Details

sample1.1s

Algorithm

intervals

Results

809.0ms	273×	body	10240	exit
185.0ms	565×	body	80	nan
60.0ms	256×	body	80	valid

simplify35.5s

Counts

1 → 1

Iterations

Iter	Nodes
9	12708
8	1233
7	451
6	182
5	72
4	67
3	47
2	32
1	26
0	18

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize21.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

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:

7.0ms

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

series160.0ms

Counts

1 → 3

Calls

1 calls:

160.0ms

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

simplify594.0ms

Counts

42 → 42

Iterations

Iter	Nodes
4	2022
3	649
2	283
1	122
0	72

prune342.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
26×	`times-frac`
21×	`*-un-lft-identity`
20×	`add-cube-cbrt`
16×	`associate-r`
15×	`add-exp-log`
13×	`pow1`
9×	`add-cbrt-cube`
8×	`log-pow`
4×	`associate-/r` `div-exp` `associate-l*` `prod-exp`
3×	`associate-/l*` `unswap-sqr`
2×	`expm1-log1p-u` `cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

2 → 81

Calls

2 calls:

5.0ms	(/ 1 (log base))
12.0ms	(* (log (hypot re im)) (/ 1 (log base)))

series302.0ms

Counts

2 → 6

Calls

2 calls:

172.0ms	(/ 1 (log base))
130.0ms	(* (log (hypot re im)) (/ 1 (log base)))

simplify1.2s

Counts

87 → 87

Iterations

Iter	Nodes
4	2578
3	1404
2	777
1	233
0	112

prune851.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

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)))

rewrite19.0ms

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:

7.0ms	(/ 1 (/ (log base) (log (hypot re im))))
6.0ms	(/ (log base) (log (hypot re im)))

series364.0ms

Counts

2 → 6

Calls

2 calls:

186.0ms	(/ 1 (/ (log base) (log (hypot re im))))
178.0ms	(/ (log base) (log (hypot re im)))

simplify1.1s

Counts

152 → 152

Iterations

Iter	Nodes
3	2515
2	917
1	394
0	176

prune1.6s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0b

localize28.0ms

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))))

rewrite56.0ms

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:

8.0ms	(/ 1 (log (hypot re im)))
8.0ms	(/ 1 (log base))
19.0ms	(/ (/ 1 (log base)) (/ 1 (log (hypot re im))))

series583.0ms

Counts

3 → 9

Calls

3 calls:

128.0ms	(/ 1 (log (hypot re im)))
241.0ms	(/ 1 (log base))
214.0ms	(/ (/ 1 (log base)) (/ 1 (log (hypot re im))))

simplify848.0ms

Counts

408 → 408

Iterations

Iter	Nodes
2	2258
1	1189
0	422

prune4.9s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0b

regimes436.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
2	12
1	12
0	9

end0.0ms

sample36.4s

Algorithm

intervals

Results

27.5s	8136×	body	10240	exit
5.4s	16150×	body	80	nan
2.5s	8000×	body	80	valid