Details

sample123.0ms

Algorithm

intervals

Results

48.0ms	83×	body	1280	valid
25.0ms	75×	body	640	valid
20.0ms	246×	body	80	valid
8.0ms	39×	body	320	valid
3.0ms	20×	body	160	valid

simplify807.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	745
5	179
4	96
3	56
2	28
1	15
0	6

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

8.0ms	(* (cosh x) (sin y))
13.0ms	(/ (* (cosh x) (sin y)) y)

series200.0ms

Counts

2 → 6

Calls

2 calls:

92.0ms	(* (cosh x) (sin y))
108.0ms	(/ (* (cosh x) (sin y)) y)

simplify585.0ms

Counts

47 → 47

Iterations

Iter	Nodes
done	5000
2	1133
1	236
0	103

prune352.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 59

Calls

2 calls:

15.0ms	(* (cosh x) (sin y))
33.0ms	(* (* (cosh x) (sin y)) (/ 1 y))

series198.0ms

Counts

2 → 6

Calls

2 calls:

102.0ms	(* (cosh x) (sin y))
96.0ms	(* (* (cosh x) (sin y)) (/ 1 y))

simplify1.8s

Counts

65 → 65

Iterations

Iter	Nodes
done	5001
2	2348
1	376
0	139

prune286.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ y (sin y))
0.3b	(/ (cosh x) (/ y (sin y)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 98

Calls

2 calls:

8.0ms	(/ y (sin y))
17.0ms	(/ (cosh x) (/ y (sin y)))

series142.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(/ y (sin y))
94.0ms	(/ (cosh x) (/ y (sin y)))

simplify883.0ms

Counts

104 → 104

Iterations

Iter	Nodes
done	5000
2	2354
1	466
0	189

prune582.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

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

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 278

Calls

3 calls:

5.0ms	(/ (cosh x) y)
5.0ms	(/ 1 (sin y))
25.0ms	(/ (/ (cosh x) y) (/ 1 (sin y)))

series224.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(/ (cosh x) y)
16.0ms	(/ 1 (sin y))
113.0ms	(/ (/ (cosh x) y) (/ 1 (sin y)))

simplify682.0ms

Counts

287 → 287

Iterations

Iter	Nodes
done	5001
1	1523
0	468

prune946.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes275.0ms

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

sample5.0s

Algorithm

intervals

Results

1.6s	2991×	body	1280	valid
1.0s	2562×	body	640	valid
889.0ms	8595×	body	80	valid
738.0ms	679×	body	160	valid
309.0ms	1234×	body	320	valid