Details

sample14.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	1
1	11	1
2	11	1
done	11	1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(hypot re im)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

0.0ms

(hypot re im)

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

(hypot re im)

simplify95.0ms

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	22	27
1	25	24
2	29	24
3	34	24
4	53	24
5	107	24
6	513	24
7	1687	24
8	5001	24
done	5001	24

prune30.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(hypot re im)
0.0b	(hypot re im)
0.5b	(* (sqrt (hypot re im)) (sqrt (hypot re im)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
18×	`pow1` `sqrt-prod`
11×	`add-cube-cbrt` `*-un-lft-identity`
8×	`sqrt-pow1` `pow1/2` `swap-sqr`
6×	`associate-r` `associate-l`
5×	`add-exp-log` `pow-prod-up` `add-cbrt-cube`
4×	`unswap-sqr`
3×	`expm1-log1p-u` `pow-prod-down` `pow-sqr` `log1p-expm1-u` `add-log-exp`
2×	`hypot-udef`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

3 → 71

Calls

3 calls:

0.0ms	(hypot re im)
0.0ms	(hypot re im)
13.0ms	(* (sqrt (hypot re im)) (sqrt (hypot re im)))

series144.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(hypot re im)
46.0ms	(hypot re im)
51.0ms	(* (sqrt (hypot re im)) (sqrt (hypot re im)))

simplify142.0ms

Counts

80 → 80

Iterations

Useful iterations: 3 (137.0ms)

Iter	Nodes	Cost
0	102	219
1	373	190
2	2206	182
3	5001	174
done	5001	174

prune125.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (fabs (cbrt (hypot re im))) (sqrt (hypot re im))) (sqrt (cbrt (hypot re im))))
0.3b	(* (fabs (cbrt (hypot re im))) (sqrt (hypot re im)))
0.6b	(cbrt (hypot re im))
0.6b	(cbrt (hypot re im))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
15×	`associate-r`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`sqrt-prod`
9×	`cbrt-prod`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `*-commutative` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

29.0ms	(* (* (fabs (cbrt (hypot re im))) (sqrt (hypot re im))) (sqrt (cbrt (hypot re im))))
9.0ms	(* (fabs (cbrt (hypot re im))) (sqrt (hypot re im)))
1.0ms	(cbrt (hypot re im))
1.0ms	(cbrt (hypot re im))

series481.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(* (* (fabs (cbrt (hypot re im))) (sqrt (hypot re im))) (sqrt (cbrt (hypot re im))))
130.0ms	(* (fabs (cbrt (hypot re im))) (sqrt (hypot re im)))
107.0ms	(cbrt (hypot re im))
109.0ms	(cbrt (hypot re im))

simplify44.0ms

Counts

88 → 88

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	321	737
1	1446	653
2	5001	635
done	5001	635

prune225.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes24.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	1
1	3	1
done	3	1

end0.0ms

sample403.0ms

Algorithm

intervals

Results

198.0ms

8000×

body

valid