Details

Time bar (total: 2.5s)

sample303.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify16.0ms

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))

rewrite18.0ms

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

series95.0ms

Counts
1 → 3
Calls
1 calls:
95.0ms
(/ (neg (+ f n)) (- f n))

simplify70.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0288754
1906738
22893733
35001733

prune129.0ms

Filtered
98 candidates to 60 candidates (61.2%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New95398
Fresh000
Picked101
Done000
Total96399

Merged error: 0b

Counts
99 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

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)

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/
8×add-exp-log add-cbrt-cube
5×flip3-- associate-/r* flip-- div-inv
4×pow1
3×pow-unpow 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 → 396
Calls
3 calls:
18.0ms
(cbrt (pow (/ (neg (+ f n)) (- f n)) 3))
9.0ms
(/ (neg (+ f n)) (- f n))
15.0ms
(pow (/ (neg (+ f n)) (- f n)) 3)

series245.0ms

Counts
3 → 9
Calls
3 calls:
107.0ms
(cbrt (pow (/ (neg (+ f n)) (- f n)) 3))
62.0ms
(/ (neg (+ f n)) (- f n))
75.0ms
(pow (/ (neg (+ f n)) (- f n)) 3)

simplify126.0ms

Algorithm
egg-herbie
Counts
405 → 405
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
09533730
144133489
250023481

prune326.0ms

Filtered
405 candidates to 142 candidates (35.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New4050405
Fresh022
Picked011
Done000
Total4053408

Merged error: 0b

Counts
408 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ -1 (- f n))
0.2b
(* (/ -1 (- f n)) (+ f n))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
21×associate-*l*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×associate-/r*
4×pow1 associate-*r* associate-/r/
3×associate-/l*
2×cbrt-undiv frac-times flip3-- flip3-+ associate-*r/ div-exp prod-exp flip-- cbrt-unprod flip-+ div-inv add-log-exp unswap-sqr
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down associate-*l/ clear-num *-commutative distribute-lft-out
Counts
2 → 84
Calls
2 calls:
5.0ms
(/ -1 (- f n))
14.0ms
(* (/ -1 (- f n)) (+ f n))

series101.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ -1 (- f n))
63.0ms
(* (/ -1 (- f n)) (+ f n))

simplify48.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0417470
11635436
25001406

prune114.0ms

Filtered
90 candidates to 61 candidates (67.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New90090
Fresh011
Picked011
Done011
Total90393

Merged error: 0b

Counts
93 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (neg (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)))
0.2b
(/ (sqrt (+ f n)) (- f n))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
101×*-un-lft-identity
83×add-sqr-sqrt
72×times-frac
53×sqrt-prod
45×add-cube-cbrt
41×associate-*r*
18×associate-*l*
15×distribute-lft-out-- difference-of-squares
13×distribute-lft-out
9×add-exp-log add-cbrt-cube
7×distribute-lft-neg-in distribute-rgt-neg-in associate-/l*
6×sqrt-div
5×associate-/r*
4×pow1 associate-/r/ distribute-neg-frac
3×flip3-+ flip-+ unswap-sqr
2×cbrt-undiv frac-times flip3-- div-exp associate-*l/ prod-exp flip-- cbrt-unprod div-inv associate-/l/ add-log-exp
1×distribute-lft-neg-out neg-mul-1 frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 144
Calls
2 calls:
24.0ms
(* (neg (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)))
8.0ms
(/ (sqrt (+ f n)) (- f n))

series151.0ms

Counts
2 → 6
Calls
2 calls:
77.0ms
(* (neg (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)))
74.0ms
(/ (sqrt (+ f n)) (- f n))

simplify61.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
04841280
122401202
250011172

prune211.0ms

Filtered
150 candidates to 91 candidates (60.7%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1500150
Fresh000
Picked011
Done022
Total1503153

Merged error: 0b

Counts
153 → 3

regimes44.0ms

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
0156
1166
2166

end0.0ms

sample312.0ms

Algorithm
intervals
Results
189.0ms8000×body80valid

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