Details

sample17.0ms

Algorithm

intervals

Results

6.0ms

309×

body

valid

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	10	7
done	10	7

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

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 11

Calls

1 calls:

2.0ms

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

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

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

simplify1.4s

Counts

14 → 14

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	32	160
1	106	155
2	354	141
3	909	141
4	2188	141
done	5000	141

prune34.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* x.re y.im) (* x.re y.im))
0.3b	(* (* x.im y.re) (* x.im y.re))
2.2b	(- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re)))
25.1b	(/ (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))) (- (* x.re y.im) (* x.im y.re)))

rewrite65.0ms

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×	`flip3--` `associate-/r*` `flip--`
2×	`pow2` `swap-sqr` `associate-r` `associate-l` `associate-/r/` `*-commutative` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

4 → 117

Calls

4 calls:

9.0ms	(* (* x.re y.im) (* x.re y.im))
9.0ms	(* (* x.im y.re) (* x.im y.re))
10.0ms	(- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re)))
32.0ms	(/ (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))) (- (* x.re y.im) (* x.im y.re)))

series231.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (* x.re y.im) (* x.re y.im))
28.0ms	(* (* x.im y.re) (* x.im y.re))
97.0ms	(- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re)))
74.0ms	(/ (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))) (- (* x.re y.im) (* x.im y.re)))

simplify787.0ms

Counts

129 → 129

Iterations

Useful iterations: done (783.0ms)

Iter	Nodes	Cost
0	153	2250
1	420	1968
2	2035	1542
done	5001	1514

prune203.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* x.re y.im) (* x.re y.im))
2.2b	(- (* (* x.re y.im) (* x.re y.im)) (* x.im (* y.re (* x.im y.re))))
4.2b	(* x.im (* y.re (* x.im y.re)))
25.1b	(/ (- (* (* x.re y.im) (* x.re y.im)) (* x.im (* y.re (* x.im y.re)))) (- (* x.re y.im) (* x.im y.re)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

52×	`pow1`
27×	`add-exp-log` `add-cbrt-cube`
23×	`pow-prod-down`
14×	`prod-exp` `cbrt-unprod`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
6×	`add-log-exp`
4×	`associate-l` `pow-sqr` `pow-prod-up`
3×	`flip3--` `associate-/r` `flip--` `associate-/l`
2×	`pow-plus` `associate-r` `associate-/r/` `*-commutative` `associate-/l/`
1×	`cbrt-undiv` `pow2` `sub-neg` `frac-2neg` `diff-log` `div-sub` `swap-sqr` `div-exp` `clear-num` `div-inv`

Counts

4 → 99

Calls

4 calls:

12.0ms	(* (* x.re y.im) (* x.re y.im))
10.0ms	(- (* (* x.re y.im) (* x.re y.im)) (* x.im (* y.re (* x.im y.re))))
15.0ms	(* x.im (* y.re (* x.im y.re)))
29.0ms	(/ (- (* (* x.re y.im) (* x.re y.im)) (* x.im (* y.re (* x.im y.re)))) (- (* x.re y.im) (* x.im y.re)))

series230.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (* x.re y.im) (* x.re y.im))
99.0ms	(- (* (* x.re y.im) (* x.re y.im)) (* x.im (* y.re (* x.im y.re))))
31.0ms	(* x.im (* y.re (* x.im y.re)))
71.0ms	(/ (- (* (* x.re y.im) (* x.re y.im)) (* x.im (* y.re (* x.im y.re)))) (- (* x.re y.im) (* x.im y.re)))

simplify772.0ms

Counts

111 → 111

Iterations

Useful iterations: 2 (141.0ms)

Iter	Nodes	Cost
0	156	2064
1	425	1908
2	2103	1662
done	5000	1662

prune197.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes103.0ms

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	7	7
1	10	7
done	10	7

end0.0ms

sample468.0ms

Algorithm

intervals

Results

221.0ms

10353×

body

valid