Details

Algorithm

intervals

Results

Counts

1 → 1

Iterations

Useful iterations: 1 (24.0ms)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.9b

Local error

Found 2 expressions with local error:

0.3b	(sqrt (* (+ (hypot re im) re) 2.0))
0.8b	(+ (hypot re im) re)

Algorithm

rewrite-expression-head

Rules

5×	`pow1` `*-un-lft-identity`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `fma-def` `add-cube-cbrt`
2×	`expm1-log1p-u` `sqrt-pow1` `flip3-+` `add-cbrt-cube` `sqrt-div` `associate-*l/` `add-exp-log` `flip-+` `log1p-expm1-u`
1×	`+-commutative` `sum-log` `pow1/2` `pow-prod-down` `sqrt-prod` `distribute-lft-out`

Counts

2 → 32

Calls

2 calls:

6.0ms	(sqrt (* (+ (hypot re im) re) 2.0))
5.0ms	(+ (hypot re im) re)

Counts

2 → 6

Calls

2 calls:

250.0ms	(sqrt (* (+ (hypot re im) re) 2.0))
75.0ms	(+ (hypot re im) re)

Iterations

Useful iterations: 0 (14.0ms)

Iter	Nodes	Cost
0	75	8166