Details

sample164.0ms

Algorithm

intervals

Results

71.0ms	254×	body	80	nan
65.0ms	256×	body	80	valid

simplify2.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	2151
8	2151
7	1130
6	438
5	190
4	132
3	86
2	48
1	31
0	18

prune29.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize20.0ms

Local error

Found 1 expressions with local error:

0.3b	(/ (atan2 im re) (log base))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 34

Calls

1 calls:

9.0ms

(/ (atan2 im re) (log base))

series59.0ms

Counts

1 → 3

Calls

1 calls:

59.0ms

(/ (atan2 im re) (log base))

simplify1.3s

Counts

37 → 37

Iterations

Iter	Nodes
done	2006
5	2006
4	1860
3	649
2	274
1	111
0	65

prune320.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ 1 (/ (log base) (atan2 im re)))
0.3b	(/ (log base) (atan2 im re))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
60×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
19×	`pow1` `associate-/r*`
16×	`log-pow`
15×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`div-exp`
7×	`associate-/l*`
6×	`div-inv`
4×	`cbrt-undiv`
2×	`expm1-log1p-u` `rec-exp` `clear-num` `frac-2neg` `1-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/` `pow-flip` `inv-pow`

Counts

2 → 125

Calls

2 calls:

8.0ms	(/ 1 (/ (log base) (atan2 im re)))
6.0ms	(/ (log base) (atan2 im re))

series117.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(/ 1 (/ (log base) (atan2 im re)))
61.0ms	(/ (log base) (atan2 im re))

simplify858.0ms

Counts

131 → 131

Iterations

Iter	Nodes
done	2004
3	2004
2	1046
1	384
0	168

prune1.4s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.3b	(* (/ 1 (log base)) (atan2 im re))
0.3b	(/ 1 (log base))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
26×	`times-frac`
21×	`*-un-lft-identity`
20×	`add-cube-cbrt`
16×	`associate-l`
15×	`add-exp-log`
12×	`pow1`
9×	`add-cbrt-cube`
7×	`log-pow`
4×	`associate-/r*` `div-exp` `prod-exp`
3×	`associate-r` `associate-/l*` `unswap-sqr`
2×	`expm1-log1p-u` `cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `-commutative` `pow-flip` `inv-pow`

Counts

2 → 79

Calls

2 calls:

17.0ms	(* (/ 1 (log base)) (atan2 im re))
7.0ms	(/ 1 (log base))

series300.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(* (/ 1 (log base)) (atan2 im re))
240.0ms	(/ 1 (log base))

simplify955.0ms

Counts

85 → 85

Iterations

Iter	Nodes
done	2007
4	2007
3	1117
2	505
1	226
0	107

prune689.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (log base))
0.3b	(/ (/ 1 (log base)) (* (log base) (log base)))
0.5b	(* (log base) (log base))
0.7b	(cbrt (/ (/ 1 (log base)) (* (log base) (log base))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
46×	`add-sqr-sqrt` `*-un-lft-identity`
45×	`pow1`
44×	`add-cube-cbrt`
32×	`add-exp-log`
20×	`cbrt-prod` `add-cbrt-cube`
19×	`log-pow` `associate-/l*`
14×	`div-exp`
8×	`pow-div`
7×	`cbrt-undiv`
6×	`log-prod` `swap-sqr` `div-inv`
5×	`associate-/r*` `prod-exp` `pow-flip` `inv-pow`
4×	`expm1-log1p-u` `associate-r` `associate-l` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow2` `distribute-rgt-in` `rec-exp` `distribute-lft-in` `pow-plus` `1-exp` `pow-sqr` `pow-prod-up` `cbrt-unprod`
2×	`clear-num` `frac-2neg`
1×	`cbrt-div` `pow1/3` `pow-prod-down` `*-commutative` `unswap-sqr` `associate-/l/`

Counts

4 → 176

Calls

4 calls:

13.0ms	(/ 1 (log base))
13.0ms	(/ (/ 1 (log base)) (* (log base) (log base)))
7.0ms	(* (log base) (log base))
5.0ms	(cbrt (/ (/ 1 (log base)) (* (log base) (log base))))

series844.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(/ 1 (log base))
231.0ms	(/ (/ 1 (log base)) (* (log base) (log base)))
227.0ms	(* (log base) (log base))
198.0ms	(cbrt (/ (/ 1 (log base)) (* (log base) (log base))))

simplify1.1s

Counts

188 → 188

Iterations

Iter	Nodes
done	2011
3	2011
2	1476
1	454
0	199

prune1.8s

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0b

regimes311.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	10
1	10
0	8

end0.0ms

sample4.5s

Algorithm

intervals

Results

2.4s	8000×	body	80	valid
1.7s	7915×	body	80	nan