Details

Time bar (total: 11.4s)

sample132.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify55.0ms

Counts
1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite95.0ms

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-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/ distribute-neg-frac
1×pow1 cbrt-undiv neg-sub0 flip3-- frac-2neg flip3-+ div-sub distribute-frac-neg div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 95
Calls
1 calls:
88.0ms
(/ (- (+ f n)) (- f n))

series95.0ms

Counts
1 → 3
Calls
1 calls:
95.0ms
(/ (- (+ f n)) (- f n))

simplify1.2s

Counts
98 → 98

prune248.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
498×times-frac
438×*-un-lft-identity
334×add-sqr-sqrt
212×add-cube-cbrt
104×distribute-lft-neg-in distribute-rgt-neg-in
78×associate-/r*
61×distribute-lft-out-- difference-of-squares
52×distribute-lft-out
26×neg-mul-1
15×add-exp-log
11×associate-/r/
10×distribute-neg-frac
9×add-cbrt-cube
8×div-exp associate-/l*
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 382
Calls
2 calls:
68.0ms
(/ 1 (/ (- f n) (- (+ f n))))
31.0ms
(/ (- f n) (- (+ f n)))

series160.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(/ 1 (/ (- f n) (- (+ f n))))
85.0ms
(/ (- f n) (- (+ f n)))

simplify1.7s

Counts
388 → 388

prune800.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite389.0ms

Algorithm
rewrite-expression-head
Rules
136×*-un-lft-identity
98×times-frac
94×add-sqr-sqrt
78×exp-prod
60×add-cube-cbrt
54×pow-flip
29×log-pow
21×distribute-lft-out
17×distribute-lft-out-- difference-of-squares
13×log-prod
9×add-exp-log
8×associate-/r* associate-/r/ add-cbrt-cube
7×pow1 associate-/l*
6×div-inv
5×div-exp add-log-exp
4×flip3-- rem-log-exp flip--
2×cbrt-undiv rec-exp frac-2neg 1-exp clear-num associate-/l/ inv-pow
1×log-div flip3-+ log-rec flip-+ rem-exp-log
Counts
4 → 191
Calls
4 calls:
142.0ms
(/ 1 (exp (/ (+ f n) (- f n))))
134.0ms
(log (/ 1 (exp (/ (+ f n) (- f n)))))
72.0ms
(exp (/ (+ f n) (- f n)))
25.0ms
(/ (+ f n) (- f n))

series533.0ms

Counts
4 → 12
Calls
4 calls:
151.0ms
(/ 1 (exp (/ (+ f n) (- f n))))
180.0ms
(log (/ 1 (exp (/ (+ f n) (- f n)))))
115.0ms
(exp (/ (+ f n) (- f n)))
87.0ms
(/ (+ f n) (- f n))

simplify1.2s

Counts
203 → 203

prune536.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- f n))
0.6b
(cbrt (+ f n))
0.6b
(cbrt (+ f n))
0.6b
(cbrt (+ f n))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
17×cbrt-prod
16×*-un-lft-identity
10×add-sqr-sqrt
8×add-cube-cbrt cbrt-div
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×flip3-+ flip-+ distribute-lft-out
1×flip3-- flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 57
Calls
4 calls:
8.0ms
(cbrt (- f n))
8.0ms
(cbrt (+ f n))
7.0ms
(cbrt (+ f n))
4.0ms
(cbrt (+ f n))

series828.0ms

Counts
4 → 12
Calls
4 calls:
217.0ms
(cbrt (- f n))
208.0ms
(cbrt (+ f n))
191.0ms
(cbrt (+ f n))
211.0ms
(cbrt (+ f n))

simplify826.0ms

Counts
69 → 69

prune325.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes74.0ms

Accuracy

16.8% (0.0b remaining)

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

bsearch0.0ms

simplify1.3s

end0.0ms

sample695.0ms

Algorithm
intervals
Results
418.0ms8000×body80valid