Details

Time bar (total: 4.8s)

sample276.0ms

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

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite28.0ms

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:
22.0ms
(/ (- (+ f n)) (- f n))

series82.0ms

Counts
1 → 3
Calls
1 calls:
81.0ms
(/ (- (+ f n)) (- f n))

simplify66.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0288764
1915748
22934733
35002733

prune147.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
498×times-frac
438×*-un-lft-identity
334×add-sqr-sqrt
212×add-cube-cbrt
104×distribute-lft-neg-in distribute-rgt-neg-in
78×associate-/r*
61×distribute-lft-out-- difference-of-squares
52×distribute-lft-out
26×neg-mul-1
15×add-exp-log
11×associate-/r/
10×distribute-neg-frac
9×add-cbrt-cube
8×div-exp associate-/l*
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 382
Calls
2 calls:
20.0ms
(/ (- f n) (- (+ f n)))
27.0ms
(/ 1 (/ (- f n) (- (+ f n))))

series134.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(/ (- f n) (- (+ f n)))
70.0ms
(/ 1 (/ (- f n) (- (+ f n))))

simplify102.0ms

Algorithm
egg-herbie
Counts
388 → 388
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
09253938
143473555
250023203

prune388.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite405.0ms

Algorithm
rewrite-expression-head
Rules
512×*-un-lft-identity
385×times-frac
180×add-sqr-sqrt
120×add-cube-cbrt
112×distribute-rgt-neg-in
105×distribute-lft-out--
92×distribute-lft-neg-in
66×distribute-lft-out
55×associate-/r*
28×associate-/r/
24×distribute-neg-frac
20×difference-of-squares
18×neg-mul-1
15×distribute-rgt-out--
13×div-inv
12×add-exp-log flip3-+ flip-+
10×add-cbrt-cube
9×associate-/l*
6×add-log-exp
5×pow1
4×div-exp
3×cbrt-undiv frac-2neg clear-num
2×flip3-- frac-sub flip-- sub-div
1×sub-neg rec-exp pow-flip diff-log 1-exp inv-pow
Counts
4 → 319
Calls
4 calls:
11.0ms
(/ f (- (+ f n)))
11.0ms
(/ n (- (+ f n)))
219.0ms
(/ 1 (- (/ f (- (+ f n))) (/ n (- (+ f n)))))
141.0ms
(- (/ f (- (+ f n))) (/ n (- (+ f n))))

series239.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(/ f (- (+ f n)))
43.0ms
(/ n (- (+ f n)))
81.0ms
(/ 1 (- (/ f (- (+ f n))) (/ n (- (+ f n)))))
75.0ms
(- (/ f (- (+ f n))) (/ n (- (+ f n))))

simplify77.0ms

Algorithm
egg-herbie
Counts
331 → 331
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
06362880
125462739
250012543

prune433.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ n (- (+ f n))) (/ n (- (+ f n))))
0.1b
(pow (/ f (- (+ f n))) 3)
0.1b
(pow (/ n (- (+ f n))) 3)
0.1b
(* (/ f (- (+ f n))) (/ f (- (+ f n))))

rewrite242.0ms

Algorithm
rewrite-expression-head
Rules
578×*-un-lft-identity
536×times-frac
326×add-sqr-sqrt
302×add-cube-cbrt
192×distribute-rgt-neg-in
168×distribute-lft-neg-in
132×swap-sqr
108×distribute-lft-out
84×unpow-prod-down cube-prod associate-*r* associate-*l*
36×neg-mul-1
34×add-exp-log add-cbrt-cube
24×associate-/r/ distribute-neg-frac
20×pow1
12×flip3-+ flip-+ div-inv
10×cbrt-undiv div-exp
8×prod-exp cbrt-unprod unswap-sqr
6×pow-unpow
4×pow-exp add-log-exp rem-cube-cbrt
2×cube-div pow2 cube-mult frac-times pow-to-exp pow-pow pow-plus unpow3 associate-*r/ pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up sqr-pow
Counts
4 → 564
Calls
4 calls:
82.0ms
(* (/ n (- (+ f n))) (/ n (- (+ f n))))
17.0ms
(pow (/ f (- (+ f n))) 3)
17.0ms
(pow (/ n (- (+ f n))) 3)
82.0ms
(* (/ f (- (+ f n))) (/ f (- (+ f n))))

series285.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(* (/ n (- (+ f n))) (/ n (- (+ f n))))
81.0ms
(pow (/ f (- (+ f n))) 3)
80.0ms
(pow (/ n (- (+ f n))) 3)
66.0ms
(* (/ f (- (+ f n))) (/ f (- (+ f n))))

simplify91.0ms

Algorithm
egg-herbie
Counts
576 → 576
Iterations

Useful iterations: 1 (40.0ms)

IterNodesCost
020995526
150014812

prune1.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes55.0ms

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
0145
1155
2155

end0.0ms

sample413.0ms

Algorithm
intervals
Results
288.0ms8000×body80valid