Details

Time bar (total: 580.0ms)

sample282.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
7.0ms232×body80nan

simplify17.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0911
11611
21911
32111
done2111

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

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-exp-log add-cbrt-cube 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 flip3-- frac-2neg sqrt-pow1 pow1/2 sqrt-div div-sub div-exp clear-num flip--
Counts
3 → 91
Calls
3 calls:
0.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
10.0ms
(/ (- 1.0 x) (+ 1.0 x))
12.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))

series149.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
33.0ms
(/ (- 1.0 x) (+ 1.0 x))
113.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))

simplify91.0ms

Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
01671451
13581376