Details

sample60.0ms

Algorithm

intervals

Results

40.0ms

272×

body

valid

simplify28.0ms

Counts: 1 → 1

prune31.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.0b

localize17.0ms

Local error

Found 2 expressions with local error:

25.0b	(/ (fma x.re y.re (* x.im y.im)) (fma y.im y.im (* y.re y.re)))
0.3b	(fma x.re y.re (* x.im y.im))

rewrite5.0ms

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`
3×	`associate-/r` `associate-/l`
2×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `fma-udef` `div-inv`

Counts

2 → 41

Calls

2 calls:

Slowest

4.0ms	(/ (fma x.re y.re (* x.im y.im)) (fma y.im y.im (* y.re y.re)))
0.0ms	(fma x.re y.re (* x.im y.im))

series204.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

140.0ms	(/ (fma x.re y.re (* x.im y.im)) (fma y.im y.im (* y.re y.re)))
64.0ms	(fma x.re y.re (* x.im y.im))

simplify1.1s

Counts: 47 → 47

prune608.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 24.5b

localize27.0ms

Local error

Found 4 expressions with local error:

27.7b	(sqrt (fma y.im y.im (* y.re y.re)))
27.7b	(sqrt (fma y.im y.im (* y.re y.re)))
15.5b	(/ (fma x.re y.re (* x.im y.im)) (sqrt (fma y.im y.im (* y.re y.re))))
0.3b	(fma x.re y.re (* x.im y.im))

rewrite9.0ms

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

Counts

4 → 87

Calls

4 calls:

Slowest

5.0ms	(/ (fma x.re y.re (* x.im y.im)) (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)))
0.0ms	(fma x.re y.re (* x.im y.im))

series387.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

185.0ms	(/ (fma x.re y.re (* x.im y.im)) (sqrt (fma y.im y.im (* y.re y.re))))
77.0ms	(fma x.re y.re (* x.im y.im))
70.0ms	(sqrt (fma y.im y.im (* y.re y.re)))
56.0ms	(sqrt (fma y.im y.im (* y.re y.re)))

simplify1.4s

Counts: 99 → 99

prune1.3s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 22.7b

localize32.0ms

Local error

Found 4 expressions with local error:

27.7b	(sqrt (fma y.im y.im (* y.re y.re)))
15.5b	(/ (fma x.re y.re (* x.im y.im)) (hypot y.im y.re))
0.3b	(fma x.re y.re (* x.im y.im))
0.1b	(/ (/ (fma x.re y.re (* x.im y.im)) (hypot y.im y.re)) (sqrt (fma y.im y.im (* y.re y.re))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

150×	`times-frac`
91×	`add-sqr-sqrt`
90×	`*-un-lft-identity` `add-cube-cbrt`
45×	`sqrt-prod`
16×	`associate-/l*`
11×	`add-cbrt-cube` `add-exp-log`
9×	`associate-/r*` `div-inv`
5×	`pow1`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `fma-udef`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `hypot-def` `associate-/l/`

Counts

4 → 173

Calls

4 calls:

Slowest

14.0ms	(/ (/ (fma x.re y.re (* x.im y.im)) (hypot y.im y.re)) (sqrt (fma y.im y.im (* y.re y.re))))
4.0ms	(/ (fma x.re y.re (* x.im y.im)) (hypot y.im y.re))
1.0ms	(sqrt (fma y.im y.im (* y.re y.re)))
0.0ms	(fma x.re y.re (* x.im y.im))

series509.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

219.0ms	(/ (/ (fma x.re y.re (* x.im y.im)) (hypot y.im y.re)) (sqrt (fma y.im y.im (* y.re y.re))))
159.0ms	(/ (fma x.re y.re (* x.im y.im)) (hypot y.im y.re))
67.0ms	(sqrt (fma y.im y.im (* y.re y.re)))
63.0ms	(fma x.re y.re (* x.im y.im))

simplify1.5s

Counts: 185 → 185

prune2.6s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 13.8b

localize38.0ms

Local error

Found 4 expressions with local error:

15.5b	(/ (fma x.re y.re (* x.im y.im)) (hypot y.im y.re))
0.3b	(fma x.re y.re (* x.im y.im))
0.1b	(/ (/ (fma x.re y.re (* x.im y.im)) (hypot y.im y.re)) (hypot y.im y.re))
0.0b	(hypot y.im y.re)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
54×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/l*`
11×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/r*` `div-inv`
4×	`expm1-log1p-u` `pow1` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg`
1×	`hypot-udef` `fma-udef` `associate-/l/`

Counts

4 → 125

Calls

4 calls:

Slowest

16.0ms	(/ (/ (fma x.re y.re (* x.im y.im)) (hypot y.im y.re)) (hypot y.im y.re))
9.0ms	(/ (fma x.re y.re (* x.im y.im)) (hypot y.im y.re))
0.0ms	(hypot y.im y.re)
0.0ms	(fma x.re y.re (* x.im y.im))

series461.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

165.0ms	(/ (fma x.re y.re (* x.im y.im)) (hypot y.im y.re))
149.0ms	(/ (/ (fma x.re y.re (* x.im y.im)) (hypot y.im y.re)) (hypot y.im y.re))
87.0ms	(hypot y.im y.re)
60.0ms	(fma x.re y.re (* x.im y.im))

simplify1.1s

Counts: 137 → 137

prune1.7s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.5b

regimes294.0ms

Accuracy

35.6% (6.9b remaining)

Error of 13.0b against oracle of 6.1b and baseline of 16.8b

bsearch87.0ms

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.1s

8485×

body

valid