Details

sample1.0s

Algorithm

intervals

Results

763.0ms	257×	body	10240	exit
150.0ms	516×	body	80	nan
91.0ms	256×	body	80	valid

simplify1.8m

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

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize19.0ms

Local error

Found 2 expressions with local error:

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

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:

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

series239.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(hypot re im)
176.0ms	(/ (log (hypot re im)) (log base))

simplify950.0ms

Counts

56 → 56

Iterations

Iter	Nodes
4	2137
3	665
2	302
1	139
0	85

prune518.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
26×	`times-frac`
22×	`*-un-lft-identity`
21×	`add-cube-cbrt`
16×	`associate-r` `add-exp-log`
14×	`pow1`
10×	`add-cbrt-cube`
8×	`log-pow`
4×	`associate-/r` `div-exp` `associate-l*` `prod-exp`
3×	`expm1-log1p-u` `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-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

3 → 92

Calls

3 calls:

0.0ms	(hypot re im)
7.0ms	(/ 1 (log base))
20.0ms	(* (log (hypot re im)) (/ 1 (log base)))

series486.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(hypot re im)
238.0ms	(/ 1 (log base))
169.0ms	(* (log (hypot re im)) (/ 1 (log base)))

simplify3.5s

Counts

101 → 101

Iterations

Iter	Nodes
4	2317
3	1375
2	677
1	250
0	125

prune1.2s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite26.0ms

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:

0.0ms	(hypot re im)
9.0ms	(/ 1 (/ (log base) (log (hypot re im))))
14.0ms	(/ (log base) (log (hypot re im)))

series396.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(hypot re im)
180.0ms	(/ 1 (/ (log base) (log (hypot re im))))
166.0ms	(/ (log base) (log (hypot re im)))

simplify2.6s

Counts

166 → 166

Iterations

Iter	Nodes
3	2462
2	853
1	411
0	189

prune1.8s

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

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:

0.0ms	(hypot re im)
9.0ms	(/ 1 (log (hypot re im)))
5.0ms	(/ 1 (log base))
19.0ms	(/ (/ 1 (log base)) (/ 1 (log (hypot re im))))

series631.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(hypot re im)
112.0ms	(/ 1 (log (hypot re im)))
273.0ms	(/ 1 (log base))
188.0ms	(/ (/ 1 (log base)) (/ 1 (log (hypot re im))))

simplify32.5s

Counts

422 → 422

Iterations

Iter	Nodes
2	2645
1	1206
0	435

prune4.2s

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0.0b

regimes280.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
1	7
0	7

end0.0ms

sample35.5s

Algorithm

intervals

Results

26.6s	8004×	body	10240	exit
5.3s	16042×	body	80	nan
2.5s	8000×	body	80	valid