Details

Time bar (total: 3.1s)

sample303.0ms

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))

rewrite66.0ms

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 expm1-log1p-u flip3-- frac-2neg flip3-+ div-sub distribute-frac-neg div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 97
Calls
1 calls:
60.0ms
(/ (- (+ f n)) (- f n))

series71.0ms

Counts
1 → 3
Calls
1 calls:
71.0ms
(/ (- (+ f n)) (- f n))

simplify68.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0293774
1927758
23021743
35001743

prune143.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(log1p (expm1 (/ (- (+ f n)) (- f n))))
0.0b
(/ (- (+ f n)) (- f n))
0.5b
(expm1 (/ (- (+ f n)) (- f n)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
84×*-un-lft-identity
60×add-sqr-sqrt times-frac
34×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×add-exp-log associate-/r* add-cbrt-cube
4×log1p-expm1-u
3×pow1 expm1-log1p-u add-log-exp
2×associate-/r/ associate-/l/ distribute-neg-frac
1×cbrt-undiv neg-sub0 log1p-udef expm1-log1p flip3-- frac-2neg flip3-+ div-sub log1p-expm1 distribute-frac-neg div-exp clear-num flip-- flip-+ div-inv expm1-udef
Counts
3 → 119
Calls
3 calls:
0.0ms
(log1p (expm1 (/ (- (+ f n)) (- f n))))
29.0ms
(/ (- (+ f n)) (- f n))
1.0ms
(expm1 (/ (- (+ f n)) (- f n)))

series254.0ms

Counts
3 → 9
Calls
3 calls:
100.0ms
(log1p (expm1 (/ (- (+ f n)) (- f n))))
60.0ms
(/ (- (+ f n)) (- f n))
94.0ms
(expm1 (/ (- (+ f n)) (- f n)))

simplify66.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0323918
1971882
23076867
35001867

prune222.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite287.0ms

Algorithm
rewrite-expression-head
Rules
807×*-un-lft-identity
526×times-frac
438×sqrt-prod
417×add-sqr-sqrt
209×add-cube-cbrt
200×distribute-rgt-neg-in
172×distribute-lft-neg-in
151×swap-sqr
130×distribute-lft-out--
114×distribute-lft-out
90×difference-of-squares
69×associate-*r* associate-*l*
36×neg-mul-1
24×associate-/l*
18×pow1
12×associate-/r/
10×associate-/r*
9×add-exp-log add-cbrt-cube unswap-sqr
8×sqrt-pow1 pow1/2
6×flip3-- flip-- div-inv
5×pow-prod-up
4×sqrt-div associate-/l/ distribute-neg-frac
3×expm1-log1p-u pow-prod-down pow-sqr log1p-expm1-u add-log-exp
2×cbrt-undiv neg-sub0 frac-2neg flip3-+ div-sub distribute-frac-neg div-exp clear-num flip-+
1×pow2 frac-times pow-plus sqrt-unprod associate-*r/ associate-*l/ prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
3 → 522
Calls
3 calls:
183.0ms
(* (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))))
29.0ms
(/ (- (+ f n)) (- f n))
32.0ms
(/ (- (+ f n)) (- f n))

series242.0ms

Counts
3 → 9
Calls
3 calls:
118.0ms
(* (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))))
59.0ms
(/ (- (+ f n)) (- f n))
64.0ms
(/ (- (+ f n)) (- f n))

simplify129.0ms

Algorithm
egg-herbie
Counts
531 → 531
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
06644660
132474524
250024509

prune808.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes41.0ms

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
0124
1134
2134

end0.0ms

sample314.0ms

Algorithm
intervals
Results
155.0ms8000×body80valid