Details

sample165.0ms

Algorithm

intervals

Results

66.0ms	95×	body	1280	valid
31.0ms	83×	body	640	valid
25.0ms	278×	body	80	valid
10.0ms	39×	body	320	valid
4.0ms	22×	body	160	valid

simplify1.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	763
5	187
4	100
3	56
2	28
1	15
0	6

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-cbrt-cube` `add-exp-log`
9×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `add-cube-cbrt`
5×	`pow1`
3×	`expm1-log1p-u` `cosh-def` `associate-/r` `times-frac` `associate-r` `associate-l*` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-*r/` `cbrt-unprod`
1×	`clear-num` `frac-2neg` `pow-prod-down` `-commutative` `div-inv` `associate-/l` `unswap-sqr` `associate-/l/`

Counts

3 → 55

Calls

3 calls:

6.0ms	(cosh x)
16.0ms	(* (sin y) (cosh x))
10.0ms	(/ (* (sin y) (cosh x)) y)

series242.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(cosh x)
93.0ms	(* (sin y) (cosh x))
98.0ms	(/ (* (sin y) (cosh x)) y)

simplify832.0ms

Counts

64 → 64

Iterations

Iter	Nodes
done	5002
2	1576
1	287
0	119

prune400.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 318

Calls

4 calls:

1.0ms	(cosh x)
19.0ms	(/ (/ y (sin y)) (cosh x))
8.0ms	(/ y (sin y))
29.0ms	(/ 1 (/ (/ y (sin y)) (cosh x)))

series426.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(cosh x)
167.0ms	(/ (/ y (sin y)) (cosh x))
46.0ms	(/ y (sin y))
136.0ms	(/ 1 (/ (/ y (sin y)) (cosh x)))

simplify830.0ms

Counts

330 → 330

Iterations

Iter	Nodes
done	5000
1	1362
0	486

prune1.4s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(cosh x)
0.0b	(* (sin y) (cosh x))
0.3b	(* (/ 1 y) (* (sin y) (cosh x)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
17×	`add-cbrt-cube`
16×	`associate-l`
14×	`add-sqr-sqrt`
13×	`prod-exp`
12×	`*-un-lft-identity` `add-cube-cbrt`
10×	`pow1`
9×	`times-frac`
7×	`cbrt-unprod`
4×	`cosh-def` `div-exp` `associate-r` `pow-prod-down` `associate-*r/`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `rec-exp` `1-exp` `*-commutative`
1×	`frac-times` `associate-*l/` `div-inv` `unswap-sqr`

Counts

3 → 72

Calls

3 calls:

1.0ms	(cosh x)
8.0ms	(* (sin y) (cosh x))
29.0ms	(* (/ 1 y) (* (sin y) (cosh x)))

series267.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(cosh x)
100.0ms	(* (sin y) (cosh x))
104.0ms	(* (/ 1 y) (* (sin y) (cosh x)))

simplify1.4s

Counts

81 → 81

Iterations

Iter	Nodes
done	5002
2	2230
1	408
0	150

prune369.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(cosh x)
0.1b	(/ 1 (sin y))
0.2b	(/ 1 (/ (* y (/ 1 (sin y))) (cosh x)))
0.3b	(* y (/ 1 (sin y)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

71×	`add-exp-log`
56×	`times-frac`
44×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
37×	`div-exp` `add-cube-cbrt`
25×	`add-cbrt-cube`
16×	`prod-exp`
13×	`associate-r`
11×	`rec-exp` `associate-/r*` `1-exp`
10×	`cbrt-undiv`
8×	`pow1`
7×	`div-inv`
6×	`associate-/l*`
5×	`cosh-def` `associate-/r/`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `unswap-sqr`
2×	`clear-num` `frac-2neg` `pow-flip` `inv-pow`
1×	`pow-prod-down` `associate-r/` `un-div-inv` `-commutative`

Counts

4 → 153

Calls

4 calls:

1.0ms	(cosh x)
5.0ms	(/ 1 (sin y))
23.0ms	(/ 1 (/ (* y (/ 1 (sin y))) (cosh x)))
13.0ms	(* y (/ 1 (sin y)))

series227.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(cosh x)
24.0ms	(/ 1 (sin y))
93.0ms	(/ 1 (/ (* y (/ 1 (sin y))) (cosh x)))
32.0ms	(* y (/ 1 (sin y)))

simplify1.4s

Counts

165 → 165

Iterations

Iter	Nodes
done	5001
2	3246
1	648
0	248

prune538.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes369.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample5.9s

Algorithm

intervals

Results

1.9s	3026×	body	1280	valid
1.8s	8541×	body	80	valid
953.0ms	2396×	body	640	valid
404.0ms	1271×	body	320	valid
183.0ms	654×	body	160	valid