Details

sample31.0ms

Algorithm

intervals

Results

20.0ms

505×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

Useful iterations: 6 (983.0ms)

Iter	Nodes	Cost
0	11	19
1	23	18
2	58	17
3	151	16
4	395	12
5	939	11
6	2557	10
done	5000	10

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma (* -3 (* x.re x.im)) x.im (pow x.re 3))
0.2b	(* -3 (* x.re x.im))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`associate-r` `*-commutative` `fma-udef`

Counts

2 → 30

Calls

2 calls:

0.0ms	(fma (* -3 (* x.re x.im)) x.im (pow x.re 3))
6.0ms	(* -3 (* x.re x.im))

series66.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(fma (* -3 (* x.re x.im)) x.im (pow x.re 3))
17.0ms	(* -3 (* x.re x.im))

simplify3.9s

Counts

36 → 36

Iterations

Useful iterations: 3 (484.0ms)

Iter	Nodes	Cost
0	57	338
1	129	327
2	420	291
3	1339	282
4	4631	282
done	5000	282

prune82.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma (* (* -3 x.re) x.im) x.im (pow x.re 3))
0.2b	(* (* -3 x.re) x.im)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`associate-l` `*-commutative` `fma-udef`

Counts

2 → 30

Calls

2 calls:

0.0ms	(fma (* (* -3 x.re) x.im) x.im (pow x.re 3))
7.0ms	(* (* -3 x.re) x.im)

series63.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(fma (* (* -3 x.re) x.im) x.im (pow x.re 3))
18.0ms	(* (* -3 x.re) x.im)

simplify2.3s

Counts

36 → 36

Iterations

Useful iterations: 3 (616.0ms)

Iter	Nodes	Cost
0	60	341
1	136	328
2	539	286
3	2138	283
done	5000	283

prune92.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* -3 (* x.re x.im))) (cbrt (* -3 (* x.re x.im))))
14.5b	(cbrt (* -3 (* x.re x.im)))
14.5b	(cbrt (* -3 (* x.re x.im)))
14.5b	(cbrt (* -3 (* x.re x.im)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

8.0ms	(* (cbrt (* -3 (* x.re x.im))) (cbrt (* -3 (* x.re x.im))))
4.0ms	(cbrt (* -3 (* x.re x.im)))
4.0ms	(cbrt (* -3 (* x.re x.im)))
4.0ms	(cbrt (* -3 (* x.re x.im)))

series428.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(* (cbrt (* -3 (* x.re x.im))) (cbrt (* -3 (* x.re x.im))))
96.0ms	(cbrt (* -3 (* x.re x.im)))
98.0ms	(cbrt (* -3 (* x.re x.im)))
96.0ms	(cbrt (* -3 (* x.re x.im)))

simplify2.5s

Counts

78 → 78

Iterations

Useful iterations: 4 (1.5s)

Iter	Nodes	Cost
0	90	926
1	212	832
2	528	736
3	1484	656
4	4073	603
done	5001	603

prune254.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

8.1b	(* (pow x.im 2) (* -3 x.re))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-exp-log`
9×	`prod-exp`
8×	`associate-l`
6×	`add-cbrt-cube`
3×	`add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity` `cbrt-unprod`
2×	`pow-to-exp` `pow-exp`
1×	`pow1` `expm1-log1p-u` `associate-r` `*-commutative` `log1p-expm1-u` `unpow2` `add-log-exp` `sqr-pow`

Counts

1 → 27

Calls

1 calls:

9.0ms

(* (pow x.im 2) (* -3 x.re))

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

(* (pow x.im 2) (* -3 x.re))

simplify1.8s

Counts

30 → 30

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	55	285
1	143	256
2	504	225
3	1882	225
done	5001	225

prune59.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes86.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	10	10
done	10	10

end0.0ms

sample748.0ms

Algorithm

intervals

Results

528.0ms

14505×

body

valid