Details

sample31.0ms

Algorithm

intervals

Results

15.0ms

256×

body

valid

simplify8.0ms

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

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite28.0ms

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-+` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 35

Calls

1 calls:

27.0ms

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

series77.0ms

Counts

1 → 3

Calls

1 calls:

77.0ms

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

simplify1.9s

Counts

38 → 38

Iterations

Iter	Nodes
done	5000
3	3926
2	630
1	175
0	80

prune175.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (/ 2.0 (+ (exp (- x)) (exp x))) 3)
0.0b	(cbrt (pow (/ 2.0 (+ (exp (- x)) (exp x))) 3))
0.0b	(/ 2.0 (+ (exp (- x)) (exp x)))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity`
60×	`times-frac`
46×	`add-sqr-sqrt` `add-cube-cbrt`
42×	`cbrt-prod`
36×	`unpow-prod-down` `cube-prod`
16×	`distribute-lft-out`
10×	`associate-/r/`
8×	`add-cbrt-cube` `add-exp-log`
5×	`flip3-+` `flip-+` `div-inv`
4×	`pow1` `associate-/r*`
3×	`expm1-log1p-u` `pow-unpow` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`cube-div` `cube-mult` `cbrt-undiv` `unpow3` `div-exp` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `clear-num` `pow-pow` `frac-2neg` `pow1/3` `rem-cbrt-cube`

Counts

3 → 147

Calls

3 calls:

42.0ms	(pow (/ 2.0 (+ (exp (- x)) (exp x))) 3)
45.0ms	(cbrt (pow (/ 2.0 (+ (exp (- x)) (exp x))) 3))
34.0ms	(/ 2.0 (+ (exp (- x)) (exp x)))

series241.0ms

Counts

3 → 9

Calls

3 calls:

130.0ms	(pow (/ 2.0 (+ (exp (- x)) (exp x))) 3)
55.0ms	(cbrt (pow (/ 2.0 (+ (exp (- x)) (exp x))) 3))
56.0ms	(/ 2.0 (+ (exp (- x)) (exp x)))

simplify1.9s

Counts

156 → 156

Iterations

Iter	Nodes
done	5001
2	3419
1	614
0	185

prune594.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (pow (* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) 3))
0.0b	(pow (* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) 3)
0.0b	(/ (sqrt 2.0) (+ (exp x) (exp (- x))))
0.5b	(* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

66×	`*-un-lft-identity`
56×	`add-sqr-sqrt`
52×	`times-frac`
40×	`add-cube-cbrt`
35×	`sqrt-prod`
30×	`associate-r`
17×	`add-cbrt-cube` `add-exp-log`
13×	`distribute-lft-out`
9×	`pow1`
8×	`cbrt-prod`
6×	`associate-l` `associate-/l*` `unswap-sqr`
4×	`expm1-log1p-u` `associate-/r*` `prod-exp` `associate-/r/` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `pow-unpow` `div-exp` `pow-exp` `associate-*r/` `rem-cube-cbrt`
2×	`cube-div` `cube-mult` `unpow-prod-down` `pow-pow` `flip3-+` `unpow3` `cube-prod` `pow-prod-down` `flip-+` `div-inv` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `clear-num` `frac-2neg` `pow1/3` `*-commutative` `rem-cbrt-cube`

Counts

4 → 155

Calls

4 calls:

3.0ms	(cbrt (pow (* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) 3))
35.0ms	(pow (* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) 3)
45.0ms	(/ (sqrt 2.0) (+ (exp x) (exp (- x))))
60.0ms	(* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))

series630.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(cbrt (pow (* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) 3))
268.0ms	(pow (* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) 3)
92.0ms	(/ (sqrt 2.0) (+ (exp x) (exp (- x))))
139.0ms	(* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))

simplify2.4s

Counts

167 → 167

Iterations

Iter	Nodes
done	5000
2	3533
1	534
0	206

prune791.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes68.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	11
1	11
0	10

end0.0ms

sample575.0ms

Algorithm

intervals

Results

390.0ms

8000×

body

valid