Details

sample58.0ms

Algorithm

intervals

Results

21.0ms	238×	body	80	nan
18.0ms	256×	body	80	valid

simplify11.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	18	28
1	27	21
2	33	21
done	33	21

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(hypot re im)
0.3b	(/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (fma (log base) (log base) (* 0.0 0.0)))
0.4b	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))
0.6b	(fma (log base) (log base) (* 0.0 0.0))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 59

Calls

4 calls:

0.0ms	(hypot re im)
2.0ms	(/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (fma (log base) (log base) (* 0.0 0.0)))
0.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))
0.0ms	(fma (log base) (log base) (* 0.0 0.0))

series568.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(hypot re im)
148.0ms	(/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (fma (log base) (log base) (* 0.0 0.0)))
109.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))
266.0ms	(fma (log base) (log base) (* 0.0 0.0))

simplify856.0ms

Counts

71 → 71

Iterations

Useful iterations: 3 (216.0ms)

Iter	Nodes	Cost
0	111	1384
1	196	1361
2	471	1185
3	1783	1140
done	5000	1140

prune342.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (hypot (log base) 0.0))
0.3b	(/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot (log base) 0.0))
0.4b	(* (/ 1 (hypot (log base) 0.0)) (/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot (log base) 0.0)))
0.4b	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-sqr-sqrt`
43×	`times-frac`
36×	`*-un-lft-identity`
34×	`add-cube-cbrt`
32×	`add-exp-log`
20×	`add-cbrt-cube`
13×	`associate-r` `associate-l`
11×	`div-exp`
8×	`prod-exp`
7×	`pow1`
6×	`cbrt-undiv` `associate-/r` `associate-/l` `unswap-sqr`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`rec-exp` `1-exp`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `pow-flip` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `fma-udef` `inv-pow`

Counts

4 → 130

Calls

4 calls:

2.0ms	(/ 1 (hypot (log base) 0.0))
2.0ms	(/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot (log base) 0.0))
13.0ms	(* (/ 1 (hypot (log base) 0.0)) (/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot (log base) 0.0)))
0.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))

series1.1s

Counts

4 → 12

Calls

4 calls:

526.0ms	(/ 1 (hypot (log base) 0.0))
153.0ms	(/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot (log base) 0.0))
351.0ms	(* (/ 1 (hypot (log base) 0.0)) (/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot (log base) 0.0)))
107.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))

simplify857.0ms

Counts

142 → 142

Iterations

Useful iterations: 2 (204.0ms)

Iter	Nodes	Cost
0	185	3303
1	442	3105
2	1385	2729
done	5000	2729

prune492.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (hypot (log base) 0.0))
0.3b	(/ (hypot (log base) 0.0) (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)))
0.4b	(* (/ 1 (hypot (log base) 0.0)) (/ 1 (/ (hypot (log base) 0.0) (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)))))
0.4b	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

121×	`times-frac`
109×	`add-sqr-sqrt`
93×	`add-exp-log`
73×	`*-un-lft-identity`
62×	`add-cube-cbrt`
45×	`div-exp`
44×	`associate-r`
29×	`add-cbrt-cube`
28×	`prod-exp`
16×	`rec-exp` `1-exp`
15×	`unswap-sqr`
13×	`associate-l`
11×	`cbrt-undiv`
9×	`pow1`
7×	`div-inv`
6×	`associate-/r` `cbrt-unprod` `associate-/l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-flip` `pow-prod-down` `inv-pow`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `associate-r/` `associate-l/` `associate-/r/` `un-div-inv` `*-commutative` `fma-udef`

Counts

4 → 195

Calls

4 calls:

2.0ms	(/ 1 (hypot (log base) 0.0))
2.0ms	(/ (hypot (log base) 0.0) (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)))
29.0ms	(* (/ 1 (hypot (log base) 0.0)) (/ 1 (/ (hypot (log base) 0.0) (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)))))
1.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))

series1.2s

Counts

4 → 12

Calls

4 calls:

365.0ms	(/ 1 (hypot (log base) 0.0))
382.0ms	(/ (hypot (log base) 0.0) (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)))
355.0ms	(* (/ 1 (hypot (log base) 0.0)) (/ 1 (/ (hypot (log base) 0.0) (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)))))
106.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))

simplify1.2s

Counts

207 → 207

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	298	5665
1	842	5133
2	1913	4615
done	5001	4483

prune661.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(hypot re im)
0.3b	(/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot (log base) 0.0))
0.3b	(/ (/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot (log base) 0.0)) (hypot (log base) 0.0))
0.4b	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
54×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`associate-/l*`
11×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r*` `div-inv`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`hypot-udef` `fma-udef` `associate-/l/`

Counts

4 → 121

Calls

4 calls:

0.0ms	(hypot re im)
2.0ms	(/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot (log base) 0.0))
6.0ms	(/ (/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot (log base) 0.0)) (hypot (log base) 0.0))
0.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))

series508.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(hypot re im)
161.0ms	(/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot (log base) 0.0))
189.0ms	(/ (/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot (log base) 0.0)) (hypot (log base) 0.0))
112.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))

simplify1.5s

Counts

133 → 133

Iterations

Useful iterations: 3 (599.0ms)

Iter	Nodes	Cost
0	194	3869
1	392	3796
2	969	3514
3	3044	3434
done	5000	3434

prune475.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

regimes227.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	24
1	18	24
done	18	24

end0.0ms

sample1.5s

Algorithm

intervals

Results

572.0ms	7982×	body	80	nan
572.0ms	8000×	body	80	valid