Details

sample4.4s

Algorithm

intervals

Results

4.1s	919×	body	10240	exit
77.0ms	256×	body	80	valid

simplify3.8s

Counts: 1 → 1

prune25.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.5b

localize82.0ms

Local error

Found 4 expressions with local error:

31.1b	(sqrt (+ (* x.re x.re) (* x.im x.im)))
31.1b	(sqrt (+ (* x.re x.re) (* x.im x.im)))
23.1b	(cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))
0.3b	(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)

rewrite63.0ms

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×	`cos-sum` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 63

Calls

4 calls:

Slowest

18.0ms	(cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))
17.0ms	(sqrt (+ (* x.re x.re) (* x.im x.im)))
13.0ms	(sqrt (+ (* x.re x.re) (* x.im x.im)))
10.0ms	(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)

series442.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

204.0ms	(cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))
118.0ms	(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)
70.0ms	(sqrt (+ (* x.re x.re) (* x.im x.im)))
49.0ms	(sqrt (+ (* x.re x.re) (* x.im x.im)))

simplify1.0s

Counts: 75 → 75

prune1.3s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.7b

localize63.0ms

Local error

Found 4 expressions with local error:

31.1b	(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.im)
0.0b	(- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))

rewrite33.0ms

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` `add-log-exp`
4×	`insert-posit16`
3×	`log-pow` `sqrt-prod`
2×	`sqrt-pow1` `pow1/2` `sqrt-div` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`rem-sqrt-square` `sub-neg` `flip3-+` `flip3--` `diff-log` `flip-+` `flip--`

Counts

4 → 70

Calls

4 calls:

Slowest

11.0ms	(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)
8.0ms	(- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))
7.0ms	(sqrt (+ (* x.re x.re) (* x.im x.im)))
6.0ms	(* (atan2 x.im x.re) y.im)

series388.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

188.0ms	(- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))
129.0ms	(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)
40.0ms	(sqrt (+ (* x.re x.re) (* x.im x.im)))
31.0ms	(* (atan2 x.im x.re) y.im)

simplify1.4s

Counts: 82 → 82

prune1.5s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.3b	(* (atan2 x.im x.re) y.im)
0.2b	(* (log (- x.re)) y.re)
0.0b	(- (* (log (- x.re)) y.re) (* (atan2 x.im x.re) y.im))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`pow1`
7×	`-un-lft-identity` `add-cbrt-cube` `associate-l*` `add-exp-log` `add-cube-cbrt`
6×	`associate-r`
5×	`add-log-exp`
3×	`insert-posit16`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `log-pow` `flip--`

Counts

3 → 52

Calls

3 calls:

Slowest

23.0ms	(- (* (log (- x.re)) y.re) (* (atan2 x.im x.re) y.im))
11.0ms	(* (log (- x.re)) y.re)
6.0ms	(* (atan2 x.im x.re) y.im)

series285.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

149.0ms	(- (* (log (- x.re)) y.re) (* (atan2 x.im x.re) y.im))
105.0ms	(* (log (- x.re)) y.re)
31.0ms	(* (atan2 x.im x.re) y.im)

simplify1.8s

Counts: 61 → 61

prune806.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.3b	(* (atan2 x.im x.re) y.im)
0.1b	(* (log x.im) y.re)
0.0b	(- (* (log x.im) y.re) (* (atan2 x.im x.re) y.im))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`pow1`
7×	`-un-lft-identity` `add-cbrt-cube` `associate-l*` `add-exp-log` `add-cube-cbrt`
6×	`associate-r`
5×	`add-log-exp`
3×	`insert-posit16`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `log-pow` `flip--`

Counts

3 → 52

Calls

3 calls:

Slowest

15.0ms	(- (* (log x.im) y.re) (* (atan2 x.im x.re) y.im))
13.0ms	(* (log x.im) y.re)
9.0ms	(* (atan2 x.im x.re) y.im)

series337.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

182.0ms	(- (* (log x.im) y.re) (* (atan2 x.im x.re) y.im))
113.0ms	(* (log x.im) y.re)
42.0ms	(* (atan2 x.im x.re) y.im)

simplify2.3s

Counts: 61 → 61

prune874.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

Details

sample4.4s

simplify3.8s

prune25.0ms

localize82.0ms

rewrite63.0ms

series442.0ms

simplify1.0s

prune1.3s

localize63.0ms

rewrite33.0ms

series388.0ms

simplify1.4s

prune1.5s

localize27.0ms

rewrite42.0ms

series285.0ms

simplify1.8s

prune806.0ms

localize21.0ms

rewrite39.0ms

series337.0ms

simplify2.3s

prune874.0ms

regimes279.0ms