Details

sample208.0ms

Algorithm

intervals

Results

102.0ms	273×	body	80	nan
74.0ms	256×	body	80	valid

simplify1.7m

Counts

1 → 1

Iterations

Iter	Nodes
9	22032
8	1831
7	568
6	176
5	71
4	67
3	47
2	32
1	26
0	18

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 39

Calls

1 calls:

9.0ms

(/ (log (hypot re im)) (log base))

series165.0ms

Counts

1 → 3

Calls

1 calls:

165.0ms

(/ (log (hypot re im)) (log base))

simplify852.0ms

Counts

42 → 42

Iterations

Iter	Nodes
4	2281
3	671
2	282
1	121
0	72

prune388.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 146

Calls

2 calls:

19.0ms	(/ 1 (/ (log base) (log (hypot re im))))
14.0ms	(/ (log base) (log (hypot re im)))

series445.0ms

Counts

2 → 6

Calls

2 calls:

205.0ms	(/ 1 (/ (log base) (log (hypot re im))))
240.0ms	(/ (log base) (log (hypot re im)))

simplify2.7s

Counts

152 → 152

Iterations

Iter	Nodes
3	2657
2	854
1	393
0	176

prune851.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 124

Calls

3 calls:

16.0ms	(/ 1 (* (log base) (/ 1 (log (hypot re im)))))
4.0ms	(/ 1 (log (hypot re im)))
11.0ms	(* (log base) (/ 1 (log (hypot re im))))

series535.0ms

Counts

3 → 9

Calls

3 calls:

194.0ms	(/ 1 (* (log base) (/ 1 (log (hypot re im)))))
137.0ms	(/ 1 (log (hypot re im)))
204.0ms	(* (log base) (/ 1 (log (hypot re im))))

simplify22.7s

Counts

133 → 133

Iterations

Iter	Nodes
3	4352
2	1048
1	350
0	157

prune893.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 3 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

688×	`times-frac`
293×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
115×	`pow1`
110×	`log-pow`
51×	`add-exp-log`
37×	`div-inv`
36×	`div-exp`
24×	`associate-/r*`
22×	`associate-/l*`
19×	`add-cbrt-cube`
10×	`cbrt-undiv` `rec-exp` `1-exp`
3×	`expm1-log1p-u` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-flip` `inv-pow`
1×	`associate-/r/` `associate-/l/`

Counts

3 → 399

Calls

3 calls:

5.0ms	(/ 1 (log (hypot re im)))
5.0ms	(/ 1 (log base))
22.0ms	(/ (/ 1 (log base)) (/ 1 (log (hypot re im))))

series625.0ms

Counts

3 → 9

Calls

3 calls:

138.0ms	(/ 1 (log (hypot re im)))
278.0ms	(/ 1 (log base))
209.0ms	(/ (/ 1 (log base)) (/ 1 (log (hypot re im))))

simplify5.0s

Counts

408 → 408

Iterations

Iter	Nodes
2	2254
1	1188
0	422

prune1.5s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

regimes374.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
1	10
0	10

end0.0ms

sample5.2s

Algorithm

intervals

Results

2.5s	8000×	body	80	valid
2.2s	7969×	body	80	nan