Details

Time bar (total: 488.0ms)

sample61.0ms

Algorithm
intervals
Results
13.0ms61×body640valid
11.0ms257×body80nan
10.0ms36×body1280valid
7.0ms125×body80valid
3.0ms19×body320valid
1.0ms15×body160valid

simplify11.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11111
21411
done1411

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.9b

localize37.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ 1.0 (sqrt (+ x 1.0)))
0.3b
(/ 1.0 (sqrt x))
4.6b
(- (/ 1.0 (sqrt x)) (/ 1.0 (sqrt (+ x 1.0))))

rewrite287.0ms

Algorithm
rewrite-expression-head
Rules
1035×times-frac
875×*-un-lft-identity
742×add-sqr-sqrt
712×add-cube-cbrt
594×prod-diff
562×sqrt-prod
73×distribute-lft-out
54×div-inv
46×sqrt-div associate-/r/
23×flip3-+ flip-+
22×fma-neg
13×associate-/r*
11×distribute-lft-out--
difference-of-squares
add-exp-log add-cbrt-cube
associate-/l*
add-log-exp
pow1 expm1-log1p-u log1p-expm1-u
cbrt-undiv frac-2neg div-exp clear-num
sub-neg flip3-- diff-log frac-sub flip--
Counts
3 → 739
Calls
3 calls:
13.0ms
(/ 1.0 (sqrt (+ x 1.0)))
6.0ms
(/ 1.0 (sqrt x))
125.0ms
(- (/ 1.0 (sqrt x)) (/ 1.0 (sqrt (+ x 1.0))))

series87.0ms