Details

Time bar (total: 7.5s)

sample180.0ms

Algorithm
halfpoints
Results

simplify244.0ms

Calls
1 calls:
Slowest
243.0ms
(re (complex (* (/ (+ (exp x) (exp (- x))) 2) (cos y)) (* (/ (- (exp x) (exp (- x))) 2) (sin y))))

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize18.0ms

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)))

rewrite5.0ms

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
Calls
2 calls:
Slowest
4.0ms
(/ (cos y) (exp x))
0.0ms
(fma (cos y) (exp x) (/ (cos y) (exp x)))

series132.0ms

Calls
2 calls:
Slowest
80.0ms
(fma (cos y) (exp x) (/ (cos y) (exp x)))
52.0ms
(/ (cos y) (exp x))

simplify581.0ms

Calls
31 calls:
Slowest
168.0ms
(/ (* (* (cos y) (cos y)) (cos y)) (* (* (exp x) (exp x)) (exp x)))
143.0ms
(- 1 (+ (* 1/2 (pow y 2)) x))
42.0ms
(- (+ (pow x 2) 2) (pow y 2))
32.0ms
(/ (* (cbrt (cos y)) (cbrt (cos y))) (* (cbrt (exp x)) (cbrt (exp x))))
17.0ms
(+ (/ (cos y) (exp x)) (* (exp x) (cos y)))

prune455.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample5.9s

Algorithm
halfpoints
Results