Details

Time bar (total: 4.3s)

sample274.0ms

Algorithm
intervals
Results
6.0ms256×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))

rewrite18.0ms

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:
12.0ms
(/ (- (+ f n)) (- f n))

series84.0ms

Counts
1 → 3
Calls
1 calls:
83.0ms
(/ (- (+ f n)) (- f n))

simplify67.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0288764
1915748
22934733
35002733

prune155.0ms

Pruning

3 alts after pruning (3 fresh and 0 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))

rewrite52.0ms

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:
15.0ms
(/ (- 1) (/ (- f n) (+ f n)))
8.0ms
(/ (- f n) (+ f n))

series131.0ms

Counts
2 → 6
Calls
2 calls:
71.0ms
(/ (- 1) (/ (- f n) (+ f n)))
60.0ms
(/ (- f n) (+ f n))

simplify65.0ms

Algorithm
egg-herbie
Counts
365 → 365
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010173937
150013550

prune454.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite166.0ms

Algorithm
rewrite-expression-head
Rules
889×*-un-lft-identity
586×times-frac
471×add-sqr-sqrt
436×cbrt-prod
241×add-cube-cbrt
224×distribute-rgt-neg-in
196×distribute-lft-neg-in
149×swap-sqr
143×distribute-lft-out--
126×distribute-lft-out
103×difference-of-squares
69×associate-*r* associate-*l*
42×neg-mul-1
36×associate-/l*
15×associate-/r*
14×associate-/r/
12×add-exp-log
11×pow1
10×add-cbrt-cube
9×unswap-sqr
7×flip3-- flip-- div-inv
6×pow1/3 associate-/l/ distribute-neg-frac
4×cbrt-div add-log-exp
3×cbrt-undiv neg-sub0 frac-2neg flip3-+ div-sub distribute-frac-neg div-exp clear-num flip-+
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 602
Calls
4 calls:
87.0ms
(* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))
9.0ms
(/ (- (+ f n)) (- f n))
9.0ms
(/ (- (+ f n)) (- f n))
9.0ms
(/ (- (+ f n)) (- f n))

series373.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))
65.0ms
(/ (- (+ f n)) (- f n))
66.0ms
(/ (- (+ f n)) (- f n))
71.0ms
(/ (- (+ f n)) (- f n))

simplify113.0ms

Algorithm
egg-herbie
Counts
614 → 614
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
06417670
123647572
250017059

prune1.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ f n))
0.6b
(cbrt (- f n))
0.6b
(cbrt (- f n))
0.6b
(cbrt (- f n))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
19×cbrt-prod
16×*-un-lft-identity
14×add-sqr-sqrt
8×add-cube-cbrt cbrt-div
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×flip3-- flip-- distribute-lft-out-- difference-of-squares
1×flip3-+ flip-+ distribute-lft-out
Counts
4 → 59
Calls
4 calls:
3.0ms
(cbrt (+ f n))
3.0ms
(cbrt (- f n))
3.0ms
(cbrt (- f n))
3.0ms
(cbrt (- f n))

series559.0ms

Counts
4 → 12
Calls
4 calls:
127.0ms
(cbrt (+ f n))
141.0ms
(cbrt (- f n))
145.0ms
(cbrt (- f n))
146.0ms
(cbrt (- f n))

simplify50.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (44.0ms)

IterNodesCost
0218408
1516388
21669377
35001365

prune226.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes73.0ms

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

sample283.0ms

Algorithm
intervals
Results
159.0ms8000×body80valid