Details

Time bar (total: 2.6s)

sample277.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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
(/ (- (+ 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))

series89.0ms

Counts
1 → 3
Calls
1 calls:
88.0ms
(/ (- (+ f n)) (- f n))

simplify72.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0293774
1927758
23021743
35001743

prune133.0ms

Filtered
100 candidates to 62 candidates (62.0%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New973100
Fresh000
Picked101
Done000
Total983101

Merged error: 0b

Counts
101 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

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 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
1×flip3-- div-sub flip--
Counts
2 → 172
Calls
2 calls:
14.0ms
(/ -1 (/ (- f n) (+ f n)))
8.0ms
(/ (- f n) (+ f n))

series131.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(/ -1 (/ (- f n) (+ f n)))
64.0ms
(/ (- f n) (+ f n))

simplify77.0ms

Algorithm
egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
05321466
125711420
250011301

prune203.0ms

Filtered
178 candidates to 101 candidates (56.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1780178
Fresh022
Picked011
Done000
Total1783181

Merged error: 0b

Counts
181 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite70.0ms

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×expm1-log1p-u pow-unpow log1p-expm1-u 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 → 402
Calls
3 calls:
15.0ms
(pow (/ (- (+ f n)) (- f n)) 3)
18.0ms
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
9.0ms
(/ (- (+ f n)) (- f n))

series251.0ms

Counts
3 → 9
Calls
3 calls:
74.0ms
(pow (/ (- (+ f n)) (- f n)) 3)
106.0ms
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
70.0ms
(/ (- (+ f n)) (- f n))

simplify134.0ms

Algorithm
egg-herbie
Counts
411 → 411
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
09643812
146943496
250013496

prune352.0ms

Filtered
411 candidates to 151 candidates (36.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New4110411
Fresh011
Picked011
Done011
Total4113414

Merged error: 0b

Counts
414 → 3

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
97×*-un-lft-identity
75×times-frac
73×add-sqr-sqrt
72×sqrt-prod
41×add-cube-cbrt
24×distribute-lft-neg-in distribute-rgt-neg-in
16×distribute-lft-out-- difference-of-squares
15×associate-/r*
12×distribute-lft-out
6×neg-mul-1
5×associate-/l*
3×add-exp-log add-cbrt-cube
2×sqrt-div associate-/r/ associate-/l/ distribute-neg-frac
1×pow1 cbrt-undiv expm1-log1p-u flip3-- frac-2neg flip3-+ div-sub div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 114
Calls
1 calls:
11.0ms
(/ (- f n) (sqrt (- (+ f n))))

series87.0ms

Counts
1 → 3
Calls
1 calls:
87.0ms
(/ (- f n) (sqrt (- (+ f n))))

simplify118.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
04191204
111121154
246691108
350011108

prune192.0ms

Filtered
117 candidates to 71 candidates (60.7%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1170117
Fresh000
Picked011
Done022
Total1173120

Merged error: 0b

Counts
120 → 3

regimes44.0ms

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
084
184

end0.0ms

sample300.0ms

Algorithm
intervals
Results
172.0ms8000×body80valid