Details

sample87.0ms

Algorithm

intervals

Results

34.0ms	274×	body	80	nan
28.0ms	256×	body	80	valid

simplify5.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5529
8	3678
7	666
6	215
5	80
4	75
3	51
2	36
1	26
0	18

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize31.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

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)
16.0ms	(/ (log (hypot re im)) (log base))

series246.0ms

Counts

2 → 6

Calls

2 calls:

88.0ms	(hypot re im)
158.0ms	(/ (log (hypot re im)) (log base))

simplify3.4s

Counts

56 → 56

Iterations

Iter	Nodes
done	5001
4	1929
3	662
2	305
1	140
0	85

prune319.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (hypot re im)) (cbrt (hypot re im)))
0.6b	(cbrt (hypot re im))
0.6b	(cbrt (hypot re im))
0.6b	(cbrt (hypot re im))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 85

Calls

4 calls:

16.0ms	(* (cbrt (hypot re im)) (cbrt (hypot re im)))
1.0ms	(cbrt (hypot re im))
1.0ms	(cbrt (hypot re im))
1.0ms	(cbrt (hypot re im))

series706.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(* (cbrt (hypot re im)) (cbrt (hypot re im)))
164.0ms	(cbrt (hypot re im))
185.0ms	(cbrt (hypot re im))
161.0ms	(cbrt (hypot re im))

simplify2.9s

Counts

97 → 97

Iterations

Iter	Nodes
done	5004
4	3850
3	1079
2	417
1	168
0	80

prune424.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (hypot re im)) (pow (hypot re im) 1/3))
0.6b	(cbrt (hypot re im))
0.6b	(cbrt (hypot re im))
5.0b	(pow (hypot re im) 1/3)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
12×	`cbrt-prod` `*-un-lft-identity` `add-cube-cbrt`
10×	`add-exp-log`
8×	`unpow-prod-down`
7×	`associate-r`
6×	`associate-l` `unswap-sqr`
5×	`pow1` `add-cbrt-cube` `pow1/3`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp` `sqr-pow`
3×	`pow-unpow` `prod-exp`
2×	`pow-to-exp` `unpow1/3` `pow-exp` `cbrt-unprod`
1×	`hypot-udef` `pow-pow` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up` `sqrt-pow2`

Counts

4 → 88

Calls

4 calls:

14.0ms	(* (cbrt (hypot re im)) (pow (hypot re im) 1/3))
1.0ms	(cbrt (hypot re im))
1.0ms	(cbrt (hypot re im))
3.0ms	(pow (hypot re im) 1/3)

series518.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(* (cbrt (hypot re im)) (pow (hypot re im) 1/3))
125.0ms	(cbrt (hypot re im))
115.0ms	(cbrt (hypot re im))
119.0ms	(pow (hypot re im) 1/3)

simplify1.4s

Counts

100 → 100

Iterations

Iter	Nodes
done	5001
3	2036
2	877
1	259
0	108

prune503.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite24.0ms

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)
5.0ms	(/ 1 (log base))
17.0ms	(* (log (hypot re im)) (/ 1 (log base)))

series354.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(hypot re im)
162.0ms	(/ 1 (log base))
140.0ms	(* (log (hypot re im)) (/ 1 (log base)))

simplify2.7s

Counts

101 → 101

Iterations

Iter	Nodes
done	5009
4	3120
3	1330
2	713
1	253
0	125

prune346.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes399.0ms

Accuracy

0% (0.3b 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	10

end0.0ms

sample3.4s

Algorithm

intervals

Results

1.7s	8083×	body	80	nan
1.3s	8000×	body	80	valid