Details

sample20.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	10
2	10
1	9
0	6

prune20.0ms

Pruning

2 alts after pruning (2 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` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 11

Calls

1 calls:

1.0ms

(hypot re im)

series79.0ms

Counts

1 → 3

Calls

1 calls:

79.0ms

(hypot re im)

simplify6.7s

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

prune69.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (hypot re im))
0.0b	(hypot re im)
0.0b	(hypot re im)
0.6b	(* (sqrt (hypot re im)) (sqrt (hypot re im)))

rewrite24.0ms

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:

2.0ms	(sqrt (hypot re im))
0.0ms	(hypot re im)
0.0ms	(hypot re im)
19.0ms	(* (sqrt (hypot re im)) (sqrt (hypot re im)))

series349.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(sqrt (hypot re im))
63.0ms	(hypot re im)
83.0ms	(hypot re im)
92.0ms	(* (sqrt (hypot re im)) (sqrt (hypot re im)))

simplify7.6s

Counts

102 → 102

Iterations

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

prune734.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(sqrt (sqrt (hypot re im)))
0.2b	(sqrt (sqrt (hypot re im)))
0.3b	(* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))))
0.3b	(* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

59×	`sqrt-pow1`
54×	`pow1`
52×	`sqrt-prod`
36×	`add-sqr-sqrt` `pow-prod-up`
35×	`pow1/2`
18×	`associate-l`
16×	`*-un-lft-identity` `add-cube-cbrt`
11×	`add-cbrt-cube` `add-exp-log`
10×	`pow-prod-down`
7×	`associate-r`
6×	`pow-plus` `unswap-sqr`
4×	`expm1-log1p-u` `rem-sqrt-square` `cube-unmult` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-unprod`
2×	`*-commutative`

Counts

4 → 140

Calls

4 calls:

2.0ms	(sqrt (sqrt (hypot re im)))
2.0ms	(sqrt (sqrt (hypot re im)))
41.0ms	(* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))))
23.0ms	(* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))

series515.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(sqrt (sqrt (hypot re im)))
165.0ms	(sqrt (sqrt (hypot re im)))
54.0ms	(* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))))
168.0ms	(* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))

simplify1.9s

Counts

152 → 152

Iterations

Iter	Nodes
4	3112
3	1839
2	892
1	301
0	130

prune1.3s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* re re) (* im im))
29.8b	(sqrt (+ (* re re) (* im im)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `add-log-exp`
3×	`pow1` `*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
2×	`expm1-log1p-u` `flip3-+` `add-cbrt-cube` `sqrt-div` `add-exp-log` `flip-+` `insert-posit16` `log1p-expm1-u`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `fma-def` `sqrt-pow1` `pow1/2` `hypot-def`

Counts

2 → 34

Calls

2 calls:

15.0ms	(+ (* re re) (* im im))
13.0ms	(sqrt (+ (* re re) (* im im)))

series119.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(+ (* re re) (* im im))
64.0ms	(sqrt (+ (* re re) (* im im)))

simplify5.9s

Counts

40 → 40

Iterations

Iter	Nodes
4	7590
3	1765
2	432
1	136
0	54

prune280.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes224.0ms

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

sample914.0ms

Algorithm

intervals

Results

704.0ms

8000×

body

valid