Details

sample39.0ms

Algorithm

intervals

Results

29.0ms

256×

body

valid

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	14
2	14
1	13
0	10

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize18.0ms

Local error

Found 1 expressions with local error:

0.6b	(/ (log (hypot re im)) (log 10))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 39

Calls

1 calls:

6.0ms

(/ (log (hypot re im)) (log 10))

series314.0ms

Counts

1 → 3

Calls

1 calls:

256.0ms

(/ (log (hypot re im)) (log 10))

simplify1.3s

Counts

42 → 42

Iterations

Iter	Nodes
done	2000
5	2000
4	1903
3	686
2	283
1	118
0	67

prune266.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.1b

localize39.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))
0.5b	(/ (log (hypot re im)) (sqrt (log 10)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

99×	`times-frac`
96×	`add-sqr-sqrt`
59×	`sqrt-prod`
56×	`*-un-lft-identity`
50×	`add-cube-cbrt`
32×	`associate-r`
31×	`pow1`
27×	`log-pow`
26×	`add-exp-log`
25×	`associate-l`
16×	`add-cbrt-cube`
15×	`unswap-sqr`
9×	`div-exp`
8×	`prod-exp`
7×	`associate-/r*`
5×	`cbrt-undiv`
4×	`cbrt-unprod` `associate-/l*`
3×	`div-inv`
2×	`expm1-log1p-u` `rec-exp` `1-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`frac-times` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

2 → 153

Calls

2 calls:

33.0ms	(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))
15.0ms	(/ (log (hypot re im)) (sqrt (log 10)))

series504.0ms

Counts

2 → 6

Calls

2 calls:

224.0ms	(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))
279.0ms	(/ (log (hypot re im)) (sqrt (log 10)))

simplify1.2s

Counts

159 → 159

Iterations

Iter	Nodes
done	2003
3	2003
2	1318
1	474
0	178

prune617.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (/ 1 (sqrt (log 10))) (* (log (hypot re im)) (/ 1 (sqrt (log 10)))))
0.3b	(* (log (hypot re im)) (/ 1 (sqrt (log 10))))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-exp-log`
46×	`times-frac`
43×	`add-sqr-sqrt`
40×	`prod-exp`
33×	`*-un-lft-identity`
31×	`add-cube-cbrt`
29×	`associate-l`
28×	`add-cbrt-cube`
26×	`associate-r` `sqrt-prod`
20×	`div-exp`
16×	`pow1`
12×	`cbrt-unprod`
10×	`rec-exp` `1-exp`
7×	`log-pow`
6×	`cbrt-undiv`
5×	`associate-*r/` `unswap-sqr`
4×	`pow-prod-down`
3×	`un-div-inv`
2×	`expm1-log1p-u` `frac-times` `*-commutative` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`associate-*l/`

Counts

2 → 124

Calls

2 calls:

58.0ms	(* (/ 1 (sqrt (log 10))) (* (log (hypot re im)) (/ 1 (sqrt (log 10)))))
13.0ms	(* (log (hypot re im)) (/ 1 (sqrt (log 10))))

series556.0ms

Counts

2 → 6

Calls

2 calls:

215.0ms	(* (/ 1 (sqrt (log 10))) (* (log (hypot re im)) (/ 1 (sqrt (log 10)))))
341.0ms	(* (log (hypot re im)) (/ 1 (sqrt (log 10))))

simplify1.3s

Counts

130 → 130

Iterations

Iter	Nodes
done	2039
3	2039
2	1269
1	467
0	178

prune478.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 3 expressions with local error:

0.3b

(* (sqrt (/ 1 (sqrt (log 10)))) (* (log (hypot re im)) (/ 1 (sqrt (log 10)))))

0.3b

(* (sqrt (/ 1 (sqrt (log 10)))) (* (sqrt (/ 1 (sqrt (log 10)))) (* (log (hypot re im)) (/ 1 (sqrt (log 10))))))

0.3b

(* (log (hypot re im)) (/ 1 (sqrt (log 10))))

rewrite241.0ms

Algorithm

rewrite-expression-head

Rules

88×	`sqrt-prod`
67×	`times-frac`
60×	`add-sqr-sqrt` `associate-l`
50×	`*-un-lft-identity`
49×	`add-exp-log`
48×	`add-cube-cbrt`
31×	`add-cbrt-cube`
29×	`pow1`
28×	`prod-exp`
27×	`associate-r`
18×	`associate-*r/`
16×	`cbrt-unprod`
15×	`sqrt-div`
11×	`frac-times`
10×	`pow-prod-down` `log-pow`
7×	`un-div-inv`
6×	`div-exp`
5×	`unswap-sqr`
4×	`associate-*l/`
3×	`expm1-log1p-u` `cbrt-undiv` `rec-exp` `1-exp` `*-commutative` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

3 → 173

Calls

3 calls:

37.0ms

(* (sqrt (/ 1 (sqrt (log 10)))) (* (log (hypot re im)) (/ 1 (sqrt (log 10)))))

175.0ms

(* (sqrt (/ 1 (sqrt (log 10)))) (* (sqrt (/ 1 (sqrt (log 10)))) (* (log (hypot re im)) (/ 1 (sqrt (log 10))))))

25.0ms

(* (log (hypot re im)) (/ 1 (sqrt (log 10))))

series1.3s

Counts

3 → 9

Calls

3 calls:

711.0ms

(* (sqrt (/ 1 (sqrt (log 10)))) (* (log (hypot re im)) (/ 1 (sqrt (log 10)))))

223.0ms

(* (sqrt (/ 1 (sqrt (log 10)))) (* (sqrt (/ 1 (sqrt (log 10)))) (* (log (hypot re im)) (/ 1 (sqrt (log 10))))))

322.0ms

(* (log (hypot re im)) (/ 1 (sqrt (log 10))))

simplify1.6s

Counts

182 → 182

Iterations

Iter	Nodes
done	2000
3	2000
2	1556
1	611
0	237

prune923.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes126.0ms

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	15
1	15
0	11

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.3s

8000×

body

valid