Details

sample120.0ms

Algorithm

intervals

Results

51.0ms	251×	body	80	nan
39.0ms	256×	body	80	valid

simplify14.0ms

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

localize20.0ms

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

rewrite22.0ms

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)
14.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))
6.0ms	(/ (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 base) (log base) (* 0.0 0.0))

series876.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(hypot re im)
131.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))
243.0ms	(/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (fma (log base) (log base) (* 0.0 0.0)))
424.0ms	(fma (log base) (log base) (* 0.0 0.0))

simplify1.3s

Counts

71 → 71

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	111	1384
1	196	1361
2	433	1185
3	1261	1140
done	5000	1131

prune462.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

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))
0.3b	(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))

rewrite45.0ms

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))
1.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))
26.0ms	(/ (/ (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))))
1.0ms	(fma (log base) (log base) (* 0.0 0.0))

series1.2s

Counts

4 → 12

Calls

4 calls:

238.0ms	(/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot (log base) 0.0))
164.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))
341.0ms	(/ (/ (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))))
420.0ms	(fma (log base) (log base) (* 0.0 0.0))

simplify2.2s

Counts

175 → 175

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	259	6925
1	533	6630
2	1110	5576
3	2996	5382
done	5002	5253

prune980.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

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))
0.3b	(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)) (/ 1 (hypot (log base) 0.0)))

rewrite56.0ms

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:

5.0ms	(/ 1 (hypot (log base) 0.0))
5.0ms	(/ (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))
40.0ms	(* (/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot (log base) 0.0)) (/ 1 (hypot (log base) 0.0)))

series1.2s

Counts

4 → 12

Calls

4 calls:

550.0ms	(/ 1 (hypot (log base) 0.0))
242.0ms	(/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot (log base) 0.0))
164.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))
213.0ms	(* (/ (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)) (hypot (log base) 0.0)) (/ 1 (hypot (log base) 0.0)))

simplify3.5s

Counts

143 → 143

Iterations

Useful iterations: done (3.5s)

Iter	Nodes	Cost
0	186	3267
1	423	3072
2	1113	2688
3	3604	2663
done	5000	2634

prune798.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ (fma 0.0 0.0 (pow (log base) 2)) (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))))
0.3b	(/ (fma 0.0 0.0 (pow (log base) 2)) (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)))
0.3b	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))
0.5b	(pow (log base) 2)

rewrite26.0ms

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`
1×	`pow-to-exp` `pow-flip` `pow-pow` `pow-exp` `associate-/r/` `log-pow` `fma-udef` `unpow2` `inv-pow` `sqr-pow`

Counts

4 → 138

Calls

4 calls:

11.0ms	(/ 1 (/ (fma 0.0 0.0 (pow (log base) 2)) (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))))
5.0ms	(/ (fma 0.0 0.0 (pow (log base) 2)) (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))
4.0ms	(pow (log base) 2)

series1.4s

Counts

4 → 12

Calls

4 calls:

454.0ms	(/ 1 (/ (fma 0.0 0.0 (pow (log base) 2)) (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))))
536.0ms	(/ (fma 0.0 0.0 (pow (log base) 2)) (fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0)))
143.0ms	(fma (log (hypot re im)) (log base) (* (atan2 im re) 0.0))
275.0ms	(pow (log base) 2)

simplify2.3s

Counts

150 → 150

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	223	4283
1	445	4024
2	969	3562
3	3221	3537
done	5000	3535

prune543.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0b

regimes488.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample4.2s

Algorithm

intervals

Results

1.8s	8000×	body	80	valid
1.8s	8157×	body	80	nan