Details

sample138.0ms

Algorithm

intervals

Results

61.0ms	223×	body	80	nan
54.0ms	256×	body	80	valid

simplify861.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2011
7	1130
6	438
5	190
4	132
3	86
2	48
1	31
0	18

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite5.0ms

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:

4.0ms

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

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

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

simplify781.0ms

Counts

37 → 37

Iterations

Iter	Nodes
done	2004
4	1860
3	649
2	274
1	111
0	65

prune179.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

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))

series96.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(/ 1 (/ (log base) (atan2 im re)))
46.0ms	(/ (log base) (atan2 im re))

simplify686.0ms

Counts

131 → 131

Iterations

Iter	Nodes
done	2000
2	1046
1	384
0	168

prune364.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

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:

7.0ms	(/ 1 (log base))
18.0ms	(* (/ 1 (log base)) (atan2 im re))

series244.0ms

Counts

2 → 6

Calls

2 calls:

187.0ms	(/ 1 (log base))
57.0ms	(* (/ 1 (log base)) (atan2 im re))

simplify758.0ms

Counts

85 → 85

Iterations

Iter	Nodes
done	2000
3	1278
2	552
1	225
0	107

prune247.0ms

Pruning

15 alts after pruning (12 fresh and 3 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 184

Calls

4 calls:

22.0ms	(* (cbrt (/ (/ 1 (log base)) (* (log base) (log base)))) (atan2 im re))
17.0ms	(/ (/ 1 (log base)) (* (log base) (log base)))
9.0ms	(* (log base) (log base))
6.0ms	(cbrt (/ (/ 1 (log base)) (* (log base) (log base))))

series712.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (cbrt (/ (/ 1 (log base)) (* (log base) (log base)))) (atan2 im re))
235.0ms	(/ (/ 1 (log base)) (* (log base) (log base)))
195.0ms	(* (log base) (log base))
233.0ms	(cbrt (/ (/ 1 (log base)) (* (log base) (log base))))

simplify1.1s

Counts

196 → 196

Iterations

Iter	Nodes
done	2004
2	1704
1	548
0	241

prune698.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes430.0ms

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	6
0	6

end0.0ms

sample4.2s

Algorithm

intervals

Results

2.0s	7951×	body	80	nan
1.7s	8000×	body	80	valid