Details

Time bar (total: 6.9s)

sample158.0ms

Algorithm
intervals
Results
91.0ms713×body80nan
43.0ms256×body80valid

simplify24.0ms

Counts
1 → 1

prune27.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize38.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (- 1 (* x x)))
0.0b
(- 1 (* x x))
0.0b
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
14×add-sqr-sqrt
13×times-frac
add-cube-cbrt sqrt-prod distribute-lft-out
add-log-exp
div-inv
pow1 difference-of-squares
distribute-rgt-out add-cbrt-cube add-exp-log insert-posit16
flip3-- sqrt-div flip--
+-commutative rem-sqrt-square sum-log sub-neg sqrt-pow1 flip3-+ pow1/2 diff-log frac-add distribute-rgt1-in flip-+
Counts
3 → 58
Calls
3 calls:
Slowest
30.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
9.0ms
(sqrt (- 1 (* x x)))
9.0ms
(- 1 (* x x))

series239.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
90.0ms
(sqrt (- 1 (* x x)))
88.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
62.0ms
(- 1 (* x x))

simplify365.0ms

Counts
78 → 67

prune571.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample5.4s

Algorithm
intervals
Results
3.7s23892×body80nan
1.1s8000×body80valid