Details

Time bar (total: 34.7s)

sample65.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify148.0ms

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

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 1 expressions with local error:

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

rewrite130.0ms

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:
108.0ms
(/ (- (+ f n)) (- f n))

series153.0ms

Counts
1 → 3
Calls
1 calls:
152.0ms
(/ (- (+ f n)) (- f n))

simplify5.3s

Counts
101 → 101
Iterations
IterNodes
done5000
32276
2707
1317
0136

prune931.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize121.0ms

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)))

rewrite122.0ms

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 insert-posit16 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 → 122
Calls
3 calls:
1.0ms
(log1p (expm1 (/ (- (+ f n)) (- f n))))
104.0ms
(/ (- (+ f n)) (- f n))
3.0ms
(expm1 (/ (- (+ f n)) (- f n)))

series608.0ms

Counts
3 → 9
Calls
3 calls:
239.0ms
(log1p (expm1 (/ (- (+ f n)) (- f n))))
138.0ms
(/ (- (+ f n)) (- f n))
231.0ms
(expm1 (/ (- (+ f n)) (- f n)))

simplify5.4s

Counts
131 → 131
Iterations
IterNodes
done5001
32294
2741
1353
0161

prune1.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize145.0ms

Local error

Found 4 expressions with local error:

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

rewrite169.0ms

Algorithm
rewrite-expression-head
Rules
91×*-un-lft-identity
63×add-sqr-sqrt
60×times-frac
37×add-cube-cbrt
24×distribute-lft-neg-in distribute-rgt-neg-in
14×distribute-lft-out
13×distribute-lft-out-- difference-of-squares
12×associate-/l*
7×add-exp-log
6×neg-mul-1 add-cbrt-cube add-log-exp
5×pow1 associate-/r* log1p-expm1-u
4×expm1-log1p-u log-prod insert-posit16
3×fma-def flip3-+ flip-+
2×log-div associate-/r/ distribute-neg-frac expm1-udef associate-/l/
1×neg-sub0 cbrt-undiv +-commutative expm1-log1p clear-num associate-+r- sum-log frac-2neg log1p-def flip3-- div-sub div-exp rem-log-exp distribute-frac-neg log-pow div-inv flip--
Counts
4 → 148
Calls
4 calls:
20.0ms
(log (+ 1 (expm1 (/ (- (+ f n)) (- f n)))))
117.0ms
(/ (- (+ f n)) (- f n))
12.0ms
(+ 1 (expm1 (/ (- (+ f n)) (- f n))))
2.0ms
(expm1 (/ (- (+ f n)) (- f n)))

series676.0ms

Counts
4 → 12
Calls
4 calls:
205.0ms
(log (+ 1 (expm1 (/ (- (+ f n)) (- f n)))))
113.0ms
(/ (- (+ f n)) (- f n))
184.0ms
(+ 1 (expm1 (/ (- (+ f n)) (- f n))))
174.0ms
(expm1 (/ (- (+ f n)) (- f n)))

simplify6.3s

Counts
160 → 160
Iterations
IterNodes
done5000
32869
21055
1437
0191

prune1.6s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize218.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- (+ f n)) (- f n))
0.0b
(/ (- (+ f n)) (- f n))
0.0b
(/ (- (+ f n)) (- f n))
0.5b
(expm1 (* (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n)))))

rewrite406.0ms

Algorithm
rewrite-expression-head
Rules
247×*-un-lft-identity
180×times-frac
175×add-sqr-sqrt
97×add-cube-cbrt
72×distribute-lft-neg-in distribute-rgt-neg-in
39×distribute-lft-out-- difference-of-squares
36×distribute-lft-out associate-/l*
18×neg-mul-1
15×associate-/r*
10×add-cbrt-cube add-exp-log
6×associate-/r/ distribute-neg-frac associate-/l/
5×log1p-expm1-u
4×expm1-log1p-u pow1 insert-posit16 add-log-exp
3×neg-sub0 cbrt-undiv clear-num frac-2neg flip3-+ flip3-- div-sub div-exp distribute-frac-neg flip-+ div-inv flip--
1×expm1-log1p expm1-udef
Counts
4 → 306
Calls
4 calls:
125.0ms
(/ (- (+ f n)) (- f n))
125.0ms
(/ (- (+ f n)) (- f n))
105.0ms
(/ (- (+ f n)) (- f n))
2.0ms
(expm1 (* (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n)))))

series682.0ms

Counts
4 → 12
Calls
4 calls:
130.0ms
(/ (- (+ f n)) (- f n))
114.0ms
(/ (- (+ f n)) (- f n))
152.0ms
(/ (- (+ f n)) (- f n))
286.0ms
(expm1 (* (* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n)))) (cbrt (/ (- (+ f n)) (- f n)))))

simplify5.2s

Counts
318 → 318
Iterations
IterNodes
done5002
32316
2726
1342
0153

prune3.5s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes475.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify13.0ms

Iterations
IterNodes
done20
220
119
010

end0.0ms

sample918.0ms

Algorithm
intervals
Results
566.0ms8000×body80valid