Details

sample129.0ms

Algorithm

intervals

Results

46.0ms	89×	body	1280	valid
33.0ms	296×	body	80	valid
26.0ms	75×	body	640	valid
7.0ms	28×	body	320	valid
2.0ms	15×	body	160	valid

simplify2.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5004
7	1809
6	607
5	236
4	126
3	65
2	30
1	15
0	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.0b	(/ (sinh y) y)
0.0b	(* (cos x) (/ (sinh y) y))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 71

Calls

3 calls:

1.0ms	(sinh y)
7.0ms	(/ (sinh y) y)
19.0ms	(* (cos x) (/ (sinh y) y))

series378.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(sinh y)
146.0ms	(/ (sinh y) y)
153.0ms	(* (cos x) (/ (sinh y) y))

simplify2.6s

Counts

80 → 80

Iterations

Iter	Nodes
done	5006
3	3999
2	1015
1	336
0	140

prune389.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.0b	(/ y (sinh y))
0.0b	(/ (cos x) (/ y (sinh y)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

87×	`times-frac`
54×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
17×	`associate-/r*`
10×	`add-cbrt-cube` `add-exp-log`
6×	`sinh-def` `associate-/r/` `div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg`

Counts

3 → 113

Calls

3 calls:

1.0ms	(sinh y)
6.0ms	(/ y (sinh y))
21.0ms	(/ (cos x) (/ y (sinh y)))

series375.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(sinh y)
144.0ms	(/ y (sinh y))
137.0ms	(/ (cos x) (/ y (sinh y)))

simplify1.5s

Counts

122 → 122

Iterations

Iter	Nodes
done	5000
2	1619
1	541
0	220

prune604.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cos x) (+ (+ (* (* 1/120 (* y y)) (* y y)) 1) (* (* y y) 1/6)))
0.1b	(* (* 1/120 (* y y)) (* y y))
0.1b	(* 1/120 (* y y))
0.2b	(* (* y y) 1/6)

rewrite807.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-cbrt-cube` `add-exp-log`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`add-sqr-sqrt`
8×	`-un-lft-identity` `associate-r` `associate-l*` `add-cube-cbrt`
4×	`*-commutative` `insert-posit16` `add-log-exp`
3×	`unswap-sqr`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`

Counts

4 → 92

Calls

4 calls:

713.0ms	(* (cos x) (+ (+ (* (* 1/120 (* y y)) (* y y)) 1) (* (* y y) 1/6)))
57.0ms	(* (* 1/120 (* y y)) (* y y))
13.0ms	(* 1/120 (* y y))
22.0ms	(* (* y y) 1/6)

series353.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(* (cos x) (+ (+ (* (* 1/120 (* y y)) (* y y)) 1) (* (* y y) 1/6)))
76.0ms	(* (* 1/120 (* y y)) (* y y))
43.0ms	(* 1/120 (* y y))
48.0ms	(* (* y y) 1/6)

simplify1.9s

Counts

104 → 104

Iterations

Iter	Nodes
done	5000
2	1753
1	452
0	142

prune388.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes104.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
0	6

end0.0ms

sample6.1s

Algorithm

intervals

Results

2.9s	2896×	body	1280	valid
1.1s	2318×	body	640	valid
996.0ms	8579×	body	80	valid
510.0ms	1242×	body	320	valid
201.0ms	654×	body	160	valid