Details

Time bar (total: 820.0ms)

analyze1.0ms

Algorithm
search

sample17.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify138.0ms

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

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

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))))

series8.0ms

Counts
1 → 3
Calls
1 calls:
8.0ms
(/ 2.0 (+ (exp x) (exp (neg x))))

simplify70.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0164311
1550289
22149287
35002287

prune38.0ms

Filtered
27 candidates to 36 candidates (-33.3%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New35136
Fresh000
Picked101
Done000
Total36137

Merged error: 0b

Counts
37 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ -1 (exp x))
0.0b
(/ (neg 2.0) (- (/ -1 (exp x)) (exp x)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
97×add-sqr-sqrt
80×times-frac
64×*-un-lft-identity
42×add-cube-cbrt
22×difference-of-squares
21×distribute-lft-neg-in distribute-rgt-neg-in
13×associate-/l*
11×distribute-lft-out--
9×associate-/r*
7×neg-mul-1
6×add-cbrt-cube
5×add-exp-log
2×pow1 cbrt-undiv frac-2neg div-exp clear-num associate-/r/ div-inv add-log-exp
1×neg-sub0 flip3-- div-sub distribute-frac-neg flip--
Counts
2 → 119
Calls
2 calls:
4.0ms
(/ -1 (exp x))
11.0ms
(/ (neg 2.0) (- (/ -1 (exp x)) (exp x)))

series15.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(/ -1 (exp x))
11.0ms
(/ (neg 2.0) (- (/ -1 (exp x)) (exp x)))

simplify46.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
04101261
114671223
250011220

prune137.0ms

Filtered
86 candidates to 125 candidates (-45.3%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New1250125
Fresh000
Picked011
Done000
Total1251126

Merged error: 0b

Counts
126 → 1

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0106
1106

end0.0ms

analyze1.0ms

Algorithm
search

sample306.0ms

Algorithm
intervals
Results
221.0ms8000×body80valid

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