Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

341×

body

valid

simplify8.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite3.0ms

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:

3.0ms

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

series37.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

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

simplify897.0ms

Counts

19 → 19

Iterations

Useful iterations: 4 (329.0ms)

Iter	Nodes	Cost
0	39	202
1	103	193
2	313	192
3	886	192
4	2035	187
done	5000	187

prune50.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

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:

0.0ms

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

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

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

simplify1.4s

Counts

13 → 13

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	21	114
1	28	114
2	50	100
3	166	100
4	616	100
5	2634	100
done	5000	100

prune35.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
1.0b	(cbrt (- (* x.re y.re) (* x.im y.im)))
1.0b	(cbrt (- (* x.re y.re) (* x.im y.im)))
1.0b	(cbrt (- (* x.re y.re) (* x.im y.im)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

19.0ms	(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
2.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
2.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
2.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))

series650.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
301.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
114.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
112.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))

simplify1.3s

Counts

107 → 107

Iterations

Useful iterations: 3 (501.0ms)

Iter	Nodes	Cost
0	133	2138
1	321	1959
2	994	1835
3	3323	1655
done	5001	1655

prune286.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x.re y.re) (* x.im y.im))
0.1b	(* (* (- (* x.re y.re) (* x.im y.im)) (- (* x.re y.re) (* x.im y.im))) (- (* x.re y.re) (* x.im y.im)))
0.3b	(* (- (* x.re y.re) (* x.im y.im)) (- (* x.re y.re) (* x.im y.im)))
36.7b	(cbrt (* (* (- (* x.re y.re) (* x.im y.im)) (- (* x.re y.re) (* x.im y.im))) (- (* x.re y.re) (* x.im y.im))))

rewrite89.0ms

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:

3.0ms	(- (* x.re y.re) (* x.im y.im))
36.0ms	(* (* (- (* x.re y.re) (* x.im y.im)) (- (* x.re y.re) (* x.im y.im))) (- (* x.re y.re) (* x.im y.im)))
17.0ms	(* (- (* x.re y.re) (* x.im y.im)) (- (* x.re y.re) (* x.im y.im)))
26.0ms	(cbrt (* (* (- (* x.re y.re) (* x.im y.im)) (- (* x.re y.re) (* x.im y.im))) (- (* x.re y.re) (* x.im y.im))))

series265.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(- (* x.re y.re) (* x.im y.im))
135.0ms	(* (* (- (* x.re y.re) (* x.im y.im)) (- (* x.re y.re) (* x.im y.im))) (- (* x.re y.re) (* x.im y.im)))
59.0ms	(* (- (* x.re y.re) (* x.im y.im)) (- (* x.re y.re) (* x.im y.im)))
37.0ms	(cbrt (* (* (- (* x.re y.re) (* x.im y.im)) (- (* x.re y.re) (* x.im y.im))) (- (* x.re y.re) (* x.im y.im))))

simplify744.0ms

Counts

169 → 169

Iterations

Useful iterations: 2 (177.0ms)

Iter	Nodes	Cost
0	214	5936
1	488	5375
2	2085	4323
done	5001	4323

prune332.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes180.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	12	7
2	14	7
done	14	7

end0.0ms

sample491.0ms

Algorithm

intervals

Results

234.0ms

10502×

body

valid