Details

sample212.0ms

Algorithm

intervals

Results

100.0ms	256×	body	80	valid
79.0ms	254×	body	80	nan

simplify1.8m

Counts

1 → 1

Iterations

Iter	Nodes
9	22032
8	1831
7	568
6	176
5	71
4	67
3	47
2	32
1	26
0	18

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize27.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

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)
14.0ms	(/ (log (hypot re im)) (log base))

series227.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(hypot re im)
157.0ms	(/ (log (hypot re im)) (log base))

simplify875.0ms

Counts

56 → 56

Iterations

Iter	Nodes
4	2137
3	665
2	302
1	139
0	85

prune630.0ms

Pruning

13 alts after pruning (13 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) (log (hypot re im))))
0.3b	(/ (log base) (log (hypot re im)))

rewrite18.0ms

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)
8.0ms	(/ 1 (/ (log base) (log (hypot re im))))
7.0ms	(/ (log base) (log (hypot re im)))

series492.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(hypot re im)
223.0ms	(/ 1 (/ (log base) (log (hypot re im))))
208.0ms	(/ (log base) (log (hypot re im)))

simplify2.7s

Counts

166 → 166

Iterations

Iter	Nodes
3	2462
2	853
1	411
0	189

prune1.9s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
26×	`times-frac`
24×	`*-un-lft-identity`
23×	`add-cube-cbrt`
16×	`associate-l` `add-exp-log`
14×	`pow1`
10×	`add-cbrt-cube`
8×	`log-pow`
6×	`log-prod`
4×	`associate-/r` `div-exp` `associate-r*` `prod-exp`
3×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `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-l/` `-commutative` `pow-flip` `inv-pow`

Counts

3 → 97

Calls

3 calls:

0.0ms	(hypot re im)
17.0ms	(* (/ 1 (log base)) (log (hypot re im)))
9.0ms	(/ 1 (log base))

series516.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(hypot re im)
201.0ms	(* (/ 1 (log base)) (log (hypot re im)))
242.0ms	(/ 1 (log base))

simplify2.3s

Counts

106 → 106

Iterations

Iter	Nodes
4	2440
3	1413
2	711
1	293
0	138

prune1.2s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-exp-log`
31×	`add-sqr-sqrt`
29×	`times-frac`
25×	`*-un-lft-identity`
24×	`add-cube-cbrt`
20×	`add-cbrt-cube` `div-exp`
18×	`pow1`
16×	`associate-r` `prod-exp`
10×	`rec-exp` `1-exp`
8×	`log-pow`
6×	`cbrt-undiv` `associate-/l*`
5×	`associate-/r*`
4×	`expm1-log1p-u` `associate-l` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`div-inv` `pow-flip` `unswap-sqr`
2×	`clear-num` `frac-2neg` `pow-prod-down` `associate-*r/` `associate-/r/` `un-div-inv` `inv-pow`
1×	`hypot-udef` `*-commutative`

Counts

4 → 135

Calls

4 calls:

0.0ms	(hypot re im)
22.0ms	(/ 1 (* (log base) (/ 1 (log (hypot re im)))))
5.0ms	(/ 1 (log (hypot re im)))
12.0ms	(* (log base) (/ 1 (log (hypot re im))))

series681.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(hypot re im)
240.0ms	(/ 1 (* (log base) (/ 1 (log (hypot re im)))))
156.0ms	(/ 1 (log (hypot re im)))
200.0ms	(* (log base) (/ 1 (log (hypot re im))))

simplify4.2s

Counts

147 → 147

Iterations

Iter	Nodes
3	2477
2	854
1	368
0	170

prune1.8s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

regimes423.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
2	10
1	10
0	9

end0.0ms

sample5.1s

Algorithm

intervals

Results

2.4s	7915×	body	80	nan
2.1s	8000×	body	80	valid