Details

Time bar (total: 4.5s)

sample317.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify14.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

localize7.0ms

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))

series80.0ms

Counts
1 → 3
Calls
1 calls:
80.0ms
(/ (- (+ f n)) (- f n))

simplify68.0ms

Counts
100 → 100
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0293774
1927758
23021743
35001743
done5001743

prune148.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite157.0ms

Algorithm
rewrite-expression-head
Rules
229×*-un-lft-identity
180×times-frac
165×add-sqr-sqrt
132×exp-prod
91×add-cube-cbrt
67×log-pow
64×distribute-lft-neg-in distribute-rgt-neg-in
37×distribute-lft-out-- difference-of-squares
32×distribute-lft-out
16×neg-mul-1
12×associate-/l*
6×associate-/r/
5×add-exp-log associate-/r* add-cbrt-cube
4×pow1 distribute-frac-neg add-log-exp
3×neg-sub0 exp-neg expm1-log1p-u log-prod flip3-- div-sub flip-- log1p-expm1-u div-inv
2×log-div exp-diff associate-/l/ distribute-neg-frac
1×cbrt-undiv frac-2neg flip3-+ div-exp rem-log-exp log-rec clear-num flip-+ rem-exp-log
Counts
3 → 258
Calls
3 calls:
53.0ms
(exp (/ (- (+ f n)) (- f n)))
57.0ms
(log (exp (/ (- (+ f n)) (- f n))))
32.0ms
(/ (- (+ f n)) (- f n))

series225.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(exp (/ (- (+ f n)) (- f n)))
68.0ms
(log (exp (/ (- (+ f n)) (- f n))))
70.0ms
(/ (- (+ f n)) (- f n))

simplify83.0ms

Counts
267 → 267
Iterations

Useful iterations: 3 (68.0ms)

IterNodesCost
04151692
111291633
236541596
350031593
done50031593

prune446.0ms

Pruning

3 alts after pruning (3 fresh and 0 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))

rewrite200.0ms

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×expm1-log1p-u flip3-- rem-log-exp flip-- log1p-expm1-u
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 → 199
Calls
4 calls:
71.0ms
(/ 1 (exp (/ (+ f n) (- f n))))
34.0ms
(exp (/ (+ f n) (- f n)))
63.0ms
(log (/ 1 (exp (/ (+ f n) (- f n)))))
24.0ms
(/ (+ f n) (- f n))

series385.0ms

Counts
4 → 12
Calls
4 calls:
115.0ms
(/ 1 (exp (/ (+ f n) (- f n))))
78.0ms
(exp (/ (+ f n) (- f n)))
126.0ms
(log (/ 1 (exp (/ (+ f n) (- f n)))))
66.0ms
(/ (+ f n) (- f n))

simplify90.0ms

Counts
211 → 211
Iterations

Useful iterations: 3 (78.0ms)

IterNodesCost
04061295
111301203
236771150
350021144
done50021144

prune379.0ms

Pruning

3 alts after pruning (2 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))

rewrite191.0ms

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×expm1-log1p-u flip3-- flip-- log1p-expm1-u 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 → 230
Calls
4 calls:
65.0ms
(log (/ 1 (sqrt (exp (/ (+ f n) (- f n))))))
65.0ms
(log (/ 1 (sqrt (exp (/ (+ f n) (- f n))))))
26.0ms
(/ (+ f n) (- f n))
24.0ms
(/ (+ f n) (- f n))

series538.0ms

Counts
4 → 12
Calls
4 calls:
203.0ms
(log (/ 1 (sqrt (exp (/ (+ f n) (- f n))))))
205.0ms
(log (/ 1 (sqrt (exp (/ (+ f n) (- f n))))))
64.0ms
(/ (+ f n) (- f n))
66.0ms
(/ (+ f n) (- f n))

simplify69.0ms

Counts
242 → 242
Iterations

Useful iterations: 3 (53.0ms)

IterNodesCost
03631846
19841754
236001646
350011604
done50011604

prune604.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes48.0ms

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

sample314.0ms

Algorithm
intervals
Results
151.0ms8000×body80valid