Details

Time bar (total: 6.4s)

sample22.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
1108
2128
done128

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
12×times-frac
10×add-sqr-sqrt add-cube-cbrt
associate-/r* distribute-lft-out
add-exp-log add-cbrt-cube associate-/l*
associate-/r/
pow1 cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv add-log-exp
Counts
1 → 33
Calls
1 calls:
29.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series60.0ms

Counts
1 → 3
Calls
1 calls:
60.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify2.3s

Counts
36 → 36
Iterations

Useful iterations: 3 (222.0ms)

IterNodesCost
078492
1162472
2378438
3766437
43036437
done5001437

prune109.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 0.5 (pow x 2))
0.1b
(* 0.20833333333333334 (pow x 4))
11.0b
(- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2)))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
15×associate-*r*
13×add-exp-log
add-cube-cbrt *-un-lft-identity
unpow-prod-down add-log-exp
add-cbrt-cube unswap-sqr
associate-*l* prod-exp
sqr-pow
pow1
pow-to-exp diff-log pow-exp *-commutative cbrt-unprod unpow2
sub-neg flip3-- associate--l+ sum-log flip--
Counts
3 → 66
Calls
3 calls:
12.0ms
(* 0.5 (pow x 2))
14.0ms
(* 0.20833333333333334 (pow x 4))
73.0ms
(- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2)))

series132.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(* 0.5 (pow x 2))
49.0ms
(* 0.20833333333333334 (pow x 4))
55.0ms
(- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2)))

simplify2.7s

Counts
75 → 75
Iterations

Useful iterations: done (2.7s)

IterNodesCost
0121780
1268715
2697647
33039641
done5000638

prune203.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes59.0ms

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

sample645.0ms

Algorithm
intervals
Results
460.0ms8000×body80valid