Details

Time bar (total: 4.8s)

sample261.0ms

Algorithm
intervals
Results
7.0ms256×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))

rewrite24.0ms

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:
19.0ms
(/ (- (+ f n)) (- f n))

series86.0ms

Counts
1 → 3
Calls
1 calls:
85.0ms
(/ (- (+ f n)) (- f n))

simplify64.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0288764
1915748
22934733
35002733

prune149.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite69.0ms

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:
15.0ms
(/ (- f n) (- (+ f n)))
27.0ms
(/ 1 (/ (- f n) (- (+ f n))))

series133.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(/ (- f n) (- (+ f n)))
69.0ms
(/ 1 (/ (- f n) (- (+ f n))))

simplify105.0ms

Algorithm
egg-herbie
Counts
388 → 388
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
09253936
143463555
250013203

prune387.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite360.0ms

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:
9.0ms
(/ n (- (+ f n)))
9.0ms
(/ f (- (+ f n)))
124.0ms
(- (/ f (- (+ f n))) (/ n (- (+ f n))))
194.0ms
(/ 1 (- (/ f (- (+ f n))) (/ n (- (+ f n)))))

series229.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(/ n (- (+ f n)))
41.0ms
(/ f (- (+ f n)))
70.0ms
(- (/ f (- (+ f n))) (/ n (- (+ f n))))
80.0ms
(/ 1 (- (/ f (- (+ f n))) (/ n (- (+ f n)))))

simplify72.0ms

Algorithm
egg-herbie
Counts
331 → 331
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
06362882
125692743
250012543

prune424.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ f (- (+ f n))) (/ n (- (+ f n))))
0.0b
(/ 1 (pow (- (/ f (- (+ f n))) (/ n (- (+ f n)))) 3))
0.0b
(cbrt (/ 1 (pow (- (/ f (- (+ f n))) (/ n (- (+ f n)))) 3)))
0.0b
(pow (- (/ f (- (+ f n))) (/ n (- (+ f n)))) 3)

rewrite1.0s

Algorithm
rewrite-expression-head
Rules
1492×*-un-lft-identity
1156×times-frac
472×add-sqr-sqrt
357×distribute-lft-out--
272×distribute-rgt-neg-in
268×add-cube-cbrt
248×unpow-prod-down cube-prod
212×cbrt-prod
204×distribute-lft-neg-in
170×distribute-lft-out
76×associate-/r/
68×associate-/r* distribute-neg-frac difference-of-squares
51×distribute-rgt-out--
36×div-inv
34×neg-mul-1 flip3-+ flip-+
14×add-exp-log
12×cube-div
8×cube-mult unpow3 sqr-pow
7×add-cbrt-cube
6×div-exp add-log-exp
5×pow1
4×pow-to-exp flip3-- pow-exp frac-sub flip-- sub-div
3×rec-exp pow-unpow 1-exp associate-/l*
1×cbrt-undiv sub-neg cbrt-div pow-flip pow-pow frac-2neg pow1/3 diff-log clear-num inv-pow rem-cube-cbrt
Counts
4 → 647
Calls
4 calls:
125.0ms
(- (/ f (- (+ f n))) (/ n (- (+ f n))))
393.0ms
(/ 1 (pow (- (/ f (- (+ f n))) (/ n (- (+ f n)))) 3))
203.0ms
(cbrt (/ 1 (pow (- (/ f (- (+ f n))) (/ n (- (+ f n)))) 3)))
202.0ms
(pow (- (/ f (- (+ f n))) (/ n (- (+ f n)))) 3)

series324.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(- (/ f (- (+ f n))) (/ n (- (+ f n))))
88.0ms
(/ 1 (pow (- (/ f (- (+ f n))) (/ n (- (+ f n)))) 3))
78.0ms
(cbrt (/ 1 (pow (- (/ f (- (+ f n))) (/ n (- (+ f n)))) 3)))
86.0ms
(pow (- (/ f (- (+ f n))) (/ n (- (+ f n)))) 3)

simplify165.0ms

Algorithm
egg-herbie
Counts
659 → 659
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
08999616
146168000
250017997

prune525.0ms

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

sample315.0ms

Algorithm
intervals
Results
179.0ms8000×body80valid