Details

sample74.0ms

Algorithm

intervals

Results

20.0ms	197×	body	80	valid
16.0ms	25×	body	1280	valid
14.0ms	31×	body	640	valid
5.0ms	14×	body	320	valid
3.0ms	14×	body	160	valid

simplify80.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	78
6	78
5	76
4	65
3	40
2	22
1	12
0	7

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
3.0b	(/ (* x (/ (sin y) y)) z)

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`times-frac`
21×	`*-un-lft-identity` `add-cube-cbrt`
19×	`add-cbrt-cube` `add-exp-log`
13×	`associate-r`
6×	`cbrt-undiv` `associate-/r*` `div-exp`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `associate-/l*`
3×	`associate-l` `insert-posit16` `div-inv` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-*r/` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 86

Calls

3 calls:

19.0ms	(* x (/ (sin y) y))
16.0ms	(/ (sin y) y)
23.0ms	(/ (* x (/ (sin y) y)) z)

series207.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(* x (/ (sin y) y))
33.0ms	(/ (sin y) y)
101.0ms	(/ (* x (/ (sin y) y)) z)

simplify1.5s

Counts

95 → 95

Iterations

Iter	Nodes
done	5000
2	1184
1	341
0	142

prune426.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ z (/ (sin y) y))
0.1b	(/ (sin y) y)
2.4b	(/ x (/ z (/ (sin y) y)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

480×	`times-frac`
238×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
60×	`associate-/r*`
23×	`div-inv`
19×	`add-cbrt-cube` `add-exp-log`
10×	`cbrt-undiv` `div-exp`
9×	`associate-/l*`
6×	`associate-/r/`
3×	`pow1` `clear-num` `frac-2neg` `insert-posit16` `add-log-exp`

Counts

3 → 296

Calls

3 calls:

11.0ms	(/ z (/ (sin y) y))
14.0ms	(/ (sin y) y)
15.0ms	(/ x (/ z (/ (sin y) y)))

series218.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(/ z (/ (sin y) y))
33.0ms	(/ (sin y) y)
100.0ms	(/ x (/ z (/ (sin y) y)))

simplify1.3s

Counts

305 → 305

Iterations

Iter	Nodes
done	5001
1	1345
0	494

prune1.6s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (sin y) y)
2.7b	(* (/ x z) (/ (sin y) y))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
31×	`times-frac`
24×	`*-un-lft-identity` `add-cube-cbrt`
16×	`add-cbrt-cube` `add-exp-log`
13×	`associate-r` `associate-l`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `prod-exp` `cbrt-unprod` `unswap-sqr`
3×	`associate-/r` `div-inv` `associate-/l`
2×	`insert-posit16` `add-log-exp`
1×	`frac-times` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

2 → 79

Calls

2 calls:

15.0ms	(/ (sin y) y)
16.0ms	(* (/ x z) (/ (sin y) y))

series144.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ (sin y) y)
110.0ms	(* (/ x z) (/ (sin y) y))

simplify1.7s

Counts

85 → 85

Iterations

Iter	Nodes
done	5001
2	1513
1	389
0	142

prune364.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
0.3b	(/ 1 (/ z (* x (/ (sin y) y))))
2.9b	(/ z (* x (/ (sin y) y)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

58×	`times-frac`
54×	`add-exp-log`
44×	`add-sqr-sqrt`
39×	`*-un-lft-identity` `add-cube-cbrt`
34×	`add-cbrt-cube`
26×	`div-exp`
14×	`cbrt-undiv`
13×	`associate-r`
12×	`associate-/r*`
10×	`prod-exp`
9×	`associate-/l*`
8×	`div-inv`
7×	`pow1`
6×	`associate-*r/` `associate-/r/` `cbrt-unprod`
4×	`rec-exp` `1-exp` `insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-l`
2×	`unswap-sqr`
1×	`pow-prod-down` `*-commutative` `pow-flip` `inv-pow`

Counts

4 → 151

Calls

4 calls:

10.0ms	(* x (/ (sin y) y))
14.0ms	(/ (sin y) y)
24.0ms	(/ 1 (/ z (* x (/ (sin y) y))))
12.0ms	(/ z (* x (/ (sin y) y)))

series342.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(* x (/ (sin y) y))
33.0ms	(/ (sin y) y)
77.0ms	(/ 1 (/ z (* x (/ (sin y) y))))
143.0ms	(/ z (* x (/ (sin y) y)))

simplify1.4s

Counts

163 → 163

Iterations

Iter	Nodes
done	5000
2	1750
1	523
0	224

prune704.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes265.0ms

Accuracy

39.7% (1.7b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 2.9b

bsearch51.0ms

Steps

Iters	Range		Point
7	2.425931234435941e-65	3.9311786411183954e-64	3.883506706037952e-64

simplify2.0ms

Iterations

Iter	Nodes
done	17
1	17
0	14

end0.0ms

sample2.3s

Algorithm

intervals

Results

889.0ms	5852×	body	80	valid
583.0ms	1009×	body	1280	valid
401.0ms	1031×	body	640	valid
211.0ms	559×	body	320	valid
48.0ms	317×	body	160	valid