Details

sample212.0ms

Algorithm

intervals

Results

79.0ms	194×	body	80	valid
19.0ms	21×	body	2560	valid
13.0ms	17×	body	1280	valid
8.0ms	7×	body	5120	valid
5.0ms	9×	body	640	valid
3.0ms	7×	body	320	valid
0.0ms	1×	body	160	valid

simplify61.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	45
5	45
4	43
3	36
2	28
1	19
0	12

prune40.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.4b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(sqrt (* (- (hypot re im) re) 2.0))
0.5b	(- (hypot re im) re)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`prod-diff` `add-cube-cbrt`
5×	`pow1`
4×	`add-log-exp`
3×	`fma-neg`
2×	`expm1-log1p-u` `sqrt-pow1` `flip3--` `add-cbrt-cube` `sqrt-div` `associate-*l/` `add-exp-log` `insert-posit16` `log1p-expm1-u` `flip--`
1×	`sub-neg` `pow1/2` `diff-log` `pow-prod-down` `sqrt-prod` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 45

Calls

2 calls:

8.0ms	(sqrt (* (- (hypot re im) re) 2.0))
7.0ms	(- (hypot re im) re)

series339.0ms

Counts

2 → 6

Calls

2 calls:

258.0ms	(sqrt (* (- (hypot re im) re) 2.0))
81.0ms	(- (hypot re im) re)

simplify3.0s

Counts

51 → 51

Iterations

Iter	Nodes
done	5000
3	2125
2	577
1	237
0	109

prune208.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 13.2b

localize50.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (- (hypot re im) re))
0.5b	(- (hypot re im) re)
0.5b	(- (hypot re im) re)
0.5b	(- (hypot re im) re)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt` `*-un-lft-identity`
27×	`prod-diff`
26×	`add-cube-cbrt`
10×	`add-log-exp`
9×	`fma-neg`
5×	`cbrt-prod`
4×	`expm1-log1p-u` `pow1` `flip3--` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `flip--` `distribute-lft-out--` `difference-of-squares`
3×	`sub-neg` `diff-log`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 105

Calls

4 calls:

6.0ms	(cbrt (- (hypot re im) re))
11.0ms	(- (hypot re im) re)
10.0ms	(- (hypot re im) re)
10.0ms	(- (hypot re im) re)

series541.0ms

Counts

4 → 12

Calls

4 calls:

267.0ms	(cbrt (- (hypot re im) re))
79.0ms	(- (hypot re im) re)
85.0ms	(- (hypot re im) re)
110.0ms	(- (hypot re im) re)

simplify1.7s

Counts

117 → 117

Iterations

Iter	Nodes
done	5002
3	1813
2	557
1	242
0	116

prune564.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 13.2b

localize52.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (hypot re im))
0.6b	(cbrt (hypot re im))
0.6b	(cbrt (hypot re im))
15.1b	(fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`fma-udef`

Counts

4 → 53

Calls

4 calls:

1.0ms	(cbrt (hypot re im))
1.0ms	(cbrt (hypot re im))
1.0ms	(cbrt (hypot re im))
0.0ms	(fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re))

series662.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(cbrt (hypot re im))
138.0ms	(cbrt (hypot re im))
172.0ms	(cbrt (hypot re im))
225.0ms	(fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re))

simplify2.0s

Counts

65 → 65

Iterations

Iter	Nodes
done	5010
4	2096
3	615
2	199
1	90
0	53

prune587.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 13.2b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (hypot re im))
0.0b	(sqrt (hypot re im))
0.0b	(sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))
15.3b	(fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1`
8×	`add-sqr-sqrt`
7×	`sqrt-prod`
6×	`*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `sqrt-pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/2`
2×	`rem-sqrt-square`
1×	`pow-prod-down` `fma-udef`

Counts

4 → 57

Calls

4 calls:

1.0ms	(sqrt (hypot re im))
1.0ms	(sqrt (hypot re im))
4.0ms	(sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))
0.0ms	(fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))

series1.2s

Counts

4 → 12

Calls

4 calls:

128.0ms	(sqrt (hypot re im))
120.0ms	(sqrt (hypot re im))
312.0ms	(sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))
672.0ms	(fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))

simplify3.2s

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
3	2363
2	580
1	207
0	97

prune362.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 13.2b

regimes216.0ms

Accuracy

0% (0.2b remaining)

Error of 13.3b against oracle of 13.1b and baseline of 13.3b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	11
1	11
0	9

end0.0ms

sample2.9s

Algorithm

intervals

Results

920.0ms	6013×	body	80	valid
775.0ms	497×	body	1280	valid
551.0ms	691×	body	2560	valid
261.0ms	295×	body	5120	valid
132.0ms	300×	body	640	valid
46.0ms	141×	body	320	valid
12.0ms	63×	body	160	valid