Details

sample62.0ms

Algorithm

intervals

Results

42.0ms

277×

body

valid

simplify94.0ms

Counts

1 → 1

Iterations

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.5b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma y.im y.im (* y.re y.re))
1.0b	(- (* x.im y.re) (* x.re y.im))
24.5b	(/ (- (* x.im y.re) (* x.re y.im)) (fma y.im y.im (* y.re y.re)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
5×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`expm1-log1p-u` `pow1` `associate-/r` `insert-posit16` `log1p-expm1-u` `associate-/l`
2×	`flip3--` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `div-exp` `prod-diff` `fma-udef` `div-inv`

Counts

3 → 61

Calls

3 calls:

0.0ms	(fma y.im y.im (* y.re y.re))
12.0ms	(- (* x.im y.re) (* x.re y.im))
20.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (fma y.im y.im (* y.re y.re)))

series198.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(fma y.im y.im (* y.re y.re))
43.0ms	(- (* x.im y.re) (* x.re y.im))
119.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (fma y.im y.im (* y.re y.re)))

simplify959.0ms

Counts

70 → 70

Iterations

Iter	Nodes
done	2002
3	2002
2	839
1	235
0	99

prune323.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 24.1b

localize41.0ms

Local error

Found 4 expressions with local error:

1.0b	(- (* x.im y.re) (* x.re y.im))
14.3b	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (fma y.im y.im (* y.re y.re))))
30.5b	(sqrt (fma y.im y.im (* y.re y.re)))
30.5b	(sqrt (fma y.im y.im (* y.re y.re)))

rewrite35.0ms

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:

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

series330.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(- (* x.im y.re) (* x.re y.im))
151.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (fma y.im y.im (* y.re y.re))))
69.0ms	(sqrt (fma y.im y.im (* y.re y.re)))
46.0ms	(sqrt (fma y.im y.im (* y.re y.re)))

simplify869.0ms

Counts

108 → 108

Iterations

Iter	Nodes
done	2006
3	2006
2	759
1	270
0	117

prune577.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 23.1b

localize31.0ms

Local error

Found 4 expressions with local error:

1.0b	(- (* x.im y.re) (* x.re y.im))
14.4b	(* (- (* x.im y.re) (* x.re y.im)) (/ 1 (sqrt (fma y.im y.im (* y.re y.re)))))
30.5b	(sqrt (fma y.im y.im (* y.re y.re)))
30.5b	(sqrt (fma y.im y.im (* y.re y.re)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
22×	`-un-lft-identity` `times-frac` `associate-r*`
20×	`add-cube-cbrt`
17×	`sqrt-prod`
13×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`pow1`
6×	`add-log-exp`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `prod-exp` `insert-posit16` `log1p-expm1-u`
3×	`flip3--` `associate-l` `flip--`
2×	`frac-times` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-exp` `associate-*l/` `cbrt-unprod` `fma-udef` `hypot-def`
1×	`cbrt-undiv` `rec-exp` `sub-neg` `fma-neg` `diff-log` `1-exp` `prod-diff` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `div-inv`

Counts

4 → 105

Calls

4 calls:

8.0ms	(- (* x.im y.re) (* x.re y.im))
28.0ms	(* (- (* x.im y.re) (* x.re y.im)) (/ 1 (sqrt (fma y.im y.im (* y.re y.re)))))
1.0ms	(sqrt (fma y.im y.im (* y.re y.re)))
1.0ms	(sqrt (fma y.im y.im (* y.re y.re)))

series275.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(- (* x.im y.re) (* x.re y.im))
129.0ms	(* (- (* x.im y.re) (* x.re y.im)) (/ 1 (sqrt (fma y.im y.im (* y.re y.re)))))
52.0ms	(sqrt (fma y.im y.im (* y.re y.re)))
48.0ms	(sqrt (fma y.im y.im (* y.re y.re)))

simplify885.0ms

Counts

117 → 117

Iterations

Iter	Nodes
done	2000
3	2000
2	893
1	339
0	142

prune659.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 23.1b

localize40.0ms

Local error

Found 4 expressions with local error:

1.0b	(- (* x.im y.re) (* x.re y.im))
14.3b	(/ (sqrt (fma y.im y.im (* y.re y.re))) (- (* x.im y.re) (* x.re y.im)))
30.5b	(sqrt (fma y.im y.im (* y.re y.re)))
30.5b	(sqrt (fma y.im y.im (* y.re y.re)))

rewrite27.0ms

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:

11.0ms	(- (* x.im y.re) (* x.re y.im))
13.0ms	(/ (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)))

series263.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(- (* x.im y.re) (* x.re y.im))
97.0ms	(/ (sqrt (fma y.im y.im (* y.re y.re))) (- (* x.im y.re) (* x.re y.im)))
53.0ms	(sqrt (fma y.im y.im (* y.re y.re)))
71.0ms	(sqrt (fma y.im y.im (* y.re y.re)))

simplify961.0ms

Counts

107 → 107

Iterations

Iter	Nodes
done	2008
4	2008
3	1647
2	626
1	232
0	112

prune580.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 23.1b

regimes403.0ms

Accuracy

0% (2.3b remaining)

Error of 25.3b against oracle of 23.0b and baseline of 25.3b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	14
1	14
0	12

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.5s

8503×

body

valid