Details

Time bar (total: 5.1s)

sample22.0ms

Algorithm
intervals
Results
11.0ms256×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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize198.0ms

Local error

Found 1 expressions with local error:

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

rewrite26.0ms

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:
20.0ms
(/ (- (+ f n)) (- f n))

series18.0ms

Counts
1 → 3
Calls
1 calls:
18.0ms
(/ (- (+ f n)) (- f n))

simplify66.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0288764
1915748
22934733
35002733

prune366.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 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))

rewrite107.0ms

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:
40.0ms
(log (exp (/ (- (+ f n)) (- f n))))
34.0ms
(exp (/ (- (+ f n)) (- f n)))
18.0ms
(/ (- (+ f n)) (- f n))

series34.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(log (exp (/ (- (+ f n)) (- f n))))
13.0ms
(exp (/ (- (+ f n)) (- f n)))
9.0ms
(/ (- (+ f n)) (- f n))

simplify80.0ms

Algorithm
egg-herbie
Counts
261 → 261
Iterations

Useful iterations: 3 (63.0ms)

IterNodesCost
04051660
111121601
235611564
350011561

prune1.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite94.0ms

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:
20.0ms
(/ (- (+ f n)) (- f n))
23.0ms
(pow (/ (- (+ f n)) (- f n)) 3)
27.0ms
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))

series40.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(/ (- (+ f n)) (- f n))
14.0ms
(pow (/ (- (+ f n)) (- f n)) 3)
13.0ms
(cbrt (pow (/ (- (+ f n)) (- f n)) 3))

simplify118.0ms

Algorithm
egg-herbie
Counts
405 → 405
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
09533788
145493489
250013481

prune1.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- f n)) (cbrt (- f n)))
0.5b
(cbrt (- f n))
0.5b
(cbrt (- f n))
0.5b
(cbrt (- f n))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 101
Calls
4 calls:
23.0ms
(* (cbrt (- f n)) (cbrt (- f n)))
2.0ms
(cbrt (- f n))
2.0ms
(cbrt (- f n))
2.0ms
(cbrt (- f n))

series108.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* (cbrt (- f n)) (cbrt (- f n)))
24.0ms
(cbrt (- f n))
24.0ms
(cbrt (- f n))
26.0ms
(cbrt (- f n))

simplify152.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 3 (143.0ms)

IterNodesCost
0261760
1914723
24493670
35001660

prune896.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes137.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0146
1156
2156

end0.0ms

sample409.0ms

Algorithm
intervals
Results
281.0ms8000×body80valid