Details

Time bar (total: 12.8s)

sample187.0ms

Algorithm
intervals
Results
71.0ms98×body1280valid
45.0ms90×body640valid
36.0ms284×body80valid
12.0ms36×body320valid
3.0ms16×body160valid

simplify721.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
721.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
0.0b
(+ (exp (- im)) (exp im))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
7×pow1 add-cbrt-cube add-exp-log
4×add-sqr-sqrt associate-*r* add-cube-cbrt add-log-exp
3×fma-def pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-+ associate-*r/ flip-+ insert-posit16 log1p-expm1-u distribute-lft-out
1×distribute-rgt-in +-commutative sum-log distribute-lft-in associate-*l* *-commutative
Counts
2 → 44
Calls
2 calls:
Slowest
67.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
23.0ms
(+ (exp (- im)) (exp im))

series130.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
100.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
30.0ms
(+ (exp (- im)) (exp im))

simplify2.7s

Counts
24 → 50
Calls
24 calls:
Slowest
469.0ms
(* (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (+ (exp (- im)) (exp im)) (+ (exp (- im)) (exp im))) (+ (exp (- im)) (exp im))))
456.0ms
(* (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (+ (exp (- im)) (exp im)) (+ (exp (- im)) (exp im))) (+ (exp (- im)) (exp im))))
304.0ms
(* 0.5 (* (+ (exp im) (exp (* -1 im))) (cos re)))
255.0ms
(* 0.5 (* (cos re) (+ (exp (- im)) (exp im))))
224.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

prune545.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.0b

end0.0ms

sample8.4s

Algorithm
intervals
Results
3.7s2978×body1280valid
2.2s2538×body640valid
1.3s8619×body80valid
598.0ms1213×body320valid
169.0ms612×body160valid