Details

Time bar (total: 3.9s)

sample258.0ms

Algorithm
intervals
Results
7.0ms256×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))

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*
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:
13.0ms
(/ (- (+ f n)) (- f n))

series85.0ms

Counts
1 → 3
Calls
1 calls:
85.0ms
(/ (- (+ f n)) (- f n))

simplify69.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0288764
1915748
22934733
35002733

prune133.0ms

Filtered
98 candidates to 60 candidates (61.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New96298
Fresh000
Picked011
Done000
Total96399

Merged error: 0.0b

Counts
99 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

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

series126.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(/ -1 (/ (- f n) (+ f n)))
65.0ms
(/ (- f n) (+ f n))

simplify67.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05221454
123081405
250011285

prune188.0ms

Filtered
174 candidates to 96 candidates (55.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1731174
Fresh011
Picked011
Done011
Total1734177

Merged error: 0b

Counts
177 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ f n)) (cbrt (+ f n)))
0.5b
(cbrt (+ f n))
0.5b
(cbrt (+ f n))
0.5b
(cbrt (+ f n))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
10.0ms
(* (cbrt (+ f n)) (cbrt (+ f n)))
3.0ms
(cbrt (+ f n))
3.0ms
(cbrt (+ f n))
3.0ms
(cbrt (+ f n))

series528.0ms

Counts
4 → 12
Calls
4 calls:
160.0ms
(* (cbrt (+ f n)) (cbrt (+ f n)))
122.0ms
(cbrt (+ f n))
122.0ms
(cbrt (+ f n))
125.0ms
(cbrt (+ f n))

simplify145.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (136.0ms)

IterNodesCost
0247671
1887634
24204583
35002579

prune203.0ms

Filtered
107 candidates to 75 candidates (70.1%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1070107
Fresh011
Picked011
Done022
Total1074111

Merged error: 0b

Counts
111 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite213.0ms

Algorithm
rewrite-expression-head
Rules
1038×times-frac
1007×*-un-lft-identity
625×add-sqr-sqrt
490×sqrt-prod
393×add-cube-cbrt
154×swap-sqr
146×distribute-lft-out
122×distribute-lft-out--
86×associate-*r* associate-*l* difference-of-squares
41×associate-/r/
34×associate-/r*
23×div-inv
19×pow1
18×flip3-+ flip-+
16×unswap-sqr
15×add-exp-log add-cbrt-cube
13×associate-/l*
8×sqrt-pow1 pow1/2
5×cbrt-undiv div-exp pow-prod-up
4×sqrt-div associate-/l/ add-log-exp
3×frac-2neg pow-prod-down clear-num pow-sqr
2×flip3-- div-sub flip--
1×pow2 frac-times pow-plus sqrt-unprod associate-*r/ associate-*l/ prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 584
Calls
4 calls:
11.0ms
(/ -1 (/ (- f n) (+ f n)))
119.0ms
(* (sqrt (/ -1 (/ (- f n) (+ f n)))) (sqrt (/ -1 (/ (- f n) (+ f n)))))
11.0ms
(/ (- f n) (+ f n))
8.0ms
(/ (- f n) (+ f n))

series320.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(/ -1 (/ (- f n) (+ f n)))
130.0ms
(* (sqrt (/ -1 (/ (- f n) (+ f n)))) (sqrt (/ -1 (/ (- f n) (+ f n)))))
59.0ms
(/ (- f n) (+ f n))
65.0ms
(/ (- f n) (+ f n))

simplify102.0ms

Algorithm
egg-herbie
Counts
596 → 596
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
010215992
150025840

prune1.0s

Filtered
596 candidates to 333 candidates (55.9%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New5960596
Fresh000
Picked011
Done033
Total5964600

Merged error: 0b

Counts
600 → 4

regimes47.0ms

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

sample297.0ms

Algorithm
intervals
Results
170.0ms8000×body80valid