Details

Time bar (total: 2.6s)

analyze33.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
25%74.9%0.1%4
37.5%62.4%0.1%5
62.4%37.5%0.1%6
87.4%12.5%0.1%7
87.4%12.5%0.1%8
93.7%6.2%0.1%9
93.7%6.2%0.1%10
96.8%3.1%0.1%11
96.8%3.1%0.1%12
98.3%1.6%0.1%13
98.3%1.6%0.1%14

sample205.0ms

Algorithm
intervals
Results
195.0ms256×body80valid

simplify370.0ms

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

localize22.0ms

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))

simplify68.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0288754
1906738
22893733
35001733

prune80.0ms

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

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New95398
Fresh000
Picked011
Done000
Total95499

Merged error: 0.0b

Counts
99 → 4

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (/ (neg (+ f n)) (sqrt (- f n))) (sqrt (- f n)))
0.3b
(/ (neg (+ f n)) (sqrt (- f n)))

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
1776×times-frac
1474×*-un-lft-identity
1150×add-sqr-sqrt
1120×sqrt-prod
702×add-cube-cbrt
324×distribute-lft-neg-in distribute-rgt-neg-in
224×distribute-lft-out-- difference-of-squares
162×distribute-lft-out
114×associate-/l*
81×neg-mul-1
22×sqrt-div associate-/r/
16×associate-/r*
11×flip3-- flip-- div-inv
9×add-exp-log add-cbrt-cube
4×cbrt-undiv div-exp
3×div-sub distribute-frac-neg associate-/l/
2×pow1 neg-sub0 frac-2neg clear-num distribute-neg-frac add-log-exp
1×flip3-+ flip-+
Counts
2 → 1079
Calls
2 calls:
38.0ms
(/ (/ (neg (+ f n)) (sqrt (- f n))) (sqrt (- f n)))
10.0ms
(/ (neg (+ f n)) (sqrt (- f n)))

series31.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ (/ (neg (+ f n)) (sqrt (- f n))) (sqrt (- f n)))
21.0ms
(/ (neg (+ f n)) (sqrt (- f n)))

simplify189.0ms

Algorithm
egg-herbie
Counts
1085 → 1085
Iterations

Useful iterations: 1 (40.0ms)

IterNodesCost
0183017556
1500115905

prune282.0ms

Filtered
292 candidates to 1085 candidates (-271.6%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New108411085
Fresh022
Picked011
Done011
Total108451089

Merged error: 0b

Counts
1089 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (neg (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)))
0.1b
(/ (sqrt (+ f n)) (- f n))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
101×*-un-lft-identity
83×add-sqr-sqrt
72×times-frac
53×sqrt-prod
45×add-cube-cbrt
41×associate-*r*
18×associate-*l*
15×distribute-lft-out-- difference-of-squares
13×distribute-lft-out
9×add-exp-log add-cbrt-cube
7×distribute-lft-neg-in distribute-rgt-neg-in associate-/l*
6×sqrt-div
5×associate-/r*
4×pow1 associate-/r/ distribute-neg-frac
3×flip3-+ flip-+ unswap-sqr
2×cbrt-undiv frac-times flip3-- div-exp associate-*l/ prod-exp flip-- cbrt-unprod div-inv associate-/l/ add-log-exp
1×distribute-lft-neg-out neg-mul-1 frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 144
Calls
2 calls:
29.0ms
(* (neg (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)))
8.0ms
(/ (sqrt (+ f n)) (- f n))

series27.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(* (neg (sqrt (+ f n))) (/ (sqrt (+ f n)) (- f n)))
13.0ms
(/ (sqrt (+ f n)) (- f n))

simplify58.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
04781278
122411206
250011176

prune100.0ms

Filtered
91 candidates to 150 candidates (-64.8%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1500150
Fresh022
Picked011
Done022
Total1505155

Merged error: 0b

Counts
155 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* n (- n f)) (* f f)) (- f n))
1.3b
(+ (pow f 3) (pow n 3))
2.4b
(+ (* n (- n f)) (* f f))
43.4b
(/ (neg (+ (pow f 3) (pow n 3))) (* (+ (* n (- n f)) (* f f)) (- f n)))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
64×*-un-lft-identity
25×distribute-lft-out
22×times-frac associate-/l*
20×unpow-prod-down cube-prod
18×distribute-lft-neg-in distribute-rgt-neg-in
16×add-sqr-sqrt
12×add-cube-cbrt
11×add-exp-log add-cbrt-cube
9×flip3-+ flip-+
8×frac-times associate-/r/ add-log-exp
6×pow1 flip3-- flip--
5×associate-*r* sum-cubes
4×distribute-rgt-in sub-neg associate-+l+ distribute-lft-in associate-*r/ associate-*l/
3×associate-*l*
2×cbrt-undiv +-commutative neg-mul-1 div-exp prod-exp sum-log cbrt-unprod associate-/l/ distribute-neg-frac
1×neg-sub0 frac-2neg div-sub distribute-frac-neg pow-prod-down clear-num associate-/r* *-commutative div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 135
Calls
4 calls:
11.0ms
(* (+ (* n (- n f)) (* f f)) (- f n))
12.0ms
(+ (pow f 3) (pow n 3))
6.0ms
(+ (* n (- n f)) (* f f))
22.0ms
(/ (neg (+ (pow f 3) (pow n 3))) (* (+ (* n (- n f)) (* f f)) (- f n)))

series43.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* (+ (* n (- n f)) (* f f)) (- f n))
8.0ms
(+ (pow f 3) (pow n 3))
6.0ms
(+ (* n (- n f)) (* f f))
19.0ms
(/ (neg (+ (pow f 3) (pow n 3))) (* (+ (* n (- n f)) (* f f)) (- f n)))

simplify86.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
05551507
129861369
250021368

prune185.0ms

Filtered
95 candidates to 147 candidates (-54.7%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1470147
Fresh011
Picked011
Done033
Total1475152

Merged error: 0b

Counts
152 → 5

regimes126.0ms

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

analyze26.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
25%74.9%0.1%4
37.5%62.4%0.1%5
62.4%37.5%0.1%6
87.4%12.5%0.1%7
87.4%12.5%0.1%8
93.7%6.2%0.1%9
93.7%6.2%0.1%10
96.8%3.1%0.1%11
96.8%3.1%0.1%12
98.3%1.6%0.1%13
98.3%1.6%0.1%14

sample324.0ms

Algorithm
intervals
Results
199.0ms8000×body80valid

Profiling

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