Details

sample54.0ms

Algorithm

intervals

Results

40.0ms

269×

body

valid

simplify55.0ms

Counts

1 → 1

Iterations

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.5b

localize23.0ms

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)))

rewrite43.0ms

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:

13.0ms	(- (* x.im y.re) (* x.re y.im))
29.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

series140.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(- (* x.im y.re) (* x.re y.im))
97.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

simplify2.1s

Counts

52 → 52

Iterations

Iter	Nodes
done	5000
3	3270
2	917
1	260
0	91

prune355.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 23.1b

localize41.0ms

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)))

rewrite84.0ms

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:

14.0ms	(- (* x.im y.re) (* x.re y.im))
43.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
12.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
13.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

series331.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(- (* x.im y.re) (* x.re y.im))
163.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
46.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
54.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

simplify2.2s

Counts

102 → 102

Iterations

Iter	Nodes
done	5001
3	2904
2	977
1	315
0	124

prune633.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 21.6b

localize54.0ms

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)))

rewrite73.0ms

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:

15.0ms	(- (* x.im y.re) (* x.re y.im))
31.0ms	(/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (- (* x.im y.re) (* x.re y.im)))
12.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
13.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

series285.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(- (* x.im y.re) (* x.re y.im))
123.0ms	(/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (- (* x.im y.re) (* x.re y.im)))
50.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
43.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

simplify1.8s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
3	2051
2	746
1	275
0	119

prune647.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 21.6b

localize56.0ms

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)))

rewrite19.0ms

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:

6.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
4.0ms	(cbrt (+ (* y.re y.re) (* y.im y.im)))
4.0ms	(cbrt (+ (* y.re y.re) (* y.im y.im)))
4.0ms	(cbrt (+ (* y.re y.re) (* y.im y.im)))

series451.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
127.0ms	(cbrt (+ (* y.re y.re) (* y.im y.im)))
120.0ms	(cbrt (+ (* y.re y.re) (* y.im y.im)))
155.0ms	(cbrt (+ (* y.re y.re) (* y.im y.im)))

simplify2.6s

Counts

70 → 70

Iterations

Iter	Nodes
done	5002
4	4419
3	1088
2	333
1	144
0	67

prune559.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 21.6b

regimes452.0ms

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

sample1.9s

Algorithm

intervals

Results

1.6s

8470×

body

valid