Details

Time bar (total: 4.6s)

sample31.0ms

Algorithm
intervals
Results
19.0ms256×body80valid

simplify8.0ms

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

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite43.0ms

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 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:
41.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series72.0ms

Counts
1 → 3
Calls
1 calls:
71.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify2.5s

Counts
38 → 38
Iterations

Useful iterations: 3 (657.0ms)

IterNodesCost
080510
1175489
2627457
33824454
done5000454

prune115.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 0.5 (pow x 2))
0.0b
(fma 0.20833333333333334 (pow x 4) 1.0)
12.2b
(- (fma 0.20833333333333334 (pow x 4) 1.0) (* 0.5 (pow x 2)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
add-exp-log add-cube-cbrt *-un-lft-identity associate-*r*
add-cbrt-cube add-log-exp
unpow-prod-down unswap-sqr
pow1 expm1-log1p-u fma-neg associate-*l* prod-diff prod-exp log1p-expm1-u
fma-udef unpow2 sqr-pow
pow-to-exp sub-neg flip3-- diff-log pow-exp associate--l+ *-commutative flip-- cbrt-unprod
Counts
3 → 60
Calls
3 calls:
19.0ms
(* 0.5 (pow x 2))
0.0ms
(fma 0.20833333333333334 (pow x 4) 1.0)
10.0ms
(- (fma 0.20833333333333334 (pow x 4) 1.0) (* 0.5 (pow x 2)))

series241.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(* 0.5 (pow x 2))
127.0ms
(fma 0.20833333333333334 (pow x 4) 1.0)
75.0ms
(- (fma 0.20833333333333334 (pow x 4) 1.0) (* 0.5 (pow x 2)))

simplify695.0ms

Counts
69 → 69
Iterations

Useful iterations: done (692.0ms)

IterNodesCost
099788
1232741
2921662
done5000637

prune248.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes56.0ms

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

sample546.0ms

Algorithm
intervals
Results
377.0ms8000×body80valid