Details

Time bar (total: 10.6s)

sample68.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify50.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
068
1138
2168
3208
4268
5308
6328
done328

prune40.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite78.0ms

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 expm1-log1p-u flip3-- frac-2neg flip3-+ div-sub distribute-frac-neg div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 97
Calls
1 calls:
68.0ms
(/ (- (+ f n)) (- f n))

series137.0ms

Counts
1 → 3
Calls
1 calls:
136.0ms
(/ (- (+ f n)) (- f n))

simplify738.0ms

Counts
100 → 100
Iterations

Useful iterations: done (731.0ms)

IterNodesCost
01351469
13161395
210801367
done50011358

prune238.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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))

rewrite323.0ms

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 expm1-log1p-u log-prod flip3-- div-sub flip-- log1p-expm1-u 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 → 258
Calls
3 calls:
115.0ms
(exp (/ (- (+ f n)) (- f n)))
128.0ms
(log (exp (/ (- (+ f n)) (- f n))))
44.0ms
(/ (- (+ f n)) (- f n))

series384.0ms

Counts
3 → 9
Calls
3 calls:
146.0ms
(exp (/ (- (+ f n)) (- f n)))
125.0ms
(log (exp (/ (- (+ f n)) (- f n))))
113.0ms
(/ (- (+ f n)) (- f n))

simplify855.0ms

Counts
267 → 267
Iterations

Useful iterations: done (845.0ms)

IterNodesCost
02473296
14502917
213582847
done50012827

prune660.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
87×*-un-lft-identity
63×add-sqr-sqrt
60×times-frac
37×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×add-exp-log neg-mul-1 add-cbrt-cube
5×pow1 associate-/r* log1p-expm1-u
4×expm1-log1p-u log-pow add-log-exp
3×log-prod exp-prod
2×associate-/r/ associate-/l/ distribute-neg-frac
1×cbrt-undiv neg-sub0 log1p-udef expm1-log1p flip3-- frac-2neg flip3-+ div-sub log1p-expm1 distribute-frac-neg div-exp rem-log-exp clear-num flip-- flip-+ div-inv expm1-udef
Counts
4 → 136
Calls
4 calls:
5.0ms
(log (exp (log1p (expm1 (/ (- (+ f n)) (- f n))))))
35.0ms
(/ (- (+ f n)) (- f n))
0.0ms
(log1p (expm1 (/ (- (+ f n)) (- f n))))
1.0ms
(expm1 (/ (- (+ f n)) (- f n)))

series570.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(log (exp (log1p (expm1 (/ (- (+ f n)) (- f n))))))
95.0ms
(/ (- (+ f n)) (- f n))
187.0ms
(log1p (expm1 (/ (- (+ f n)) (- f n))))
151.0ms
(expm1 (/ (- (+ f n)) (- f n)))

simplify774.0ms

Counts
148 → 148
Iterations

Useful iterations: done (770.0ms)

IterNodesCost
01812046
13821863
211661776
done50001767

prune551.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite480.0ms

Algorithm
rewrite-expression-head
Rules
1420×times-frac
1145×*-un-lft-identity
823×add-sqr-sqrt
565×add-cube-cbrt
530×exp-prod
266×log-pow
237×distribute-lft-neg-in distribute-rgt-neg-in
161×distribute-lft-out
129×distribute-lft-out-- difference-of-squares
79×neg-mul-1
67×associate-/r/
35×div-inv
32×flip3-+ flip-+
30×associate-/r*
15×associate-/l*
11×add-exp-log add-cbrt-cube
5×pow1 add-log-exp
4×cbrt-undiv expm1-log1p-u div-sub distribute-frac-neg div-exp log1p-expm1-u
3×neg-sub0 exp-neg log-prod
2×log-div frac-2neg exp-diff clear-num associate-/l/
1×flip3-- rem-log-exp log-rec flip-- rem-exp-log
Counts
4 → 922
Calls
4 calls:
141.0ms
(exp (/ (- 1) (/ (- f n) (+ f n))))
140.0ms
(log (exp (/ (- 1) (/ (- f n) (+ f n)))))
43.0ms
(/ (- f n) (+ f n))
45.0ms
(/ (- 1) (/ (- f n) (+ f n)))

series420.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(exp (/ (- 1) (/ (- f n) (+ f n))))
92.0ms
(log (exp (/ (- 1) (/ (- f n) (+ f n)))))
116.0ms
(/ (- f n) (+ f n))
99.0ms
(/ (- 1) (/ (- f n) (+ f n)))

simplify954.0ms

Counts
934 → 934
Iterations

Useful iterations: done (910.0ms)

IterNodesCost
076215555
1167211971
done500011772

prune2.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes85.0ms

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
01012
11612
21712
done1712

end0.0ms

sample660.0ms

Algorithm
intervals
Results
394.0ms8000×body80valid