Details

sample102.0ms

Algorithm

intervals

Results

54.0ms	256×	body	80	valid
32.0ms	207×	body	80	nan

simplify4.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	1130
6	438
5	190
4	132
3	86
2	48
1	31
0	18

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

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:

5.0ms

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

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

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

simplify2.0s

Counts

37 → 37

Iterations

Iter	Nodes
done	5001
4	1860
3	649
2	274
1	111
0	65

prune154.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.1b	(log1p (expm1 (/ (atan2 im re) (log base))))
0.1b	(expm1 (/ (atan2 im re) (log base)))
0.3b	(/ (atan2 im re) (log base))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 59

Calls

3 calls:

0.0ms	(log1p (expm1 (/ (atan2 im re) (log base))))
0.0ms	(expm1 (/ (atan2 im re) (log base)))
5.0ms	(/ (atan2 im re) (log base))

series159.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(log1p (expm1 (/ (atan2 im re) (log base))))
63.0ms	(expm1 (/ (atan2 im re) (log base)))
36.0ms	(/ (atan2 im re) (log base))

simplify2.4s

Counts

68 → 68

Iterations

Iter	Nodes
done	5044
4	2534
3	750
2	345
1	150
0	91

prune275.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(log1p (expm1 (/ 1 (/ (log base) (atan2 im re)))))
0.1b	(expm1 (/ 1 (/ (log base) (atan2 im re))))
0.2b	(/ 1 (/ (log base) (atan2 im re)))
0.3b	(/ (log base) (atan2 im re))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
65×	`*-un-lft-identity`
64×	`add-sqr-sqrt` `add-cube-cbrt`
23×	`pow1`
22×	`associate-/r*`
18×	`log-pow`
17×	`add-exp-log`
13×	`associate-/l*`
11×	`add-cbrt-cube`
10×	`associate-/r/`
8×	`div-exp`
6×	`div-inv`
5×	`expm1-log1p-u` `log1p-expm1-u`
4×	`cbrt-undiv` `clear-num` `insert-posit16` `add-log-exp`
3×	`frac-2neg` `remove-double-div`
2×	`rec-exp` `1-exp` `log1p-expm1`
1×	`log1p-udef` `expm1-log1p` `pow-flip` `inv-pow` `expm1-udef`

Counts

4 → 162

Calls

4 calls:

0.0ms	(log1p (expm1 (/ 1 (/ (log base) (atan2 im re)))))
0.0ms	(expm1 (/ 1 (/ (log base) (atan2 im re))))
13.0ms	(/ 1 (/ (log base) (atan2 im re)))
7.0ms	(/ (log base) (atan2 im re))

series349.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(log1p (expm1 (/ 1 (/ (log base) (atan2 im re)))))
107.0ms	(expm1 (/ 1 (/ (log base) (atan2 im re))))
65.0ms	(/ 1 (/ (log base) (atan2 im re)))
65.0ms	(/ (log base) (atan2 im re))

simplify2.0s

Counts

174 → 174

Iterations

Iter	Nodes
done	5000
3	3006
2	1099
1	434
0	200

prune602.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 91

Calls

2 calls:

25.0ms	(* (atan2 im re) (/ 1 (log base)))
7.0ms	(/ 1 (log base))

series285.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(* (atan2 im re) (/ 1 (log base)))
243.0ms	(/ 1 (log base))

simplify3.7s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
4	2134
3	1056
2	613
1	235
0	109

prune305.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes588.0ms

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
done	8
0	8

end0.0ms

sample5.5s

Algorithm

intervals

Results

2.6s	7974×	body	80	nan
2.3s	8000×	body	80	valid