Details

Time bar (total: 7.0s)

sample30.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
1108
2128
done128

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 1 expressions with local error:

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

rewrite37.0ms

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-cbrt-cube add-exp-log associate-/l*
associate-/r/
expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 35
Calls
1 calls:
35.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series87.0ms

Counts
1 → 3
Calls
1 calls:
86.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify2.0s

Counts
38 → 38
Iterations

Useful iterations: 3 (771.0ms)

IterNodesCost
080510
1175489
2630457
33926454
done5000454

prune155.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 2.0 (+ (exp x) (exp (- x))))
0.2b
(log (exp (/ 2.0 (+ (exp x) (exp (- x))))))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
24×times-frac
20×add-sqr-sqrt add-cube-cbrt
19×log-pow
18×exp-prod
distribute-lft-out
associate-/r* add-cbrt-cube add-exp-log associate-/r/
pow1 log-prod associate-/l*
expm1-log1p-u flip3-+ flip-+ log1p-expm1-u div-inv add-log-exp
cbrt-undiv clear-num frac-2neg div-exp rem-log-exp
Counts
2 → 67
Calls
2 calls:
21.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
51.0ms
(log (exp (/ 2.0 (+ (exp x) (exp (- x))))))

series131.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
75.0ms
(log (exp (/ 2.0 (+ (exp x) (exp (- x))))))

simplify2.4s

Counts
73 → 73
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
0127958
1231856
2701797
34006793
done5000793

prune351.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma 0.20833333333333334 (pow x 4) 1.0)
12.8b
(- (fma 0.20833333333333334 (pow x 4) 1.0) (* 0.5 (pow x 2)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity add-cube-cbrt add-log-exp
fma-neg prod-diff
expm1-log1p-u pow1 add-cbrt-cube add-exp-log fma-udef log1p-expm1-u
sub-neg flip3-- diff-log associate--l+ flip--
Counts
2 → 31
Calls
2 calls:
0.0ms
(fma 0.20833333333333334 (pow x 4) 1.0)
6.0ms
(- (fma 0.20833333333333334 (pow x 4) 1.0) (* 0.5 (pow x 2)))

series201.0ms

Counts
2 → 6
Calls
2 calls:
128.0ms
(fma 0.20833333333333334 (pow x 4) 1.0)
73.0ms
(- (fma 0.20833333333333334 (pow x 4) 1.0) (* 0.5 (pow x 2)))

simplify580.0ms

Counts
37 → 37
Iterations

Useful iterations: done (578.0ms)

IterNodesCost
054544
1137526
2645468
done5001449

prune200.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes107.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
188
done88

end0.0ms

sample595.0ms

Algorithm
intervals
Results
430.0ms8000×body80valid