Details

Time bar (total: 4.2s)

sample315.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify13.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0134
1164
2204
3264
4314
5334
6334
done334

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 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:
61.0ms
(/ (- (+ f n)) (- f n))

series82.0ms

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

simplify65.0ms

Counts
98 → 98
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0288764
1915748
22934733
35002733
done5002733

prune147.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite92.0ms

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:
40.0ms
(/ 1 (/ (- f n) (- (+ f n))))
29.0ms
(/ (- f n) (- (+ f n)))

series142.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(/ 1 (/ (- f n) (- (+ f n))))
72.0ms
(/ (- f n) (- (+ f n)))

simplify97.0ms

Counts
388 → 388
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
09253936
143463555
250013203
done50013203

prune382.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite197.0ms

Algorithm
rewrite-expression-head
Rules
136×*-un-lft-identity
98×times-frac
94×add-sqr-sqrt
78×exp-prod
60×add-cube-cbrt
54×pow-flip
29×log-pow
21×distribute-lft-out
17×distribute-lft-out-- difference-of-squares
13×log-prod
9×add-exp-log
8×associate-/r* associate-/r/ add-cbrt-cube
7×pow1 associate-/l*
6×div-inv
5×div-exp add-log-exp
4×flip3-- rem-log-exp flip--
2×cbrt-undiv rec-exp frac-2neg 1-exp clear-num associate-/l/ inv-pow
1×log-div flip3-+ log-rec flip-+ rem-exp-log
Counts
4 → 191
Calls
4 calls:
69.0ms
(/ 1 (exp (/ (+ f n) (- f n))))
34.0ms
(exp (/ (+ f n) (- f n)))
62.0ms
(log (/ 1 (exp (/ (+ f n) (- f n)))))
24.0ms
(/ (+ f n) (- f n))

series393.0ms

Counts
4 → 12
Calls
4 calls:
117.0ms
(/ 1 (exp (/ (+ f n) (- f n))))
79.0ms
(exp (/ (+ f n) (- f n)))
128.0ms
(log (/ 1 (exp (/ (+ f n) (- f n)))))
68.0ms
(/ (+ f n) (- f n))

simplify90.0ms

Counts
203 → 203
Iterations

Useful iterations: 3 (75.0ms)

IterNodesCost
03931251
111031159
235491106
350021103
done50021103

prune356.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (/ 1 (sqrt (exp (/ (+ f n) (- f n))))))
0.0b
(log (/ 1 (sqrt (exp (/ (+ f n) (- f n))))))
0.0b
(/ (+ f n) (- f n))
0.0b
(/ (+ f n) (- f n))

rewrite189.0ms

Algorithm
rewrite-expression-head
Rules
152×*-un-lft-identity
116×times-frac
108×add-sqr-sqrt
72×add-cube-cbrt
62×log-pow
58×pow-flip
54×sqrt-pow1
52×exp-prod
44×log-prod
22×distribute-lft-out
18×add-exp-log sqrt-prod distribute-lft-out-- difference-of-squares
10×pow1 associate-/r*
8×rem-log-exp associate-/r/ add-cbrt-cube associate-/l*
6×div-exp div-inv
4×flip3-- flip-- associate-/l/ add-log-exp
2×cbrt-undiv log-div rec-exp frac-2neg flip3-+ pow1/2 1-exp log-rec clear-num flip-+ inv-pow
Counts
4 → 222
Calls
4 calls:
65.0ms
(log (/ 1 (sqrt (exp (/ (+ f n) (- f n))))))
65.0ms
(log (/ 1 (sqrt (exp (/ (+ f n) (- f n))))))
23.0ms
(/ (+ f n) (- f n))
26.0ms
(/ (+ f n) (- f n))

series547.0ms

Counts
4 → 12
Calls
4 calls:
207.0ms
(log (/ 1 (sqrt (exp (/ (+ f n) (- f n))))))
210.0ms
(log (/ 1 (sqrt (exp (/ (+ f n) (- f n))))))
63.0ms
(/ (+ f n) (- f n))
67.0ms
(/ (+ f n) (- f n))

simplify67.0ms

Counts
234 → 234
Iterations

Useful iterations: 3 (52.0ms)

IterNodesCost
03561798
19661706
235011598
350011550
done50011550

prune565.0ms

Pruning

4 alts after pruning (2 fresh and 2 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

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0126
1126
done126

end0.0ms

sample312.0ms

Algorithm
intervals
Results
154.0ms8000×body80valid