Details

sample157.0ms

Algorithm

intervals

Results

45.0ms	79×	body	1280	valid
32.0ms	59×	body	640	valid
30.0ms	348×	body	80	valid
12.0ms	41×	body	320	valid
4.0ms	21×	body	160	valid

simplify4.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	1703
6	620
5	247
4	128
3	62
2	30
1	15
0	6

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.5b

localize69.0ms

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)

rewrite115.0ms

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×	`sinh-def` `associate-/r` `times-frac` `associate-r` `associate-l*` `insert-posit16` `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 → 52

Calls

3 calls:

8.0ms	(sinh y)
59.0ms	(* (sin x) (sinh y))
44.0ms	(/ (* (sin x) (sinh y)) x)

series540.0ms

Counts

3 → 9

Calls

3 calls:

118.0ms	(sinh y)
199.0ms	(* (sin x) (sinh y))
224.0ms	(/ (* (sin x) (sinh y)) x)

simplify2.6s

Counts

61 → 61

Iterations

Iter	Nodes
done	5002
2	980
1	287
0	119

prune681.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize65.0ms

Local error

Found 3 expressions with local error:

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

rewrite80.0ms

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:

29.0ms	(/ (sinh y) x)
4.0ms	(sinh y)
44.0ms	(* (sin x) (/ (sinh y) x))

series497.0ms

Counts

3 → 9

Calls

3 calls:

169.0ms	(/ (sinh y) x)
120.0ms	(sinh y)
208.0ms	(* (sin x) (/ (sinh y) x))

simplify6.7s

Counts

80 → 80

Iterations

Iter	Nodes
done	5040
3	3560
2	1034
1	343
0	143

prune1.0s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize216.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ (sinh y) x)) (cbrt (/ (sinh y) x)))
12.8b	(cbrt (/ (sinh y) x))
12.8b	(cbrt (/ (sinh y) x))
12.8b	(cbrt (/ (sinh y) x))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`*-un-lft-identity` `add-cube-cbrt`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 148

Calls

4 calls:

106.0ms	(* (cbrt (/ (sinh y) x)) (cbrt (/ (sinh y) x)))
5.0ms	(cbrt (/ (sinh y) x))
5.0ms	(cbrt (/ (sinh y) x))
5.0ms	(cbrt (/ (sinh y) x))

series1.7s

Counts

4 → 12

Calls

4 calls:

472.0ms	(* (cbrt (/ (sinh y) x)) (cbrt (/ (sinh y) x)))
436.0ms	(cbrt (/ (sinh y) x))
433.0ms	(cbrt (/ (sinh y) x))
404.0ms	(cbrt (/ (sinh y) x))

simplify4.3s

Counts

160 → 160

Iterations

Iter	Nodes
done	5000
3	2010
2	817
1	366
0	193

prune2.0s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize81.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (sinh y))
0.0b	(sinh y)
1.4b	(/ (sin x) (/ x (sinh y)))

rewrite97.0ms

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:

17.0ms	(/ x (sinh y))
8.0ms	(sinh y)
63.0ms	(/ (sin x) (/ x (sinh y)))

series610.0ms

Counts

3 → 9

Calls

3 calls:

300.0ms	(/ x (sinh y))
124.0ms	(sinh y)
186.0ms	(/ (sin x) (/ x (sinh y)))

simplify3.9s

Counts

122 → 122

Iterations

Iter	Nodes
done	5000
2	1741
1	533
0	218

prune1.3s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes470.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample5.8s

Algorithm

intervals

Results

1.8s	1946×	body	1280	valid
1.4s	2029×	body	640	valid
1.3s	10491×	body	80	valid
501.0ms	1125×	body	320	valid
135.0ms	632×	body	160	valid