Details

sample36.0ms

Algorithm

intervals

Results

16.0ms

263×

body

valid

simplify28.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
1	15
0	11

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.8b

localize80.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* y.re y.re) (* y.im y.im))
0.8b	(+ (* x.re y.re) (* x.im y.im))
27.3b	(/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))

rewrite123.0ms

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:

20.0ms	(+ (* y.re y.re) (* y.im y.im))
20.0ms	(+ (* x.re y.re) (* x.im y.im))
78.0ms	(/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))

series264.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(+ (* y.re y.re) (* y.im y.im))
48.0ms	(+ (* x.re y.re) (* x.im y.im))
171.0ms	(/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))

simplify6.9s

Counts

65 → 65

Iterations

Iter	Nodes
done	5000
3	4981
2	1207
1	286
0	101

prune1.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 27.0b

localize152.0ms

Local error

Found 4 expressions with local error:

0.8b	(+ (* x.re y.re) (* x.im y.im))
18.4b	(/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
28.3b	(sqrt (+ (* y.re y.re) (* y.im y.im)))
28.3b	(sqrt (+ (* y.re y.re) (* y.im y.im)))

rewrite151.0ms

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:

23.0ms	(+ (* x.re y.re) (* x.im y.im))
90.0ms	(/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
17.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
17.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

series430.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(+ (* x.re y.re) (* x.im y.im))
245.0ms	(/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
49.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
56.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

simplify4.9s

Counts

100 → 100

Iterations

Iter	Nodes
done	5002
3	2505
2	874
1	284
0	120

prune1.7s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 24.9b

localize164.0ms

Local error

Found 4 expressions with local error:

0.8b	(+ (* y.im x.im) (* y.re x.re))
18.4b	(/ (+ (* y.im x.im) (* y.re x.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
28.3b	(sqrt (+ (* y.re y.re) (* y.im y.im)))
28.3b	(sqrt (+ (* y.re y.re) (* y.im y.im)))

rewrite198.0ms

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:

33.0ms	(+ (* y.im x.im) (* y.re x.re))
106.0ms	(/ (+ (* y.im x.im) (* y.re x.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
19.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
31.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

series433.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(+ (* y.im x.im) (* y.re x.re))
211.0ms	(/ (+ (* y.im x.im) (* y.re x.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
53.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
73.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

simplify5.2s

Counts

100 → 100

Iterations

Iter	Nodes
done	5001
3	2252
2	766
1	281
0	117

prune1.5s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 23.7b

localize165.0ms

Local error

Found 4 expressions with local error:

0.8b	(+ (* x.re y.re) (* x.im y.im))
18.4b	(/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
28.3b	(sqrt (+ (* y.re y.re) (* y.im y.im)))
28.3b	(sqrt (+ (* y.re y.re) (* y.im y.im)))

rewrite194.0ms

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:

17.0ms	(+ (* x.re y.re) (* x.im y.im))
100.0ms	(/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
35.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
38.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

series526.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(+ (* x.re y.re) (* x.im y.im))
272.0ms	(/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
84.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
81.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

simplify5.0s

Counts

100 → 100

Iterations

Iter	Nodes
done	5002
3	2505
2	874
1	284
0	120

prune1.5s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 23.7b

regimes1.2s

Accuracy

0% (4.0b remaining)

Error of 26.7b against oracle of 22.7b and baseline of 26.7b

bsearch0.0ms

simplify11.0ms

Iterations

Iter	Nodes
done	17
1	17
0	13

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.2s

8425×

body

valid