Details

sample7.8s

Algorithm

intervals

Results

7.4s	1594×	body	10240	exit
80.0ms	256×	body	80	valid

simplify3.7s

Counts: 1 → 1

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.3b

localize79.0ms

Local error

Found 4 expressions with local error:

36.4b	(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))
27.7b	(sqrt (+ (* x.re x.re) (* x.im x.im)))
27.7b	(sqrt (+ (* x.re x.re) (* x.im x.im)))
0.3b	(* (atan2 x.im x.re) y.im)

rewrite69.0ms

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

21.0ms	(* (atan2 x.im x.re) y.im)
20.0ms	(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))
12.0ms	(sqrt (+ (* x.re x.re) (* x.im x.im)))
12.0ms	(sqrt (+ (* x.re x.re) (* x.im x.im)))

series359.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

221.0ms	(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))
58.0ms	(sqrt (+ (* x.re x.re) (* x.im x.im)))
49.0ms	(sqrt (+ (* x.re x.re) (* x.im x.im)))
31.0ms	(* (atan2 x.im x.re) y.im)

simplify1.0s

Counts: 72 → 72

prune1.3s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 10.5b

localize83.0ms

Local error

Found 4 expressions with local error:

36.4b	(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
27.7b	(sqrt (+ (* x.re x.re) (* x.im x.im)))
0.3b	(* (log (- x.re)) y.im)
0.3b	(* (atan2 x.im x.re) y.im)

rewrite68.0ms

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)))
13.0ms	(* (log (- x.re)) y.im)
12.0ms	(sqrt (+ (* x.re x.re) (* x.im x.im)))
11.0ms	(* (atan2 x.im x.re) y.im)

series343.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

179.0ms	(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))
90.0ms	(* (log (- x.re)) y.im)
57.0ms	(sqrt (+ (* x.re x.re) (* x.im x.im)))
18.0ms	(* (atan2 x.im x.re) y.im)

simplify2.3s

Counts: 76 → 76

prune1.6s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 5.6b

localize120.0ms

Local error

Found 4 expressions with local error:

36.4b	(sin (+ (* (* (cbrt (log (- x.re))) (cbrt (log (- x.re)))) (* (cbrt (log (- x.re))) y.im)) (* (atan2 x.im x.re) y.re)))
27.7b	(sqrt (+ (* x.re x.re) (* x.im x.im)))
0.5b	(* (cbrt (log (- x.re))) (cbrt (log (- x.re))))
0.5b	(cbrt (log (- x.re)))

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
23×	`add-sqr-sqrt`
19×	`pow1`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
9×	`swap-sqr`
7×	`pow1/3` `associate-r` `associate-l` `log-pow`
6×	`add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
3×	`sqrt-prod`
2×	`sqrt-div` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow-plus` `pow1/2` `sin-sum` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

4 → 84

Calls

4 calls:

Slowest

124.0ms	(sin (+ (* (* (cbrt (log (- x.re))) (cbrt (log (- x.re)))) (* (cbrt (log (- x.re))) y.im)) (* (atan2 x.im x.re) y.re)))
9.0ms	(* (cbrt (log (- x.re))) (cbrt (log (- x.re))))
6.0ms	(sqrt (+ (* x.re x.re) (* x.im x.im)))
1.0ms	(cbrt (log (- x.re)))

series1.2s

Counts

4 → 12

Calls

4 calls:

Slowest

514.0ms	(* (cbrt (log (- x.re))) (cbrt (log (- x.re))))
431.0ms	(cbrt (log (- x.re)))
178.0ms	(sin (+ (* (* (cbrt (log (- x.re))) (cbrt (log (- x.re)))) (* (cbrt (log (- x.re))) y.im)) (* (atan2 x.im x.re) y.re)))
59.0ms	(sqrt (+ (* x.re x.re) (* x.im x.im)))

simplify1.8s

Counts: 96 → 96

prune1.9s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 5.6b

localize80.0ms

Local error

Found 4 expressions with local error:

36.4b	(sin (+ (* (cbrt (* (log (- x.re)) (log (- x.re)))) (* (cbrt (log (- x.re))) y.im)) (* (atan2 x.im x.re) y.re)))
27.7b	(sqrt (+ (* x.re x.re) (* x.im x.im)))
0.6b	(* (log (- x.re)) (log (- x.re)))
0.5b	(cbrt (* (log (- x.re)) (log (- x.re))))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

20×	`log-prod`
18×	`add-sqr-sqrt` `pow1`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
10×	`distribute-rgt-in` `distribute-lft-in`
6×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `add-cbrt-cube` `swap-sqr` `add-exp-log` `log-pow`
4×	`associate-r` `associate-l` `insert-posit16` `add-log-exp`
3×	`sqrt-prod`
2×	`neg-mul-1` `sqrt-div`
1×	`cbrt-prod` `pow2` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow-plus` `pow1/2` `sin-sum` `pow1/3` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 86

Calls

4 calls:

Slowest

61.0ms	(sin (+ (* (cbrt (* (log (- x.re)) (log (- x.re)))) (* (cbrt (log (- x.re))) y.im)) (* (atan2 x.im x.re) y.re)))
8.0ms	(* (log (- x.re)) (log (- x.re)))
6.0ms	(sqrt (+ (* x.re x.re) (* x.im x.im)))
4.0ms	(cbrt (* (log (- x.re)) (log (- x.re))))

series1.0s

Counts

4 → 12

Calls

4 calls:

Slowest

501.0ms	(cbrt (* (log (- x.re)) (log (- x.re))))
291.0ms	(* (log (- x.re)) (log (- x.re)))
192.0ms	(sin (+ (* (cbrt (* (log (- x.re)) (log (- x.re)))) (* (cbrt (log (- x.re))) y.im)) (* (atan2 x.im x.re) y.re)))
44.0ms	(sqrt (+ (* x.re x.re) (* x.im x.im)))

simplify2.5s

Counts: 98 → 98

prune2.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 5.6b

Details

sample7.8s

simplify3.7s

prune24.0ms

localize79.0ms

rewrite69.0ms

series359.0ms

simplify1.0s

prune1.3s

localize83.0ms

rewrite68.0ms

series343.0ms

simplify2.3s

prune1.6s

localize120.0ms

rewrite141.0ms

series1.2s

simplify1.8s

prune1.9s

localize80.0ms

rewrite82.0ms

series1.0s

simplify2.5s

prune2.1s

regimes518.0ms