Details

sample258.0ms

Algorithm

halfpoints

Results

simplify242.0ms

Calls

1 calls:

Slowest

242.0ms

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

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

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)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `*-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`

Calls

3 calls:

Slowest

22.0ms	(+ (/ (cos y) (exp x)) (* (cos y) (exp x)))
6.0ms	(* (cos y) (exp x))
4.0ms	(/ (cos y) (exp x))

series147.0ms

Calls

3 calls:

Slowest

76.0ms	(+ (/ (cos y) (exp x)) (* (cos y) (exp x)))
36.0ms	(/ (cos y) (exp x))
36.0ms	(* (cos y) (exp x))

simplify875.0ms

Calls

45 calls:

Slowest

164.0ms	(/ (* (* (cos y) (cos y)) (cos y)) (* (* (exp x) (exp x)) (exp x)))
128.0ms	(* (* (* (cos y) (cos y)) (cos y)) (* (* (exp x) (exp x)) (exp x)))
123.0ms	(- 1 (+ (* 1/2 (pow y 2)) x))
62.0ms	(- (+ (pow x 2) 2) (pow y 2))
61.0ms	(/ (* (cbrt (cos y)) (cbrt (cos y))) (* (cbrt (exp x)) (cbrt (exp x))))

prune691.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize61.0ms

Local error

Found 3 expressions with local error:

18.2b	(- (exp x) (exp (- x)))
0.1b	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
0.0b	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`associate-l`
7×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
6×	`associate-r`
5×	`add-log-exp`
3×	`insert-posit16`
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

18.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
13.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
9.0ms	(- (exp x) (exp (- x)))

series196.0ms

Calls

3 calls:

Slowest

89.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
56.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
50.0ms	(- (exp x) (exp (- x)))

simplify3.1s

Calls

33 calls:

Slowest

746.0ms	(* (* (* (/ (- (exp x) (exp (- x))) 2) (/ (- (exp x) (exp (- x))) 2)) (/ (- (exp x) (exp (- x))) 2)) (* (* (sin y) (sin y)) (sin y)))
332.0ms	(* (* (* (/ (+ (exp x) (exp (- x))) 2) (/ (+ (exp x) (exp (- x))) 2)) (/ (+ (exp x) (exp (- x))) 2)) (* (* (cos y) (cos y)) (cos y)))
198.0ms	(* 1/2 (* (- (exp x) (exp (* -1 x))) (sin y)))
198.0ms	(* 1/2 (* (- (exp x) (exp (- x))) (sin y)))
188.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))

prune812.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
13×	`add-cbrt-cube`
12×	`associate-r` `add-exp-log`
11×	`pow1`
9×	`times-frac`
6×	`sqrt-prod` `add-log-exp`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16`
3×	`associate-/r` `associate-/l`
2×	`*-commutative`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-exp` `flip-+` `div-inv`

Calls

4 calls:

Slowest

17.0ms	(+ (/ (cos y) (exp x)) (* (* (cos y) (sqrt (exp x))) (sqrt (exp x))))
17.0ms	(* (* (cos y) (sqrt (exp x))) (sqrt (exp x)))
6.0ms	(* (cos y) (sqrt (exp x)))
4.0ms	(/ (cos y) (exp x))

series191.0ms

Calls

4 calls:

Slowest

65.0ms	(+ (/ (cos y) (exp x)) (* (* (cos y) (sqrt (exp x))) (sqrt (exp x))))
49.0ms	(* (cos y) (sqrt (exp x)))
40.0ms	(/ (cos y) (exp x))
37.0ms	(* (* (cos y) (sqrt (exp x))) (sqrt (exp x)))

simplify2.2s

Calls

62 calls:

Slowest

629.0ms	(* (* (* (* (cos y) (cos y)) (cos y)) (* (* (sqrt (exp x)) (sqrt (exp x))) (sqrt (exp x)))) (* (* (sqrt (exp x)) (sqrt (exp x))) (sqrt (exp x))))
450.0ms	(* (* (* (* (cos y) (sqrt (exp x))) (* (cos y) (sqrt (exp x)))) (* (cos y) (sqrt (exp x)))) (* (* (sqrt (exp x)) (sqrt (exp x))) (sqrt (exp x))))
187.0ms	(/ (* (* (cos y) (cos y)) (cos y)) (* (* (exp x) (exp x)) (exp x)))
118.0ms	(- (+ (* 1/2 x) 1) (* 1/2 (pow y 2)))
108.0ms	(- 1 (+ (* 1/2 (pow y 2)) x))

prune934.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes115.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample4.3s

Algorithm

halfpoints

Results