Details

Time bar (total: 4.3s)

sample11.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify211.0ms

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

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))))

rewrite11.0ms

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))))

series40.0ms

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

simplify76.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0163311
1549289
22172288
35001288

prune74.0ms

Filtered
36 candidates to 27 candidates (75.0%)
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)))))

rewrite65.0ms

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 frac-2neg clear-num add-log-exp
1×associate-/l/
Counts
2 → 285
Calls
2 calls:
36.0ms
(/ (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))
11.0ms
(/ 2.0 (sqrt (+ (exp x) (exp (- x)))))

series131.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(/ (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))
90.0ms
(/ 2.0 (sqrt (+ (exp x) (exp (- x)))))

simplify78.0ms

Algorithm
egg-herbie
Counts
291 → 291
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
07096027
125625395
250025241

prune379.0ms

Filtered
291 candidates to 115 candidates (39.5%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

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))))

rewrite158.0ms

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 div-exp add-log-exp
3×sqrt-undiv
2×frac-2neg pow1/3 clear-num
1×associate-/l/
Counts
4 → 873
Calls
4 calls:
14.0ms
(/ (sqrt 2.0) (sqrt (sqrt (+ (exp x) (exp (- x))))))
55.0ms
(/ (/ (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))))

series711.0ms

Counts
4 → 12
Calls
4 calls:
193.0ms
(/ (sqrt 2.0) (sqrt (sqrt (+ (exp x) (exp (- x))))))
240.0ms
(/ (/ (sqrt 2.0) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (sqrt (cbrt (+ (exp x) (exp (- x))))))
137.0ms
(cbrt (+ (exp x) (exp (- x))))
140.0ms
(cbrt (+ (exp x) (exp (- x))))

simplify204.0ms

Algorithm
egg-herbie
Counts
885 → 885
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
0154625073
1500124052

prune1.8s

Filtered
885 candidates to 305 candidates (34.5%)
Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes33.0ms

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

sample263.0ms

Algorithm
intervals
Results
175.0ms8000×body80valid