Details

sample12.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify32.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	10	8
2	12	8
3	14	8
4	15	8
5	21	8
6	33	8
7	57	8
8	158	8
9	1531	8
done	5000	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ 2.0 (+ (exp x) (exp (- x))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
12×	`times-frac`
10×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`associate-/r*` `distribute-lft-out`
3×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
2×	`associate-/r/`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 35

Calls

1 calls:

10.0ms

(/ 2.0 (+ (exp x) (exp (- x))))

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

(/ 2.0 (+ (exp x) (exp (- x))))

simplify1.3s

Counts

38 → 38

Iterations

Useful iterations: 3 (237.0ms)

Iter	Nodes	Cost
0	80	510
1	171	489
2	537	455
3	2156	454
done	5001	454

prune81.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))
0.2b	(sqrt (+ (exp x) (exp (- x))))
0.2b	(sqrt (+ (exp x) (exp (- x))))
0.5b	(/ 2.0 (sqrt (+ (exp x) (exp (- x)))))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

378×	`times-frac`
306×	`*-un-lft-identity`
232×	`sqrt-prod`
196×	`add-sqr-sqrt`
190×	`add-cube-cbrt`
58×	`distribute-lft-out`
30×	`associate-/l*`
24×	`sqrt-div`
20×	`associate-/r/`
14×	`associate-/r*`
12×	`flip3-+` `flip-+`
11×	`add-exp-log` `add-cbrt-cube`
10×	`div-inv`
6×	`pow1`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `clear-num` `hypot-def`
1×	`associate-/l/`

Counts

4 → 327

Calls

4 calls:

33.0ms	(/ (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))
10.0ms	(sqrt (+ (exp x) (exp (- x))))
10.0ms	(sqrt (+ (exp x) (exp (- x))))
11.0ms	(/ 2.0 (sqrt (+ (exp x) (exp (- x)))))

series239.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(/ (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))
53.0ms	(sqrt (+ (exp x) (exp (- x))))
48.0ms	(sqrt (+ (exp x) (exp (- x))))
92.0ms	(/ 2.0 (sqrt (+ (exp x) (exp (- x)))))

simplify1.3s

Counts

339 → 339

Iterations

Useful iterations: 2 (275.0ms)

Iter	Nodes	Cost
0	344	9793
1	768	8551
2	2555	7777
done	5000	7777

prune548.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes43.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	8	8
done	8	8

end0.0ms

sample262.0ms

Algorithm

intervals

Results

175.0ms

8000×

body

valid