Details

sample47.0ms

Algorithm

intervals

Results

24.0ms

271×

body

valid

simplify40.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	72
5	72
4	66
3	48
2	36
1	19
0	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.8b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* y.re y.re) (* y.im y.im))
0.5b	(- (* x.im y.re) (* x.re y.im))
25.3b	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 55

Calls

3 calls:

6.0ms	(+ (* y.re y.re) (* y.im y.im))
6.0ms	(- (* x.im y.re) (* x.re y.im))
26.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

series215.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(+ (* y.re y.re) (* y.im y.im))
54.0ms	(- (* x.im y.re) (* x.re y.im))
119.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

simplify744.0ms

Counts

64 → 64

Iterations

Iter	Nodes
done	5000
2	1834
1	319
0	101

prune334.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 21.6b

localize32.0ms

Local error

Found 4 expressions with local error:

2.8b	(/ x.re (/ (+ (* y.im y.im) (* y.re y.re)) y.im))
3.5b	(/ x.im (/ (+ (* y.im y.im) (* y.re y.re)) y.re))
17.2b	(/ (+ (* y.im y.im) (* y.re y.re)) y.im)
17.6b	(/ (+ (* y.im y.im) (* y.re y.re)) y.re)

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

168×	`times-frac`
104×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
32×	`associate-/r*`
18×	`add-cbrt-cube` `add-exp-log`
12×	`div-inv` `associate-/l*`
8×	`cbrt-undiv` `div-exp`
4×	`pow1` `clear-num` `frac-2neg` `add-log-exp` `associate-/l/`
2×	`flip3-+` `associate-/r/` `flip-+`

Counts

4 → 198

Calls

4 calls:

18.0ms	(/ x.re (/ (+ (* y.im y.im) (* y.re y.re)) y.im))
21.0ms	(/ x.im (/ (+ (* y.im y.im) (* y.re y.re)) y.re))
22.0ms	(/ (+ (* y.im y.im) (* y.re y.re)) y.im)
19.0ms	(/ (+ (* y.im y.im) (* y.re y.re)) y.re)

series223.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(/ x.re (/ (+ (* y.im y.im) (* y.re y.re)) y.im))
60.0ms	(/ x.im (/ (+ (* y.im y.im) (* y.re y.re)) y.re))
62.0ms	(/ (+ (* y.im y.im) (* y.re y.re)) y.im)
45.0ms	(/ (+ (* y.im y.im) (* y.re y.re)) y.re)

simplify1.3s

Counts

210 → 210

Iterations

Iter	Nodes
done	5000
2	4397
1	831
0	314

prune1.4s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 7.7b

localize23.0ms

Local error

Found 4 expressions with local error:

2.8b	(/ x.re (/ (+ (* y.im y.im) (* y.re y.re)) y.im))
3.5b	(/ x.im (+ y.re (/ (* y.im y.im) y.re)))
6.9b	(/ (* y.im y.im) y.re)
17.2b	(/ (+ (* y.im y.im) (* y.re y.re)) y.im)

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

99×	`times-frac`
73×	`*-un-lft-identity`
65×	`add-sqr-sqrt` `add-cube-cbrt`
23×	`associate-/r*`
18×	`add-cbrt-cube` `add-exp-log`
10×	`associate-/l*`
8×	`div-inv`
7×	`cbrt-undiv` `div-exp`
4×	`pow1` `clear-num` `frac-2neg` `distribute-lft-out` `add-log-exp`
3×	`associate-/r/`
2×	`flip3-+` `flip-+` `associate-/l/`
1×	`prod-exp` `cbrt-unprod`

Counts

4 → 153

Calls

4 calls:

12.0ms	(/ x.re (/ (+ (* y.im y.im) (* y.re y.re)) y.im))
13.0ms	(/ x.im (+ y.re (/ (* y.im y.im) y.re)))
8.0ms	(/ (* y.im y.im) y.re)
22.0ms	(/ (+ (* y.im y.im) (* y.re y.re)) y.im)

series163.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(/ x.re (/ (+ (* y.im y.im) (* y.re y.re)) y.im))
34.0ms	(/ x.im (+ y.re (/ (* y.im y.im) y.re)))
21.0ms	(/ (* y.im y.im) y.re)
55.0ms	(/ (+ (* y.im y.im) (* y.re y.re)) y.im)

simplify1.6s

Counts

165 → 165

Iterations

Iter	Nodes
done	5000
2	4221
1	693
0	261

prune982.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 5.9b

localize43.0ms

Local error

Found 4 expressions with local error:

2.8b	(/ x.re (+ (/ (* y.re y.re) y.im) y.im))
3.5b	(/ x.im (+ y.re (/ (* y.im y.im) y.re)))
6.2b	(/ (* y.re y.re) y.im)
6.9b	(/ (* y.im y.im) y.re)

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity`
30×	`times-frac`
26×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`add-cbrt-cube` `add-exp-log`
14×	`associate-/r*`
8×	`distribute-lft-out` `associate-/l*`
6×	`cbrt-undiv` `div-exp`
4×	`pow1` `clear-num` `frac-2neg` `associate-/r/` `div-inv` `add-log-exp`
2×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+`

Counts

4 → 108

Calls

4 calls:

29.0ms	(/ x.re (+ (/ (* y.re y.re) y.im) y.im))
19.0ms	(/ x.im (+ y.re (/ (* y.im y.im) y.re)))
11.0ms	(/ (* y.re y.re) y.im)
11.0ms	(/ (* y.im y.im) y.re)

series163.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(/ x.re (+ (/ (* y.re y.re) y.im) y.im))
49.0ms	(/ x.im (+ y.re (/ (* y.im y.im) y.re)))
28.0ms	(/ (* y.re y.re) y.im)
32.0ms	(/ (* y.im y.im) y.re)

simplify1.9s

Counts

120 → 120

Iterations

Iter	Nodes
done	5000
2	4171
1	495
0	187

prune655.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.3b

regimes438.0ms

Accuracy

17.2% (2.5b remaining)

Error of 4.9b against oracle of 2.4b and baseline of 5.5b

bsearch51.0ms

Steps

Iters	Range		Point
9	3.916681382280998e+73	1.2749906894155109e+82	4.8981004581326014e+76

simplify4.0ms

Iterations

Iter	Nodes
done	38
2	38
1	36
0	27

end0.0ms

sample1.1s

Algorithm

intervals

Results

634.0ms

8499×

body

valid