Details

Time bar (total: 5.1s)

sample12.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify224.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0105
1125
2145
3155
4205
5405
6615
71505
810405
950025

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))))

rewrite22.0ms

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:
21.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify73.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0163311
1549289
22172288
35001288

prune77.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
360×times-frac
280×*-un-lft-identity
186×sqrt-prod
182×add-sqr-sqrt add-cube-cbrt
49×distribute-lft-out
34×associate-/r*
10×associate-/l*
9×add-exp-log add-cbrt-cube div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×flip3-+ associate-/r/ flip-+
Counts
2 → 265
Calls
2 calls:
31.0ms
(/ (sqrt 2.0) (/ (+ (exp x) (exp (- x))) (sqrt 2.0)))
39.0ms
(/ (+ (exp x) (exp (- x))) (sqrt 2.0))

series162.0ms

Counts
2 → 6
Calls
2 calls:
95.0ms
(/ (sqrt 2.0) (/ (+ (exp x) (exp (- x))) (sqrt 2.0)))
68.0ms
(/ (+ (exp x) (exp (- x))) (sqrt 2.0))

simplify106.0ms

Algorithm
egg-herbie
Counts
271 → 271
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
06444208
134003811
250033793

prune361.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite434.0ms

Algorithm
rewrite-expression-head
Rules
6282×times-frac
4372×sqrt-prod
3790×*-un-lft-identity
2624×add-sqr-sqrt add-cube-cbrt
583×distribute-lft-out
98×div-inv
96×sqrt-div
95×associate-/r/
55×associate-/l*
52×associate-/r*
48×flip3-+ flip-+
16×add-exp-log add-cbrt-cube
9×cbrt-undiv div-exp
4×sqrt-undiv
3×associate-/l/
2×pow1 frac-2neg clear-num add-log-exp
Counts
2 → 2393
Calls
2 calls:
35.0ms
(/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0))
116.0ms
(/ (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)))

series214.0ms

Counts
2 → 6
Calls
2 calls:
115.0ms
(/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0))
98.0ms
(/ (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)))

simplify777.0ms

Algorithm
egg-herbie
Counts
2399 → 2399
Iterations

Useful iterations: 1 (87.0ms)

IterNodesCost
0470374901
1500171406

prune2.2s

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
01215
11215

end0.0ms

sample284.0ms

Algorithm
intervals
Results
172.0ms8000×body80valid