Details

sample151.0ms

Algorithm

intervals

Results

12.0ms	194×	body	80	valid
7.0ms	21×	body	2560	valid
4.0ms	17×	body	1280	valid
3.0ms	7×	body	5120	valid
2.0ms	9×	body	640	valid
1.0ms	7×	body	320	valid
0.0ms	1×	body	160	valid

simplify37.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	44
5	44
4	42
3	35
2	27
1	19
0	12

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.4b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

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:

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

series297.0ms

Counts

2 → 6

Calls

2 calls:

214.0ms	(sqrt (* (- (hypot re im) re) 2.0))
82.0ms	(- (hypot re im) re)

simplify2.2s

Counts

51 → 51

Iterations

Iter	Nodes
done	5001
3	1768
2	551
1	237
0	109

prune274.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 13.2b

localize49.0ms

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)

rewrite44.0ms

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))
10.0ms	(- (hypot re im) re)
10.0ms	(- (hypot re im) re)
10.0ms	(- (hypot re im) re)

series479.0ms

Counts

4 → 12

Calls

4 calls:

214.0ms	(cbrt (- (hypot re im) re))
98.0ms	(- (hypot re im) re)
96.0ms	(- (hypot re im) re)
72.0ms	(- (hypot re im) re)

simplify2.8s

Counts

117 → 117

Iterations

Iter	Nodes
done	5000
4	4898
3	1481
2	520
1	242
0	116

prune588.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 13.2b

localize59.0ms

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))

rewrite4.0ms

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))

series758.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt (hypot re im))
169.0ms	(cbrt (hypot re im))
193.0ms	(cbrt (hypot re im))
216.0ms	(fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (- re))

simplify2.1s

Counts

65 → 65

Iterations

Iter	Nodes
done	5000
4	1911
3	564
2	195
1	90
0	53

prune540.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 13.2b

localize22.0ms

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))

rewrite14.0ms

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:

2.0ms	(sqrt (hypot re im))
2.0ms	(sqrt (hypot re im))
8.0ms	(sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))
1.0ms	(fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))

series777.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(sqrt (hypot re im))
152.0ms	(sqrt (hypot re im))
298.0ms	(sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re)) 2.0))
183.0ms	(fma (sqrt (hypot re im)) (sqrt (hypot re im)) (- re))

simplify2.3s

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
3	2087
2	565
1	207
0	97

prune369.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 13.2b

regimes194.0ms

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

sample2.3s

Algorithm

intervals

Results

784.0ms	691×	body	2560	valid
766.0ms	6013×	body	80	valid
243.0ms	497×	body	1280	valid
176.0ms	295×	body	5120	valid
93.0ms	300×	body	640	valid
31.0ms	141×	body	320	valid
9.0ms	63×	body	160	valid