Details

sample130.0ms

Algorithm

intervals

Results

57.0ms	250×	body	80	nan
48.0ms	256×	body	80	valid

simplify1.8m

Counts

1 → 1

Iterations

Iter	Nodes
8	16015
7	1249
6	479
5	207
4	123
3	83
2	47
1	31
0	18

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize18.0ms

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))

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

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

simplify779.0ms

Counts

37 → 37

Iterations

Iter	Nodes
4	2093
3	631
2	273
1	110
0	65

prune379.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite12.0ms

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×	`associate-/r*` `log-pow` `log1p-expm1-u`
3×	`expm1-log1p-u` `insert-posit16` `associate-/l*` `add-log-exp`
1×	`cbrt-undiv` `log1p-udef` `expm1-log1p` `clear-num` `frac-2neg` `div-exp` `log1p-expm1` `div-inv` `expm1-udef`

Counts

3 → 58

Calls

3 calls:

1.0ms	(expm1 (/ (atan2 im re) (log base)))
0.0ms	(log1p (expm1 (/ (atan2 im re) (log base))))
10.0ms	(/ (atan2 im re) (log base))

series241.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(expm1 (/ (atan2 im re) (log base)))
91.0ms	(log1p (expm1 (/ (atan2 im re) (log base))))
53.0ms	(/ (atan2 im re) (log base))

simplify1.0s

Counts

67 → 67

Iterations

Iter	Nodes
4	2229
3	706
2	347
1	152
0	91

prune966.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
26×	`times-frac`
21×	`*-un-lft-identity`
20×	`add-cube-cbrt`
16×	`associate-r`
15×	`add-exp-log`
12×	`pow1`
9×	`add-cbrt-cube`
7×	`log-pow`
4×	`associate-/r*` `div-exp` `prod-exp`
3×	`associate-l` `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-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

2 → 80

Calls

2 calls:

8.0ms	(/ 1 (log base))
19.0ms	(* (atan2 im re) (/ 1 (log base)))

series325.0ms

Counts

2 → 6

Calls

2 calls:

272.0ms	(/ 1 (log base))
53.0ms	(* (atan2 im re) (/ 1 (log base)))

simplify6.6s

Counts

86 → 86

Iterations

Iter	Nodes
4	3246
3	1606
2	645
1	221
0	106

prune937.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 149

Calls

4 calls:

0.0ms	(expm1 (/ 1 (/ (log base) (atan2 im re))))
0.0ms	(log1p (expm1 (/ 1 (/ (log base) (atan2 im re)))))
11.0ms	(/ 1 (/ (log base) (atan2 im re)))
7.0ms	(/ (log base) (atan2 im re))

series305.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(expm1 (/ 1 (/ (log base) (atan2 im re))))
93.0ms	(log1p (expm1 (/ 1 (/ (log base) (atan2 im re)))))
73.0ms	(/ 1 (/ (log base) (atan2 im re)))
48.0ms	(/ (log base) (atan2 im re))

simplify1.8s

Counts

161 → 161

Iterations

Iter	Nodes
3	2316
2	825
1	421
0	195

prune1.8s

Pruning

16 alts after pruning (13 fresh and 3 done)

Merged error: 0.0b

regimes567.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
1	8
0	8

end0.0ms

sample5.8s

Algorithm

intervals

Results

2.7s	7969×	body	80	nan
2.6s	8000×	body	80	valid