Details

Time bar (total: 4.1s)

sample258.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify17.0ms

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

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

series91.0ms

Counts
1 → 3
Calls
1 calls:
91.0ms
(/ (- (+ f n)) (- f n))

simplify70.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0293774
1927758
23021743
35001743

prune139.0ms

Filtered
100 candidates to 62 candidates (62.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New982100
Fresh000
Picked011
Done000
Total983101

Merged error: 0.0b

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)))
9.0ms
(/ (- f n) (+ f n))

series133.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(/ -1 (/ (- f n) (+ f n)))
68.0ms
(/ (- f n) (+ f n))

simplify68.0ms

Algorithm
egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05311471
123341420
250011299

prune203.0ms

Filtered
178 candidates to 100 candidates (56.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1771178
Fresh011
Picked011
Done011
Total1774181

Merged error: 0b

Counts
181 → 4

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))

series550.0ms

Counts
4 → 12
Calls
4 calls:
165.0ms
(* (cbrt (+ f n)) (cbrt (+ f n)))
126.0ms
(cbrt (+ f n))
125.0ms
(cbrt (+ f n))
134.0ms
(cbrt (+ f n))

simplify148.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 3 (139.0ms)

IterNodesCost
0255701
1930663
24376610
35001606

prune225.0ms

Filtered
115 candidates to 83 candidates (72.2%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1150115
Fresh011
Picked011
Done022
Total1154119

Merged error: 0b

Counts
119 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite223.0ms

Algorithm
rewrite-expression-head
Rules
1038×times-frac
1007×*-un-lft-identity
625×add-sqr-sqrt
490×sqrt-prod
393×add-cube-cbrt
154×swap-sqr
146×distribute-lft-out
122×distribute-lft-out--
86×associate-*r* associate-*l* difference-of-squares
41×associate-/r/
34×associate-/r*
23×div-inv
19×pow1
18×flip3-+ flip-+
16×unswap-sqr
15×add-exp-log add-cbrt-cube
13×associate-/l*
8×sqrt-pow1 pow1/2
5×cbrt-undiv div-exp pow-prod-up
4×expm1-log1p-u sqrt-div log1p-expm1-u associate-/l/ add-log-exp
3×frac-2neg pow-prod-down clear-num pow-sqr
2×flip3-- div-sub flip--
1×pow2 frac-times pow-plus sqrt-unprod associate-*r/ associate-*l/ prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 592
Calls
4 calls:
12.0ms
(/ -1 (/ (- f n) (+ f n)))
133.0ms
(* (sqrt (/ -1 (/ (- f n) (+ f n)))) (sqrt (/ -1 (/ (- f n) (+ f n)))))
9.0ms
(/ (- f n) (+ f n))
9.0ms
(/ (- f n) (+ f n))

series340.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(/ -1 (/ (- f n) (+ f n)))
136.0ms
(* (sqrt (/ -1 (/ (- f n) (+ f n)))) (sqrt (/ -1 (/ (- f n) (+ f n)))))
65.0ms
(/ (- f n) (+ f n))
70.0ms
(/ (- f n) (+ f n))

simplify106.0ms

Algorithm
egg-herbie
Counts
604 → 604
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
010326026
150025874

prune1.1s

Filtered
604 candidates to 341 candidates (56.5%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New6040604
Fresh000
Picked011
Done033
Total6044608

Merged error: 0b

Counts
608 → 4

regimes51.0ms

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

sample283.0ms

Algorithm
intervals
Results
162.0ms8000×body80valid