Details

Algorithm

intervals

Results

33.0ms	273×	body	80	nan
28.0ms	256×	body	80	valid

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.6b

Local error

Found 4 expressions with local error:

0.3b	(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0)))
0.4b	(* (atan2 im re) (log base))
0.5b	(* (log base) (log base))
32.3b	(sqrt (+ (* re re) (* im im)))

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
23×	`add-cube-cbrt`
21×	`pow1`
12×	`log-prod`
10×	`add-cbrt-cube` `add-exp-log`
9×	`times-frac`
8×	`associate-r`
7×	`associate-l` `log-pow`
6×	`distribute-rgt-in` `distribute-lft-in` `swap-sqr`
4×	`add-log-exp`
3×	`associate-/r` `sqrt-prod` `associate-/l`
2×	`flip3-+` `sqrt-div` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr` `associate-/l/`
1×	`pow2` `cbrt-undiv` `rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow-plus` `flip3--` `pow1/2` `div-sub` `div-exp` `pow-sqr` `pow-prod-up` `div-inv` `flip--`

Counts

4 → 108

Calls

4 calls:

38.0ms	(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0)))
14.0ms	(* (atan2 im re) (log base))
18.0ms	(* (log base) (log base))
6.0ms	(sqrt (+ (* re re) (* im im)))

Counts

4 → 12

Calls

4 calls:

56.0ms	(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0)))
43.0ms	(* (atan2 im re) (log base))
243.0ms	(* (log base) (log base))
48.0ms	(sqrt (+ (* re re) (* im im)))

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	194	54865