Details

Time bar (total: 33.7s)

sample13.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify29.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
078
1108
2128
3148
4158
5218
6338
7578
81588
915318
done50008

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ 2.0 (+ (exp x) (exp (- x))))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
12×times-frac
10×add-sqr-sqrt add-cube-cbrt
4×associate-/r* distribute-lft-out
3×add-exp-log add-cbrt-cube associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv expm1-log1p-u frac-2neg flip3-+ div-exp clear-num flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 35
Calls
1 calls:
11.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series43.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify1.3s

Counts
38 → 38
Iterations

Useful iterations: 3 (235.0ms)

IterNodesCost
080510
1171489
2537455
32156454
done5001454

prune79.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 2.0 (+ (exp x) (exp (- x))))
0.0b
(log1p (/ 2.0 (+ (exp x) (exp (- x)))))
0.0b
(expm1 (log1p (/ 2.0 (+ (exp x) (exp (- x))))))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
12×add-sqr-sqrt add-cube-cbrt times-frac
5×add-exp-log add-cbrt-cube
4×expm1-log1p-u associate-/r* distribute-lft-out
3×pow1 log1p-expm1-u associate-/l* add-log-exp
2×associate-/r/
1×cbrt-undiv log1p-udef expm1-log1p frac-2neg flip3-+ log1p-expm1 div-exp clear-num flip-+ div-inv expm1-udef
Counts
3 → 57
Calls
3 calls:
10.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
0.0ms
(log1p (/ 2.0 (+ (exp x) (exp (- x)))))
0.0ms
(expm1 (log1p (/ 2.0 (+ (exp x) (exp (- x))))))

series355.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
132.0ms
(log1p (/ 2.0 (+ (exp x) (exp (- x)))))
185.0ms
(expm1 (log1p (/ 2.0 (+ (exp x) (exp (- x))))))

simplify2.0s

Counts
66 → 66
Iterations

Useful iterations: 3 (356.0ms)

IterNodesCost
0123873
1256818
2784744
33444743
done5000743

prune159.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0910
11010
done1010

end0.0ms

sample263.0ms

Algorithm
intervals
Results
177.0ms8000×body80valid