Details

Time bar (total: 2.7s)

sample267.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

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))

series82.0ms

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

simplify65.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0288764
1915748
22934733
35002733

prune148.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ -1 (- f n))
0.2b
(* (/ -1 (- f n)) (+ f n))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
21×associate-*l*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×associate-/r*
4×pow1 associate-*r* associate-/r/
3×associate-/l*
2×cbrt-undiv frac-times flip3-- flip3-+ associate-*r/ div-exp prod-exp flip-- cbrt-unprod flip-+ div-inv add-log-exp unswap-sqr
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down associate-*l/ clear-num *-commutative distribute-lft-out
Counts
2 → 84
Calls
2 calls:
5.0ms
(/ -1 (- f n))
23.0ms
(* (/ -1 (- f n)) (+ f n))

series104.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ -1 (- f n))
65.0ms
(* (/ -1 (- f n)) (+ f n))

simplify47.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0417470
11635436
25001406

prune142.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ -1 (- f n))
0.0b
(+ (* (/ -1 (- f n)) f) (* (/ -1 (- f n)) n))
0.2b
(* (/ -1 (- f n)) n)
0.3b
(* (/ -1 (- f n)) f)

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
64×add-sqr-sqrt
54×*-un-lft-identity
47×times-frac
42×associate-*l*
34×add-cube-cbrt
16×add-exp-log add-cbrt-cube
10×distribute-lft-out-- difference-of-squares
8×pow1
6×associate-*r* associate-/r/ add-log-exp
5×associate-/r*
4×associate-*l/ prod-exp cbrt-unprod unswap-sqr
3×cbrt-undiv flip3-- div-exp flip-- div-inv associate-/l*
2×pow-prod-down *-commutative
1×+-commutative frac-2neg flip3-+ frac-add clear-num sum-log flip-+ distribute-lft-out
Counts
4 → 130
Calls
4 calls:
5.0ms
(/ -1 (- f n))
6.0ms
(+ (* (/ -1 (- f n)) f) (* (/ -1 (- f n)) n))
16.0ms
(* (/ -1 (- f n)) n)
16.0ms
(* (/ -1 (- f n)) f)

series206.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(/ -1 (- f n))
79.0ms
(+ (* (/ -1 (- f n)) f) (* (/ -1 (- f n)) n))
44.0ms
(* (/ -1 (- f n)) n)
46.0ms
(* (/ -1 (- f n)) f)

simplify55.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0428698
11749634
25001597

prune245.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (* (/ -1 (- f n)) n) 3)
0.2b
(* (/ -1 (- f n)) n)
0.3b
(* (/ -1 (- f n)) f)
12.2b
(cbrt (pow (* (/ -1 (- f n)) n) 3))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
42×associate-*l*
38×*-un-lft-identity
32×times-frac
26×add-cube-cbrt
20×add-exp-log add-cbrt-cube
11×pow1
8×cbrt-prod
6×associate-*r* prod-exp cbrt-unprod distribute-lft-out-- difference-of-squares
4×associate-*l/ associate-/r/ add-log-exp unswap-sqr
3×cbrt-undiv pow-unpow div-exp pow-prod-down pow-exp rem-cube-cbrt
2×cube-div cube-mult unpow-prod-down flip3-- pow-pow unpow3 cube-prod *-commutative flip-- div-inv sqr-pow
1×pow-to-exp cbrt-div pow1/3 rem-cbrt-cube
Counts
4 → 123
Calls
4 calls:
6.0ms
(pow (* (/ -1 (- f n)) n) 3)
19.0ms
(* (/ -1 (- f n)) n)
16.0ms
(* (/ -1 (- f n)) f)
1.0ms
(cbrt (pow (* (/ -1 (- f n)) n) 3))

series270.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(pow (* (/ -1 (- f n)) n) 3)
48.0ms
(* (/ -1 (- f n)) n)
44.0ms
(* (/ -1 (- f n)) f)
79.0ms
(cbrt (pow (* (/ -1 (- f n)) n) 3))

simplify52.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0372570
11577534
25002533

prune296.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes49.0ms

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
0124
1134
2134

end0.0ms

sample434.0ms

Algorithm
intervals
Results
310.0ms8000×body80valid