Details

sample44.0ms

Algorithm

intervals

Results

19.0ms

269×

body

valid

simplify66.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	70
5	70
4	66
3	48
2	36
1	19
0	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.5b

localize30.0ms

Local error

Found 2 expressions with local error:

0.5b	(- (* x.im y.re) (* x.re y.im))
23.6b	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

rewrite50.0ms

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:

11.0ms	(- (* x.im y.re) (* x.re y.im))
38.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

series160.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(- (* x.im y.re) (* x.re y.im))
116.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

simplify2.4s

Counts

52 → 52

Iterations

Iter	Nodes
done	5000
3	3031
2	896
1	260
0	91

prune305.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 23.1b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (* x.im y.re) (* x.re y.im))
15.2b	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
27.8b	(sqrt (+ (* y.re y.re) (* y.im y.im)))
27.8b	(sqrt (+ (* y.re y.re) (* y.im y.im)))

rewrite51.0ms

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:

12.0ms	(- (* x.im y.re) (* x.re y.im))
21.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
6.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
11.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

series332.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(- (* x.im y.re) (* x.re y.im))
172.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
61.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
50.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

simplify2.1s

Counts

102 → 102

Iterations

Iter	Nodes
done	5006
3	2657
2	934
1	315
0	124

prune569.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 21.6b

localize62.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (* x.im y.re) (* x.re y.im))
15.3b	(/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (- (* x.im y.re) (* x.re y.im)))
27.8b	(sqrt (+ (* y.re y.re) (* y.im y.im)))
27.8b	(sqrt (+ (* y.re y.re) (* y.im y.im)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac` `sqrt-prod`
6×	`pow1` `add-cbrt-cube` `sqrt-div` `add-exp-log` `associate-/l*` `add-log-exp`
4×	`insert-posit16`
3×	`associate-/r*` `flip3-+` `flip-+`
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-exp` `div-inv`

Counts

4 → 89

Calls

4 calls:

9.0ms	(- (* x.im y.re) (* x.re y.im))
18.0ms	(/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (- (* x.im y.re) (* x.re y.im)))
6.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
7.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

series284.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(- (* x.im y.re) (* x.re y.im))
122.0ms	(/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (- (* x.im y.re) (* x.re y.im)))
55.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
45.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

simplify1.8s

Counts

101 → 101

Iterations

Iter	Nodes
done	5001
3	2084
2	759
1	275
0	119

prune734.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 21.6b

localize51.0ms

Local error

Found 4 expressions with local error:

27.8b	(sqrt (+ (* y.re y.re) (* y.im y.im)))
28.7b	(cbrt (+ (* y.re y.re) (* y.im y.im)))
28.7b	(cbrt (+ (* y.re y.re) (* y.im y.im)))
28.7b	(cbrt (+ (* y.re y.re) (* y.im y.im)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`cbrt-div`
5×	`pow1`
4×	`flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+` `insert-posit16` `add-log-exp`
3×	`pow1/3` `sqrt-prod`
2×	`sqrt-div`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 58

Calls

4 calls:

12.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
8.0ms	(cbrt (+ (* y.re y.re) (* y.im y.im)))
7.0ms	(cbrt (+ (* y.re y.re) (* y.im y.im)))
7.0ms	(cbrt (+ (* y.re y.re) (* y.im y.im)))

series436.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
139.0ms	(cbrt (+ (* y.re y.re) (* y.im y.im)))
117.0ms	(cbrt (+ (* y.re y.re) (* y.im y.im)))
133.0ms	(cbrt (+ (* y.re y.re) (* y.im y.im)))

simplify2.8s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
4	4267
3	1058
2	331
1	144
0	67

prune571.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 21.6b

regimes554.0ms

Accuracy

0% (2.9b remaining)

Error of 26.0b against oracle of 23.1b and baseline of 26.0b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	16
1	16
0	13

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.3s

8470×

body

valid