Details

Time bar (total: 2.2s)

analyze32.0ms

Algorithm
search

sample203.0ms

Algorithm
intervals
Results
194.0ms256×body80valid

simplify366.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0134
1164
2204
3264
4314
5334
6334

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize20.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (neg (+ 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
(/ (neg (+ f n)) (- f n))

series17.0ms

Counts
1 → 3
Calls
1 calls:
17.0ms
(/ (neg (+ f n)) (- f n))

simplify66.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0288754
1906738
22893733
35001733

prune77.0ms

Filtered
60 candidates to 98 candidates (-63.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New94498
Fresh000
Picked011
Done000
Total94599

Merged error: 0.0b

Counts
99 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (neg (+ f n)) (- f n))
0.0b
(cbrt (pow (/ (neg (+ f n)) (- f n)) 3))
0.1b
(pow (/ (neg (+ f n)) (- f n)) 3)

rewrite78.0ms

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:
9.0ms
(/ (neg (+ f n)) (- f n))
20.0ms
(cbrt (pow (/ (neg (+ f n)) (- f n)) 3))
19.0ms
(pow (/ (neg (+ f n)) (- f n)) 3)

series40.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(/ (neg (+ f n)) (- f n))
16.0ms
(cbrt (pow (/ (neg (+ f n)) (- f n)) 3))
14.0ms
(pow (/ (neg (+ f n)) (- f n)) 3)

simplify135.0ms

Algorithm
egg-herbie
Counts
405 → 405
Iterations

Useful iterations: 2 (91.0ms)

IterNodesCost
09533724
145163469
250023463

prune197.0ms

Filtered
140 candidates to 405 candidates (-189.3%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New4041405
Fresh033
Picked011
Done011
Total4046410

Merged error: 0b

Counts
410 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ -1 (- f n))
0.2b
(* (/ -1 (- f n)) (+ f n))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
21×associate-*l*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×associate-/r*
4×pow1 associate-*r* associate-/r/
3×associate-/l*
2×cbrt-undiv frac-times flip3-- flip3-+ associate-*r/ div-exp prod-exp flip-- cbrt-unprod flip-+ div-inv add-log-exp unswap-sqr
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down associate-*l/ clear-num *-commutative distribute-lft-out
Counts
2 → 84
Calls
2 calls:
5.0ms
(/ -1 (- f n))
11.0ms
(* (/ -1 (- f n)) (+ f n))

series14.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ -1 (- f n))
9.0ms
(* (/ -1 (- f n)) (+ f n))

simplify46.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0417470
11635436
25001406

prune83.0ms

Filtered
61 candidates to 90 candidates (-47.5%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New89190
Fresh123
Picked011
Done112
Total91596

Merged error: 0b

Counts
96 → 5

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ -1 (- f n))
0.0b
(+ (* (/ -1 (- f n)) f) (* (/ -1 (- f n)) n))
0.2b
(* (/ -1 (- f n)) f)
0.2b
(* (/ -1 (- f n)) n)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
64×add-sqr-sqrt
54×*-un-lft-identity
47×times-frac
42×associate-*l*
34×add-cube-cbrt
16×add-exp-log add-cbrt-cube
10×distribute-lft-out-- difference-of-squares
8×pow1
6×associate-*r* associate-/r/ add-log-exp
5×associate-/r*
4×associate-*l/ prod-exp cbrt-unprod unswap-sqr
3×cbrt-undiv flip3-- div-exp flip-- div-inv associate-/l*
2×pow-prod-down *-commutative
1×+-commutative frac-2neg flip3-+ frac-add clear-num sum-log flip-+ distribute-lft-out
Counts
4 → 130
Calls
4 calls:
5.0ms
(/ -1 (- f n))
7.0ms
(+ (* (/ -1 (- f n)) f) (* (/ -1 (- f n)) n))
9.0ms
(* (/ -1 (- f n)) f)
9.0ms
(* (/ -1 (- f n)) n)

series31.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(/ -1 (- f n))
15.0ms
(+ (* (/ -1 (- f n)) f) (* (/ -1 (- f n)) n))
6.0ms
(* (/ -1 (- f n)) f)
6.0ms
(* (/ -1 (- f n)) n)

simplify55.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0429698
11779634
25002597

prune131.0ms

Filtered
99 candidates to 142 candidates (-43.4%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1420142
Fresh022
Picked011
Done022
Total1425147

Merged error: 0b

Counts
147 → 5

regimes123.0ms

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

analyze27.0ms

Algorithm
search

sample312.0ms

Algorithm
intervals
Results
195.0ms8000×body80valid

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