Details

sample32.0ms

Algorithm

intervals

Results

21.0ms

256×

body

valid

simplify10.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
2	12
1	10
0	7

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ 2 (+ (exp x) (exp (- x))))

rewrite43.0ms

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-cbrt-cube` `add-exp-log` `associate-/l*`
2×	`associate-/r/`
1×	`expm1-log1p-u` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 36

Calls

1 calls:

43.0ms

(/ 2 (+ (exp x) (exp (- x))))

series63.0ms

Counts

1 → 3

Calls

1 calls:

63.0ms

(/ 2 (+ (exp x) (exp (- x))))

simplify2.6s

Counts

39 → 39

Iterations

Iter	Nodes
done	5000
4	4580
3	1539
2	482
1	178
0	79

prune147.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 2 (+ (exp x) (exp (- x))))
0.5b	(expm1 (/ 2 (+ (exp x) (exp (- x)))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
12×	`times-frac`
11×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`associate-/r*` `add-cbrt-cube` `add-exp-log` `distribute-lft-out`
3×	`log1p-expm1-u` `associate-/l*`
2×	`expm1-log1p-u` `pow1` `associate-/r/` `insert-posit16` `add-log-exp`
1×	`cbrt-undiv` `expm1-log1p` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `div-inv` `expm1-udef`

Counts

2 → 48

Calls

2 calls:

25.0ms	(/ 2 (+ (exp x) (exp (- x))))
0.0ms	(expm1 (/ 2 (+ (exp x) (exp (- x)))))

series136.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(/ 2 (+ (exp x) (exp (- x))))
98.0ms	(expm1 (/ 2 (+ (exp x) (exp (- x)))))

simplify1.6s

Counts

54 → 54

Iterations

Iter	Nodes
done	5002
3	1850
2	623
1	229
0	101

prune210.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cbrt (/ 2 (+ (exp x) (exp (- x))))) (cbrt (/ 2 (+ (exp x) (exp (- x))))))
0.0b	(/ 2 (+ (exp x) (exp (- x))))
0.0b	(/ 2 (+ (exp x) (exp (- x))))
0.0b	(/ 2 (+ (exp x) (exp (- x))))

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

137×	`*-un-lft-identity`
102×	`times-frac`
96×	`cbrt-prod`
95×	`add-sqr-sqrt`
71×	`add-cube-cbrt`
30×	`distribute-lft-out`
27×	`swap-sqr`
21×	`associate-r` `associate-l`
14×	`associate-/r/`
12×	`associate-/r*` `add-exp-log`
11×	`pow1`
10×	`add-cbrt-cube`
9×	`associate-/l*` `unswap-sqr`
7×	`flip3-+` `flip-+` `div-inv`
6×	`pow1/3`
4×	`expm1-log1p-u` `cbrt-div` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 210

Calls

4 calls:

89.0ms	(* (cbrt (/ 2 (+ (exp x) (exp (- x))))) (cbrt (/ 2 (+ (exp x) (exp (- x))))))
23.0ms	(/ 2 (+ (exp x) (exp (- x))))
19.0ms	(/ 2 (+ (exp x) (exp (- x))))
24.0ms	(/ 2 (+ (exp x) (exp (- x))))

series436.0ms

Counts

4 → 12

Calls

4 calls:

294.0ms	(* (cbrt (/ 2 (+ (exp x) (exp (- x))))) (cbrt (/ 2 (+ (exp x) (exp (- x))))))
48.0ms	(/ 2 (+ (exp x) (exp (- x))))
43.0ms	(/ 2 (+ (exp x) (exp (- x))))
51.0ms	(/ 2 (+ (exp x) (exp (- x))))

simplify2.6s

Counts

222 → 222

Iterations

Iter	Nodes
done	5002
3	3227
2	1086
1	437
0	212

prune1.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes84.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	10
1	10
0	9

end0.0ms

sample912.0ms

Algorithm

intervals

Results

806.0ms

8000×

body

valid