Details

sample100.0ms

Algorithm

intervals

Results

43.0ms	813×	body	80	nan
28.0ms	256×	body	80	valid

simplify13.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	16
2	16
1	12
0	9

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize29.0ms

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))

rewrite92.0ms

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:

9.0ms	(sqrt (- 1.0 (* x x)))
81.0ms	(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

series216.0ms

Counts

2 → 6

Calls

2 calls:

88.0ms	(sqrt (- 1.0 (* x x)))
128.0ms	(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

simplify2.4s

Counts

39 → 39

Iterations

Iter	Nodes
done	5061
3	3952
2	931
1	292
0	119

prune223.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations

Iter	Nodes
done	10
1	10
0	9

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.7s	24094×	body	80	nan
887.0ms	8000×	body	80	valid