Details

sample37.0ms

Algorithm

intervals

Results

14.0ms

344×

body

valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune9.0ms

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

rewrite13.0ms

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:

13.0ms

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

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

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

simplify1.2s

Counts

14 → 14

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	32	160
1	103	155
2	466	141
3	2202	141
done	5000	141

prune34.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 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)))
23.2b	(/ (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))) (- (* x.re y.im) (* y.re x.im)))

rewrite178.0ms

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:

29.0ms	(* (* x.re y.im) (* x.re y.im))
27.0ms	(* (* x.im y.re) (* x.im y.re))
33.0ms	(- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re)))
85.0ms	(/ (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))) (- (* x.re y.im) (* y.re x.im)))

series367.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* (* x.re y.im) (* x.re y.im))
56.0ms	(* (* x.im y.re) (* x.im y.re))
133.0ms	(- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re)))
122.0ms	(/ (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))) (- (* x.re y.im) (* y.re x.im)))

simplify2.5s

Counts

129 → 129

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	157	2250
1	458	2026
2	3295	1790
done	5000	1776

prune287.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 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))
4.0b	(* (* (* x.im y.re) x.im) y.re)
23.2b	(/ (- (* (* x.re y.im) (* x.re y.im)) (* (* (* x.im y.re) x.im) y.re)) (- (* x.re y.im) (* y.re x.im)))

rewrite257.0ms

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-r` `pow-sqr` `pow-prod-up`
3×	`flip3--` `associate-/r` `flip--` `associate-/l`
2×	`pow-plus` `associate-l` `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:

40.0ms	(* (* x.re y.im) (* x.re y.im))
42.0ms	(- (* (* x.re y.im) (* x.re y.im)) (* (* (* x.im y.re) x.im) y.re))
77.0ms	(* (* (* x.im y.re) x.im) y.re)
93.0ms	(/ (- (* (* x.re y.im) (* x.re y.im)) (* (* (* x.im y.re) x.im) y.re)) (- (* x.re y.im) (* y.re x.im)))

series339.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (* x.re y.im) (* x.re y.im))
146.0ms	(- (* (* x.re y.im) (* x.re y.im)) (* (* (* x.im y.re) x.im) y.re))
41.0ms	(* (* (* x.im y.re) x.im) y.re)
109.0ms	(/ (- (* (* x.re y.im) (* x.re y.im)) (* (* (* x.im y.re) x.im) y.re)) (- (* x.re y.im) (* y.re x.im)))

simplify3.1s

Counts

111 → 111

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	159	2067
1	465	1909
2	3726	1677
done	5000	1671

prune306.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes158.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.2s

Algorithm

intervals

Results

567.0ms

10477×

body

valid