Details

sample44.0ms

Algorithm

intervals

Results

30.0ms

268×

body

valid

simplify18.0ms

Counts: 1 → 1

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.4b

localize33.0ms

Local error

Found 3 expressions with local error:

25.4b	(/ (fma x.re y.re (* x.im y.im)) (fma y.im y.im (* y.re y.re)))
0.8b	(fma x.re y.re (* x.im y.im))
0.0b	(fma y.im y.im (* y.re y.re))

rewrite11.0ms

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

Counts

3 → 52

Calls

3 calls:

Slowest

9.0ms	(/ (fma x.re y.re (* x.im y.im)) (fma y.im y.im (* y.re y.re)))
1.0ms	(fma y.im y.im (* y.re y.re))
0.0ms	(fma x.re y.re (* x.im y.im))

series277.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

157.0ms	(/ (fma x.re y.re (* x.im y.im)) (fma y.im y.im (* y.re y.re)))
75.0ms	(fma x.re y.re (* x.im y.im))
45.0ms	(fma y.im y.im (* y.re y.re))

simplify1.0s

Counts: 61 → 61

prune707.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 24.9b

localize34.0ms

Local error

Found 4 expressions with local error:

27.6b	(sqrt (fma y.im y.im (* y.re y.re)))
27.6b	(sqrt (fma y.im y.im (* y.re y.re)))
16.3b	(/ (fma x.re y.re (* x.im y.im)) (sqrt (fma y.im y.im (* y.re y.re))))
0.8b	(fma x.re y.re (* x.im y.im))

rewrite16.0ms

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

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

series329.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

139.0ms	(/ (fma x.re y.re (* x.im y.im)) (sqrt (fma y.im y.im (* y.re y.re))))
79.0ms	(sqrt (fma y.im y.im (* y.re y.re)))
67.0ms	(sqrt (fma y.im y.im (* y.re y.re)))
44.0ms	(fma x.re y.re (* x.im y.im))

simplify1.1s

Counts: 99 → 99

prune1.3s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 23.4b

localize40.0ms

Local error

Found 4 expressions with local error:

27.6b	(sqrt (fma y.im y.im (* y.re y.re)))
27.6b	(sqrt (fma y.im y.im (* y.re y.re)))
16.4b	(* (fma x.re y.re (* x.im y.im)) (/ 1 (sqrt (fma y.im y.im (* y.re y.re)))))
0.8b	(fma x.re y.re (* x.im y.im))

rewrite15.0ms

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`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `prod-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `fma-udef`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-exp` `cbrt-unprod` `hypot-def`
1×	`cbrt-undiv` `rec-exp` `1-exp` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `div-inv`

Counts

4 → 95

Calls

4 calls:

Slowest

11.0ms	(* (fma x.re y.re (* x.im 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)))
0.0ms	(fma x.re y.re (* x.im y.im))

series354.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

172.0ms	(* (fma x.re y.re (* x.im y.im)) (/ 1 (sqrt (fma y.im y.im (* y.re y.re)))))
70.0ms	(fma x.re y.re (* x.im y.im))
58.0ms	(sqrt (fma y.im y.im (* y.re y.re)))
54.0ms	(sqrt (fma y.im y.im (* y.re y.re)))

simplify1.0s

Counts: 107 → 107

prune1.4s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 23.4b

localize48.0ms

Local error

Found 4 expressions with local error:

27.6b	(sqrt (fma y.im y.im (* y.re y.re)))
16.4b	(* (fma x.re y.re (* x.im y.im)) (/ 1 (hypot y.im y.re)))
0.8b	(fma x.re y.re (* x.im y.im))
0.1b	(/ (* (fma x.re y.re (* x.im y.im)) (/ 1 (hypot y.im y.re))) (sqrt (fma y.im y.im (* y.re y.re))))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 103

Calls

4 calls:

Slowest

23.0ms	(/ (* (fma x.re y.re (* x.im y.im)) (/ 1 (hypot y.im y.re))) (sqrt (fma y.im y.im (* y.re y.re))))
14.0ms	(* (fma x.re y.re (* x.im y.im)) (/ 1 (hypot y.im y.re)))
7.0ms	(sqrt (fma y.im y.im (* y.re y.re)))
0.0ms	(fma x.re y.re (* x.im y.im))

series534.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

238.0ms	(/ (* (fma x.re y.re (* x.im y.im)) (/ 1 (hypot y.im y.re))) (sqrt (fma y.im y.im (* y.re y.re))))
172.0ms	(* (fma x.re y.re (* x.im y.im)) (/ 1 (hypot y.im y.re)))
64.0ms	(fma x.re y.re (* x.im y.im))
60.0ms	(sqrt (fma y.im y.im (* y.re y.re)))

simplify2.0s

Counts: 115 → 115

prune1.4s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 14.9b

regimes391.0ms

Accuracy

0% (2.7b remaining)

Error of 16.7b against oracle of 14.0b and baseline of 16.7b

bsearch4.0ms

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.5s

8469×

body

valid