Details

sample53.0ms

Algorithm

intervals

Results

35.0ms

265×

body

valid

simplify111.0ms

Counts: 1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.4b

localize40.0ms

Local error

Found 2 expressions with local error:

27.4b	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))
0.6b	(- (* x.im y.re) (* x.re y.im))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`pow1` `flip3--` `associate-/r/` `insert-posit16` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `div-exp` `flip-+` `div-inv`

Counts

2 → 46

Calls

2 calls:

Slowest

35.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))
12.0ms	(- (* x.im y.re) (* x.re y.im))

series178.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

109.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))
69.0ms	(- (* x.im y.re) (* x.re y.im))

simplify1.1s

Counts: 52 → 52

prune443.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 26.9b

localize55.0ms

Local error

Found 4 expressions with local error:

32.0b	(sqrt (+ (* y.re y.re) (* y.im y.im)))
32.0b	(sqrt (+ (* y.re y.re) (* y.im y.im)))
17.4b	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
0.6b	(- (* x.im y.re) (* x.re y.im))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac` `sqrt-prod`
6×	`pow1` `associate-/r*` `add-cbrt-cube` `sqrt-div` `add-exp-log` `add-log-exp`
4×	`insert-posit16`
3×	`flip3-+` `flip-+` `associate-/l*`
2×	`rem-sqrt-square` `sqrt-pow1` `flip3--` `pow1/2` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `div-inv`

Counts

4 → 90

Calls

4 calls:

Slowest

23.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
15.0ms	(- (* x.im y.re) (* x.re y.im))
12.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
12.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

series327.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

173.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
54.0ms	(- (* x.im y.re) (* x.re y.im))
52.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
47.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

simplify1.0s

Counts: 102 → 102

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 24.0b

localize50.0ms

Local error

Found 4 expressions with local error:

32.0b	(sqrt (+ (* y.re y.re) (* y.im y.im)))
32.0b	(sqrt (+ (* y.re y.re) (* y.im y.im)))
17.5b	(* (- (* x.im y.re) (* x.re y.im)) (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))))
0.6b	(- (* x.im y.re) (* x.re y.im))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
24×	`associate-r`
22×	`*-un-lft-identity` `times-frac`
20×	`add-cube-cbrt`
17×	`sqrt-prod`
13×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`pow1`
6×	`sqrt-div` `add-log-exp`
5×	`unswap-sqr`
4×	`prod-exp` `insert-posit16`
3×	`flip3-+` `flip3--` `associate-l` `flip-+` `flip--`
2×	`frac-times` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-exp` `associate-*l/` `associate-/r/` `cbrt-unprod`
1×	`cbrt-undiv` `rec-exp` `sub-neg` `diff-log` `1-exp` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `div-inv`

Counts

4 → 99

Calls

4 calls:

Slowest

79.0ms	(* (- (* x.im y.re) (* x.re y.im)) (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))))
17.0ms	(- (* x.im y.re) (* x.re y.im))
6.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
6.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

series285.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

153.0ms	(* (- (* x.im y.re) (* x.re y.im)) (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))))
45.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
44.0ms	(- (* x.im y.re) (* x.re y.im))
42.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

simplify1.7s

Counts: 111 → 111

prune1.5s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 24.0b

localize38.0ms

Local error

Found 3 expressions with local error:

26.6b	(/ (+ (* y.re y.re) (* y.im y.im)) (- (* x.im y.re) (* x.re y.im)))
1.0b	(/ 1 (/ (+ (* y.re y.re) (* y.im y.im)) (- (* x.im y.re) (* x.re y.im))))
0.6b	(- (* x.im y.re) (* x.re y.im))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
55×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
18×	`associate-/r*`
16×	`add-exp-log`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp`
6×	`flip3--` `div-inv` `flip--` `associate-/l*`
5×	`add-log-exp`
4×	`pow1` `cbrt-undiv`
3×	`insert-posit16`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-/l/`
1×	`sub-neg` `flip3-+` `diff-log` `flip-+` `pow-flip` `inv-pow`

Counts

3 → 130

Calls

3 calls:

Slowest

29.0ms	(/ (+ (* y.re y.re) (* y.im y.im)) (- (* x.im y.re) (* x.re y.im)))
18.0ms	(/ 1 (/ (+ (* y.re y.re) (* y.im y.im)) (- (* x.im y.re) (* x.re y.im))))
8.0ms	(- (* x.im y.re) (* x.re y.im))

series321.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

190.0ms	(/ 1 (/ (+ (* y.re y.re) (* y.im y.im)) (- (* x.im y.re) (* x.re y.im))))
71.0ms	(- (* x.im y.re) (* x.re y.im))
60.0ms	(/ (+ (* y.re y.re) (* y.im y.im)) (- (* x.im y.re) (* x.re y.im)))

simplify2.3s

Counts: 139 → 139

prune1.6s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 24.0b

regimes400.0ms

Accuracy

5.2% (2.4b remaining)

Error of 25.2b against oracle of 22.8b and baseline of 25.4b

bsearch76.0ms

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.6s

8458×

body

valid