Details

sample33.0ms

Algorithm

intervals

Results

11.0ms

325×

body

valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	11	7
2	18	7
done	18	7

prune3.0ms

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))

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))

series82.0ms

Counts

1 → 3

Calls

1 calls:

82.0ms

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

simplify2.6s

Counts

15 → 15

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	33	168
1	94	163
2	358	149
3	1291	149
4	4183	149
done	5001	149

prune78.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

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))
1.7b	(- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
27.0b	(/ (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (+ (* y.im x.im) (* x.re y.re)))

rewrite199.0ms

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:

33.0ms	(* (* x.im y.im) (* x.im y.im))
45.0ms	(* (* x.re y.re) (* x.re y.re))
30.0ms	(- (* (* 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))) (+ (* y.im x.im) (* x.re y.re)))

series346.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (* x.im y.im) (* x.im y.im))
35.0ms	(* (* x.re y.re) (* x.re y.re))
147.0ms	(- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
118.0ms	(/ (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (+ (* y.im x.im) (* x.re y.re)))

simplify2.3s

Counts

129 → 129

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	157	2250
1	457	2026
2	3318	1788
done	5001	1782

prune419.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* x.im y.im) (* x.im y.im))
1.7b	(- (* (* (* x.re y.re) x.re) y.re) (* (* x.im y.im) (* x.im y.im)))
3.4b	(* (* (* x.re y.re) x.re) y.re)
27.0b	(/ (- (* (* (* x.re y.re) x.re) y.re) (* (* x.im y.im) (* x.im y.im))) (+ (* y.im x.im) (* x.re y.re)))

rewrite435.0ms

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

Counts

4 → 99

Calls

4 calls:

44.0ms	(* (* x.im y.im) (* x.im y.im))
87.0ms	(- (* (* (* 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)
222.0ms	(/ (- (* (* (* x.re y.re) x.re) y.re) (* (* x.im y.im) (* x.im y.im))) (+ (* y.im x.im) (* x.re y.re)))

series343.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (* x.im y.im) (* x.im y.im))
137.0ms	(- (* (* (* x.re y.re) x.re) y.re) (* (* x.im y.im) (* x.im y.im)))
35.0ms	(* (* (* x.re y.re) x.re) y.re)
133.0ms	(/ (- (* (* (* x.re y.re) x.re) y.re) (* (* x.im y.im) (* x.im y.im))) (+ (* y.im x.im) (* x.re y.re)))

simplify3.2s

Counts

111 → 111

Iterations

Useful iterations: 2 (641.0ms)

Iter	Nodes	Cost
0	159	2067
1	469	1921
2	3796	1667
done	5000	1667

prune445.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes315.0ms

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	9	7
done	9	7

end0.0ms

sample1.4s

Algorithm

intervals

Results

483.0ms

10411×

body

valid