Details

Time bar (total: 15.3s)

sample89.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify44.0ms

Counts
1 → 1
Iterations
IterNodes
done32
632
530
426
320
216
113
06

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 1 expressions with local error:

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

rewrite93.0ms

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-cbrt-cube add-exp-log
2×associate-/r/ distribute-neg-frac associate-/l/
1×neg-sub0 pow1 cbrt-undiv clear-num frac-2neg flip3-+ flip3-- div-sub div-exp distribute-frac-neg flip-+ div-inv flip-- add-log-exp
Counts
1 → 95
Calls
1 calls:
84.0ms
(/ (- (+ f n)) (- f n))

series145.0ms

Counts
1 → 3
Calls
1 calls:
141.0ms
(/ (- (+ f n)) (- f n))

simplify572.0ms

Counts
98 → 98
Iterations
IterNodes
done5002
21064
1311
0133

prune297.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
208×*-un-lft-identity
168×cbrt-prod
140×times-frac
136×add-sqr-sqrt
78×distribute-lft-neg-in distribute-rgt-neg-in add-cube-cbrt
36×distribute-lft-out
29×distribute-lft-out-- difference-of-squares
14×associate-/r/
7×flip3-- div-inv flip--
6×add-cbrt-cube add-exp-log
5×associate-/r*
4×pow1 associate-/l* add-log-exp
3×cbrt-div neg-mul-1 pow1/3 distribute-neg-frac
2×associate-/l/
1×cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+
Counts
4 → 240
Calls
4 calls:
32.0ms
(/ (+ f n) (- f n))
30.0ms
(cbrt (- (/ (+ f n) (- f n))))
31.0ms
(cbrt (- (/ (+ f n) (- f n))))
17.0ms
(cbrt (- (/ (+ f n) (- f n))))

series1.2s

Counts
4 → 12
Calls
4 calls:
118.0ms
(/ (+ f n) (- f n))
341.0ms
(cbrt (- (/ (+ f n) (- f n))))
376.0ms
(cbrt (- (/ (+ f n) (- f n))))
384.0ms
(cbrt (- (/ (+ f n) (- f n))))

simplify1.9s

Counts
252 → 252
Iterations
IterNodes
done5000
34338
2884
1343
0185

prune1.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (sqrt (+ f n)) (- f n))
0.1b
(* (sqrt (+ f n)) (- (/ (sqrt (+ f n)) (- f n))))

rewrite193.0ms

Algorithm
rewrite-expression-head
Rules
139×*-un-lft-identity
109×add-sqr-sqrt
105×times-frac
86×associate-*r*
69×sqrt-prod
61×add-cube-cbrt
41×distribute-lft-neg-in distribute-rgt-neg-in
22×distribute-lft-out-- difference-of-squares
17×distribute-lft-out
7×associate-*l* associate-/l*
6×add-cbrt-cube sqrt-div add-exp-log associate-/r/
5×associate-/r*
4×pow1
3×flip3-+ flip3-- flip-+ div-inv flip-- distribute-neg-frac
2×frac-times associate-*l/ add-log-exp unswap-sqr associate-/l/
1×cbrt-undiv clear-num neg-mul-1 frac-2neg div-exp pow-prod-down prod-exp associate-*r/ *-commutative distribute-rgt-neg-out cbrt-unprod
Counts
2 → 175
Calls
2 calls:
19.0ms
(/ (sqrt (+ f n)) (- f n))
165.0ms
(* (sqrt (+ f n)) (- (/ (sqrt (+ f n)) (- f n))))

series204.0ms

Counts
2 → 6
Calls
2 calls:
101.0ms
(/ (sqrt (+ f n)) (- f n))
103.0ms
(* (sqrt (+ f n)) (- (/ (sqrt (+ f n)) (- f n))))

simplify370.0ms

Counts
181 → 181
Iterations
IterNodes
done5000
1596
0229

prune835.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (sqrt (- (+ f n))) (/ (- f n) (sqrt (- (+ f n)))))
0.2b
(/ (- f n) (sqrt (- (+ f n))))

rewrite331.0ms

Algorithm
rewrite-expression-head
Rules
2490×times-frac
2130×*-un-lft-identity
2016×sqrt-prod
1458×add-sqr-sqrt
946×add-cube-cbrt
672×distribute-lft-neg-in distribute-rgt-neg-in
336×distribute-lft-out
256×distribute-lft-out-- difference-of-squares
168×neg-mul-1
96×associate-/r*
36×sqrt-div distribute-neg-frac
35×associate-/r/
20×associate-/l*
18×flip3-+ flip-+ div-inv
9×add-cbrt-cube add-exp-log
4×cbrt-undiv div-exp associate-/l/
2×pow1 clear-num frac-2neg add-log-exp
1×flip3-- div-sub flip--
Counts
2 → 1440
Calls
2 calls:
99.0ms
(/ (sqrt (- (+ f n))) (/ (- f n) (sqrt (- (+ f n)))))
33.0ms
(/ (- f n) (sqrt (- (+ f n))))

series231.0ms

Counts
2 → 6
Calls
2 calls:
105.0ms
(/ (sqrt (- (+ f n))) (/ (- f n) (sqrt (- (+ f n)))))
125.0ms
(/ (- f n) (sqrt (- (+ f n))))

simplify2.3s

Counts
1446 → 1446
Iterations
IterNodes
done5001
13222
01169

prune3.6s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes129.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done13
213
112
06

end0.0ms

sample1.2s

Algorithm
intervals
Results
875.0ms8000×body80valid