Details

Time bar (total: 7.8s)

sample275.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0134
1164
2204
3264
4314
5334
6334

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite24.0ms

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:
19.0ms
(/ (- (+ f n)) (- f n))

series87.0ms

Counts
1 → 3
Calls
1 calls:
87.0ms
(/ (- (+ f n)) (- f n))

simplify65.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0288764
1915748
22934733
35002733

prune150.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
229×*-un-lft-identity
180×times-frac
165×add-sqr-sqrt
132×exp-prod
91×add-cube-cbrt
67×log-pow
64×distribute-lft-neg-in distribute-rgt-neg-in
37×distribute-lft-out-- difference-of-squares
32×distribute-lft-out
16×neg-mul-1
12×associate-/l*
6×associate-/r/
5×add-exp-log associate-/r* add-cbrt-cube
4×pow1 distribute-frac-neg add-log-exp
3×neg-sub0 exp-neg log-prod flip3-- div-sub flip-- div-inv
2×log-div exp-diff associate-/l/ distribute-neg-frac
1×cbrt-undiv frac-2neg flip3-+ div-exp rem-log-exp log-rec clear-num flip-+ rem-exp-log
Counts
3 → 252
Calls
3 calls:
36.0ms
(log (exp (/ (- (+ f n)) (- f n))))
35.0ms
(exp (/ (- (+ f n)) (- f n)))
17.0ms
(/ (- (+ f n)) (- f n))

series226.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(log (exp (/ (- (+ f n)) (- f n))))
89.0ms
(exp (/ (- (+ f n)) (- f n)))
67.0ms
(/ (- (+ f n)) (- f n))

simplify79.0ms

Algorithm
egg-herbie
Counts
261 → 261
Iterations

Useful iterations: 3 (62.0ms)

IterNodesCost
04051660
111121601
235611564
350011561

prune460.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- (+ f n)) (- f n))
0.0b
(/ (- (+ f n)) (- f n))
0.0b
(log (sqrt (exp (/ (- (+ f n)) (- f n)))))
0.0b
(log (sqrt (exp (/ (- (+ f n)) (- f n)))))

rewrite137.0ms

Algorithm
rewrite-expression-head
Rules
314×*-un-lft-identity
240×times-frac
226×add-sqr-sqrt
138×log-pow
134×sqrt-pow1
132×exp-prod
126×add-cube-cbrt
88×distribute-lft-neg-in distribute-rgt-neg-in
50×distribute-lft-out-- difference-of-squares
44×distribute-lft-out
24×associate-/l*
22×neg-mul-1
12×log-prod
10×add-exp-log associate-/r*
8×pow1 associate-/r/ add-cbrt-cube
6×sqrt-prod
4×neg-sub0 log-div flip3-- sqrt-div div-sub distribute-frac-neg flip-- div-inv associate-/l/ distribute-neg-frac add-log-exp
2×cbrt-undiv exp-neg frac-2neg flip3-+ pow1/2 exp-diff div-exp rem-log-exp clear-num flip-+
Counts
4 → 360
Calls
4 calls:
19.0ms
(/ (- (+ f n)) (- f n))
17.0ms
(/ (- (+ f n)) (- f n))
39.0ms
(log (sqrt (exp (/ (- (+ f n)) (- f n)))))
41.0ms
(log (sqrt (exp (/ (- (+ f n)) (- f n)))))

series466.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(/ (- (+ f n)) (- f n))
68.0ms
(/ (- (+ f n)) (- f n))
164.0ms
(log (sqrt (exp (/ (- (+ f n)) (- f n)))))
168.0ms
(log (sqrt (exp (/ (- (+ f n)) (- f n)))))

simplify91.0ms

Algorithm
egg-herbie
Counts
372 → 372
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
04162606
111132528
235352458
350022458

prune951.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (sqrt (exp (/ (- (+ f n)) (- f n)))))
0.0b
(log (sqrt (exp (/ (- (+ f n)) (- f n)))))
0.0b
(log (sqrt (exp (/ (- (+ f n)) (- f n)))))
1.0b
(* (cbrt (log (sqrt (exp (/ (- (+ f n)) (- f n)))))) (cbrt (log (sqrt (exp (/ (- (+ f n)) (- f n)))))))

rewrite524.0ms

Algorithm
rewrite-expression-head
Rules
874×*-un-lft-identity
645×log-pow
629×sqrt-pow1
622×exp-prod
580×times-frac
456×cbrt-prod
450×add-sqr-sqrt
242×add-cube-cbrt
212×distribute-rgt-neg-in
184×distribute-lft-neg-in
157×swap-sqr
140×distribute-lft-out--
120×distribute-lft-out
100×difference-of-squares
75×associate-*r* associate-*l*
39×neg-mul-1
27×pow1
18×log-prod
14×associate-/r/
9×add-exp-log sqrt-prod
7×flip3-- pow1/2 flip-- div-inv
6×log-div pow1/3 sqrt-div
4×add-cbrt-cube add-log-exp unswap-sqr
3×neg-sub0 exp-neg exp-diff div-sub distribute-frac-neg rem-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 584
Calls
4 calls:
41.0ms
(log (sqrt (exp (/ (- (+ f n)) (- f n)))))
41.0ms
(log (sqrt (exp (/ (- (+ f n)) (- f n)))))
38.0ms
(log (sqrt (exp (/ (- (+ f n)) (- f n)))))
330.0ms
(* (cbrt (log (sqrt (exp (/ (- (+ f n)) (- f n)))))) (cbrt (log (sqrt (exp (/ (- (+ f n)) (- f n)))))))

series1.9s

Counts
4 → 12
Calls
4 calls:
168.0ms
(log (sqrt (exp (/ (- (+ f n)) (- f n)))))
169.0ms
(log (sqrt (exp (/ (- (+ f n)) (- f n)))))
168.0ms
(log (sqrt (exp (/ (- (+ f n)) (- f n)))))
1.4s
(* (cbrt (log (sqrt (exp (/ (- (+ f n)) (- f n)))))) (cbrt (log (sqrt (exp (/ (- (+ f n)) (- f n)))))))

simplify128.0ms

Algorithm
egg-herbie
Counts
596 → 596
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
08108710
126628547
250028134

prune1.6s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes57.0ms

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
0146
1156
2156

end0.0ms

sample425.0ms

Algorithm
intervals
Results
287.0ms8000×body80valid