Details

sample34.0ms

Algorithm

intervals

Results

23.0ms

256×

body

valid

simplify30.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

30.0ms

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 1 expressions with local error:

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

rewrite29.0ms

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:

Slowest

28.0ms

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

series56.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

56.0ms

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

simplify1.3s

Counts

37 → 39

Calls

37 calls:

Slowest

176.0ms	(+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))
175.0ms	(- (+ (* 5/24 (pow x 4)) 1) (* 1/2 (pow x 2)))
147.0ms	(/ (* (* 2 2) 2) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))
101.0ms	(/ 2 (+ (exp (* -1 x)) (exp x)))
57.0ms	(/ (* (cbrt 2) (cbrt 2)) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))

prune301.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite32.0ms

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:

Slowest

31.0ms

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

series49.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

49.0ms

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

simplify1.5s

Counts

37 → 39

Calls

37 calls:

Slowest

227.0ms	(+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))
151.0ms	(/ (* (* 2 2) 2) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))
145.0ms	(- (+ (* 5/24 (pow x 4)) 1) (* 1/2 (pow x 2)))
136.0ms	(/ 2 (+ (exp (* -1 x)) (exp x)))
87.0ms	(/ (* (cbrt 2) (cbrt 2)) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))

prune422.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

378×	`times-frac`
298×	`*-un-lft-identity`
224×	`sqrt-prod`
186×	`add-sqr-sqrt` `add-cube-cbrt`
56×	`distribute-lft-out`
30×	`associate-/l*`
20×	`sqrt-div` `associate-/r/`
14×	`associate-/r*`
10×	`flip3-+` `flip-+` `div-inv`
9×	`add-cbrt-cube` `add-exp-log`
4×	`cbrt-undiv` `div-exp`
2×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 291

Calls

2 calls:

Slowest

62.0ms	(/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))
31.0ms	(/ 2 (sqrt (+ (exp x) (exp (- x)))))

series168.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

119.0ms	(/ 2 (sqrt (+ (exp x) (exp (- x)))))
48.0ms	(/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))

simplify28.3s

Counts

477 → 297

Calls

477 calls:

Slowest

466.0ms	(/ (/ (* (* 2 2) 2) (* (* (sqrt (+ (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))) (* (* (sqrt (+ (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))))
413.0ms	(- (+ (* 5/48 (/ (pow x 4) (sqrt 1/2))) (* 2 (sqrt 1/2))) (+ (* 1/4 (/ (pow x 2) (sqrt 1/2))) (* 1/64 (/ (pow x 4) (pow (sqrt 1/2) 3)))))
409.0ms	(/ (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))) (sqrt (sqrt (+ (exp x) (exp (- x))))))
302.0ms	(/ (* (* 2 2) 2) (* (* (sqrt (+ (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))))
301.0ms	(/ (/ 2 (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) 1)

prune3.6s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes112.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample729.0ms

Algorithm

intervals

Results

616.0ms

8000×

body

valid