Details

sample1.2s

Algorithm

intervals

Results

904.0ms	281×	body	10240	exit
118.0ms	457×	body	80	nan
96.0ms	256×	body	80	valid

simplify1.9s

Counts: 1 → 1

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize27.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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:

Slowest

12.0ms	(/ (log (hypot re im)) (log base))
0.0ms	(hypot re im)

series284.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

196.0ms	(/ (log (hypot re im)) (log base))
88.0ms	(hypot re im)

simplify1.2s

Counts: 56 → 56

prune680.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 3 expressions with local error:

4.5b	(expm1 (log1p (hypot re im)))
0.3b	(/ (log (expm1 (log1p (hypot re im)))) (log base))
0.0b	(hypot re im)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

Slowest

6.0ms	(/ (log (expm1 (log1p (hypot re im)))) (log base))
1.0ms	(expm1 (log1p (hypot re im)))
0.0ms	(hypot re im)

series520.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

287.0ms	(/ (log (expm1 (log1p (hypot re im)))) (log base))
153.0ms	(expm1 (log1p (hypot re im)))
80.0ms	(hypot re im)

simplify860.0ms

Counts: 71 → 71

prune768.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

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:

Slowest

10.0ms	(/ (log base) (log (hypot re im)))
7.0ms	(/ 1 (/ (log base) (log (hypot re im))))
0.0ms	(hypot re im)

series459.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

203.0ms	(/ 1 (/ (log base) (log (hypot re im))))
201.0ms	(/ (log base) (log (hypot re im)))
55.0ms	(hypot re im)

simplify1.0s

Counts: 166 → 166

prune2.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 3 expressions with local error:

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

rewrite35.0ms

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:

Slowest

24.0ms	(* (/ 1 (log base)) (log (hypot re im)))
9.0ms	(/ 1 (log base))
0.0ms	(hypot re im)

series446.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

210.0ms	(/ 1 (log base))
174.0ms	(* (/ 1 (log base)) (log (hypot re im)))
62.0ms	(hypot re im)

simplify1.8s

Counts: 106 → 106

prune913.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

regimes383.0ms

Accuracy

0% (0.4b remaining)

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

bsearch2.0ms

end0.0ms

sample35.6s

Algorithm

intervals

Results

27.1s	8135×	body	10240	exit
5.2s	15774×	body	80	nan
2.2s	8000×	body	80	valid