Details

sample135.0ms

Algorithm

halfpoints

Results

simplify187.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

187.0ms

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

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 47

Calls

2 calls:

Slowest

17.0ms	(/ (cos y) (exp x))
10.0ms	(* (cos y) (exp x))

series100.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

64.0ms	(/ (cos y) (exp x))
36.0ms	(* (cos y) (exp x))

simplify1.1s

Counts

41 → 53

Calls

41 calls:

Slowest

345.0ms	(/ (* (* (cos y) (cos y)) (cos y)) (* (* (exp x) (exp x)) (exp x)))
315.0ms	(* (* (* (cos y) (cos y)) (cos y)) (* (* (exp x) (exp x)) (exp x)))
113.0ms	(- 1 (+ (* 1/2 (pow y 2)) x))
52.0ms	(/ (* (cbrt (cos y)) (cbrt (cos y))) (* (cbrt (exp x)) (cbrt (exp x))))
47.0ms	(- (+ x 1) (* 1/2 (pow y 2)))

prune468.0ms

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

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

276×	`times-frac`
162×	`add-sqr-sqrt`
160×	`*-un-lft-identity` `add-cube-cbrt`
150×	`sqrt-prod`
25×	`associate-/l*`
12×	`associate-/r*`
11×	`add-cbrt-cube` `add-exp-log`
9×	`div-inv`
8×	`sqrt-pow1`
6×	`pow1` `exp-prod`
4×	`cbrt-undiv` `div-exp` `insert-posit16` `add-log-exp`
2×	`rem-sqrt-square` `clear-num` `frac-2neg` `pow1/2`
1×	`associate-/l/`

Counts

4 → 250

Calls

4 calls:

Slowest

27.0ms	(/ (/ (cos y) (sqrt (exp x))) (sqrt (exp x)))
17.0ms	(/ (cos y) (sqrt (exp x)))
4.0ms	(sqrt (exp x))
3.0ms	(sqrt (exp x))

series137.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

62.0ms	(/ (cos y) (sqrt (exp x)))
46.0ms	(/ (/ (cos y) (sqrt (exp x))) (sqrt (exp x)))
16.0ms	(sqrt (exp x))
13.0ms	(sqrt (exp x))

simplify10.9s

Counts

370 → 262

Calls

370 calls:

Slowest

341.0ms	(/ (* (* (cos y) (cos y)) (cos y)) (* (* (sqrt (exp x)) (sqrt (exp x))) (sqrt (exp x))))
318.0ms	(/ (/ (* (* (cos y) (cos y)) (cos y)) (* (* (sqrt (exp x)) (sqrt (exp x))) (sqrt (exp x)))) (* (* (sqrt (exp x)) (sqrt (exp x))) (sqrt (exp x))))
292.0ms	(/ (* (* (/ (cos y) (sqrt (exp x))) (/ (cos y) (sqrt (exp x)))) (/ (cos y) (sqrt (exp x)))) (* (* (sqrt (exp x)) (sqrt (exp x))) (sqrt (exp x))))
186.0ms	(/ (/ (* (cbrt (cos y)) (cbrt (cos y))) (sqrt (sqrt (exp x)))) (* (cbrt (sqrt (exp x))) (cbrt (sqrt (exp x)))))
164.0ms	(/ (/ (* (cbrt (cos y)) (cbrt (cos y))) (sqrt (sqrt (exp x)))) (* (cbrt (sqrt (exp x))) (cbrt (sqrt (exp x)))))

prune3.2s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample7.2s

Algorithm

halfpoints

Results