Details

sample38.0ms

Algorithm

intervals

Results

22.0ms

269×

body

valid

simplify48.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	80
5	80
4	76
3	56
2	40
1	21
0	11

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.5b

localize19.0ms

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)) (fma y.im y.im (* y.re y.re)))

rewrite24.0ms

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×	`expm1-log1p-u` `pow1` `flip3--` `insert-posit16` `log1p-expm1-u` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `div-exp` `prod-diff` `div-inv`

Counts

2 → 50

Calls

2 calls:

8.0ms	(- (* x.im y.re) (* x.re y.im))
16.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (fma y.im y.im (* y.re y.re)))

series144.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(- (* x.im y.re) (* x.re y.im))
96.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (fma y.im y.im (* y.re y.re)))

simplify2.5s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
3	2513
2	716
1	223
0	90

prune362.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 23.1b

localize29.0ms

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 (fma y.im y.im (* y.re y.re))))
27.8b	(sqrt (fma y.im y.im (* y.re y.re)))
27.8b	(sqrt (fma y.im y.im (* y.re y.re)))

rewrite32.0ms

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` `add-exp-log` `add-log-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`associate-/l*`
2×	`rem-sqrt-square` `sqrt-pow1` `flip3--` `pow1/2` `fma-udef` `hypot-def` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `div-exp` `prod-diff` `div-inv`

Counts

4 → 96

Calls

4 calls:

12.0ms	(- (* x.im y.re) (* x.re y.im))
17.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (fma y.im y.im (* y.re y.re))))
1.0ms	(sqrt (fma y.im y.im (* y.re y.re)))
2.0ms	(sqrt (fma y.im y.im (* y.re y.re)))

series354.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(- (* x.im y.re) (* x.re y.im))
162.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (fma y.im y.im (* y.re y.re))))
56.0ms	(sqrt (fma y.im y.im (* y.re y.re)))
65.0ms	(sqrt (fma y.im y.im (* y.re y.re)))

simplify1.9s

Counts

108 → 108

Iterations

Iter	Nodes
done	5001
3	2132
2	759
1	270
0	117

prune989.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 21.6b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

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` `add-exp-log` `associate-/l*` `add-log-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r*`
2×	`rem-sqrt-square` `sqrt-pow1` `flip3--` `pow1/2` `associate-/r/` `fma-udef` `hypot-def` `flip--`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-exp` `prod-diff` `div-inv`

Counts

4 → 95

Calls

4 calls:

8.0ms	(- (* x.im y.re) (* x.re y.im))
12.0ms	(/ (sqrt (fma y.im y.im (* y.re y.re))) (- (* x.im y.re) (* x.re y.im)))
1.0ms	(sqrt (fma y.im y.im (* y.re y.re)))
1.0ms	(sqrt (fma y.im y.im (* y.re y.re)))

series318.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(- (* x.im y.re) (* x.re y.im))
117.0ms	(/ (sqrt (fma y.im y.im (* y.re y.re))) (- (* x.im y.re) (* x.re y.im)))
73.0ms	(sqrt (fma y.im y.im (* y.re y.re)))
58.0ms	(sqrt (fma y.im y.im (* y.re y.re)))

simplify3.5s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
4	4940
3	1647
2	626
1	232
0	112

prune719.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 21.6b

localize52.0ms

Local error

Found 4 expressions with local error:

7.9b	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (sqrt (fma y.im y.im (* y.re y.re)))))
27.8b	(sqrt (fma y.im y.im (* y.re y.re)))
27.8b	(sqrt (fma y.im y.im (* y.re y.re)))
27.8b	(sqrt (fma y.im y.im (* y.re y.re)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

45×	`sqrt-prod`
32×	`add-sqr-sqrt`
29×	`*-un-lft-identity` `add-cube-cbrt`
27×	`times-frac`
9×	`associate-/r*`
7×	`pow1`
6×	`add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `fma-udef` `hypot-def` `associate-/l*`
2×	`associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-sub` `div-exp` `div-inv` `flip--`

Counts

4 → 108

Calls

4 calls:

43.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (sqrt (fma y.im y.im (* y.re y.re)))))
2.0ms	(sqrt (fma y.im y.im (* y.re y.re)))
3.0ms	(sqrt (fma y.im y.im (* y.re y.re)))
3.0ms	(sqrt (fma y.im y.im (* y.re y.re)))

series510.0ms

Counts

4 → 12

Calls

4 calls:

265.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (sqrt (fma y.im y.im (* y.re y.re)))))
80.0ms	(sqrt (fma y.im y.im (* y.re y.re)))
84.0ms	(sqrt (fma y.im y.im (* y.re y.re)))
80.0ms	(sqrt (fma y.im y.im (* y.re y.re)))

simplify1.9s

Counts

120 → 120

Iterations

Iter	Nodes
done	5000
3	2217
2	786
1	281
0	131

prune788.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 21.6b

regimes416.0ms

Accuracy

0% (3.0b remaining)

Error of 26.1b against oracle of 23.1b and baseline of 26.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	18
1	18
0	14

end0.0ms

sample1.0s

Algorithm

intervals

Results

786.0ms

8470×

body

valid