Details

sample114.0ms

Algorithm

intervals

Results

45.0ms	103×	body	1280	valid
23.0ms	78×	body	640	valid
16.0ms	245×	body	80	valid
6.0ms	34×	body	320	valid
3.0ms	19×	body	160	valid

simplify2.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	3986
6	802
5	260
4	135
3	67
2	30
1	15
0	6

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite30.0ms

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` `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 → 68

Calls

3 calls:

1.0ms	(sinh y)
7.0ms	(/ (sinh y) y)
20.0ms	(* (sin x) (/ (sinh y) y))

series418.0ms

Counts

3 → 9

Calls

3 calls:

103.0ms	(sinh y)
150.0ms	(/ (sinh y) y)
165.0ms	(* (sin x) (/ (sinh y) y))

simplify1.5s

Counts

77 → 77

Iterations

Iter	Nodes
done	5000
2	1679
1	345
0	140

prune417.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

56×	`add-sqr-sqrt`
49×	`times-frac`
42×	`*-un-lft-identity` `add-cube-cbrt`
20×	`add-exp-log`
19×	`add-cbrt-cube`
18×	`associate-*r/`
17×	`associate-r`
16×	`associate-l`
14×	`cbrt-div`
13×	`pow1` `swap-sqr`
11×	`frac-times`
7×	`associate-*l/`
5×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
4×	`add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`cbrt-prod` `pow-prod-down` `*-commutative`
1×	`pow2` `sinh-def` `clear-num` `frac-2neg` `pow-plus` `pow1/3` `cube-unmult` `pow-sqr` `pow-prod-up` `rem-cbrt-cube` `associate-/l/`

Counts

4 → 138

Calls

4 calls:

5.0ms	(/ (sinh y) y)
16.0ms	(* (sin x) (cbrt (* (/ (sinh y) y) (* (/ (sinh y) y) (/ (sinh y) y)))))
27.0ms	(* (/ (sinh y) y) (/ (sinh y) y))
38.0ms	(cbrt (* (/ (sinh y) y) (* (/ (sinh y) y) (/ (sinh y) y))))

series589.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(/ (sinh y) y)
169.0ms	(* (sin x) (cbrt (* (/ (sinh y) y) (* (/ (sinh y) y) (/ (sinh y) y)))))
137.0ms	(* (/ (sinh y) y) (/ (sinh y) y))
163.0ms	(cbrt (* (/ (sinh y) y) (* (/ (sinh y) y) (/ (sinh y) y))))

simplify2.6s

Counts

150 → 150

Iterations

Iter	Nodes
done	5000
2	4294
1	708
0	239

prune978.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize137.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (* (/ (sinh y) y) (* (/ (sinh y) y) (/ (sinh y) y))))
0.0b	(cbrt (* (/ (sinh y) y) (* (/ (sinh y) y) (/ (sinh y) y))))
0.0b	(cbrt (* (/ (sinh y) y) (* (/ (sinh y) y) (/ (sinh y) y))))
0.0b	(* (cbrt (cbrt (* (/ (sinh y) y) (* (/ (sinh y) y) (/ (sinh y) y))))) (cbrt (cbrt (* (/ (sinh y) y) (* (/ (sinh y) y) (/ (sinh y) y))))))

rewrite199.0ms

Algorithm

rewrite-expression-head

Rules

245×	`cbrt-div`
144×	`frac-times`
102×	`associate-*r/`
64×	`associate-*l/`
27×	`cbrt-prod`
20×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
7×	`swap-sqr` `associate-r` `associate-l`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`cube-unmult` `rem-cbrt-cube`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 157

Calls

4 calls:

29.0ms	(cbrt (* (/ (sinh y) y) (* (/ (sinh y) y) (/ (sinh y) y))))
50.0ms	(cbrt (* (/ (sinh y) y) (* (/ (sinh y) y) (/ (sinh y) y))))
50.0ms	(cbrt (* (/ (sinh y) y) (* (/ (sinh y) y) (/ (sinh y) y))))
61.0ms	(* (cbrt (cbrt (* (/ (sinh y) y) (* (/ (sinh y) y) (/ (sinh y) y))))) (cbrt (cbrt (* (/ (sinh y) y) (* (/ (sinh y) y) (/ (sinh y) y))))))

series1.0s

Counts

4 → 12

Calls

4 calls:

170.0ms	(cbrt (* (/ (sinh y) y) (* (/ (sinh y) y) (/ (sinh y) y))))
168.0ms	(cbrt (* (/ (sinh y) y) (* (/ (sinh y) y) (/ (sinh y) y))))
169.0ms	(cbrt (* (/ (sinh y) y) (* (/ (sinh y) y) (/ (sinh y) y))))
519.0ms	(* (cbrt (cbrt (* (/ (sinh y) y) (* (/ (sinh y) y) (/ (sinh y) y))))) (cbrt (cbrt (* (/ (sinh y) y) (* (/ (sinh y) y) (/ (sinh y) y))))))

simplify1.7s

Counts

169 → 169

Iterations

Iter	Nodes
done	5000
2	1413
1	450
0	219

prune1.3s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes219.0ms

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	7
1	7
0	6

end0.0ms

sample5.3s

Algorithm

intervals

Results

2.1s	2916×	body	1280	valid
1.4s	2588×	body	640	valid
778.0ms	8548×	body	80	valid
318.0ms	1243×	body	320	valid
148.0ms	608×	body	160	valid