Details

sample89.0ms

Algorithm

intervals

Results

26.0ms	188×	body	80	valid
14.0ms	16×	body	2560	valid
12.0ms	17×	body	1280	valid
11.0ms	11×	body	5120	valid
8.0ms	14×	body	640	valid
3.0ms	7×	body	320	valid
1.0ms	3×	body	160	valid

simplify16.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	31
3	31
2	29
1	24
0	12

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.3b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (* (+ (hypot re im) re) 2.0))
0.0b	(hypot re im)
1.1b	(+ (hypot re im) re)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `*-un-lft-identity`
5×	`add-log-exp`
4×	`add-sqr-sqrt` `add-cube-cbrt`
3×	`expm1-log1p-u` `fma-def` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
2×	`sqrt-pow1` `flip3-+` `sqrt-div` `associate-*l/` `flip-+`
1×	`+-commutative` `hypot-udef` `sum-log` `pow1/2` `pow-prod-down` `sqrt-prod` `distribute-lft-out`

Counts

3 → 45

Calls

3 calls:

12.0ms	(sqrt (* (+ (hypot re im) re) 2.0))
0.0ms	(hypot re im)
6.0ms	(+ (hypot re im) re)

series410.0ms

Counts

3 → 9

Calls

3 calls:

274.0ms	(sqrt (* (+ (hypot re im) re) 2.0))
65.0ms	(hypot re im)
71.0ms	(+ (hypot re im) re)

simplify1.0s

Counts

54 → 54

Iterations

Iter	Nodes
done	2000
4	2000
3	1412
2	487
1	190
0	89

prune559.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 14.1b

localize32.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (hypot re im))
0.5b	(cbrt (hypot re im))
0.5b	(cbrt (hypot re im))
9.9b	(+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 57

Calls

4 calls:

1.0ms	(cbrt (hypot re im))
1.0ms	(cbrt (hypot re im))
1.0ms	(cbrt (hypot re im))
18.0ms	(+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)

series505.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(cbrt (hypot re im))
174.0ms	(cbrt (hypot re im))
135.0ms	(cbrt (hypot re im))
76.0ms	(+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)

simplify1.2s

Counts

69 → 69

Iterations

Iter	Nodes
done	2001
4	2001
3	1337
2	430
1	153
0	65

prune766.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 14.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (hypot re im))
0.5b	(cbrt (hypot re im))
0.5b	(cbrt (hypot re im))
11.6b	(+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) re)

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 57

Calls

4 calls:

1.0ms	(cbrt (hypot re im))
1.0ms	(cbrt (hypot re im))
1.0ms	(cbrt (hypot re im))
44.0ms	(+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) re)

series605.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(cbrt (hypot re im))
165.0ms	(cbrt (hypot re im))
160.0ms	(cbrt (hypot re im))
84.0ms	(+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) re)

simplify1.4s

Counts

69 → 69

Iterations

Iter	Nodes
done	2054
4	2054
3	1900
2	544
1	165
0	67

prune1.0s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 14.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (hypot re im))
0.6b	(cbrt (sqrt (hypot re im)))
0.6b	(cbrt (sqrt (hypot re im)))
10.6b	(+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) re)

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

1.0ms	(cbrt (hypot re im))
2.0ms	(cbrt (sqrt (hypot re im)))
2.0ms	(cbrt (sqrt (hypot re im)))
56.0ms	(+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) re)

series580.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(cbrt (hypot re im))
165.0ms	(cbrt (sqrt (hypot re im)))
157.0ms	(cbrt (sqrt (hypot re im)))
84.0ms	(+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) re)

simplify1.1s

Counts

75 → 75

Iterations

Iter	Nodes
done	2008
3	2008
2	697
1	214
0	96

prune1.0s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 13.9b

regimes233.0ms

Accuracy

0% (0.3b remaining)

Error of 13.4b against oracle of 13.1b and baseline of 13.4b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	9

end0.0ms

sample2.6s

Algorithm

intervals

Results

805.0ms	5994×	body	80	valid
692.0ms	517×	body	1280	valid
573.0ms	694×	body	2560	valid
214.0ms	290×	body	5120	valid
121.0ms	286×	body	640	valid
70.0ms	147×	body	320	valid
14.0ms	72×	body	160	valid