Details

Time bar (total: 5.1s)

sample78.0ms

Algorithm
intervals
Results
38.0ms813×body80nan
14.0ms256×body80valid

simplify8.0ms

Counts
1 → 1
Iterations
IterNodes
done16
216
112
09

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
7×add-sqr-sqrt
6×times-frac
5×add-cube-cbrt
4×sqrt-prod distribute-lft-out add-log-exp
3×pow1
2×add-cbrt-cube sqrt-div add-exp-log div-inv
1×+-commutative rem-sqrt-square sum-log sqrt-pow1 flip3-+ distribute-rgt-out flip3-- pow1/2 frac-add flip-+ flip-- difference-of-squares
Counts
2 → 33
Calls
2 calls:
4.0ms
(sqrt (- 1.0 (* x x)))
66.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

series212.0ms

Counts
2 → 6
Calls
2 calls:
86.0ms
(sqrt (- 1.0 (* x x)))
126.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

simplify953.0ms

Counts
39 → 39
Iterations
IterNodes
done5000
21204
1302
0119

prune197.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Iterations
IterNodes
done10
110
09

end0.0ms

sample3.5s

Algorithm
intervals
Results
2.2s24094×body80nan
681.0ms8000×body80valid