Details

Time bar (total: 1.0s)

sample133.0ms

Algorithm
intervals
Results
23.0ms256×body80valid
19.0ms278×body80nan

simplify467.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
09308
116308
219308
321308
done21308

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
0.0b
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
0.0b
(/ (- 1.0 x) (+ 1.0 x))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
64×*-un-lft-identity
45×add-sqr-sqrt
41×times-frac
26×sqrt-prod
24×add-cube-cbrt
11×distribute-lft-out
9×distribute-lft-out-- difference-of-squares
5×add-cbrt-cube add-exp-log associate-/l*
4×pow1 associate-/r* associate-/r/
3×add-log-exp
2×rem-sqrt-square flip3-+ flip-+ div-inv associate-/l/
1×cbrt-undiv clear-num frac-2neg sqrt-pow1 flip3-- pow1/2 sqrt-div div-sub div-exp flip--
Counts
3 → 91
Calls
3 calls:
1.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
29.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
37.0ms
(/ (- 1.0 x) (+ 1.0 x))

series198.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
113.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
80.0ms
(/ (- 1.0 x) (+ 1.0 x))

simplify118.0ms

Iterations

Useful iterations: 0 (15.0ms)

IterNodesCost
016231926