Details

sample54.0ms

Algorithm

intervals

Results

13.0ms	34×	body	1280	valid
12.0ms	181×	body	80	valid
8.0ms	30×	body	640	valid
5.0ms	23×	body	320	valid
1.0ms	6×	body	160	valid

simplify85.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	12	8
2	24	8
3	48	8
4	71	8
5	79	8
done	79	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.5b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 83

Calls

3 calls:

20.0ms	(* x (/ (sin y) y))
11.0ms	(/ (sin y) y)
21.0ms	(/ (* x (/ (sin y) y)) z)

series217.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(* x (/ (sin y) y))
38.0ms	(/ (sin y) y)
109.0ms	(/ (* x (/ (sin y) y)) z)

simplify878.0ms

Counts

92 → 92

Iterations

Useful iterations: 2 (253.0ms)

Iter	Nodes	Cost
0	139	893
1	346	861
2	1728	759
done	5001	759

prune291.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin y) y)
0.1b	(/ (/ (sin y) y) z)
2.0b	(* x (/ (/ (sin y) y) z))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

153×	`times-frac`
98×	`add-sqr-sqrt`
89×	`add-cube-cbrt` `*-un-lft-identity`
43×	`associate-r`
19×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/l*`
10×	`div-inv`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r*`
5×	`pow1`
3×	`associate-l` `prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `clear-num`
1×	`associate-r/` `pow-prod-down` `-commutative` `associate-/l/`

Counts

3 → 162

Calls

3 calls:

9.0ms	(/ (sin y) y)
19.0ms	(/ (/ (sin y) y) z)
39.0ms	(* x (/ (/ (sin y) y) z))

series190.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(/ (sin y) y)
50.0ms	(/ (/ (sin y) y) z)
95.0ms	(* x (/ (/ (sin y) y) z))

simplify1.7s

Counts

171 → 171

Iterations

Useful iterations: 2 (608.0ms)

Iter	Nodes	Cost
0	248	2083
1	666	1969
2	3317	1863
done	5001	1863

prune577.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (/ y (sin y)))
0.1b	(/ y (sin y))
0.1b	(/ (/ 1 (/ y (sin y))) z)
2.0b	(* x (/ (/ 1 (/ y (sin y))) z))

rewrite202.0ms

Algorithm

rewrite-expression-head

Rules

821×	`times-frac`
411×	`add-sqr-sqrt`
392×	`*-un-lft-identity`
390×	`add-cube-cbrt`
136×	`associate-r`
64×	`add-exp-log`
50×	`associate-/l*`
36×	`div-exp` `div-inv`
34×	`add-cbrt-cube`
19×	`associate-/r*`
16×	`cbrt-undiv`
8×	`prod-exp` `associate-/r/`
7×	`pow1`
6×	`rec-exp` `1-exp` `unswap-sqr`
4×	`cbrt-unprod` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
1×	`pow-flip` `associate-r/` `pow-prod-down` `-commutative` `associate-/l/` `inv-pow`

Counts

4 → 470

Calls

4 calls:

18.0ms	(/ 1 (/ y (sin y)))
12.0ms	(/ y (sin y))
38.0ms	(/ (/ 1 (/ y (sin y))) z)
90.0ms	(* x (/ (/ 1 (/ y (sin y))) z))

series204.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(/ 1 (/ y (sin y)))
26.0ms	(/ y (sin y))
43.0ms	(/ (/ 1 (/ y (sin y))) z)
105.0ms	(* x (/ (/ 1 (/ y (sin y))) z))

simplify1.2s

Counts

482 → 482

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	645	7755
1	1857	6430
done	5001	6144

prune1.3s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (/ 1 (* y (/ 1 (sin y)))) z)
0.1b	(/ 1 (sin y))
0.2b	(* y (/ 1 (sin y)))
2.0b	(* x (/ (/ 1 (* y (/ 1 (sin y)))) z))

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

139×	`add-exp-log`
96×	`times-frac`
68×	`div-exp`
67×	`add-sqr-sqrt`
56×	`*-un-lft-identity`
55×	`add-cube-cbrt`
45×	`prod-exp` `add-cbrt-cube`
44×	`associate-r`
18×	`cbrt-undiv` `rec-exp` `1-exp`
14×	`associate-/r/`
12×	`associate-/l*`
11×	`cbrt-unprod` `div-inv`
9×	`pow1` `associate-*r/`
8×	`un-div-inv`
6×	`associate-l` `associate-/r*`
5×	`unswap-sqr`
4×	`add-log-exp`
2×	`frac-2neg` `pow-prod-down` `clear-num` `*-commutative`
1×	`pow-flip` `associate-/l/` `inv-pow`

Counts

4 → 205

Calls

4 calls:

28.0ms	(/ (/ 1 (* y (/ 1 (sin y)))) z)
7.0ms	(/ 1 (sin y))
20.0ms	(* y (/ 1 (sin y)))
86.0ms	(* x (/ (/ 1 (* y (/ 1 (sin y)))) z))

series210.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(/ (/ 1 (* y (/ 1 (sin y)))) z)
20.0ms	(/ 1 (sin y))
47.0ms	(* y (/ 1 (sin y)))
95.0ms	(* x (/ (/ 1 (* y (/ 1 (sin y)))) z))

simplify2.5s

Counts

217 → 217

Iterations

Useful iterations: 2 (758.0ms)

Iter	Nodes	Cost
0	301	2822
1	847	2448
2	4275	1759
done	5001	1759

prune525.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes269.0ms

Accuracy

36% (1.6b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 2.6b

bsearch2.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	29
1	24	29
done	24	29

end0.0ms

sample2.4s

Algorithm

intervals

Results

744.0ms	1044×	body	640	valid
548.0ms	962×	body	1280	valid
518.0ms	5886×	body	80	valid
108.0ms	542×	body	320	valid
93.0ms	285×	body	160	valid