Details

Time bar (total: 8.7s)

sample14.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
078
1108
2128
done128

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))))

rewrite12.0ms

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:
11.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series40.0ms

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

simplify2.2s

Counts
36 → 36
Iterations

Useful iterations: 3 (162.0ms)

IterNodesCost
078492
1164472
2368438
3859437
43095437
done5000437

prune79.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ (exp x) (exp (- x))))
1.0b
(cbrt 2.0)
1.0b
(cbrt 2.0)
1.0b
(cbrt 2.0)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
13×cbrt-prod
10×*-un-lft-identity
8×add-sqr-sqrt add-cube-cbrt
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
2×cbrt-div
1×flip3-+ flip-+ distribute-lft-out
Counts
4 → 47
Calls
4 calls:
5.0ms
(cbrt (+ (exp x) (exp (- x))))
0.0ms
(cbrt 2.0)
0.0ms
(cbrt 2.0)
1.0ms
(cbrt 2.0)

series132.0ms

Counts
4 → 6
Calls
4 calls:
131.0ms
(cbrt (+ (exp x) (exp (- x))))
0.0ms
(cbrt 2.0)
0.0ms
(cbrt 2.0)
0.0ms
(cbrt 2.0)

simplify2.5s

Counts
53 → 53
Iterations

Useful iterations: 3 (153.0ms)

IterNodesCost
067471
1140453
2354392
31054376
44840376
done5000376

prune160.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
62×*-un-lft-identity
52×add-sqr-sqrt times-frac
36×add-cube-cbrt
35×sqrt-prod
30×associate-*r*
13×distribute-lft-out
9×add-exp-log add-cbrt-cube
6×associate-*l* associate-/l* unswap-sqr
4×pow1 associate-/r* associate-/r/
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ div-inv add-log-exp
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 104
Calls
2 calls:
12.0ms
(/ (sqrt 2.0) (+ (exp x) (exp (- x))))
35.0ms
(* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))

series171.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(/ (sqrt 2.0) (+ (exp x) (exp (- x))))
105.0ms
(* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))

simplify2.8s

Counts
110 → 110
Iterations

Useful iterations: 3 (2.0s)

IterNodesCost
01441795
13371568
210211440
340881423
done50011423

prune203.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes49.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
188
done88

end0.0ms

sample262.0ms

Algorithm
intervals
Results
175.0ms8000×body80valid