Details

Time bar (total: 5.6s)

sample259.0ms

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

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- (+ 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 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:
12.0ms
(/ (- (+ f n)) (- f n))

series90.0ms

Counts
1 → 3
Calls
1 calls:
89.0ms
(/ (- (+ f n)) (- f n))

simplify70.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (21.0ms)

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

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
229×*-un-lft-identity
180×times-frac
165×add-sqr-sqrt
132×exp-prod
91×add-cube-cbrt
67×log-pow
64×distribute-lft-neg-in distribute-rgt-neg-in
37×distribute-lft-out-- difference-of-squares
32×distribute-lft-out
16×neg-mul-1
12×associate-/l*
6×associate-/r/
5×add-exp-log associate-/r* add-cbrt-cube
4×pow1 distribute-frac-neg add-log-exp
3×neg-sub0 exp-neg expm1-log1p-u log-prod flip3-- div-sub flip-- log1p-expm1-u div-inv
2×log-div exp-diff associate-/l/ distribute-neg-frac
1×cbrt-undiv frac-2neg flip3-+ div-exp rem-log-exp log-rec clear-num flip-+ rem-exp-log
Counts
3 → 258
Calls
3 calls:
17.0ms
(log (exp (/ (- (+ f n)) (- f n))))
18.0ms
(exp (/ (- (+ f n)) (- f n)))
10.0ms
(/ (- (+ f n)) (- f n))

series229.0ms

Counts
3 → 9
Calls
3 calls:
69.0ms
(log (exp (/ (- (+ f n)) (- f n))))
87.0ms
(exp (/ (- (+ f n)) (- f n)))
72.0ms
(/ (- (+ f n)) (- f n))

simplify89.0ms

Algorithm
egg-herbie
Counts
267 → 267
Iterations

Useful iterations: 3 (69.0ms)

IterNodesCost
04141692
111281633
236531596
350021593

prune390.0ms

Filtered
267 candidates to 163 candidates (61.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New2670267
Fresh022
Picked011
Done000
Total2673270

Merged error: 0b

Counts
270 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ f n)) (cbrt (+ f n)))
0.5b
(cbrt (+ f n))
0.5b
(cbrt (+ f n))
0.5b
(cbrt (+ f n))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u 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 → 103
Calls
4 calls:
10.0ms
(* (cbrt (+ f n)) (cbrt (+ f n)))
3.0ms
(cbrt (+ f n))
3.0ms
(cbrt (+ f n))
3.0ms
(cbrt (+ f n))

series565.0ms

Counts
4 → 12
Calls
4 calls:
169.0ms
(* (cbrt (+ f n)) (cbrt (+ f n)))
129.0ms
(cbrt (+ f n))
130.0ms
(cbrt (+ f n))
136.0ms
(cbrt (+ f n))

simplify148.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 3 (139.0ms)

IterNodesCost
0255701
1930663
24376610
35001606

prune229.0ms

Filtered
115 candidates to 83 candidates (72.2%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1150115
Fresh011
Picked011
Done011
Total1153118

Merged error: 0b

Counts
118 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (sqrt (- (+ f n))) (/ (- f n) (sqrt (- (+ f n)))))
0.0b
(sqrt (- (+ f n)))
0.0b
(sqrt (- (+ f n)))
0.2b
(/ (- f n) (sqrt (- (+ f n))))

rewrite236.0ms

Algorithm
rewrite-expression-head
Rules
2490×times-frac
2146×*-un-lft-identity
2040×sqrt-prod
1468×add-sqr-sqrt
954×add-cube-cbrt
680×distribute-lft-neg-in distribute-rgt-neg-in
340×distribute-lft-out
256×distribute-lft-out-- difference-of-squares
170×neg-mul-1
96×associate-/r*
40×sqrt-div distribute-neg-frac
35×associate-/r/
20×flip3-+ flip-+ associate-/l*
18×div-inv
11×add-exp-log add-cbrt-cube
6×pow1
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u associate-/l/ add-log-exp
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num
1×flip3-- div-sub flip--
Counts
4 → 1496
Calls
4 calls:
52.0ms
(/ (sqrt (- (+ f n))) (/ (- f n) (sqrt (- (+ f n)))))
5.0ms
(sqrt (- (+ f n)))
4.0ms
(sqrt (- (+ f n)))
12.0ms
(/ (- f n) (sqrt (- (+ f n))))

series325.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(/ (sqrt (- (+ f n))) (/ (- f n) (sqrt (- (+ f n)))))
71.0ms
(sqrt (- (+ f n)))
71.0ms
(sqrt (- (+ f n)))
96.0ms
(/ (- f n) (sqrt (- (+ f n))))

simplify285.0ms

Algorithm
egg-herbie
Counts
1508 → 1508
Iterations

Useful iterations: 1 (62.0ms)

IterNodesCost
0252026652
1500125603

prune2.1s

Filtered
1508 candidates to 636 candidates (42.2%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New150801508
Fresh000
Picked011
Done022
Total150831511

Merged error: 0b

Counts
1511 → 3

regimes45.0ms

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

sample330.0ms

Algorithm
intervals
Results
198.0ms8000×body80valid