Details

sample113.0ms

Algorithm

intervals

Results

40.0ms	86×	body	1280	valid
25.0ms	86×	body	640	valid
19.0ms	284×	body	80	valid
11.0ms	52×	body	320	valid
2.0ms	16×	body	160	valid

simplify2.0s

Counts

1 → 1

Iterations

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite49.0ms

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:

12.0ms	(/ (sinh y) y)
2.0ms	(sinh y)
29.0ms	(* (sin x) (/ (sinh y) y))

series351.0ms

Counts

3 → 9

Calls

3 calls:

122.0ms	(/ (sinh y) y)
81.0ms	(sinh y)
147.0ms	(* (sin x) (/ (sinh y) y))

simplify2.1s

Counts

80 → 80

Iterations

Iter	Nodes
done	5004
3	3827
2	1042
1	346
0	143

prune302.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

32×	`associate-r`
28×	`add-sqr-sqrt` `sqrt-prod`
21×	`*-un-lft-identity` `add-cube-cbrt`
19×	`times-frac`
11×	`pow1` `add-cbrt-cube` `add-exp-log`
5×	`sqrt-div`
4×	`associate-l` `pow-prod-down` `prod-exp` `associate-*r/` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`unswap-sqr`
2×	`sinh-def` `*-commutative` `div-inv`
1×	`frac-times` `associate-*l/`

Counts

4 → 88

Calls

4 calls:

1.0ms	(sinh y)
1.0ms	(sinh y)
71.0ms	(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))
26.0ms	(* (sin x) (sqrt (/ (sinh y) y)))

series550.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(sinh y)
74.0ms	(sinh y)
144.0ms	(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))
251.0ms	(* (sin x) (sqrt (/ (sinh y) y)))

simplify2.8s

Counts

100 → 100

Iterations

Iter	Nodes
done	5028
2	3854
1	900
0	311

prune595.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

140×	`cbrt-prod`
109×	`sqrt-prod`
108×	`add-sqr-sqrt`
71×	`times-frac`
64×	`*-un-lft-identity` `add-cube-cbrt`
21×	`swap-sqr`
19×	`associate-r` `associate-l`
16×	`unswap-sqr`
11×	`pow1`
9×	`pow1/3`
7×	`cbrt-div` `sqrt-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 → 175

Calls

4 calls:

6.0ms	(cbrt (sqrt (/ (sinh y) y)))
6.0ms	(cbrt (sqrt (/ (sinh y) y)))
6.0ms	(cbrt (sqrt (/ (sinh y) y)))
69.0ms	(* (cbrt (sqrt (/ (sinh y) y))) (cbrt (sqrt (/ (sinh y) y))))

series1.3s

Counts

4 → 12

Calls

4 calls:

315.0ms	(cbrt (sqrt (/ (sinh y) y)))
276.0ms	(cbrt (sqrt (/ (sinh y) y)))
298.0ms	(cbrt (sqrt (/ (sinh y) y)))
460.0ms	(* (cbrt (sqrt (/ (sinh y) y))) (cbrt (sqrt (/ (sinh y) y))))

simplify7.7s

Counts

187 → 187

Iterations

Iter	Nodes
done	5000
1	1195
0	411

prune1.4s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (sinh y) y) (/ (sinh y) y))
0.2b	(* (sin x) (sin x))
0.2b	(* (* (sin x) (sin x)) (* (sin x) (* (* (/ (sinh y) y) (/ (sinh y) y)) (/ (sinh y) y))))
21.3b	(cbrt (* (* (sin x) (sin x)) (* (sin x) (* (* (/ (sinh y) y) (/ (sinh y) y)) (/ (sinh y) y)))))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

162×	`add-cbrt-cube` `add-exp-log`
99×	`prod-exp` `cbrt-unprod`
55×	`associate-*r/`
50×	`add-sqr-sqrt` `pow1`
40×	`times-frac`
36×	`*-un-lft-identity` `add-cube-cbrt`
35×	`frac-times`
30×	`cbrt-undiv` `div-exp`
26×	`pow-prod-down`
23×	`associate-*l/`
17×	`associate-r` `associate-l` `sin-mult`
16×	`swap-sqr`
15×	`cbrt-div`
5×	`unswap-sqr`
4×	`insert-posit16` `div-inv` `add-log-exp`
3×	`*-commutative`
2×	`pow2` `pow-plus` `pow-sqr` `pow-prod-up`
1×	`cbrt-prod` `pow1/3` `sqr-sin`

Counts

4 → 203

Calls

4 calls:

27.0ms	(* (/ (sinh y) y) (/ (sinh y) y))
19.0ms	(* (sin x) (sin x))
565.0ms	(* (* (sin x) (sin x)) (* (sin x) (* (* (/ (sinh y) y) (/ (sinh y) y)) (/ (sinh y) y))))
469.0ms	(cbrt (* (* (sin x) (sin x)) (* (sin x) (* (* (/ (sinh y) y) (/ (sinh y) y)) (/ (sinh y) y)))))

series672.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(* (/ (sinh y) y) (/ (sinh y) y))
28.0ms	(* (sin x) (sin x))
326.0ms	(* (* (sin x) (sin x)) (* (sin x) (* (* (/ (sinh y) y) (/ (sinh y) y)) (/ (sinh y) y))))
191.0ms	(cbrt (* (* (sin x) (sin x)) (* (sin x) (* (* (/ (sinh y) y) (/ (sinh y) y)) (/ (sinh y) y)))))

simplify1.7s

Counts

215 → 215

Iterations

Iter	Nodes
done	5000
1	1202
0	378

prune966.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes199.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample5.2s

Algorithm

intervals

Results

1.7s	2953×	body	1280	valid
1.5s	2372×	body	640	valid
1.1s	8466×	body	80	valid
358.0ms	1193×	body	320	valid
187.0ms	661×	body	160	valid