Details

sample59.0ms

Algorithm

intervals

Results

21.0ms	283×	body	80	nan
19.0ms	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

localize21.0ms

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))
0.5b	(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))

series565.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(hypot re im)
147.0ms	(/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (fma (log base) (log base) (* 0.0 0.0)))
106.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))
267.0ms	(fma (log base) (log base) (* 0.0 0.0))

simplify838.0ms

Counts

71 → 71

Iterations

Useful iterations: 3 (201.0ms)

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

prune374.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ (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)) (hypot (log base) 0.0)) (sqrt (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))

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

series785.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot (log base) 0.0))
245.0ms	(/ (/ (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))))
108.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))
279.0ms	(fma (log base) (log base) (* 0.0 0.0))

simplify1.2s

Counts

175 → 175

Iterations

Useful iterations: 2 (279.0ms)

Iter	Nodes	Cost
0	259	6925
1	536	6630
2	1585	5576
done	5001	5576

prune688.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (/ (+ (pow (log base) 2) (* 0.0 0.0)) (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))))
0.4b	(/ (+ (pow (log base) 2) (* 0.0 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))
0.5b	(pow (log base) 2)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
56×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`add-exp-log`
16×	`associate-/r*`
11×	`add-cbrt-cube`
8×	`div-exp`
7×	`pow1`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv` `expm1-log1p-u` `unpow-prod-down` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`pow-to-exp` `pow-flip` `pow-pow` `flip3-+` `pow-exp` `associate-/r/` `log-pow` `flip-+` `fma-udef` `unpow2` `inv-pow` `sqr-pow`

Counts

4 → 140

Calls

4 calls:

15.0ms	(/ 1 (/ (+ (pow (log base) 2) (* 0.0 0.0)) (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))))
21.0ms	(/ (+ (pow (log base) 2) (* 0.0 0.0)) (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)))
0.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))
2.0ms	(pow (log base) 2)

series805.0ms

Counts

4 → 12

Calls

4 calls:

222.0ms	(/ 1 (/ (+ (pow (log base) 2) (* 0.0 0.0)) (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))))
325.0ms	(/ (+ (pow (log base) 2) (* 0.0 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))
152.0ms	(pow (log base) 2)

simplify949.0ms

Counts

152 → 152

Iterations

Useful iterations: 2 (252.0ms)

Iter	Nodes	Cost
0	225	4480
1	486	4212
2	1604	3588
done	5001	3588

prune526.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (sqrt (+ (pow (log base) 2) (* 0.0 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)) (hypot (log base) 0.0))
0.4b	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))
0.5b	(pow (log base) 2)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

150×	`times-frac`
91×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
42×	`sqrt-prod`
16×	`associate-/r*`
12×	`add-exp-log`
11×	`add-cbrt-cube`
9×	`div-inv` `associate-/l*`
6×	`pow1`
4×	`cbrt-undiv` `expm1-log1p-u` `unpow-prod-down` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`frac-2neg` `sqrt-div` `clear-num` `associate-/l/`
1×	`pow-to-exp` `pow-pow` `flip3-+` `pow-exp` `associate-/r/` `log-pow` `flip-+` `fma-udef` `unpow2` `sqr-pow`

Counts

4 → 176

Calls

4 calls:

21.0ms	(/ (sqrt (+ (pow (log base) 2) (* 0.0 0.0))) (/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (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))
2.0ms	(pow (log base) 2)

series907.0ms

Counts

4 → 12

Calls

4 calls:

495.0ms	(/ (sqrt (+ (pow (log base) 2) (* 0.0 0.0))) (/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot (log base) 0.0)))
150.0ms	(/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot (log base) 0.0))
113.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))
149.0ms	(pow (log base) 2)

simplify1.2s

Counts

188 → 188

Iterations

Useful iterations: 2 (371.0ms)

Iter	Nodes	Cost
0	290	7085
1	620	6743
2	2053	5628
done	5000	5628

prune705.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0b

regimes282.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	27
1	17	27
done	17	27

end0.0ms

sample1.6s

Algorithm

intervals

Results

593.0ms	8095×	body	80	nan
588.0ms	8000×	body	80	valid