Details

Time bar (total: 3.9s)

sample259.0ms

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))

rewrite17.0ms

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

series82.0ms

Counts
1 → 3
Calls
1 calls:
81.0ms
(/ (- (+ f n)) (- f n))

simplify68.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0288764
1915748
22934733
35002733

prune152.0ms

Pruning

4 alts after pruning (3 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)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
498×times-frac
438×*-un-lft-identity
334×add-sqr-sqrt
212×add-cube-cbrt
104×distribute-lft-neg-in distribute-rgt-neg-in
78×associate-/r*
61×distribute-lft-out-- difference-of-squares
52×distribute-lft-out
26×neg-mul-1
15×add-exp-log
11×associate-/r/
10×distribute-neg-frac
9×add-cbrt-cube
8×div-exp associate-/l*
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 382
Calls
2 calls:
18.0ms
(/ 1 (/ (- f n) (- (+ f n))))
9.0ms
(/ (- f n) (- (+ f n)))

series129.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(/ 1 (/ (- f n) (- (+ f n))))
66.0ms
(/ (- f n) (- (+ f n)))

simplify105.0ms

Algorithm
egg-herbie
Counts
388 → 388
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
09253936
143463555
250013203

prune411.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite188.0ms

Algorithm
rewrite-expression-head
Rules
512×*-un-lft-identity
385×times-frac
180×add-sqr-sqrt
120×add-cube-cbrt
112×distribute-rgt-neg-in
105×distribute-lft-out--
92×distribute-lft-neg-in
66×distribute-lft-out
55×associate-/r*
28×associate-/r/
24×distribute-neg-frac
20×difference-of-squares
18×neg-mul-1
15×distribute-rgt-out--
13×div-inv
12×add-exp-log flip3-+ flip-+
10×add-cbrt-cube
9×associate-/l*
6×add-log-exp
5×pow1
4×div-exp
3×cbrt-undiv frac-2neg clear-num
2×flip3-- frac-sub flip-- sub-div
1×sub-neg rec-exp pow-flip diff-log 1-exp inv-pow
Counts
4 → 319
Calls
4 calls:
7.0ms
(/ n (- (+ f n)))
76.0ms
(/ 1 (- (/ f (- (+ f n))) (/ n (- (+ f n)))))
74.0ms
(- (/ f (- (+ f n))) (/ n (- (+ f n))))
7.0ms
(/ f (- (+ f n)))

series239.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(/ n (- (+ f n)))
80.0ms
(/ 1 (- (/ f (- (+ f n))) (/ n (- (+ f n)))))
76.0ms
(- (/ f (- (+ f n))) (/ n (- (+ f n))))
40.0ms
(/ f (- (+ f n)))

simplify73.0ms

Algorithm
egg-herbie
Counts
331 → 331
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
06362882
125692743
250012543

prune439.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite278.0ms

Algorithm
rewrite-expression-head
Rules
740×*-un-lft-identity
574×times-frac
244×add-sqr-sqrt
168×distribute-lft-out--
148×add-cube-cbrt
144×distribute-rgt-neg-in
112×distribute-lft-neg-in
101×exp-prod
88×distribute-lft-out
43×associate-/r*
42×associate-/r/
34×distribute-neg-frac
32×difference-of-squares
24×distribute-rgt-out--
20×neg-mul-1
19×div-inv
17×flip3-+ flip-+
10×add-exp-log
8×add-cbrt-cube
7×add-log-exp
6×associate-/l*
5×pow1
3×flip3-- div-exp frac-sub flip-- sub-div
2×cbrt-undiv frac-2neg clear-num
1×sub-neg rec-exp pow-flip diff-log 1-exp rem-exp-log inv-pow
Counts
4 → 363
Calls
4 calls:
79.0ms
(/ 1 (- (/ f (- (+ f n))) (/ n (- (+ f n)))))
84.0ms
(exp (/ 1 (- (/ f (- (+ f n))) (/ n (- (+ f n))))))
74.0ms
(- (/ f (- (+ f n))) (/ n (- (+ f n))))
7.0ms
(/ f (- (+ f n)))

series295.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(/ 1 (- (/ f (- (+ f n))) (/ n (- (+ f n)))))
99.0ms
(exp (/ 1 (- (/ f (- (+ f n))) (/ n (- (+ f n))))))
75.0ms
(- (/ f (- (+ f n))) (/ n (- (+ f n))))
40.0ms
(/ f (- (+ f n)))

simplify76.0ms

Algorithm
egg-herbie
Counts
375 → 375
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
06233274
122382993
250012662

prune632.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes51.0ms

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
02226
12326
22326

end0.0ms

sample295.0ms

Algorithm
intervals
Results
171.0ms8000×body80valid