Details

Time bar (total: 2.0s)

sample11.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify218.0ms

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

Filtered
1 candidates to 0 candidates (0.0%)
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))))

rewrite8.0ms

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:
6.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series38.0ms

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

simplify76.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0167323
1568300
22220299
35001299

prune83.0ms

Filtered
38 candidates to 29 candidates (76.3%)
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))))
0.5b
(expm1 (/ 2.0 (+ (exp x) (exp (- x)))))

rewrite9.0ms

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:
7.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
1.0ms
(expm1 (/ 2.0 (+ (exp x) (exp (- x)))))

series132.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
94.0ms
(expm1 (/ 2.0 (+ (exp x) (exp (- x)))))

simplify83.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0210434
1696398
22651396
35002396

prune128.0ms

Filtered
52 candidates to 38 candidates (73.1%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))
0.5b
(expm1 (/ (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))))
0.5b
(/ 2.0 (sqrt (+ (exp x) (exp (- x)))))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
378×times-frac
299×*-un-lft-identity
224×sqrt-prod
187×add-sqr-sqrt add-cube-cbrt
56×distribute-lft-out
30×associate-/l*
20×sqrt-div associate-/r/
14×associate-/r*
10×add-exp-log flip3-+ add-cbrt-cube flip-+ div-inv
4×cbrt-undiv div-exp log1p-expm1-u
3×pow1 expm1-log1p-u add-log-exp
2×frac-2neg clear-num
1×expm1-log1p associate-/l/ expm1-udef
Counts
3 → 300
Calls
3 calls:
19.0ms
(/ (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))
1.0ms
(expm1 (/ (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))))
8.0ms
(/ 2.0 (sqrt (+ (exp x) (exp (- x)))))

series215.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))
90.0ms
(expm1 (/ (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))))
88.0ms
(/ 2.0 (sqrt (+ (exp x) (exp (- x)))))

simplify91.0ms

Algorithm
egg-herbie
Counts
309 → 309
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
07646240
127375558
250025449

prune504.0ms

Filtered
309 candidates to 129 candidates (41.7%)
Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes45.0ms

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

sample270.0ms

Algorithm
intervals
Results
179.0ms8000×body80valid