Details

Time bar (total: 14.0s)

sample124.0ms

Algorithm
intervals
Results
60.0ms256×body80valid

simplify28.0ms

Counts
1 → 1
Iterations
IterNodes
done31
631
529
424
320
216
113
06

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite45.0ms

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

series100.0ms

Counts
1 → 3
Calls
1 calls:
100.0ms
(/ (- (+ f n)) (- f n))

simplify1.9s

Counts
98 → 98
Iterations
IterNodes
done5006
32226
2698
1311
0133

prune444.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
178×times-frac
174×*-un-lft-identity
122×add-sqr-sqrt
80×add-cube-cbrt
30×associate-/r*
26×distribute-lft-out
21×distribute-lft-out-- difference-of-squares
11×associate-/r/
9×add-cbrt-cube add-exp-log
8×associate-/l*
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv div-exp
2×pow1 clear-num frac-2neg add-log-exp associate-/l/
1×flip3-- div-sub flip--
Counts
2 → 168
Calls
2 calls:
19.0ms
(/ -1 (/ (- f n) (+ f n)))
18.0ms
(/ (- f n) (+ f n))

series190.0ms

Counts
2 → 6
Calls
2 calls:
118.0ms
(/ -1 (/ (- f n) (+ f n)))
72.0ms
(/ (- f n) (+ f n))

simplify1.8s

Counts
174 → 174
Iterations
IterNodes
done5002
22128
1589
0219

prune687.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

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

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
954×times-frac
631×*-un-lft-identity
491×add-sqr-sqrt
369×add-cube-cbrt
87×associate-/r/
70×distribute-lft-out
61×distribute-lft-out-- difference-of-squares
44×div-inv
31×add-exp-log
27×associate-/r* associate-/l*
23×flip3-+ flip-+
20×flip3-- flip--
19×add-cbrt-cube div-exp
10×cbrt-undiv
4×pow1
3×rec-exp clear-num frac-2neg 1-exp add-log-exp
1×pow-flip inv-pow associate-/l/
Counts
3 → 515
Calls
3 calls:
17.0ms
(/ -1 (- f n))
18.0ms
(/ 1 (+ f n))
69.0ms
(/ (/ -1 (- f n)) (/ 1 (+ f n)))

series226.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(/ -1 (- f n))
56.0ms
(/ 1 (+ f n))
116.0ms
(/ (/ -1 (- f n)) (/ 1 (+ f n)))

simplify1.7s

Counts
524 → 524
Iterations
IterNodes
done5000
12059
0640

prune1.9s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- f n))
0.1b
(/ -1 (sqrt (- f n)))
0.2b
(* (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))))
0.3b
(/ (+ f n) (sqrt (- f n)))

rewrite227.0ms

Algorithm
rewrite-expression-head
Rules
141×*-un-lft-identity
138×add-sqr-sqrt
124×times-frac
91×sqrt-prod
73×add-cube-cbrt
38×associate-*r*
30×associate-*l*
20×add-cbrt-cube add-exp-log
17×distribute-lft-out distribute-lft-out-- difference-of-squares
16×associate-/r*
10×sqrt-div
9×unswap-sqr
8×associate-/r/
7×pow1 associate-/l*
6×cbrt-undiv div-exp
5×flip3-- flip--
4×prod-exp cbrt-unprod div-inv add-log-exp
2×clear-num frac-2neg associate-/l/
1×frac-times rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 pow-prod-down associate-*l/ associate-*r/ *-commutative flip-+
Counts
4 → 223
Calls
4 calls:
7.0ms
(sqrt (- f n))
20.0ms
(/ -1 (sqrt (- f n)))
144.0ms
(* (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))))
48.0ms
(/ (+ f n) (sqrt (- f n)))

series929.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(sqrt (- f n))
123.0ms
(/ -1 (sqrt (- f n)))
113.0ms
(* (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))))
606.0ms
(/ (+ f n) (sqrt (- f n)))

simplify1.8s

Counts
235 → 235
Iterations
IterNodes
done5002
22354
1722
0255

prune969.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes70.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done8
18
07

end0.0ms

sample520.0ms

Algorithm
intervals
Results
345.0ms8000×body80valid