Details

Time bar (total: 3.8s)

sample20.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify217.0ms

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

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
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:
10.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series44.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify71.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0163311
1549289
22172288
35001288

prune78.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 2.0 (+ (exp x) (exp (- x))))
0.0b
(* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))))
0.2b
(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))
0.2b
(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
134×sqrt-prod
131×*-un-lft-identity
104×times-frac
103×add-sqr-sqrt
69×add-cube-cbrt
29×swap-sqr
28×distribute-lft-out
21×pow1 associate-*r* associate-*l*
14×associate-/r/
10×sqrt-pow1 pow1/2
9×unswap-sqr
8×add-exp-log add-cbrt-cube
7×flip3-+ flip-+ div-inv
6×sqrt-div
5×pow-prod-up
4×rem-sqrt-square associate-/r* add-log-exp
3×pow-prod-down pow-sqr associate-/l*
1×cbrt-undiv pow2 frac-times frac-2neg pow-plus sqrt-unprod associate-*r/ div-exp associate-*l/ prod-exp clear-num rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 201
Calls
4 calls:
10.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
60.0ms
(* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))))
11.0ms
(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))
12.0ms
(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))

series361.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
99.0ms
(* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))))
114.0ms
(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))
110.0ms
(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))

simplify80.0ms

Algorithm
egg-herbie
Counts
213 → 213
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
04232291
120062134
250022082

prune470.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (sqrt 2.0) (/ (+ (exp x) (exp (- x))) (sqrt 2.0)))
0.2b
(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))
0.2b
(sqrt (/ (sqrt 2.0) (/ (+ (exp x) (exp (- x))) (sqrt 2.0))))
0.5b
(/ (+ (exp x) (exp (- x))) (sqrt 2.0))

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
695×times-frac
538×sqrt-prod
515×*-un-lft-identity
359×add-sqr-sqrt
339×add-cube-cbrt
88×distribute-lft-out
34×associate-/r*
17×div-inv
11×add-exp-log add-cbrt-cube
10×associate-/l*
9×rem-sqrt-square
6×pow1
4×cbrt-undiv div-exp associate-/r/ add-log-exp
2×frac-2neg sqrt-pow1 flip3-+ pow1/2 sqrt-div clear-num flip-+ associate-/l/
Counts
4 → 485
Calls
4 calls:
18.0ms
(/ (sqrt 2.0) (/ (+ (exp x) (exp (- x))) (sqrt 2.0)))
15.0ms
(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))
32.0ms
(sqrt (/ (sqrt 2.0) (/ (+ (exp x) (exp (- x))) (sqrt 2.0))))
17.0ms
(/ (+ (exp x) (exp (- x))) (sqrt 2.0))

series403.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(/ (sqrt 2.0) (/ (+ (exp x) (exp (- x))) (sqrt 2.0)))
107.0ms
(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))
115.0ms
(sqrt (/ (sqrt 2.0) (/ (+ (exp x) (exp (- x))) (sqrt 2.0))))
82.0ms
(/ (+ (exp x) (exp (- x))) (sqrt 2.0))

simplify144.0ms

Algorithm
egg-herbie
Counts
497 → 497
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
09368452
140087590
250017408

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes44.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01516
11516

end0.0ms

sample524.0ms

Algorithm
intervals
Results
429.0ms8000×body80valid