Details

sample32.0ms

Algorithm

intervals

Results

21.0ms

256×

body

valid

simplify31.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

31.0ms

(/ 2 (+ (exp x) (exp (- x))))

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 2 (+ (exp x) (exp (- x))))
0.0b	(+ (exp x) (exp (- x)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
12×	`times-frac`
11×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`distribute-lft-out`
4×	`associate-/r*` `add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `flip3-+` `associate-/r/` `flip-+` `insert-posit16`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

2 → 47

Calls

2 calls:

Slowest

32.0ms	(/ 2 (+ (exp x) (exp (- x))))
18.0ms	(+ (exp x) (exp (- x)))

series84.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

42.0ms	(/ 2 (+ (exp x) (exp (- x))))
41.0ms	(+ (exp x) (exp (- x)))

simplify1.7s

Counts

42 → 53

Calls

42 calls:

Slowest

444.0ms	(/ (* (* 2 2) 2) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))
175.0ms	(+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))
112.0ms	(/ 2 (+ (exp (* -1 x)) (exp x)))
107.0ms	(- (+ (* 5/24 (pow x 4)) 1) (* 1/2 (pow x 2)))
61.0ms	(/ (* (cbrt 2) (cbrt 2)) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))

prune469.0ms

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	(/ 2 (+ (exp x) (exp (- x))))
0.0b	(/ 2 (+ (exp x) (exp (- x))))
0.0b	(+ (exp x) (exp (- x)))
0.0b	(+ (exp x) (exp (- x)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity`
24×	`times-frac`
22×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`distribute-lft-out`
8×	`associate-/r*` `add-cbrt-cube` `add-exp-log` `add-log-exp`
6×	`associate-/l*`
4×	`pow1` `flip3-+` `associate-/r/` `flip-+` `insert-posit16`
2×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 94

Calls

4 calls:

Slowest

27.0ms	(/ 2 (+ (exp x) (exp (- x))))
17.0ms	(+ (exp x) (exp (- x)))
14.0ms	(/ 2 (+ (exp x) (exp (- x))))
9.0ms	(+ (exp x) (exp (- x)))

series168.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

46.0ms	(/ 2 (+ (exp x) (exp (- x))))
44.0ms	(+ (exp x) (exp (- x)))
42.0ms	(+ (exp x) (exp (- x)))
36.0ms	(/ 2 (+ (exp x) (exp (- x))))

simplify3.8s

Counts

84 → 106

Calls

84 calls:

Slowest

478.0ms	(/ (* (* 2 2) 2) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))
467.0ms	(/ (* (* 2 2) 2) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))
219.0ms	(+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))
212.0ms	(+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))
147.0ms	(/ 2 (+ (exp (* -1 x)) (exp x)))

prune1.2s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample690.0ms

Algorithm

intervals

Results

584.0ms

8000×

body

valid