Details

sample7.4s

Algorithm

intervals

Results

7.1s	1420×	body	10240	exit
120.0ms	256×	body	80	valid

simplify3.6s

Counts: 1 → 1

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.4b

localize94.0ms

Local error

Found 4 expressions with local error:

37.0b	(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))
28.8b	(sqrt (+ (* x.re x.re) (* x.im x.im)))
28.8b	(sqrt (+ (* x.re x.re) (* x.im x.im)))
0.3b	(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`pow1`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`add-cbrt-cube` `associate-l` `add-exp-log` `sqrt-prod`
4×	`sqrt-div` `insert-posit16` `add-log-exp`
3×	`sqrt-pow1` `pow1/2` `associate-r` `log-pow`
2×	`rem-sqrt-square` `flip3-+` `flip-+`
1×	`sin-sum` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 63

Calls

4 calls:

Slowest

21.0ms	(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))
15.0ms	(sqrt (+ (* x.re x.re) (* x.im x.im)))
10.0ms	(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)
7.0ms	(sqrt (+ (* x.re x.re) (* x.im x.im)))

series511.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

227.0ms	(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))
156.0ms	(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)
65.0ms	(sqrt (+ (* x.re x.re) (* x.im x.im)))
64.0ms	(sqrt (+ (* x.re x.re) (* x.im x.im)))

simplify1.1s

Counts: 75 → 75

prune1.4s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 12.0b

localize88.0ms

Local error

Found 4 expressions with local error:

37.1b	(sin (- (* (atan2 x.im x.re) y.re) (* y.im (log (/ -1 x.re)))))
28.8b	(sqrt (+ (* x.re x.re) (* x.im x.im)))
0.3b	(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)
0.3b	(* (atan2 x.im x.re) y.re)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
11×	`pow1`
9×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
8×	`add-cbrt-cube` `add-exp-log`
6×	`associate-r`
4×	`insert-posit16` `add-log-exp`
3×	`log-pow` `sqrt-prod`
2×	`sqrt-pow1` `pow1/2` `sin-sum` `sqrt-div` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`rem-sqrt-square` `sub-neg` `flip3-+` `sin-diff` `flip-+`

Counts

4 → 68

Calls

4 calls:

Slowest

30.0ms	(sin (- (* (atan2 x.im x.re) y.re) (* y.im (log (/ -1 x.re)))))
10.0ms	(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)
6.0ms	(sqrt (+ (* x.re x.re) (* x.im x.im)))
6.0ms	(* (atan2 x.im x.re) y.re)

series348.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

150.0ms	(sin (- (* (atan2 x.im x.re) y.re) (* y.im (log (/ -1 x.re)))))
132.0ms	(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)
42.0ms	(sqrt (+ (* x.re x.re) (* x.im x.im)))
24.0ms	(* (atan2 x.im x.re) y.re)

simplify1.3s

Counts: 80 → 80

prune1.6s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 5.9b

localize108.0ms

Local error

Found 4 expressions with local error:

60.9b	(posit16->real (real->posit16 (* (atan2 x.im x.re) y.re)))
37.1b	(sin (- (posit16->real (real->posit16 (* (atan2 x.im x.re) y.re))) (* y.im (log (/ -1 x.re)))))
28.8b	(sqrt (+ (* x.re x.re) (* x.im x.im)))
0.3b	(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
9×	`pow1`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`add-cbrt-cube` `associate-l` `add-exp-log`
4×	`insert-posit16` `add-log-exp`
3×	`associate-r` `log-pow` `sqrt-prod`
2×	`sqrt-pow1` `pow1/2` `sin-sum` `sqrt-div`
1×	`rem-sqrt-square` `sub-neg` `flip3-+` `pow-prod-down` `prod-exp` `sin-diff` `*-commutative` `cbrt-unprod` `flip-+` `remove-posit16` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

Slowest

15.0ms	(sin (- (posit16->real (real->posit16 (* (atan2 x.im x.re) y.re))) (* y.im (log (/ -1 x.re)))))
10.0ms	(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)
8.0ms	(sqrt (+ (* x.re x.re) (* x.im x.im)))
1.0ms	(posit16->real (real->posit16 (* (atan2 x.im x.re) y.re)))

series356.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

163.0ms	(sin (- (posit16->real (real->posit16 (* (atan2 x.im x.re) y.re))) (* y.im (log (/ -1 x.re)))))
126.0ms	(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)
48.0ms	(sqrt (+ (* x.re x.re) (* x.im x.im)))
19.0ms	(posit16->real (real->posit16 (* (atan2 x.im x.re) y.re)))

simplify1.1s

Counts: 70 → 70

prune2.0s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 5.8b

localize87.0ms

Local error

Found 4 expressions with local error:

37.1b	(sin (- (* (atan2 x.im x.re) y.re) (* y.im (log (/ -1 x.re)))))
0.3b	(* y.re (log (/ -1 x.re)))
0.3b	(* (atan2 x.im x.re) y.re)
0.2b	(* y.im (log (/ -1 x.re)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

52×	`log-prod`
44×	`add-sqr-sqrt`
38×	`*-un-lft-identity` `add-cube-cbrt`
36×	`times-frac`
26×	`distribute-rgt-in` `distribute-lft-in`
12×	`pow1`
11×	`associate-r`
10×	`add-cbrt-cube` `add-exp-log`
9×	`associate-l`
4×	`insert-posit16` `div-inv` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`sin-sum` `log-pow`
1×	`sub-neg` `sin-diff`

Counts

4 → 122

Calls

4 calls:

Slowest

22.0ms	(sin (- (* (atan2 x.im x.re) y.re) (* y.im (log (/ -1 x.re)))))
16.0ms	(* y.im (log (/ -1 x.re)))
9.0ms	(* y.re (log (/ -1 x.re)))
6.0ms	(* (atan2 x.im x.re) y.re)

series313.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

166.0ms	(sin (- (* (atan2 x.im x.re) y.re) (* y.im (log (/ -1 x.re)))))
71.0ms	(* y.im (log (/ -1 x.re)))
58.0ms	(* y.re (log (/ -1 x.re)))
18.0ms	(* (atan2 x.im x.re) y.re)

simplify1.2s

Counts: 134 → 134

prune2.7s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 5.8b

Details

sample7.4s

simplify3.6s

prune22.0ms

localize94.0ms

rewrite56.0ms

series511.0ms

simplify1.1s

prune1.4s

localize88.0ms

rewrite53.0ms

series348.0ms

simplify1.3s

prune1.6s

localize108.0ms

rewrite34.0ms

series356.0ms

simplify1.1s

prune2.0s

localize87.0ms

rewrite57.0ms

series313.0ms

simplify1.2s

prune2.7s

regimes769.0ms