Details

Time bar (total: 3.4s)

sample69.0ms

Algorithm
intervals
Results
35.0ms681×body80nan
12.0ms256×body80valid

simplify3.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize11.0ms

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))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
add-sqr-sqrt
times-frac
add-cube-cbrt
sqrt-prod distribute-lft-out add-log-exp
pow1
add-exp-log sqrt-div add-cbrt-cube div-inv
+-commutative rem-sqrt-square distribute-rgt-out flip3-- sqrt-pow1 flip3-+ pow1/2 frac-add sum-log flip-- flip-+ difference-of-squares
Counts
2 → 33
Calls
2 calls:
7.0ms
(sqrt (- 1.0 (* x x)))
56.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

series176.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(sqrt (- 1.0 (* x x)))
110.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

simplify140.0ms

Counts
39 → 39

prune120.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.7s23755×body80nan
490.0ms8000×body80valid