Details

Time bar (total: 11.6s)

sample260.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify26.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
068
1138
2168
3208
4268
5308
6318
done318

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite25.0ms

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:
19.0ms
(/ (- (+ f n)) (- f n))

series84.0ms

Counts
1 → 3
Calls
1 calls:
84.0ms
(/ (- (+ f n)) (- f n))

simplify2.6s

Counts
98 → 98
Iterations

Useful iterations: 3 (415.0ms)

IterNodesCost
01331451
12901378
26861348
318971340
446931340
done50001340

prune154.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
229×*-un-lft-identity
180×times-frac
165×add-sqr-sqrt
132×exp-prod
91×add-cube-cbrt
67×log-pow
64×distribute-lft-neg-in distribute-rgt-neg-in
37×distribute-lft-out-- difference-of-squares
32×distribute-lft-out
16×neg-mul-1
12×associate-/l*
6×associate-/r/
5×add-exp-log associate-/r* add-cbrt-cube
4×pow1 distribute-frac-neg add-log-exp
3×neg-sub0 exp-neg log-prod flip3-- div-sub flip-- div-inv
2×log-div exp-diff associate-/l/ distribute-neg-frac
1×cbrt-undiv frac-2neg flip3-+ div-exp rem-log-exp log-rec clear-num flip-+ rem-exp-log
Counts
3 → 252
Calls
3 calls:
48.0ms
(exp (/ (- (+ f n)) (- f n)))
36.0ms
(log (exp (/ (- (+ f n)) (- f n))))
18.0ms
(/ (- (+ f n)) (- f n))

series235.0ms

Counts
3 → 9
Calls
3 calls:
89.0ms
(exp (/ (- (+ f n)) (- f n)))
71.0ms
(log (exp (/ (- (+ f n)) (- f n))))
74.0ms
(/ (- (+ f n)) (- f n))

simplify1.3s

Counts
261 → 261
Iterations

Useful iterations: 3 (525.0ms)

IterNodesCost
02413236
14062862
28522790
323132768
done50022768

prune466.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite271.0ms

Algorithm
rewrite-expression-head
Rules
1254×times-frac
1007×*-un-lft-identity
783×add-sqr-sqrt
517×add-cube-cbrt
406×exp-prod
224×distribute-lft-neg-in distribute-rgt-neg-in
204×log-pow
133×distribute-lft-out-- difference-of-squares
112×distribute-lft-out
78×associate-/r*
56×neg-mul-1
25×associate-/r/
22×distribute-neg-frac
17×add-exp-log
14×div-inv
11×flip3-+ add-cbrt-cube flip-+
8×div-exp associate-/l*
6×pow1
5×add-log-exp
4×cbrt-undiv
3×log-prod
2×rec-exp frac-2neg 1-exp clear-num associate-/l/
1×flip3-- pow-flip div-sub rem-log-exp flip-- rem-exp-log inv-pow
Counts
4 → 808
Calls
4 calls:
76.0ms
(exp (/ 1 (/ (- f n) (- (+ f n)))))
15.0ms
(/ (- f n) (- (+ f n)))
80.0ms
(log (exp (/ 1 (/ (- f n) (- (+ f n))))))
26.0ms
(/ 1 (/ (- f n) (- (+ f n))))

series297.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(exp (/ 1 (/ (- f n) (- (+ f n)))))
70.0ms
(/ (- f n) (- (+ f n)))
66.0ms
(log (exp (/ 1 (/ (- f n) (- (+ f n))))))
72.0ms
(/ 1 (/ (- f n) (- (+ f n))))

simplify1.1s

Counts
820 → 820
Iterations

Useful iterations: done (1.1s)

IterNodesCost
066613540
1121010583
222829553
done50029529

prune1.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite144.0ms

Algorithm
rewrite-expression-head
Rules
314×*-un-lft-identity
240×times-frac
226×add-sqr-sqrt
138×log-pow
134×sqrt-pow1
132×exp-prod
126×add-cube-cbrt
88×distribute-lft-neg-in distribute-rgt-neg-in
50×distribute-lft-out-- difference-of-squares
44×distribute-lft-out
24×associate-/l*
22×neg-mul-1
12×log-prod
10×add-exp-log associate-/r*
8×pow1 associate-/r/ add-cbrt-cube
6×sqrt-prod
4×neg-sub0 log-div flip3-- sqrt-div div-sub distribute-frac-neg flip-- div-inv associate-/l/ distribute-neg-frac add-log-exp
2×cbrt-undiv exp-neg frac-2neg flip3-+ pow1/2 exp-diff div-exp rem-log-exp clear-num flip-+
Counts
4 → 360
Calls
4 calls:
43.0ms
(log (sqrt (exp (/ (- (+ f n)) (- f n)))))
40.0ms
(log (sqrt (exp (/ (- (+ f n)) (- f n)))))
17.0ms
(/ (- (+ f n)) (- f n))
21.0ms
(/ (- (+ f n)) (- f n))

series494.0ms

Counts
4 → 12
Calls
4 calls:
170.0ms
(log (sqrt (exp (/ (- (+ f n)) (- f n)))))
173.0ms
(log (sqrt (exp (/ (- (+ f n)) (- f n)))))
69.0ms
(/ (- (+ f n)) (- f n))
80.0ms
(/ (- (+ f n)) (- f n))

simplify1.3s

Counts
372 → 372
Iterations

Useful iterations: 3 (523.0ms)

IterNodesCost
02545078
14174494
28554370
322884340
done50014340

prune963.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes55.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11410
21510
done1510

end0.0ms

sample279.0ms

Algorithm
intervals
Results
159.0ms8000×body80valid