Details

Time bar (total: 4.4s)

sample11.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify210.0ms

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))))

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:
13.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series38.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify71.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0167323
1568300
22220299
35001299

prune84.0ms

Filtered
38 candidates to 29 candidates (76.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
378×times-frac
298×*-un-lft-identity
224×sqrt-prod
186×add-sqr-sqrt add-cube-cbrt
56×distribute-lft-out
30×associate-/l*
20×sqrt-div associate-/r/
14×associate-/r*
10×flip3-+ flip-+ div-inv
9×add-exp-log add-cbrt-cube
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 289
Calls
2 calls:
38.0ms
(/ (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))
12.0ms
(/ 2.0 (sqrt (+ (exp x) (exp (- x)))))

series125.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))
86.0ms
(/ 2.0 (sqrt (+ (exp x) (exp (- x)))))

simplify86.0ms

Algorithm
egg-herbie
Counts
295 → 295
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
07196066
125995423
250025269

prune402.0ms

Filtered
295 candidates to 119 candidates (40.3%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ (sqrt 2.0) (sqrt (sqrt (+ (exp x) (exp (- x))))))
0.5b
(/ (/ (sqrt 2.0) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (sqrt (cbrt (+ (exp x) (exp (- x))))))
0.5b
(cbrt (+ (exp x) (exp (- x))))
0.5b
(cbrt (+ (exp x) (exp (- x))))

rewrite167.0ms

Algorithm
rewrite-expression-head
Rules
1635×sqrt-prod
1380×times-frac
963×*-un-lft-identity
679×add-sqr-sqrt add-cube-cbrt
276×cbrt-prod
142×distribute-lft-out
72×associate-/l*
50×sqrt-div
26×associate-/r/
20×associate-/r*
15×flip3-+ flip-+
13×div-inv
11×add-exp-log add-cbrt-cube
6×cbrt-div
4×pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
3×sqrt-undiv
2×frac-2neg pow1/3 clear-num
1×associate-/l/
Counts
4 → 881
Calls
4 calls:
15.0ms
(/ (sqrt 2.0) (sqrt (sqrt (+ (exp x) (exp (- x))))))
57.0ms
(/ (/ (sqrt 2.0) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (sqrt (cbrt (+ (exp x) (exp (- x))))))
5.0ms
(cbrt (+ (exp x) (exp (- x))))
5.0ms
(cbrt (+ (exp x) (exp (- x))))

series669.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(/ (sqrt 2.0) (sqrt (sqrt (+ (exp x) (exp (- x))))))
239.0ms
(/ (/ (sqrt 2.0) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (sqrt (cbrt (+ (exp x) (exp (- x))))))
120.0ms
(cbrt (+ (exp x) (exp (- x))))
131.0ms
(cbrt (+ (exp x) (exp (- x))))

simplify199.0ms

Algorithm
egg-herbie
Counts
893 → 893
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
0155825147
1500124122

prune1.9s

Filtered
893 candidates to 313 candidates (35.1%)
Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes30.0ms

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
02031
12031

end0.0ms

sample270.0ms

Algorithm
intervals
Results
180.0ms8000×body80valid