Details

sample38.0ms

Algorithm

intervals

Results

24.0ms

256×

body

valid

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	10
2	10
1	9
0	6

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(hypot re im)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

0.0ms

(hypot re im)

series89.0ms

Counts

1 → 3

Calls

1 calls:

88.0ms

(hypot re im)

simplify7.2s

Counts

13 → 13

Iterations

Iter	Nodes
10	7324
9	1555
8	499
7	204
6	97
5	58
4	38
3	30
2	25
1	22
0	17

prune99.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

2.0ms	(sqrt (hypot re im))
0.0ms	(hypot re im)
0.0ms	(hypot re im)
15.0ms	(* (sqrt (hypot re im)) (sqrt (hypot re im)))

series364.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(sqrt (hypot re im))
79.0ms	(hypot re im)
61.0ms	(hypot re im)
91.0ms	(* (sqrt (hypot re im)) (sqrt (hypot re im)))

simplify8.3s

Counts

98 → 98

Iterations

Iter	Nodes
5	5934
4	1846
3	762
2	364
1	178
0	86

prune736.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt (hypot re im)))
0.1b	(sqrt (sqrt (hypot re im)))
0.5b	(* (sqrt (hypot re im)) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))
0.5b	(* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

91×	`sqrt-pow1` `sqrt-prod`
69×	`pow1`
60×	`add-sqr-sqrt`
47×	`pow1/2`
39×	`pow-prod-up`
22×	`*-un-lft-identity` `add-cube-cbrt`
17×	`swap-sqr`
15×	`associate-l`
12×	`pow-prod-down`
11×	`add-cbrt-cube` `add-exp-log` `pow-sqr` `unswap-sqr`
10×	`associate-r`
4×	`expm1-log1p-u` `rem-sqrt-square` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-unprod`
2×	`*-commutative`
1×	`pow2` `rem-square-sqrt` `pow-plus`

Counts

4 → 167

Calls

4 calls:

2.0ms	(sqrt (sqrt (hypot re im)))
2.0ms	(sqrt (sqrt (hypot re im)))
25.0ms	(* (sqrt (hypot re im)) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))
11.0ms	(* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))

series495.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(sqrt (sqrt (hypot re im)))
164.0ms	(sqrt (sqrt (hypot re im)))
92.0ms	(* (sqrt (hypot re im)) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))
98.0ms	(* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))

simplify2.5s

Counts

179 → 179

Iterations

Iter	Nodes
4	4020
3	1588
2	714
1	364
0	154

prune1.6s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes94.0ms

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
1	3
0	3

end0.0ms

sample958.0ms

Algorithm

intervals

Results

748.0ms

8000×

body

valid