Details

Time bar (total: 5.5s)

sample252.0ms

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))

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:
11.0ms
(/ (- (+ f n)) (- f n))

series89.0ms

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

simplify67.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0288764
1915748
22934733
35002733

prune127.0ms

Filtered
98 candidates to 60 candidates (61.2%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New95398
Fresh000
Picked101
Done000
Total96399

Merged error: 0b

Counts
99 → 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))

rewrite58.0ms

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 log-prod flip3-- div-sub flip-- 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 → 252
Calls
3 calls:
20.0ms
(log (exp (/ (- (+ f n)) (- f n))))
14.0ms
(exp (/ (- (+ f n)) (- f n)))
9.0ms
(/ (- (+ f n)) (- f n))

series217.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(log (exp (/ (- (+ f n)) (- f n))))
83.0ms
(exp (/ (- (+ f n)) (- f n)))
68.0ms
(/ (- (+ f n)) (- f n))

simplify84.0ms

Algorithm
egg-herbie
Counts
261 → 261
Iterations

Useful iterations: 3 (66.0ms)

IterNodesCost
04051660
111121601
235611564
350011561

prune377.0ms

Filtered
261 candidates to 157 candidates (60.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New2610261
Fresh022
Picked011
Done000
Total2613264

Merged error: 0b

Counts
264 → 3

localize12.0ms

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×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 → 95
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))

series528.0ms

Counts
4 → 12
Calls
4 calls:
158.0ms
(* (cbrt (+ f n)) (cbrt (+ f n)))
121.0ms
(cbrt (+ f n))
125.0ms
(cbrt (+ f n))
124.0ms
(cbrt (+ f n))

simplify143.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (134.0ms)

IterNodesCost
0247671
1887634
24204583
35002579

prune204.0ms

Filtered
107 candidates to 75 candidates (70.1%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1070107
Fresh011
Picked011
Done011
Total1073110

Merged error: 0b

Counts
110 → 3

localize8.0ms

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))))

rewrite233.0ms

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 div-exp associate-/l/ add-log-exp
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num
1×flip3-- div-sub flip--
Counts
4 → 1488
Calls
4 calls:
47.0ms
(/ (sqrt (- (+ f n))) (/ (- f n) (sqrt (- (+ f n)))))
4.0ms
(sqrt (- (+ f n)))
4.0ms
(sqrt (- (+ f n)))
11.0ms
(/ (- f n) (sqrt (- (+ f n))))

series291.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(/ (sqrt (- (+ f n))) (/ (- f n) (sqrt (- (+ f n)))))
62.0ms
(sqrt (- (+ f n)))
64.0ms
(sqrt (- (+ f n)))
87.0ms
(/ (- f n) (sqrt (- (+ f n))))

simplify275.0ms

Algorithm
egg-herbie
Counts
1500 → 1500
Iterations

Useful iterations: 1 (61.0ms)

IterNodesCost
0250226605
1500125556

prune2.1s

Filtered
1500 candidates to 628 candidates (41.9%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New150001500
Fresh000
Picked011
Done022
Total150031503

Merged error: 0b

Counts
1503 → 3

regimes46.0ms

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
196.0ms8000×body80valid