Details

sample126.0ms

Algorithm

intervals

Results

43.0ms	77×	body	640	valid
40.0ms	88×	body	1280	valid
18.0ms	254×	body	80	valid
7.0ms	34×	body	320	valid
2.0ms	14×	body	160	valid

simplify2.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5012
9	4149
8	1946
7	941
6	316
5	142
4	89
3	50
2	28
1	15
0	6

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (/ (sin y) y))
0.1b	(/ (sin y) y)

rewrite31.0ms

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

Counts

2 → 67

Calls

2 calls:

16.0ms	(* (cosh x) (/ (sin y) y))
9.0ms	(/ (sin y) y)

series145.0ms

Counts

2 → 6

Calls

2 calls:

108.0ms	(* (cosh x) (/ (sin y) y))
37.0ms	(/ (sin y) y)

simplify1.7s

Counts

73 → 73

Iterations

Iter	Nodes
done	5002
3	3174
2	963
1	284
0	126

prune299.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (cosh x) (/ 1 (/ y (sin y))))
0.1b	(/ 1 (/ y (sin y)))
0.1b	(/ y (sin y))

rewrite67.0ms

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×	`expm1-log1p-u` `associate-l` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`cosh-def` `clear-num` `frac-2neg` `associate-/r/`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `un-div-inv` `*-commutative` `pow-flip` `inv-pow`

Counts

3 → 187

Calls

3 calls:

34.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
21.0ms	(/ 1 (/ y (sin y)))
6.0ms	(/ y (sin y))

series148.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
32.0ms	(/ 1 (/ y (sin y)))
33.0ms	(/ y (sin y))

simplify2.0s

Counts

196 → 196

Iterations

Iter	Nodes
done	5000
2	2165
1	696
0	268

prune734.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cosh x) (/ 1 (* y (/ 1 (sin y)))))
0.1b	(/ 1 (* y (/ 1 (sin y))))
0.1b	(/ 1 (sin y))
0.2b	(* y (/ 1 (sin y)))

rewrite111.0ms

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`
22×	`associate-r`
18×	`rec-exp` `1-exp`
12×	`pow1`
10×	`cbrt-undiv` `cbrt-unprod`
6×	`associate-l` `associate-/l*`
4×	`expm1-log1p-u` `associate-/r` `associate-r/` `associate-/r/` `un-div-inv` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-flip`
2×	`cosh-def` `clear-num` `frac-2neg` `*-commutative` `inv-pow`
1×	`frac-times` `associate-*l/`

Counts

4 → 165

Calls

4 calls:

57.0ms	(* (cosh x) (/ 1 (* y (/ 1 (sin y)))))
24.0ms	(/ 1 (* y (/ 1 (sin y))))
6.0ms	(/ 1 (sin y))
17.0ms	(* y (/ 1 (sin y)))

series214.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(* (cosh x) (/ 1 (* y (/ 1 (sin y)))))
46.0ms	(/ 1 (* y (/ 1 (sin y))))
20.0ms	(/ 1 (sin y))
40.0ms	(* y (/ 1 (sin y)))

simplify1.7s

Counts

177 → 177

Iterations

Iter	Nodes
done	5001
2	1444
1	528
0	225

prune479.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (cosh x) y)
0.5b	(* (/ (cosh x) y) (sin y))

rewrite36.0ms

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×	`cosh-def` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `-commutative` `associate-/l/`

Counts

2 → 66

Calls

2 calls:

10.0ms	(/ (cosh x) y)
25.0ms	(* (/ (cosh x) y) (sin y))

series175.0ms

Counts

2 → 6

Calls

2 calls:

85.0ms	(/ (cosh x) y)
90.0ms	(* (/ (cosh x) y) (sin y))

simplify2.1s

Counts

72 → 72

Iterations

Iter	Nodes
done	5016
3	2995
2	886
1	300
0	134

prune248.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes278.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample4.7s

Algorithm

intervals

Results

1.6s	2953×	body	1280	valid
1.2s	2580×	body	640	valid
752.0ms	8482×	body	80	valid
439.0ms	630×	body	160	valid
429.0ms	1244×	body	320	valid