Details

sample22.0ms

Algorithm

intervals

Results

7.0ms

352×

body

valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	18	3
2	18	3
done	18	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 12

Calls

1 calls:

8.0ms

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

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

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

simplify78.0ms

Counts

15 → 15

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	91	78
1	285	71
2	895	71
3	2136	71
4	5001	71
done	5001	71

prune32.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* x.im y.im) (* x.im y.im))
0.3b	(* (* x.re y.re) (* x.re y.re))
1.1b	(- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
24.5b	(/ (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im)))

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

82×	`pow1`
34×	`pow-prod-down`
30×	`add-exp-log` `add-cbrt-cube`
16×	`prod-exp` `cbrt-unprod`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
8×	`pow-sqr` `pow-prod-up`
6×	`add-log-exp`
5×	`difference-of-squares`
4×	`pow-plus` `associate-/l*`
3×	`associate-/r*`
2×	`pow2` `flip3--` `swap-sqr` `associate-r` `associate-l` `associate-/r/` `*-commutative` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

4 → 117

Calls

4 calls:

25.0ms	(* (* x.im y.im) (* x.im y.im))
26.0ms	(* (* x.re y.re) (* x.re y.re))
28.0ms	(- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
78.0ms	(/ (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im)))

series251.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (* x.im y.im) (* x.im y.im))
30.0ms	(* (* x.re y.re) (* x.re y.re))
102.0ms	(- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
86.0ms	(/ (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im)))

simplify75.0ms

Counts

129 → 129

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	419	968
1	2372	848
2	5003	847
done	5003	847

prune184.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x.re y.re) (* x.im y.im))
0.0b	(* (+ (* x.re y.re) (* x.im y.im)) (/ (- (* x.re y.re) (* x.im y.im)) (+ (* x.re y.re) (* x.im y.im))))
0.0b	(- (* x.re y.re) (* x.im y.im))
1.8b	(/ (- (* x.re y.re) (* x.im y.im)) (+ (* x.re y.re) (* x.im y.im)))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
15×	`associate-r`
11×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
6×	`pow1`
5×	`flip3-+` `flip-+`
4×	`associate-/r/`
3×	`associate-l` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `frac-times` `flip3--` `div-exp` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative`

Counts

4 → 93

Calls

4 calls:

7.0ms	(+ (* x.re y.re) (* x.im y.im))
55.0ms	(* (+ (* x.re y.re) (* x.im y.im)) (/ (- (* x.re y.re) (* x.im y.im)) (+ (* x.re y.re) (* x.im y.im))))
7.0ms	(- (* x.re y.re) (* x.im y.im))
27.0ms	(/ (- (* x.re y.re) (* x.im y.im)) (+ (* x.re y.re) (* x.im y.im)))

series159.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ (* x.re y.re) (* x.im y.im))
41.0ms	(* (+ (* x.re y.re) (* x.im y.im)) (/ (- (* x.re y.re) (* x.im y.im)) (+ (* x.re y.re) (* x.im y.im))))
39.0ms	(- (* x.re y.re) (* x.im y.im))
43.0ms	(/ (- (* x.re y.re) (* x.im y.im)) (+ (* x.re y.re) (* x.im y.im)))

simplify66.0ms

Counts

105 → 105

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	347	1121
1	1982	993
2	5001	993
done	5001	993

prune227.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 12

Calls

1 calls:

8.0ms

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

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

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

simplify76.0ms

Counts

15 → 15

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	91	78
1	285	71
2	895	71
3	2136	71
4	5001	71
done	5001	71

prune32.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes135.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	3
1	16	3
2	16	3
done	16	3

end0.0ms

sample567.0ms

Algorithm

intervals

Results

207.0ms

10395×

body

valid