Details

Time bar (total: 34.8s)

sample14.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify29.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
078
1108
2128
3148
4158
5218
6328
7538
81438
914508
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))))

rewrite11.0ms

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 frac-2neg flip3-+ div-exp clear-num flip-+ div-inv add-log-exp
Counts
1 → 33
Calls
1 calls:
10.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify1.3s

Counts
36 → 36
Iterations

Useful iterations: 3 (228.0ms)

IterNodesCost
078492
1167472
2503438
32067437
done5000437

prune75.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 2.0 (+ (exp x) (exp (- x))))
0.0b
(/ 2.0 (+ (exp x) (exp (- x))))
0.2b
(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))
0.2b
(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
66×*-un-lft-identity
50×times-frac
44×add-sqr-sqrt
38×add-cube-cbrt
36×sqrt-prod
14×distribute-lft-out
8×add-exp-log associate-/r* associate-/r/ add-cbrt-cube
6×pow1 associate-/l*
4×rem-sqrt-square flip3-+ flip-+ div-inv add-log-exp
2×cbrt-undiv frac-2neg sqrt-pow1 pow1/2 sqrt-div div-exp clear-num
Counts
4 → 126
Calls
4 calls:
10.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
10.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
12.0ms
(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))
11.0ms
(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))

series291.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
38.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
107.0ms
(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))
105.0ms
(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))

simplify2.6s

Counts
138 → 138
Iterations

Useful iterations: 3 (392.0ms)

IterNodesCost
01362102
12701970
28231842
338981810
done50001810

prune357.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0919
11019
done1019

end0.0ms

sample267.0ms

Algorithm
intervals
Results
178.0ms8000×body80valid