Details

sample148.0ms

Algorithm

intervals

Results

66.0ms	256×	body	80	valid
59.0ms	249×	body	80	nan

simplify1.5s

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

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(hypot re im)
0.4b	(/ (log (hypot re im)) (log base))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 50

Calls

2 calls:

0.0ms	(hypot re im)
7.0ms	(/ (log (hypot re im)) (log base))

series238.0ms

Counts

2 → 6

Calls

2 calls:

84.0ms	(hypot re im)
154.0ms	(/ (log (hypot re im)) (log base))

simplify1.4s

Counts

56 → 56

Iterations

Iter	Nodes
done	2010
5	2010
4	1929
3	662
2	305
1	140
0	85

prune320.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 92

Calls

3 calls:

1.0ms	(hypot re im)
5.0ms	(/ 1 (log base))
11.0ms	(* (log (hypot re im)) (/ 1 (log base)))

series346.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(hypot re im)
168.0ms	(/ 1 (log base))
124.0ms	(* (log (hypot re im)) (/ 1 (log base)))

simplify910.0ms

Counts

101 → 101

Iterations

Iter	Nodes
done	2000
4	2000
3	1330
2	713
1	253
0	125

prune421.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b	(expm1 (/ 1 (log base)))
0.2b	(log1p (expm1 (/ 1 (log base))))
0.3b	(/ 1 (log base))
0.4b	(* (log (hypot re im)) (log1p (expm1 (/ 1 (log base)))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
12×	`pow1` `times-frac`
10×	`add-exp-log`
8×	`add-cbrt-cube`
5×	`log-pow` `log1p-expm1-u`
4×	`expm1-log1p-u` `associate-/r` `associate-l*` `insert-posit16` `add-log-exp`
3×	`associate-r` `associate-/l*`
2×	`div-exp`
1×	`cbrt-undiv` `rec-exp` `log1p-udef` `expm1-log1p` `clear-num` `frac-2neg` `1-exp` `pow-prod-down` `prod-exp` `log1p-expm1` `*-commutative` `cbrt-unprod` `div-inv` `pow-flip` `inv-pow` `expm1-udef` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

0.0ms	(expm1 (/ 1 (log base)))
0.0ms	(log1p (expm1 (/ 1 (log base))))
11.0ms	(/ 1 (log base))
10.0ms	(* (log (hypot re im)) (log1p (expm1 (/ 1 (log base)))))

series989.0ms

Counts

4 → 12

Calls

4 calls:

279.0ms	(expm1 (/ 1 (log base)))
335.0ms	(log1p (expm1 (/ 1 (log base))))
205.0ms	(/ 1 (log base))
170.0ms	(* (log (hypot re im)) (log1p (expm1 (/ 1 (log base)))))

simplify1.1s

Counts

96 → 96

Iterations

Iter	Nodes
done	2000
5	2000
4	1486
3	787
2	389
1	209
0	123

prune453.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

140×	`times-frac`
70×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
46×	`pow1`
42×	`log-pow`
24×	`associate-/r*`
16×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`div-exp`
7×	`associate-/l*`
6×	`div-inv`
4×	`cbrt-undiv`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp`
1×	`hypot-udef` `associate-/r/` `pow-flip` `inv-pow`

Counts

3 → 157

Calls

3 calls:

0.0ms	(hypot re im)
10.0ms	(/ 1 (/ (log base) (log (hypot re im))))
9.0ms	(/ (log base) (log (hypot re im)))

series335.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(hypot re im)
134.0ms	(/ 1 (/ (log base) (log (hypot re im))))
149.0ms	(/ (log base) (log (hypot re im)))

simplify890.0ms

Counts

166 → 166

Iterations

Iter	Nodes
done	2001
3	2001
2	879
1	416
0	189

prune477.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0b

regimes475.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	14
1	14
0	11

end0.0ms

sample4.8s

Algorithm

intervals

Results

2.4s	8156×	body	80	nan
1.9s	8000×	body	80	valid