Details

sample28.0ms

Algorithm

intervals

Results

18.0ms

256×

body

valid

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	10
2	10
1	9
0	6

prune30.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

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` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 11

Calls

1 calls:

1.0ms

(hypot re im)

series77.0ms

Counts

1 → 3

Calls

1 calls:

77.0ms

(hypot re im)

simplify5.7s

Counts

14 → 14

Iterations

Iter	Nodes
10	7219
9	1466
8	494
7	205
6	98
5	59
4	39
3	31
2	26
1	23
0	18

prune91.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize23.0ms

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)))

rewrite26.0ms

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` `insert-posit16` `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 → 90

Calls

4 calls:

3.0ms	(sqrt (hypot re im))
1.0ms	(hypot re im)
0.0ms	(hypot re im)
20.0ms	(* (sqrt (hypot re im)) (sqrt (hypot re im)))

series334.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(sqrt (hypot re im))
54.0ms	(hypot re im)
85.0ms	(hypot re im)
82.0ms	(* (sqrt (hypot re im)) (sqrt (hypot re im)))

simplify8.3s

Counts

102 → 102

Iterations

Iter	Nodes
5	5731
4	1833
3	769
2	366
1	181
0	89

prune672.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im)))) (sqrt (cbrt (hypot re im))))
0.3b	(* (sqrt (hypot re im)) (fabs (cbrt (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`
12×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
11×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`sqrt-prod`
9×	`cbrt-prod`
7×	`associate-l`
4×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `*-commutative` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

31.0ms	(* (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im)))) (sqrt (cbrt (hypot re im))))
8.0ms	(* (sqrt (hypot re im)) (fabs (cbrt (hypot re im))))
1.0ms	(cbrt (hypot re im))
1.0ms	(cbrt (hypot re im))

series648.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(* (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im)))) (sqrt (cbrt (hypot re im))))
130.0ms	(* (sqrt (hypot re im)) (fabs (cbrt (hypot re im))))
173.0ms	(cbrt (hypot re im))
156.0ms	(cbrt (hypot re im))

simplify2.0s

Counts

92 → 92

Iterations

Iter	Nodes
3	3467
2	1030
1	340
0	139

prune1.0s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes96.0ms

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

sample815.0ms

Algorithm

intervals

Results

636.0ms

8000×

body

valid