Details

Time bar (total: 10.0m)

sample112.0ms

Algorithm
halfpoints

simplify4.1s

Counts
1 → 1
Iterations
IterNodes
done5001
84615
73127
61308
5586
4220
3107
249
120
011

prune29.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize291.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.p16 (+.p16 (*.p16 x.re x.im) (*.p16 x.im x.re)) x.re)
0.2b
(*.p16 (-.p16 (*.p16 x.re x.re) (*.p16 x.im x.im)) x.im)
0.3b
(+.p16 (*.p16 (-.p16 (*.p16 x.re x.re) (*.p16 x.im x.im)) x.im) (*.p16 (+.p16 (*.p16 x.re x.im) (*.p16 x.im x.re)) x.re))
0.3b
(-.p16 (*.p16 x.re x.re) (*.p16 x.im x.im))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
8×+p16-lft-identity-expand introduce-quire -p16-rgt-identity-expand +p16-rgt-identity-expand
7×associate-*l*
6×*p16-lft-identity-expand /p16-rgt-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
3×associate-*l/
2×associate-+l+ associate-+r+ associate--l+ p16-flip-- *-commutative associate--r+ difference-of-squares
1×associate--l- +-commutative insert-quire-sub associate-+r- sub-neg insert-quire-add insert-quire-fdp-add associate-+l- insert-quire-fdp-sub associate--r-
Counts
4 → 64
Calls
4 calls:
5.0ms
(*.p16 (+.p16 (*.p16 x.re x.im) (*.p16 x.im x.re)) x.re)
5.0ms
(*.p16 (-.p16 (*.p16 x.re x.re) (*.p16 x.im x.im)) x.im)
7.0ms
(+.p16 (*.p16 (-.p16 (*.p16 x.re x.re) (*.p16 x.im x.im)) x.im) (*.p16 (+.p16 (*.p16 x.re x.im) (*.p16 x.im x.re)) x.re))
7.0ms
(-.p16 (*.p16 x.re x.re) (*.p16 x.im x.im))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(*.p16 (+.p16 (*.p16 x.re x.im) (*.p16 x.im x.re)) x.re)
0.0ms
(*.p16 (-.p16 (*.p16 x.re x.re) (*.p16 x.im x.im)) x.im)
0.0ms
(+.p16 (*.p16 (-.p16 (*.p16 x.re x.re) (*.p16 x.im x.im)) x.im) (*.p16 (+.p16 (*.p16 x.re x.im) (*.p16 x.im x.re)) x.re))
0.0ms
(-.p16 (*.p16 x.re x.re) (*.p16 x.im x.im))

simplify1.5s

Counts
68 → 68
Iterations
IterNodes
done5002
31030
2244
179
041

prune804.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize226.0ms

Local error

Found 4 expressions with local error:

0.1b
(*.p16 (-.p16 x.re x.im) (+.p16 x.im x.re))
0.1b
(*.p16 x.im (+.p16 x.re x.re))
0.2b
(*.p16 x.im (*.p16 (-.p16 x.re x.im) (+.p16 x.im x.re)))
8.9b
(quire16-mul-add (posit16->quire16 (*.p16 x.im (*.p16 (-.p16 x.re x.im) (+.p16 x.im x.re)))) (*.p16 x.im (+.p16 x.re x.re)) x.re)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
9×/p16-rgt-identity-expand
8×distribute-rgt-in distribute-lft-in
7×associate-*r* associate-*r/
6×*p16-lft-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
5×+p16-lft-identity-expand +p16-rgt-identity-expand
4×associate-*l/
3×introduce-quire associate-*l* -p16-rgt-identity-expand *-commutative
2×p16-flip--
Counts
4 → 57
Calls
4 calls:
11.0ms
(*.p16 (-.p16 x.re x.im) (+.p16 x.im x.re))
3.0ms
(*.p16 x.im (+.p16 x.re x.re))
4.0ms
(*.p16 x.im (*.p16 (-.p16 x.re x.im) (+.p16 x.im x.re)))
0.0ms
(quire16-mul-add (posit16->quire16 (*.p16 x.im (*.p16 (-.p16 x.re x.im) (+.p16 x.im x.re)))) (*.p16 x.im (+.p16 x.re x.re)) x.re)

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(*.p16 (-.p16 x.re x.im) (+.p16 x.im x.re))
0.0ms
(*.p16 x.im (+.p16 x.re x.re))
0.0ms
(*.p16 x.im (*.p16 (-.p16 x.re x.im) (+.p16 x.im x.re)))
0.0ms
(quire16-mul-add (posit16->quire16 (*.p16 x.im (*.p16 (-.p16 x.re x.im) (+.p16 x.im x.re)))) (*.p16 x.im (+.p16 x.re x.re)) x.re)

simplify1.7s

Counts
61 → 61
Iterations
IterNodes
done5042
32224
2308
188
042

prune775.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize191.0ms

Local error

Found 4 expressions with local error:

0.1b
(*.p16 (-.p16 x.re x.im) (+.p16 x.im x.re))
0.2b
(+.p16 (*.p16 x.re x.im) (*.p16 x.re x.im))
0.2b
(*.p16 x.im (*.p16 (-.p16 x.re x.im) (+.p16 x.im x.re)))
8.9b
(quire16-mul-add (posit16->quire16 (*.p16 x.im (*.p16 (-.p16 x.re x.im) (+.p16 x.im x.re)))) (+.p16 (*.p16 x.re x.im) (*.p16 x.re x.im)) x.re)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
8×/p16-rgt-identity-expand
7×distribute-rgt-in distribute-lft-in +p16-lft-identity-expand +p16-rgt-identity-expand
6×associate-*r/
5×*p16-lft-identity-expand introduce-quire -p16-rgt-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
4×associate-*r* associate-*l/
3×associate-*l*
2×associate-+l+ associate-+r+ p16-flip-- *-commutative
1×+-commutative associate-+r- insert-quire-add p16-distribute-lft-out distribute-rgt-out insert-quire-fdp-add associate-+l- distribute-lft-out
Counts
4 → 62
Calls
4 calls:
3.0ms
(*.p16 (-.p16 x.re x.im) (+.p16 x.im x.re))
3.0ms
(+.p16 (*.p16 x.re x.im) (*.p16 x.re x.im))
4.0ms
(*.p16 x.im (*.p16 (-.p16 x.re x.im) (+.p16 x.im x.re)))
0.0ms
(quire16-mul-add (posit16->quire16 (*.p16 x.im (*.p16 (-.p16 x.re x.im) (+.p16 x.im x.re)))) (+.p16 (*.p16 x.re x.im) (*.p16 x.re x.im)) x.re)

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(*.p16 (-.p16 x.re x.im) (+.p16 x.im x.re))
0.0ms
(+.p16 (*.p16 x.re x.im) (*.p16 x.re x.im))
0.0ms
(*.p16 x.im (*.p16 (-.p16 x.re x.im) (+.p16 x.im x.re)))
0.0ms
(quire16-mul-add (posit16->quire16 (*.p16 x.im (*.p16 (-.p16 x.re x.im) (+.p16 x.im x.re)))) (+.p16 (*.p16 x.re x.im) (*.p16 x.re x.im)) x.re)

simplify1.9s

Counts
66 → 66
Iterations
IterNodes
done5002
31656
2300
190
045

prune869.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize287.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.p16 (+.p16 (*.p16 x.re x.im) (*.p16 x.im x.re)) x.re)
0.2b
(*.p16 (-.p16 x.re x.im) x.im)
0.2b
(*.p16 (+.p16 x.re x.im) (*.p16 (-.p16 x.re x.im) x.im))
0.3b
(+.p16 (*.p16 (+.p16 x.re x.im) (*.p16 (-.p16 x.re x.im) x.im)) (*.p16 (+.p16 (*.p16 x.re x.im) (*.p16 x.im x.re)) x.re))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
10×+p16-lft-identity-expand +p16-rgt-identity-expand
9×associate-*l* /p16-rgt-identity-expand
7×*p16-lft-identity-expand *p16-rgt-identity-expand p16-*-un-lft-identity
6×associate-+l+ introduce-quire -p16-rgt-identity-expand associate-*l/
4×distribute-rgt-in distribute-lft-in
3×associate-*r/ *-commutative
2×associate-+r+ p16-flip--
1×+-commutative associate-+r- insert-quire-add associate-*r* insert-quire-fdp-add associate-+l-
Counts
4 → 69
Calls
4 calls:
2.0ms
(*.p16 (+.p16 (*.p16 x.re x.im) (*.p16 x.im x.re)) x.re)
9.0ms
(*.p16 (-.p16 x.re x.im) x.im)
6.0ms
(*.p16 (+.p16 x.re x.im) (*.p16 (-.p16 x.re x.im) x.im))
5.0ms
(+.p16 (*.p16 (+.p16 x.re x.im) (*.p16 (-.p16 x.re x.im) x.im)) (*.p16 (+.p16 (*.p16 x.re x.im) (*.p16 x.im x.re)) x.re))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(*.p16 (+.p16 (*.p16 x.re x.im) (*.p16 x.im x.re)) x.re)
0.0ms
(*.p16 (-.p16 x.re x.im) x.im)
0.0ms
(*.p16 (+.p16 x.re x.im) (*.p16 (-.p16 x.re x.im) x.im))
0.0ms
(+.p16 (*.p16 (+.p16 x.re x.im) (*.p16 (-.p16 x.re x.im) x.im)) (*.p16 (+.p16 (*.p16 x.re x.im) (*.p16 x.im x.re)) x.re))

simplify1.2m

Counts
73 → 73
Iterations
IterNodes
done5046
32926
2274
185
039

prune907.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes373.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done11
011

end0.0ms

sample2.9s

Algorithm
halfpoints

end8.5m