Details

Time bar (total: 2.4s)

sample34.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 74.946242%

Results
7.0ms256×body80valid

simplify562.0ms

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))

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

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(/ (neg (+ f n)) (- f n))

simplify65.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0288754
1906738
22893733
35001733

prune81.0ms

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: 0b

Counts
99 → 5

localize8.0ms

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)

rewrite69.0ms

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))
12.0ms
(/ (neg (+ f n)) (- f n))
14.0ms
(pow (/ (neg (+ f n)) (- f n)) 3)

series43.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(cbrt (pow (/ (neg (+ f n)) (- f n)) 3))
13.0ms
(/ (neg (+ f n)) (- f n))
13.0ms
(pow (/ (neg (+ f n)) (- f n)) 3)

simplify129.0ms

Algorithm
egg-herbie
Counts
405 → 405
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
09533730
144133489
250023481

prune195.0ms

Filtered
139 candidates to 405 candidates (-191.4%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New4050405
Fresh033
Picked011
Done011
Total4055410

Merged error: 0b

Counts
410 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

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:
8.0ms
(/ (sqrt (+ f n)) (- f n))
24.0ms
(* (neg (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)))

series30.0ms

Counts
2 → 6
Calls
2 calls:
15.0ms
(/ (sqrt (+ f n)) (- f n))
15.0ms
(* (neg (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)))

simplify59.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
04781278
122411206
250011176

prune100.0ms

Filtered
90 candidates to 150 candidates (-66.7%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1491150
Fresh112
Picked011
Done022
Total1505155

Merged error: 0b

Counts
155 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
136×*-un-lft-identity
98×times-frac
94×add-sqr-sqrt
78×exp-prod
60×add-cube-cbrt
54×pow-flip
29×log-pow
21×distribute-lft-out
17×distribute-lft-out-- difference-of-squares
13×log-prod
9×add-exp-log
8×associate-/r* associate-/r/ add-cbrt-cube
7×pow1 associate-/l*
6×div-inv
5×div-exp add-log-exp
4×flip3-- rem-log-exp flip--
2×cbrt-undiv rec-exp frac-2neg 1-exp clear-num associate-/l/ inv-pow
1×log-div flip3-+ log-rec flip-+ rem-exp-log
Counts
4 → 191
Calls
4 calls:
12.0ms
(/ 1 (exp (/ (+ f n) (- f n))))
7.0ms
(/ (+ f n) (- f n))
12.0ms
(log (/ 1 (exp (/ (+ f n) (- f n)))))
11.0ms
(exp (/ (+ f n) (- f n)))

series59.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(/ 1 (exp (/ (+ f n) (- f n))))
11.0ms
(/ (+ f n) (- f n))
19.0ms
(log (/ 1 (exp (/ (+ f n) (- f n)))))
13.0ms
(exp (/ (+ f n) (- f n)))

simplify107.0ms

Algorithm
egg-herbie
Counts
203 → 203
Iterations

Useful iterations: 3 (93.0ms)

IterNodesCost
03921239
112331152
241061102
350011099

prune174.0ms

Filtered
127 candidates to 203 candidates (-59.8%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New2030203
Fresh011
Picked011
Done033
Total2035208

Merged error: 0b

Counts
208 → 5

regimes131.0ms

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
0124
1134
2134

end0.0ms

sample400.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 74.946242%

Results
200.0ms8000×body80valid

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