Details

sample192.0ms

Algorithm

halfpoints

Results

simplify203.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

203.0ms

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

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)))

rewrite45.0ms

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

22.0ms	(+ (/ (cos y) (exp x)) (* (cos y) (exp x)))
11.0ms	(* (cos y) (exp x))
10.0ms	(/ (cos y) (exp x))

series189.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

117.0ms	(+ (/ (cos y) (exp x)) (* (cos y) (exp x)))
41.0ms	(/ (cos y) (exp x))
31.0ms	(* (cos y) (exp x))

simplify1.6s

Counts

47 → 69

Calls

47 calls:

Slowest

465.0ms	(/ (* (* (cos y) (cos y)) (cos y)) (* (* (exp x) (exp x)) (exp x)))
337.0ms	(* (* (* (cos y) (cos y)) (cos y)) (* (* (exp x) (exp x)) (exp x)))
169.0ms	(* (exp (/ (cos y) (exp x))) (exp (* (cos y) (exp x))))
102.0ms	(- 1 (+ (* 1/2 (pow y 2)) x))
78.0ms	(- (+ x 1) (* 1/2 (pow y 2)))

prune718.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 104

Calls

4 calls:

Slowest

38.0ms	(+ (* (cos y) (/ 1 (exp x))) (* (cos y) (exp x)))
29.0ms	(* (cos y) (/ 1 (exp x)))
12.0ms	(* (cos y) (exp x))
6.0ms	(/ 1 (exp x))

series174.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

91.0ms	(+ (* (cos y) (/ 1 (exp x))) (* (cos y) (exp x)))
36.0ms	(* (cos y) (/ 1 (exp x)))
34.0ms	(* (cos y) (exp x))
11.0ms	(/ 1 (exp x))

simplify2.9s

Counts

85 → 116

Calls

85 calls:

Slowest

480.0ms	(* (* (* (cos y) (cos y)) (cos y)) (* (* (/ 1 (exp x)) (/ 1 (exp x))) (/ 1 (exp x))))
353.0ms	(* (* (* (cos y) (cos y)) (cos y)) (* (* (exp x) (exp x)) (exp x)))
316.0ms	(* (exp (* (cos y) (/ 1 (exp x)))) (exp (* (cos y) (exp x))))
209.0ms	(* (* (* (cos y) (cos y)) (cos y)) (/ (* (* 1 1) 1) (* (* (exp x) (exp x)) (exp x))))
125.0ms	(/ (* (* 1 1) 1) (* (* (exp x) (exp x)) (exp x)))

prune1.3s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample6.6s

Algorithm

halfpoints

Results