Details

sample236.0ms

Algorithm

halfpoints

Results

simplify206.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

206.0ms

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

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)))

rewrite74.0ms

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`

Counts

3 → 60

Calls

3 calls:

Slowest

38.0ms	(+ (/ (cos y) (exp x)) (* (cos y) (exp x)))
21.0ms	(* (cos y) (exp x))
13.0ms	(/ (cos y) (exp x))

series144.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

70.0ms	(+ (/ (cos y) (exp x)) (* (cos y) (exp x)))
45.0ms	(/ (cos y) (exp x))
30.0ms	(* (cos y) (exp x))

simplify1.4s

Counts

47 → 69

Calls

47 calls:

Slowest

345.0ms	(/ (* (* (cos y) (cos y)) (cos y)) (* (* (exp x) (exp x)) (exp x)))
310.0ms	(* (* (* (cos y) (cos y)) (cos y)) (* (* (exp x) (exp x)) (exp x)))
164.0ms	(* (exp (/ (cos y) (exp x))) (exp (* (cos y) (exp x))))
106.0ms	(- 1 (+ (* 1/2 (pow y 2)) x))
69.0ms	(- (+ (pow x 2) 2) (pow y 2))

prune701.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize37.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (exp x))
0.0b	(* (cos y) (+ (/ 1 (exp x)) (exp x)))
0.0b	(+ (/ 1 (exp x)) (exp x))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 74

Calls

3 calls:

Slowest

53.0ms	(* (cos y) (+ (/ 1 (exp x)) (exp x)))
14.0ms	(+ (/ 1 (exp x)) (exp x))
6.0ms	(/ 1 (exp x))

series122.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

68.0ms	(* (cos y) (+ (/ 1 (exp x)) (exp x)))
40.0ms	(+ (/ 1 (exp x)) (exp x))
14.0ms	(/ 1 (exp x))

simplify1.5s

Counts

58 → 83

Calls

58 calls:

Slowest

208.0ms	(* (* (* (cos y) (cos y)) (cos y)) (* (* (+ (/ 1 (exp x)) (exp x)) (+ (/ 1 (exp x)) (exp x))) (+ (/ 1 (exp x)) (exp x))))
141.0ms	(+ (* (/ 1 (exp x)) (/ 1 (exp x))) (- (* (exp x) (exp x)) (* (/ 1 (exp x)) (exp x))))
123.0ms	(/ (* (* 1 1) 1) (* (* (exp x) (exp x)) (exp x)))
85.0ms	(* (+ (exp x) (/ 1 (exp x))) (cos y))
76.0ms	(* (cos y) (+ (/ 1 (exp x)) (exp x)))

prune861.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample4.6s

Algorithm

halfpoints

Results