Details

sample71.0ms

Algorithm

intervals

Results

30.0ms	197×	body	80	valid
13.0ms	25×	body	1280	valid
12.0ms	31×	body	640	valid
4.0ms	14×	body	320	valid
3.0ms	14×	body	160	valid

simplify35.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	79
5	79
4	71
3	48
2	24
1	12
0	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.0b

localize13.0ms

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)

rewrite33.0ms

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:

9.0ms	(* x (/ (sin y) y))
7.0ms	(/ (sin y) y)
15.0ms	(/ (* x (/ (sin y) y)) z)

series239.0ms

Counts

3 → 9

Calls

3 calls:

101.0ms	(* x (/ (sin y) y))
32.0ms	(/ (sin y) y)
105.0ms	(/ (* x (/ (sin y) y)) z)

simplify1.5s

Counts

95 → 95

Iterations

Iter	Nodes
done	5000
2	1222
1	341
0	142

prune438.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize13.0ms

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)))

rewrite56.0ms

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:

18.0ms	(/ z (/ (sin y) y))
15.0ms	(/ (sin y) y)
10.0ms	(/ x (/ z (/ (sin y) y)))

series276.0ms

Counts

3 → 9

Calls

3 calls:

124.0ms	(/ z (/ (sin y) y))
36.0ms	(/ (sin y) y)
116.0ms	(/ x (/ z (/ (sin y) y)))

simplify1.4s

Counts

305 → 305

Iterations

Iter	Nodes
done	5000
1	1345
0	494

prune1.6s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

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:

7.0ms	(/ (sin y) y)
13.0ms	(* (/ x z) (/ (sin y) y))

series169.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(/ (sin y) y)
115.0ms	(* (/ x z) (/ (sin y) y))

simplify1.2s

Counts

85 → 85

Iterations

Iter	Nodes
done	5001
2	1463
1	389
0	142

prune361.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (/ (sin y) y))
0.3b	(cbrt (/ (sin y) y))
0.3b	(cbrt (/ (sin y) y))
2.4b	(/ x (/ z (* (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (cbrt (/ (sin y) y)))))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

81×	`times-frac`
51×	`cbrt-div`
48×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
39×	`cbrt-prod`
29×	`associate-/r/`
20×	`frac-times` `associate-*l/`
18×	`add-exp-log`
14×	`associate-/r*` `add-cbrt-cube`
12×	`associate-*r/`
8×	`div-inv`
7×	`cbrt-undiv` `div-exp`
4×	`pow1` `insert-posit16` `add-log-exp`
3×	`pow1/3` `prod-exp` `cbrt-unprod` `associate-/l*`
1×	`clear-num` `frac-2neg`

Counts

4 → 148

Calls

4 calls:

2.0ms	(cbrt (/ (sin y) y))
2.0ms	(cbrt (/ (sin y) y))
2.0ms	(cbrt (/ (sin y) y))
51.0ms	(/ x (/ z (* (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (cbrt (/ (sin y) y)))))

series659.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(cbrt (/ (sin y) y))
141.0ms	(cbrt (/ (sin y) y))
191.0ms	(cbrt (/ (sin y) y))
157.0ms	(/ x (/ z (* (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (cbrt (/ (sin y) y)))))

simplify1.5s

Counts

160 → 160

Iterations

Iter	Nodes
done	5011
2	1875
1	606
0	257

prune694.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes311.0ms

Accuracy

39.7% (1.7b remaining)

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

bsearch56.0ms

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

sample3.4s

Algorithm

intervals

Results

1.2s	5852×	body	80	valid
893.0ms	1009×	body	1280	valid
701.0ms	1031×	body	640	valid
249.0ms	559×	body	320	valid
83.0ms	317×	body	160	valid