Details

Time bar (total: 2.6s)

analyze32.0ms

Algorithm
search

sample211.0ms

Algorithm
intervals
Results
201.0ms256×body80valid

simplify383.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0134
1164
2204
3264
4314
5334
6334

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize21.0ms

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*
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
(/ (neg (+ f n)) (- f n))

series17.0ms

Counts
1 → 3
Calls
1 calls:
17.0ms
(/ (neg (+ f n)) (- f n))

simplify65.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0288754
1906738
22893733
35001733

prune92.0ms

Filtered
60 candidates to 98 candidates (-63.3%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New92698
Fresh000
Picked101
Done000
Total93699

Merged error: 0b

Counts
99 → 6

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/
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:
11.0ms
(/ -1 (/ (- f n) (+ f n)))
7.0ms
(/ (- f n) (+ f n))

series17.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ -1 (/ (- f n) (+ f n)))
9.0ms
(/ (- f n) (+ f n))

simplify61.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05221454
123081405
250011285

prune120.0ms

Filtered
96 candidates to 174 candidates (-81.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1740174
Fresh055
Picked011
Done000
Total1746180

Merged error: 0b

Counts
180 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(exp (/ (neg (+ f n)) (- f n)))
0.0b
(log (exp (/ (neg (+ f n)) (- f n))))
0.0b
(/ (neg (+ f n)) (- f n))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
229×*-un-lft-identity
180×times-frac
165×add-sqr-sqrt
132×exp-prod
91×add-cube-cbrt
67×log-pow
64×distribute-lft-neg-in distribute-rgt-neg-in
37×distribute-lft-out-- difference-of-squares
32×distribute-lft-out
16×neg-mul-1
12×associate-/l*
6×associate-/r/
5×add-exp-log associate-/r* add-cbrt-cube
4×pow1 distribute-frac-neg add-log-exp
3×neg-sub0 exp-neg log-prod flip3-- div-sub flip-- div-inv
2×log-div exp-diff associate-/l/ distribute-neg-frac
1×cbrt-undiv frac-2neg flip3-+ div-exp rem-log-exp log-rec clear-num flip-+ rem-exp-log
Counts
3 → 252
Calls
3 calls:
13.0ms
(exp (/ (neg (+ f n)) (- f n)))
16.0ms
(log (exp (/ (neg (+ f n)) (- f n))))
11.0ms
(/ (neg (+ f n)) (- f n))

series36.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(exp (/ (neg (+ f n)) (- f n)))
9.0ms
(log (exp (/ (neg (+ f n)) (- f n))))
9.0ms
(/ (neg (+ f n)) (- f n))

simplify81.0ms

Algorithm
egg-herbie
Counts
261 → 261
Iterations

Useful iterations: 3 (63.0ms)

IterNodesCost
04051626
111031575
235351564
350011561

prune198.0ms

Filtered
154 candidates to 261 candidates (-69.5%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New2601261
Fresh224
Picked011
Done011
Total2625267

Merged error: 0b

Counts
267 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
522×*-un-lft-identity
420×times-frac
378×add-sqr-sqrt
276×cbrt-prod
208×add-cube-cbrt
198×unpow-prod-down cube-prod
144×distribute-lft-neg-in distribute-rgt-neg-in
142×log-pow
141×exp-prod
85×distribute-lft-out-- difference-of-squares
72×distribute-lft-out
36×neg-mul-1
14×associate-/r/
12×associate-/l*
9×add-exp-log add-cbrt-cube
7×flip3-- flip-- div-inv
6×pow1
5×associate-/r*
4×add-log-exp
3×cube-mult pow-unpow log-prod unpow3 sqr-pow
2×cbrt-undiv cube-div distribute-frac-neg div-exp pow-exp associate-/l/ distribute-neg-frac rem-cube-cbrt
1×neg-sub0 pow-to-exp cbrt-div pow-pow frac-2neg flip3-+ pow1/3 div-sub rem-log-exp cube-neg clear-num rem-cbrt-cube flip-+
Counts
4 → 549
Calls
4 calls:
35.0ms
(log (exp (cbrt (pow (/ (neg (+ f n)) (- f n)) 3))))
19.0ms
(cbrt (pow (/ (neg (+ f n)) (- f n)) 3))
12.0ms
(/ (neg (+ f n)) (- f n))
15.0ms
(pow (/ (neg (+ f n)) (- f n)) 3)

series59.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(log (exp (cbrt (pow (/ (neg (+ f n)) (- f n)) 3))))
22.0ms
(cbrt (pow (/ (neg (+ f n)) (- f n)) 3))
9.0ms
(/ (neg (+ f n)) (- f n))
14.0ms
(pow (/ (neg (+ f n)) (- f n)) 3)

simplify147.0ms

Algorithm
egg-herbie
Counts
561 → 561
Iterations

Useful iterations: 2 (95.0ms)

IterNodesCost
010754501
147174213
250024208

prune333.0ms

Filtered
198 candidates to 561 candidates (-183.3%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New5610561
Fresh022
Picked011
Done022
Total5615566

Merged error: 0b

Counts
566 → 5

regimes130.0ms

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
0178
1188
2188

end0.0ms

analyze24.0ms

Algorithm
search

sample343.0ms

Algorithm
intervals
Results
212.0ms8000×body80valid

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