Details

sample74.0ms

Algorithm

intervals

Results

20.0ms	30×	body	1280	valid
20.0ms	167×	body	80	valid
13.0ms	27×	body	640	valid
6.0ms	17×	body	320	valid
4.0ms	15×	body	160	valid

simplify11.0ms

Counts

1 → 1

Iterations

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

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

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×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `-commutative`

Counts

2 → 65

Calls

2 calls:

18.0ms	(* x (/ (sin y) y))
9.0ms	(/ (sin y) y)

series148.0ms

Counts

2 → 6

Calls

2 calls:

99.0ms	(* x (/ (sin y) y))
49.0ms	(/ (sin y) y)

simplify2.0s

Counts

71 → 71

Iterations

Iter	Nodes
done	5088
3	4113
2	729
1	234
0	104

prune298.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (/ (sin y) y) x)
0.1b	(/ (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-l`
9×	`add-cbrt-cube` `add-exp-log`
4×	`pow1`
3×	`associate-/r` `associate-r` `associate-/l`
2×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `-commutative`

Counts

2 → 65

Calls

2 calls:

16.0ms	(* (/ (sin y) y) x)
10.0ms	(/ (sin y) y)

series97.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(* (/ (sin y) y) x)
34.0ms	(/ (sin y) y)

simplify1.7s

Counts

71 → 71

Iterations

Iter	Nodes
done	5092
3	3132
2	703
1	240
0	106

prune298.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
103×	`add-sqr-sqrt`
91×	`*-un-lft-identity`
89×	`add-cube-cbrt`
44×	`associate-l`
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×	`expm1-log1p-u` `associate-r` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-/r/`
1×	`pow-prod-down` `associate-l/` `-commutative` `pow-flip` `inv-pow`

Counts

3 → 184

Calls

3 calls:

28.0ms	(* (/ 1 (/ y (sin y))) x)
11.0ms	(/ 1 (/ y (sin y)))
7.0ms	(/ y (sin y))

series150.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(* (/ 1 (/ y (sin y))) x)
43.0ms	(/ 1 (/ y (sin y)))
48.0ms	(/ y (sin y))

simplify1.7s

Counts

193 → 193

Iterations

Iter	Nodes
done	5000
2	1639
1	658
0	246

prune642.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ 1 (* y (/ 1 (sin y)))) x)
0.1b	(/ 1 (* y (/ 1 (sin y))))
0.1b	(/ 1 (sin y))
0.5b	(* y (/ 1 (sin y)))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

104×	`add-exp-log`
44×	`prod-exp`
36×	`div-exp`
34×	`add-sqr-sqrt` `add-cbrt-cube`
26×	`*-un-lft-identity` `times-frac`
25×	`add-cube-cbrt`
18×	`rec-exp` `1-exp`
16×	`associate-r`
12×	`pow1` `associate-l`
10×	`cbrt-undiv` `cbrt-unprod`
6×	`associate-/l*`
4×	`expm1-log1p-u` `associate-/r*` `associate-/r/` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `associate-*r/` `un-div-inv` `pow-flip`
2×	`clear-num` `frac-2neg` `*-commutative` `inv-pow`
1×	`associate-*l/`

Counts

4 → 162

Calls

4 calls:

58.0ms	(* (/ 1 (* y (/ 1 (sin y)))) x)
26.0ms	(/ 1 (* y (/ 1 (sin y))))
8.0ms	(/ 1 (sin y))
14.0ms	(* y (/ 1 (sin y)))

series132.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (/ 1 (* y (/ 1 (sin y)))) x)
40.0ms	(/ 1 (* y (/ 1 (sin y))))
14.0ms	(/ 1 (sin y))
32.0ms	(* y (/ 1 (sin y)))

simplify2.2s

Counts

174 → 174

Iterations

Iter	Nodes
done	5001
2	1483
1	483
0	206

prune448.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes133.0ms

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

sample2.4s

Algorithm

intervals

Results

704.0ms	956×	body	1280	valid
639.0ms	5179×	body	80	valid
562.0ms	1029×	body	640	valid
263.0ms	533×	body	320	valid
71.0ms	303×	body	160	valid