Details

Time bar (total: 2.4s)

analyze33.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
25%74.9%0.1%4
37.5%62.4%0.1%5
62.4%37.5%0.1%6
87.4%12.5%0.1%7
87.4%12.5%0.1%8
93.7%6.2%0.1%9
93.7%6.2%0.1%10
96.8%3.1%0.1%11
96.8%3.1%0.1%12
98.3%1.6%0.1%13
98.3%1.6%0.1%14

sample208.0ms

Algorithm
intervals
Results
199.0ms256×body80valid

simplify451.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0138
1138

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))

rewrite26.0ms

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))

simplify69.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
052761341

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 4 expressions with local error:

0.5b
(* (cbrt (- f n)) (cbrt (- f n)))
0.6b
(cbrt (- f n))
0.6b
(cbrt (- f n))
0.6b
(cbrt (- f n))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 101
Calls
4 calls:
13.0ms
(* (cbrt (- f n)) (cbrt (- f n)))
3.0ms
(cbrt (- f n))
3.0ms
(cbrt (- f n))
3.0ms
(cbrt (- f n))

series112.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* (cbrt (- f n)) (cbrt (- f n)))
25.0ms
(cbrt (- f n))
26.0ms
(cbrt (- f n))
28.0ms
(cbrt (- f n))

simplify75.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
048861006
148861006

prune105.0ms

Filtered
71 candidates to 113 candidates (-59.2%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1121113
Fresh033
Picked011
Done011
Total1126118

Merged error: 0.0b

Counts
118 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- f n))
0.6b
(cbrt (- f n))
0.6b
(cbrt (- f n))
1.1b
(pow (cbrt (cbrt (- f n))) 5)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-prod
19×add-sqr-sqrt *-un-lft-identity
11×add-cube-cbrt unpow-prod-down
6×cbrt-div
5×pow1 add-exp-log
4×pow1/3 add-cbrt-cube distribute-lft-out-- add-log-exp difference-of-squares
3×pow-unpow flip3-- flip--
2×pow-pow
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 71
Calls
4 calls:
3.0ms
(cbrt (- f n))
3.0ms
(cbrt (- f n))
3.0ms
(cbrt (- f n))
6.0ms
(pow (cbrt (cbrt (- f n))) 5)

series135.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt (- f n))
26.0ms
(cbrt (- f n))
25.0ms
(cbrt (- f n))
58.0ms
(pow (cbrt (cbrt (- f n))) 5)

simplify50.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
04847760
14847760

prune122.0ms

Filtered
66 candidates to 83 candidates (-25.8%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New83083
Fresh033
Picked011
Done022
Total83689

Merged error: 0.0b

Counts
89 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (cbrt (+ f n)) (sqrt (- f n)))
0.6b
(cbrt (+ f n))
0.6b
(cbrt (+ f n))
0.6b
(cbrt (+ f n))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
81×*-un-lft-identity
57×add-sqr-sqrt
56×times-frac
48×cbrt-prod
41×add-cube-cbrt
40×sqrt-prod
12×distribute-lft-out
8×cbrt-div associate-/r* distribute-lft-out-- difference-of-squares
7×associate-/l*
6×add-exp-log
5×add-cbrt-cube
4×pow1 flip3-+ flip-+ add-log-exp
3×pow1/3
2×sqrt-div associate-/r/ associate-/l/
1×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- div-inv
Counts
4 → 129
Calls
4 calls:
9.0ms
(/ (cbrt (+ f n)) (sqrt (- f n)))
3.0ms
(cbrt (+ f n))
3.0ms
(cbrt (+ f n))
3.0ms
(cbrt (+ f n))

series134.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(/ (cbrt (+ f n)) (sqrt (- f n)))
29.0ms
(cbrt (+ f n))
32.0ms
(cbrt (+ f n))
30.0ms
(cbrt (+ f n))

simplify41.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
049791944
149791944

prune109.0ms

Filtered
92 candidates to 141 candidates (-53.3%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1410141
Fresh022
Picked011
Done033
Total1416147

Merged error: 0.0b

Counts
147 → 6

regimes141.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0138
1138

end0.0ms

analyze26.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
25%74.9%0.1%4
37.5%62.4%0.1%5
62.4%37.5%0.1%6
87.4%12.5%0.1%7
87.4%12.5%0.1%8
93.7%6.2%0.1%9
93.7%6.2%0.1%10
96.8%3.1%0.1%11
96.8%3.1%0.1%12
98.3%1.6%0.1%13
98.3%1.6%0.1%14

sample327.0ms

Algorithm
intervals
Results
206.0ms8000×body80valid

Profiling

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