Details

sample86.0ms

Algorithm

intervals

Results

71.0ms

437×

body

valid

simplify1.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	2002
7	2002
6	1970
5	833
4	340
3	156
2	58
1	21
0	11

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.2b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x.re x.re) (* x.im x.im))
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)
6.3b	(* (- (* x.re x.re) (* x.im x.im)) x.re)

rewrite95.0ms

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

Counts

4 → 74

Calls

4 calls:

7.0ms	(- (* x.re x.re) (* x.im x.im))
37.0ms	(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
20.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.im)
30.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.re)

series232.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(- (* x.re x.re) (* x.im x.im))
79.0ms	(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
50.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.im)
63.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.re)

simplify1.4s

Counts

86 → 86

Iterations

Iter	Nodes
done	2013
3	2013
2	1613
1	412
0	143

prune385.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

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))

rewrite119.0ms

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:

7.0ms	(+ (* x.re x.im) (* x.im x.re))
41.0ms	(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
21.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.im)
47.0ms	(* (+ x.re x.im) (* (- x.re x.im) x.re))

series217.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ (* x.re x.im) (* x.im x.re))
59.0ms	(- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
52.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.im)
77.0ms	(* (+ x.re x.im) (* (- x.re x.im) x.re))

simplify967.0ms

Counts

102 → 102

Iterations

Iter	Nodes
done	2000
2	2000
1	725
0	202

prune564.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

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))

rewrite46.0ms

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:

37.0ms	(* (cbrt (+ x.re x.im)) (cbrt (+ x.re x.im)))
2.0ms	(cbrt (+ x.re x.im))
3.0ms	(cbrt (+ x.re x.im))
3.0ms	(cbrt (+ x.re x.im))

series750.0ms

Counts

4 → 12

Calls

4 calls:

233.0ms	(* (cbrt (+ x.re x.im)) (cbrt (+ x.re x.im)))
159.0ms	(cbrt (+ x.re x.im))
186.0ms	(cbrt (+ x.re x.im))
172.0ms	(cbrt (+ x.re x.im))

simplify1.8s

Counts

111 → 111

Iterations

Iter	Nodes
done	2000
4	2000
3	1705
2	650
1	277
0	118

prune747.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0b

localize56.0ms

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))

rewrite52.0ms

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:

42.0ms	(* (cbrt (+ x.re x.im)) (cbrt (+ x.re x.im)))
2.0ms	(cbrt (+ x.re x.im))
2.0ms	(cbrt (+ x.re x.im))
3.0ms	(cbrt (+ x.re x.im))

series818.0ms

Counts

4 → 12

Calls

4 calls:

256.0ms	(* (cbrt (+ x.re x.im)) (cbrt (+ x.re x.im)))
172.0ms	(cbrt (+ x.re x.im))
191.0ms	(cbrt (+ x.re x.im))
198.0ms	(cbrt (+ x.re x.im))

simplify1.3s

Counts

111 → 111

Iterations

Iter	Nodes
done	2000
4	2000
3	1705
2	650
1	277
0	118

prune581.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0b

regimes177.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	25
1	25
0	16

end0.0ms

sample2.4s

Algorithm

intervals

Results

2.0s

14337×

body

valid