Details

Time bar (total: 3.2s)

sample262.0ms

Algorithm
intervals
Results
7.0ms256×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 (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- (+ 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 expm1-log1p-u flip3-- frac-2neg flip3-+ div-sub distribute-frac-neg div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 97
Calls
1 calls:
11.0ms
(/ (- (+ f n)) (- f n))

series93.0ms

Counts
1 → 3
Calls
1 calls:
93.0ms
(/ (- (+ f n)) (- f n))

simplify72.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0291774
1924758
23018743
35001743

prune120.0ms

Filtered
100 candidates to 62 candidates (38.0%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New964100
Fresh000
Picked101
Done000
Total974101

Merged error: 0.0b

Counts
101 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(log1p (expm1 (/ (- (+ f n)) (- f n))))
0.0b
(/ (- (+ f n)) (- f n))
0.5b
(expm1 (/ (- (+ f n)) (- f n)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
84×*-un-lft-identity
60×add-sqr-sqrt times-frac
34×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×add-exp-log associate-/r* add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u
3×pow1 add-log-exp
2×log1p-expm1 associate-/r/ associate-/l/ distribute-neg-frac
1×cbrt-undiv neg-sub0 log1p-udef expm1-log1p flip3-- frac-2neg flip3-+ div-sub distribute-frac-neg div-exp clear-num flip-- flip-+ div-inv expm1-udef
Counts
3 → 120
Calls
3 calls:
1.0ms
(log1p (expm1 (/ (- (+ f n)) (- f n))))
9.0ms
(/ (- (+ f n)) (- f n))
1.0ms
(expm1 (/ (- (+ f n)) (- f n)))

series291.0ms

Counts
3 → 9
Calls
3 calls:
116.0ms
(log1p (expm1 (/ (- (+ f n)) (- f n))))
68.0ms
(/ (- (+ f n)) (- f n))
106.0ms
(expm1 (/ (- (+ f n)) (- f n)))

simplify69.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0321918
1968882
23073867
35001867

prune185.0ms

Filtered
129 candidates to 84 candidates (34.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1290129
Fresh033
Picked011
Done000
Total1294133

Merged error: 0.0b

Counts
133 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
57×add-sqr-sqrt
56×*-un-lft-identity
32×times-frac
30×add-cube-cbrt
24×distribute-neg-frac
22×frac-times
21×associate-*r*
20×associate-/r*
15×add-exp-log
13×associate-/l*
12×flip3-+ associate-*l* flip-+
11×associate-*r/
10×distribute-lft-out-- difference-of-squares
9×add-cbrt-cube
5×pow1 clear-num
4×distribute-lft-neg-in distribute-rgt-neg-in frac-2neg div-exp prod-exp associate-/r/
3×un-div-inv unswap-sqr
2×cbrt-undiv expm1-log1p-u rec-exp flip3-- 1-exp associate-*l/ flip-- cbrt-unprod log1p-expm1-u div-inv distribute-lft-out add-log-exp
1×distribute-lft-neg-out neg-mul-1 pow-flip pow-prod-down *-commutative inv-pow
Counts
2 → 135
Calls
2 calls:
5.0ms
(/ 1 (- f n))
17.0ms
(* (- (+ f n)) (/ 1 (- f n)))

series106.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ 1 (- f n))
68.0ms
(* (- (+ f n)) (/ 1 (- f n)))

simplify56.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0482859
12420771
25001709

prune144.0ms

Filtered
141 candidates to 79 candidates (44.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1401141
Fresh022
Picked011
Done011
Total1405145

Merged error: 0b

Counts
145 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (/ (- (+ f n)) (sqrt (- f n))) (sqrt (- f n)))
0.3b
(/ (- (+ f n)) (sqrt (- f n)))

rewrite162.0ms

Algorithm
rewrite-expression-head
Rules
1776×times-frac
1485×*-un-lft-identity
1157×add-sqr-sqrt
1125×sqrt-prod
707×add-cube-cbrt
328×distribute-lft-neg-in distribute-rgt-neg-in
225×distribute-lft-out-- difference-of-squares
164×distribute-lft-out
126×associate-/l*
82×neg-mul-1
29×associate-/l/
24×associate-/r*
22×sqrt-div associate-/r/
11×flip3-- flip-- div-inv
9×add-exp-log add-cbrt-cube
4×cbrt-undiv div-exp distribute-neg-frac
3×frac-2neg div-sub distribute-frac-neg clear-num
2×pow1 neg-sub0 expm1-log1p-u flip3-+ flip-+ log1p-expm1-u add-log-exp
Counts
2 → 1107
Calls
2 calls:
43.0ms
(/ (/ (- (+ f n)) (sqrt (- f n))) (sqrt (- f n)))
11.0ms
(/ (- (+ f n)) (sqrt (- f n)))

series223.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(/ (/ (- (+ f n)) (sqrt (- f n))) (sqrt (- f n)))
154.0ms
(/ (- (+ f n)) (sqrt (- f n)))

simplify192.0ms

Algorithm
egg-herbie
Counts
1113 → 1113
Iterations

Useful iterations: 1 (40.0ms)

IterNodesCost
0185417675
1500116176

prune806.0ms

Filtered
1113 candidates to 332 candidates (70.2%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New111301113
Fresh022
Picked011
Done022
Total111351118

Merged error: 0b

Counts
1118 → 5

regimes58.0ms

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
0146
1156
2156

end0.0ms

sample285.0ms

Algorithm
intervals
Results
164.0ms8000×body80valid