Details

sample25.0ms

Algorithm

intervals

Results

10.0ms

324×

body

valid

simplify8.0ms

Counts

1 → 1

Iterations

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

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` `log1p-expm1-u` `flip--`

Counts

1 → 16

Calls

1 calls:

8.0ms

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

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

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

simplify2.1s

Counts

19 → 19

Iterations

Iter	Nodes
done	5000
4	3593
3	1379
2	399
1	107
0	39

prune122.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize11.0ms

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` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

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

series58.0ms

Counts

1 → 3

Calls

1 calls:

58.0ms

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

simplify2.5s

Counts

13 → 13

Iterations

Iter	Nodes
done	5000
4	2671
3	351
2	81
1	31
0	21

prune59.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x.im y.im) (* x.im y.im))
0.3b	(* (* x.re y.re) (* x.re y.re))
2.2b	(- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
27.9b	(/ (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im)))

rewrite148.0ms

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`
8×	`pow-sqr` `pow-prod-up`
6×	`add-log-exp`
5×	`difference-of-squares`
4×	`expm1-log1p-u` `pow-plus` `log1p-expm1-u` `associate-/l*`
3×	`associate-/r*`
2×	`pow2` `flip3--` `swap-sqr` `associate-r` `associate-l` `associate-/r/` `*-commutative` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `fma-neg` `diff-log` `div-sub` `div-exp` `prod-diff` `flip-+` `div-inv`

Counts

4 → 127

Calls

4 calls:

21.0ms	(* (* x.im y.im) (* x.im y.im))
24.0ms	(* (* x.re y.re) (* x.re y.re))
32.0ms	(- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
68.0ms	(/ (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im)))

series284.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (* x.im y.im) (* x.im y.im))
35.0ms	(* (* x.re y.re) (* x.re y.re))
118.0ms	(- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
92.0ms	(/ (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im)))

simplify1.9s

Counts

139 → 139

Iterations

Iter	Nodes
done	5000
2	3112
1	465
0	165

prune520.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes332.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	14
2	14
1	12
0	7

end0.0ms

sample688.0ms

Algorithm

intervals

Results

332.0ms

10433×

body

valid