Details

sample207.0ms

Algorithm

halfpoints

Results

simplify214.0ms

Calls

1 calls:

Slowest

214.0ms

(re (complex (* (/ (+ (exp x) (exp (- x))) 2) (cos y)) (* (/ (- (exp x) (exp (- x))) 2) (sin y))))

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize80.0ms

Local error

Found 3 expressions with local error:

17.7b	(- (exp x) (exp (- x)))
0.1b	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
0.0b	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`add-cube-cbrt`
9×	`prod-diff`
8×	`associate-l`
7×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`associate-r`
5×	`add-log-exp`
3×	`expm1-log1p-u` `fma-neg` `insert-posit16` `log1p-expm1-u`
2×	`pow-prod-down` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `div-inv`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--` `difference-of-squares`

Calls

3 calls:

Slowest

24.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
18.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
13.0ms	(- (exp x) (exp (- x)))

series265.0ms

Calls

3 calls:

Slowest

122.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
102.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
40.0ms	(- (exp x) (exp (- x)))

simplify4.3s

Calls

53 calls:

Slowest

841.0ms	(* (* (* (/ (- (exp x) (exp (- x))) 2) (/ (- (exp x) (exp (- x))) 2)) (/ (- (exp x) (exp (- x))) 2)) (* (* (sin y) (sin y)) (sin y)))
399.0ms	(* (* (* (/ (+ (exp x) (exp (- x))) 2) (/ (+ (exp x) (exp (- x))) 2)) (/ (+ (exp x) (exp (- x))) 2)) (* (* (cos y) (cos y)) (cos y)))
210.0ms	(* 1/2 (* (+ (exp (* -1 x)) (exp x)) (cos y)))
194.0ms	(* 1/2 (* (- (exp x) (exp (* -1 x))) (sin y)))
177.0ms	(- (+ (* 1/2 (pow x 2)) 1) (* 1/2 (pow y 2)))

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (cos y) (exp x))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
3×	`associate-/r` `add-cbrt-cube` `associate-/l`
2×	`add-exp-log`
1×	`expm1-log1p-u` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`

Calls

1 calls:

Slowest

4.0ms

(/ (cos y) (exp x))

series38.0ms

Calls

1 calls:

Slowest

38.0ms

(/ (cos y) (exp x))

simplify504.0ms

Calls

28 calls:

Slowest

173.0ms	(/ (* (* (cos y) (cos y)) (cos y)) (* (* (exp x) (exp x)) (exp x)))
123.0ms	(- 1 (+ (* 1/2 (pow y 2)) x))
31.0ms	(/ (* (cbrt (cos y)) (cbrt (cos y))) (* (cbrt (exp x)) (cbrt (exp x))))
28.0ms	(/ (* (cbrt (cos y)) (cbrt (cos y))) (sqrt (exp x)))
21.0ms	(/ (sqrt (cos y)) (* (cbrt (exp x)) (cbrt (exp x))))

prune306.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes138.0ms

Accuracy

0% (0.0b remaining)

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

bsearch5.0ms

end0.0ms

sample6.2s

Algorithm

halfpoints

Results