Details

sample30.0ms

Algorithm

intervals

Results

14.0ms

340×

body

valid

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	24
3	24
2	20
1	12
0	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `sub-neg` `*-un-lft-identity` `flip3--` `add-cbrt-cube` `fma-neg` `diff-log` `prod-diff` `add-exp-log` `add-cube-cbrt` `log1p-expm1-u` `flip--`

Counts

1 → 16

Calls

1 calls:

6.0ms

(- (* x.re y.re) (* x.im y.im))

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(- (* x.re y.re) (* x.im y.im))

simplify2.1s

Counts

19 → 19

Iterations

Iter	Nodes
done	5000
4	2232
3	962
2	322
1	107
0	39

prune80.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* y.im x.im) (* y.im x.im))
0.3b	(* (* x.re y.re) (* x.re y.re))
2.0b	(- (* (* (* x.re y.re) (* x.re y.re)) (* x.re y.re)) (* (* y.im x.im) (* (* y.im x.im) (* y.im x.im))))
36.4b	(/ (- (* (* (* x.re y.re) (* x.re y.re)) (* x.re y.re)) (* (* y.im x.im) (* (* y.im x.im) (* y.im x.im)))) (fma (fma x.re y.re (* y.im x.im)) (* x.re y.re) (* (* y.im x.im) (* y.im x.im))))

rewrite691.0ms

Algorithm

rewrite-expression-head

Rules

82×	`pow1`
34×	`pow-prod-down`
30×	`add-cbrt-cube` `add-exp-log`
16×	`prod-exp` `cbrt-unprod`
13×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`times-frac`
8×	`pow-sqr` `pow-prod-up`
6×	`add-log-exp`
5×	`difference-cubes` `cube-unmult` `pow3`
4×	`expm1-log1p-u` `pow-plus` `log1p-expm1-u` `associate-/l*`
3×	`associate-/r*`
2×	`pow2` `flip3--` `swap-sqr` `associate-r` `associate-l` `*-commutative` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `div-exp` `prod-diff` `div-inv`

Counts

4 → 125

Calls

4 calls:

25.0ms	(* (* y.im x.im) (* y.im x.im))
29.0ms	(* (* x.re y.re) (* x.re y.re))
150.0ms	(- (* (* (* x.re y.re) (* x.re y.re)) (* x.re y.re)) (* (* y.im x.im) (* (* y.im x.im) (* y.im x.im))))
480.0ms	(/ (- (* (* (* x.re y.re) (* x.re y.re)) (* x.re y.re)) (* (* y.im x.im) (* (* y.im x.im) (* y.im x.im)))) (fma (fma x.re y.re (* y.im x.im)) (* x.re y.re) (* (* y.im x.im) (* y.im x.im))))

series558.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (* y.im x.im) (* y.im x.im))
36.0ms	(* (* x.re y.re) (* x.re y.re))
260.0ms	(- (* (* (* x.re y.re) (* x.re y.re)) (* x.re y.re)) (* (* y.im x.im) (* (* y.im x.im) (* y.im x.im))))
225.0ms	(/ (- (* (* (* x.re y.re) (* x.re y.re)) (* x.re y.re)) (* (* y.im x.im) (* (* y.im x.im) (* y.im x.im)))) (fma (fma x.re y.re (* y.im x.im)) (* x.re y.re) (* (* y.im x.im) (* y.im x.im))))

simplify1.5s

Counts

137 → 137

Iterations

Iter	Nodes
done	5003
2	1895
1	456
0	174

prune697.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize82.0ms

Local error

Found 4 expressions with local error:

3.3b	(* (* x.re y.re) (* y.im x.im))
25.2b	(sqrt (fma (fma x.re y.re (* y.im x.im)) (* x.re y.re) (* (* y.im x.im) (* y.im x.im))))
25.2b	(sqrt (fma (fma x.re y.re (* y.im x.im)) (* x.re y.re) (* (* y.im x.im) (* y.im x.im))))
26.4b	(/ (+ (* (* x.re y.re) (* x.re y.re)) (+ (* (* y.im x.im) (* y.im x.im)) (* (* x.re y.re) (* y.im x.im)))) (sqrt (fma (fma x.re y.re (* y.im x.im)) (* x.re y.re) (* (* y.im x.im) (* y.im x.im)))))

rewrite246.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cube-cbrt`
18×	`pow1` `times-frac` `add-cbrt-cube` `add-exp-log` `sqrt-prod`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-/r*`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-/l*`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `associate-r` `associate-l` `*-commutative` `flip-+` `div-inv`

Counts

4 → 97

Calls

4 calls:

20.0ms	(* (* x.re y.re) (* y.im x.im))
1.0ms	(sqrt (fma (fma x.re y.re (* y.im x.im)) (* x.re y.re) (* (* y.im x.im) (* y.im x.im))))
1.0ms	(sqrt (fma (fma x.re y.re (* y.im x.im)) (* x.re y.re) (* (* y.im x.im) (* y.im x.im))))
222.0ms	(/ (+ (* (* x.re y.re) (* x.re y.re)) (+ (* (* y.im x.im) (* y.im x.im)) (* (* x.re y.re) (* y.im x.im)))) (sqrt (fma (fma x.re y.re (* y.im x.im)) (* x.re y.re) (* (* y.im x.im) (* y.im x.im)))))

series595.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (* x.re y.re) (* y.im x.im))
142.0ms	(sqrt (fma (fma x.re y.re (* y.im x.im)) (* x.re y.re) (* (* y.im x.im) (* y.im x.im))))
159.0ms	(sqrt (fma (fma x.re y.re (* y.im x.im)) (* x.re y.re) (* (* y.im x.im) (* y.im x.im))))
246.0ms	(/ (+ (* (* x.re y.re) (* x.re y.re)) (+ (* (* y.im x.im) (* y.im x.im)) (* (* x.re y.re) (* y.im x.im)))) (sqrt (fma (fma x.re y.re (* y.im x.im)) (* x.re y.re) (* (* y.im x.im) (* y.im x.im)))))

simplify1.9s

Counts

109 → 109

Iterations

Iter	Nodes
done	5043
2	1366
1	338
0	140

prune719.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes451.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
1	9
0	7

end0.0ms

sample1.1s

Algorithm

intervals

Results

462.0ms

10408×

body

valid