Details

sample169.0ms

Algorithm

intervals

Results

51.0ms	335×	body	80	valid
43.0ms	54×	body	1280	valid
33.0ms	57×	body	640	valid
18.0ms	44×	body	320	valid
7.0ms	22×	body	160	valid

simplify2.4s

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: 17.3b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
17.3b	(/ (* (sin x) (sinh y)) x)

rewrite53.0ms

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*` `insert-posit16` `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 → 58

Calls

3 calls:

3.0ms	(sinh y)
22.0ms	(* (sin x) (sinh y))
26.0ms	(/ (* (sin x) (sinh y)) x)

series339.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(sinh y)
124.0ms	(* (sin x) (sinh y))
130.0ms	(/ (* (sin x) (sinh y)) x)

simplify1.3s

Counts

67 → 67

Iterations

Iter	Nodes
done	5001
2	1013
1	297
0	125

prune298.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (/ (sinh y) x))
0.2b	(/ (sinh y) x)

rewrite29.0ms

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` `insert-posit16` `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 → 77

Calls

3 calls:

3.0ms	(sinh y)
17.0ms	(* (sin x) (/ (sinh y) x))
7.0ms	(/ (sinh y) x)

series306.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(sinh y)
126.0ms	(* (sin x) (/ (sinh y) x))
114.0ms	(/ (sinh y) x)

simplify2.1s

Counts

86 → 86

Iterations

Iter	Nodes
done	5031
3	3558
2	1103
1	363
0	149

prune399.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.2b	(/ x (sinh y))
0.6b	(/ (sin x) (/ x (sinh y)))

rewrite22.0ms

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×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg`

Counts

3 → 119

Calls

3 calls:

1.0ms	(sinh y)
5.0ms	(/ x (sinh y))
11.0ms	(/ (sin x) (/ x (sinh y)))

series407.0ms

Counts

3 → 9

Calls

3 calls:

111.0ms	(sinh y)
139.0ms	(/ x (sinh y))
156.0ms	(/ (sin x) (/ x (sinh y)))

simplify1.6s

Counts

128 → 128

Iterations

Iter	Nodes
done	5000
2	1683
1	546
0	224

prune667.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(/ (sin x) x)
0.3b	(* (sinh y) (/ (sin x) x))

rewrite46.0ms

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

Counts

3 → 78

Calls

3 calls:

3.0ms	(sinh y)
17.0ms	(/ (sin x) x)
24.0ms	(* (sinh y) (/ (sin x) x))

series279.0ms

Counts

3 → 9

Calls

3 calls:

101.0ms	(sinh y)
36.0ms	(/ (sin x) x)
142.0ms	(* (sinh y) (/ (sin x) x))

simplify3.5s

Counts

87 → 87

Iterations

Iter	Nodes
done	5001
3	4405
2	1137
1	333
0	143

prune404.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

regimes128.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample5.8s

Algorithm

intervals

Results

1.6s	1801×	body	1280	valid
1.5s	10225×	body	80	valid
1.2s	2002×	body	640	valid
879.0ms	1085×	body	320	valid
188.0ms	621×	body	160	valid