Details

sample79.0ms

Algorithm

intervals

Results

26.0ms	181×	body	80	valid
17.0ms	34×	body	1280	valid
11.0ms	30×	body	640	valid
6.0ms	23×	body	320	valid
1.0ms	6×	body	160	valid

simplify40.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.5b

localize10.0ms

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)

rewrite62.0ms

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×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-*r/` `clear-num` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 89

Calls

3 calls:

21.0ms	(* x (/ (sin y) y))
9.0ms	(/ (sin y) y)
25.0ms	(/ (* x (/ (sin y) y)) z)

series261.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(* x (/ (sin y) y))
47.0ms	(/ (sin y) y)
132.0ms	(/ (* x (/ (sin y) y)) z)

simplify943.0ms

Counts

98 → 98

Iterations

Useful iterations: done (940.0ms)

Iter	Nodes	Cost
0	145	935
1	352	902
2	1725	800
done	5001	797

prune303.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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))

rewrite78.0ms

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×	`expm1-log1p-u` `associate-l` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `clear-num`
1×	`associate-r/` `pow-prod-down` `-commutative` `associate-/l/`

Counts

3 → 168

Calls

3 calls:

8.0ms	(/ (sin y) y)
19.0ms	(/ (/ (sin y) y) z)
43.0ms	(* x (/ (/ (sin y) y) z))

series216.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ (sin y) y)
63.0ms	(/ (/ (sin y) y) z)
120.0ms	(* x (/ (/ (sin y) y) z))

simplify1.5s

Counts

177 → 177

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	254	2125
1	662	2009
2	3224	1903
done	5000	1900

prune570.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize21.0ms

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))

rewrite211.0ms

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×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `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 → 478

Calls

4 calls:

14.0ms	(/ 1 (/ y (sin y)))
11.0ms	(/ y (sin y))
43.0ms	(/ (/ 1 (/ y (sin y))) z)
92.0ms	(* x (/ (/ 1 (/ y (sin y))) z))

series215.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(/ 1 (/ y (sin y)))
39.0ms	(/ y (sin y))
50.0ms	(/ (/ 1 (/ y (sin y))) z)
89.0ms	(* x (/ (/ 1 (/ y (sin y))) z))

simplify1.2s

Counts

490 → 490

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	653	7819
1	1874	6490
done	5001	6204

prune1.5s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize21.0ms

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))

rewrite197.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `pow-prod-down` `clear-num` `*-commutative`
1×	`pow-flip` `associate-/l/` `inv-pow`

Counts

4 → 213

Calls

4 calls:

36.0ms	(/ (/ 1 (* y (/ 1 (sin y)))) z)
7.0ms	(/ 1 (sin y))
21.0ms	(* y (/ 1 (sin y)))
112.0ms	(* x (/ (/ 1 (* y (/ 1 (sin y)))) z))

series201.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(/ (/ 1 (* y (/ 1 (sin y)))) z)
21.0ms	(/ 1 (sin y))
36.0ms	(* y (/ 1 (sin y)))
98.0ms	(* x (/ (/ 1 (* y (/ 1 (sin y)))) z))

simplify2.4s

Counts

225 → 225

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	309	2894
1	860	2510
2	4395	1812
done	5000	1808

prune601.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes189.0ms

Accuracy

36% (1.6b remaining)

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

bsearch2.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample2.8s

Algorithm

intervals

Results

669.0ms	5886×	body	80	valid
603.0ms	962×	body	1280	valid
472.0ms	1044×	body	640	valid
426.0ms	285×	body	160	valid
188.0ms	542×	body	320	valid