Details

sample6.6s

Algorithm

intervals

Results

6.4s	1433×	body	10240	exit
74.0ms	256×	body	80	valid

simplify3.6s

Counts: 1 → 1

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.9b

localize75.0ms

Local error

Found 4 expressions with local error:

36.6b	(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))
29.2b	(sqrt (+ (* x.re x.re) (* x.im x.im)))
29.2b	(sqrt (+ (* x.re x.re) (* x.im x.im)))
0.3b	(* (atan2 x.im x.re) y.im)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 60

Calls

4 calls:

Slowest

17.0ms	(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))
6.0ms	(sqrt (+ (* x.re x.re) (* x.im x.im)))
6.0ms	(sqrt (+ (* x.re x.re) (* x.im x.im)))
5.0ms	(* (atan2 x.im x.re) y.im)

series347.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

238.0ms	(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))
48.0ms	(sqrt (+ (* x.re x.re) (* x.im x.im)))
42.0ms	(sqrt (+ (* x.re x.re) (* x.im x.im)))
19.0ms	(* (atan2 x.im x.re) y.im)

simplify1.2s

Counts: 72 → 72

prune1.5s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 9.0b

localize76.0ms

Local error

Found 4 expressions with local error:

36.6b	(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
29.2b	(sqrt (+ (* x.re x.re) (* x.im x.im)))
0.3b	(* (atan2 x.im x.re) y.im)
0.3b	(* (log (- x.re)) y.im)

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

Slowest

30.0ms	(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
12.0ms	(sqrt (+ (* x.re x.re) (* x.im x.im)))
11.0ms	(* (atan2 x.im x.re) y.im)
10.0ms	(* (log (- x.re)) y.im)

series337.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

179.0ms	(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
86.0ms	(* (log (- x.re)) y.im)
54.0ms	(sqrt (+ (* x.re x.re) (* x.im x.im)))
18.0ms	(* (atan2 x.im x.re) y.im)

simplify1.9s

Counts: 76 → 76

prune1.6s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 4.4b

localize41.0ms

Local error

Found 4 expressions with local error:

36.6b	(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
0.3b	(* (atan2 x.im x.re) y.im)
0.3b	(* (log (- x.re)) y.im)
0.2b	(* (log (- x.re)) y.re)

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
12×	`pow1`
11×	`associate-l`
10×	`*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
9×	`associate-r`
4×	`insert-posit16` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`log-pow`
1×	`sin-sum`

Counts

4 → 68

Calls

4 calls:

Slowest

22.0ms	(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
11.0ms	(* (atan2 x.im x.re) y.im)
7.0ms	(* (log (- x.re)) y.re)
7.0ms	(* (log (- x.re)) y.im)

series435.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

194.0ms	(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
117.0ms	(* (log (- x.re)) y.im)
95.0ms	(* (log (- x.re)) y.re)
29.0ms	(* (atan2 x.im x.re) y.im)

simplify2.3s

Counts: 80 → 80

prune1.3s

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 4.4b

localize74.0ms

Local error

Found 4 expressions with local error:

36.6b	(sin (+ (* (* (log (- x.re)) (* (cbrt y.im) (cbrt y.im))) (cbrt y.im)) (* (atan2 x.im x.re) y.re)))
0.6b	(cbrt y.im)
0.6b	(cbrt y.im)
0.6b	(cbrt y.im)

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`pow1/3`
1×	`sin-sum`

Counts

4 → 45

Calls

4 calls:

Slowest

158.0ms	(sin (+ (* (* (log (- x.re)) (* (cbrt y.im) (cbrt y.im))) (cbrt y.im)) (* (atan2 x.im x.re) y.re)))
1.0ms	(cbrt y.im)
1.0ms	(cbrt y.im)
1.0ms	(cbrt y.im)

series1.1s

Counts

4 → 12

Calls

4 calls:

Slowest

293.0ms	(cbrt y.im)
283.0ms	(cbrt y.im)
267.0ms	(cbrt y.im)
230.0ms	(sin (+ (* (* (log (- x.re)) (* (cbrt y.im) (cbrt y.im))) (cbrt y.im)) (* (atan2 x.im x.re) y.re)))

simplify1.7s

Counts: 57 → 57

prune1.1s

Pruning

16 alts after pruning (13 fresh and 3 done)

Merged error: 4.4b

Details

sample6.6s

simplify3.6s

prune23.0ms

localize75.0ms

rewrite42.0ms

series347.0ms

simplify1.2s

prune1.5s

localize76.0ms

rewrite63.0ms

series337.0ms

simplify1.9s

prune1.6s

localize41.0ms

rewrite49.0ms

series435.0ms

simplify2.3s

prune1.3s

localize74.0ms

rewrite164.0ms

series1.1s

simplify1.7s

prune1.1s

regimes1.3s