Details

sample261.0ms

Algorithm

intervals

Results

79.0ms	112×	body	1280	valid
59.0ms	46×	body	320	valid
45.0ms	98×	body	640	valid
38.0ms	309×	body	80	valid
5.0ms	24×	body	160	valid

simplify18.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
9	4354
8	2098
7	913
6	308
5	134
4	85
3	50
2	28
1	15
0	6

prune215.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize128.0ms

Local error

Found 3 expressions with local error:

0.0b	(cosh x)
0.0b	(* (cosh x) (/ (sin y) y))
0.2b	(/ (sin y) y)

rewrite201.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
13×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
3×	`cosh-def` `associate-l` `associate-/r` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

3 → 69

Calls

3 calls:

17.0ms	(cosh x)
111.0ms	(* (cosh x) (/ (sin y) y))
57.0ms	(/ (sin y) y)

series610.0ms

Counts

3 → 9

Calls

3 calls:

166.0ms	(cosh x)
309.0ms	(* (cosh x) (/ (sin y) y))
135.0ms	(/ (sin y) y)

simplify4.8s

Counts

78 → 78

Iterations

Iter	Nodes
done	5011
3	3030
2	972
1	300
0	130

prune645.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(cosh x)
0.0b	(* (cosh x) (sin y))
0.2b	(* (* (cosh x) (sin y)) (/ 1 y))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
17×	`add-cbrt-cube`
16×	`associate-r`
14×	`add-sqr-sqrt`
13×	`prod-exp`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow1`
9×	`times-frac`
7×	`cbrt-unprod`
4×	`cosh-def` `div-exp` `associate-l` `pow-prod-down` `associate-*l/`
3×	`add-log-exp`
2×	`cbrt-undiv` `rec-exp` `1-exp` `*-commutative`
1×	`frac-times` `associate-*r/` `un-div-inv` `div-inv` `unswap-sqr`

Counts

3 → 67

Calls

3 calls:

3.0ms	(cosh x)
36.0ms	(* (cosh x) (sin y))
82.0ms	(* (* (cosh x) (sin y)) (/ 1 y))

series401.0ms

Counts

3 → 9

Calls

3 calls:

96.0ms	(cosh x)
153.0ms	(* (cosh x) (sin y))
152.0ms	(* (* (cosh x) (sin y)) (/ 1 y))

simplify5.1s

Counts

76 → 76

Iterations

Iter	Nodes
done	5031
3	3829
2	1185
1	395
0	150

prune578.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(cosh x)
0.0b	(* (cosh x) (/ 1 (/ y (sin y))))
0.2b	(/ y (sin y))
0.2b	(/ 1 (/ y (sin y)))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
104×	`add-sqr-sqrt`
92×	`*-un-lft-identity`
90×	`add-cube-cbrt`
44×	`associate-r`
36×	`add-exp-log`
20×	`add-cbrt-cube`
16×	`associate-/r*`
15×	`div-exp`
10×	`div-inv`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`associate-/l*`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp` `add-log-exp`
3×	`cosh-def` `associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/r/`
1×	`frac-times` `pow-flip` `associate-r/` `pow-prod-down` `associate-l/` `un-div-inv` `*-commutative` `inv-pow`

Counts

4 → 186

Calls

4 calls:

8.0ms	(cosh x)
71.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
12.0ms	(/ y (sin y))
24.0ms	(/ 1 (/ y (sin y)))

series350.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(cosh x)
156.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
52.0ms	(/ y (sin y))
51.0ms	(/ 1 (/ y (sin y)))

simplify3.5s

Counts

198 → 198

Iterations

Iter	Nodes
done	5000
2	2056
1	702
0	269

prune1.4s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(cosh x)
0.0b	(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
0.1b	(/ 1 (sin y))
0.2b	(/ (/ 1 y) (/ 1 (sin y)))

rewrite293.0ms

Algorithm

rewrite-expression-head

Rules

854×	`times-frac`
427×	`add-sqr-sqrt`
398×	`*-un-lft-identity`
392×	`add-cube-cbrt`
174×	`associate-r`
106×	`add-exp-log`
66×	`div-exp`
57×	`div-inv`
36×	`add-cbrt-cube`
17×	`cbrt-undiv` `rec-exp` `1-exp` `prod-exp`
16×	`associate-/r` `associate-/l`
10×	`unswap-sqr`
7×	`pow1`
5×	`cbrt-unprod`
4×	`add-log-exp`
3×	`cosh-def` `associate-l`
2×	`frac-2neg` `clear-num` `associate-/r/`
1×	`frac-times` `pow-flip` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `associate-/l/` `inv-pow`

Counts

4 → 487

Calls

4 calls:

3.0ms	(cosh x)
158.0ms	(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
21.0ms	(/ 1 (sin y))
41.0ms	(/ (/ 1 y) (/ 1 (sin y)))

series335.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(cosh x)
155.0ms	(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
29.0ms	(/ 1 (sin y))
72.0ms	(/ (/ 1 y) (/ 1 (sin y)))

simplify4.9s

Counts

499 → 499

Iterations

Iter	Nodes
done	5008
2	4051
1	2015
0	634

prune3.2s

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0b

regimes684.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample20.3s

Algorithm

intervals

Results

8.4s	2920×	body	1280	valid
4.1s	2521×	body	640	valid
3.7s	8548×	body	80	valid
2.5s	1221×	body	320	valid
767.0ms	603×	body	160	valid