Details

sample229.0ms

Algorithm

halfpoints

Results

simplify210.0ms

Calls

1 calls:

Slowest

209.0ms

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

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize49.0ms

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))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
35×	`associate-l`
29×	`times-frac`
22×	`add-cube-cbrt`
13×	`add-cbrt-cube` `add-exp-log`
7×	`pow1`
6×	`associate-r`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
3×	`insert-posit16` `distribute-lft-out`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Calls

3 calls:

Slowest

43.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
38.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
11.0ms	(- (exp x) (exp (- x)))

series253.0ms

Calls

3 calls:

Slowest

119.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
84.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
50.0ms	(- (exp x) (exp (- x)))

simplify5.2s

Calls

72 calls:

Slowest

743.0ms	(* (* (* (/ (- (exp x) (exp (- x))) 2) (/ (- (exp x) (exp (- x))) 2)) (/ (- (exp x) (exp (- x))) 2)) (* (* (sin y) (sin y)) (sin y)))
399.0ms	(+ (log (/ (+ (exp x) (exp (- x))) 2)) (log (cos y)))
359.0ms	(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
348.0ms	(* (* (* (/ (+ (exp x) (exp (- x))) 2) (/ (+ (exp x) (exp (- x))) 2)) (/ (+ (exp x) (exp (- x))) 2)) (* (* (cos y) (cos y)) (cos y)))
194.0ms	(* 1/2 (* (- (exp x) (exp (* -1 x))) (sin y)))

prune1.3s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 3 expressions with local error:

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

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
7×	`add-cbrt-cube`
5×	`pow1` `add-exp-log` `add-log-exp`
3×	`associate-/r` `associate-r` `associate-l` `insert-posit16` `associate-/l`
2×	`div-inv`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Calls

3 calls:

Slowest

44.0ms	(+ (/ (cos y) (exp x)) (* (cos y) (exp x)))
21.0ms	(* (cos y) (exp x))
17.0ms	(/ (cos y) (exp x))

series191.0ms

Calls

3 calls:

Slowest

91.0ms	(+ (/ (cos y) (exp x)) (* (cos y) (exp x)))
50.0ms	(/ (cos y) (exp x))
50.0ms	(* (cos y) (exp x))

simplify1.5s

Calls

47 calls:

Slowest

351.0ms	(/ (* (* (cos y) (cos y)) (cos y)) (* (* (exp x) (exp x)) (exp x)))
332.0ms	(* (* (* (cos y) (cos y)) (cos y)) (* (* (exp x) (exp x)) (exp x)))
183.0ms	(* (exp (/ (cos y) (exp x))) (exp (* (cos y) (exp x))))
130.0ms	(- 1 (+ (* 1/2 (pow y 2)) x))
63.0ms	(- (+ (pow x 2) 2) (pow y 2))

prune753.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes176.0ms

Accuracy

0% (0.0b remaining)

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

bsearch5.0ms

end0.0ms

sample6.4s

Algorithm

halfpoints

Results