Details

Time bar (total: 8.6s)

sample176.0ms

Algorithm
halfpoints
Results

simplify231.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
230.0ms
(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: 0b

localize33.0ms

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)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
times-frac
add-cbrt-cube
associate-/r* add-exp-log associate-/l*
expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
cbrt-undiv clear-num frac-2neg div-exp fma-udef div-inv
Counts
2 → 41
Calls
2 calls:
Slowest
19.0ms
(/ (cos y) (exp x))
0.0ms
(fma (cos y) (exp x) (/ (cos y) (exp x)))

series133.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
90.0ms
(fma (cos y) (exp x) (/ (cos y) (exp x)))
43.0ms
(/ (cos y) (exp x))

simplify893.0ms

Counts
31 → 47
Calls
31 calls:
Slowest
400.0ms
(/ (* (* (cos y) (cos y)) (cos y)) (* (* (exp x) (exp x)) (exp x)))
140.0ms
(- 1 (+ (* 1/2 (pow y 2)) x))
79.0ms
(- (+ (pow x 2) 2) (pow y 2))
38.0ms
(/ (* (cbrt (cos y)) (cbrt (cos y))) (* (cbrt (exp x)) (cbrt (exp x))))
32.0ms
(/ (* (cbrt (cos y)) (cbrt (cos y))) (sqrt (exp x)))

prune495.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample6.6s

Algorithm
halfpoints
Results