Details

sample42.0ms

Algorithm

intervals

Results

27.0ms

346×

body

valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	18
2	18
1	11
0	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 13

Calls

1 calls:

12.0ms

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

series58.0ms

Counts

1 → 3

Calls

1 calls:

58.0ms

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

simplify1.4s

Counts

16 → 16

Iterations

Iter	Nodes
done	2005
5	2005
4	1725
3	738
2	264
1	93
0	34

prune146.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x.re y.re) (* x.re y.re))
0.3b	(* (* x.im y.im) (* x.im y.im))
1.3b	(- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
25.5b	(/ (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im)))

rewrite174.0ms

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×	`pow-plus` `insert-posit16` `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-+` `diff-log` `div-sub` `div-exp` `flip-+` `div-inv`

Counts

4 → 121

Calls

4 calls:

21.0ms	(* (* x.re y.re) (* x.re y.re))
31.0ms	(* (* x.im y.im) (* x.im y.im))
35.0ms	(- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
85.0ms	(/ (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im)))

series264.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (* x.re y.re) (* x.re y.re))
42.0ms	(* (* x.im y.im) (* x.im y.im))
99.0ms	(- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
81.0ms	(/ (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im)))

simplify1.2s

Counts

133 → 133

Iterations

Iter	Nodes
done	2000
3	2000
2	1927
1	436
0	158

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.8b	(/ (- (* x.re y.re) (* x.im y.im)) (cbrt (+ (* x.re y.re) (* x.im y.im))))
0.9b	(cbrt (+ (* x.re y.re) (* x.im y.im)))
0.9b	(cbrt (+ (* x.re y.re) (* x.im y.im)))
0.9b	(cbrt (+ (* x.re y.re) (* x.im y.im)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
21×	`cbrt-prod`
18×	`times-frac`
8×	`cbrt-div`
6×	`associate-/r*` `add-exp-log`
5×	`add-cbrt-cube`
4×	`pow1` `flip3-+` `flip-+` `insert-posit16` `add-log-exp`
3×	`pow1/3` `associate-/l*`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-sub` `div-exp` `div-inv` `flip--`

Counts

4 → 87

Calls

4 calls:

33.0ms	(/ (- (* x.re y.re) (* x.im y.im)) (cbrt (+ (* x.re y.re) (* x.im y.im))))
8.0ms	(cbrt (+ (* x.re y.re) (* x.im y.im)))
4.0ms	(cbrt (+ (* x.re y.re) (* x.im y.im)))
4.0ms	(cbrt (+ (* x.re y.re) (* x.im y.im)))

series723.0ms

Counts

4 → 12

Calls

4 calls:

314.0ms	(/ (- (* x.re y.re) (* x.im y.im)) (cbrt (+ (* x.re y.re) (* x.im y.im))))
135.0ms	(cbrt (+ (* x.re y.re) (* x.im y.im)))
144.0ms	(cbrt (+ (* x.re y.re) (* x.im y.im)))
129.0ms	(cbrt (+ (* x.re y.re) (* x.im y.im)))

simplify974.0ms

Counts

99 → 99

Iterations

Iter	Nodes
done	2000
3	2000
2	1134
1	414
0	154

prune922.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize71.0ms

Local error

Found 4 expressions with local error:

0.9b	(cbrt (+ (* x.re y.re) (* x.im y.im)))
0.9b	(cbrt (- (* x.re y.re) (* x.im y.im)))
0.9b	(cbrt (- (* x.re y.re) (* x.im y.im)))
0.9b	(cbrt (- (* x.re y.re) (* x.im y.im)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `cbrt-div` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`flip3--` `flip--`
1×	`flip3-+` `flip-+`

Counts

4 → 56

Calls

4 calls:

4.0ms	(cbrt (+ (* x.re y.re) (* x.im y.im)))
5.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
5.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
16.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))

series650.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(cbrt (+ (* x.re y.re) (* x.im y.im)))
179.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
165.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
155.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))

simplify1.0s

Counts

68 → 68

Iterations

Iter	Nodes
done	2011
4	2011
3	1697
2	602
1	237
0	96

prune632.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes349.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
1	9
0	7

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.2s

10447×

body

valid