Details

Time bar (total: 3.6s)

sample312.0ms

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

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite63.0ms

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:
57.0ms
(/ (- (+ f n)) (- f n))

series79.0ms

Counts
1 → 3
Calls
1 calls:
78.0ms
(/ (- (+ f n)) (- f n))

simplify66.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0293774
1927758
23021743
35001743

prune145.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

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)))

rewrite36.0ms

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))))
30.0ms
(/ (- (+ f n)) (- f n))
0.0ms
(expm1 (/ (- (+ f n)) (- f n)))

series273.0ms

Counts
3 → 9
Calls
3 calls:
105.0ms
(log1p (expm1 (/ (- (+ f n)) (- f n))))
64.0ms
(/ (- (+ f n)) (- f n))
104.0ms
(expm1 (/ (- (+ f n)) (- f n)))

simplify68.0ms

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

localize10.0ms

Local error

Found 4 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))
0.5b
(expm1 (* (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n)))))

rewrite300.0ms

Algorithm
rewrite-expression-head
Rules
808×*-un-lft-identity
526×times-frac
438×sqrt-prod
418×add-sqr-sqrt
210×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*
19×pow1
12×associate-/r/
10×add-exp-log associate-/r* add-cbrt-cube
9×unswap-sqr
8×sqrt-pow1 pow1/2
6×flip3-- flip-- div-inv
5×pow-prod-up log1p-expm1-u
4×expm1-log1p-u sqrt-div associate-/l/ distribute-neg-frac add-log-exp
3×pow-prod-down pow-sqr
2×cbrt-undiv neg-sub0 frac-2neg flip3-+ div-sub distribute-frac-neg div-exp clear-num flip-+
1×pow2 frac-times expm1-log1p pow-plus sqrt-unprod associate-*r/ associate-*l/ prod-exp rem-square-sqrt *-commutative cbrt-unprod expm1-udef
Counts
4 → 533
Calls
4 calls:
191.0ms
(* (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))))
30.0ms
(/ (- (+ f n)) (- f n))
33.0ms
(/ (- (+ f n)) (- f n))
0.0ms
(expm1 (* (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n)))))

series422.0ms

Counts
4 → 12
Calls
4 calls:
126.0ms
(* (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))))
66.0ms
(/ (- (+ f n)) (- f n))
67.0ms
(/ (- (+ f n)) (- f n))
163.0ms
(expm1 (* (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n)))))

simplify133.0ms

Algorithm
egg-herbie
Counts
545 → 545
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
06904815
133024647
250024632

prune1.0s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes45.0ms

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
150.0ms8000×body80valid