Details

Time bar (total: 10.0m)

sample268.0ms

Algorithm
intervals
Results
6.0ms256×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 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))

series88.0ms

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

simplify70.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0288764
1915748
22934733
35002733

prune130.0ms

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 4 expressions with local error:

0.0b
(* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))
0.0b
(/ (- (+ f n)) (- f n))
0.0b
(/ (- (+ f n)) (- f n))
0.0b
(/ (- (+ f n)) (- f n))

rewrite163.0ms

Algorithm
rewrite-expression-head
Rules
889×*-un-lft-identity
586×times-frac
471×add-sqr-sqrt
436×cbrt-prod
241×add-cube-cbrt
224×distribute-rgt-neg-in
196×distribute-lft-neg-in
149×swap-sqr
143×distribute-lft-out--
126×distribute-lft-out
103×difference-of-squares
69×associate-*r* associate-*l*
42×neg-mul-1
36×associate-/l*
15×associate-/r*
14×associate-/r/
12×add-exp-log
11×pow1
10×add-cbrt-cube
9×unswap-sqr
7×flip3-- flip-- div-inv
6×pow1/3 associate-/l/ distribute-neg-frac
4×cbrt-div add-log-exp
3×cbrt-undiv neg-sub0 frac-2neg flip3-+ div-sub distribute-frac-neg div-exp clear-num flip-+
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 602
Calls
4 calls:
81.0ms
(* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))
12.0ms
(/ (- (+ f n)) (- f n))
9.0ms
(/ (- (+ f n)) (- f n))
9.0ms
(/ (- (+ f n)) (- f n))

series367.0ms

Counts
4 → 12
Calls
4 calls:
169.0ms
(* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))
62.0ms
(/ (- (+ f n)) (- f n))
67.0ms
(/ (- (+ f n)) (- f n))
68.0ms
(/ (- (+ f n)) (- f n))

simplify129.0ms

Algorithm
egg-herbie
Counts
614 → 614
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
06417672
123647572
250017059

prune932.0ms

Filtered
614 candidates to 318 candidates (51.8%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New6131614
Fresh123
Picked011
Done011
Total6145619

Merged error: 0b

Counts
619 → 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))

rewrite21.0ms

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:
9.0ms
(* (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:
166.0ms
(* (cbrt (+ f n)) (cbrt (+ f n)))
125.0ms
(cbrt (+ f n))
131.0ms
(cbrt (+ f n))
128.0ms
(cbrt (+ f n))

simplify147.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (138.0ms)

IterNodesCost
0247671
1887634
24204583
35002579

prune206.0ms

Filtered
107 candidates to 75 candidates (70.1%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1070107
Fresh022
Picked011
Done022
Total1075112

Merged error: 0b

Counts
112 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (pow (/ (- (+ f n)) (- f n)) 2/3) (cbrt (/ (- (+ f n)) (- f n))))
0.0b
(cbrt (/ (- (+ f n)) (- f n)))
0.0b
(/ (- (+ f n)) (- f n))
0.0b
(/ (- (+ f n)) (- f n))

rewrite143.0ms

Algorithm
rewrite-expression-head
Rules
384×*-un-lft-identity
307×times-frac
304×add-sqr-sqrt
152×add-cube-cbrt
140×cbrt-prod
108×distribute-lft-neg-in distribute-rgt-neg-in
72×unpow-prod-down
70×associate-*l*
69×associate-*r*
62×distribute-lft-out-- difference-of-squares
54×distribute-lft-out
27×neg-mul-1
24×associate-/l*
16×add-exp-log
12×unswap-sqr
10×associate-/r* associate-/r/
9×add-cbrt-cube
5×flip3-- flip-- div-inv
4×pow1 prod-exp associate-/l/ distribute-neg-frac add-log-exp sqr-pow
3×div-exp
2×cbrt-undiv neg-sub0 cbrt-div frac-2neg flip3-+ pow1/3 div-sub distribute-frac-neg pow-exp clear-num flip-+
1×pow-to-exp associate-*r/ *-commutative pow-prod-up cbrt-unprod
Counts
4 → 431
Calls
4 calls:
82.0ms
(* (pow (/ (- (+ f n)) (- f n)) 2/3) (cbrt (/ (- (+ f n)) (- f n))))
9.0ms
(cbrt (/ (- (+ f n)) (- f n)))
14.0ms
(/ (- (+ f n)) (- f n))
9.0ms
(/ (- (+ f n)) (- f n))

series6.3m

Counts
4 → 12
Calls
4 calls:
6.3m
(* (pow (/ (- (+ f n)) (- f n)) 2/3) (cbrt (/ (- (+ f n)) (- f n))))
234.0ms
(cbrt (/ (- (+ f n)) (- f n)))
69.0ms
(/ (- (+ f n)) (- f n))
63.0ms
(/ (- (+ f n)) (- f n))

simplify93.0ms

Algorithm
egg-herbie
Counts
443 → 443
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
07404569
124374493
250014258

prune881.0ms

Filtered
443 candidates to 276 candidates (62.3%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New4430443
Fresh011
Picked011
Done033
Total4435448

Merged error: 0b

Counts
448 → 5

regimes59.0ms

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
0124
1134
2134

end0.0ms

sample289.0ms

Algorithm
intervals
Results
164.0ms8000×body80valid

end3.6m