Details

sample1.0s

Algorithm

intervals

Results

769.0ms	259×	body	10240	exit
113.0ms	493×	body	80	nan
90.0ms	256×	body	80	valid

simplify2.8s

Counts: 1 → 1

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize28.0ms

Local error

Found 2 expressions with local error:

0.4b	(/ (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

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

series243.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

168.0ms	(/ (log (hypot re im)) (log base))
75.0ms	(hypot re im)

simplify1.1s

Counts: 56 → 56

prune606.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 3 expressions with local error:

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

rewrite32.0ms

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

15.0ms	(/ 1 (/ (log base) (log (hypot re im))))
13.0ms	(/ (log base) (log (hypot re im)))
0.0ms	(hypot re im)

series470.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

241.0ms	(/ (log base) (log (hypot re im)))
170.0ms	(/ 1 (/ (log base) (log (hypot re im))))
58.0ms	(hypot re im)

simplify990.0ms

Counts: 166 → 166

prune1.7s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite16.0ms

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

7.0ms	(/ 1 (/ (log base) (log (hypot re im))))
6.0ms	(/ (log base) (log (hypot re im)))
0.0ms	(hypot re im)

series394.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

168.0ms	(/ (log base) (log (hypot re im)))
153.0ms	(/ 1 (/ (log base) (log (hypot re im))))
73.0ms	(hypot re im)

simplify917.0ms

Counts: 166 → 166

prune1.7s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 410

Calls

4 calls:

Slowest

26.0ms	(/ (/ 1 (log base)) (/ 1 (log (hypot re im))))
4.0ms	(/ 1 (log base))
4.0ms	(/ 1 (log (hypot re im)))
0.0ms	(hypot re im)

series635.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

234.0ms	(/ 1 (log base))
209.0ms	(/ (/ 1 (log base)) (/ 1 (log (hypot re im))))
137.0ms	(/ 1 (log (hypot re im)))
54.0ms	(hypot re im)

simplify1.4s

Counts: 422 → 422

prune4.4s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0b

regimes408.0ms

Accuracy

0% (0.4b remaining)

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

bsearch2.0ms

end0.0ms

sample35.2s

Algorithm

intervals

Results

26.8s	7981×	body	10240	exit
4.7s	15779×	body	80	nan
2.7s	8000×	body	80	valid