Details

sample157.0ms

Algorithm

intervals

Results

67.0ms	256×	body	80	valid
64.0ms	250×	body	80	nan

simplify1.9m

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

prune31.0ms

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)
0.3b	(/ (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))

series254.0ms

Counts

2 → 6

Calls

2 calls:

87.0ms	(hypot re im)
167.0ms	(/ (log (hypot re im)) (log base))

simplify1.3s

Counts

56 → 56

Iterations

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

prune656.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 3 expressions with local error:

0.0b	(hypot re im)
0.3b	(/ (log (expm1 (log1p (hypot re im)))) (log base))
4.2b	(expm1 (log1p (hypot re im)))

rewrite9.0ms

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)
8.0ms	(/ (log (expm1 (log1p (hypot re im)))) (log base))
0.0ms	(expm1 (log1p (hypot re im)))

series501.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(hypot re im)
235.0ms	(/ (log (expm1 (log1p (hypot re im)))) (log base))
181.0ms	(expm1 (log1p (hypot re im)))

simplify1.2s

Counts

71 → 71

Iterations

Iter	Nodes
3	2332
2	590
1	256
0	135

prune860.0ms

Pruning

13 alts after pruning (12 fresh and 1 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)))

rewrite20.0ms

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:

0.0ms	(hypot re im)
4.0ms	(/ 1 (log base))
14.0ms	(* (log (hypot re im)) (/ 1 (log base)))

series406.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(hypot re im)
219.0ms	(/ 1 (log base))
124.0ms	(* (log (hypot re im)) (/ 1 (log base)))

simplify3.5s

Counts

101 → 101

Iterations

Iter	Nodes
4	2317
3	1375
2	677
1	250
0	125

prune1.1s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

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

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

141×	`times-frac`
112×	`pow1`
91×	`*-un-lft-identity`
82×	`add-sqr-sqrt` `log-pow`
67×	`add-cube-cbrt`
59×	`add-cbrt-cube` `add-exp-log`
40×	`swap-sqr` `associate-r`
22×	`prod-exp` `cbrt-unprod`
21×	`associate-l`
18×	`cbrt-undiv` `div-exp`
11×	`frac-times` `associate-*l/`
7×	`cbrt-div` `pow-plus` `associate-*r/` `pow-prod-up`
6×	`div-inv` `unswap-sqr`
4×	`expm1-log1p-u` `associate-/r` `pow-prod-down` `insert-posit16` `log1p-expm1-u` `associate-/l` `add-log-exp`
3×	`pow2` `pow-sqr`
2×	`pow3` `*-commutative`
1×	`cbrt-prod` `clear-num` `frac-2neg` `pow1/3` `rem-cbrt-cube`

Counts

4 → 242

Calls

4 calls:

7.0ms	(/ (log (hypot re im)) (log base))
61.0ms	(* (* (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base))) (/ (log (hypot re im)) (log base)))
20.0ms	(* (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)))
52.0ms	(cbrt (* (* (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base))) (/ (log (hypot re im)) (log base))))

series722.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(/ (log (hypot re im)) (log base))
212.0ms	(* (* (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base))) (/ (log (hypot re im)) (log base)))
210.0ms	(* (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)))
159.0ms	(cbrt (* (* (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base))) (/ (log (hypot re im)) (log base))))

simplify797.0ms

Counts

254 → 254

Iterations

Iter	Nodes
2	2435
1	676
0	227

prune3.2s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes424.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
1	9
0	9

end0.0ms

sample5.5s

Algorithm

intervals

Results

2.3s	7969×	body	80	nan
2.3s	8000×	body	80	valid