Details

Time bar (total: 2.6s)

sample255.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

localize7.0ms

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

series105.0ms

Counts
1 → 3
Calls
1 calls:
105.0ms
(/ (- (+ f n)) (- f n))

simplify69.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0288764
1915748
22934733
35002733

prune128.0ms

Filtered
98 candidates to 60 candidates (61.2%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New95398
Fresh000
Picked101
Done000
Total96399

Merged error: 0b

Counts
99 → 3

localize5.0ms

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

series132.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(/ -1 (/ (- f n) (+ f n)))
63.0ms
(/ (- f n) (+ f n))

simplify73.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
05231449
125451405
250011287

prune196.0ms

Filtered
174 candidates to 97 candidates (55.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1740174
Fresh022
Picked011
Done000
Total1743177

Merged error: 0b

Counts
177 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
374×*-un-lft-identity
300×times-frac
270×add-sqr-sqrt
148×add-cube-cbrt
138×cbrt-prod
132×unpow-prod-down cube-prod
104×distribute-lft-neg-in distribute-rgt-neg-in
61×distribute-lft-out-- difference-of-squares
52×distribute-lft-out
26×neg-mul-1
12×associate-/l*
10×associate-/r/
8×add-exp-log add-cbrt-cube
5×flip3-- associate-/r* flip-- div-inv
4×pow1
3×pow-unpow add-log-exp
2×cbrt-undiv cube-div cube-mult unpow3 distribute-frac-neg div-exp pow-exp associate-/l/ distribute-neg-frac rem-cube-cbrt sqr-pow
1×neg-sub0 pow-to-exp cbrt-div pow-pow frac-2neg flip3-+ pow1/3 div-sub cube-neg clear-num rem-cbrt-cube flip-+
Counts
3 → 396
Calls
3 calls:
14.0ms
(pow (/ (- (+ f n)) (- f n)) 3)
18.0ms
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
12.0ms
(/ (- (+ f n)) (- f n))

series246.0ms

Counts
3 → 9
Calls
3 calls:
74.0ms
(pow (/ (- (+ f n)) (- f n)) 3)
109.0ms
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
62.0ms
(/ (- (+ f n)) (- f n))

simplify134.0ms

Algorithm
egg-herbie
Counts
405 → 405
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
09533782
146783469
250023469

prune339.0ms

Filtered
405 candidates to 145 candidates (35.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New4050405
Fresh011
Picked011
Done011
Total4053408

Merged error: 0b

Counts
408 → 3

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
97×*-un-lft-identity
75×times-frac
73×add-sqr-sqrt
72×sqrt-prod
41×add-cube-cbrt
24×distribute-lft-neg-in distribute-rgt-neg-in
16×distribute-lft-out-- difference-of-squares
15×associate-/r*
12×distribute-lft-out
6×neg-mul-1
5×associate-/l*
3×add-exp-log add-cbrt-cube
2×sqrt-div associate-/r/ associate-/l/ distribute-neg-frac
1×pow1 cbrt-undiv flip3-- frac-2neg flip3-+ div-sub div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 112
Calls
1 calls:
11.0ms
(/ (- f n) (sqrt (- (+ f n))))

series88.0ms

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

simplify115.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
04091193
110751143
244521097
350011097

prune183.0ms

Filtered
115 candidates to 69 candidates (60.0%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1150115
Fresh000
Picked011
Done022
Total1153118

Merged error: 0b

Counts
118 → 3

regimes44.0ms

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
084
184

end0.0ms

sample283.0ms

Algorithm
intervals
Results
162.0ms8000×body80valid