Details

sample129.0ms

Algorithm

intervals

Results

66.0ms	284×	body	80	nan
43.0ms	256×	body	80	valid

simplify6.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	1971
5	248
4	98
3	54
2	39
1	28
0	18

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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)
13.0ms	(/ (log (hypot re im)) (log base))

series166.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(hypot re im)
116.0ms	(/ (log (hypot re im)) (log base))

simplify942.0ms

Counts

56 → 56

Iterations

Iter	Nodes
done	5001
3	1361
2	334
1	140
0	85

prune298.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b	(hypot re im)
0.4b	(/ (log (expm1 (log1p (hypot re im)))) (log base))
4.9b	(expm1 (log1p (hypot re im)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

0.0ms	(hypot re im)
9.0ms	(/ (log (expm1 (log1p (hypot re im)))) (log base))
0.0ms	(expm1 (log1p (hypot re im)))

series395.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(hypot re im)
181.0ms	(/ (log (expm1 (log1p (hypot re im)))) (log base))
149.0ms	(expm1 (log1p (hypot re im)))

simplify958.0ms

Counts

71 → 71

Iterations

Iter	Nodes
done	5000
2	784
1	259
0	135

prune396.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite30.0ms

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)
13.0ms	(/ 1 (/ (log base) (log (hypot re im))))
13.0ms	(/ (log base) (log (hypot re im)))

series422.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(hypot re im)
180.0ms	(/ 1 (/ (log base) (log (hypot re im))))
184.0ms	(/ (log base) (log (hypot re im)))

simplify1.4s

Counts

166 → 166

Iterations

Iter	Nodes
done	5000
2	2187
1	422
0	189

prune431.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(hypot re im)
0.3b	(* (log (expm1 (log1p (hypot re im)))) (/ 1 (log base)))
0.3b	(/ 1 (log base))
4.9b	(expm1 (log1p (hypot re im)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 104

Calls

4 calls:

0.0ms	(hypot re im)
20.0ms	(* (log (expm1 (log1p (hypot re im)))) (/ 1 (log base)))
9.0ms	(/ 1 (log base))
0.0ms	(expm1 (log1p (hypot re im)))

series576.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(hypot re im)
207.0ms	(* (log (expm1 (log1p (hypot re im)))) (/ 1 (log base)))
164.0ms	(/ 1 (log base))
137.0ms	(expm1 (log1p (hypot re im)))

simplify1.2s

Counts

116 → 116

Iterations

Iter	Nodes
done	5000
2	1657
1	370
0	175

prune552.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0b

regimes436.0ms

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	11
1	11
0	9

end0.0ms

sample4.4s

Algorithm

intervals

Results

2.1s	8090×	body	80	nan
1.6s	8000×	body	80	valid