Details

sample61.0ms

Algorithm

intervals

Results

42.0ms

274×

body

valid

simplify96.0ms

Counts: 1 → 1

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.9b

localize20.0ms

Local error

Found 3 expressions with local error:

24.9b	(/ (- (* x.im y.re) (* x.re y.im)) (fma y.im y.im (* y.re y.re)))
0.5b	(- (* x.im y.re) (* x.re y.im))
0.0b	(fma y.im y.im (* y.re y.re))

rewrite41.0ms

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:

Slowest

24.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (fma y.im y.im (* y.re y.re)))
15.0ms	(- (* x.im y.re) (* x.re y.im))
0.0ms	(fma y.im y.im (* y.re y.re))

series238.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

115.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (fma y.im y.im (* y.re y.re)))
65.0ms	(fma y.im y.im (* y.re y.re))
58.0ms	(- (* x.im y.re) (* x.re y.im))

simplify1.1s

Counts: 70 → 70

prune837.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 24.4b

localize24.0ms

Local error

Found 4 expressions with local error:

26.2b	(sqrt (fma y.im y.im (* y.re y.re)))
26.2b	(sqrt (fma y.im y.im (* y.re y.re)))
14.6b	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (fma y.im y.im (* y.re y.re))))
0.5b	(- (* x.im y.re) (* x.re y.im))

rewrite39.0ms

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:

Slowest

27.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (fma y.im y.im (* y.re y.re))))
8.0ms	(- (* 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)))

series347.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

181.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (fma y.im y.im (* y.re y.re))))
64.0ms	(sqrt (fma y.im y.im (* y.re y.re)))
54.0ms	(sqrt (fma y.im y.im (* y.re y.re)))
48.0ms	(- (* x.im y.re) (* x.re y.im))

simplify983.0ms

Counts: 108 → 108

prune1.4s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 21.6b

localize58.0ms

Local error

Found 4 expressions with local error:

26.2b	(sqrt (fma y.im y.im (* y.re y.re)))
26.2b	(sqrt (fma y.im y.im (* y.re y.re)))
14.7b	(/ (sqrt (fma y.im y.im (* y.re y.re))) (- (* x.im y.re) (* x.re y.im)))
0.5b	(- (* x.im y.re) (* x.re 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` `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:

Slowest

24.0ms	(/ (sqrt (fma y.im y.im (* y.re y.re))) (- (* x.im y.re) (* x.re y.im)))
16.0ms	(- (* x.im y.re) (* x.re y.im))
2.0ms	(sqrt (fma y.im y.im (* y.re y.re)))
2.0ms	(sqrt (fma y.im y.im (* y.re y.re)))

series309.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

123.0ms	(/ (sqrt (fma y.im y.im (* y.re y.re))) (- (* x.im y.re) (* x.re y.im)))
64.0ms	(- (* x.im y.re) (* x.re y.im))
62.0ms	(sqrt (fma y.im y.im (* y.re y.re)))
59.0ms	(sqrt (fma y.im y.im (* y.re y.re)))

simplify732.0ms

Counts: 107 → 107

prune1.5s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 21.6b

localize91.0ms

Local error

Found 4 expressions with local error:

26.2b	(sqrt (fma y.im y.im (* y.re y.re)))
26.2b	(sqrt (fma y.im y.im (* y.re y.re)))
15.3b	(cbrt (- (* x.im y.re) (* x.re y.im)))
15.3b	(cbrt (- (* x.im y.re) (* x.re y.im)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`cbrt-prod` `pow1` `sqrt-prod`
4×	`expm1-log1p-u` `cbrt-div` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `flip3--` `pow1/2` `pow1/3` `fma-udef` `hypot-def` `flip--`

Counts

4 → 66

Calls

4 calls:

Slowest

10.0ms	(cbrt (- (* x.im y.re) (* x.re y.im)))
10.0ms	(cbrt (- (* x.im y.re) (* x.re y.im)))
2.0ms	(sqrt (fma y.im y.im (* y.re y.re)))
2.0ms	(sqrt (fma y.im y.im (* y.re y.re)))

series484.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

195.0ms	(cbrt (- (* x.im y.re) (* x.re y.im)))
158.0ms	(cbrt (- (* x.im y.re) (* x.re y.im)))
83.0ms	(sqrt (fma y.im y.im (* y.re y.re)))
47.0ms	(sqrt (fma y.im y.im (* y.re y.re)))

simplify747.0ms

Counts: 78 → 78

prune1.1s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 21.6b

regimes362.0ms

Accuracy

0% (2.6b remaining)

Error of 25.7b against oracle of 23.1b and baseline of 25.7b

bsearch5.0ms

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.1s

8485×

body

valid