Details

sample60.0ms

Algorithm

intervals

Results

41.0ms

271×

body

valid

simplify72.0ms

Counts

1 → 1

Iterations

Iter	Nodes
6	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: 26.4b

localize19.0ms

Local error

Found 2 expressions with local error:

0.3b	(- (* x.im y.re) (* x.re y.im))
26.4b	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

rewrite58.0ms

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:

19.0ms	(- (* x.im y.re) (* x.re y.im))
37.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

series196.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(- (* x.im y.re) (* x.re y.im))
134.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

simplify943.0ms

Counts

52 → 52

Iterations

Iter	Nodes
3	2913
2	896
1	259
0	91

prune609.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 26.1b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* x.im y.re) (* x.re y.im))
17.2b	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
29.9b	(sqrt (+ (* y.re y.re) (* y.im y.im)))
29.9b	(sqrt (+ (* y.re y.re) (* y.im y.im)))

rewrite50.0ms

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:

7.0ms	(- (* x.im y.re) (* x.re y.im))
22.0ms	(/ (- (* 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)))
8.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

series288.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(- (* x.im y.re) (* x.re y.im))
124.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
67.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
55.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

simplify828.0ms

Counts

102 → 102

Iterations

Iter	Nodes
3	2511
2	896
1	314
0	124

prune1.2s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 23.9b

localize33.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* y.re x.im) (* y.im x.re))
17.2b	(/ (- (* y.re x.im) (* y.im x.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
29.9b	(sqrt (+ (* y.re y.re) (* y.im y.im)))
29.9b	(sqrt (+ (* y.re y.re) (* y.im y.im)))

rewrite52.0ms

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	(- (* y.re x.im) (* y.im x.re))
22.0ms	(/ (- (* y.re x.im) (* y.im x.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)))

series305.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- (* y.re x.im) (* y.im x.re))
161.0ms	(/ (- (* y.re x.im) (* y.im x.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
44.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
51.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

simplify733.0ms

Counts

102 → 102

Iterations

Iter	Nodes
3	2520
2	890
1	310
0	121

prune1.0s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 23.9b

localize41.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* y.re x.im) (* y.im x.re))
17.2b	(/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (- (* y.re x.im) (* y.im x.re)))
29.9b	(sqrt (+ (* y.re y.re) (* y.im y.im)))
29.9b	(sqrt (+ (* y.re y.re) (* y.im y.im)))

rewrite47.0ms

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:

7.0ms	(- (* y.re x.im) (* y.im x.re))
27.0ms	(/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (- (* y.re x.im) (* y.im x.re)))
6.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
6.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

series262.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(- (* y.re x.im) (* y.im x.re))
103.0ms	(/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (- (* y.re x.im) (* y.im x.re)))
53.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
49.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

simplify2.4s

Counts

101 → 101

Iterations

Iter	Nodes
4	4347
3	1767
2	720
1	270
0	116

prune1.4s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 23.9b

regimes479.0ms

Accuracy

0% (1.8b remaining)

Error of 25.7b against oracle of 23.9b and baseline of 25.7b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	14
1	14
0	11

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.2s

8491×

body

valid