Details

Time bar (total: 3.3s)

sample254.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify17.0ms

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 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))

series91.0ms

Counts
1 → 3
Calls
1 calls:
90.0ms
(/ (- (+ f n)) (- f n))

simplify69.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0293774
1927758
23021743
35001743

prune143.0ms

Filtered
100 candidates to 62 candidates (62.0%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New955100
Fresh000
Picked101
Done000
Total965101

Merged error: 0b

Counts
101 → 5

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)))

rewrite20.0ms

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×log1p-expm1-u
3×pow1 expm1-log1p-u add-log-exp
2×associate-/r/ associate-/l/ distribute-neg-frac
1×cbrt-undiv neg-sub0 log1p-udef expm1-log1p flip3-- frac-2neg flip3-+ div-sub log1p-expm1 distribute-frac-neg div-exp clear-num flip-- flip-+ div-inv expm1-udef
Counts
3 → 119
Calls
3 calls:
1.0ms
(log1p (expm1 (/ (- (+ f n)) (- f n))))
10.0ms
(/ (- (+ f n)) (- f n))
1.0ms
(expm1 (/ (- (+ f n)) (- f n)))

series277.0ms

Counts
3 → 9
Calls
3 calls:
110.0ms
(log1p (expm1 (/ (- (+ f n)) (- f n))))
63.0ms
(/ (- (+ f n)) (- f n))
104.0ms
(expm1 (/ (- (+ f n)) (- f n)))

simplify69.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0323918
1971882
23076867
35001867

prune203.0ms

Filtered
128 candidates to 83 candidates (64.8%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1280128
Fresh044
Picked011
Done000
Total1285133

Merged error: 0b

Counts
133 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite74.0ms

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:
9.0ms
(/ (- (+ f n)) (- f n))
23.0ms
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
15.0ms
(pow (/ (- (+ f n)) (- f n)) 3)

series249.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(/ (- (+ f n)) (- f n))
105.0ms
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
77.0ms
(pow (/ (- (+ f n)) (- f n)) 3)

simplify141.0ms

Algorithm
egg-herbie
Counts
411 → 411
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
09643812
146943496
250013496

prune375.0ms

Filtered
411 candidates to 148 candidates (36.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New4110411
Fresh033
Picked011
Done011
Total4115416

Merged error: 0b

Counts
416 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ f n)) (cbrt (+ f n)))
0.6b
(cbrt (+ f n))
0.6b
(cbrt (+ f n))
0.6b
(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))

series556.0ms

Counts
4 → 12
Calls
4 calls:
165.0ms
(* (cbrt (+ f n)) (cbrt (+ f n)))
133.0ms
(cbrt (+ f n))
125.0ms
(cbrt (+ f n))
132.0ms
(cbrt (+ f n))

simplify143.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 3 (134.0ms)

IterNodesCost
0255701
1930663
24376610
35001606

prune230.0ms

Filtered
115 candidates to 83 candidates (72.2%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1150115
Fresh022
Picked011
Done022
Total1155120

Merged error: 0b

Counts
120 → 5

regimes60.0ms

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
163.0ms8000×body80valid