Details

Time bar (total: 12.6s)

sample158.0ms

Algorithm
intervals
Results
63.0ms102×body1280valid
49.0ms78×body640valid
21.0ms255×body80valid
8.0ms32×body320valid
4.0ms21×body160valid

simplify264.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
260.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (* 0.5 (cos re)) (exp im))
0.0b
(fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
7×add-cbrt-cube
5×add-exp-log
4×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
3×associate-/r* times-frac
2×expm1-log1p-u pow1 cbrt-undiv div-exp insert-posit16 log1p-expm1-u add-log-exp
1×clear-num frac-2neg prod-exp cbrt-unprod fma-udef div-inv associate-/l*
Counts
2 → 35
Calls
2 calls:
Slowest
19.0ms
(/ (* 0.5 (cos re)) (exp im))
0.0ms
(fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))

series173.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
133.0ms
(fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))
40.0ms
(/ (* 0.5 (cos re)) (exp im))

simplify3.5s

Counts
45 → 41
Calls
45 calls:
Slowest
621.0ms
(* (* (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im))) (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))) (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im))))
277.0ms
(* (* (/ (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im))) (/ (* 0.5 (cos re)) (exp im)))
197.0ms
(/ (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (exp im) (exp im)) (exp im)))
194.0ms
(- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2)))
185.0ms
(exp (fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im))))

prune375.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample8.0s

Algorithm
intervals
Results
3.6s3078×body1280valid
1.8s2459×body640valid
1.5s8512×body80valid
501.0ms1191×body320valid
187.0ms647×body160valid