Details

sample129.0ms

Algorithm

intervals

Results

54.0ms	256×	body	80	valid
53.0ms	220×	body	80	nan

simplify1.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	2068
8	2068
7	666
6	215
5	80
4	75
3	51
2	36
1	26
0	18

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize25.0ms

Local error

Found 1 expressions with local error:

0.4b	(/ (log (hypot re im)) (log base))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

16×	`times-frac`
11×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cube-cbrt`
10×	`log-pow`
4×	`associate-/r` `associate-/l`
3×	`add-cbrt-cube` `add-exp-log`
1×	`expm1-log1p-u` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 39

Calls

1 calls:

10.0ms

(/ (log (hypot re im)) (log base))

series161.0ms

Counts

1 → 3

Calls

1 calls:

160.0ms

(/ (log (hypot re im)) (log base))

simplify666.0ms

Counts

42 → 42

Iterations

Iter	Nodes
done	2001
4	2001
3	673
2	283
1	122
0	72

prune144.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ 1 (log base))
0.3b	(* (log (hypot re im)) (/ 1 (log base)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
26×	`times-frac`
21×	`*-un-lft-identity`
20×	`add-cube-cbrt`
16×	`associate-r`
15×	`add-exp-log`
13×	`pow1`
9×	`add-cbrt-cube`
8×	`log-pow`
4×	`associate-/r` `div-exp` `associate-l*` `prod-exp`
3×	`associate-/l*` `unswap-sqr`
2×	`expm1-log1p-u` `cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

2 → 81

Calls

2 calls:

4.0ms	(/ 1 (log base))
11.0ms	(* (log (hypot re im)) (/ 1 (log base)))

series302.0ms

Counts

2 → 6

Calls

2 calls:

179.0ms	(/ 1 (log base))
123.0ms	(* (log (hypot re im)) (/ 1 (log base)))

simplify908.0ms

Counts

87 → 87

Iterations

Iter	Nodes
done	2002
4	2002
3	1275
2	685
1	235
0	112

prune297.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ (log (hypot re im)) (log base))
0.4b	(/ (log (hypot re im)) (log base))
0.5b	(* (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)))
0.6b	(cbrt (* (* (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base))) (/ (log (hypot re im)) (log base))))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

140×	`times-frac`
95×	`pow1`
92×	`*-un-lft-identity`
84×	`log-pow`
80×	`add-sqr-sqrt`
68×	`add-cube-cbrt`
40×	`swap-sqr`
20×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
8×	`associate-/r` `associate-/l`
7×	`cbrt-div`
6×	`frac-times` `cbrt-undiv` `div-exp` `associate-*l/` `div-inv`
4×	`expm1-log1p-u` `prod-exp` `associate-*r/` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`clear-num` `frac-2neg`
1×	`cbrt-prod` `pow2` `pow-plus` `pow1/3` `pow3` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up` `rem-cbrt-cube`

Counts

4 → 209

Calls

4 calls:

8.0ms	(/ (log (hypot re im)) (log base))
6.0ms	(/ (log (hypot re im)) (log base))
16.0ms	(* (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)))
32.0ms	(cbrt (* (* (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base))) (/ (log (hypot re im)) (log base))))

series553.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(/ (log (hypot re im)) (log base))
125.0ms	(/ (log (hypot re im)) (log base))
166.0ms	(* (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)))
123.0ms	(cbrt (* (* (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base))) (/ (log (hypot re im)) (log base))))

simplify1.1s

Counts

221 → 221

Iterations

Iter	Nodes
done	2018
3	2018
2	1594
1	513
0	175

prune826.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ (* (log (hypot re im)) (/ (log (hypot re im)) (log base))) (log base))
0.4b	(/ (log (hypot re im)) (log base))
0.4b	(/ (log (hypot re im)) (log base))
0.6b	(cbrt (* (/ (* (log (hypot re im)) (/ (log (hypot re im)) (log base))) (log base)) (/ (log (hypot re im)) (log base))))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
26×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cube-cbrt`
22×	`log-pow`
17×	`add-cbrt-cube` `add-exp-log`
12×	`associate-/r*`
9×	`associate-/l*`
6×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-div` `clear-num` `frac-2neg` `div-inv`
2×	`prod-exp` `associate-*r/` `cbrt-unprod`
1×	`cbrt-prod` `frac-times` `pow1/3` `associate-*l/` `associate-/l/`

Counts

4 → 122

Calls

4 calls:

17.0ms	(/ (* (log (hypot re im)) (/ (log (hypot re im)) (log base))) (log base))
9.0ms	(/ (log (hypot re im)) (log base))
12.0ms	(/ (log (hypot re im)) (log base))
26.0ms	(cbrt (* (/ (* (log (hypot re im)) (/ (log (hypot re im)) (log base))) (log base)) (/ (log (hypot re im)) (log base))))

series558.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(/ (* (log (hypot re im)) (/ (log (hypot re im)) (log base))) (log base))
132.0ms	(/ (log (hypot re im)) (log base))
130.0ms	(/ (log (hypot re im)) (log base))
133.0ms	(cbrt (* (/ (* (log (hypot re im)) (/ (log (hypot re im)) (log base))) (log base)) (/ (log (hypot re im)) (log base))))

simplify1.1s

Counts

134 → 134

Iterations

Iter	Nodes
done	2001
3	2001
2	1154
1	301
0	135

prune587.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes323.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	17
1	17
0	15

end0.0ms

sample4.6s

Algorithm

intervals

Results

2.2s	7811×	body	80	nan
2.0s	8000×	body	80	valid