Details

Time bar (total: 3.6s)

sample313.0ms

Algorithm
intervals
Results
6.0ms256×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))

rewrite61.0ms

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:
56.0ms
(/ (- (+ f n)) (- f n))

series84.0ms

Counts
1 → 3
Calls
1 calls:
84.0ms
(/ (- (+ f n)) (- f n))

simplify65.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0288764
1915748
22934733
35002733

prune146.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite57.0ms

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:
23.0ms
(/ -1 (/ (- f n) (+ f n)))
22.0ms
(/ (- f n) (+ f n))

series138.0ms

Counts
2 → 6
Calls
2 calls:
72.0ms
(/ -1 (/ (- f n) (+ f n)))
66.0ms
(/ (- f n) (+ f n))

simplify69.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05231449
125451405
250011287

prune224.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ -1 (/ (- f n) (+ f n)))
0.0b
(cbrt (pow (/ -1 (/ (- f n) (+ f n))) 3))
0.0b
(/ (- f n) (+ f n))
0.0b
(pow (/ -1 (/ (- f n) (+ f n))) 3)

rewrite156.0ms

Algorithm
rewrite-expression-head
Rules
730×times-frac
622×*-un-lft-identity
450×add-sqr-sqrt
312×add-cube-cbrt
172×cbrt-prod
166×unpow-prod-down cube-prod
86×distribute-lft-out
69×distribute-lft-out-- difference-of-squares
39×associate-/r/
30×associate-/r*
22×div-inv
17×add-exp-log flip3-+ add-cbrt-cube flip-+
8×associate-/l*
7×cbrt-undiv div-exp
5×pow1
4×add-log-exp
3×pow-unpow pow-exp rem-cube-cbrt
2×cube-div cube-mult frac-2neg unpow3 clear-num associate-/l/ sqr-pow
1×pow-to-exp cbrt-div flip3-- pow-pow pow1/3 div-sub flip-- rem-cbrt-cube
Counts
4 → 538
Calls
4 calls:
24.0ms
(/ -1 (/ (- f n) (+ f n)))
35.0ms
(cbrt (pow (/ -1 (/ (- f n) (+ f n))) 3))
24.0ms
(/ (- f n) (+ f n))
33.0ms
(pow (/ -1 (/ (- f n) (+ f n))) 3)

series332.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(/ -1 (/ (- f n) (+ f n)))
110.0ms
(cbrt (pow (/ -1 (/ (- f n) (+ f n))) 3))
67.0ms
(/ (- f n) (+ f n))
83.0ms
(pow (/ -1 (/ (- f n) (+ f n))) 3)

simplify84.0ms

Algorithm
egg-herbie
Counts
550 → 550
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
014645323
150025133

prune588.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 4 expressions with local error:

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

rewrite202.0ms

Algorithm
rewrite-expression-head
Rules
190×*-un-lft-identity
155×times-frac
114×add-sqr-sqrt
54×add-cube-cbrt
35×distribute-lft-out--
28×associate-/r/ distribute-lft-out
25×associate-/r*
20×difference-of-squares
15×distribute-rgt-out--
13×div-inv
12×flip3-+ flip-+
10×add-exp-log add-cbrt-cube
9×associate-/l*
6×add-log-exp
4×pow1
3×cbrt-undiv frac-2neg div-exp clear-num
2×flip3-- frac-sub flip-- sub-div
1×sub-neg diff-log
Counts
4 → 181
Calls
4 calls:
11.0ms
(/ n (+ f n))
11.0ms
(/ f (+ f n))
96.0ms
(/ -1 (- (/ f (+ f n)) (/ n (+ f n))))
74.0ms
(- (/ f (+ f n)) (/ n (+ f n)))

series258.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(/ n (+ f n))
45.0ms
(/ f (+ f n))
90.0ms
(/ -1 (- (/ f (+ f n)) (/ n (+ f n))))
82.0ms
(- (/ f (+ f n)) (/ n (+ f n)))

simplify58.0ms

Algorithm
egg-herbie
Counts
193 → 193
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04501472
119201424
250011349

prune308.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes32.0ms

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
0116
1116

end0.0ms

sample332.0ms

Algorithm
intervals
Results
159.0ms8000×body80valid