Details

Time bar (total: 2.0s)

sample21.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify20.0ms

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

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite225.0ms

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:
219.0ms
(/ (neg (+ f n)) (- f n))

series18.0ms

Counts
1 → 3
Calls
1 calls:
18.0ms
(/ (neg (+ f n)) (- f n))

simplify67.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0288754
1906738
22893733
35001733

prune83.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New94498
Fresh000
Picked011
Done000
Total94599

Merged error: 0.0b

Counts
99 → 5

localize10.0ms

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)))
8.0ms
(/ (- 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))

simplify71.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
05231449
125451405
250011287

prune113.0ms

Filtered
97 candidates to 174 candidates (-79.4%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1731174
Fresh123
Picked011
Done011
Total1745179

Merged error: 0.0b

Counts
179 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
445×*-un-lft-identity
443×times-frac
313×add-sqr-sqrt
290×cbrt-prod
207×add-cube-cbrt
156×unpow-prod-down cube-prod
66×distribute-lft-out
65×associate-/r*
53×distribute-lft-out-- difference-of-squares
27×associate-/r/
14×div-inv
13×flip3-+ flip-+
11×add-exp-log
10×add-cbrt-cube
8×associate-/l*
6×cube-mult unpow3 sqr-pow
5×pow1
4×add-log-exp
3×cbrt-undiv cube-div pow-unpow div-exp
2×cbrt-div frac-2neg pow-exp clear-num associate-/l/ rem-cube-cbrt
1×pow-to-exp flip3-- pow-pow pow1/3 div-sub flip-- rem-cbrt-cube
Counts
4 → 446
Calls
4 calls:
21.0ms
(/ -1 (cbrt (pow (/ (- f n) (+ f n)) 3)))
8.0ms
(/ (- f n) (+ f n))
14.0ms
(cbrt (pow (/ (- f n) (+ f n)) 3))
10.0ms
(pow (/ (- f n) (+ f n)) 3)

series50.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(/ -1 (cbrt (pow (/ (- f n) (+ f n)) 3)))
8.0ms
(/ (- f n) (+ f n))
13.0ms
(cbrt (pow (/ (- f n) (+ f n)) 3))
13.0ms
(pow (/ (- f n) (+ f n)) 3)

simplify117.0ms

Algorithm
egg-herbie
Counts
458 → 458
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
07554673
132323897
250033589

prune224.0ms

Filtered
159 candidates to 458 candidates (-188.1%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New4580458
Fresh022
Picked011
Done022
Total4585463

Merged error: 0.0b

Counts
463 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ f n))
0.0b
(sqrt (+ f n))
0.1b
(* (neg (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)))
0.1b
(/ (sqrt (+ f n)) (- f n))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
109×*-un-lft-identity
89×add-sqr-sqrt
72×times-frac
61×sqrt-prod
49×add-cube-cbrt
41×associate-*r*
18×associate-*l*
15×distribute-lft-out distribute-lft-out-- difference-of-squares
11×add-exp-log add-cbrt-cube
10×sqrt-div
8×pow1
7×distribute-lft-neg-in distribute-rgt-neg-in associate-/l*
5×flip3-+ associate-/r* flip-+
4×associate-/r/ distribute-neg-frac add-log-exp
3×unswap-sqr
2×cbrt-undiv frac-times rem-sqrt-square flip3-- sqrt-pow1 pow1/2 div-exp associate-*l/ prod-exp flip-- cbrt-unprod div-inv associate-/l/
1×distribute-lft-neg-out neg-mul-1 frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
4 → 176
Calls
4 calls:
3.0ms
(sqrt (+ f n))
3.0ms
(sqrt (+ f n))
26.0ms
(* (neg (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)))
8.0ms
(/ (sqrt (+ f n)) (- f n))

series42.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(sqrt (+ f n))
6.0ms
(sqrt (+ f n))
18.0ms
(* (neg (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)))
13.0ms
(/ (sqrt (+ f n)) (- f n))

simplify64.0ms

Algorithm
egg-herbie
Counts
188 → 188
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05201454
124051378
250021344

prune122.0ms

Filtered
119 candidates to 188 candidates (-58.0%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1871188
Fresh011
Picked011
Done033
Total1876193

Merged error: 0b

Counts
193 → 6

regimes129.0ms

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
084
184

end0.0ms

sample384.0ms

Algorithm
intervals
Results
191.0ms8000×body80valid

Profiling

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