Details

Time bar (total: 10.9s)

sample150.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify34.0ms

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize631.0ms

Local error

Found 1 expressions with local error:

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

rewrite65.0ms

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 expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg flip3-+ flip3-- div-sub div-exp distribute-frac-neg flip-+ log1p-expm1-u div-inv flip-- add-log-exp
Counts
1 → 97
Calls
1 calls:
54.0ms
(/ (- (+ f n)) (- f n))

series149.0ms

Counts
1 → 3
Calls
1 calls:
148.0ms
(/ (- (+ f n)) (- f n))

simplify2.3s

Counts
100 → 100
Iterations
IterNodes
done5005
32249
2708
1316
0135

prune406.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite69.0ms

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×expm1-log1p-u pow1 clear-num frac-2neg log1p-expm1-u add-log-exp associate-/l/
1×flip3-- div-sub flip--
Counts
2 → 172
Calls
2 calls:
19.0ms
(/ -1 (/ (- f n) (+ f n)))
30.0ms
(/ (- f n) (+ f n))

series193.0ms

Counts
2 → 6
Calls
2 calls:
90.0ms
(/ -1 (/ (- f n) (+ f n)))
103.0ms
(/ (- f n) (+ f n))

simplify1.8s

Counts
178 → 178
Iterations
IterNodes
done5000
21995
1596
0223

prune722.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize40.0ms

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)))

rewrite157.0ms

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×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u 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 → 231
Calls
4 calls:
12.0ms
(sqrt (- f n))
10.0ms
(/ -1 (sqrt (- f n)))
86.0ms
(* (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))))
29.0ms
(/ (+ f n) (sqrt (- f n)))

series481.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(sqrt (- f n))
99.0ms
(/ -1 (sqrt (- f n)))
115.0ms
(* (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))))
183.0ms
(/ (+ f n) (sqrt (- f n)))

simplify1.8s

Counts
243 → 243
Iterations
IterNodes
done5001
22399
1745
0263

prune1.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes102.0ms

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

sample549.0ms

Algorithm
intervals
Results
360.0ms8000×body80valid