Details

Time bar (total: 3.7s)

sample295.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify17.0ms

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
(/ (neg (+ f n)) (- f n))

rewrite18.0ms

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*
neg-mul-1
associate-/r*
add-exp-log add-cbrt-cube
associate-/r/ associate-/l/ distribute-neg-frac
pow1 cbrt-undiv neg-sub0 flip3-- frac-2neg flip3-+ div-sub distribute-frac-neg div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 95
Calls
1 calls:
12.0ms
(/ (neg (+ f n)) (- f n))

series96.0ms

Counts
1 → 3
Calls
1 calls:
96.0ms
(/ (neg (+ f n)) (- f n))

simplify71.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0288754
1906738
22893733
35001733

prune139.0ms

Filtered
98 candidates to 60 candidates (61.2%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New94498
Fresh000
Picked101
Done000
Total95499

Merged error: 0.0b

Counts
99 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

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/
add-exp-log add-cbrt-cube
associate-/l*
div-inv
flip3-+ flip-+
cbrt-undiv div-exp
pow1 frac-2neg clear-num associate-/l/ add-log-exp
flip3-- div-sub flip--
Counts
2 → 168
Calls
2 calls:
11.0ms
(/ -1 (/ (- f n) (+ f n)))
8.0ms
(/ (- f n) (+ f n))

series133.0ms

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

simplify72.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
05231449
125451405
250011287

prune200.0ms

Filtered
174 candidates to 97 candidates (55.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1731174
Fresh213
Picked011
Done000
Total1753178

Merged error: 0b

Counts
178 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite69.0ms

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-exp-log add-cbrt-cube
associate-/l*
add-log-exp
pow1
cbrt-undiv frac-2neg div-exp clear-num
flip3-- frac-sub flip-- sub-div
sub-neg diff-log
Counts
4 → 181
Calls
4 calls:
5.0ms
(/ n (+ f n))
5.0ms
(/ f (+ f n))
28.0ms
(/ -1 (- (/ f (+ f n)) (/ n (+ f n))))
21.0ms
(- (/ f (+ f n)) (/ n (+ f n)))

series238.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(/ n (+ f n))
38.0ms
(/ f (+ f n))
84.0ms
(/ -1 (- (/ f (+ f n)) (/ n (+ f n))))
75.0ms
(- (/ f (+ f n)) (/ n (+ f n)))

simplify61.0ms

Algorithm
egg-herbie
Counts
193 → 193
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
04501472
119201424
250011349

prune248.0ms

Filtered
193 candidates to 124 candidates (64.2%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1930193
Fresh011
Picked011
Done011
Total1933196

Merged error: 0b

Counts
196 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- f n))
0.0b
(sqrt (- f n))
0.0b
(/ (/ (neg (+ f n)) (sqrt (- f n))) (sqrt (- f n)))
0.2b
(/ (neg (+ f n)) (sqrt (- f n)))

rewrite176.0ms

Algorithm
rewrite-expression-head
Rules
1776×times-frac
1482×*-un-lft-identity
1160×add-sqr-sqrt
1130×sqrt-prod
706×add-cube-cbrt
324×distribute-lft-neg-in distribute-rgt-neg-in
226×distribute-lft-out-- difference-of-squares
162×distribute-lft-out
114×associate-/l*
81×neg-mul-1
26×sqrt-div
22×associate-/r/
16×associate-/r*
13×flip3-- flip--
11×add-exp-log add-cbrt-cube div-inv
pow1
cbrt-undiv div-exp add-log-exp
div-sub distribute-frac-neg associate-/l/
neg-sub0 rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num distribute-neg-frac
flip3-+ flip-+
Counts
4 → 1113
Calls
4 calls:
3.0ms
(sqrt (- f n))
3.0ms
(sqrt (- f n))
43.0ms
(/ (/ (neg (+ f n)) (sqrt (- f n))) (sqrt (- f n)))
10.0ms
(/ (neg (+ f n)) (sqrt (- f n)))

series343.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(sqrt (- f n))
66.0ms
(sqrt (- f n))
67.0ms
(/ (/ (neg (+ f n)) (sqrt (- f n))) (sqrt (- f n)))
144.0ms
(/ (neg (+ f n)) (sqrt (- f n)))

simplify191.0ms

Algorithm
egg-herbie
Counts
1125 → 1125
Iterations

Useful iterations: 1 (40.0ms)

IterNodesCost
0182117749
1500116074

prune899.0ms

Filtered
1125 candidates to 323 candidates (28.7%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New112501125
Fresh000
Picked011
Done022
Total112531128

Merged error: 0b

Counts
1128 → 3

regimes32.0ms

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
096
196

end0.0ms

sample319.0ms

Algorithm
intervals
Results
192.0ms8000×body80valid

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