Details

Time bar (total: 14.2s)

sample136.0ms

Algorithm
intervals
Results
62.0ms256×body80valid

simplify36.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
06162
113162
216162
320162
426162
530162
632162
done32162

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))

rewrite49.0ms

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:
42.0ms
(/ (- (+ f n)) (- f n))

series133.0ms

Counts
1 → 3
Calls
1 calls:
133.0ms
(/ (- (+ f n)) (- f n))

simplify1.3s

Counts
100 → 100
Iterations

Useful iterations: done (1.3s)

IterNodesCost
013532366
131630272
2106930192
done500229993

prune380.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
6×distribute-lft-out
5×associate-/r* distribute-lft-out-- difference-of-squares
4×associate-/l*
3×add-cbrt-cube add-exp-log
2×associate-/r/ associate-/l/
1×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg flip3-+ flip3-- div-exp flip-+ log1p-expm1-u div-inv flip-- add-log-exp
Counts
1 → 47
Calls
1 calls:
25.0ms
(/ (+ f n) (- f n))

series106.0ms

Counts
1 → 3
Calls
1 calls:
106.0ms
(/ (+ f n) (- f n))

simplify2.3s

Counts
50 → 50
Iterations

Useful iterations: 3 (826.0ms)

IterNodesCost
07812489
118011647
258811527
3317211408
done500011408

prune244.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

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

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
24×add-sqr-sqrt
20×times-frac
14×add-cube-cbrt
6×distribute-lft-out
5×associate-/r* add-cbrt-cube add-exp-log distribute-lft-out-- difference-of-squares
4×log1p-expm1-u associate-/l*
3×expm1-log1p-u pow1 add-log-exp
2×associate-/r/ associate-/l/
1×cbrt-undiv log1p-udef expm1-log1p clear-num frac-2neg flip3-+ flip3-- div-exp log1p-expm1 flip-+ div-inv flip-- expm1-udef
Counts
3 → 69
Calls
3 calls:
0.0ms
(log1p (expm1 (/ (+ f n) (- f n))))
38.0ms
(/ (+ f n) (- f n))
1.0ms
(expm1 (/ (+ f n) (- f n)))

series416.0ms

Counts
3 → 9
Calls
3 calls:
159.0ms
(log1p (expm1 (/ (+ f n) (- f n))))
97.0ms
(/ (+ f n) (- f n))
161.0ms
(expm1 (/ (+ f n) (- f n)))

simplify2.3s

Counts
78 → 78
Iterations

Useful iterations: 3 (891.0ms)

IterNodesCost
010118699
121816216
266816096
3363615977
done500015977

prune388.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- f n))
0.0b
(sqrt (- f n))
0.0b
(/ (/ (+ f n) (sqrt (- f n))) (sqrt (- f n)))
0.3b
(/ (+ f n) (sqrt (- f n)))

rewrite170.0ms

Algorithm
rewrite-expression-head
Rules
624×times-frac
582×*-un-lft-identity
422×add-sqr-sqrt
410×sqrt-prod
256×add-cube-cbrt
82×distribute-lft-out-- difference-of-squares
81×distribute-lft-out
42×associate-/l*
26×sqrt-div
22×associate-/r/
16×associate-/r*
13×flip3-- flip--
11×add-cbrt-cube add-exp-log div-inv
6×pow1
4×expm1-log1p-u cbrt-undiv div-exp log1p-expm1-u add-log-exp
3×associate-/l/
2×rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2
1×flip3-+ flip-+
Counts
4 → 469
Calls
4 calls:
9.0ms
(sqrt (- f n))
9.0ms
(sqrt (- f n))
54.0ms
(/ (/ (+ f n) (sqrt (- f n))) (sqrt (- f n)))
40.0ms
(/ (+ f n) (sqrt (- f n)))

series896.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(sqrt (- f n))
108.0ms
(sqrt (- f n))
516.0ms
(/ (/ (+ f n) (sqrt (- f n))) (sqrt (- f n)))
194.0ms
(/ (+ f n) (sqrt (- f n)))

simplify2.7s

Counts
481 → 481
Iterations

Useful iterations: done (2.6s)

IterNodesCost
0392253845
1945224597
24927220436
done5000220211

prune1.6s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes93.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06162
19162
213162
done13162

end0.0ms

sample647.0ms

Algorithm
intervals
Results
419.0ms8000×body80valid