Details

Time bar (total: 16.3s)

sample96.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify47.0ms

Counts
1 → 1

prune6.0ms

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))

rewrite58.0ms

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
49.0ms
(/ (- (+ f n)) (- f n))

series226.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
225.0ms
(/ (- (+ f n)) (- f n))

simplify870.0ms

Counts
99 → 99

prune819.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- f n) (+ f n))
0.0b
(/ -1 (/ (- 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
20.0ms
(/ (- f n) (+ f n))
12.0ms
(/ -1 (/ (- f n) (+ f n)))

series214.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
110.0ms
(/ -1 (/ (- f n) (+ f n)))
104.0ms
(/ (- f n) (+ f n))

simplify1.3s

Counts
176 → 176

prune1.4s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ -1 (- (/ f (+ f n)) (/ n (+ f n))))
0.0b
(- (/ f (+ f n)) (/ n (+ f n)))
0.0b
(/ n (+ f n))
0.0b
(/ f (+ 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
75.0ms
(/ -1 (- (/ f (+ f n)) (/ n (+ f n))))
70.0ms
(- (/ f (+ f n)) (/ n (+ f n)))
12.0ms
(/ n (+ f n))
7.0ms
(/ f (+ f n))

series376.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
131.0ms
(/ -1 (- (/ f (+ f n)) (/ n (+ f n))))
122.0ms
(- (/ f (+ f n)) (/ n (+ f n)))
74.0ms
(/ n (+ f n))
50.0ms
(/ f (+ f n))

simplify1.7s

Counts
197 → 197

prune1.5s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

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

rewrite215.0ms

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:
Slowest
58.0ms
(* (/ n (+ n f)) (/ n (+ n f)))
56.0ms
(* (/ f (+ f n)) (/ f (+ f n)))
54.0ms
(* (/ f (+ n f)) (/ f (+ n f)))
39.0ms
(* (/ n (+ f n)) (/ n (+ f n)))

series315.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
100.0ms
(* (/ n (+ n f)) (/ n (+ n f)))
72.0ms
(* (/ n (+ f n)) (/ n (+ f n)))
72.0ms
(* (/ f (+ f n)) (/ f (+ f n)))
70.0ms
(* (/ f (+ n f)) (/ f (+ n f)))

simplify585.0ms

Counts
368 → 368

prune5.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes149.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample859.0ms

Algorithm
intervals
Results
667.0ms8000×body80valid