Details

Time bar (total: 5.9s)

sample260.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify15.0ms

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

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

series86.0ms

Counts
1 → 3
Calls
1 calls:
86.0ms
(/ (- (+ f n)) (- f n))

simplify70.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0293774
1927758
23021743
35001743

prune153.0ms

Filtered
100 candidates to 62 candidates (62.0%)
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))

rewrite37.0ms

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:
15.0ms
(/ -1 (/ (- f n) (+ f n)))
12.0ms
(/ (- f n) (+ f n))

series127.0ms

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

simplify75.0ms

Algorithm
egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
05321466
125711420
250011301

prune248.0ms

Filtered
178 candidates to 101 candidates (56.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize13.0ms

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))

rewrite262.0ms

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×expm1-log1p-u cbrt-div log1p-expm1-u 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 → 507
Calls
4 calls:
172.0ms
(* (cbrt (/ -1 (/ (- f n) (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n)))))
11.0ms
(/ (- f n) (+ f n))
11.0ms
(/ (- f n) (+ f n))
11.0ms
(/ (- f n) (+ f n))

series356.0ms

Counts
4 → 12
Calls
4 calls:
169.0ms
(* (cbrt (/ -1 (/ (- f n) (+ f n)))) (cbrt (/ -1 (/ (- f n) (+ f n)))))
60.0ms
(/ (- f n) (+ f n))
61.0ms
(/ (- f n) (+ f n))
66.0ms
(/ (- f n) (+ f n))

simplify150.0ms

Algorithm
egg-herbie
Counts
519 → 519
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
09457966
139147876
250027678

prune1.2s

Filtered
519 candidates to 301 candidates (58.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (/ (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)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
500×cbrt-prod
354×times-frac
321×*-un-lft-identity
231×add-sqr-sqrt
159×add-cube-cbrt
45×distribute-lft-out
36×distribute-lft-out-- difference-of-squares
19×associate-/r/
10×div-inv
9×flip3-+ flip-+
5×cbrt-div
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 301
Calls
4 calls:
16.0ms
(cbrt (/ (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)))

series984.0ms

Counts
4 → 12
Calls
4 calls:
371.0ms
(cbrt (/ (cbrt -1) (cbrt (/ (- f n) (+ f n)))))
205.0ms
(cbrt (/ (- f n) (+ f n)))
205.0ms
(cbrt (/ (- f n) (+ f n)))
203.0ms
(cbrt (/ (- f n) (+ f n)))

simplify145.0ms

Algorithm
egg-herbie
Counts
313 → 313
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
06354382
113644334
249774326
350014326

prune1.3s

Filtered
313 candidates to 226 candidates (72.2%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes41.0ms

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

sample296.0ms

Algorithm
intervals
Results
169.0ms8000×body80valid