Details

sample31.0ms

Algorithm

intervals

Results

15.0ms

337×

body

valid

simplify16.0ms

Counts

1 → 1

Iterations

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite17.0ms

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))

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

(- (* 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

prune177.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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)))

simplify2.0s

Counts

14 → 14

Iterations

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

prune130.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x.re y.re) (* x.im y.im))
0.2b	(* (* (- (* x.re y.re) (* x.im y.im)) (- (* x.re y.re) (* x.im y.im))) (- (* x.re y.re) (* x.im y.im)))
0.3b	(* (- (* x.re y.re) (* x.im y.im)) (- (* x.re y.re) (* x.im y.im)))
35.5b	(cbrt (* (* (- (* x.re y.re) (* x.im y.im)) (- (* x.re y.re) (* x.im y.im))) (- (* x.re y.re) (* x.im y.im))))

rewrite221.0ms

Algorithm

rewrite-expression-head

Rules

61×	`flip3--` `flip--`
60×	`frac-times`
30×	`pow1` `associate-*l/`
26×	`cbrt-div`
18×	`associate-*r/`
12×	`add-sqr-sqrt`
11×	`add-cbrt-cube` `add-exp-log`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`pow-plus` `pow-prod-up`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `add-log-exp`
5×	`sub-neg` `prod-diff`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u`
3×	`pow2` `swap-sqr` `pow-sqr`
2×	`pow3` `*-commutative` `unswap-sqr`
1×	`cbrt-prod` `fma-neg` `pow1/3` `diff-log` `rem-cbrt-cube`

Counts

4 → 161

Calls

4 calls:

12.0ms	(- (* x.re y.re) (* x.im y.im))
92.0ms	(* (* (- (* x.re y.re) (* x.im y.im)) (- (* x.re y.re) (* x.im y.im))) (- (* x.re y.re) (* x.im y.im)))
45.0ms	(* (- (* x.re y.re) (* x.im y.im)) (- (* x.re y.re) (* x.im y.im)))
67.0ms	(cbrt (* (* (- (* x.re y.re) (* x.im y.im)) (- (* x.re y.re) (* x.im y.im))) (- (* x.re y.re) (* x.im y.im))))

series470.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(- (* x.re y.re) (* x.im y.im))
230.0ms	(* (* (- (* x.re y.re) (* x.im y.im)) (- (* x.re y.re) (* x.im y.im))) (- (* x.re y.re) (* x.im y.im)))
99.0ms	(* (- (* x.re y.re) (* x.im y.im)) (- (* x.re y.re) (* x.im y.im)))
79.0ms	(cbrt (* (* (- (* x.re y.re) (* x.im y.im)) (- (* x.re y.re) (* x.im y.im))) (- (* x.re y.re) (* x.im y.im))))

simplify755.0ms

Counts

173 → 173

Iterations

Iter	Nodes
2	2361
1	542
0	218

prune2.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes288.0ms

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

sample1.1s

Algorithm

intervals

Results

696.0ms

10490×

body

valid