Details

Time bar (total: 3.3s)

sample265.0ms

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

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 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))

series96.0ms

Counts
1 → 3
Calls
1 calls:
96.0ms
(/ (- (+ f n)) (- f n))

simplify68.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0288764
1915748
22934733
35002733

prune138.0ms

Filtered
98 candidates to 60 candidates (61.2%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New94498
Fresh000
Picked011
Done000
Total94599

Merged error: 0b

Counts
99 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite71.0ms

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×pow-unpow 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 → 396
Calls
3 calls:
19.0ms
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
9.0ms
(/ (- (+ f n)) (- f n))
18.0ms
(pow (/ (- (+ f n)) (- f n)) 3)

series277.0ms

Counts
3 → 9
Calls
3 calls:
118.0ms
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))
73.0ms
(/ (- (+ f n)) (- f n))
86.0ms
(pow (/ (- (+ f n)) (- f n)) 3)

simplify136.0ms

Algorithm
egg-herbie
Counts
405 → 405
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
09533788
145493489
250013481

prune347.0ms

Filtered
405 candidates to 140 candidates (34.6%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New4050405
Fresh033
Picked011
Done011
Total4055410

Merged error: 0b

Counts
410 → 5

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))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
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 → 101
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))

series610.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(* (cbrt (- f n)) (cbrt (- f n)))
161.0ms
(cbrt (- f n))
160.0ms
(cbrt (- f n))
158.0ms
(cbrt (- f n))

simplify161.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 3 (151.0ms)

IterNodesCost
0261760
1914723
24493670
35001660

prune246.0ms

Filtered
113 candidates to 81 candidates (71.7%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1130113
Fresh022
Picked011
Done022
Total1135118

Merged error: 0b

Counts
118 → 5

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- f n) (- f n))
4.7b
(- (* f f) (* n n))
30.0b
(/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
27×*-un-lft-identity
23×add-sqr-sqrt
14×flip3-- flip--
13×add-cube-cbrt
12×times-frac associate-/l*
10×pow1 add-exp-log add-cbrt-cube
9×difference-of-squares
8×distribute-lft-neg-in frac-times distribute-rgt-neg-in associate-/r/
7×swap-sqr
6×distribute-lft-out--
5×associate-*r* associate-*l* add-log-exp
4×associate-*r/ associate-*l/
3×sub-neg
2×cbrt-undiv distribute-rgt-in neg-mul-1 distribute-lft-in div-exp prod-exp cbrt-unprod associate-/l/ distribute-neg-frac
1×pow2 neg-sub0 frac-2neg pow-plus diff-log div-sub distribute-frac-neg pow-prod-down clear-num associate-/r* pow-sqr *-commutative pow-prod-up div-inv unswap-sqr
Counts
3 → 109
Calls
3 calls:
9.0ms
(* (- f n) (- f n))
3.0ms
(- (* f f) (* n n))
13.0ms
(/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))

series139.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(* (- f n) (- f n))
33.0ms
(- (* f f) (* n n))
86.0ms
(/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))

simplify76.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
0429857
12303757
25002716

prune163.0ms

Filtered
118 candidates to 76 candidates (64.4%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1180118
Fresh011
Picked011
Done033
Total1185123

Merged error: 0b

Counts
123 → 5

regimes58.0ms

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
0156
1166
2166

end0.0ms

sample337.0ms

Algorithm
intervals
Results
204.0ms8000×body80valid