Details

sample98.0ms

Algorithm

intervals

Results

79.0ms

478×

body

valid

simplify4.2s

Counts

1 → 1

Iterations

Iter	Nodes
7	5608
6	1904
5	785
4	304
3	150
2	58
1	21
0	11

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.8b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x.re x.im) (* x.im x.re))
0.1b	(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
0.1b	(* (+ (* x.re x.im) (* x.im x.re)) x.im)
4.8b	(* (- (* x.re x.re) (* x.im x.im)) x.re)

rewrite123.0ms

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`
4×	`flip3-+` `flip3--` `frac-sub` `flip-+` `insert-posit16` `flip--`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `sum-log` `sub-neg` `diff-log` `difference-of-squares`

Counts

4 → 72

Calls

4 calls:

15.0ms	(+ (* x.re x.im) (* x.im x.re))
57.0ms	(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
26.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.im)
23.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.re)

series222.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ (* x.re x.im) (* x.im x.re))
64.0ms	(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
53.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.im)
70.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.re)

simplify4.4s

Counts

84 → 84

Iterations

Iter	Nodes
3	9129
2	1745
1	405
0	140

prune788.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x.re x.im) (* x.im x.re))
0.1b	(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
0.1b	(* (+ (* x.re x.im) (* x.im x.re)) x.im)
0.2b	(* (+ x.re x.im) (* (- x.re x.im) x.re))

rewrite169.0ms

Algorithm

rewrite-expression-head

Rules

42×	`associate-*l/`
19×	`flip3-+` `flip-+`
16×	`frac-sub`
12×	`frac-times`
11×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`flip3--` `flip--`
9×	`add-sqr-sqrt` `*-un-lft-identity`
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`
1×	`+-commutative` `sum-log` `sub-neg` `diff-log` `distribute-lft-out` `unswap-sqr`

Counts

4 → 90

Calls

4 calls:

8.0ms	(+ (* x.re x.im) (* x.im x.re))
72.0ms	(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
19.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.im)
68.0ms	(* (+ x.re x.im) (* (- x.re x.im) x.re))

series263.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ (* x.re x.im) (* x.im x.re))
89.0ms	(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
40.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.im)
96.0ms	(* (+ x.re x.im) (* (- x.re x.im) x.re))

simplify1.4s

Counts

102 → 102

Iterations

Iter	Nodes
2	4325
1	725
0	202

prune955.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize54.0ms

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))

rewrite57.0ms

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:

39.0ms	(* (cbrt (+ x.re x.im)) (cbrt (+ x.re x.im)))
5.0ms	(cbrt (+ x.re x.im))
6.0ms	(cbrt (+ x.re x.im))
5.0ms	(cbrt (+ x.re x.im))

series787.0ms

Counts

4 → 12

Calls

4 calls:

253.0ms	(* (cbrt (+ x.re x.im)) (cbrt (+ x.re x.im)))
194.0ms	(cbrt (+ x.re x.im))
163.0ms	(cbrt (+ x.re x.im))
176.0ms	(cbrt (+ x.re x.im))

simplify1.9s

Counts

111 → 111

Iterations

Iter	Nodes
4	4391
3	1655
2	645
1	269
0	118

prune1.4s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

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))

rewrite67.0ms

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:

49.0ms	(* (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))

series823.0ms

Counts

4 → 12

Calls

4 calls:

252.0ms	(* (cbrt (+ x.re x.im)) (cbrt (+ x.re x.im)))
209.0ms	(cbrt (+ x.re x.im))
192.0ms	(cbrt (+ x.re x.im))
169.0ms	(cbrt (+ x.re x.im))

simplify1.9s

Counts

111 → 111

Iterations

Iter	Nodes
4	4391
3	1655
2	645
1	269
0	118

prune1.5s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes136.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	16
1	16
0	11

end0.0ms

sample2.9s

Algorithm

intervals

Results

2.5s

14402×

body

valid