Details

sample46.0ms

Algorithm

intervals

Results

12.0ms	178×	body	80	valid
11.0ms	27×	body	1280	valid
8.0ms	28×	body	640	valid
3.0ms	13×	body	320	valid
1.0ms	10×	body	160	valid

simplify14.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	17
5	17
4	16
3	14
2	12
1	8
0	5

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.2b	(/ (sin y) y)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 61

Calls

2 calls:

15.0ms	(* x (/ (sin y) y))
11.0ms	(/ (sin y) y)

series112.0ms

Counts

2 → 6

Calls

2 calls:

78.0ms	(* x (/ (sin y) y))
33.0ms	(/ (sin y) y)

simplify1.4s

Counts

67 → 67

Iterations

Iter	Nodes
done	5000
3	3095
2	755
1	229
0	100

prune247.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log`
18×	`add-sqr-sqrt`
16×	`add-cbrt-cube`
14×	`associate-r`
13×	`prod-exp`
12×	`*-un-lft-identity`
11×	`times-frac` `add-cube-cbrt`
9×	`pow1`
7×	`cbrt-unprod`
6×	`associate-l`
4×	`div-exp` `pow-prod-down` `associate-*r/`
3×	`unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `un-div-inv` `*-commutative` `insert-posit16` `add-log-exp`
1×	`div-inv`

Counts

2 → 62

Calls

2 calls:

31.0ms	(* x (* (sin y) (/ 1 y)))
17.0ms	(* (sin y) (/ 1 y))

series114.0ms

Counts

2 → 6

Calls

2 calls:

84.0ms	(* x (* (sin y) (/ 1 y)))
30.0ms	(* (sin y) (/ 1 y))

simplify2.1s

Counts

68 → 68

Iterations

Iter	Nodes
done	5001
3	2818
2	1001
1	288
0	115

prune156.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
103×	`add-sqr-sqrt`
91×	`*-un-lft-identity`
89×	`add-cube-cbrt`
44×	`associate-r`
35×	`add-exp-log`
19×	`add-cbrt-cube`
16×	`associate-/r*`
15×	`div-exp`
10×	`div-inv`
7×	`cbrt-undiv` `prod-exp`
6×	`pow1` `associate-/l*`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-/r/`
1×	`pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

3 → 179

Calls

3 calls:

5.0ms	(/ y (sin y))
30.0ms	(* x (/ 1 (/ y (sin y))))
11.0ms	(/ 1 (/ y (sin y)))

series125.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ y (sin y))
59.0ms	(* x (/ 1 (/ y (sin y))))
33.0ms	(/ 1 (/ y (sin y)))

simplify1.8s

Counts

188 → 188

Iterations

Iter	Nodes
done	5001
2	1797
1	636
0	241

prune566.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.2b	(/ (sin y) y)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 61

Calls

2 calls:

22.0ms	(* x (/ (sin y) y))
13.0ms	(/ (sin y) y)

series109.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(* x (/ (sin y) y))
45.0ms	(/ (sin y) y)

simplify1.5s

Counts

67 → 67

Iterations

Iter	Nodes
done	5000
3	3095
2	755
1	229
0	100

prune186.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes124.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample1.5s

Algorithm

intervals

Results

456.0ms	5200×	body	80	valid
417.0ms	882×	body	1280	valid
350.0ms	1024×	body	640	valid
121.0ms	586×	body	320	valid
39.0ms	308×	body	160	valid