Details

sample798.0ms

Algorithm

intervals

Results

553.0ms	309×	body	80	valid
76.0ms	112×	body	1280	valid
43.0ms	98×	body	640	valid
27.0ms	24×	body	160	valid
16.0ms	46×	body	320	valid

simplify15.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5020
9	4188
8	1976
7	938
6	316
5	142
4	89
3	50
2	28
1	15
0	6

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize26.0ms

Local error

Found 3 expressions with local error:

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

rewrite58.0ms

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×	`expm1-log1p-u` `cosh-def` `associate-l` `associate-/r` `log1p-expm1-u` `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 → 75

Calls

3 calls:

3.0ms	(cosh x)
33.0ms	(* (cosh x) (/ (sin y) y))
18.0ms	(/ (sin y) y)

series344.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(cosh x)
170.0ms	(* (cosh x) (/ (sin y) y))
88.0ms	(/ (sin y) y)

simplify5.1s

Counts

84 → 84

Iterations

Iter	Nodes
done	5001
3	3411
2	1032
1	311
0	136

prune1.3s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

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))

rewrite99.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 73

Calls

3 calls:

3.0ms	(cosh x)
23.0ms	(* (cosh x) (sin y))
69.0ms	(* (* (cosh x) (sin y)) (/ 1 y))

series403.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(cosh x)
138.0ms	(* (cosh x) (sin y))
181.0ms	(* (* (cosh x) (sin y)) (/ 1 y))

simplify7.8s

Counts

82 → 82

Iterations

Iter	Nodes
done	5024
3	3993
2	1239
1	405
0	156

prune763.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

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

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
53×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`cosh-def` `frac-2neg` `clear-num`
1×	`associate-/r/` `associate-/l/`

Counts

3 → 112

Calls

3 calls:

3.0ms	(cosh x)
11.0ms	(/ y (sin y))
25.0ms	(/ (cosh x) (/ y (sin y)))

series294.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(cosh x)
54.0ms	(/ y (sin y))
147.0ms	(/ (cosh x) (/ y (sin y)))

simplify2.9s

Counts

121 → 121

Iterations

Iter	Nodes
done	5000
2	1412
1	505
0	205

prune1.1s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

439×	`times-frac`
216×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
32×	`add-exp-log`
31×	`div-inv`
20×	`add-cbrt-cube`
19×	`div-exp` `associate-/r` `associate-/l`
10×	`cbrt-undiv`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
2×	`cosh-def` `associate-/l/`
1×	`pow-flip` `associate-/r/` `inv-pow`

Counts

4 → 294

Calls

4 calls:

3.0ms	(cosh x)
14.0ms	(/ (cosh x) y)
14.0ms	(/ 1 (sin y))
41.0ms	(/ (/ (cosh x) y) (/ 1 (sin y)))

series525.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(cosh x)
207.0ms	(/ (cosh x) y)
54.0ms	(/ 1 (sin y))
182.0ms	(/ (/ (cosh x) y) (/ 1 (sin y)))

simplify3.5s

Counts

306 → 306

Iterations

Iter	Nodes
done	5000
2	3364
1	1448
0	484

prune1.6s

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0b

regimes606.0ms

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

sample7.4s

Algorithm

intervals

Results

3.3s	2920×	body	1280	valid
1.5s	8548×	body	80	valid
1.5s	2521×	body	640	valid
433.0ms	1221×	body	320	valid
124.0ms	603×	body	160	valid