Details

Time bar (total: 4.4s)

sample11.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify4.0ms

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

localize9.0ms

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))))

series38.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify2.3s

Counts
38 → 38
Iterations

Useful iterations: 3 (165.0ms)

IterNodesCost
080510
1168489
2387455
3925454
43351454
done5001454

prune80.0ms

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)))))

rewrite50.0ms

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×expm1-log1p-u rem-sqrt-square flip3-+ flip-+ log1p-expm1-u div-inv add-log-exp
2×cbrt-undiv frac-2neg sqrt-pow1 pow1/2 sqrt-div div-exp clear-num
Counts
4 → 134
Calls
4 calls:
11.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
10.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
11.0ms
(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))
12.0ms
(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))

series287.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
40.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
104.0ms
(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))
105.0ms
(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))

simplify958.0ms

Counts
146 → 146
Iterations

Useful iterations: 3 (387.0ms)

IterNodesCost
01402178
12772040
26691908
321021878
done50001878

prune381.0ms

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

sample259.0ms

Algorithm
intervals
Results
173.0ms8000×body80valid