Details

Time bar (total: 475.0ms)

sample58.0ms

Algorithm
intervals
Results
17.0ms60×body640valid
8.0ms238×body80nan
8.0ms38×body1280valid
6.0ms128×body80valid
3.0ms19×body320valid
1.0ms11×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: 19.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x 1.0))
0.2b
(/ 1.0 (sqrt (+ x 1.0)))
0.3b
(/ 1.0 (sqrt x))
2.9b
(- (/ 1.0 (sqrt x)) (/ 1.0 (sqrt (+ x 1.0))))

rewrite310.0ms

Algorithm
rewrite-expression-head
Rules
1035×times-frac
879×*-un-lft-identity
747×add-sqr-sqrt
714×add-cube-cbrt
594×prod-diff
566×sqrt-prod
74×distribute-lft-out
54×div-inv
48×sqrt-div
46×associate-/r/
24×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 rem-sqrt-square flip3-- sqrt-pow1 pow1/2 diff-log frac-sub flip-- hypot-def
Counts
4 → 758
Calls
4 calls:
16.0ms
(sqrt (+ x 1.0))
25.0ms
(/ 1.0 (sqrt (+ x 1.0)))
15.0ms
(/ 1.0 (sqrt x))
154.0ms
(- (/ 1.0 (sqrt x)) (/ 1.0 (sqrt (+ x 1.0))))

series74.0ms