Details

Time bar (total: 3.7s)

sample111.0ms

Algorithm
intervals
Results
40.0ms92×body1280valid
22.0ms88×body640valid
22.0ms290×body80valid
8.0ms46×body320valid
3.0ms24×body160valid

simplify73.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (10.0ms)

IterNodesCost
0237
1607
21127
32367
45206
57026
615146
722846
850016

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity
times-frac
add-cbrt-cube
add-exp-log
pow1
associate-*r* associate-*l* associate-/r* associate-/l*
expm1-log1p-u log1p-expm1-u add-log-exp
cbrt-undiv frac-2neg div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
2 → 49
Calls
2 calls:
3.0ms
(* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))
3.0ms
(/ 0.5 (exp im))

series87.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))
18.0ms
(/ 0.5 (exp im))

simplify119.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 3 (114.0ms)

IterNodesCost
0197341
1662301
24131301
35002299

prune140.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.0b

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096
196

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.3s3010×body1280valid
654.0ms2549×body640valid
647.0ms8719×body80valid
211.0ms1198×body320valid
84.0ms640×body160valid