Details

sample108.0ms

Algorithm

intervals

Results

26.0ms	356×	body	80	valid
25.0ms	53×	body	1280	valid
18.0ms	56×	body	640	valid
13.0ms	32×	body	320	valid
3.0ms	19×	body	160	valid

simplify2.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
7	1834
6	655
5	258
4	130
3	62
2	30
1	15
0	6

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.7b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
14.6b	(/ (* (sin x) (sinh y)) x)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-cbrt-cube` `add-exp-log`
9×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `add-cube-cbrt`
5×	`pow1`
3×	`expm1-log1p-u` `sinh-def` `associate-/r` `times-frac` `associate-r` `associate-l*` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-*r/` `cbrt-unprod`
1×	`clear-num` `frac-2neg` `pow-prod-down` `-commutative` `div-inv` `associate-/l` `unswap-sqr` `associate-/l/`

Counts

3 → 55

Calls

3 calls:

2.0ms	(sinh y)
15.0ms	(* (sin x) (sinh y))
18.0ms	(/ (* (sin x) (sinh y)) x)

series257.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(sinh y)
90.0ms	(* (sin x) (sinh y))
102.0ms	(/ (* (sin x) (sinh y)) x)

simplify1.1s

Counts

64 → 64

Iterations

Iter	Nodes
done	5000
2	1010
1	294
0	122

prune379.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.0b	(/ (sinh y) x)
0.2b	(* (sin x) (/ (sinh y) x))

rewrite23.0ms

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×	`expm1-log1p-u` `associate-/r` `associate-l` `log1p-expm1-u` `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 → 74

Calls

3 calls:

1.0ms	(sinh y)
6.0ms	(/ (sinh y) x)
15.0ms	(* (sin x) (/ (sinh y) x))

series290.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(sinh y)
100.0ms	(/ (sinh y) x)
112.0ms	(* (sin x) (/ (sinh y) x))

simplify2.4s

Counts

83 → 83

Iterations

Iter	Nodes
done	5009
3	3599
2	1089
1	357
0	146

prune385.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(sinh y)
0.4b	(/ (sin x) (/ x (sinh y)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
45×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
14×	`associate-/r*`
7×	`add-cbrt-cube` `add-exp-log`
5×	`sinh-def` `associate-/r/` `div-inv`
3×	`cbrt-undiv` `div-exp` `associate-/l*`
2×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
1×	`clear-num` `frac-2neg`

Counts

2 → 86

Calls

2 calls:

1.0ms	(sinh y)
12.0ms	(/ (sin x) (/ x (sinh y)))

series185.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(sinh y)
121.0ms	(/ (sin x) (/ x (sinh y)))

simplify1.4s

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
2	1505
1	497
0	200

prune604.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin x))
0.6b	(cbrt (sin x))
0.6b	(cbrt (sin x))
4.9b	(* (/ (* (cbrt (sin x)) (cbrt (sin x))) x) (* (cbrt (sin x)) (sinh y)))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log`
18×	`add-cbrt-cube`
11×	`prod-exp` `cbrt-unprod`
9×	`cbrt-prod` `add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cube-cbrt`
7×	`associate-l`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `pow1/3` `pow-prod-down` `associate-*r/`
2×	`sinh-def`
1×	`frac-times` `associate-r` `associate-l/` `-commutative` `div-inv`

Counts

4 → 74

Calls

4 calls:

2.0ms	(cbrt (sin x))
2.0ms	(cbrt (sin x))
2.0ms	(cbrt (sin x))
72.0ms	(* (/ (* (cbrt (sin x)) (cbrt (sin x))) x) (* (cbrt (sin x)) (sinh y)))

series539.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(cbrt (sin x))
149.0ms	(cbrt (sin x))
135.0ms	(cbrt (sin x))
125.0ms	(* (/ (* (cbrt (sin x)) (cbrt (sin x))) x) (* (cbrt (sin x)) (sinh y)))

simplify1.6s

Counts

86 → 86

Iterations

Iter	Nodes
done	5000
2	1430
1	372
0	130

prune342.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes181.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.0s	1968×	body	640	valid
993.0ms	10434×	body	80	valid
901.0ms	1881×	body	1280	valid
304.0ms	1159×	body	320	valid
75.0ms	571×	body	160	valid