Details

Time bar (total: 4.2s)

sample94.0ms

Algorithm
intervals
Results
36.0ms213×body80valid
27.0ms49×body1280valid
14.0ms42×body640valid
5.0ms20×body320valid
2.0ms11×body160valid

simplify5.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
5.0ms
(* (exp re) (cos im))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (exp re) (cos im))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 *-un-lft-identity add-cbrt-cube associate-*r* associate-*l* add-cube-cbrt
add-exp-log
expm1-log1p-u pow-prod-down prod-exp *-commutative cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 21
Calls
1 calls:
Slowest
23.0ms
(* (exp re) (cos im))

series52.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
52.0ms
(* (exp re) (cos im))

simplify471.0ms

Counts
13 → 24
Calls
13 calls:
Slowest
326.0ms
(* (* (* (exp re) (exp re)) (exp re)) (* (* (cos im) (cos im)) (cos im)))
68.0ms
(+ re (+ (* 1/2 (pow re 2)) 1))
17.0ms
(+ re (log (cos im)))
11.0ms
(* (sqrt (exp re)) (sqrt (cos im)))
11.0ms
(* (sqrt (exp re)) (sqrt (cos im)))

prune225.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.0b

end0.0ms

sample3.3s

Algorithm
intervals
Results
1.1s1565×body1280valid
968.0ms1269×body640valid
746.0ms6912×body80valid
213.0ms661×body320valid
55.0ms319×body160valid