Details

sample137.0ms

Algorithm

intervals

Results

58.0ms	110×	body	1280	valid
23.0ms	293×	body	80	valid
21.0ms	62×	body	640	valid
10.0ms	36×	body	320	valid
7.0ms	18×	body	160	valid

simplify2.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	1888
6	631
5	245
4	128
3	65
2	30
1	15
0	6

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

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` `insert-posit16` `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 → 77

Calls

3 calls:

12.0ms	(* (cos x) (/ (sinh y) y))
1.0ms	(sinh y)
6.0ms	(/ (sinh y) y)

series372.0ms

Counts

3 → 9

Calls

3 calls:

132.0ms	(* (cos x) (/ (sinh y) y))
83.0ms	(sinh y)
157.0ms	(/ (sinh y) y)

simplify2.2s

Counts

86 → 86

Iterations

Iter	Nodes
done	5011
3	3850
2	1102
1	353
0	146

prune384.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cos x) (/ 1 (/ y (sinh y))))
0.0b	(/ 1 (/ y (sinh y)))
0.0b	(sinh y)
0.0b	(/ y (sinh y))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

162×	`times-frac`
106×	`add-sqr-sqrt`
94×	`*-un-lft-identity`
92×	`add-cube-cbrt`
47×	`associate-r`
36×	`add-exp-log`
20×	`add-cbrt-cube`
17×	`associate-/r*`
15×	`div-exp`
10×	`associate-/r/` `div-inv`
9×	`sinh-def`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`associate-/l*`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `cbrt-unprod`
2×	`clear-num` `frac-2neg`
1×	`pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

4 → 204

Calls

4 calls:

37.0ms	(* (cos x) (/ 1 (/ y (sinh y))))
12.0ms	(/ 1 (/ y (sinh y)))
2.0ms	(sinh y)
8.0ms	(/ y (sinh y))

series458.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(* (cos x) (/ 1 (/ y (sinh y))))
150.0ms	(/ 1 (/ y (sinh y)))
65.0ms	(sinh y)
101.0ms	(/ y (sinh y))

simplify2.3s

Counts

216 → 216

Iterations

Iter	Nodes
done	5000
2	2099
1	808
0	300

prune790.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
27×	`times-frac`
10×	`add-cbrt-cube` `add-exp-log`
9×	`associate-/r` `associate-/l`
7×	`cbrt-div`
5×	`frac-times` `associate-*l/`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `sinh-def` `clear-num` `frac-2neg` `div-exp` `associate-*r/` `associate-/r/` `div-inv`
1×	`cbrt-prod` `pow1/3` `pow3` `rem-cbrt-cube`

Counts

4 → 113

Calls

4 calls:

8.0ms	(/ y (sinh y))
12.0ms	(/ y (sinh y))
8.0ms	(/ y (sinh y))
46.0ms	(cbrt (* (* (/ y (sinh y)) (/ y (sinh y))) (/ y (sinh y))))

series552.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(/ y (sinh y))
130.0ms	(/ y (sinh y))
155.0ms	(/ y (sinh y))
144.0ms	(cbrt (* (* (/ y (sinh y)) (/ y (sinh y))) (/ y (sinh y))))

simplify1.7s

Counts

125 → 125

Iterations

Iter	Nodes
done	5002
3	1583
2	556
1	220
0	110

prune528.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (cos x) (sqrt (/ y (sinh y))))
0.0b	(/ y (sinh y))
0.0b	(/ y (sinh y))
0.0b	(* (/ (cos x) (sqrt (/ y (sinh y)))) (/ (cbrt 1) (sqrt (/ y (sinh y)))))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

427×	`times-frac`
351×	`add-sqr-sqrt`
226×	`sqrt-prod`
207×	`*-un-lft-identity`
195×	`add-cube-cbrt`
107×	`associate-r`
75×	`cbrt-prod`
56×	`associate-l`
40×	`unswap-sqr`
23×	`associate-/r*`
22×	`add-exp-log`
20×	`add-cbrt-cube`
18×	`associate-/r/` `div-inv`
15×	`sinh-def`
9×	`associate-/l*`
7×	`cbrt-undiv` `div-exp`
6×	`pow1`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `sqrt-div`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 375

Calls

4 calls:

11.0ms	(/ (cos x) (sqrt (/ y (sinh y))))
5.0ms	(/ y (sinh y))
7.0ms	(/ y (sinh y))
50.0ms	(* (/ (cos x) (sqrt (/ y (sinh y)))) (/ (cbrt 1) (sqrt (/ y (sinh y)))))

series635.0ms

Counts

4 → 12

Calls

4 calls:

220.0ms	(/ (cos x) (sqrt (/ y (sinh y))))
150.0ms	(/ y (sinh y))
128.0ms	(/ y (sinh y))
137.0ms	(* (/ (cos x) (sqrt (/ y (sinh y)))) (/ (cbrt 1) (sqrt (/ y (sinh y)))))

simplify2.3s

Counts

387 → 387

Iterations

Iter	Nodes
done	5004
1	2006
0	645

prune2.0s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes160.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample5.0s

Algorithm

intervals

Results

2.0s	3056×	body	1280	valid
1.4s	2427×	body	640	valid
767.0ms	8623×	body	80	valid
418.0ms	1255×	body	320	valid
130.0ms	653×	body	160	valid