Details

Time bar (total: 6.5s)

sample315.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0134
1164
2204
3264
4314
5334
6334

prune5.0ms

Filtered
1 candidates to 0 candidates (100.0%)
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
(/ (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))

series38.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(/ (neg (+ f n)) (- f n))

simplify67.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0288754
1906738
22893733
35001733

prune209.0ms

Filtered
98 candidates to 60 candidates (38.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New95398
Fresh000
Picked011
Done000
Total95499

Merged error: 0b

Counts
99 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite162.0ms

Algorithm
rewrite-expression-head
Rules
862×*-un-lft-identity
634×cbrt-prod
586×times-frac
456×add-sqr-sqrt
232×add-cube-cbrt
212×distribute-rgt-neg-in
184×distribute-lft-neg-in
149×swap-sqr
140×distribute-lft-out--
120×distribute-lft-out
100×difference-of-squares
69×associate-*r* associate-*l*
39×neg-mul-1
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-- flip-- div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
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 → 542
Calls
4 calls:
9.0ms
(cbrt (/ (neg (+ f n)) (- f n)))
9.0ms
(cbrt (/ (neg (+ f n)) (- f n)))
9.0ms
(cbrt (/ (neg (+ f n)) (- f n)))
85.0ms
(* (cbrt (/ (neg (+ f n)) (- f n))) (cbrt (/ (neg (+ f n)) (- f n))))

series127.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(cbrt (/ (neg (+ f n)) (- f n)))
29.0ms
(cbrt (/ (neg (+ f n)) (- f n)))
35.0ms
(cbrt (/ (neg (+ f n)) (- f n)))
32.0ms
(* (cbrt (/ (neg (+ f n)) (- f n))) (cbrt (/ (neg (+ f n)) (- f n))))

simplify116.0ms

Algorithm
egg-herbie
Counts
554 → 554
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
05597652
119547538
250027311

prune3.8s

Filtered
554 candidates to 276 candidates (50.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New5540554
Fresh022
Picked011
Done011
Total5544558

Merged error: 0b

Counts
558 → 4

localize5.0ms

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))

series13.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(/ -1 (- f n))
8.0ms
(* (/ -1 (- f n)) (+ f n))

simplify43.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0417475
11572436
25002406

prune203.0ms

Filtered
90 candidates to 61 candidates (32.2%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New90090
Fresh011
Picked011
Done022
Total90494

Merged error: 0b

Counts
94 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ f n))
0.0b
(sqrt (+ f n))
0.2b
(/ (sqrt (+ f n)) (- f n))
0.2b
(* (neg (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
109×*-un-lft-identity
89×add-sqr-sqrt
72×times-frac
61×sqrt-prod
49×add-cube-cbrt
41×associate-*r*
18×associate-*l*
15×distribute-lft-out distribute-lft-out-- difference-of-squares
11×add-exp-log add-cbrt-cube
10×sqrt-div
8×pow1
7×distribute-lft-neg-in distribute-rgt-neg-in associate-/l*
5×flip3-+ associate-/r* flip-+
4×associate-/r/ distribute-neg-frac add-log-exp
3×unswap-sqr
2×cbrt-undiv frac-times rem-sqrt-square flip3-- sqrt-pow1 pow1/2 div-exp associate-*l/ prod-exp flip-- cbrt-unprod div-inv associate-/l/
1×distribute-lft-neg-out neg-mul-1 frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
4 → 176
Calls
4 calls:
3.0ms
(sqrt (+ f n))
3.0ms
(sqrt (+ f n))
8.0ms
(/ (sqrt (+ f n)) (- f n))
25.0ms
(* (neg (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)))

series41.0ms

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

simplify62.0ms

Algorithm
egg-herbie
Counts
188 → 188
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05201454
124051378
250021344

prune703.0ms

Filtered
188 candidates to 119 candidates (36.7%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1880188
Fresh000
Picked011
Done033
Total1884192

Merged error: 0b

Counts
192 → 4

regimes115.0ms

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

sample361.0ms

Algorithm
intervals
Results
179.0ms8000×body80valid

Profiling

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