Details

Time bar (total: 5.4s)

sample263.0ms

Algorithm
intervals
Results
7.0ms256×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

Filtered
1 candidates to 0 candidates (0.0%)
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))

rewrite25.0ms

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:
19.0ms
(/ (- (+ f n)) (- f n))

series87.0ms

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

simplify68.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0288764
1915748
22934733
35002733

prune150.0ms

Filtered
98 candidates to 60 candidates (61.2%)
Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

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

series129.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(/ -1 (/ (- f n) (+ f n)))
62.0ms
(/ (- f n) (+ f n))

simplify70.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05231449
125451405
250011287

prune238.0ms

Filtered
174 candidates to 97 candidates (55.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite272.0ms

Algorithm
rewrite-expression-head
Rules
901×*-un-lft-identity
900×times-frac
543×add-sqr-sqrt
488×cbrt-prod
337×add-cube-cbrt
152×swap-sqr
132×distribute-lft-out
111×distribute-lft-out--
86×associate-*r* associate-*l*
75×difference-of-squares
34×associate-/r/
19×div-inv
16×unswap-sqr
15×flip3-+ flip-+ associate-/l*
12×add-exp-log associate-/r*
11×pow1
10×add-cbrt-cube
6×pow1/3 associate-/l/
4×cbrt-div add-log-exp
3×cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip--
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 499
Calls
4 calls:
183.0ms
(* (cbrt (/ -1 (/ (- f n) (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n)))))
10.0ms
(/ (- f n) (+ f n))
10.0ms
(/ (- f n) (+ f n))
10.0ms
(/ (- f n) (+ f n))

series358.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(* (cbrt (/ -1 (/ (- f n) (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n)))))
63.0ms
(/ (- f n) (+ f n))
63.0ms
(/ (- f n) (+ f n))
61.0ms
(/ (- f n) (+ f n))

simplify151.0ms

Algorithm
egg-herbie
Counts
511 → 511
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
09367921
138877831
250027633

prune1.1s

Filtered
511 candidates to 293 candidates (57.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
248×cbrt-prod
207×times-frac
205×*-un-lft-identity
145×add-sqr-sqrt
97×add-cube-cbrt
30×distribute-lft-out
24×distribute-lft-out-- difference-of-squares
13×associate-/r/
7×div-inv
6×flip3-+ flip-+
5×cbrt-div
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 206
Calls
4 calls:
12.0ms
(cbrt (/ -1 (cbrt (/ (- f n) (+ f n)))))
5.0ms
(cbrt (/ (- f n) (+ f n)))
5.0ms
(cbrt (/ (- f n) (+ f n)))
5.0ms
(cbrt (/ (- f n) (+ f n)))

series1.0s

Counts
4 → 12
Calls
4 calls:
369.0ms
(cbrt (/ -1 (cbrt (/ (- f n) (+ f n)))))
216.0ms
(cbrt (/ (- f n) (+ f n)))
210.0ms
(cbrt (/ (- f n) (+ f n)))
217.0ms
(cbrt (/ (- f n) (+ f n)))

simplify135.0ms

Algorithm
egg-herbie
Counts
218 → 218
Iterations

Useful iterations: 3 (104.0ms)

IterNodesCost
04712553
111092509
247222501
350012444

prune789.0ms

Filtered
218 candidates to 152 candidates (69.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes45.0ms

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

sample288.0ms

Algorithm
intervals
Results
161.0ms8000×body80valid