Details

sample55.0ms

Algorithm

intervals

Results

20.0ms	224×	body	80	nan
18.0ms	256×	body	80	valid

simplify10.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

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 3 expressions with local error:

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))
0.5b	(fma (log base) (log base) (* 0.0 0.0))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 49

Calls

3 calls:

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))

series526.0ms

Counts

3 → 9

Calls

3 calls:

149.0ms	(/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (fma (log base) (log base) (* 0.0 0.0)))
107.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))
270.0ms	(fma (log base) (log base) (* 0.0 0.0))

simplify2.1s

Counts

58 → 58

Iterations

Useful iterations: 4 (965.0ms)

Iter	Nodes	Cost
0	99	1324
1	179	1303
2	409	1133
3	1145	1088
4	3908	1079
done	5000	1079

prune297.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (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))
0.4b	(/ (/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot (log base) 0.0)) (sqrt (fma (log base) (log base) (* 0.0 0.0))))
0.5b	(fma (log base) (log base) (* 0.0 0.0))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 163

Calls

4 calls:

2.0ms	(/ (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))
7.0ms	(/ (/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot (log base) 0.0)) (sqrt (fma (log base) (log base) (* 0.0 0.0))))
0.0ms	(fma (log base) (log base) (* 0.0 0.0))

series784.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot (log base) 0.0))
105.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))
238.0ms	(/ (/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot (log base) 0.0)) (sqrt (fma (log base) (log base) (* 0.0 0.0))))
286.0ms	(fma (log base) (log base) (* 0.0 0.0))

simplify2.5s

Counts

175 → 175

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	259	6925
1	536	6658
2	1363	5576
3	3421	5382
done	5000	5382

prune678.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 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)) (/ 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	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))

rewrite23.0ms

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/` `un-div-inv` `*-commutative` `fma-udef` `inv-pow`

Counts

4 → 131

Calls

4 calls:

2.0ms	(/ 1 (hypot (log base) 0.0))
14.0ms	(* (/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot (log base) 0.0)) (/ 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))
0.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))

series815.0ms

Counts

4 → 12

Calls

4 calls:

360.0ms	(/ 1 (hypot (log base) 0.0))
188.0ms	(* (/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot (log base) 0.0)) (/ 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))
115.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))

simplify3.3s

Counts

143 → 143

Iterations

Useful iterations: 3 (2.2s)

Iter	Nodes	Cost
0	186	3267
1	449	3100
2	1207	2688
3	4104	2663
done	5000	2663

prune529.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (/ 1 (hypot (log base) 0.0)))
0.4b	(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)) (/ 1 (hypot (log base) 0.0))) (sqrt (fma (log base) (log base) (* 0.0 0.0))))
0.5b	(fma (log base) (log base) (* 0.0 0.0))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log`
23×	`add-sqr-sqrt`
18×	`add-cbrt-cube`
17×	`*-un-lft-identity` `times-frac`
16×	`add-cube-cbrt`
13×	`associate-r`
9×	`div-exp`
8×	`prod-exp`
6×	`pow1` `associate-/r*` `sqrt-prod`
5×	`cbrt-undiv`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `unswap-sqr`
2×	`rec-exp` `1-exp` `associate-*r/` `un-div-inv` `fma-udef` `div-inv` `associate-/l/`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `associate-/l`

Counts

4 → 93

Calls

4 calls:

8.0ms	(* (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (/ 1 (hypot (log base) 0.0)))
0.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))
7.0ms	(/ (* (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (/ 1 (hypot (log base) 0.0))) (sqrt (fma (log base) (log base) (* 0.0 0.0))))
0.0ms	(fma (log base) (log base) (* 0.0 0.0))

series915.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(* (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (/ 1 (hypot (log base) 0.0)))
106.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))
236.0ms	(/ (* (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (/ 1 (hypot (log base) 0.0))) (sqrt (fma (log base) (log base) (* 0.0 0.0))))
417.0ms	(fma (log base) (log base) (* 0.0 0.0))

simplify3.7s

Counts

105 → 105

Iterations

Useful iterations: 3 (2.5s)

Iter	Nodes	Cost
0	178	2645
1	402	2429
2	1212	1830
3	4147	1780
done	5001	1780

prune402.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0b

regimes267.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	24
1	19	24
done	19	24

end0.0ms

sample1.5s

Algorithm

intervals

Results

575.0ms	8000×	body	80	valid
574.0ms	7961×	body	80	nan