Details

Time bar (total: 4.2s)

sample12.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
078
1108
2128
done128

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 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))))

series43.0ms

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

simplify2.1s

Counts
36 → 36
Iterations

Useful iterations: 3 (162.0ms)

IterNodesCost
078492
1164472
2368438
3859437
43095437
done5000437

prune71.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize8.0ms

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)))))

rewrite51.0ms

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:
11.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
10.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
12.0ms
(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))
14.0ms
(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))

series309.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
39.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
115.0ms
(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))
111.0ms
(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))

simplify925.0ms

Counts
138 → 138
Iterations

Useful iterations: 3 (364.0ms)

IterNodesCost
01362102
12671970
26321838
319961810
done50011810

prune373.0ms

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

sample261.0ms

Algorithm
intervals
Results
175.0ms8000×body80valid