Details

sample150.0ms

Algorithm

intervals

Results

69.0ms	254×	body	80	nan
58.0ms	256×	body	80	valid

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	2068
8	2068
7	666
6	215
5	80
4	75
3	51
2	36
1	26
0	18

prune29.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b	(hypot re im)
0.4b	(/ (log (hypot re im)) (log base))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

16×	`times-frac`
12×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cube-cbrt`
10×	`log-pow`
4×	`associate-/r` `add-cbrt-cube` `add-exp-log` `associate-/l`
2×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `hypot-udef` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

2 → 50

Calls

2 calls:

0.0ms	(hypot re im)
13.0ms	(/ (log (hypot re im)) (log base))

series246.0ms

Counts

2 → 6

Calls

2 calls:

85.0ms	(hypot re im)
161.0ms	(/ (log (hypot re im)) (log base))

simplify1.4s

Counts

56 → 56

Iterations

Iter	Nodes
done	2010
5	2010
4	1929
3	662
2	305
1	140
0	85

prune524.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(hypot re im)
0.3b	(/ 1 (/ (log base) (log (hypot re im))))
0.3b	(/ (log base) (log (hypot re im)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

140×	`times-frac`
70×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
46×	`pow1`
42×	`log-pow`
24×	`associate-/r*`
16×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`div-exp`
7×	`associate-/l*`
6×	`div-inv`
4×	`cbrt-undiv`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp`
1×	`hypot-udef` `associate-/r/` `pow-flip` `inv-pow`

Counts

3 → 157

Calls

3 calls:

0.0ms	(hypot re im)
13.0ms	(/ 1 (/ (log base) (log (hypot re im))))
7.0ms	(/ (log base) (log (hypot re im)))

series426.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(hypot re im)
186.0ms	(/ 1 (/ (log base) (log (hypot re im))))
177.0ms	(/ (log base) (log (hypot re im)))

simplify970.0ms

Counts

166 → 166

Iterations

Iter	Nodes
done	2001
3	2001
2	879
1	416
0	189

prune2.0s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b	(hypot re im)
0.3b	(* (/ 1 (log base)) (log (hypot re im)))
0.3b	(/ 1 (log base))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
26×	`times-frac`
24×	`*-un-lft-identity`
23×	`add-cube-cbrt`
16×	`associate-l` `add-exp-log`
14×	`pow1`
10×	`add-cbrt-cube`
8×	`log-pow`
6×	`log-prod`
4×	`associate-/r` `div-exp` `associate-r*` `prod-exp`
3×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `insert-posit16` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `div-inv`
1×	`hypot-udef` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `-commutative` `pow-flip` `inv-pow`

Counts

3 → 97

Calls

3 calls:

0.0ms	(hypot re im)
15.0ms	(* (/ 1 (log base)) (log (hypot re im)))
8.0ms	(/ 1 (log base))

series562.0ms

Counts

3 → 9

Calls

3 calls:

89.0ms	(hypot re im)
200.0ms	(* (/ 1 (log base)) (log (hypot re im)))
273.0ms	(/ 1 (log base))

simplify1.3s

Counts

106 → 106

Iterations

Iter	Nodes
done	2078
4	2078
3	1471
2	735
1	294
0	138

prune1.1s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(hypot re im)
0.3b	(/ 1 (* (log base) (/ 1 (log (hypot re im)))))
0.3b	(/ 1 (log (hypot re im)))
0.4b	(* (log base) (/ 1 (log (hypot re im))))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-exp-log`
31×	`add-sqr-sqrt`
29×	`times-frac`
25×	`*-un-lft-identity`
24×	`add-cube-cbrt`
20×	`add-cbrt-cube` `div-exp`
18×	`pow1`
16×	`associate-r` `prod-exp`
10×	`rec-exp` `1-exp`
8×	`log-pow`
6×	`cbrt-undiv` `associate-/l*`
5×	`associate-/r*`
4×	`expm1-log1p-u` `associate-l` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`div-inv` `pow-flip` `unswap-sqr`
2×	`clear-num` `frac-2neg` `pow-prod-down` `associate-*r/` `associate-/r/` `un-div-inv` `inv-pow`
1×	`hypot-udef` `*-commutative`

Counts

4 → 135

Calls

4 calls:

0.0ms	(hypot re im)
34.0ms	(/ 1 (* (log base) (/ 1 (log (hypot re im)))))
9.0ms	(/ 1 (log (hypot re im)))
22.0ms	(* (log base) (/ 1 (log (hypot re im))))

series562.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(hypot re im)
181.0ms	(/ 1 (* (log base) (/ 1 (log (hypot re im)))))
107.0ms	(/ 1 (log (hypot re im)))
219.0ms	(* (log base) (/ 1 (log (hypot re im))))

simplify872.0ms

Counts

147 → 147

Iterations

Iter	Nodes
done	2000
3	2000
2	868
1	371
0	170

prune1.4s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

regimes341.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	9

end0.0ms

sample4.6s

Algorithm

intervals

Results

2.1s	7915×	body	80	nan
2.1s	8000×	body	80	valid