Details

Time bar (total: 7.1s)

sample122.0ms

Algorithm
intervals
Results
75.0ms759×body80nan
26.0ms256×body80valid

simplify38.0ms

Counts
1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize50.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
13×times-frac
12×add-sqr-sqrt
sqrt-prod distribute-lft-out
add-cube-cbrt
div-inv
add-log-exp
pow1 distribute-rgt-out
add-cbrt-cube sqrt-div add-exp-log insert-posit16 difference-of-squares
+-commutative rem-sqrt-square sum-log sqrt-pow1 flip3-+ flip3-- pow1/2 frac-add distribute-rgt1-in flip-+ flip--
Counts
2 → 43
Calls
2 calls:
Slowest
30.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
8.0ms
(sqrt (- 1 (* x x)))

series178.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
113.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
65.0ms
(sqrt (- 1 (* x x)))

simplify850.0ms

Counts
49 → 49

prune389.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample5.4s

Algorithm
intervals
Results
3.7s23970×body80nan
1.2s8000×body80valid