Details

sample210.0ms

Algorithm

halfpoints

Results

simplify232.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

232.0ms

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 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)))

rewrite78.0ms

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)))
27.0ms	(* (cos y) (exp x))
12.0ms	(/ (cos y) (exp x))

series196.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

88.0ms	(+ (/ (cos y) (exp x)) (* (cos y) (exp x)))
60.0ms	(/ (cos y) (exp x))
49.0ms	(* (cos y) (exp x))

simplify1.6s

Counts

47 → 69

Calls

47 calls:

Slowest

429.0ms	(/ (* (* (cos y) (cos y)) (cos y)) (* (* (exp x) (exp x)) (exp x)))
410.0ms	(* (* (* (cos y) (cos y)) (cos y)) (* (* (exp x) (exp x)) (exp x)))
186.0ms	(* (exp (/ (cos y) (exp x))) (exp (* (cos y) (exp x))))
96.0ms	(- 1 (+ (* 1/2 (pow y 2)) x))
73.0ms	(- (+ (pow x 2) 2) (pow y 2))

prune659.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample5.1s

Algorithm

halfpoints

Results