Details

Time bar (total: 2.2s)

sample13.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify216.0ms

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))))

rewrite25.0ms

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:
24.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify71.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0167323
1568300
22220299
35001299

prune80.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 2.0 (+ (exp x) (exp (- x))))
0.4b
(expm1 (/ 2.0 (+ (exp x) (exp (- x)))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
12×times-frac
11×add-sqr-sqrt add-cube-cbrt
4×add-exp-log associate-/r* add-cbrt-cube distribute-lft-out
3×log1p-expm1-u associate-/l*
2×pow1 expm1-log1p-u associate-/r/ add-log-exp
1×cbrt-undiv expm1-log1p frac-2neg flip3-+ div-exp clear-num flip-+ div-inv expm1-udef
Counts
2 → 46
Calls
2 calls:
21.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
1.0ms
(expm1 (/ 2.0 (+ (exp x) (exp (- x)))))

series130.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
88.0ms
(expm1 (/ 2.0 (+ (exp x) (exp (- x)))))

simplify84.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0210434
1696398
22651396
35002396

prune123.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (sqrt 2.0) (/ (+ (exp x) (exp (- x))) (sqrt 2.0)))
0.4b
(/ (+ (exp x) (exp (- x))) (sqrt 2.0))
0.4b
(expm1 (/ (sqrt 2.0) (/ (+ (exp x) (exp (- x))) (sqrt 2.0))))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
360×times-frac
281×*-un-lft-identity
186×sqrt-prod
183×add-sqr-sqrt add-cube-cbrt
49×distribute-lft-out
34×associate-/r*
10×add-exp-log add-cbrt-cube associate-/l*
9×div-inv
4×cbrt-undiv div-exp log1p-expm1-u
3×pow1 expm1-log1p-u add-log-exp
2×frac-2neg clear-num associate-/l/
1×expm1-log1p flip3-+ associate-/r/ flip-+ expm1-udef
Counts
3 → 280
Calls
3 calls:
33.0ms
(/ (sqrt 2.0) (/ (+ (exp x) (exp (- x))) (sqrt 2.0)))
36.0ms
(/ (+ (exp x) (exp (- x))) (sqrt 2.0))
1.0ms
(expm1 (/ (sqrt 2.0) (/ (+ (exp x) (exp (- x))) (sqrt 2.0))))

series369.0ms

Counts
3 → 9
Calls
3 calls:
96.0ms
(/ (sqrt 2.0) (/ (+ (exp x) (exp (- x))) (sqrt 2.0)))
74.0ms
(/ (+ (exp x) (exp (- x))) (sqrt 2.0))
200.0ms
(expm1 (/ (sqrt 2.0) (/ (+ (exp x) (exp (- x))) (sqrt 2.0))))

simplify109.0ms

Algorithm
egg-herbie
Counts
289 → 289
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
07234418
136623990
250013952

prune466.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes41.0ms

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
0107
1107

end0.0ms

sample287.0ms

Algorithm
intervals
Results
174.0ms8000×body80valid