Details

sample85.0ms

Algorithm

intervals

Results

69.0ms

462×

body

valid

simplify3.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	3015
6	1214
5	597
4	245
3	121
2	51
1	20
0	11

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.9b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x.re x.im) (* x.im x.re))
0.2b	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.2b	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
7.9b	(* (- (* x.re x.re) (* x.im x.im)) x.im)

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `associate-*l/`
8×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
7×	`associate-l`
6×	`associate-r`
5×	`flip3-+` `flip-+`
4×	`frac-add` `insert-posit16`
3×	`flip3--` `flip--`
2×	`+-commutative` `sum-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`difference-of-squares`

Counts

4 → 71

Calls

4 calls:

13.0ms	(+ (* x.re x.im) (* x.im x.re))
40.0ms	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
43.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
43.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.im)

series254.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (* x.re x.im) (* x.im x.re))
91.0ms	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
37.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
104.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.im)

simplify1.7s

Counts

83 → 83

Iterations

Iter	Nodes
done	5005
2	1701
1	410
0	139

prune392.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x.re x.im) (* x.im x.re))
0.2b	(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.2b	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
0.2b	(* (+ x.re x.im) (* (- x.re x.im) x.im))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

42×	`associate-*l/`
20×	`flip3-+` `flip-+`
16×	`frac-add`
12×	`frac-times`
11×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`add-sqr-sqrt` `*-un-lft-identity` `flip3--` `flip--`
8×	`add-log-exp`
7×	`associate-l` `add-cube-cbrt`
6×	`associate-*r/`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16`
2×	`+-commutative` `sum-log` `*-commutative`
1×	`distribute-lft-out` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

7.0ms	(+ (* x.re x.im) (* x.im x.re))
41.0ms	(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
18.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
55.0ms	(* (+ x.re x.im) (* (- x.re x.im) x.im))

series264.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ (* x.re x.im) (* x.im x.re))
115.0ms	(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
39.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
87.0ms	(* (+ x.re x.im) (* (- x.re x.im) x.im))

simplify4.2s

Counts

101 → 101

Iterations

Iter	Nodes
done	5037
2	4155
1	717
0	201

prune414.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x.re x.im)) (cbrt (+ x.re x.im)))
0.6b	(cbrt (+ x.re x.im))
0.6b	(cbrt (+ x.re x.im))
0.6b	(cbrt (+ x.re x.im))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 99

Calls

4 calls:

47.0ms	(* (cbrt (+ x.re x.im)) (cbrt (+ x.re x.im)))
5.0ms	(cbrt (+ x.re x.im))
5.0ms	(cbrt (+ x.re x.im))
5.0ms	(cbrt (+ x.re x.im))

series774.0ms

Counts

4 → 12

Calls

4 calls:

215.0ms	(* (cbrt (+ x.re x.im)) (cbrt (+ x.re x.im)))
203.0ms	(cbrt (+ x.re x.im))
172.0ms	(cbrt (+ x.re x.im))
184.0ms	(cbrt (+ x.re x.im))

simplify1.8s

Counts

111 → 111

Iterations

Iter	Nodes
done	5001
3	1705
2	650
1	277
0	118

prune699.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x.re x.im))
0.6b	(cbrt (+ x.re x.im))
0.6b	(cbrt (+ x.re x.im))
0.6b	(cbrt (* (cbrt (+ x.re x.im)) (cbrt (+ x.re x.im))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

26×	`cbrt-div`
13×	`cbrt-prod` `*-un-lft-identity`
9×	`flip3-+` `flip-+`
7×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`frac-times` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`distribute-lft-out`
2×	`associate-l/` `associate-r/`

Counts

4 → 63

Calls

4 calls:

2.0ms	(cbrt (+ x.re x.im))
3.0ms	(cbrt (+ x.re x.im))
2.0ms	(cbrt (+ x.re x.im))
22.0ms	(cbrt (* (cbrt (+ x.re x.im)) (cbrt (+ x.re x.im))))

series962.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(cbrt (+ x.re x.im))
191.0ms	(cbrt (+ x.re x.im))
197.0ms	(cbrt (+ x.re x.im))
408.0ms	(cbrt (* (cbrt (+ x.re x.im)) (cbrt (+ x.re x.im))))

simplify1.8s

Counts

75 → 75

Iterations

Iter	Nodes
done	5001
3	1586
2	562
1	229
0	115

prune574.0ms

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 0.0b

regimes260.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	17
1	17
0	11

end0.0ms

sample3.0s

Algorithm

intervals

Results

2.6s

14257×

body

valid