Details

Time bar (total: 3.8s)

sample20.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify225.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0105
1125
2145
3155
4205
5415
6665
71655
811235
950015

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))))

rewrite14.0ms

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 expm1-log1p-u frac-2neg flip3-+ div-exp clear-num flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 35
Calls
1 calls:
10.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series39.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify74.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0167323
1568300
22220299
35001299

prune85.0ms

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)))))

rewrite101.0ms

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×expm1-log1p-u rem-sqrt-square associate-/r* log1p-expm1-u 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 → 209
Calls
4 calls:
10.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
59.0ms
(* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))))
11.0ms
(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))
11.0ms
(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))

series363.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
99.0ms
(* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))))
107.0ms
(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))
115.0ms
(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))

simplify74.0ms

Algorithm
egg-herbie
Counts
221 → 221
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
04362340
120612183
250012130

prune486.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

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))

rewrite109.0ms

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 expm1-log1p-u div-exp associate-/r/ log1p-expm1-u add-log-exp
2×frac-2neg sqrt-pow1 flip3-+ pow1/2 sqrt-div clear-num flip-+ associate-/l/
Counts
4 → 493
Calls
4 calls:
20.0ms
(/ (sqrt 2.0) (/ (+ (exp x) (exp (- x))) (sqrt 2.0)))
11.0ms
(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))
31.0ms
(sqrt (/ (sqrt 2.0) (/ (+ (exp x) (exp (- x))) (sqrt 2.0))))
16.0ms
(/ (+ (exp x) (exp (- x))) (sqrt 2.0))

series565.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(/ (sqrt 2.0) (/ (+ (exp x) (exp (- x))) (sqrt 2.0)))
105.0ms
(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))
286.0ms
(sqrt (/ (sqrt 2.0) (/ (+ (exp x) (exp (- x))) (sqrt 2.0))))
78.0ms
(/ (+ (exp x) (exp (- x))) (sqrt 2.0))

simplify143.0ms

Algorithm
egg-herbie
Counts
505 → 505
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
09518515
140637648
250017463

prune880.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes46.0ms

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

sample515.0ms

Algorithm
intervals
Results
426.0ms8000×body80valid