Details

sample137.0ms

Algorithm

intervals

Results

32.0ms	53×	body	1280	valid
30.0ms	347×	body	80	valid
21.0ms	52×	body	640	valid
9.0ms	30×	body	320	valid
3.0ms	15×	body	160	valid

simplify4.6s

Counts

1 → 1

Iterations

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.6b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
14.5b	(/ (* (sin x) (sinh y)) x)

rewrite58.0ms

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:

2.0ms	(sinh y)
26.0ms	(* (sin x) (sinh y))
27.0ms	(/ (* (sin x) (sinh y)) x)

series465.0ms

Counts

3 → 9

Calls

3 calls:

109.0ms	(sinh y)
169.0ms	(* (sin x) (sinh y))
186.0ms	(/ (* (sin x) (sinh y)) x)

simplify2.3s

Counts

67 → 67

Iterations

Iter	Nodes
done	5001
2	1013
1	297
0	125

prune837.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
53×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/r*`
10×	`add-cbrt-cube` `add-exp-log`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
3×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`sinh-def` `clear-num` `frac-2neg`
1×	`associate-/r/` `associate-/l/`

Counts

3 → 115

Calls

3 calls:

4.0ms	(sinh y)
28.0ms	(/ (sinh y) (/ x (sin x)))
8.0ms	(/ x (sin x))

series379.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(sinh y)
202.0ms	(/ (sinh y) (/ x (sin x)))
83.0ms	(/ x (sin x))

simplify3.0s

Counts

124 → 124

Iterations

Iter	Nodes
done	5000
2	1572
1	530
0	213

prune1.7s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize42.0ms

Local error

Found 3 expressions with local error:

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

rewrite84.0ms

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:

4.0ms	(sinh y)
47.0ms	(* (sinh y) (/ (sin x) x))
25.0ms	(/ (sin x) x)

series419.0ms

Counts

3 → 9

Calls

3 calls:

106.0ms	(sinh y)
231.0ms	(* (sinh y) (/ (sin x) x))
82.0ms	(/ (sin x) x)

simplify6.0s

Counts

87 → 87

Iterations

Iter	Nodes
done	5008
3	3669
2	1131
1	333
0	143

prune1.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize59.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (* y y) y)
0.1b	(/ (fma (pow y 5) 1/120 (fma (* (* y y) y) 1/6 y)) (/ x (sin x)))
0.1b	(/ x (sin x))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
55×	`add-sqr-sqrt`
54×	`*-un-lft-identity` `add-cube-cbrt`
22×	`pow1`
16×	`associate-/r*`
15×	`add-cbrt-cube` `add-exp-log`
6×	`pow-plus` `pow-prod-up` `div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
3×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow2` `clear-num` `frac-2neg` `pow-sqr`
1×	`associate-l` `pow3` `associate-/r/` `*-commutative` `unswap-sqr`

Counts

3 → 134

Calls

3 calls:

26.0ms	(* (* y y) y)
20.0ms	(/ (fma (pow y 5) 1/120 (fma (* (* y y) y) 1/6 y)) (/ x (sin x)))
16.0ms	(/ x (sin x))

series413.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(* (* y y) y)
255.0ms	(/ (fma (pow y 5) 1/120 (fma (* (* y y) y) 1/6 y)) (/ x (sin x)))
101.0ms	(/ x (sin x))

simplify3.7s

Counts

143 → 143

Iterations

Iter	Nodes
done	5004
2	1693
1	532
0	223

prune1.7s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes506.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample4.6s

Algorithm

intervals

Results

1.3s	1921×	body	1280	valid
1.0s	10470×	body	80	valid
869.0ms	1937×	body	640	valid
480.0ms	558×	body	160	valid
326.0ms	1114×	body	320	valid