Details

Time bar (total: 3.8s)

sample279.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0134
1164
2204
3264
4314
5334
6334

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

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-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/ distribute-neg-frac
1×pow1 cbrt-undiv neg-sub0 expm1-log1p-u flip3-- frac-2neg flip3-+ div-sub distribute-frac-neg div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 97
Calls
1 calls:
19.0ms
(/ (- (+ f n)) (- f n))

series83.0ms

Counts
1 → 3
Calls
1 calls:
82.0ms
(/ (- (+ f n)) (- f n))

simplify67.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0293774
1927758
23021743
35001743

prune156.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite37.0ms

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-exp-log add-cbrt-cube
8×associate-/l*
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
1×flip3-- div-sub flip--
Counts
2 → 172
Calls
2 calls:
16.0ms
(/ -1 (/ (- f n) (+ f n)))
12.0ms
(/ (- f n) (+ f n))

series126.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(/ -1 (/ (- f n) (+ f n)))
60.0ms
(/ (- f n) (+ f n))

simplify74.0ms

Algorithm
egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
05321466
125711420
250011301

prune240.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite174.0ms

Algorithm
rewrite-expression-head
Rules
708×*-un-lft-identity
599×times-frac
410×add-sqr-sqrt
350×add-cube-cbrt
324×prod-diff
139×distribute-lft-out
102×associate-/r/
50×div-inv
49×flip3-+ flip-+
35×distribute-lft-out--
25×associate-/r*
20×difference-of-squares
18×fma-neg
15×distribute-rgt-out--
10×add-exp-log add-cbrt-cube
9×associate-/l*
6×add-log-exp
4×pow1 expm1-log1p-u log1p-expm1-u
3×cbrt-undiv frac-2neg div-exp clear-num
2×flip3-- frac-sub flip-- sub-div
1×sub-neg diff-log
Counts
4 → 531
Calls
4 calls:
62.0ms
(/ -1 (- (/ f (+ f n)) (/ n (+ f n))))
7.0ms
(/ f (+ f n))
5.0ms
(/ n (+ f n))
59.0ms
(- (/ f (+ f n)) (/ n (+ f n)))

series233.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(/ -1 (- (/ f (+ f n)) (/ n (+ f n))))
37.0ms
(/ f (+ f n))
39.0ms
(/ n (+ f n))
76.0ms
(- (/ f (+ f n)) (/ n (+ f n)))

simplify164.0ms

Algorithm
egg-herbie
Counts
543 → 543
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
0111111859
138048297
250028297

prune776.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ n (+ f n))
0.0b
(/ n (+ f n))
0.1b
(* (/ f (+ f n)) (/ f (+ f n)))
0.1b
(* (/ n (+ f n)) (/ n (+ f n)))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
194×*-un-lft-identity
152×times-frac
118×add-sqr-sqrt
94×add-cube-cbrt
48×swap-sqr
44×distribute-lft-out
36×associate-*r* associate-*l*
32×add-exp-log add-cbrt-cube
20×associate-/r/
18×pow1
10×cbrt-undiv flip3-+ div-exp flip-+ div-inv
8×prod-exp associate-/r* cbrt-unprod unswap-sqr
6×associate-/l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×pow2 frac-times frac-2neg pow-plus associate-*r/ pow-prod-down associate-*l/ clear-num pow-sqr *-commutative pow-prod-up
Counts
4 → 250
Calls
4 calls:
5.0ms
(/ n (+ f n))
5.0ms
(/ n (+ f n))
29.0ms
(* (/ f (+ f n)) (/ f (+ f n)))
32.0ms
(* (/ n (+ f n)) (/ n (+ f n)))

series209.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(/ n (+ f n))
41.0ms
(/ n (+ f n))
62.0ms
(* (/ f (+ f n)) (/ f (+ f n)))
68.0ms
(* (/ n (+ f n)) (/ n (+ f n)))

simplify91.0ms

Algorithm
egg-herbie
Counts
262 → 262
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
07431802
137821592
250011548

prune496.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes29.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01518
11518

end0.0ms

sample426.0ms

Algorithm
intervals
Results
300.0ms8000×body80valid