Details

sample205.0ms

Algorithm

intervals

Results

66.0ms	86×	body	1280	valid
62.0ms	73×	body	640	valid
35.0ms	288×	body	80	valid
16.0ms	44×	body	320	valid
6.0ms	23×	body	160	valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5004
7	1809
6	607
5	236
4	126
3	65
2	30
1	15
0	6

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

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:

7.0ms	(/ (sinh y) y)
12.0ms	(* (cos x) (/ (sinh y) y))
2.0ms	(sinh y)

series336.0ms

Counts

3 → 9

Calls

3 calls:

106.0ms	(/ (sinh y) y)
128.0ms	(* (cos x) (/ (sinh y) y))
101.0ms	(sinh y)

simplify2.2s

Counts

80 → 80

Iterations

Iter	Nodes
done	5001
3	3484
2	1067
1	338
0	140

prune366.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

72×	`add-sqr-sqrt`
66×	`sqrt-prod`
51×	`times-frac`
44×	`*-un-lft-identity` `add-cube-cbrt`
19×	`pow1`
18×	`swap-sqr`
16×	`associate-r` `associate-l`
9×	`unswap-sqr`
8×	`sqrt-pow1` `add-cbrt-cube` `pow1/2` `add-exp-log`
5×	`pow-prod-up` `div-inv`
4×	`sqrt-div` `insert-posit16` `add-log-exp`
3×	`sinh-def` `associate-/r` `pow-prod-down` `pow-sqr` `associate-/l`
1×	`pow2` `frac-times` `cbrt-undiv` `clear-num` `rem-square-sqrt` `frac-2neg` `pow-plus` `sqrt-unprod` `div-exp` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod` `associate-/l/`

Counts

4 → 135

Calls

4 calls:

11.0ms	(/ (sinh y) y)
2.0ms	(sinh y)
2.0ms	(sinh y)
26.0ms	(* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y)))

series429.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(/ (sinh y) y)
95.0ms	(sinh y)
89.0ms	(sinh y)
126.0ms	(* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y)))

simplify2.0s

Counts

147 → 147

Iterations

Iter	Nodes
done	5000
2	1730
1	559
0	249

prune672.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sinh y) y)
0.0b	(sinh y)
0.0b	(sinh y)
0.0b	(sinh y)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

13.0ms	(/ (sinh y) y)
3.0ms	(sinh y)
3.0ms	(sinh y)
3.0ms	(sinh y)

series377.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(/ (sinh y) y)
84.0ms	(sinh y)
80.0ms	(sinh y)
70.0ms	(sinh y)

simplify1.6s

Counts

68 → 68

Iterations

Iter	Nodes
done	5000
3	1360
2	436
1	175
0	89

prune409.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.2b	(* (* (* (cos x) (/ (sinh y) y)) (* (cos x) (/ (sinh y) y))) (* (cos x) (/ (sinh y) y)))
0.2b	(* (* (cos x) (/ (sinh y) y)) (* (cos x) (/ (sinh y) y)))
0.4b	(cbrt (* (* (* (cos x) (/ (sinh y) y)) (* (cos x) (/ (sinh y) y))) (* (cos x) (/ (sinh y) y))))

rewrite491.0ms

Algorithm

rewrite-expression-head

Rules

211×	`add-cbrt-cube` `add-exp-log`
198×	`pow1`
134×	`prod-exp` `cbrt-unprod`
86×	`pow-prod-down`
38×	`pow-prod-up`
35×	`associate-*r/`
34×	`cbrt-undiv` `div-exp`
19×	`pow-plus`
16×	`pow-sqr`
11×	`frac-times` `associate-*l/`
7×	`cbrt-div`
4×	`pow2` `add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `insert-posit16` `add-log-exp`
2×	`associate-r` `associate-l` `pow3` `*-commutative`
1×	`cbrt-prod` `sinh-def` `pow1/3` `swap-sqr` `rem-cbrt-cube`

Counts

4 → 197

Calls

4 calls:

1.0ms	(sinh y)
226.0ms	(* (* (* (cos x) (/ (sinh y) y)) (* (cos x) (/ (sinh y) y))) (* (cos x) (/ (sinh y) y)))
67.0ms	(* (* (cos x) (/ (sinh y) y)) (* (cos x) (/ (sinh y) y)))
191.0ms	(cbrt (* (* (* (cos x) (/ (sinh y) y)) (* (cos x) (/ (sinh y) y))) (* (cos x) (/ (sinh y) y))))

series965.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(sinh y)
280.0ms	(* (* (* (cos x) (/ (sinh y) y)) (* (cos x) (/ (sinh y) y))) (* (cos x) (/ (sinh y) y)))
472.0ms	(* (* (cos x) (/ (sinh y) y)) (* (cos x) (/ (sinh y) y)))
147.0ms	(cbrt (* (* (* (cos x) (/ (sinh y) y)) (* (cos x) (/ (sinh y) y))) (* (cos x) (/ (sinh y) y))))

simplify2.2s

Counts

209 → 209

Iterations

Iter	Nodes
done	5001
2	2472
1	598
0	235

prune409.0ms

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

simplify3.0ms

Iterations

Iter	Nodes
done	13
1	13
0	10

end0.0ms

sample6.0s

Algorithm

intervals

Results

2.6s	2920×	body	1280	valid
1.3s	2519×	body	640	valid
1.0s	8459×	body	80	valid
481.0ms	1194×	body	320	valid
211.0ms	652×	body	160	valid