Details

Time bar (total: 3.1s)

sample258.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0134
1164
2204
3264
4314
5334
6334

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite17.0ms

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:
11.0ms
(/ (- (+ f n)) (- f n))

series87.0ms

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

simplify70.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0293774
1927758
23021743
35001743

prune140.0ms

Filtered
100 candidates to 62 candidates (62.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New964100
Fresh000
Picked011
Done000
Total965101

Merged error: 0b

Counts
101 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

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:
13.0ms
(/ -1 (/ (- f n) (+ f n)))
8.0ms
(/ (- f n) (+ f n))

series130.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(/ -1 (/ (- f n) (+ f n)))
67.0ms
(/ (- f n) (+ f n))

simplify79.0ms

Algorithm
egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
05321466
125711420
250011301

prune208.0ms

Filtered
178 candidates to 101 candidates (56.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1762178
Fresh303
Picked101
Done011
Total1803183

Merged error: 0b

Counts
183 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ -1 (log1p (expm1 (/ (- f n) (+ f n)))))
0.0b
(log1p (expm1 (/ (- f n) (+ f n))))
0.0b
(/ (- f n) (+ f n))
0.5b
(expm1 (/ (- f n) (+ f n)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
45×*-un-lft-identity
33×add-sqr-sqrt
29×times-frac
23×add-cube-cbrt
8×add-exp-log add-cbrt-cube associate-/l*
7×associate-/r*
6×distribute-lft-out
5×log1p-expm1-u distribute-lft-out-- difference-of-squares
4×pow1 expm1-log1p-u add-log-exp
2×cbrt-undiv frac-2neg div-exp clear-num associate-/r/ div-inv associate-/l/
1×log1p-udef expm1-log1p flip3-- flip3-+ div-sub log1p-expm1 flip-- flip-+ expm1-udef
Counts
4 → 99
Calls
4 calls:
3.0ms
(/ -1 (log1p (expm1 (/ (- f n) (+ f n)))))
1.0ms
(log1p (expm1 (/ (- f n) (+ f n))))
8.0ms
(/ (- f n) (+ f n))
1.0ms
(expm1 (/ (- f n) (+ f n)))

series362.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(/ -1 (log1p (expm1 (/ (- f n) (+ f n)))))
96.0ms
(log1p (expm1 (/ (- f n) (+ f n))))
64.0ms
(/ (- f n) (+ f n))
93.0ms
(expm1 (/ (- f n) (+ f n)))

simplify102.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 3 (90.0ms)

IterNodesCost
0294718
1967619
24278594
35001593

prune174.0ms

Filtered
111 candidates to 80 candidates (72.1%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1110111
Fresh011
Picked011
Done011
Total1113114

Merged error: 0b

Counts
114 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ -1 (/ (- f n) (+ f n)))
0.0b
(pow (/ -1 (/ (- f n) (+ f n))) 3)
0.0b
(cbrt (pow (/ -1 (/ (- f n) (+ f n))) 3))
0.0b
(/ (- f n) (+ f n))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
730×times-frac
622×*-un-lft-identity
450×add-sqr-sqrt
312×add-cube-cbrt
172×cbrt-prod
166×unpow-prod-down cube-prod
86×distribute-lft-out
69×distribute-lft-out-- difference-of-squares
39×associate-/r/
30×associate-/r*
22×div-inv
17×add-exp-log flip3-+ add-cbrt-cube flip-+
8×associate-/l*
7×cbrt-undiv div-exp
5×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow pow-exp rem-cube-cbrt
2×cube-div cube-mult frac-2neg unpow3 clear-num associate-/l/ sqr-pow
1×pow-to-exp cbrt-div flip3-- pow-pow pow1/3 div-sub flip-- rem-cbrt-cube
Counts
4 → 546
Calls
4 calls:
11.0ms
(/ -1 (/ (- f n) (+ f n)))
19.0ms
(pow (/ -1 (/ (- f n) (+ f n))) 3)
26.0ms
(cbrt (pow (/ -1 (/ (- f n) (+ f n))) 3))
8.0ms
(/ (- f n) (+ f n))

series315.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(/ -1 (/ (- f n) (+ f n)))
75.0ms
(pow (/ -1 (/ (- f n) (+ f n))) 3)
106.0ms
(cbrt (pow (/ -1 (/ (- f n) (+ f n))) 3))
67.0ms
(/ (- f n) (+ f n))

simplify99.0ms

Algorithm
egg-herbie
Counts
558 → 558
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
014775358
150025166

prune524.0ms

Filtered
558 candidates to 204 candidates (36.6%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New5580558
Fresh000
Picked011
Done022
Total5583561

Merged error: 0b

Counts
561 → 3

regimes45.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124
1134
2134

end0.0ms

sample287.0ms

Algorithm
intervals
Results
163.0ms8000×body80valid