Details

sample32.0ms

Algorithm

intervals

Results

21.0ms

271×

body

valid

simplify104.0ms

Counts: 1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.4b

localize38.0ms

Local error

Found 2 expressions with local error:

25.4b	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))
0.9b	(- (* x.im y.re) (* x.re y.im))

rewrite63.0ms

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

47.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))
15.0ms	(- (* x.im y.re) (* x.re y.im))

series608.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

543.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))
65.0ms	(- (* x.im y.re) (* x.re y.im))

simplify1.2s

Counts: 52 → 52

prune642.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 24.9b

localize51.0ms

Local error

Found 4 expressions with local error:

27.7b	(sqrt (+ (* y.re y.re) (* y.im y.im)))
27.7b	(sqrt (+ (* y.re y.re) (* y.im y.im)))
15.9b	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
0.9b	(- (* x.im y.re) (* x.re y.im))

rewrite75.0ms

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

42.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
13.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
12.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
8.0ms	(- (* x.im y.re) (* x.re y.im))

series348.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

169.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
69.0ms	(- (* x.im y.re) (* x.re y.im))
63.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
46.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

simplify1.1s

Counts: 102 → 102

prune1.2s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 22.7b

localize60.0ms

Local error

Found 4 expressions with local error:

27.7b	(sqrt (+ (* y.re y.re) (* y.im y.im)))
27.7b	(sqrt (+ (* y.re y.re) (* y.im y.im)))
27.7b	(sqrt (+ (* y.re y.re) (* y.im y.im)))
12.1b	(/ (* x.im y.re) (sqrt (+ (* y.re y.re) (* y.im y.im))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

15×	`sqrt-prod`
14×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cube-cbrt`
9×	`add-cbrt-cube` `add-exp-log`
8×	`sqrt-div`
7×	`pow1`
6×	`associate-/r*` `times-frac`
4×	`flip3-+` `flip-+` `insert-posit16` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
2×	`cbrt-undiv` `div-exp` `associate-/r/`
1×	`clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l*`

Counts

4 → 78

Calls

4 calls:

Slowest

21.0ms	(/ (* x.im y.re) (sqrt (+ (* y.re y.re) (* y.im y.im))))
6.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
6.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
6.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

series300.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

94.0ms	(/ (* x.im y.re) (sqrt (+ (* y.re y.re) (* y.im y.im))))
73.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
68.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
66.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

simplify808.0ms

Counts: 90 → 90

prune1.3s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 22.2b

localize62.0ms

Local error

Found 4 expressions with local error:

27.7b	(sqrt (+ (* y.re y.re) (* y.im y.im)))
27.7b	(sqrt (+ (* y.re y.re) (* y.im y.im)))
27.7b	(sqrt (+ (* y.re y.re) (* y.im y.im)))
9.2b	(/ (* x.re y.im) (sqrt (+ (* y.re y.re) (* y.im y.im))))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

15×	`sqrt-prod`
14×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cube-cbrt`
9×	`add-cbrt-cube` `add-exp-log`
8×	`sqrt-div`
7×	`pow1`
6×	`associate-/r*` `times-frac`
4×	`flip3-+` `flip-+` `insert-posit16` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
2×	`cbrt-undiv` `div-exp` `associate-/r/`
1×	`clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l*`

Counts

4 → 78

Calls

4 calls:

Slowest

15.0ms	(/ (* x.re y.im) (sqrt (+ (* y.re y.re) (* y.im y.im))))
12.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
11.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
7.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

series262.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

90.0ms	(/ (* x.re y.im) (sqrt (+ (* y.re y.re) (* y.im y.im))))
65.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
57.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
49.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

simplify857.0ms

Counts: 90 → 90

prune1.2s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 20.6b

regimes515.0ms

Accuracy

0% (0.4b remaining)

Error of 22.8b against oracle of 22.4b and baseline of 22.8b

bsearch2.0ms

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.1s

8487×

body

valid