Details

Time bar (total: 11.7s)

sample140.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify46.0ms

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite57.0ms

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:
34.0ms
(/ (- (+ f n)) (- f n))

series106.0ms

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

simplify1.1s

Counts
100 → 100
Iterations
IterNodes
done5002
21069
1316
0135

prune491.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize35.0ms

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)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
84×*-un-lft-identity
60×add-sqr-sqrt times-frac
34×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* add-cbrt-cube add-exp-log
4×log1p-expm1-u
3×expm1-log1p-u pow1 add-log-exp
2×associate-/r/ distribute-neg-frac associate-/l/
1×neg-sub0 cbrt-undiv log1p-udef expm1-log1p clear-num frac-2neg flip3-+ flip3-- div-sub div-exp log1p-expm1 distribute-frac-neg flip-+ div-inv flip-- expm1-udef
Counts
3 → 119
Calls
3 calls:
0.0ms
(log1p (expm1 (/ (- (+ f n)) (- f n))))
53.0ms
(/ (- (+ f n)) (- f n))
1.0ms
(expm1 (/ (- (+ f n)) (- f n)))

series427.0ms

Counts
3 → 9
Calls
3 calls:
151.0ms
(log1p (expm1 (/ (- (+ f n)) (- f n))))
111.0ms
(/ (- (+ f n)) (- f n))
165.0ms
(expm1 (/ (- (+ f n)) (- f n)))

simplify1.1s

Counts
128 → 128
Iterations
IterNodes
done5001
21137
1352
0158

prune518.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite78.0ms

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:
34.0ms
(/ -1 (/ (- f n) (+ f n)))
31.0ms
(/ (- f n) (+ f n))

series252.0ms

Counts
2 → 6
Calls
2 calls:
169.0ms
(/ -1 (/ (- f n) (+ f n)))
83.0ms
(/ (- f n) (+ f n))

simplify2.2s

Counts
178 → 178
Iterations
IterNodes
done5000
23117
1609
0223

prune781.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize31.0ms

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)))

rewrite114.0ms

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×expm1-log1p-u rec-exp clear-num frac-2neg 1-exp log1p-expm1-u add-log-exp
1×pow-flip inv-pow associate-/l/
Counts
3 → 521
Calls
3 calls:
9.0ms
(/ -1 (- f n))
13.0ms
(/ 1 (+ f n))
43.0ms
(/ (/ -1 (- f n)) (/ 1 (+ f n)))

series231.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(/ -1 (- f n))
60.0ms
(/ 1 (+ f n))
123.0ms
(/ (/ -1 (- f n)) (/ 1 (+ f n)))

simplify1.7s

Counts
530 → 530
Iterations
IterNodes
done5001
12209
0646

prune1.4s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes137.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done15
215
114
08

end0.0ms

sample649.0ms

Algorithm
intervals
Results
387.0ms8000×body80valid