Details

sample45.0ms

Algorithm

intervals

Results

26.0ms

360×

body

valid

simplify18.0ms

Counts

1 → 1

Iterations

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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))

series59.0ms

Counts

1 → 3

Calls

1 calls:

59.0ms

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

simplify1.0s

Counts

20 → 20

Iterations

Iter	Nodes
4	2257
3	976
2	324
1	108
0	40

prune175.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite0.0ms

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)))

series70.0ms

Counts

1 → 3

Calls

1 calls:

70.0ms

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

simplify2.1s

Counts

14 → 14

Iterations

Iter	Nodes
6	3952
5	795
4	197
3	60
2	37
1	31
0	22

prune155.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x.re y.re (- (* x.im y.im)))
0.3b	(* (sqrt (fma x.re y.re (- (* x.im y.im)))) (sqrt (fma x.re y.re (- (* x.im y.im)))))
0.6b	(sqrt (fma x.re y.re (- (* x.im y.im))))
0.6b	(sqrt (fma x.re y.re (- (* x.im y.im))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

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

series421.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(fma x.re y.re (- (* x.im y.im)))
49.0ms	(* (sqrt (fma x.re y.re (- (* x.im y.im)))) (sqrt (fma x.re y.re (- (* x.im y.im)))))
131.0ms	(sqrt (fma x.re y.re (- (* x.im y.im))))
161.0ms	(sqrt (fma x.re y.re (- (* x.im y.im))))

simplify4.3s

Counts

107 → 107

Iterations

Iter	Nodes
4	8349
3	1584
2	478
1	200
0	92

prune778.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes269.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
3	14
2	14
1	12
0	7

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.1s

10523×

body

valid