Details

sample48.0ms

Algorithm

intervals

Results

25.0ms

264×

body

valid

simplify54.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	15
1	19	15
2	36	15
3	48	15
4	66	15
5	70	15
done	70	15

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.5b

localize11.0ms

Local error

Found 2 expressions with local error:

1.2b	(- (* x.im y.re) (* x.re y.im))
28.0b	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`pow1` `flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

2 → 44

Calls

2 calls:

13.0ms	(- (* x.im y.re) (* x.re y.im))
49.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

series165.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(- (* x.im y.re) (* x.re y.im))
122.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

simplify2.1s

Counts

50 → 50

Iterations

Useful iterations: 3 (605.0ms)

Iter	Nodes	Cost
0	89	954
1	252	936
2	858	854
3	2877	850
done	5000	850

prune172.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 27.7b

localize21.0ms

Local error

Found 4 expressions with local error:

1.2b	(- (* x.im y.re) (* x.re y.im))
18.9b	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
32.9b	(sqrt (+ (* y.re y.re) (* y.im y.im)))
32.9b	(sqrt (+ (* y.re y.re) (* y.im y.im)))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac` `sqrt-prod`
6×	`pow1` `add-exp-log` `sqrt-div` `associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`flip3-+` `flip-+` `associate-/l*`
2×	`rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

4 → 86

Calls

4 calls:

18.0ms	(- (* x.im y.re) (* x.re y.im))
30.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
9.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
9.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

series302.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(- (* x.im y.re) (* x.re y.im))
155.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
41.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
49.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

simplify2.0s

Counts

98 → 98

Iterations

Useful iterations: 3 (613.0ms)

Iter	Nodes	Cost
0	121	1814
1	306	1682
2	888	1574
3	2539	1558
done	5001	1558

prune383.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 25.3b

localize22.0ms

Local error

Found 4 expressions with local error:

1.2b	(- (* x.im y.re) (* x.re y.im))
18.9b	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
32.9b	(sqrt (+ (* y.re y.re) (* y.im y.im)))
32.9b	(sqrt (+ (* y.re y.re) (* y.im y.im)))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac` `sqrt-prod`
6×	`pow1` `add-exp-log` `sqrt-div` `associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`flip3-+` `flip-+` `associate-/l*`
2×	`rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

4 → 86

Calls

4 calls:

18.0ms	(- (* x.im y.re) (* x.re y.im))
36.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
14.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
13.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

series316.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(- (* x.im y.re) (* x.re y.im))
153.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
48.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
57.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

simplify2.1s

Counts

98 → 98

Iterations

Useful iterations: 3 (622.0ms)

Iter	Nodes	Cost
0	121	1814
1	306	1682
2	888	1574
3	2539	1558
done	5001	1558

prune439.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 25.3b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b

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

19.4b

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

20.3b

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

rewrite181.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`associate-/r/`
7×	`add-cube-cbrt`
6×	`times-frac` `associate-/r*`
5×	`add-log-exp`
4×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+` `div-inv`
3×	`pow1` `distribute-rgt-out--`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l*`
1×	`sub-neg` `flip3--` `diff-log` `frac-sub` `flip--` `distribute-lft-out--` `sub-div` `difference-of-squares`

Counts

3 → 65

Calls

3 calls:

120.0ms

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

28.0ms

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

28.0ms

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

series333.0ms

Counts

3 → 9

Calls

3 calls:

189.0ms

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

72.0ms

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

71.0ms

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

simplify1.2s

Counts

74 → 74

Iterations

Useful iterations: 2 (184.0ms)

Iter	Nodes	Cost
0	124	1443
1	341	1372
2	1232	1198
done	5000	1198

prune173.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 24.6b

regimes132.0ms

Accuracy

0% (2.5b remaining)

Error of 24.7b against oracle of 22.2b and baseline of 24.7b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	33
1	17	33
done	17	33

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.0s

8474×

body

valid