Details

sample974.0ms

Algorithm

intervals

Results

699.0ms	255×	body	10240	exit
176.0ms	531×	body	80	nan
58.0ms	256×	body	80	valid

simplify2.4s

Counts: 1 → 1

prune34.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize26.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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

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

series241.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

157.0ms	(/ (log (hypot re im)) (log base))
83.0ms	(hypot re im)

simplify1.4s

Counts: 56 → 56

prune603.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

5.0b	(expm1 (log1p (hypot re im)))
0.4b	(/ (log (expm1 (log1p (hypot re im)))) (log base))
0.0b	(hypot re im)

rewrite9.0ms

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	(hypot re im)
0.0ms	(expm1 (log1p (hypot re im)))

series523.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

244.0ms	(/ (log (expm1 (log1p (hypot re im)))) (log base))
213.0ms	(expm1 (log1p (hypot re im)))
67.0ms	(hypot re im)

simplify916.0ms

Counts: 71 → 71

prune769.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

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)

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:

Slowest

11.0ms	(/ (log base) (log (hypot re im)))
8.0ms	(/ 1 (/ (log base) (log (hypot re im))))
0.0ms	(hypot re im)

series466.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

233.0ms	(/ (log base) (log (hypot re im)))
182.0ms	(/ 1 (/ (log base) (log (hypot re im))))
50.0ms	(hypot re im)

simplify914.0ms

Counts: 166 → 166

prune1.9s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

5.0b	(expm1 (log1p (hypot re im)))
0.3b	(/ (log base) (log (expm1 (log1p (hypot re im)))))
0.3b	(/ 1 (/ (log base) (log (expm1 (log1p (hypot re im))))))
0.0b	(hypot re im)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 169

Calls

4 calls:

Slowest

13.0ms	(/ (log base) (log (expm1 (log1p (hypot re im)))))
11.0ms	(/ 1 (/ (log base) (log (expm1 (log1p (hypot re im))))))
1.0ms	(expm1 (log1p (hypot re im)))
0.0ms	(hypot re im)

series608.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

204.0ms	(/ (log base) (log (expm1 (log1p (hypot re im)))))
189.0ms	(/ 1 (/ (log base) (log (expm1 (log1p (hypot re im))))))
134.0ms	(expm1 (log1p (hypot re im)))
80.0ms	(hypot re im)

simplify1.0s

Counts: 181 → 181

prune1.9s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

regimes348.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch3.0ms

end0.0ms

sample35.4s

Algorithm

intervals

Results

26.3s	8026×	body	10240	exit
5.2s	15753×	body	80	nan
2.9s	8000×	body	80	valid