Details

Time bar (total: 17.0s)

sample103.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify59.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
068
1138
2168
3208
4268
5298
6318
done318

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite66.0ms

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:
55.0ms
(/ (- (+ f n)) (- f n))

series154.0ms

Counts
1 → 3
Calls
1 calls:
154.0ms
(/ (- (+ f n)) (- f n))

simplify2.8s

Counts
100 → 100
Iterations

Useful iterations: 3 (682.0ms)

IterNodesCost
01351469
12921395
27021365
319071357
done50001357

prune244.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize11.0ms

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)))

rewrite68.0ms

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×add-exp-log associate-/r* add-cbrt-cube
4×log1p-expm1-u
3×pow1 expm1-log1p-u add-log-exp
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 clear-num flip-- flip-+ div-inv expm1-udef
Counts
3 → 119
Calls
3 calls:
1.0ms
(log1p (expm1 (/ (- (+ f n)) (- f n))))
58.0ms
(/ (- (+ f n)) (- f n))
1.0ms
(expm1 (/ (- (+ f n)) (- f n)))

series441.0ms

Counts
3 → 9
Calls
3 calls:
156.0ms
(log1p (expm1 (/ (- (+ f n)) (- f n))))
112.0ms
(/ (- (+ f n)) (- f n))
172.0ms
(expm1 (/ (- (+ f n)) (- f n)))

simplify2.9s

Counts
128 → 128
Iterations

Useful iterations: 3 (594.0ms)

IterNodesCost
01581755
13211651
27391587
319501579
done50001579

prune361.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite240.0ms

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:
87.0ms
(log (exp (/ (- (+ f n)) (- f n))))
85.0ms
(exp (/ (- (+ f n)) (- f n)))
39.0ms
(/ (- (+ f n)) (- f n))

series324.0ms

Counts
3 → 9
Calls
3 calls:
98.0ms
(log (exp (/ (- (+ f n)) (- f n))))
135.0ms
(exp (/ (- (+ f n)) (- f n)))
91.0ms
(/ (- (+ f n)) (- f n))

simplify2.3s

Counts
267 → 267
Iterations

Useful iterations: 3 (835.0ms)

IterNodesCost
02473296
14122917
28792845
322802823
done50012823

prune664.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
157×*-un-lft-identity
120×times-frac
113×add-sqr-sqrt
66×exp-prod
63×add-cube-cbrt
44×distribute-lft-neg-in distribute-rgt-neg-in
25×distribute-lft-out-- difference-of-squares
22×distribute-lft-out
12×associate-/l*
11×neg-mul-1
6×add-exp-log add-cbrt-cube
5×expm1-log1p-u associate-/r* add-log-exp
4×pow1 associate-/r/ log1p-expm1-u
2×neg-sub0 flip3-- div-sub distribute-frac-neg flip-- div-inv associate-/l/ distribute-neg-frac
1×cbrt-undiv exp-neg log1p-udef expm1-log1p frac-2neg flip3-+ exp-diff log1p-expm1 div-exp clear-num flip-+ rem-exp-log expm1-udef
Counts
4 → 197
Calls
4 calls:
58.0ms
(exp (/ (- (+ f n)) (- f n)))
63.0ms
(/ (- (+ f n)) (- f n))
0.0ms
(log1p (exp (/ (- (+ f n)) (- f n))))
0.0ms
(expm1 (log1p (exp (/ (- (+ f n)) (- f n)))))

series1.3s

Counts
4 → 12
Calls
4 calls:
141.0ms
(exp (/ (- (+ f n)) (- f n)))
88.0ms
(/ (- (+ f n)) (- f n))
753.0ms
(log1p (exp (/ (- (+ f n)) (- f n))))
285.0ms
(expm1 (log1p (exp (/ (- (+ f n)) (- f n)))))

simplify3.1s

Counts
209 → 209
Iterations

Useful iterations: 3 (719.0ms)

IterNodesCost
02132616
13812440
28472350
321482335
done50012335

prune913.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes91.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01012
11612
21712
done1712

end0.0ms

sample638.0ms

Algorithm
intervals
Results
378.0ms8000×body80valid