Details

sample46.0ms

Algorithm

intervals

Results

18.0ms

341×

body

valid

simplify23.0ms

Counts

1 → 1

Iterations

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 1 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 16

Calls

1 calls:

17.0ms

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

series81.0ms

Counts

1 → 3

Calls

1 calls:

81.0ms

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

simplify4.1s

Counts

19 → 19

Iterations

Iter	Nodes
done	5001
4	2237
3	950
2	323
1	107
0	39

prune127.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

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

series89.0ms

Counts

1 → 3

Calls

1 calls:

89.0ms

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

simplify5.8s

Counts

13 → 13

Iterations

Iter	Nodes
done	5000
6	4056
5	890
4	254
3	91
2	46
1	31
0	21

prune121.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y.re x.re) (* x.im y.im))
0.2b	(* (* (- (* y.re x.re) (* x.im y.im)) (- (* y.re x.re) (* x.im y.im))) (- (* y.re x.re) (* x.im y.im)))
0.2b	(* (- (* y.re x.re) (* x.im y.im)) (- (* y.re x.re) (* x.im y.im)))
34.2b	(cbrt (* (* (- (* y.re x.re) (* x.im y.im)) (- (* y.re x.re) (* x.im y.im))) (- (* y.re x.re) (* x.im y.im))))

rewrite487.0ms

Algorithm

rewrite-expression-head

Rules

61×	`flip3--` `flip--`
60×	`frac-times`
30×	`pow1` `associate-*l/`
26×	`cbrt-div`
18×	`associate-*r/`
12×	`add-sqr-sqrt`
11×	`add-exp-log` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow-plus` `pow-prod-up`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `add-log-exp`
5×	`sub-neg` `prod-diff`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
3×	`pow2` `swap-sqr` `pow-sqr`
2×	`pow3` `*-commutative` `unswap-sqr`
1×	`cbrt-prod` `fma-neg` `pow1/3` `diff-log` `rem-cbrt-cube`

Counts

4 → 157

Calls

4 calls:

18.0ms	(- (* y.re x.re) (* x.im y.im))
205.0ms	(* (* (- (* y.re x.re) (* x.im y.im)) (- (* y.re x.re) (* x.im y.im))) (- (* y.re x.re) (* x.im y.im)))
92.0ms	(* (- (* y.re x.re) (* x.im y.im)) (- (* y.re x.re) (* x.im y.im)))
156.0ms	(cbrt (* (* (- (* y.re x.re) (* x.im y.im)) (- (* y.re x.re) (* x.im y.im))) (- (* y.re x.re) (* x.im y.im))))

series609.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(- (* y.re x.re) (* x.im y.im))
282.0ms	(* (* (- (* y.re x.re) (* x.im y.im)) (- (* y.re x.re) (* x.im y.im))) (- (* y.re x.re) (* x.im y.im)))
135.0ms	(* (- (* y.re x.re) (* x.im y.im)) (- (* y.re x.re) (* x.im y.im)))
103.0ms	(cbrt (* (* (- (* y.re x.re) (* x.im y.im)) (- (* y.re x.re) (* x.im y.im))) (- (* y.re x.re) (* x.im y.im))))

simplify3.5s

Counts

169 → 169

Iterations

Iter	Nodes
done	5006
2	2384
1	558
0	213

prune1.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes421.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	14
2	14
1	12
0	7

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.1s

10427×

body

valid