Details

Time bar (total: 3.5s)

sample266.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify17.0ms

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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

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

series91.0ms

Counts
1 → 3
Calls
1 calls:
91.0ms
(/ (- (+ f n)) (- f n))

simplify71.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0293774
1927758
23021743
35001743

prune131.0ms

Filtered
100 candidates to 62 candidates (62.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New964100
Fresh000
Picked011
Done000
Total965101

Merged error: 0.0b

Counts
101 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

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:
10.0ms
(/ -1 (/ (- f n) (+ f n)))
9.0ms
(/ (- f n) (+ f n))

series137.0ms

Counts
2 → 6
Calls
2 calls:
71.0ms
(/ -1 (/ (- f n) (+ f n)))
66.0ms
(/ (- f n) (+ f n))

simplify76.0ms

Algorithm
egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
05321466
125711420
250011301

prune212.0ms

Filtered
178 candidates to 101 candidates (56.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1771178
Fresh123
Picked101
Done011
Total1794183

Merged error: 0b

Counts
183 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
708×*-un-lft-identity
599×times-frac
410×add-sqr-sqrt
350×add-cube-cbrt
324×prod-diff
139×distribute-lft-out
102×associate-/r/
50×div-inv
49×flip3-+ flip-+
35×distribute-lft-out--
25×associate-/r*
20×difference-of-squares
18×fma-neg
15×distribute-rgt-out--
10×add-exp-log add-cbrt-cube
9×associate-/l*
6×add-log-exp
4×pow1 expm1-log1p-u log1p-expm1-u
3×cbrt-undiv frac-2neg div-exp clear-num
2×flip3-- frac-sub flip-- sub-div
1×sub-neg diff-log
Counts
4 → 531
Calls
4 calls:
5.0ms
(/ n (+ f n))
5.0ms
(/ f (+ f n))
31.0ms
(- (/ f (+ f n)) (/ n (+ f n)))
24.0ms
(/ -1 (- (/ f (+ f n)) (/ n (+ f n))))

series248.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(/ n (+ f n))
42.0ms
(/ f (+ f n))
76.0ms
(- (/ f (+ f n)) (/ n (+ f n)))
90.0ms
(/ -1 (- (/ f (+ f n)) (/ n (+ f n))))

simplify177.0ms

Algorithm
egg-herbie
Counts
543 → 543
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
0111011859
138758297
250018297

prune657.0ms

Filtered
543 candidates to 256 candidates (47.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New5421543
Fresh112
Picked101
Done011
Total5443547

Merged error: 0b

Counts
547 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
374×*-un-lft-identity
300×times-frac
270×add-sqr-sqrt
148×add-cube-cbrt
138×cbrt-prod
132×unpow-prod-down cube-prod
104×distribute-lft-neg-in distribute-rgt-neg-in
61×distribute-lft-out-- difference-of-squares
52×distribute-lft-out
26×neg-mul-1
12×associate-/l*
10×associate-/r/
8×add-exp-log add-cbrt-cube
5×flip3-- associate-/r* flip-- div-inv
4×pow1
3×expm1-log1p-u pow-unpow log1p-expm1-u add-log-exp
2×cbrt-undiv cube-div cube-mult unpow3 distribute-frac-neg div-exp pow-exp associate-/l/ distribute-neg-frac rem-cube-cbrt sqr-pow
1×neg-sub0 pow-to-exp cbrt-div pow-pow frac-2neg flip3-+ pow1/3 div-sub cube-neg clear-num rem-cbrt-cube flip-+
Counts
3 → 402
Calls
3 calls:
18.0ms
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
9.0ms
(/ (- (+ f n)) (- f n))
17.0ms
(pow (/ (- (+ f n)) (- f n)) 3)

series257.0ms

Counts
3 → 9
Calls
3 calls:
113.0ms
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
68.0ms
(/ (- (+ f n)) (- f n))
75.0ms
(pow (/ (- (+ f n)) (- f n)) 3)

simplify136.0ms

Algorithm
egg-herbie
Counts
411 → 411
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
09643812
146943496
250013496

prune352.0ms

Filtered
411 candidates to 150 candidates (36.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New4110411
Fresh011
Picked011
Done011
Total4113414

Merged error: 0b

Counts
414 → 3

regimes45.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124
1134
2134

end0.0ms

sample330.0ms

Algorithm
intervals
Results
200.0ms8000×body80valid

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