Details

Time bar (total: 11.2s)

sample216.0ms

Algorithm
intervals
Results
81.0ms98×body1280valid
53.0ms90×body640valid
45.0ms284×body80valid
16.0ms36×body320valid
5.0ms16×body160valid

simplify204.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
203.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 2 expressions with local error:

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

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
pow1 *-un-lft-identity add-cbrt-cube add-exp-log
associate-*r* add-log-exp
add-sqr-sqrt pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
flip3-+ associate-*r/ flip-+ insert-posit16 distribute-lft-out
distribute-rgt-in +-commutative sum-log distribute-lft-in associate-*l* *-commutative
Counts
2 → 37
Calls
2 calls:
Slowest
64.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
14.0ms
(+ (exp (- im)) (exp im))

series120.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
85.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
35.0ms
(+ (exp (- im)) (exp im))

simplify2.1s

Counts
22 → 43
Calls
22 calls:
Slowest
386.0ms
(* (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (+ (exp (- im)) (exp im)) (+ (exp (- im)) (exp im))) (+ (exp (- im)) (exp im))))
326.0ms
(* (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (+ (exp (- im)) (exp im)) (+ (exp (- im)) (exp im))) (+ (exp (- im)) (exp im))))
210.0ms
(* 0.5 (* (+ (exp im) (exp (* -1 im))) (cos re)))
171.0ms
(* 0.5 (* (cos re) (+ (exp (- im)) (exp im))))
169.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

prune430.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.0b

end0.0ms

sample8.0s

Algorithm
intervals
Results
3.5s2978×body1280valid
1.6s2538×body640valid
1.3s8619×body80valid
658.0ms612×body160valid
534.0ms1213×body320valid