Details

sample55.0ms

Algorithm

intervals

Results

18.0ms	252×	body	80	nan
18.0ms	256×	body	80	valid

simplify9.0ms

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

localize18.0ms

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))

series575.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(hypot re im)
145.0ms	(/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (fma (log base) (log base) (* 0.0 0.0)))
113.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))
267.0ms	(fma (log base) (log base) (* 0.0 0.0))

simplify810.0ms

Counts

71 → 71

Iterations

Useful iterations: 3 (187.0ms)

Iter	Nodes	Cost
0	111	1384
1	199	1361
2	528	1185
3	2003	1140
done	5000	1140

prune342.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

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)) (sqrt (fma (log base) (log base) (* 0.0 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	(fma (log base) (log base) (* 0.0 0.0))

rewrite20.0ms

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:

10.0ms	(/ (/ (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))))
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))
0.0ms	(fma (log base) (log base) (* 0.0 0.0))

series785.0ms

Counts

4 → 12

Calls

4 calls:

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))))
161.0ms	(/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot (log base) 0.0))
109.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))
270.0ms	(fma (log base) (log base) (* 0.0 0.0))

simplify820.0ms

Counts

175 → 175

Iterations

Useful iterations: 2 (171.0ms)

Iter	Nodes	Cost
0	259	6925
1	542	6658
2	1894	5576
done	5000	5576

prune820.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

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))

series788.0ms

Counts

4 → 12

Calls

4 calls:

346.0ms	(/ 1 (hypot (log base) 0.0))
183.0ms	(* (/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot (log base) 0.0)) (/ 1 (hypot (log base) 0.0)))
150.0ms	(/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot (log base) 0.0))
108.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))

simplify866.0ms

Counts

143 → 143

Iterations

Useful iterations: 2 (153.0ms)

Iter	Nodes	Cost
0	186	3267
1	460	3100
2	1699	2688
done	5000	2688

prune505.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (fma 0.0 0.0 (pow (log base) 2)))
0.4b	(* (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (/ 1 (fma 0.0 0.0 (pow (log base) 2))))
0.4b	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))
0.5b	(pow (log base) 2)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
22×	`add-cube-cbrt`
20×	`times-frac`
18×	`add-exp-log`
13×	`associate-r`
11×	`add-cbrt-cube`
9×	`pow1`
4×	`expm1-log1p-u` `unpow-prod-down` `div-exp` `prod-exp` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `associate-l` `associate-/r` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `div-inv`
1×	`pow-to-exp` `pow-flip` `pow-pow` `frac-2neg` `associate-r/` `pow-prod-down` `pow-exp` `clear-num` `log-pow` `un-div-inv` `-commutative` `fma-udef` `unpow2` `inv-pow` `sqr-pow`

Counts

4 → 102

Calls

4 calls:

2.0ms	(/ 1 (fma 0.0 0.0 (pow (log base) 2)))
11.0ms	(* (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (/ 1 (fma 0.0 0.0 (pow (log base) 2))))
0.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))
2.0ms	(pow (log base) 2)

series621.0ms

Counts

4 → 12

Calls

4 calls:

215.0ms	(/ 1 (fma 0.0 0.0 (pow (log base) 2)))
145.0ms	(* (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (/ 1 (fma 0.0 0.0 (pow (log base) 2))))
107.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))
153.0ms	(pow (log base) 2)

simplify908.0ms

Counts

114 → 114

Iterations

Useful iterations: done (904.0ms)

Iter	Nodes	Cost
0	163	1963
1	350	1816
2	1267	1518
done	5001	1516

prune363.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes214.0ms

Accuracy

0% (0.5b 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	16	22
1	20	22
done	20	22

end0.0ms

sample1.5s

Algorithm

intervals

Results

575.0ms	8000×	body	80	valid
574.0ms	7885×	body	80	nan