
(/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n)))))
490.0ms
(/ (sqrt -1) (/ 1 (sqrt (+ f n))))
318.0ms
(/ (* (cbrt -1) (cbrt -1)) (/ (- f n) (- (* f f) (* n n))))
294.0ms
(/ (sqrt -1) (/ (- f n) (+ (pow f 3) (pow n 3))))
269.0ms
(/ (* (cbrt -1) (cbrt -1)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))))

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite168.0ms

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
70.0ms
(- (/ f (+ f n)) (/ n (+ f n)))
63.0ms
(/ -1 (- (/ f (+ f n)) (/ n (+ f n))))
15.0ms
(/ n (+ f n))
15.0ms
(/ f (+ f n))

series319.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
105.0ms
(- (/ f (+ f n)) (/ n (+ f n)))
104.0ms
(/ -1 (- (/ f (+ f n)) (/ n (+ f n))))
59.0ms
(/ n (+ f n))
50.0ms
(/ f (+ f n))

simplify8.2s

Counts
239 → 197
Calls
239 calls:
Slowest
493.0ms
(- (* f (+ f n)) (* (+ f n) n))
321.0ms
(/ (* (* n n) n) (* (* (+ f n) (+ f n)) (+ f n)))
309.0ms
(/ -1 (- (/ f (+ (pow f 3) (pow n 3))) (/ n (+ (pow f 3) (pow n 3)))))
305.0ms
(/ (cbrt -1) (- (/ f (+ (pow f 3) (pow n 3))) (/ n (+ (pow f 3) (pow n 3)))))
271.0ms
(/ (sqrt -1) (- (/ f (+ (pow f 3) (pow n 3))) (/ n (+ (pow f 3) (pow n 3)))))

prune1.3s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes61.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample815.0ms

Algorithm
intervals
Results
647.0ms8000×body80valid