Details

sample146.0ms

Algorithm

halfpoints

Results

simplify248.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

248.0ms

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

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube`
3×	`associate-/r` `add-exp-log` `associate-/l`
2×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `fma-udef` `div-inv`

Counts

2 → 41

Calls

2 calls:

Slowest

10.0ms	(/ (cos y) (exp x))
0.0ms	(fma (cos y) (exp x) (/ (cos y) (exp x)))

series119.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

85.0ms	(fma (cos y) (exp x) (/ (cos y) (exp x)))
34.0ms	(/ (cos y) (exp x))

simplify981.0ms

Counts

31 → 47

Calls

31 calls:

Slowest

440.0ms	(/ (* (* (cos y) (cos y)) (cos y)) (* (* (exp x) (exp x)) (exp x)))
166.0ms	(- 1 (+ (* 1/2 (pow y 2)) x))
72.0ms	(- (+ (pow x 2) 2) (pow y 2))
68.0ms	(/ (* (cbrt (cos y)) (cbrt (cos y))) (* (cbrt (exp x)) (cbrt (exp x))))
24.0ms	(/ (* (cbrt (cos y)) (cbrt (cos y))) 1)

prune487.0ms

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

rewrite52.0ms

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×	`expm1-log1p-u` `associate-/r` `associate-r` `associate-l` `insert-posit16` `log1p-expm1-u` `associate-/l`
2×	`div-inv`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `fma-def` `frac-2neg` `flip3-+` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

3 → 67

Calls

3 calls:

Slowest

21.0ms	(+ (* (cos y) (exp x)) (/ (cos y) (exp x)))
19.0ms	(/ (cos y) (exp x))
11.0ms	(* (cos y) (exp x))

series199.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

106.0ms	(+ (* (cos y) (exp x)) (/ (cos y) (exp x)))
53.0ms	(/ (cos y) (exp x))
40.0ms	(* (cos y) (exp x))

simplify1.7s

Counts

48 → 76

Calls

48 calls:

Slowest

425.0ms	(/ (* (* (cos y) (cos y)) (cos y)) (* (* (exp x) (exp x)) (exp x)))
334.0ms	(* (* (* (cos y) (cos y)) (cos y)) (* (* (exp x) (exp x)) (exp x)))
192.0ms	(* (exp (* (cos y) (exp x))) (exp (/ (cos y) (exp x))))
124.0ms	(- 1 (+ (* 1/2 (pow y 2)) x))
106.0ms	(- (+ x 1) (* 1/2 (pow y 2)))

prune674.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample5.1s

Algorithm

halfpoints

Results