Details

sample28.0ms

Algorithm

intervals

Results

16.0ms

337×

body

valid

simplify18.0ms

Counts

1 → 1

Iterations

Iter	Nodes
4	24
3	24
2	20
1	12
0	7

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 1 expressions with local error:

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

rewrite16.0ms

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:

16.0ms

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

series62.0ms

Counts

1 → 3

Calls

1 calls:

62.0ms

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

simplify1.1s

Counts

20 → 20

Iterations

Iter	Nodes
4	2258
3	976
2	324
1	108
0	40

prune215.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize23.0ms

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:

1.0ms

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

series86.0ms

Counts

1 → 3

Calls

1 calls:

86.0ms

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

simplify2.0s

Counts

14 → 14

Iterations

Iter	Nodes
6	3951
5	796
4	197
3	60
2	37
1	31
0	22

prune158.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize85.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* y.im x.im) (* y.im x.im))
0.2b	(* (* x.re y.re) (* x.re y.re))
1.4b	(- (* (* x.re y.re) (* (* x.re y.re) (* x.re y.re))) (* (* y.im x.im) (* (* y.im x.im) (* y.im x.im))))
37.3b	(/ (- (* (* x.re y.re) (* (* x.re y.re) (* x.re y.re))) (* (* y.im x.im) (* (* y.im x.im) (* y.im x.im)))) (fma (fma y.im x.im (* x.re y.re)) (* x.re y.re) (* (* y.im x.im) (* y.im x.im))))

rewrite718.0ms

Algorithm

rewrite-expression-head

Rules

82×	`pow1`
34×	`pow-prod-down`
30×	`add-cbrt-cube` `add-exp-log`
16×	`prod-exp` `cbrt-unprod`
13×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`times-frac`
10×	`cube-unmult`
8×	`pow-sqr` `pow-prod-up`
6×	`add-log-exp`
5×	`difference-cubes`
4×	`expm1-log1p-u` `pow-plus` `insert-posit16` `log1p-expm1-u` `associate-/l*`
3×	`associate-/r*`
2×	`pow2` `flip3--` `swap-sqr` `associate-r` `associate-l` `*-commutative` `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 → 129

Calls

4 calls:

29.0ms	(* (* y.im x.im) (* y.im x.im))
30.0ms	(* (* x.re y.re) (* x.re y.re))
182.0ms	(- (* (* x.re y.re) (* (* x.re y.re) (* x.re y.re))) (* (* y.im x.im) (* (* y.im x.im) (* y.im x.im))))
474.0ms	(/ (- (* (* x.re y.re) (* (* x.re y.re) (* x.re y.re))) (* (* y.im x.im) (* (* y.im x.im) (* y.im x.im)))) (fma (fma y.im x.im (* x.re y.re)) (* x.re y.re) (* (* y.im x.im) (* y.im x.im))))

series605.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (* y.im x.im) (* y.im x.im))
50.0ms	(* (* x.re y.re) (* x.re y.re))
326.0ms	(- (* (* x.re y.re) (* (* x.re y.re) (* x.re y.re))) (* (* y.im x.im) (* (* y.im x.im) (* y.im x.im))))
181.0ms	(/ (- (* (* x.re y.re) (* (* x.re y.re) (* x.re y.re))) (* (* y.im x.im) (* (* y.im x.im) (* y.im x.im)))) (fma (fma y.im x.im (* x.re y.re)) (* x.re y.re) (* (* y.im x.im) (* y.im x.im))))

simplify10.5s

Counts

141 → 141

Iterations

Iter	Nodes
3	17072
2	1887
1	453
0	180

prune2.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes259.0ms

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
3	14
2	14
1	12
0	7

end0.0ms

sample1.2s

Algorithm

intervals

Results

800.0ms

10412×

body

valid