Details

Time bar (total: 14.7s)

sample120.0ms

Algorithm
intervals
Results
20.0ms256×body80valid

simplify29.0ms

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

prune35.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite31.0ms

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-+ insert-posit16 log1p-expm1-u div-inv flip-- add-log-exp
Counts
1 → 98
Calls
1 calls:
28.0ms
(/ (- (+ f n)) (- f n))

series112.0ms

Counts
1 → 3
Calls
1 calls:
112.0ms
(/ (- (+ f n)) (- f n))

simplify1.1s

Counts
101 → 101
Iterations
IterNodes
done2000
32000
2709
1317
0136

prune879.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite183.0ms

Algorithm
rewrite-expression-head
Rules
103×*-un-lft-identity
67×add-sqr-sqrt
60×times-frac
37×add-cube-cbrt
18×distribute-lft-out
15×associate-/r* distribute-lft-out-- difference-of-squares
12×associate-/l*
10×add-cbrt-cube add-exp-log
7×cbrt-div
6×associate-/r/ associate-/l/
5×frac-times associate-*r/
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u distribute-neg-frac add-log-exp
3×cbrt-undiv clear-num frac-2neg flip3-+ flip3-- div-exp associate-*l/ flip-+ div-inv flip--
1×cbrt-prod pow1/3
Counts
4 → 163
Calls
4 calls:
86.0ms
(cbrt (* (/ (+ n f) (- f n)) (* (- (/ (+ n f) (- f n))) (/ (+ n f) (- f n)))))
29.0ms
(/ (+ n f) (- f n))
32.0ms
(/ (+ n f) (- f n))
34.0ms
(/ (+ n f) (- f n))

series766.0ms

Counts
4 → 12
Calls
4 calls:
409.0ms
(cbrt (* (/ (+ n f) (- f n)) (* (- (/ (+ n f) (- f n))) (/ (+ n f) (- f n)))))
125.0ms
(/ (+ n f) (- f n))
106.0ms
(/ (+ n f) (- f n))
126.0ms
(/ (+ n f) (- f n))

simplify1.0s

Counts
175 → 175
Iterations
IterNodes
done2021
32021
2832
1285
0120

prune1.9s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite47.0ms

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 insert-posit16 log1p-expm1-u add-log-exp associate-/l/
1×flip3-- div-sub flip--
Counts
2 → 174
Calls
2 calls:
27.0ms
(/ (- f n) (+ f n))
16.0ms
(/ -1 (/ (- f n) (+ f n)))

series239.0ms

Counts
2 → 6
Calls
2 calls:
129.0ms
(/ (- f n) (+ f n))
110.0ms
(/ -1 (/ (- f n) (+ f n)))

simplify1.4s

Counts
180 → 180
Iterations
IterNodes
done2000
32000
21853
1605
0225

prune1.5s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- f n) (+ f n))
0.0b
(/ -1 (/ (- f n) (+ f n)))
0.0b
(log1p (expm1 (/ -1 (/ (- f n) (+ f n)))))
0.5b
(expm1 (/ -1 (/ (- f n) (+ f n))))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
178×times-frac
176×*-un-lft-identity
124×add-sqr-sqrt
82×add-cube-cbrt
30×associate-/r*
26×distribute-lft-out
21×distribute-lft-out-- difference-of-squares
11×add-cbrt-cube add-exp-log associate-/r/
8×associate-/l*
6×div-inv
5×flip3-+ flip-+ log1p-expm1-u
4×expm1-log1p-u pow1 cbrt-undiv div-exp insert-posit16 add-log-exp
2×clear-num frac-2neg associate-/l/
1×log1p-udef expm1-log1p flip3-- div-sub log1p-expm1 flip-- expm1-udef
Counts
4 → 198
Calls
4 calls:
40.0ms
(/ (- f n) (+ f n))
19.0ms
(/ -1 (/ (- f n) (+ f n)))
0.0ms
(log1p (expm1 (/ -1 (/ (- f n) (+ f n)))))
1.0ms
(expm1 (/ -1 (/ (- f n) (+ f n))))

series526.0ms

Counts
4 → 12
Calls
4 calls:
114.0ms
(/ (- f n) (+ f n))
98.0ms
(/ -1 (/ (- f n) (+ f n)))
159.0ms
(log1p (expm1 (/ -1 (/ (- f n) (+ f n)))))
155.0ms
(expm1 (/ -1 (/ (- f n) (+ f n))))

simplify1.1s

Counts
210 → 210
Iterations
IterNodes
done2000
22000
1647
0250

prune2.3s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes73.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done26
326
224
116
09

end0.0ms

sample1.2s

Algorithm
intervals
Results
1.1s8000×body80valid