Details

Time bar (total: 991.0ms)

analyze1.0ms

Algorithm
search

sample13.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify130.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0105
1125
2145
3155
4205
5405
6615
71435
813575
950015

prune3.0ms

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 2 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
12×times-frac
11×add-sqr-sqrt add-cube-cbrt
5×distribute-lft-out
4×add-exp-log associate-/r* add-cbrt-cube add-log-exp
3×associate-/l*
2×pow1 flip3-+ associate-/r/ flip-+
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
2 → 45
Calls
2 calls:
6.0ms
(/ 2.0 (+ (exp x) (exp (neg x))))
4.0ms
(+ (exp x) (exp (neg x)))

series13.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(/ 2.0 (+ (exp x) (exp (neg x))))
4.0ms
(+ (exp x) (exp (neg x)))

simplify120.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 3 (116.0ms)

IterNodesCost
0192411
1634377
23020374
35001373

prune53.0ms

Filtered
39 candidates to 51 candidates (-30.8%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New50151
Fresh000
Picked101
Done000
Total51152

Merged error: 0b

Counts
52 → 1

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
24×times-frac
22×add-sqr-sqrt add-cube-cbrt
10×distribute-lft-out
8×add-exp-log associate-/r* add-cbrt-cube add-log-exp
6×associate-/l*
4×pow1 flip3-+ associate-/r/ flip-+
2×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
4 → 90
Calls
4 calls:
8.0ms
(/ 2.0 (+ (exp x) (exp (neg x))))
6.0ms
(/ 2.0 (+ (exp x) (exp (neg x))))
4.0ms
(+ (exp x) (exp (neg x)))
4.0ms
(+ (exp x) (exp (neg x)))

series23.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(/ 2.0 (+ (exp x) (exp (neg x))))
8.0ms
(/ 2.0 (+ (exp x) (exp (neg x))))
3.0ms
(+ (exp x) (exp (neg x)))
4.0ms
(+ (exp x) (exp (neg x)))

simplify123.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 3 (114.0ms)

IterNodesCost
0192822
1634754
23020748
35001746

prune137.0ms

Filtered
78 candidates to 102 candidates (-30.8%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New1020102
Fresh000
Picked011
Done000
Total1021103

Merged error: 0b

Counts
103 → 1

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01013
11013

end0.0ms

analyze1.0ms

Algorithm
search

sample322.0ms

Algorithm
intervals
Results
230.0ms8000×body80valid

Profiling

Loading profile data...