Details

Time bar (total: 2.9s)

sample302.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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
(/ (neg (+ 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*
neg-mul-1
associate-/r*
add-exp-log add-cbrt-cube
associate-/r/ associate-/l/ distribute-neg-frac
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
(/ (neg (+ f n)) (- f n))

series98.0ms

Counts
1 → 3
Calls
1 calls:
98.0ms
(/ (neg (+ f n)) (- f n))

simplify67.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0288754
1906738
22893733
35001733

prune134.0ms

Filtered
98 candidates to 60 candidates (61.2%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New93598
Fresh000
Picked101
Done000
Total94599

Merged error: 0.0b

Counts
99 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

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/
add-exp-log add-cbrt-cube
associate-/l*
div-inv
flip3-+ flip-+
cbrt-undiv div-exp
pow1 frac-2neg clear-num associate-/l/ add-log-exp
flip3-- div-sub flip--
Counts
2 → 168
Calls
2 calls:
11.0ms
(/ -1 (/ (- f n) (+ f n)))
8.0ms
(/ (- f n) (+ f n))

series133.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(/ -1 (/ (- f n) (+ f n)))
67.0ms
(/ (- f n) (+ f n))

simplify74.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
05231449
125451405
250011287

prune196.0ms

Filtered
174 candidates to 97 candidates (55.7%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1722174
Fresh224
Picked101
Done000
Total1754179

Merged error: 0b

Counts
179 → 4

localize7.0ms

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)))

rewrite69.0ms

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
associate-/l*
add-log-exp
pow1
cbrt-undiv frac-2neg div-exp clear-num
flip3-- frac-sub flip-- sub-div
sub-neg diff-log
Counts
4 → 181
Calls
4 calls:
5.0ms
(/ n (+ f n))
5.0ms
(/ f (+ f n))
28.0ms
(/ -1 (- (/ f (+ f n)) (/ n (+ f n))))
22.0ms
(- (/ f (+ f n)) (/ n (+ f n)))

series231.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(/ n (+ f n))
37.0ms
(/ f (+ f n))
80.0ms
(/ -1 (- (/ f (+ f n)) (/ n (+ f n))))
74.0ms
(- (/ f (+ f n)) (/ n (+ f n)))

simplify61.0ms

Algorithm
egg-herbie
Counts
193 → 193
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
04501472
119201424
250011349

prune244.0ms

Filtered
193 candidates to 125 candidates (64.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1930193
Fresh033
Picked011
Done000
Total1934197

Merged error: 0b

Counts
197 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (neg (+ f n)) (- f n))
0.0b
(cbrt (pow (/ (neg (+ f n)) (- f n)) 3))
0.1b
(pow (/ (neg (+ f n)) (- f n)) 3)

rewrite71.0ms

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/
add-exp-log add-cbrt-cube
flip3-- associate-/r* flip-- div-inv
pow1
pow-unpow add-log-exp
cbrt-undiv cube-div cube-mult unpow3 distribute-frac-neg div-exp pow-exp associate-/l/ distribute-neg-frac rem-cube-cbrt sqr-pow
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 → 396
Calls
3 calls:
9.0ms
(/ (neg (+ f n)) (- f n))
22.0ms
(cbrt (pow (/ (neg (+ f n)) (- f n)) 3))
16.0ms
(pow (/ (neg (+ f n)) (- f n)) 3)

series246.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(/ (neg (+ f n)) (- f n))
104.0ms
(cbrt (pow (/ (neg (+ f n)) (- f n)) 3))
77.0ms
(pow (/ (neg (+ f n)) (- f n)) 3)

simplify139.0ms

Algorithm
egg-herbie
Counts
405 → 405
Iterations

Useful iterations: 2 (95.0ms)

IterNodesCost
09533724
145163469
250023463

prune338.0ms

Filtered
405 candidates to 143 candidates (35.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New4050405
Fresh022
Picked011
Done011
Total4054409

Merged error: 0b

Counts
409 → 4

regimes59.0ms

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
096
196

end0.0ms

sample322.0ms

Algorithm
intervals
Results
197.0ms8000×body80valid

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