Details

Time bar (total: 1.4s)

sample21.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify217.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0105
1125
2145
3155
4205
5415
6665
71655
811235
950015

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
associate-/r* distribute-lft-out
add-exp-log add-cbrt-cube associate-/l*
associate-/r/
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))))

series42.0ms

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

simplify74.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0167323
1568300
22220299
35001299

prune86.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 2.0 (+ (exp x) (exp (- x))))
0.5b
(expm1 (/ 2.0 (+ (exp x) (exp (- x)))))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
12×times-frac
11×add-sqr-sqrt add-cube-cbrt
add-exp-log associate-/r* add-cbrt-cube distribute-lft-out
log1p-expm1-u associate-/l*
pow1 expm1-log1p-u associate-/r/ add-log-exp
cbrt-undiv expm1-log1p frac-2neg flip3-+ div-exp clear-num flip-+ div-inv expm1-udef
Counts
2 → 46
Calls
2 calls:
11.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
0.0ms
(expm1 (/ 2.0 (+ (exp x) (exp (- x)))))

series128.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
90.0ms
(expm1 (/ 2.0 (+ (exp x) (exp (- x)))))

simplify86.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0210434
1696398
22651396
35002396

prune138.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0107
1107

end0.0ms

sample567.0ms

Algorithm
intervals
Results
470.0ms8000×body80valid