Details

sample34.0ms

Algorithm

intervals

Results

23.0ms

268×

body

valid

simplify12.0ms

Counts: 1 → 1

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.4b

localize39.0ms

Local error

Found 3 expressions with local error:

25.4b	(/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))
1.4b	(+ (* x.re y.re) (* x.im y.im))
0.0b	(+ (* y.re y.re) (* y.im y.im))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 56

Calls

3 calls:

Slowest

53.0ms	(/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))
15.0ms	(+ (* y.re y.re) (* y.im y.im))
15.0ms	(+ (* x.re y.re) (* x.im y.im))

series218.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

115.0ms	(/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))
59.0ms	(+ (* x.re y.re) (* x.im y.im))
44.0ms	(+ (* y.re y.re) (* y.im y.im))

simplify1.2s

Counts: 65 → 65

prune706.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 24.9b

localize49.0ms

Local error

Found 4 expressions with local error:

27.6b	(sqrt (+ (* y.re y.re) (* y.im y.im)))
27.6b	(sqrt (+ (* y.re y.re) (* y.im y.im)))
16.3b	(/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
1.4b	(+ (* x.re y.re) (* x.im y.im))

rewrite48.0ms

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`
5×	`flip3-+` `flip-+`
4×	`insert-posit16`
3×	`associate-/l*`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 88

Calls

4 calls:

Slowest

27.0ms	(/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
9.0ms	(+ (* x.re y.re) (* x.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)))

series275.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

136.0ms	(/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
50.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
46.0ms	(+ (* x.re y.re) (* x.im y.im))
44.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

simplify1.1s

Counts: 100 → 100

prune1.3s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 23.4b

localize57.0ms

Local error

Found 4 expressions with local error:

27.6b	(sqrt (+ (* y.re y.re) (* y.im y.im)))
27.6b	(sqrt (+ (* y.re y.re) (* y.im y.im)))
16.3b	(/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
1.4b	(+ (* x.re y.re) (* x.im y.im))

rewrite100.0ms

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`
5×	`flip3-+` `flip-+`
4×	`insert-posit16`
3×	`associate-/l*`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 88

Calls

4 calls:

Slowest

61.0ms	(/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
14.0ms	(+ (* x.re y.re) (* x.im y.im))
12.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
12.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

series244.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

129.0ms	(/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
44.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
38.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
34.0ms	(+ (* x.re y.re) (* x.im y.im))

simplify1.3s

Counts: 100 → 100

prune1.4s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 23.4b

localize71.0ms

Local error

Found 4 expressions with local error:

27.6b	(sqrt (+ (* y.re y.re) (* y.im y.im)))
27.6b	(sqrt (+ (* y.re y.re) (* y.im y.im)))
27.6b	(sqrt (+ (* y.re y.re) (* y.im y.im)))
10.5b	(/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

45×	`sqrt-prod`
32×	`add-sqr-sqrt`
29×	`*-un-lft-identity` `add-cube-cbrt`
27×	`times-frac`
10×	`sqrt-div`
9×	`associate-/r*`
7×	`pow1`
6×	`add-cbrt-cube` `add-exp-log`
5×	`flip3-+` `flip-+`
4×	`insert-posit16` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-/l*`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 104

Calls

4 calls:

Slowest

27.0ms	(/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (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)))
9.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

series387.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

231.0ms	(/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
63.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
51.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
41.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

simplify888.0ms

Counts: 116 → 116

prune1.5s

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 23.4b

regimes508.0ms

Accuracy

0% (2.8b remaining)

Error of 25.9b against oracle of 23.0b and baseline of 25.9b

bsearch3.0ms

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.0s

8469×

body

valid