Details

sample105.0ms

Algorithm

intervals

Results

38.0ms	103×	body	1280	valid
25.0ms	78×	body	640	valid
15.0ms	245×	body	80	valid
6.0ms	34×	body	320	valid
2.0ms	19×	body	160	valid

simplify2.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	4128
6	824
5	269
4	137
3	67
2	30
1	15
0	6

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite35.0ms

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` `associate-/r` `associate-l` `log1p-expm1-u` `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 → 74

Calls

3 calls:

1.0ms	(sinh y)
11.0ms	(/ (sinh y) y)
20.0ms	(* (sin x) (/ (sinh y) y))

series319.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(sinh y)
115.0ms	(/ (sinh y) y)
142.0ms	(* (sin x) (/ (sinh y) y))

simplify1.2s

Counts

83 → 83

Iterations

Iter	Nodes
done	5000
2	1812
1	362
0	146

prune342.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize30.0ms

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)))

rewrite117.0ms

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`
17×	`associate-r`
16×	`associate-l`
14×	`cbrt-div` `associate-*r/`
13×	`pow1` `swap-sqr`
11×	`frac-times` `associate-*l/`
5×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `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` `pow3` `pow-sqr` `pow-prod-up` `rem-cbrt-cube` `associate-/l/`

Counts

4 → 146

Calls

4 calls:

9.0ms	(/ (sinh y) y)
25.0ms	(* (sin x) (cbrt (* (* (/ (sinh y) y) (/ (sinh y) y)) (/ (sinh y) y))))
31.0ms	(* (/ (sinh y) y) (/ (sinh y) y))
44.0ms	(cbrt (* (* (/ (sinh y) y) (/ (sinh y) y)) (/ (sinh y) y)))

series575.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(/ (sinh y) y)
170.0ms	(* (sin x) (cbrt (* (* (/ (sinh y) y) (/ (sinh y) y)) (/ (sinh y) y))))
146.0ms	(* (/ (sinh y) y) (/ (sinh y) y))
132.0ms	(cbrt (* (* (/ (sinh y) y) (/ (sinh y) y)) (/ (sinh y) y)))

simplify2.6s

Counts

158 → 158

Iterations

Iter	Nodes
done	5001
2	4056
1	714
0	244

prune960.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize79.0ms

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)))))

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

245×	`cbrt-div`
144×	`frac-times`
102×	`associate-*l/`
64×	`associate-*r/`
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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow3` `rem-cbrt-cube`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 165

Calls

4 calls:

33.0ms	(cbrt (* (* (/ (sinh y) y) (/ (sinh y) y)) (/ (sinh y) y)))
57.0ms	(cbrt (* (* (/ (sinh y) y) (/ (sinh y) y)) (/ (sinh y) y)))
35.0ms	(cbrt (* (* (/ (sinh y) y) (/ (sinh y) y)) (/ (sinh y) y)))
30.0ms	(* (cbrt (cbrt (* (* (/ (sinh y) y) (/ (sinh y) y)) (/ (sinh y) y)))) (cbrt (cbrt (* (* (/ (sinh y) y) (/ (sinh y) y)) (/ (sinh y) y)))))

series1.2s

Counts

4 → 12

Calls

4 calls:

154.0ms	(cbrt (* (* (/ (sinh y) y) (/ (sinh y) y)) (/ (sinh y) y)))
166.0ms	(cbrt (* (* (/ (sinh y) y) (/ (sinh y) y)) (/ (sinh y) y)))
131.0ms	(cbrt (* (* (/ (sinh y) y) (/ (sinh y) y)) (/ (sinh y) y)))
722.0ms	(* (cbrt (cbrt (* (* (/ (sinh y) y) (/ (sinh y) y)) (/ (sinh y) y)))) (cbrt (cbrt (* (* (/ (sinh y) y) (/ (sinh y) y)) (/ (sinh y) y)))))

simplify1.6s

Counts

177 → 177

Iterations

Iter	Nodes
done	5000
2	1345
1	454
0	223

prune1.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes251.0ms

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

sample5.4s

Algorithm

intervals

Results

2.2s	2916×	body	1280	valid
1.2s	2588×	body	640	valid
802.0ms	1243×	body	320	valid
664.0ms	8548×	body	80	valid
100.0ms	608×	body	160	valid