Details

Time bar (total: 3.9s)

sample38.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify1.2s

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
07817
17817

prune16.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
distribute-lft-out
associate-/r* distribute-lft-out-- difference-of-squares
associate-/l*
add-exp-log add-cbrt-cube
associate-/r/ associate-/l/
pow1 cbrt-undiv flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 45
Calls
1 calls:
16.0ms
(/ (+ f n) (- n f))

series27.0ms

Counts
1 → 3
Calls
1 calls:
26.0ms
(/ (+ f n) (- n f))

simplify119.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 0 (110.0ms)

IterNodesCost
04917532
14917532

prune113.0ms

Filtered
32 candidates to 48 candidates (-50.0%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New45348
Fresh000
Picked101
Done000
Total46349

Merged error: 0.0b

Counts
49 → 3

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
150×*-un-lft-identity
100×times-frac
98×add-sqr-sqrt
58×cbrt-prod
56×add-cube-cbrt
52×unpow-prod-down cube-prod
26×distribute-lft-out
21×distribute-lft-out-- difference-of-squares
10×associate-/r/
add-exp-log add-cbrt-cube
flip3-- associate-/r* flip-- div-inv
pow1 associate-/l*
pow-unpow add-log-exp
cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp associate-/l/ rem-cube-cbrt sqr-pow
pow-to-exp cbrt-div pow-pow frac-2neg flip3-+ pow1/3 clear-num rem-cbrt-cube flip-+
Counts
3 → 185
Calls
3 calls:
19.0ms
(cbrt (pow (/ (+ f n) (- n f)) 3))
14.0ms
(/ (+ f n) (- n f))
22.0ms
(pow (/ (+ f n) (- n f)) 3)

series59.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(cbrt (pow (/ (+ f n) (- n f)) 3))
14.0ms
(/ (+ f n) (- n f))
23.0ms
(pow (/ (+ f n) (- n f)) 3)

simplify79.0ms

Algorithm
egg-herbie
Counts
194 → 194
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
055592496

prune238.0ms

Filtered
85 candidates to 194 candidates (-128.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1940194
Fresh022
Picked011
Done000
Total1943197

Merged error: 0.0b

Counts
197 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
316×*-un-lft-identity
191×times-frac
188×sqrt-prod
187×add-sqr-sqrt
88×add-cube-cbrt
55×distribute-lft-out
53×swap-sqr
46×distribute-lft-out--
34×difference-of-squares
29×associate-*r* associate-*l*
20×pow1
14×associate-/r/
10×add-exp-log associate-/r* add-cbrt-cube
sqrt-pow1 pow1/2 unswap-sqr
associate-/l*
flip3-- flip-- div-inv
sqrt-div pow-prod-up
associate-/l/ add-log-exp
pow-prod-down pow-sqr
cbrt-undiv rem-sqrt-square frac-2neg flip3-+ div-exp clear-num flip-+
pow2 frac-times pow-plus sqrt-unprod associate-*r/ associate-*l/ prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 276
Calls
4 calls:
14.0ms
(sqrt (/ (+ f n) (- n f)))
55.0ms
(* (sqrt (/ (+ f n) (- n f))) (sqrt (/ (+ f n) (- n f))))
14.0ms
(/ (+ f n) (- n f))
14.0ms
(/ (+ f n) (- n f))

series108.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(sqrt (/ (+ f n) (- n f)))
28.0ms
(* (sqrt (/ (+ f n) (- n f))) (sqrt (/ (+ f n) (- n f))))
15.0ms
(/ (+ f n) (- n f))
15.0ms
(/ (+ f n) (- n f))

simplify155.0ms

Algorithm
egg-herbie
Counts
288 → 288
Iterations

Useful iterations: 0 (109.0ms)

IterNodesCost
049193546
149193546

prune333.0ms

Filtered
158 candidates to 288 candidates (-82.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2880288
Fresh011
Picked011
Done011
Total2883291

Merged error: 0.0b

Counts
291 → 3

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- n f) (- f n))
5.5b
(- (* f f) (* n n))
31.5b
(/ (- (* f f) (* n n)) (* (- n f) (- f n)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
14×flip3-- flip--
13×add-sqr-sqrt
11×*-un-lft-identity
10×add-exp-log add-cbrt-cube
frac-times associate-/r/
add-cube-cbrt
pow1 associate-*r* associate-*l* add-log-exp difference-of-squares
times-frac associate-*r/ associate-*l/ associate-/l*
sub-neg
cbrt-undiv distribute-rgt-in distribute-lft-in div-exp prod-exp cbrt-unprod associate-/l/ distribute-lft-out--
frac-2neg diff-log div-sub pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
3 → 81
Calls
3 calls:
15.0ms
(* (- n f) (- f n))
6.0ms
(- (* f f) (* n n))
20.0ms
(/ (- (* f f) (* n n)) (* (- n f) (- f n)))

series40.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(* (- n f) (- f n))
10.0ms
(- (* f f) (* n n))
22.0ms
(/ (- (* f f) (* n n)) (* (- n f) (- f n)))

simplify70.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
05049952

prune134.0ms

Filtered
64 candidates to 90 candidates (-40.6%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New89190
Fresh000
Picked101
Done022
Total90393

Merged error: 0b

Counts
93 → 3

regimes146.0ms

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 (1.0ms)

IterNodesCost
01910
11910

end0.0ms

sample701.0ms

Algorithm
intervals
Results
352.0ms8000×body80valid

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