Details

Time bar (total: 4.2s)

sample274.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite26.0ms

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:
20.0ms
(/ (- (+ f n)) (- f n))

series84.0ms

Counts
1 → 3
Calls
1 calls:
83.0ms
(/ (- (+ f n)) (- f n))

simplify69.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0288764
1915748
22934733
35002733

prune160.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
500×times-frac
424×*-un-lft-identity
302×add-sqr-sqrt
204×add-cube-cbrt
81×distribute-lft-neg-in distribute-rgt-neg-in
61×distribute-lft-out
49×distribute-lft-out-- difference-of-squares
30×associate-/r*
27×neg-mul-1
25×associate-/r/
15×associate-/l*
13×div-inv
12×flip3-+ flip-+
9×add-exp-log add-cbrt-cube
4×cbrt-undiv div-exp
2×pow1 frac-2neg div-sub clear-num associate-/l/ add-log-exp
1×neg-sub0 flip3-- distribute-frac-neg flip--
Counts
2 → 359
Calls
2 calls:
18.0ms
(/ (- 1) (/ (- f n) (+ f n)))
11.0ms
(/ (- f n) (+ f n))

series133.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(/ (- 1) (/ (- f n) (+ f n)))
68.0ms
(/ (- f n) (+ f n))

simplify61.0ms

Algorithm
egg-herbie
Counts
365 → 365
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
010193937
150013550

prune469.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
954×times-frac
631×*-un-lft-identity
491×add-sqr-sqrt
369×add-cube-cbrt
87×associate-/r/
70×distribute-lft-out
61×distribute-lft-out-- difference-of-squares
44×div-inv
31×add-exp-log
27×associate-/r* associate-/l*
23×flip3-+ flip-+
20×flip3-- flip--
19×div-exp add-cbrt-cube
10×cbrt-undiv
4×pow1
3×rec-exp frac-2neg 1-exp clear-num add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
3 → 515
Calls
3 calls:
5.0ms
(/ 1 (+ f n))
5.0ms
(/ -1 (- f n))
24.0ms
(/ (/ -1 (- f n)) (/ 1 (+ f n)))

series141.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ 1 (+ f n))
34.0ms
(/ -1 (- f n))
70.0ms
(/ (/ -1 (- f n)) (/ 1 (+ f n)))

simplify95.0ms

Algorithm
egg-herbie
Counts
524 → 524
Iterations

Useful iterations: 1 (38.0ms)

IterNodesCost
018706334
150015846

prune780.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* (cbrt (- 1)) (cbrt (- 1))) (* (cbrt (/ (- f n) (+ f n))) (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
88×*-un-lft-identity
78×cbrt-prod
61×times-frac
58×add-sqr-sqrt
34×add-cube-cbrt
16×add-exp-log
15×distribute-lft-out
12×distribute-lft-out-- difference-of-squares
9×associate-/r/
8×add-cbrt-cube
7×cbrt-div
4×pow1 cbrt-undiv div-exp prod-exp cbrt-unprod div-inv add-log-exp
3×flip3-+ pow1/3 flip-+
1×frac-times frac-2neg associate-*r/ associate-*l/ clear-num associate-/r* associate-/l*
Counts
4 → 129
Calls
4 calls:
20.0ms
(/ (* (cbrt (- 1)) (cbrt (- 1))) (* (cbrt (/ (- f n) (+ f n))) (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)))

series839.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(/ (* (cbrt (- 1)) (cbrt (- 1))) (* (cbrt (/ (- f n) (+ f n))) (cbrt (/ (- f n) (+ f n)))))
223.0ms
(cbrt (/ (- f n) (+ f n)))
214.0ms
(cbrt (/ (- f n) (+ f n)))
220.0ms
(cbrt (/ (- f n) (+ f n)))

simplify45.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
03171419
110811270
250021193

prune404.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes64.0ms

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
0124
1134
2134

end0.0ms

sample306.0ms

Algorithm
intervals
Results
177.0ms8000×body80valid