Details

sample33.0ms

Algorithm

intervals

Results

17.0ms

346×

body

valid

simplify16.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	24
3	24
2	20
1	12
0	7

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* x.re y.re) (* x.im y.im))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `sub-neg` `*-un-lft-identity` `flip3--` `add-cbrt-cube` `fma-neg` `diff-log` `prod-diff` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `flip--`

Counts

1 → 17

Calls

1 calls:

17.0ms

(- (* x.re y.re) (* x.im y.im))

series77.0ms

Counts

1 → 3

Calls

1 calls:

77.0ms

(- (* x.re y.re) (* x.im y.im))

simplify2.1s

Counts

20 → 20

Iterations

Iter	Nodes
done	5000
4	2230
3	970
2	324
1	108
0	40

prune71.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 11

Calls

1 calls:

0.0ms

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

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

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

simplify2.7s

Counts

14 → 14

Iterations

Iter	Nodes
done	5000
6	3960
5	795
4	197
3	60
2	37
1	31
0	22

prune66.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x.re y.re) (* x.im y.im))
0.2b	(* (sqrt (- (* x.re y.re) (* x.im y.im))) (sqrt (- (* x.re y.re) (* x.im y.im))))
0.6b	(sqrt (- (* x.re y.re) (* x.im y.im)))
0.6b	(sqrt (- (* x.re y.re) (* x.im y.im)))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`*-un-lft-identity` `add-cube-cbrt`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3--` `flip--`
8×	`swap-sqr`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log` `add-log-exp`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `frac-times` `insert-posit16` `log1p-expm1-u` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-l/` `associate-r/`
1×	`pow2` `sub-neg` `rem-square-sqrt` `pow-plus` `fma-neg` `sqrt-unprod` `diff-log` `prod-diff` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 113

Calls

4 calls:

9.0ms	(- (* x.re y.re) (* x.im y.im))
59.0ms	(* (sqrt (- (* x.re y.re) (* x.im y.im))) (sqrt (- (* x.re y.re) (* x.im y.im))))
12.0ms	(sqrt (- (* x.re y.re) (* x.im y.im)))
12.0ms	(sqrt (- (* x.re y.re) (* x.im y.im)))

series307.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(- (* x.re y.re) (* x.im y.im))
47.0ms	(* (sqrt (- (* x.re y.re) (* x.im y.im))) (sqrt (- (* x.re y.re) (* x.im y.im))))
109.0ms	(sqrt (- (* x.re y.re) (* x.im y.im)))
108.0ms	(sqrt (- (* x.re y.re) (* x.im y.im)))

simplify2.4s

Counts

125 → 125

Iterations

Iter	Nodes
done	5000
3	2907
2	819
1	274
0	126

prune437.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes296.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	14
2	14
1	12
0	7

end0.0ms

sample1.1s

Algorithm

intervals

Results

443.0ms

10486×

body

valid