Details

Time bar (total: 1.1s)

sample14.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify135.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0105
1125
2145
3155
4205
5405
6615
71435
813575
950015

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ 2.0 (+ (exp x) (exp (neg x))))

rewrite7.0ms

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:
6.0ms
(/ 2.0 (+ (exp x) (exp (neg x))))

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(/ 2.0 (+ (exp x) (exp (neg x))))

simplify71.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0164311
1550289
22149287
35002287

prune57.0ms

Filtered
36 candidates to 27 candidates (75.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New35136
Fresh000
Picked101
Done000
Total36137

Merged error: 0b

Counts
37 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(cbrt (pow (/ 2.0 (+ (exp (neg x)) (exp x))) 3))
0.0b
(pow (/ 2.0 (+ (exp (neg x)) (exp x))) 3)
0.0b
(/ 2.0 (+ (exp (neg x)) (exp x)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
78×*-un-lft-identity
60×times-frac
46×add-sqr-sqrt add-cube-cbrt
42×cbrt-prod
36×unpow-prod-down cube-prod
16×distribute-lft-out
10×associate-/r/
8×add-exp-log add-cbrt-cube
5×flip3-+ flip-+ div-inv
4×pow1 associate-/r*
3×pow-unpow associate-/l* add-log-exp
2×cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp rem-cube-cbrt sqr-pow
1×pow-to-exp cbrt-div pow-pow frac-2neg pow1/3 clear-num rem-cbrt-cube
Counts
3 → 141
Calls
3 calls:
9.0ms
(cbrt (pow (/ 2.0 (+ (exp (neg x)) (exp x))) 3))
9.0ms
(pow (/ 2.0 (+ (exp (neg x)) (exp x))) 3)
7.0ms
(/ 2.0 (+ (exp (neg x)) (exp x)))

series150.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(cbrt (pow (/ 2.0 (+ (exp (neg x)) (exp x))) 3))
77.0ms
(pow (/ 2.0 (+ (exp (neg x)) (exp x))) 3)
37.0ms
(/ 2.0 (+ (exp (neg x)) (exp x)))

simplify67.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
04591530
120351418
250031402

prune188.0ms

Filtered
150 candidates to 72 candidates (48.0%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New1500150
Fresh000
Picked011
Done000
Total1501151

Merged error: 0b

Counts
151 → 1

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0117
1117

end0.0ms

sample327.0ms

Algorithm
intervals
Results
239.0ms8000×body80valid

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