Details

Time bar (total: 6.8s)

sample281.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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))

rewrite25.0ms

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))

series83.0ms

Counts
1 → 3
Calls
1 calls:
82.0ms
(/ (- (+ f n)) (- f n))

simplify65.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0288764
1915748
22934733
35002733

prune145.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- 1) (/ (- f n) (+ f n)))
0.0b
(/ (- f n) (+ f n))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
500×times-frac
424×*-un-lft-identity
302×add-sqr-sqrt
204×add-cube-cbrt
81×distribute-lft-neg-in distribute-rgt-neg-in
61×distribute-lft-out
49×distribute-lft-out-- difference-of-squares
30×associate-/r*
27×neg-mul-1
25×associate-/r/
15×associate-/l*
13×div-inv
12×flip3-+ flip-+
9×add-exp-log add-cbrt-cube
4×cbrt-undiv div-exp
2×pow1 frac-2neg div-sub clear-num associate-/l/ add-log-exp
1×neg-sub0 flip3-- distribute-frac-neg flip--
Counts
2 → 359
Calls
2 calls:
18.0ms
(/ (- 1) (/ (- f n) (+ f n)))
10.0ms
(/ (- f n) (+ f n))

series131.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(/ (- 1) (/ (- f n) (+ f n)))
67.0ms
(/ (- f n) (+ f n))

simplify59.0ms

Algorithm
egg-herbie
Counts
365 → 365
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
010193937
150013550

prune448.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

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))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
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 → 95
Calls
4 calls:
19.0ms
(* (cbrt (+ f n)) (cbrt (+ f n)))
2.0ms
(cbrt (+ f n))
2.0ms
(cbrt (+ f n))
2.0ms
(cbrt (+ f n))

series537.0ms

Counts
4 → 12
Calls
4 calls:
162.0ms
(* (cbrt (+ f n)) (cbrt (+ f n)))
124.0ms
(cbrt (+ f n))
122.0ms
(cbrt (+ f n))
129.0ms
(cbrt (+ f n))

simplify142.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (134.0ms)

IterNodesCost
0247671
1887634
24204583
35002579

prune231.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- 1) (/ (- f n) (+ f n)))
0.0b
(* (sqrt (/ (- 1) (/ (- f n) (+ f n)))) (sqrt (/ (- 1) (/ (- f n) (+ f n)))))
0.0b
(/ (- f n) (+ f n))
0.0b
(/ (- f n) (+ f n))

rewrite1.2s

Algorithm
rewrite-expression-head
Rules
3624×times-frac
3559×*-un-lft-identity
1821×add-sqr-sqrt
1718×sqrt-prod
1205×add-cube-cbrt
621×distribute-rgt-neg-in
586×swap-sqr
525×distribute-lft-neg-in
503×distribute-lft-out
422×distribute-lft-out--
278×difference-of-squares
268×associate-*r* associate-*l*
175×neg-mul-1
119×associate-/r/
62×div-inv
57×flip3-+ flip-+
34×associate-/r*
20×associate-/l*
19×pow1
16×unswap-sqr
15×add-exp-log add-cbrt-cube
8×sqrt-pow1 pow1/2
5×cbrt-undiv div-exp pow-prod-up
4×sqrt-div associate-/l/ add-log-exp
3×frac-2neg div-sub pow-prod-down clear-num pow-sqr
2×flip3-- flip--
1×pow2 neg-sub0 frac-times pow-plus sqrt-unprod associate-*r/ distribute-frac-neg associate-*l/ prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 1571
Calls
4 calls:
18.0ms
(/ (- 1) (/ (- f n) (+ f n)))
919.0ms
(* (sqrt (/ (- 1) (/ (- f n) (+ f n)))) (sqrt (/ (- 1) (/ (- f n) (+ f n)))))
11.0ms
(/ (- f n) (+ f n))
11.0ms
(/ (- f n) (+ f n))

series328.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(/ (- 1) (/ (- f n) (+ f n)))
136.0ms
(* (sqrt (/ (- 1) (/ (- f n) (+ f n)))) (sqrt (/ (- 1) (/ (- f n) (+ f n)))))
65.0ms
(/ (- f n) (+ f n))
60.0ms
(/ (- f n) (+ f n))

simplify244.0ms

Algorithm
egg-herbie
Counts
1583 → 1583
Iterations

Useful iterations: 1 (45.0ms)

IterNodesCost
0223618950
1500217734

prune2.3s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes48.0ms

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
0135
1135

end0.0ms

sample446.0ms

Algorithm
intervals
Results
321.0ms8000×body80valid