Details

sample981.0ms

Algorithm

intervals

Results

768.0ms	252×	body	10240	exit
111.0ms	449×	body	80	nan
62.0ms	256×	body	80	valid

simplify3.3m

Counts: 1 → 1

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize26.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (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)

series231.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

147.0ms	(/ (log (hypot re im)) (log base))
84.0ms	(hypot re im)

simplify1.2s

Counts: 56 → 56

prune571.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite16.0ms

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:

Slowest

10.0ms	(* (log (hypot re im)) (/ 1 (log base)))
4.0ms	(/ 1 (log base))
0.0ms	(hypot re im)

series415.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

223.0ms	(/ 1 (log base))
138.0ms	(* (log (hypot re im)) (/ 1 (log base)))
55.0ms	(hypot re im)

simplify1.4s

Counts: 101 → 101

prune1.1s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

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

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

series446.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

197.0ms	(/ 1 (/ (log base) (log (hypot re im))))
186.0ms	(/ (log base) (log (hypot re im)))
63.0ms	(hypot re im)

simplify1.3s

Counts: 166 → 166

prune1.7s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-exp-log`
31×	`add-sqr-sqrt`
29×	`times-frac`
25×	`*-un-lft-identity`
24×	`add-cube-cbrt`
20×	`add-cbrt-cube` `div-exp`
18×	`pow1`
16×	`associate-r` `prod-exp`
10×	`rec-exp` `1-exp`
8×	`log-pow`
6×	`cbrt-undiv` `associate-/l*`
5×	`associate-/r*`
4×	`expm1-log1p-u` `associate-l` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`div-inv` `pow-flip` `unswap-sqr`
2×	`clear-num` `frac-2neg` `pow-prod-down` `associate-*r/` `associate-/r/` `un-div-inv` `inv-pow`
1×	`hypot-udef` `*-commutative`

Counts

4 → 135

Calls

4 calls:

Slowest

19.0ms	(/ 1 (* (log base) (/ 1 (log (hypot re im)))))
14.0ms	(* (log base) (/ 1 (log (hypot re im))))
4.0ms	(/ 1 (log (hypot re im)))
0.0ms	(hypot re im)

series602.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

202.0ms	(* (log base) (/ 1 (log (hypot re im))))
179.0ms	(/ 1 (* (log base) (/ 1 (log (hypot re im)))))
136.0ms	(/ 1 (log (hypot re im)))
83.0ms	(hypot re im)

simplify1.5s

Counts: 147 → 147

prune1.5s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0b

regimes526.0ms

Accuracy

0% (0.4b remaining)

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

bsearch1.0ms

end0.0ms

sample35.2s

Algorithm

intervals

Results

26.0s	8005×	body	10240	exit
6.0s	16103×	body	80	nan
2.2s	8000×	body	80	valid