math.sin on complex, real part

Time bar (total: 7.5s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 14 to 13 computations (7.1% saved)

sample1.4s (19.2%)

Memory
62.3MiB live, 1 317.9MiB allocated
Samples
858.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 637.0ms
ival-sin: 234.0ms (36.7% of total)
ival-mult: 156.0ms (24.5% of total)
ival-exp: 117.0ms (18.4% of total)
ival-add: 68.0ms (10.7% of total)
ival-sub: 43.0ms (6.7% of total)
exact: 9.0ms (1.4% of total)
ival-true: 7.0ms (1.1% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain200.0ms (2.7%)

Memory
-51.5MiB live, 140.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
00-0-(exp.f64 im)
00-0-(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
00-0-(sin.f64 re)
00-0-#s(literal 0 binary64)
00-0-im
00-0-(-.f64 #s(literal 0 binary64) im)
00-0-(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
00-0-re
00-0-#s(literal 1/2 binary64)
00-0-(exp.f64 (-.f64 #s(literal 0 binary64) im))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
91.0ms512×0valid
Compiler

Compiled 92 to 37 computations (59.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-mult: 22.0ms (47.4% of total)
ival-sin: 11.0ms (23.7% of total)
ival-exp: 7.0ms (15.1% of total)
ival-sub: 2.0ms (4.3% of total)
ival-add: 2.0ms (4.3% of total)
exact: 1.0ms (2.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess108.0ms (1.4%)

Memory
-9.1MiB live, 34.8MiB allocated
Algorithm
egg-herbie
Rules
528×times-frac
436×distribute-lft-neg-in
340×unsub-neg
330×cancel-sign-sub-inv
308×distribute-rgt-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02961
19455
235855
387755
4168555
5229655
6264455
7293755
8318555
9326155
10326355
11326355
12329555
13330055
14330055
01112
01811
13411
27611
311311
413911
516311
618211
718211
818411
918911
1018911
018911
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(*.f64 (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
Symmetry

(abs im)

(negabs re)

Compiler

Compiled 12 to 11 computations (8.3% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify9.0ms (0.1%)

Memory
8.7MiB live, 8.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
cost-diff0
(sin.f64 re)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
cost-diff64
(-.f64 #s(literal 0 binary64) im)
Rules
124×lower-*.f32
120×lower-*.f64
76×lower-fma.f64
76×lower-fma.f32
48×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01138
01834
13434
27634
311334
413934
516334
618234
718234
818434
918934
1018934
018934
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.f64 re)
re
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
(exp.f64 (-.f64 #s(literal 0 binary64) im))
(-.f64 #s(literal 0 binary64) im)
#s(literal 0 binary64)
im
(exp.f64 im)
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(*.f64 (fma.f64 (exp.f64 im) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sin.f64 re))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sin.f64 re)
re
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(exp.f64 (-.f64 #s(literal 0 binary64) im))
(exp.f64 (neg.f64 im))
(-.f64 #s(literal 0 binary64) im)
(neg.f64 im)
#s(literal 0 binary64)
im
(exp.f64 im)

localize58.0ms (0.8%)

Memory
-1.3MiB live, 36.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(exp.f64 (-.f64 #s(literal 0 binary64) im))
accuracy0
(exp.f64 im)
accuracy0.00390625
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
accuracy0.00390625
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Samples
50.0ms256×0valid
Compiler

Compiled 40 to 13 computations (67.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-sin: 6.0ms (38.4% of total)
ival-exp: 4.0ms (25.6% of total)
ival-mult: 3.0ms (19.2% of total)
ival-sub: 1.0ms (6.4% of total)
ival-add: 1.0ms (6.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
17.0MiB live, 17.0MiB allocated
Counts
7 → 96
Calls
Call 1
Inputs
#s(alt (-.f64 #s(literal 0 binary64) im) (patch (-.f64 #s(literal 0 binary64) im) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())
#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())
#s(alt (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) (patch (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())
#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ())
#s(alt (exp.f64 (-.f64 #s(literal 0 binary64) im)) (patch (exp.f64 (-.f64 #s(literal 0 binary64) im)) #<representation binary64>) () ())
Outputs
#s(alt (* 1/2 re) (taylor 0 re) (#s(alt (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/2 (* -1/12 (pow re 2)))) (taylor 0 re) (#s(alt (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))) (taylor 0 re) (#s(alt (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)))) (taylor 0 re) (#s(alt (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ())
#s(alt re (taylor 0 re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1 (* -1/6 (pow re 2)))) (taylor 0 re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))) (taylor 0 re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6)))) (taylor 0 re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* re (+ (exp im) (exp (neg im))))) (taylor 0 re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))) (taylor 0 re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im))))))))) (taylor 0 re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im)))))))))) (taylor 0 re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (sin re)) (taylor inf re) (#s(alt (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (sin re)) (taylor inf re) (#s(alt (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (sin re)) (taylor inf re) (#s(alt (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (sin re)) (taylor inf re) (#s(alt (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ())
#s(alt (sin re) (taylor inf re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ())
#s(alt (sin re) (taylor inf re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ())
#s(alt (sin re) (taylor inf re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ())
#s(alt (sin re) (taylor inf re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) (taylor inf re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) (taylor inf re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) (taylor inf re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) (taylor inf re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (sin re)) (taylor -inf re) (#s(alt (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (sin re)) (taylor -inf re) (#s(alt (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (sin re)) (taylor -inf re) (#s(alt (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (sin re)) (taylor -inf re) (#s(alt (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ())
#s(alt (sin re) (taylor -inf re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ())
#s(alt (sin re) (taylor -inf re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ())
#s(alt (sin re) (taylor -inf re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ())
#s(alt (sin re) (taylor -inf re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) (taylor -inf re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) (taylor -inf re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) (taylor -inf re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) (taylor -inf re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor 0 im) (#s(alt (-.f64 #s(literal 0 binary64) im) (patch (-.f64 #s(literal 0 binary64) im) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor 0 im) (#s(alt (-.f64 #s(literal 0 binary64) im) (patch (-.f64 #s(literal 0 binary64) im) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor 0 im) (#s(alt (-.f64 #s(literal 0 binary64) im) (patch (-.f64 #s(literal 0 binary64) im) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor 0 im) (#s(alt (-.f64 #s(literal 0 binary64) im) (patch (-.f64 #s(literal 0 binary64) im) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 im) (#s(alt (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) (patch (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (pow im 2)) (taylor 0 im) (#s(alt (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) (patch (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2))))) (taylor 0 im) (#s(alt (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) (patch (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2))))))) (taylor 0 im) (#s(alt (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) (patch (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #<representation binary64>) () ())) ())
#s(alt (sin re) (taylor 0 im) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (+ (sin re) (* 1/2 (* (pow im 2) (sin re)))) (taylor 0 im) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re))))) (taylor 0 im) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re))))))) (taylor 0 im) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ())) ())
#s(alt (+ 1 im) (taylor 0 im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* im (+ 1 (* 1/2 im)))) (taylor 0 im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im)))))) (taylor 0 im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 im) (#s(alt (exp.f64 (-.f64 #s(literal 0 binary64) im)) (patch (exp.f64 (-.f64 #s(literal 0 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 im)) (taylor 0 im) (#s(alt (exp.f64 (-.f64 #s(literal 0 binary64) im)) (patch (exp.f64 (-.f64 #s(literal 0 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* im (- (* 1/2 im) 1))) (taylor 0 im) (#s(alt (exp.f64 (-.f64 #s(literal 0 binary64) im)) (patch (exp.f64 (-.f64 #s(literal 0 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1))) (taylor 0 im) (#s(alt (exp.f64 (-.f64 #s(literal 0 binary64) im)) (patch (exp.f64 (-.f64 #s(literal 0 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor inf im) (#s(alt (-.f64 #s(literal 0 binary64) im) (patch (-.f64 #s(literal 0 binary64) im) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor inf im) (#s(alt (-.f64 #s(literal 0 binary64) im) (patch (-.f64 #s(literal 0 binary64) im) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor inf im) (#s(alt (-.f64 #s(literal 0 binary64) im) (patch (-.f64 #s(literal 0 binary64) im) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor inf im) (#s(alt (-.f64 #s(literal 0 binary64) im) (patch (-.f64 #s(literal 0 binary64) im) #<representation binary64>) () ())) ())
#s(alt (+ (exp im) (exp (neg im))) (taylor inf im) (#s(alt (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) (patch (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (exp im) (exp (neg im))) (taylor inf im) (#s(alt (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) (patch (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (exp im) (exp (neg im))) (taylor inf im) (#s(alt (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) (patch (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (exp im) (exp (neg im))) (taylor inf im) (#s(alt (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) (patch (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) (taylor inf im) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) (taylor inf im) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) (taylor inf im) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) (taylor inf im) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (exp im) (taylor inf im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ())) ())
#s(alt (exp im) (taylor inf im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ())) ())
#s(alt (exp im) (taylor inf im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ())) ())
#s(alt (exp im) (taylor inf im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ())) ())
#s(alt (exp (neg im)) (taylor inf im) (#s(alt (exp.f64 (-.f64 #s(literal 0 binary64) im)) (patch (exp.f64 (-.f64 #s(literal 0 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (exp (neg im)) (taylor inf im) (#s(alt (exp.f64 (-.f64 #s(literal 0 binary64) im)) (patch (exp.f64 (-.f64 #s(literal 0 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (exp (neg im)) (taylor inf im) (#s(alt (exp.f64 (-.f64 #s(literal 0 binary64) im)) (patch (exp.f64 (-.f64 #s(literal 0 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (exp (neg im)) (taylor inf im) (#s(alt (exp.f64 (-.f64 #s(literal 0 binary64) im)) (patch (exp.f64 (-.f64 #s(literal 0 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor -inf im) (#s(alt (-.f64 #s(literal 0 binary64) im) (patch (-.f64 #s(literal 0 binary64) im) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor -inf im) (#s(alt (-.f64 #s(literal 0 binary64) im) (patch (-.f64 #s(literal 0 binary64) im) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor -inf im) (#s(alt (-.f64 #s(literal 0 binary64) im) (patch (-.f64 #s(literal 0 binary64) im) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor -inf im) (#s(alt (-.f64 #s(literal 0 binary64) im) (patch (-.f64 #s(literal 0 binary64) im) #<representation binary64>) () ())) ())
#s(alt (+ (exp im) (exp (* -1 im))) (taylor -inf im) (#s(alt (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) (patch (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (exp im) (exp (* -1 im))) (taylor -inf im) (#s(alt (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) (patch (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (exp im) (exp (* -1 im))) (taylor -inf im) (#s(alt (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) (patch (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (exp im) (exp (* -1 im))) (taylor -inf im) (#s(alt (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) (patch (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) (taylor -inf im) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) (taylor -inf im) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) (taylor -inf im) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im))))) (taylor -inf im) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #<representation binary64>) () ())) ())
#s(alt (exp im) (taylor -inf im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ())) ())
#s(alt (exp im) (taylor -inf im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ())) ())
#s(alt (exp im) (taylor -inf im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ())) ())
#s(alt (exp im) (taylor -inf im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 im)) (taylor -inf im) (#s(alt (exp.f64 (-.f64 #s(literal 0 binary64) im)) (patch (exp.f64 (-.f64 #s(literal 0 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 im)) (taylor -inf im) (#s(alt (exp.f64 (-.f64 #s(literal 0 binary64) im)) (patch (exp.f64 (-.f64 #s(literal 0 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 im)) (taylor -inf im) (#s(alt (exp.f64 (-.f64 #s(literal 0 binary64) im)) (patch (exp.f64 (-.f64 #s(literal 0 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 im)) (taylor -inf im) (#s(alt (exp.f64 (-.f64 #s(literal 0 binary64) im)) (patch (exp.f64 (-.f64 #s(literal 0 binary64) im)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
1.0ms
im
@inf
((- 0 im) (* 1/2 (sin re)) (sin re) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (exp im) (exp (- 0 im)))
1.0ms
im
@0
((- 0 im) (* 1/2 (sin re)) (sin re) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (exp im) (exp (- 0 im)))
1.0ms
im
@-inf
((- 0 im) (* 1/2 (sin re)) (sin re) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (exp im) (exp (- 0 im)))
1.0ms
re
@inf
((- 0 im) (* 1/2 (sin re)) (sin re) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (exp im) (exp (- 0 im)))
1.0ms
re
@0
((- 0 im) (* 1/2 (sin re)) (sin re) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (exp im) (exp (- 0 im)))

simplify275.0ms (3.7%)

Memory
-17.5MiB live, 131.3MiB allocated
Algorithm
egg-herbie
Rules
18 460×lower-fma.f64
18 460×lower-fma.f32
4 918×lower-*.f64
4 918×lower-*.f32
3 014×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0130701
1419669
21291653
34306636
45262636
55828636
66463636
77750636
08037596
Stop Event
iter limit
node limit
Counts
96 → 95
Calls
Call 1
Inputs
(* 1/2 re)
(* re (+ 1/2 (* -1/12 (pow re 2))))
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
re
(* re (+ 1 (* -1/6 (pow re 2))))
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (sin re))
(sin re)
(sin re)
(sin re)
(sin re)
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (sin re))
(sin re)
(sin re)
(sin re)
(sin re)
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* -1 im)
(* -1 im)
(* -1 im)
(* -1 im)
2
(+ 2 (pow im 2))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
(sin re)
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
1
(+ 1 im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
1
(+ 1 (* -1 im))
(+ 1 (* im (- (* 1/2 im) 1)))
(+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1)))
(* -1 im)
(* -1 im)
(* -1 im)
(* -1 im)
(+ (exp im) (exp (neg im)))
(+ (exp im) (exp (neg im)))
(+ (exp im) (exp (neg im)))
(+ (exp im) (exp (neg im)))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(exp im)
(exp im)
(exp im)
(exp im)
(exp (neg im))
(exp (neg im))
(exp (neg im))
(exp (neg im))
(* -1 im)
(* -1 im)
(* -1 im)
(* -1 im)
(+ (exp im) (exp (* -1 im)))
(+ (exp im) (exp (* -1 im)))
(+ (exp im) (exp (* -1 im)))
(+ (exp im) (exp (* -1 im)))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(exp im)
(exp im)
(exp im)
(exp im)
(exp (* -1 im))
(exp (* -1 im))
(exp (* -1 im))
(exp (* -1 im))
Outputs
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* re (+ 1/2 (* -1/12 (pow re 2))))
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)
re
(* re (+ 1 (* -1/6 (pow re 2))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re)
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re)
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) re)
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)) re)
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re)
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) re)
(* 1/2 (sin re))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(* 1/2 (sin re))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(* 1/2 (sin re))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(* 1/2 (sin re))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(sin re)
(sin.f64 re)
(sin re)
(sin.f64 re)
(sin re)
(sin.f64 re)
(sin re)
(sin.f64 re)
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (sin re))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(* 1/2 (sin re))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(* 1/2 (sin re))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(* 1/2 (sin re))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(sin re)
(sin.f64 re)
(sin re)
(sin.f64 re)
(sin re)
(sin.f64 re)
(sin re)
(sin.f64 re)
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* -1 im)
(neg.f64 im)
(* -1 im)
(neg.f64 im)
(* -1 im)
(neg.f64 im)
(* -1 im)
(neg.f64 im)
2
#s(literal 2 binary64)
(+ 2 (pow im 2))
(fma.f64 im im #s(literal 2 binary64))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
(fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64)))
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
(fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64))))
(sin re)
(sin.f64 re)
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(*.f64 (fma.f64 (*.f64 im #s(literal 1/2 binary64)) im #s(literal 1 binary64)) (sin.f64 re))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(*.f64 (sin.f64 re) (fma.f64 (*.f64 im #s(literal 1/2 binary64)) im (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64) #s(literal 1 binary64))))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
(*.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 im #s(literal 1/2 binary64)) im #s(literal 1 binary64))))
1
#s(literal 1 binary64)
(+ 1 im)
(-.f64 im #s(literal -1 binary64))
(+ 1 (* im (+ 1 (* 1/2 im))))
(fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(fma.f64 (fma.f64 (fma.f64 im #s(literal 1/6 binary64) #s(literal 1/2 binary64)) im #s(literal 1 binary64)) im #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 im))
(-.f64 #s(literal 1 binary64) im)
(+ 1 (* im (- (* 1/2 im) 1)))
(fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64))
(+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1)))
(fma.f64 (fma.f64 (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) im #s(literal -1 binary64)) im #s(literal 1 binary64))
(* -1 im)
(neg.f64 im)
(* -1 im)
(neg.f64 im)
(* -1 im)
(neg.f64 im)
(* -1 im)
(neg.f64 im)
(+ (exp im) (exp (neg im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(+ (exp im) (exp (neg im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(+ (exp im) (exp (neg im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(+ (exp im) (exp (neg im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(exp im)
(exp.f64 im)
(exp im)
(exp.f64 im)
(exp im)
(exp.f64 im)
(exp im)
(exp.f64 im)
(exp (neg im))
(exp.f64 (neg.f64 im))
(exp (neg im))
(exp.f64 (neg.f64 im))
(exp (neg im))
(exp.f64 (neg.f64 im))
(exp (neg im))
(exp.f64 (neg.f64 im))
(* -1 im)
(neg.f64 im)
(* -1 im)
(neg.f64 im)
(* -1 im)
(neg.f64 im)
(* -1 im)
(neg.f64 im)
(+ (exp im) (exp (* -1 im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(+ (exp im) (exp (* -1 im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(+ (exp im) (exp (* -1 im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(+ (exp im) (exp (* -1 im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(exp im)
(exp.f64 im)
(exp im)
(exp.f64 im)
(exp im)
(exp.f64 im)
(exp im)
(exp.f64 im)
(exp (* -1 im))
(exp.f64 (neg.f64 im))
(exp (* -1 im))
(exp.f64 (neg.f64 im))
(exp (* -1 im))
(exp.f64 (neg.f64 im))
(exp (* -1 im))
(exp.f64 (neg.f64 im))

rewrite163.0ms (2.2%)

Memory
14.1MiB live, 142.3MiB allocated
Rules
2 156×lower-fma.f64
2 156×lower-fma.f32
1 880×lower-*.f32
1 876×lower-*.f64
1 538×lower-/.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01134
01830
15926
239724
0441624
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
7 → 221
Calls
Call 1
Inputs
(-.f64 #s(literal 0 binary64) im)
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(sin.f64 re)
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(exp.f64 im)
(exp.f64 (-.f64 #s(literal 0 binary64) im))
Outputs
(*.f64 (/.f64 (*.f64 im im) (*.f64 im im)) (neg.f64 im))
(*.f64 (/.f64 (pow.f64 im #s(literal 3 binary64)) (neg.f64 (pow.f64 im #s(literal 6 binary64)))) (pow.f64 im #s(literal 4 binary64)))
(*.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (neg.f64 (pow.f64 im #s(literal 4 binary64)))) (*.f64 (neg.f64 im) im))
(*.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (pow.f64 im #s(literal 4 binary64))) (*.f64 im im))
(*.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64))) (pow.f64 im #s(literal 4 binary64)))
(*.f64 (/.f64 (pow.f64 im #s(literal 3 binary64)) (neg.f64 (pow.f64 im #s(literal 4 binary64)))) (*.f64 im im))
(*.f64 (/.f64 (*.f64 im im) (*.f64 (neg.f64 im) im)) im)
(*.f64 (/.f64 (*.f64 (neg.f64 im) im) (*.f64 (neg.f64 im) im)) (neg.f64 im))
(*.f64 (/.f64 (*.f64 im im) (pow.f64 im #s(literal 3 binary64))) (*.f64 (neg.f64 im) im))
(*.f64 (/.f64 (*.f64 im im) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 im)))
(*.f64 (pow.f64 im #s(literal -1 binary64)) (*.f64 (neg.f64 im) im))
(*.f64 (pow.f64 im #s(literal -2 binary64)) (pow.f64 (neg.f64 im) #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 im)) (*.f64 im im))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 im) im)))
(*.f64 #s(literal -1 binary64) im)
(*.f64 (*.f64 (neg.f64 im) im) (pow.f64 im #s(literal -1 binary64)))
(*.f64 (*.f64 im im) (/.f64 #s(literal 1 binary64) (neg.f64 im)))
(*.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (pow.f64 im #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (neg.f64 im))
(*.f64 im #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 im)) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 im im) #s(literal -1 binary64)) im)
(/.f64 (/.f64 (*.f64 im im) (*.f64 (neg.f64 im) im)) (pow.f64 im #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal -1 binary64))) (*.f64 im im))
(/.f64 (*.f64 (neg.f64 (pow.f64 im #s(literal 6 binary64))) (pow.f64 im #s(literal -1 binary64))) (pow.f64 im #s(literal 4 binary64)))
(/.f64 (*.f64 (neg.f64 (pow.f64 im #s(literal 6 binary64))) (pow.f64 im #s(literal -2 binary64))) (pow.f64 im #s(literal 3 binary64)))
(/.f64 (*.f64 (neg.f64 (pow.f64 im #s(literal 9 binary64))) (pow.f64 im #s(literal -2 binary64))) (pow.f64 im #s(literal 6 binary64)))
(/.f64 (*.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 im im))
(/.f64 (*.f64 (neg.f64 (pow.f64 im #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 im #s(literal 3 binary64)))
(/.f64 (*.f64 (neg.f64 (pow.f64 im #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) im))
(/.f64 (*.f64 (neg.f64 (pow.f64 im #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 im im)))
(/.f64 (*.f64 (neg.f64 (pow.f64 im #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 im #s(literal 6 binary64)) (*.f64 im im)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 im im) (pow.f64 im #s(literal 3 binary64)))) (pow.f64 im #s(literal 4 binary64)))
(/.f64 (*.f64 (*.f64 (neg.f64 im) im) #s(literal 1 binary64)) im)
(/.f64 (neg.f64 (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 3 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 im)) (pow.f64 im #s(literal -2 binary64)))
(/.f64 (neg.f64 (pow.f64 im #s(literal 9 binary64))) (*.f64 (*.f64 im im) (pow.f64 im #s(literal 6 binary64))))
(/.f64 (neg.f64 (pow.f64 im #s(literal 6 binary64))) (*.f64 im (pow.f64 im #s(literal 4 binary64))))
(/.f64 (neg.f64 (pow.f64 im #s(literal 6 binary64))) (*.f64 (*.f64 im im) (pow.f64 im #s(literal 3 binary64))))
(/.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (neg.f64 im) im))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 im))))
(/.f64 (*.f64 (neg.f64 im) im) im)
(/.f64 (*.f64 im im) (neg.f64 im))
(/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (*.f64 im im))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 im)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 im)))
(neg.f64 im)
(fma.f64 (/.f64 (*.f64 im im) (*.f64 im im)) (neg.f64 im) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 im #s(literal 3 binary64)) (neg.f64 (pow.f64 im #s(literal 6 binary64)))) (pow.f64 im #s(literal 4 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (neg.f64 (pow.f64 im #s(literal 4 binary64)))) (*.f64 (neg.f64 im) im) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (pow.f64 im #s(literal 4 binary64))) (*.f64 im im) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64))) (pow.f64 im #s(literal 4 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 im #s(literal 3 binary64)) (neg.f64 (pow.f64 im #s(literal 4 binary64)))) (*.f64 im im) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 im im) (*.f64 (neg.f64 im) im)) im #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 (neg.f64 im) im) (*.f64 (neg.f64 im) im)) (neg.f64 im) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 im im) (pow.f64 im #s(literal 3 binary64))) (*.f64 (neg.f64 im) im) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 im im) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 im)) #s(literal 0 binary64))
(fma.f64 (pow.f64 im #s(literal -1 binary64)) (*.f64 (neg.f64 im) im) #s(literal 0 binary64))
(fma.f64 (pow.f64 im #s(literal -2 binary64)) (pow.f64 (neg.f64 im) #s(literal 3 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 im)) (*.f64 im im) #s(literal 0 binary64))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 im) im)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) im #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 im) im) (pow.f64 im #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 im im) (/.f64 #s(literal 1 binary64) (neg.f64 im)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (pow.f64 im #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 im) #s(literal 0 binary64))
(fma.f64 im #s(literal -1 binary64) #s(literal 0 binary64))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (exp.f64 im))))
(-.f64 (neg.f64 im) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) im)
(+.f64 (neg.f64 im) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (neg.f64 im))
(log.f64 (exp.f64 (neg.f64 im)))
(*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 re)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(sin.f64 re)
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (-.f64 (pow.f64 (exp.f64 im) #s(literal -3 binary64)) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))) (fma.f64 (exp.f64 im) (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) (-.f64 (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 4 binary64)) (pow.f64 (expm1.f64 (*.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (expm1.f64 (*.f64 im #s(literal 2 binary64)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) (+.f64 (pow.f64 (expm1.f64 (*.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 6 binary64)))) (fma.f64 (expm1.f64 (*.f64 im #s(literal 2 binary64))) (-.f64 (expm1.f64 (*.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (pow.f64 (exp.f64 (neg.f64 im)) #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
(*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 im))))
(*.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -1 binary64)) (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))))
(*.f64 (pow.f64 (+.f64 (expm1.f64 (*.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (expm1.f64 (*.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))))
(*.f64 (cosh.f64 im) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cosh.f64 im))
(*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (pow.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -1 binary64)))
(*.f64 (+.f64 (expm1.f64 (*.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (/.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (+.f64 (expm1.f64 (*.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
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(*.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) (*.f64 (pow.f64 (+.f64 (expm1.f64 (*.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(literal -1 binary64)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 im) #s(literal 2 binary64)))
(*.f64 (sin.f64 re) (*.f64 #s(literal 1 binary64) (cosh.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 re) #s(literal 2 binary64)) (cosh.f64 im)))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (neg.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64)))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (neg.f64 (+.f64 (expm1.f64 (*.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(/.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))
(/.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (neg.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))))) (neg.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(/.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (neg.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))))) (neg.f64 (+.f64 (expm1.f64 (*.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))) (neg.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))) (neg.f64 (+.f64 (expm1.f64 (*.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))) (neg.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (exp.f64 im) (sin.f64 re)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) (-.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re))) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (+.f64 (expm1.f64 (*.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal -2 binary64))))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (exp.f64 im) (sin.f64 re)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)) (*.f64 (exp.f64 im) #s(literal 1/2 binary64))) (sin.f64 re)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (exp.f64 im) (sin.f64 re)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) (-.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re))) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (-.f64 (pow.f64 (exp.f64 im) #s(literal -2 binary64)) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (expm1.f64 (*.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) (*.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 im) #s(literal -3 binary64))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) (-.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re))) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (*.f64 (exp.f64 im) (sin.f64 re)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)) #s(literal 3 binary64)))))
(/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) #s(literal 2 binary64))))
(fma.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)))
(fma.f64 (*.f64 (exp.f64 im) (sin.f64 re)) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)))
(fma.f64 (/.f64 (sin.f64 re) (exp.f64 im)) #s(literal 1/2 binary64) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)))
(fma.f64 (exp.f64 im) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)))
(fma.f64 (exp.f64 (neg.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)))
(fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)))
(fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)))
(fma.f64 (sin.f64 re) (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)))
(fma.f64 (sin.f64 re) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 im) (sin.f64 re)) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (exp.f64 im)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (/.f64 (pow.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(+.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)))
(*.f64 #s(literal 1 binary64) (exp.f64 im))
(*.f64 (exp.f64 im) #s(literal 1 binary64))
(/.f64 (neg.f64 (exp.f64 im)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))
(/.f64 (exp.f64 im) #s(literal 1 binary64))
(exp.f64 im)
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 im)))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))
(*.f64 (exp.f64 (neg.f64 im)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) im)
(pow.f64 (exp.f64 (*.f64 (neg.f64 im) im)) (pow.f64 im #s(literal -1 binary64)))
(pow.f64 (exp.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64))) (pow.f64 im #s(literal -2 binary64)))
(pow.f64 (exp.f64 im) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 im)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 im))))
(/.f64 #s(literal 1 binary64) (exp.f64 im))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 im)))
(exp.f64 (neg.f64 im))

eval55.0ms (0.7%)

Memory
3.7MiB live, 75.9MiB allocated
Compiler

Compiled 6 109 to 905 computations (85.2% saved)

prune41.0ms (0.6%)

Memory
-14.2MiB live, 23.1MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New3124316
Fresh000
Picked101
Done000
Total3134317
Accuracy
100.0%
Counts
317 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)))
100.0%
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re))
74.9%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
53.8%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re))
Compiler

Compiled 35 to 31 computations (11.4% saved)

simplify12.0ms (0.2%)

Memory
19.1MiB live, 19.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f64 (neg.f64 im))
cost-diff0
(sin.f64 re)
cost-diff0
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
cost-diff13952
(fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)))
cost-diff0
(sin.f64 re)
cost-diff0
(cosh.f64 im)
cost-diff0
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re))
cost-diff320
(*.f64 #s(literal 1 binary64) (cosh.f64 im))
cost-diff0
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
cost-diff0
(sin.f64 re)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
cost-diff0
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
cost-diff0
(sin.f64 re)
cost-diff0
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re))
Rules
170×lower-*.f32
156×lower-*.f64
80×lower-fma.f32
76×lower-fma.f64
72×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
029121
045104
185104
214698
318898
423798
526898
629098
733498
834498
934498
034498
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re))
(sin.f64 re)
re
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.f64 re)
re
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
im
#s(literal 2 binary64)
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re))
(*.f64 #s(literal 1 binary64) (cosh.f64 im))
#s(literal 1 binary64)
(cosh.f64 im)
im
(sin.f64 re)
re
(fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(sin.f64 re)
re
#s(literal 1/2 binary64)
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re))
(*.f64 (exp.f64 im) #s(literal 1/2 binary64))
(exp.f64 im)
Outputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re))
(sin.f64 re)
re
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sin.f64 re)
re
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
im
#s(literal 2 binary64)
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re))
(*.f64 (cosh.f64 im) (sin.f64 re))
(*.f64 #s(literal 1 binary64) (cosh.f64 im))
(cosh.f64 im)
#s(literal 1 binary64)
(cosh.f64 im)
im
(sin.f64 re)
re
(fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)))
(*.f64 (cosh.f64 im) (sin.f64 re))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(sin.f64 re)
re
#s(literal 1/2 binary64)
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re))
(*.f64 (exp.f64 im) #s(literal 1/2 binary64))
(exp.f64 im)

localize92.0ms (1.2%)

Memory
-29.3MiB live, 94.3MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f64 im)
accuracy0
(exp.f64 (neg.f64 im))
accuracy0
(exp.f64 im)
accuracy0.01171875
(*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re))
accuracy0
(*.f64 #s(literal 1 binary64) (cosh.f64 im))
accuracy0
(sin.f64 re)
accuracy0
(cosh.f64 im)
accuracy0.00390625
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re))
accuracy0
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
accuracy0
(sin.f64 re)
accuracy0.00390625
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
accuracy15.82972953559716
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
accuracy0
(sin.f64 re)
accuracy29.58597720502066
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re))
Samples
47.0ms256×0valid
Compiler

Compiled 112 to 27 computations (75.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-mult: 13.0ms (40.6% of total)
ival-sin: 6.0ms (18.7% of total)
ival-exp: 5.0ms (15.6% of total)
ival-add: 3.0ms (9.4% of total)
ival-cosh: 2.0ms (6.2% of total)
ival-sub: 1.0ms (3.1% of total)
exact: 1.0ms (3.1% of total)
ival-neg: 1.0ms (3.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series19.0ms (0.3%)

Memory
34.9MiB live, 34.9MiB allocated
Counts
14 → 228
Calls
Call 1
Inputs
#s(alt #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re)) (patch #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re)) #<representation binary64>) () ())
#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())
#s(alt #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) (patch #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (patch (*.f64 #s(literal 1 binary64) (cosh.f64 im)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) (patch (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) #<representation binary64>) () ())
#s(alt (cosh.f64 im) (patch (cosh.f64 im) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re))) (patch (fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re))) #<representation binary64>) () ())
#s(alt (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (patch (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (exp.f64 (neg.f64 im)) (patch (exp.f64 (neg.f64 im)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) (patch (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) #<representation binary64>) () ())
#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ())
#s(alt (neg.f64 im) (patch (neg.f64 im) #<representation binary64>) () ())
Outputs
#s(alt (* 1/2 (* re (+ (exp im) (exp (neg im))))) (taylor 0 re) (#s(alt #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re)) (patch #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))) (taylor 0 re) (#s(alt #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re)) (patch #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im))))))))) (taylor 0 re) (#s(alt #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re)) (patch #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im)))))))))) (taylor 0 re) (#s(alt #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re)) (patch #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re)) #<representation binary64>) () ())) ())
#s(alt re (taylor 0 re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1 (* -1/6 (pow re 2)))) (taylor 0 re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))) (taylor 0 re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6)))) (taylor 0 re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* re (+ (exp im) (exp (neg im))))) (taylor 0 re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))) (taylor 0 re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im))))))))) (taylor 0 re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im)))))))))) (taylor 0 re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 re) (taylor 0 re) (#s(alt (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/2 (* -1/12 (pow re 2)))) (taylor 0 re) (#s(alt (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))) (taylor 0 re) (#s(alt (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)))) (taylor 0 re) (#s(alt (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* re (+ (exp im) (/ 1 (exp im))))) (taylor 0 re) (#s(alt (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) (patch (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))) (taylor 0 re) (#s(alt (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) (patch (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))))) (taylor 0 re) (#s(alt (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) (patch (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im)))))))))) (taylor 0 re) (#s(alt (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) (patch (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* 1/2 (exp im)) (* 1/2 (exp (neg im))))) (taylor 0 re) (#s(alt (fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re))) (patch (fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re))) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/12 (exp im)) (* -1/12 (exp (neg im)))))))) (taylor 0 re) (#s(alt (fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re))) (patch (fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re))) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/12 (exp im)) (+ (* -1/12 (exp (neg im))) (* (pow re 2) (+ (* 1/240 (exp im)) (* 1/240 (exp (neg im))))))))))) (taylor 0 re) (#s(alt (fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re))) (patch (fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re))) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/12 (exp im)) (+ (* -1/12 (exp (neg im))) (* (pow re 2) (+ (* 1/240 (exp im)) (+ (* 1/240 (exp (neg im))) (* (pow re 2) (+ (* -1/10080 (exp im)) (* -1/10080 (exp (neg im)))))))))))))) (taylor 0 re) (#s(alt (fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re))) (patch (fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 re) (taylor 0 re) (#s(alt (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (patch (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/2 (* -1/12 (pow re 2)))) (taylor 0 re) (#s(alt (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (patch (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))) (taylor 0 re) (#s(alt (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (patch (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12)))) (taylor 0 re) (#s(alt (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (patch (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* re (exp im))) (taylor 0 re) (#s(alt (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) (patch (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* -1/12 (* (pow re 2) (exp im))) (* 1/2 (exp im)))) (taylor 0 re) (#s(alt (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) (patch (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* 1/2 (exp im)) (* (pow re 2) (+ (* -1/12 (exp im)) (* 1/240 (* (pow re 2) (exp im))))))) (taylor 0 re) (#s(alt (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) (patch (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* 1/2 (exp im)) (* (pow re 2) (+ (* -1/12 (exp im)) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (exp im))) (* 1/240 (exp im)))))))) (taylor 0 re) (#s(alt (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) (patch (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) (taylor inf re) (#s(alt #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re)) (patch #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) (taylor inf re) (#s(alt #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re)) (patch #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) (taylor inf re) (#s(alt #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re)) (patch #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) (taylor inf re) (#s(alt #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re)) (patch #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re)) #<representation binary64>) () ())) ())
#s(alt (sin re) (taylor inf re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ())
#s(alt (sin re) (taylor inf re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ())
#s(alt (sin re) (taylor inf re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ())
#s(alt (sin re) (taylor inf re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) (taylor inf re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) (taylor inf re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) (taylor inf re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (+ (exp im) (exp (neg im))))) (taylor inf re) (#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (sin re)) (taylor inf re) (#s(alt (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (sin re)) (taylor inf re) (#s(alt (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (sin re)) (taylor inf re) (#s(alt (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (sin re)) (taylor inf re) (#s(alt (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (patch (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) (taylor inf re) (#s(alt (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) (patch (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) (taylor inf re) (#s(alt (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) (patch (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) (taylor inf re) (#s(alt (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) (patch (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) (taylor inf re) (#s(alt (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) (patch (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re)))) (taylor inf re) (#s(alt (fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re))) (patch (fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re)))) (taylor inf re) (#s(alt (fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re))) (patch (fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re))) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im))))) (taylor -inf im) (#s(alt (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) (patch (*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp im) (/ 1 (exp im)))) (taylor -inf im) (#s(alt (cosh.f64 im) (patch (cosh.f64 im) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp im) (/ 1 (exp im)))) (taylor -inf im) (#s(alt (cosh.f64 im) (patch (cosh.f64 im) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp im) (/ 1 (exp im)))) (taylor -inf im) (#s(alt (cosh.f64 im) (patch (cosh.f64 im) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (+ (exp im) (/ 1 (exp im)))) (taylor -inf im) (#s(alt (cosh.f64 im) (patch (cosh.f64 im) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (* -1 im)) (sin re)))) (taylor -inf im) (#s(alt (fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re))) (patch (fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (* -1 im)) (sin re)))) (taylor -inf im) (#s(alt (fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re))) (patch (fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (* -1 im)) (sin re)))) (taylor -inf im) (#s(alt (fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re))) (patch (fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (* -1 im)) (sin re)))) (taylor -inf im) (#s(alt (fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re))) (patch (fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re))) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 im)) (taylor -inf im) (#s(alt (exp.f64 (neg.f64 im)) (patch (exp.f64 (neg.f64 im)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 im)) (taylor -inf im) (#s(alt (exp.f64 (neg.f64 im)) (patch (exp.f64 (neg.f64 im)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 im)) (taylor -inf im) (#s(alt (exp.f64 (neg.f64 im)) (patch (exp.f64 (neg.f64 im)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 im)) (taylor -inf im) (#s(alt (exp.f64 (neg.f64 im)) (patch (exp.f64 (neg.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (exp im) (sin re))) (taylor -inf im) (#s(alt (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) (patch (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (exp im) (sin re))) (taylor -inf im) (#s(alt (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) (patch (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (exp im) (sin re))) (taylor -inf im) (#s(alt (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) (patch (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (exp im) (sin re))) (taylor -inf im) (#s(alt (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) (patch (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) #<representation binary64>) () ())) ())
#s(alt (exp im) (taylor -inf im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ())) ())
#s(alt (exp im) (taylor -inf im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ())) ())
#s(alt (exp im) (taylor -inf im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ())) ())
#s(alt (exp im) (taylor -inf im) (#s(alt (exp.f64 im) (patch (exp.f64 im) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor -inf im) (#s(alt (neg.f64 im) (patch (neg.f64 im) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor -inf im) (#s(alt (neg.f64 im) (patch (neg.f64 im) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor -inf im) (#s(alt (neg.f64 im) (patch (neg.f64 im) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor -inf im) (#s(alt (neg.f64 im) (patch (neg.f64 im) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
3.0ms
im
@-inf
((* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im)) (* 1 (cosh im)) (* (* 1 (cosh im)) (sin re)) (cosh im) (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (* (sin re) 1/2) (exp (neg im)) (* (* (exp im) 1/2) (sin re)) (exp im) (neg im))
3.0ms
im
@inf
((* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im)) (* 1 (cosh im)) (* (* 1 (cosh im)) (sin re)) (cosh im) (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (* (sin re) 1/2) (exp (neg im)) (* (* (exp im) 1/2) (sin re)) (exp im) (neg im))
3.0ms
re
@0
((* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im)) (* 1 (cosh im)) (* (* 1 (cosh im)) (sin re)) (cosh im) (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (* (sin re) 1/2) (exp (neg im)) (* (* (exp im) 1/2) (sin re)) (exp im) (neg im))
2.0ms
re
@inf
((* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im)) (* 1 (cosh im)) (* (* 1 (cosh im)) (sin re)) (cosh im) (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (* (sin re) 1/2) (exp (neg im)) (* (* (exp im) 1/2) (sin re)) (exp im) (neg im))
2.0ms
re
@-inf
((* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin re) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im)) (* 1 (cosh im)) (* (* 1 (cosh im)) (sin re)) (cosh im) (+ (* (* (sin re) 1/2) (exp (neg im))) (* (* (exp im) 1/2) (sin re))) (* (sin re) 1/2) (exp (neg im)) (* (* (exp im) 1/2) (sin re)) (exp im) (neg im))

simplify254.0ms (3.4%)

Memory
-5.0MiB live, 235.3MiB allocated
Algorithm
egg-herbie
Rules
15 280×lower-fma.f64
15 280×lower-fma.f32
4 412×lower-*.f64
4 412×lower-*.f32
3 660×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02602267
18682130
224332095
345462053
449882053
552492053
656322053
767982053
081091951
Stop Event
iter limit
node limit
Counts
228 → 227
Calls
Call 1
Inputs
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))
re
(* re (+ 1 (* -1/6 (pow re 2))))
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))
(* 1/2 re)
(* re (+ 1/2 (* -1/12 (pow re 2))))
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
(* 1/2 (* re (+ (exp im) (/ 1 (exp im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im))))))))))
(* re (+ (* 1/2 (exp im)) (* 1/2 (exp (neg im)))))
(* re (+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/12 (exp im)) (* -1/12 (exp (neg im))))))))
(* re (+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/12 (exp im)) (+ (* -1/12 (exp (neg im))) (* (pow re 2) (+ (* 1/240 (exp im)) (* 1/240 (exp (neg im)))))))))))
(* re (+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/12 (exp im)) (+ (* -1/12 (exp (neg im))) (* (pow re 2) (+ (* 1/240 (exp im)) (+ (* 1/240 (exp (neg im))) (* (pow re 2) (+ (* -1/10080 (exp im)) (* -1/10080 (exp (neg im))))))))))))))
(* 1/2 re)
(* re (+ 1/2 (* -1/12 (pow re 2))))
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
(* 1/2 (* re (exp im)))
(* re (+ (* -1/12 (* (pow re 2) (exp im))) (* 1/2 (exp im))))
(* re (+ (* 1/2 (exp im)) (* (pow re 2) (+ (* -1/12 (exp im)) (* 1/240 (* (pow re 2) (exp im)))))))
(* re (+ (* 1/2 (exp im)) (* (pow re 2) (+ (* -1/12 (exp im)) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (exp im))) (* 1/240 (exp im))))))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(sin re)
(sin re)
(sin re)
(sin re)
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re))))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re))))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re))))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re))))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (* (exp im) (sin re)))
(* 1/2 (* (exp im) (sin re)))
(* 1/2 (* (exp im) (sin re)))
(* 1/2 (* (exp im) (sin re)))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(sin re)
(sin re)
(sin re)
(sin re)
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re))))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re))))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re))))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re))))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (* (exp im) (sin re)))
(* 1/2 (* (exp im) (sin re)))
(* 1/2 (* (exp im) (sin re)))
(* 1/2 (* (exp im) (sin re)))
(sin re)
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
(sin re)
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
2
(+ 2 (pow im 2))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
1
(+ 1 (* 1/2 (pow im 2)))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
(sin re)
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
1
(+ 1 (* 1/2 (pow im 2)))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
(sin re)
(+ (sin re) (* im (+ (* -1/2 (sin re)) (* 1/2 (sin re)))))
(+ (sin re) (* im (+ (* -1/2 (sin re)) (+ (* 1/2 (sin re)) (* 1/2 (* im (sin re)))))))
(+ (sin re) (* im (+ (* -1/2 (sin re)) (+ (* 1/2 (sin re)) (* im (+ (* 1/2 (sin re)) (* im (+ (* -1/12 (sin re)) (* 1/12 (sin re))))))))))
1
(+ 1 (* -1 im))
(+ 1 (* im (- (* 1/2 im) 1)))
(+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1)))
(* 1/2 (sin re))
(+ (* 1/2 (sin re)) (* 1/2 (* im (sin re))))
(+ (* 1/2 (sin re)) (* im (+ (* 1/4 (* im (sin re))) (* 1/2 (sin re)))))
(+ (* 1/2 (sin re)) (* im (+ (* 1/2 (sin re)) (* im (+ (* 1/12 (* im (sin re))) (* 1/4 (sin re)))))))
1
(+ 1 im)
(+ 1 (* im (+ 1 (* 1/2 im))))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(* -1 im)
(* -1 im)
(* -1 im)
(* -1 im)
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(+ (exp im) (exp (neg im)))
(+ (exp im) (exp (neg im)))
(+ (exp im) (exp (neg im)))
(+ (exp im) (exp (neg im)))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re))))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re))))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re))))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re))))
(exp (neg im))
(exp (neg im))
(exp (neg im))
(exp (neg im))
(* 1/2 (* (exp im) (sin re)))
(* 1/2 (* (exp im) (sin re)))
(* 1/2 (* (exp im) (sin re)))
(* 1/2 (* (exp im) (sin re)))
(exp im)
(exp im)
(exp im)
(exp im)
(* -1 im)
(* -1 im)
(* -1 im)
(* -1 im)
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(+ (exp im) (exp (* -1 im)))
(+ (exp im) (exp (* -1 im)))
(+ (exp im) (exp (* -1 im)))
(+ (exp im) (exp (* -1 im)))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (* -1 im)) (sin re))))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (* -1 im)) (sin re))))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (* -1 im)) (sin re))))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (* -1 im)) (sin re))))
(exp (* -1 im))
(exp (* -1 im))
(exp (* -1 im))
(exp (* -1 im))
(* 1/2 (* (exp im) (sin re)))
(* 1/2 (* (exp im) (sin re)))
(* 1/2 (* (exp im) (sin re)))
(* 1/2 (* (exp im) (sin re)))
(exp im)
(exp im)
(exp im)
(exp im)
(* -1 im)
(* -1 im)
(* -1 im)
(* -1 im)
Outputs
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(*.f64 (*.f64 re #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) re)
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) re)
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))
(*.f64 (fma.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64))) (*.f64 re re) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))) re)
re
(* re (+ 1 (* -1/6 (pow re 2))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re)
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re)
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) re)
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(*.f64 (*.f64 re #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) re)
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) re)
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))
(*.f64 (fma.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64))) (*.f64 re re) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))) re)
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* re (+ 1/2 (* -1/12 (pow re 2))))
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)
(* 1/2 (* re (+ (exp im) (/ 1 (exp im)))))
(*.f64 (*.f64 re #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))))
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) re)
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) re)
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im))))))))))
(*.f64 (fma.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64))) (*.f64 re re) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))) re)
(* re (+ (* 1/2 (exp im)) (* 1/2 (exp (neg im)))))
(*.f64 (*.f64 re #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* re (+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/12 (exp im)) (* -1/12 (exp (neg im))))))))
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) re)
(* re (+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/12 (exp im)) (+ (* -1/12 (exp (neg im))) (* (pow re 2) (+ (* 1/240 (exp im)) (* 1/240 (exp (neg im)))))))))))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) re)
(* re (+ (* 1/2 (exp im)) (+ (* 1/2 (exp (neg im))) (* (pow re 2) (+ (* -1/12 (exp im)) (+ (* -1/12 (exp (neg im))) (* (pow re 2) (+ (* 1/240 (exp im)) (+ (* 1/240 (exp (neg im))) (* (pow re 2) (+ (* -1/10080 (exp im)) (* -1/10080 (exp (neg im))))))))))))))
(*.f64 (fma.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64))) (*.f64 re re) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))) re)
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* re (+ 1/2 (* -1/12 (pow re 2))))
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)
(* 1/2 (* re (exp im)))
(*.f64 (*.f64 (exp.f64 im) re) #s(literal 1/2 binary64))
(* re (+ (* -1/12 (* (pow re 2) (exp im))) (* 1/2 (exp im))))
(*.f64 (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) (exp.f64 im)) re)
(* re (+ (* 1/2 (exp im)) (* (pow re 2) (+ (* -1/12 (exp im)) (* 1/240 (* (pow re 2) (exp im)))))))
(*.f64 (*.f64 (exp.f64 im) (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) re)
(* re (+ (* 1/2 (exp im)) (* (pow re 2) (+ (* -1/12 (exp im)) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (exp im))) (* 1/240 (exp im))))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (*.f64 (exp.f64 im) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64))) (*.f64 (*.f64 (exp.f64 im) re) #s(literal 1/2 binary64)))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(sin re)
(sin.f64 re)
(sin re)
(sin.f64 re)
(sin re)
(sin.f64 re)
(sin re)
(sin.f64 re)
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (sin re))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(* 1/2 (sin re))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(* 1/2 (sin re))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(* 1/2 (sin re))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (sin re))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(* 1/2 (sin re))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(* 1/2 (sin re))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(* 1/2 (sin re))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(* 1/2 (* (exp im) (sin re)))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))
(* 1/2 (* (exp im) (sin re)))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))
(* 1/2 (* (exp im) (sin re)))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))
(* 1/2 (* (exp im) (sin re)))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(sin re)
(sin.f64 re)
(sin re)
(sin.f64 re)
(sin re)
(sin.f64 re)
(sin re)
(sin.f64 re)
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (sin re))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(* 1/2 (sin re))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(* 1/2 (sin re))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(* 1/2 (sin re))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (sin re))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(* 1/2 (sin re))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(* 1/2 (sin re))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(* 1/2 (sin re))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(* 1/2 (* (exp im) (sin re)))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))
(* 1/2 (* (exp im) (sin re)))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))
(* 1/2 (* (exp im) (sin re)))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))
(* 1/2 (* (exp im) (sin re)))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))
(sin re)
(sin.f64 re)
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sin.f64 re))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(*.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
(fma.f64 (*.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im) (sin.f64 re))
(sin re)
(sin.f64 re)
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sin.f64 re))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(*.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
(fma.f64 (*.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im) (sin.f64 re))
2
#s(literal 2 binary64)
(+ 2 (pow im 2))
(fma.f64 im im #s(literal 2 binary64))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
(fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 im im #s(literal 2 binary64)))
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
(fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow im 2)))
(fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(sin re)
(sin.f64 re)
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sin.f64 re))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(*.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
(fma.f64 (*.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im) (sin.f64 re))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow im 2)))
(fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(sin re)
(sin.f64 re)
(+ (sin re) (* im (+ (* -1/2 (sin re)) (* 1/2 (sin re)))))
(sin.f64 re)
(+ (sin re) (* im (+ (* -1/2 (sin re)) (+ (* 1/2 (sin re)) (* 1/2 (* im (sin re)))))))
(*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sin.f64 re))
(+ (sin re) (* im (+ (* -1/2 (sin re)) (+ (* 1/2 (sin re)) (* im (+ (* 1/2 (sin re)) (* im (+ (* -1/12 (sin re)) (* 1/12 (sin re))))))))))
(*.f64 (fma.f64 (*.f64 im im) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sin.f64 re))
1
#s(literal 1 binary64)
(+ 1 (* -1 im))
(-.f64 #s(literal 1 binary64) im)
(+ 1 (* im (- (* 1/2 im) 1)))
(fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) im #s(literal 1 binary64))
(+ 1 (* im (- (* im (+ 1/2 (* -1/6 im))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal -1 binary64)) im #s(literal 1 binary64))
(* 1/2 (sin re))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(+ (* 1/2 (sin re)) (* 1/2 (* im (sin re))))
(*.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 re))
(+ (* 1/2 (sin re)) (* im (+ (* 1/4 (* im (sin re))) (* 1/2 (sin re)))))
(*.f64 (sin.f64 re) (fma.f64 im (fma.f64 #s(literal 1/4 binary64) im #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(+ (* 1/2 (sin re)) (* im (+ (* 1/2 (sin re)) (* im (+ (* 1/12 (* im (sin re))) (* 1/4 (sin re)))))))
(fma.f64 (*.f64 (sin.f64 re) (fma.f64 im (fma.f64 #s(literal 1/12 binary64) im #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) im (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(+ 1 im)
(-.f64 im #s(literal -1 binary64))
(+ 1 (* im (+ 1 (* 1/2 im))))
(fma.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) im #s(literal 1 binary64))
(+ 1 (* im (+ 1 (* im (+ 1/2 (* 1/6 im))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) im #s(literal 1 binary64)) im #s(literal 1 binary64))
(* -1 im)
(neg.f64 im)
(* -1 im)
(neg.f64 im)
(* -1 im)
(neg.f64 im)
(* -1 im)
(neg.f64 im)
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(+ (exp im) (exp (neg im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(+ (exp im) (exp (neg im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(+ (exp im) (exp (neg im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(+ (exp im) (exp (neg im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (neg im)) (sin re))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(exp (neg im))
(exp.f64 (neg.f64 im))
(exp (neg im))
(exp.f64 (neg.f64 im))
(exp (neg im))
(exp.f64 (neg.f64 im))
(exp (neg im))
(exp.f64 (neg.f64 im))
(* 1/2 (* (exp im) (sin re)))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))
(* 1/2 (* (exp im) (sin re)))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))
(* 1/2 (* (exp im) (sin re)))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))
(* 1/2 (* (exp im) (sin re)))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))
(exp im)
(exp.f64 im)
(exp im)
(exp.f64 im)
(exp im)
(exp.f64 im)
(exp im)
(exp.f64 im)
(* -1 im)
(neg.f64 im)
(* -1 im)
(neg.f64 im)
(* -1 im)
(neg.f64 im)
(* -1 im)
(neg.f64 im)
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(+ (exp im) (exp (* -1 im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(+ (exp im) (exp (* -1 im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(+ (exp im) (exp (* -1 im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(+ (exp im) (exp (* -1 im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (* -1 im)) (sin re))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (* -1 im)) (sin re))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (* -1 im)) (sin re))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(+ (* 1/2 (* (exp im) (sin re))) (* 1/2 (* (exp (* -1 im)) (sin re))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(exp (* -1 im))
(exp.f64 (neg.f64 im))
(exp (* -1 im))
(exp.f64 (neg.f64 im))
(exp (* -1 im))
(exp.f64 (neg.f64 im))
(exp (* -1 im))
(exp.f64 (neg.f64 im))
(* 1/2 (* (exp im) (sin re)))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))
(* 1/2 (* (exp im) (sin re)))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))
(* 1/2 (* (exp im) (sin re)))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))
(* 1/2 (* (exp im) (sin re)))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))
(exp im)
(exp.f64 im)
(exp im)
(exp.f64 im)
(exp im)
(exp.f64 im)
(exp im)
(exp.f64 im)
(* -1 im)
(neg.f64 im)
(* -1 im)
(neg.f64 im)
(* -1 im)
(neg.f64 im)
(* -1 im)
(neg.f64 im)

rewrite223.0ms (3%)

Memory
0.6MiB live, 197.2MiB allocated
Rules
8 544×lower-fma.f32
8 540×lower-fma.f64
5 036×lower-*.f32
5 022×lower-*.f64
3 194×lower-/.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02996
04579
113769
277369
0839669
Stop Event
iter limit
node limit
iter limit
Counts
14 → 654
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re))
(sin.f64 re)
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (cosh.f64 im))
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re))
(cosh.f64 im)
(fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(exp.f64 (neg.f64 im))
(*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re))
(exp.f64 im)
(neg.f64 im)
Outputs
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re))
(*.f64 #s(literal 1 binary64) (sin.f64 re))
(*.f64 (sin.f64 re) #s(literal 1 binary64))
(sin.f64 re)
(*.f64 (*.f64 #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(literal 1/2 binary64)) (sin.f64 re))
(*.f64 (*.f64 #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) (sin.f64 re)) #s(literal 1/2 binary64))
(*.f64 #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (sin.f64 re) (*.f64 #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) (sin.f64 re)))
(*.f64 (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (exp.f64 im) (sin.f64 re))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (exp.f64 im) #s(literal 1/2 binary64))) (sin.f64 re))
(*.f64 (/.f64 (sin.f64 re) (exp.f64 im)) (*.f64 (exp.f64 im) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 (exp.f64 im) (sin.f64 re)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)) (exp.f64 im))
(*.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) (exp.f64 (neg.f64 im)))
(*.f64 (exp.f64 im) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)))
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (sin.f64 re) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (exp.f64 im)))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(*.f64 (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sin.f64 re) (exp.f64 im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re))) (exp.f64 im))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 im)) (sin.f64 re)) (neg.f64 (exp.f64 im)))
(/.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) (exp.f64 im))
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
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(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)))
(+.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)))
(*.f64 (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (exp.f64 im) (sin.f64 re))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (exp.f64 (neg.f64 im)) (*.f64 (exp.f64 im) #s(literal 1/2 binary64))) (sin.f64 re))
(*.f64 (/.f64 (sin.f64 re) (exp.f64 im)) (*.f64 (exp.f64 im) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 (exp.f64 im) (sin.f64 re)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)) (exp.f64 im))
(*.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) (exp.f64 (neg.f64 im)))
(*.f64 (exp.f64 im) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (sin.f64 re)))
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (sin.f64 re) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) (exp.f64 im)))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(*.f64 (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sin.f64 re) (exp.f64 im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re))) (exp.f64 im))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 im)) (sin.f64 re)) (neg.f64 (exp.f64 im)))
(/.f64 (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)) (exp.f64 im))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 im #s(literal 2 binary64))))
(*.f64 (pow.f64 (exp.f64 im) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 im) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 im)))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))
(*.f64 (exp.f64 (neg.f64 im)) #s(literal 1 binary64))
(pow.f64 (exp.f64 (*.f64 (neg.f64 im) im)) (pow.f64 im #s(literal -1 binary64)))
(pow.f64 (exp.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64))) (pow.f64 im #s(literal -2 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) im)
(pow.f64 (exp.f64 im) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 im)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 im))))
(/.f64 #s(literal 1 binary64) (exp.f64 im))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 im)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) im))
(exp.f64 (neg.f64 im))
(*.f64 (*.f64 (exp.f64 im) (sin.f64 re)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re))
(*.f64 (exp.f64 im) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im))
(*.f64 (sin.f64 re) (*.f64 (exp.f64 im) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 im) (sin.f64 re)))
(*.f64 (exp.f64 im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 im))
(/.f64 (neg.f64 (exp.f64 im)) #s(literal -1 binary64))
(/.f64 (exp.f64 im) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))
(exp.f64 im)
(*.f64 (/.f64 (*.f64 im im) (*.f64 im im)) (neg.f64 im))
(*.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (neg.f64 (pow.f64 im #s(literal 4 binary64)))) (*.f64 (neg.f64 im) im))
(*.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (pow.f64 im #s(literal 4 binary64))) (*.f64 im im))
(*.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64))) (pow.f64 im #s(literal 4 binary64)))
(*.f64 (/.f64 (pow.f64 im #s(literal 3 binary64)) (neg.f64 (pow.f64 im #s(literal 4 binary64)))) (*.f64 im im))
(*.f64 (/.f64 (*.f64 (neg.f64 im) im) (*.f64 (neg.f64 im) im)) (neg.f64 im))
(*.f64 (/.f64 (*.f64 im im) (*.f64 (neg.f64 im) im)) im)
(*.f64 (/.f64 (*.f64 im im) (pow.f64 im #s(literal 3 binary64))) (*.f64 (neg.f64 im) im))
(*.f64 (/.f64 (pow.f64 im #s(literal 3 binary64)) (neg.f64 (pow.f64 im #s(literal 6 binary64)))) (pow.f64 im #s(literal 4 binary64)))
(*.f64 (/.f64 (*.f64 im im) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 im)))
(*.f64 (pow.f64 im #s(literal -1 binary64)) (*.f64 (neg.f64 im) im))
(*.f64 (pow.f64 im #s(literal -2 binary64)) (pow.f64 (neg.f64 im) #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 im)) (*.f64 im im))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 im) im)))
(*.f64 (*.f64 (neg.f64 im) im) (pow.f64 im #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) im)
(*.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (pow.f64 im #s(literal -2 binary64)))
(*.f64 (*.f64 im im) (/.f64 #s(literal 1 binary64) (neg.f64 im)))
(*.f64 #s(literal 1 binary64) (neg.f64 im))
(*.f64 im (log.f64 (exp.f64 #s(literal -1 binary64))))
(*.f64 im #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 im)) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 im im) (*.f64 (neg.f64 im) im)) (pow.f64 im #s(literal -1 binary64)))
(/.f64 (/.f64 (*.f64 im im) #s(literal -1 binary64)) im)
(/.f64 (*.f64 (neg.f64 (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal -1 binary64))) (*.f64 im im))
(/.f64 (*.f64 (neg.f64 (pow.f64 im #s(literal 6 binary64))) (pow.f64 im #s(literal -1 binary64))) (pow.f64 im #s(literal 4 binary64)))
(/.f64 (*.f64 (neg.f64 (pow.f64 im #s(literal 6 binary64))) (pow.f64 im #s(literal -2 binary64))) (pow.f64 im #s(literal 3 binary64)))
(/.f64 (*.f64 (neg.f64 (pow.f64 im #s(literal 9 binary64))) (pow.f64 im #s(literal -2 binary64))) (pow.f64 im #s(literal 6 binary64)))
(/.f64 (*.f64 (neg.f64 (pow.f64 im #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 im #s(literal 3 binary64)))
(/.f64 (*.f64 (neg.f64 (pow.f64 im #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) im))
(/.f64 (*.f64 (neg.f64 (pow.f64 im #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 im im)))
(/.f64 (*.f64 (neg.f64 (pow.f64 im #s(literal 9 binary64))) #s(literal 1 binary64)) (pow.f64 im #s(literal 8 binary64)))
(/.f64 (*.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 im im))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 im im) (pow.f64 im #s(literal 3 binary64)))) (pow.f64 im #s(literal 4 binary64)))
(/.f64 (*.f64 (*.f64 (neg.f64 im) im) #s(literal 1 binary64)) im)
(/.f64 (neg.f64 (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 3 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 im)) (pow.f64 im #s(literal -2 binary64)))
(/.f64 (neg.f64 (pow.f64 im #s(literal 6 binary64))) (*.f64 im (pow.f64 im #s(literal 4 binary64))))
(/.f64 (neg.f64 (pow.f64 im #s(literal 6 binary64))) (*.f64 (*.f64 im im) (pow.f64 im #s(literal 3 binary64))))
(/.f64 (neg.f64 (pow.f64 im #s(literal 9 binary64))) (pow.f64 im #s(literal 8 binary64)))
(/.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (neg.f64 im) im))
(/.f64 (*.f64 (neg.f64 im) im) im)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 im))))
(/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (*.f64 im im))
(/.f64 (*.f64 im im) (neg.f64 im))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 im)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 im)))
(/.f64 im #s(literal -1 binary64))
(neg.f64 im)
(fma.f64 (/.f64 (*.f64 im im) (*.f64 im im)) (neg.f64 im) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (neg.f64 (pow.f64 im #s(literal 4 binary64)))) (*.f64 (neg.f64 im) im) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (pow.f64 im #s(literal 4 binary64))) (*.f64 im im) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64))) (pow.f64 im #s(literal 4 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 im #s(literal 3 binary64)) (neg.f64 (pow.f64 im #s(literal 4 binary64)))) (*.f64 im im) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 (neg.f64 im) im) (*.f64 (neg.f64 im) im)) (neg.f64 im) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 im im) (*.f64 (neg.f64 im) im)) im #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 im im) (pow.f64 im #s(literal 3 binary64))) (*.f64 (neg.f64 im) im) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 im #s(literal 3 binary64)) (neg.f64 (pow.f64 im #s(literal 6 binary64)))) (pow.f64 im #s(literal 4 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 im im) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 im)) #s(literal 0 binary64))
(fma.f64 (pow.f64 im #s(literal -1 binary64)) (*.f64 (neg.f64 im) im) #s(literal 0 binary64))
(fma.f64 (pow.f64 im #s(literal -2 binary64)) (pow.f64 (neg.f64 im) #s(literal 3 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 im)) (*.f64 im im) #s(literal 0 binary64))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 im) im)) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 im) im) (pow.f64 im #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) im #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (pow.f64 im #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 im im) (/.f64 #s(literal 1 binary64) (neg.f64 im)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 im) #s(literal 0 binary64))
(fma.f64 im (log.f64 (exp.f64 #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 im #s(literal -1 binary64) #s(literal 0 binary64))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (exp.f64 im))))
(-.f64 (neg.f64 im) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) im)
(+.f64 (neg.f64 im) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (neg.f64 im))
(log.f64 (exp.f64 (neg.f64 im)))

eval150.0ms (2%)

Memory
-10.7MiB live, 146.9MiB allocated
Compiler

Compiled 21 639 to 1 511 computations (93% saved)

prune58.0ms (0.8%)

Memory
15.4MiB live, 54.0MiB allocated
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New9298937
Fresh000
Picked224
Done000
Total93110941
Accuracy
100.0%
Counts
941 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.9%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
100.0%
(*.f64 (sin.f64 re) (cosh.f64 im))
91.4%
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
88.2%
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
50.1%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
50.0%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
48.6%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
47.9%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
91.1%
#s(approx (* (* 1 (cosh im)) (sin re)) (fma.f64 (*.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im) (sin.f64 re)))
53.8%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re))
Compiler

Compiled 275 to 197 computations (28.4% saved)

simplify206.0ms (2.8%)

Memory
-34.9MiB live, 129.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 re)
cost-diff0
(*.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)))
cost-diff0
#s(approx (* (* 1 (cosh im)) (sin re)) (fma.f64 (*.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im) (sin.f64 re)))
cost-diff6400
(fma.f64 (*.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im) (sin.f64 re))
cost-diff0
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
cost-diff0
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
cost-diff0
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)
cost-diff0
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re))
cost-diff0
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
cost-diff0
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
cost-diff0
(*.f64 re #s(literal 1/2 binary64))
cost-diff0
#s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))
cost-diff0
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
cost-diff0
(cosh.f64 im)
cost-diff0
(sin.f64 re)
cost-diff0
(*.f64 (sin.f64 re) (cosh.f64 im))
Rules
10 940×lower-fma.f32
10 924×lower-fma.f64
3 182×lower-*.f32
3 164×lower-*.f64
2 964×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043318
070308
1128308
2231308
3536308
41381308
52842308
63543308
73889308
84155308
94355308
104638308
115981308
126904308
08005306
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (sin.f64 re) (cosh.f64 im))
(sin.f64 re)
re
(cosh.f64 im)
im
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))
(*.f64 re #s(literal 1/2 binary64))
re
#s(literal 1/2 binary64)
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
im
#s(literal 2 binary64)
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)
(fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64))
#s(literal 1/240 binary64)
(*.f64 re re)
re
#s(literal -1/12 binary64)
#s(literal 1/2 binary64)
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
im
#s(literal 2 binary64)
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 im im)
im
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(sin.f64 re)
re
#s(approx (* (* 1 (cosh im)) (sin re)) (fma.f64 (*.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im) (sin.f64 re)))
(fma.f64 (*.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im) (sin.f64 re))
(*.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)))
(sin.f64 re)
re
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 im im)
im
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
Outputs
(*.f64 (sin.f64 re) (cosh.f64 im))
(*.f64 (cosh.f64 im) (sin.f64 re))
(sin.f64 re)
re
(cosh.f64 im)
im
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)))
#s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 re #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) re)
re
#s(literal 1/2 binary64)
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
im
#s(literal 2 binary64)
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re))
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)
(*.f64 (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)
(fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64))
(fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal -1/12 binary64))
#s(literal 1/240 binary64)
(*.f64 re re)
re
#s(literal -1/12 binary64)
#s(literal 1/2 binary64)
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
im
#s(literal 2 binary64)
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))
(fma.f64 (*.f64 im im) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 im im)
im
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(sin.f64 re)
re
#s(approx (* (* 1 (cosh im)) (sin re)) (fma.f64 (*.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im) (sin.f64 re)))
#s(approx (* (* 1 (cosh im)) (sin re)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)) (sin.f64 re)))
(fma.f64 (*.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im) (sin.f64 re))
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im #s(literal 1 binary64)) (sin.f64 re))
(*.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (sin.f64 re))
(sin.f64 re)
re
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 im im)
im
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)

localize167.0ms (2.2%)

Memory
26.5MiB live, 181.2MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.03515625
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))
accuracy0.09375
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
accuracy2.156867679699877
(*.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)))
accuracy5.955778852319519
#s(approx (* (* 1 (cosh im)) (sin re)) (fma.f64 (*.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im) (sin.f64 re)))
accuracy0.00390625
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
accuracy0.03125
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
accuracy0.109375
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))
accuracy7.4582470257289
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
accuracy0.03515625
(fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
accuracy0.07421875
(fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64))
accuracy15.82972953559716
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
accuracy29.874400924057753
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re))
accuracy0
(*.f64 re #s(literal 1/2 binary64))
accuracy0.00390625
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
accuracy15.82972953559716
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
accuracy29.72172567936497
#s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))
accuracy0
(sin.f64 re)
accuracy0
(cosh.f64 im)
accuracy0.00390625
(*.f64 (sin.f64 re) (cosh.f64 im))
Samples
125.0ms256×0valid
Compiler

Compiled 237 to 43 computations (81.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 95.0ms
ival-add: 31.0ms (32.5% of total)
ival-mult: 23.0ms (24.1% of total)
const: 17.0ms (17.8% of total)
ival-sub: 11.0ms (11.5% of total)
ival-sin: 6.0ms (6.3% of total)
ival-exp: 3.0ms (3.1% of total)
ival-cosh: 3.0ms (3.1% of total)
exact: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series58.0ms (0.8%)

Memory
10.7MiB live, 49.3MiB allocated
Counts
21 → 336
Calls
Call 1
Inputs
#s(alt (*.f64 (sin.f64 re) (cosh.f64 im)) (patch (*.f64 (sin.f64 re) (cosh.f64 im)) #<representation binary64>) () ())
#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())
#s(alt (cosh.f64 im) (patch (cosh.f64 im) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (patch (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (patch #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 re #s(literal 1/2 binary64)) (patch (*.f64 re #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) (patch #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (patch (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) (patch #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) (patch (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) (patch (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) #<representation binary64>) () ())
#s(alt #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (patch #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im) (sin.f64 re)) (patch (fma.f64 (*.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im) (sin.f64 re)) #<representation binary64>) () ())
#s(alt #s(approx (* (* 1 (cosh im)) (sin re)) (fma.f64 (*.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im) (sin.f64 re))) (patch #s(approx (* (* 1 (cosh im)) (sin re)) (fma.f64 (*.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im) (sin.f64 re))) #<representation binary64>) () ())
#s(alt (*.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))) (patch (*.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (patch (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* 1/2 (* re (+ (exp im) (/ 1 (exp im))))) (taylor 0 re) (#s(alt (*.f64 (sin.f64 re) (cosh.f64 im)) (patch (*.f64 (sin.f64 re) (cosh.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))) (taylor 0 re) (#s(alt (*.f64 (sin.f64 re) (cosh.f64 im)) (patch (*.f64 (sin.f64 re) (cosh.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))))) (taylor 0 re) (#s(alt (*.f64 (sin.f64 re) (cosh.f64 im)) (patch (*.f64 (sin.f64 re) (cosh.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im)))))))))) (taylor 0 re) (#s(alt (*.f64 (sin.f64 re) (cosh.f64 im)) (patch (*.f64 (sin.f64 re) (cosh.f64 im)) #<representation binary64>) () ())) ())
#s(alt re (taylor 0 re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1 (* -1/6 (pow re 2)))) (taylor 0 re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))) (taylor 0 re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6)))) (taylor 0 re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* re (+ (exp im) (exp (neg im))))) (taylor 0 re) (#s(alt (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (patch (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))) (taylor 0 re) (#s(alt (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (patch (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im))))))))) (taylor 0 re) (#s(alt (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) (patch (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) (taylor -inf im) (#s(alt (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow im 4)) (taylor -inf im) (#s(alt (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 4) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) (taylor -inf im) (#s(alt (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 4) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 4) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
31.0ms
re
@-inf
((* (sin re) (cosh im)) (sin re) (cosh im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* re 1/2) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) (* (* 1 (cosh im)) (sin re)) (* 1 (cosh im)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (+ (* 1/24 (* im im)) 1/2) (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (* (* 1 (cosh im)) (sin re)) (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (+ (* 1/240 (* re re)) -1/12) (+ (* 1/720 (* im im)) 1/24) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2))
5.0ms
re
@0
((* (sin re) (cosh im)) (sin re) (cosh im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* re 1/2) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) (* (* 1 (cosh im)) (sin re)) (* 1 (cosh im)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (+ (* 1/24 (* im im)) 1/2) (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (* (* 1 (cosh im)) (sin re)) (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (+ (* 1/240 (* re re)) -1/12) (+ (* 1/720 (* im im)) 1/24) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2))
3.0ms
re
@inf
((* (sin re) (cosh im)) (sin re) (cosh im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* re 1/2) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) (* (* 1 (cosh im)) (sin re)) (* 1 (cosh im)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (+ (* 1/24 (* im im)) 1/2) (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (* (* 1 (cosh im)) (sin re)) (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (+ (* 1/240 (* re re)) -1/12) (+ (* 1/720 (* im im)) 1/24) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2))
3.0ms
im
@inf
((* (sin re) (cosh im)) (sin re) (cosh im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* re 1/2) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) (* (* 1 (cosh im)) (sin re)) (* 1 (cosh im)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (+ (* 1/24 (* im im)) 1/2) (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (* (* 1 (cosh im)) (sin re)) (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (+ (* 1/240 (* re re)) -1/12) (+ (* 1/720 (* im im)) 1/24) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2))
2.0ms
im
@-inf
((* (sin re) (cosh im)) (sin re) (cosh im) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* re 1/2) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) (* (* 1 (cosh im)) (sin re)) (* 1 (cosh im)) (+ (* (+ (* 1/24 (* im im)) 1/2) (* im im)) 1) (+ (* 1/24 (* im im)) 1/2) (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (* (* 1 (cosh im)) (sin re)) (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (+ (* 1/240 (* re re)) -1/12) (+ (* 1/720 (* im im)) 1/24) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2))

simplify262.0ms (3.5%)

Memory
-22.7MiB live, 221.0MiB allocated
Algorithm
egg-herbie
Rules
17 064×lower-fma.f64
17 064×lower-fma.f32
7 684×lower-+.f64
7 684×lower-+.f32
5 054×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02664251
19164076
228173926
379193910
082933655
Stop Event
iter limit
node limit
Counts
336 → 335
Calls
Call 1
Inputs
(* 1/2 (* re (+ (exp im) (/ 1 (exp im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im))))))))))
re
(* re (+ 1 (* -1/6 (pow re 2))))
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))
(* 1/2 re)
(* re (+ 1/2 (* -1/12 (pow re 2))))
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))
(* 1/2 re)
(* re (+ 1/2 (* -1/12 (pow re 2))))
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
(* 1/2 re)
(* re (+ 1/2 (* -1/12 (pow re 2))))
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
1/2
(+ 1/2 (* -1/12 (pow re 2)))
(+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))
(+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))
(* 1/2 (* re (+ (exp im) (/ 1 (exp im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im))))))))))
(* re (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))))
(* re (+ 1 (+ (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))) (* (pow re 2) (- (* -1/6 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) 1/6)))))
(* re (+ 1 (+ (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))) (* (pow re 2) (- (+ (* -1/6 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) (* (pow re 2) (+ 1/120 (* 1/120 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))) 1/6)))))
(* re (+ 1 (+ (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))) (* (pow re 2) (- (+ (* -1/6 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) (* (pow re 2) (+ 1/120 (+ (* 1/120 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) (* (pow re 2) (- (* -1/5040 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) 1/5040)))))) 1/6)))))
(* 1/2 (* re (+ (exp im) (/ 1 (exp im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im))))))))))
(* re (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))
(* re (+ 1/2 (+ (* -1/6 (* (pow re 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
(* re (+ 1/2 (+ (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))) (* (pow re 2) (+ (* -1/6 (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))) (* 1/120 (* (pow re 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))))))))
(* re (+ 1/2 (+ (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))) (* (pow re 2) (+ (* -1/6 (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))) (* (pow re 2) (+ (* -1/5040 (* (pow re 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) (* 1/120 (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))))))
-1/12
(- (* 1/240 (pow re 2)) 1/12)
(- (* 1/240 (pow re 2)) 1/12)
(- (* 1/240 (pow re 2)) 1/12)
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(sin re)
(sin re)
(sin re)
(sin re)
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/240 (pow re 5))
(* (pow re 5) (- 1/240 (* 1/12 (/ 1 (pow re 2)))))
(* (pow re 5) (- (+ 1/240 (/ 1/2 (pow re 4))) (* 1/12 (/ 1 (pow re 2)))))
(* (pow re 5) (- (+ 1/240 (/ 1/2 (pow re 4))) (* 1/12 (/ 1 (pow re 2)))))
(* 1/240 (pow re 4))
(* (pow re 4) (- 1/240 (* 1/12 (/ 1 (pow re 2)))))
(* (pow re 4) (- (+ 1/240 (/ 1/2 (pow re 4))) (* 1/12 (/ 1 (pow re 2)))))
(* (pow re 4) (- (+ 1/240 (/ 1/2 (pow re 4))) (* 1/12 (/ 1 (pow re 2)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(+ (sin re) (* (pow im 2) (* (sin re) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))))
(+ (sin re) (* (pow im 2) (* (sin re) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))))
(+ (sin re) (* (pow im 2) (* (sin re) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))))
(+ (sin re) (* (pow im 2) (* (sin re) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* (sin re) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))
(* (sin re) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))
(* (sin re) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))
(* (sin re) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))
(* 1/240 (pow re 2))
(* (pow re 2) (- 1/240 (* 1/12 (/ 1 (pow re 2)))))
(* (pow re 2) (- 1/240 (* 1/12 (/ 1 (pow re 2)))))
(* (pow re 2) (- 1/240 (* 1/12 (/ 1 (pow re 2)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(sin re)
(sin re)
(sin re)
(sin re)
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/240 (pow re 5))
(* -1 (* (pow re 5) (- (* 1/12 (/ 1 (pow re 2))) 1/240)))
(* -1 (* (pow re 5) (- (* 1/12 (/ 1 (pow re 2))) (+ 1/240 (/ 1/2 (pow re 4))))))
(* -1 (* (pow re 5) (- (* 1/12 (/ 1 (pow re 2))) (+ 1/240 (/ 1/2 (pow re 4))))))
(* 1/240 (pow re 4))
(* (pow re 4) (- 1/240 (* 1/12 (/ 1 (pow re 2)))))
(* (pow re 4) (- (+ 1/240 (/ 1/2 (pow re 4))) (* 1/12 (/ 1 (pow re 2)))))
(* (pow re 4) (- (+ 1/240 (/ 1/2 (pow re 4))) (* 1/12 (/ 1 (pow re 2)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(+ (sin re) (* (pow im 2) (* (sin re) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))))
(+ (sin re) (* (pow im 2) (* (sin re) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))))
(+ (sin re) (* (pow im 2) (* (sin re) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))))
(+ (sin re) (* (pow im 2) (* (sin re) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* (sin re) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))
(* (sin re) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))
(* (sin re) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))
(* (sin re) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))
(* 1/240 (pow re 2))
(* (pow re 2) (- 1/240 (* 1/12 (/ 1 (pow re 2)))))
(* (pow re 2) (- 1/240 (* 1/12 (/ 1 (pow re 2)))))
(* (pow re 2) (- 1/240 (* 1/12 (/ 1 (pow re 2)))))
(sin re)
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
1
(+ 1 (* 1/2 (pow im 2)))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
(sin re)
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
2
(+ 2 (pow im 2))
(+ 2 (* (pow im 2) (+ 1 (* 1/12 (pow im 2)))))
(+ 2 (* (pow im 2) (+ 1 (* (pow im 2) (+ 1/12 (* 1/360 (pow im 2)))))))
(sin re)
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
(sin re)
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
1
(+ 1 (* 1/2 (pow im 2)))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
1
(+ 1 (* 1/2 (pow im 2)))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
1/2
(+ 1/2 (* 1/24 (pow im 2)))
(+ 1/2 (* 1/24 (pow im 2)))
(+ 1/2 (* 1/24 (pow im 2)))
(sin re)
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
(sin re)
(+ (sin re) (* 1/2 (* (pow im 2) (sin re))))
(+ (sin re) (* (pow im 2) (+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))))
(+ (sin re) (* (pow im 2) (+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))))
(* 1/2 (sin re))
(+ (* 1/24 (* (pow im 2) (sin re))) (* 1/2 (sin re)))
(+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))
(+ (* 1/2 (sin re)) (* (pow im 2) (+ (* 1/720 (* (pow im 2) (sin re))) (* 1/24 (sin re)))))
1/24
(+ 1/24 (* 1/720 (pow im 2)))
(+ 1/24 (* 1/720 (pow im 2)))
(+ 1/24 (* 1/720 (pow im 2)))
1/2
(+ 1/2 (* 1/24 (pow im 2)))
(+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))
(+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(+ (exp im) (exp (neg im)))
(+ (exp im) (exp (neg im)))
(+ (exp im) (exp (neg im)))
(+ (exp im) (exp (neg im)))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/24 (pow im 4))
(* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4)))))
(* (pow im 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4)))))
(* 1/24 (pow im 2))
(* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* 1/720 (* (pow im 6) (sin re)))
(* (pow im 6) (+ (* 1/720 (sin re)) (* 1/24 (/ (sin re) (pow im 2)))))
(* (pow im 6) (+ (* 1/720 (sin re)) (+ (* 1/24 (/ (sin re) (pow im 2))) (* 1/2 (/ (sin re) (pow im 4))))))
(* (pow im 6) (+ (* 1/720 (sin re)) (+ (* 1/24 (/ (sin re) (pow im 2))) (+ (* 1/2 (/ (sin re) (pow im 4))) (/ (sin re) (pow im 6))))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/720 (* (pow im 4) (sin re)))
(* (pow im 4) (+ (* 1/720 (sin re)) (* 1/24 (/ (sin re) (pow im 2)))))
(* (pow im 4) (+ (* 1/720 (sin re)) (+ (* 1/24 (/ (sin re) (pow im 2))) (* 1/2 (/ (sin re) (pow im 4))))))
(* (pow im 4) (+ (* 1/720 (sin re)) (+ (* 1/24 (/ (sin re) (pow im 2))) (* 1/2 (/ (sin re) (pow im 4))))))
(* 1/720 (pow im 2))
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* 1/720 (pow im 4))
(* (pow im 4) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* (pow im 4) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))
(* (pow im 4) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(+ (exp im) (exp (* -1 im)))
(+ (exp im) (exp (* -1 im)))
(+ (exp im) (exp (* -1 im)))
(+ (exp im) (exp (* -1 im)))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(* 1/24 (pow im 4))
(* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4)))))
(* (pow im 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4)))))
(* 1/24 (pow im 2))
(* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* 1/720 (* (pow im 6) (sin re)))
(* (pow im 6) (+ (* 1/720 (sin re)) (* 1/24 (/ (sin re) (pow im 2)))))
(* (pow im 6) (+ (* 1/720 (sin re)) (+ (* 1/24 (/ (sin re) (pow im 2))) (* 1/2 (/ (sin re) (pow im 4))))))
(* (pow im 6) (+ (* 1/720 (sin re)) (+ (* 1/24 (/ (sin re) (pow im 2))) (+ (* 1/2 (/ (sin re) (pow im 4))) (/ (sin re) (pow im 6))))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/720 (* (pow im 4) (sin re)))
(* (pow im 4) (+ (* 1/720 (sin re)) (* 1/24 (/ (sin re) (pow im 2)))))
(* (pow im 4) (+ (* 1/720 (sin re)) (+ (* 1/24 (/ (sin re) (pow im 2))) (* 1/2 (/ (sin re) (pow im 4))))))
(* (pow im 4) (+ (* 1/720 (sin re)) (+ (* 1/24 (/ (sin re) (pow im 2))) (* 1/2 (/ (sin re) (pow im 4))))))
(* 1/720 (pow im 2))
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* 1/720 (pow im 4))
(* (pow im 4) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* (pow im 4) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))
(* (pow im 4) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))
Outputs
(* 1/2 (* re (+ (exp im) (/ 1 (exp im)))))
(*.f64 (*.f64 re #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re)
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64))) (*.f64 (*.f64 re #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im))))))))))
(*.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64))) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) re)
re
(* re (+ 1 (* -1/6 (pow re 2))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re)
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re)
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) re)
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(*.f64 (*.f64 re #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re)
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64))) (*.f64 (*.f64 re #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))
(*.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64))) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) re)
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* re (+ 1/2 (* -1/12 (pow re 2))))
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(*.f64 (*.f64 re #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re)
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64))) (*.f64 (*.f64 re #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))
(*.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64))) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) re)
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* re (+ 1/2 (* -1/12 (pow re 2))))
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* re (+ 1/2 (* -1/12 (pow re 2))))
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/12 (pow re 2)))
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))
(fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))
(fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(* 1/2 (* re (+ (exp im) (/ 1 (exp im)))))
(*.f64 (*.f64 re #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re)
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64))) (*.f64 (*.f64 re #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im))))))))))
(*.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64))) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))) re)
(* re (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)
(* re (+ 1 (+ (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))) (* (pow re 2) (- (* -1/6 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) 1/6)))))
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal -1/6 binary64)) re) re (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re)
(* re (+ 1 (+ (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))) (* (pow re 2) (- (+ (* -1/6 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) (* (pow re 2) (+ 1/120 (* 1/120 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))) 1/6)))))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) re) re (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) #s(literal -1/6 binary64))) (*.f64 re re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re)
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(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))
(* 1/720 (* (pow im 6) (sin re)))
(*.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/720 binary64)) (sin.f64 re))
(* (pow im 6) (+ (* 1/720 (sin re)) (* 1/24 (/ (sin re) (pow im 2)))))
(*.f64 (*.f64 (sin.f64 re) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/720 binary64))) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (+ (* 1/720 (sin re)) (+ (* 1/24 (/ (sin re) (pow im 2))) (* 1/2 (/ (sin re) (pow im 4))))))
(*.f64 (fma.f64 (sin.f64 re) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/720 binary64)) (*.f64 (/.f64 (sin.f64 re) im) (/.f64 #s(literal 1/24 binary64) im))) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (+ (* 1/720 (sin re)) (+ (* 1/24 (/ (sin re) (pow im 2))) (+ (* 1/2 (/ (sin re) (pow im 4))) (/ (sin re) (pow im 6))))))
(*.f64 (fma.f64 (sin.f64 re) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/720 binary64)) (fma.f64 (sin.f64 re) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 6 binary64))))) (pow.f64 im #s(literal 6 binary64)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/720 (* (pow im 4) (sin re)))
(*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/720 binary64)) (sin.f64 re))
(* (pow im 4) (+ (* 1/720 (sin re)) (* 1/24 (/ (sin re) (pow im 2)))))
(*.f64 (*.f64 (sin.f64 re) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/720 binary64))) (pow.f64 im #s(literal 4 binary64)))
(* (pow im 4) (+ (* 1/720 (sin re)) (+ (* 1/24 (/ (sin re) (pow im 2))) (* 1/2 (/ (sin re) (pow im 4))))))
(*.f64 (fma.f64 (sin.f64 re) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/720 binary64)) (*.f64 (/.f64 (sin.f64 re) im) (/.f64 #s(literal 1/24 binary64) im))) (pow.f64 im #s(literal 4 binary64)))
(* (pow im 4) (+ (* 1/720 (sin re)) (+ (* 1/24 (/ (sin re) (pow im 2))) (* 1/2 (/ (sin re) (pow im 4))))))
(*.f64 (fma.f64 (sin.f64 re) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/720 binary64)) (*.f64 (/.f64 (sin.f64 re) im) (/.f64 #s(literal 1/24 binary64) im))) (pow.f64 im #s(literal 4 binary64)))
(* 1/720 (pow im 2))
(*.f64 #s(literal 1/720 binary64) (*.f64 im im))
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
(* 1/720 (pow im 4))
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/720 binary64))
(* (pow im 4) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/720 binary64)) (pow.f64 im #s(literal 4 binary64)))
(* (pow im 4) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/720 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1/2 binary64))
(* (pow im 4) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/720 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1/2 binary64))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(+ (exp im) (exp (* -1 im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(+ (exp im) (exp (* -1 im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(+ (exp im) (exp (* -1 im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(+ (exp im) (exp (* -1 im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(* 1/2 (+ (exp im) (/ 1 (exp im))))
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64))
(* 1/24 (pow im 4))
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64))
(* (pow im 4) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 1/24 binary64)) (pow.f64 im #s(literal 4 binary64)))
(* (pow im 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4)))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 1/24 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64))
(* (pow im 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow im 2))) (/ 1 (pow im 4)))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) #s(literal 1/24 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64))
(* 1/24 (pow im 2))
(*.f64 #s(literal 1/24 binary64) (*.f64 im im))
(* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))
(* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))
(* (pow im 2) (+ 1/24 (* 1/2 (/ 1 (pow im 2)))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))
(* 1/720 (* (pow im 6) (sin re)))
(*.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/720 binary64)) (sin.f64 re))
(* (pow im 6) (+ (* 1/720 (sin re)) (* 1/24 (/ (sin re) (pow im 2)))))
(*.f64 (*.f64 (sin.f64 re) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/720 binary64))) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (+ (* 1/720 (sin re)) (+ (* 1/24 (/ (sin re) (pow im 2))) (* 1/2 (/ (sin re) (pow im 4))))))
(*.f64 (fma.f64 (sin.f64 re) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/720 binary64)) (*.f64 (/.f64 (sin.f64 re) im) (/.f64 #s(literal 1/24 binary64) im))) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (+ (* 1/720 (sin re)) (+ (* 1/24 (/ (sin re) (pow im 2))) (+ (* 1/2 (/ (sin re) (pow im 4))) (/ (sin re) (pow im 6))))))
(*.f64 (fma.f64 (sin.f64 re) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/720 binary64)) (fma.f64 (sin.f64 re) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 6 binary64))))) (pow.f64 im #s(literal 6 binary64)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/720 (* (pow im 4) (sin re)))
(*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/720 binary64)) (sin.f64 re))
(* (pow im 4) (+ (* 1/720 (sin re)) (* 1/24 (/ (sin re) (pow im 2)))))
(*.f64 (*.f64 (sin.f64 re) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/720 binary64))) (pow.f64 im #s(literal 4 binary64)))
(* (pow im 4) (+ (* 1/720 (sin re)) (+ (* 1/24 (/ (sin re) (pow im 2))) (* 1/2 (/ (sin re) (pow im 4))))))
(*.f64 (fma.f64 (sin.f64 re) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/720 binary64)) (*.f64 (/.f64 (sin.f64 re) im) (/.f64 #s(literal 1/24 binary64) im))) (pow.f64 im #s(literal 4 binary64)))
(* (pow im 4) (+ (* 1/720 (sin re)) (+ (* 1/24 (/ (sin re) (pow im 2))) (* 1/2 (/ (sin re) (pow im 4))))))
(*.f64 (fma.f64 (sin.f64 re) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/720 binary64)) (*.f64 (/.f64 (sin.f64 re) im) (/.f64 #s(literal 1/24 binary64) im))) (pow.f64 im #s(literal 4 binary64)))
(* 1/720 (pow im 2))
(*.f64 #s(literal 1/720 binary64) (*.f64 im im))
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
(* 1/720 (pow im 4))
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/720 binary64))
(* (pow im 4) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/720 binary64)) (pow.f64 im #s(literal 4 binary64)))
(* (pow im 4) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/720 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1/2 binary64))
(* (pow im 4) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/720 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1/2 binary64))

rewrite158.0ms (2.1%)

Memory
-11.3MiB live, 268.5MiB allocated
Rules
5 008×lower-fma.f32
4 992×lower-fma.f64
3 968×lower-/.f64
3 968×lower-/.f32
3 704×lower-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
043263
070254
1254248
21694248
08760248
Stop Event
iter limit
node limit
iter limit
Counts
21 → 402
Calls
Call 1
Inputs
(*.f64 (sin.f64 re) (cosh.f64 im))
(sin.f64 re)
(cosh.f64 im)
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))
(*.f64 re #s(literal 1/2 binary64))
#s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)
(fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
#s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im) (sin.f64 re))
#s(approx (* (* 1 (cosh im)) (sin re)) (fma.f64 (*.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im) (sin.f64 re)))
(*.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))
Outputs
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (sin.f64 re)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (sin.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (cosh.f64 im) (sin.f64 re)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 im) (sin.f64 re)))
(*.f64 (cosh.f64 im) (sin.f64 re))
(*.f64 (sin.f64 re) (cosh.f64 im))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (sin.f64 re))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (sin.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (sin.f64 re)) #s(literal 2 binary64))
(/.f64 (*.f64 (sin.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (sin.f64 re))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))))
(/.f64 (sin.f64 re) (/.f64 #s(literal 1 binary64) (cosh.f64 im)))
(*.f64 #s(literal 1 binary64) (sin.f64 re))
(*.f64 (sin.f64 re) #s(literal 1 binary64))
(sin.f64 re)
(*.f64 (/.f64 (+.f64 (expm1.f64 (*.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal -2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (+.f64 (expm1.f64 (*.f64 im #s(literal 2 binary64))) (pow.f64 (exp.f64 im) #s(literal -2 binary64)))))
(*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal -1/2 binary64))
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(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) (*.f64 im #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im)) (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) (*.f64 im #s(literal 1/2 binary64))))) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/576 binary64)) (*.f64 im im)) (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal -1/24 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (*.f64 im im)) (pow.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) #s(literal 1/17280 binary64)))) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (*.f64 im im) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/576 binary64))) (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal -1/24 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (*.f64 im im) (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (pow.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 im im) #s(literal 1/17280 binary64)))) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im #s(literal 1/2 binary64))
(fma.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)))))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))
(fma.f64 (*.f64 im im) (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 im (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im))) (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im))))
(-.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64))))
(+.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal -1/2 binary64)))))
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im))

eval104.0ms (1.4%)

Memory
11.3MiB live, 242.5MiB allocated
Compiler

Compiled 20 697 to 2 280 computations (89% saved)

prune53.0ms (0.7%)

Memory
19.6MiB live, 109.1MiB allocated
Pruning

17 alts after pruning (12 fresh and 5 done)

PrunedKeptTotal
New78210792
Fresh123
Picked235
Done022
Total78517802
Accuracy
100.0%
Counts
802 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.9%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
100.0%
(*.f64 (sin.f64 re) (cosh.f64 im))
91.4%
(*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
88.2%
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
50.1%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
59.6%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
37.2%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
48.6%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
49.8%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
58.9%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
47.9%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
28.8%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
77.9%
#s(approx (* (* 1 (cosh im)) (sin re)) (fma.f64 #s(approx (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) re)) (*.f64 im im) (sin.f64 re)))
58.9%
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
38.3%
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) re) re (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) #s(literal -1/6 binary64))) (*.f64 re re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re)))
31.4%
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal -1/6 binary64)) re) re (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re)))
53.8%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re))
Compiler

Compiled 621 to 396 computations (36.2% saved)

simplify195.0ms (2.6%)

Memory
8.2MiB live, 240.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal -1/6 binary64)) re)
cost-diff0
#s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal -1/6 binary64)) re) re (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re))
cost-diff0
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal -1/6 binary64)) re) re (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re)))
cost-diff2112
(fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal -1/6 binary64)) re) re (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
cost-diff0
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)
cost-diff0
#s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re))
cost-diff0
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
cost-diff0
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)
cost-diff0
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re))
cost-diff0
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
cost-diff0
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
cost-diff0
(*.f64 re #s(literal 1/2 binary64))
cost-diff0
#s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))
cost-diff0
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
cost-diff0
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
cost-diff0
#s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
cost-diff0
(sin.f64 re)
cost-diff0
(*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
Rules
20 016×lower-fma.f32
20 004×lower-fma.f64
5 766×lower-+.f64
5 766×lower-+.f32
3 290×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054658
081650
1144650
2290642
3903580
43150580
55373580
66216580
76302580
86626580
97360580
08143576
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(sin.f64 re)
re
#s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 im im)
im
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))
(*.f64 re #s(literal 1/2 binary64))
re
#s(literal 1/2 binary64)
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)
(fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64))
#s(literal 1/240 binary64)
(*.f64 re re)
re
#s(literal -1/12 binary64)
#s(literal 1/2 binary64)
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
#s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 im im)
im
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
re
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal -1/6 binary64)) re) re (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re)))
#s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal -1/6 binary64)) re) re (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re))
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal -1/6 binary64)) re) re (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re)
(fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal -1/6 binary64)) re) re (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal -1/6 binary64)) re)
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal -1/6 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 im im)
im
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal -1/6 binary64)
re
Outputs
(*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(sin.f64 re)
re
#s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
(fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 im im)
im
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)))
#s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
(*.f64 re #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) re)
re
#s(literal 1/2 binary64)
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re))
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)
(*.f64 (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)
(fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64))
(fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal -1/12 binary64))
#s(literal 1/240 binary64)
(*.f64 re re)
re
#s(literal -1/12 binary64)
#s(literal 1/2 binary64)
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
#s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re))
#s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
(fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 im im)
im
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
re
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal -1/6 binary64)) re) re (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re))))
#s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal -1/6 binary64)) re) re (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re))
#s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re)))
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal -1/6 binary64)) re) re (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re)
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re))
(fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal -1/6 binary64)) re) re (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) re) re #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal -1/6 binary64)) re)
(*.f64 (*.f64 #s(literal -1/6 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re)
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
(fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 im im)
im
#s(literal 1/24 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal -1/6 binary64)
re

localize126.0ms (1.7%)

Memory
-25.1MiB live, 255.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.6175925123376493
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal -1/6 binary64)) re)
accuracy5.955778852319519
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal -1/6 binary64)) re) re (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re)))
accuracy21.140536240698857
(fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal -1/6 binary64)) re) re (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
accuracy25.278339829649795
#s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal -1/6 binary64)) re) re (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re))
accuracy0.09375
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
accuracy0.4726680153570709
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)
accuracy5.955778852319519
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
accuracy24.06245335241355
#s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re))
accuracy0.03515625
(fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
accuracy0.07421875
(fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64))
accuracy29.433968016351667
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
accuracy29.874400924057753
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re))
accuracy0
(*.f64 re #s(literal 1/2 binary64))
accuracy0.00390625
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
accuracy29.433968016351667
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
accuracy29.72172567936497
#s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))
accuracy0.03125
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
accuracy0.03515625
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))
accuracy0.09375
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
accuracy5.442600155005191
#s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
Samples
92.0ms256×0valid
Compiler

Compiled 468 to 47 computations (90% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
ival-mult: 30.0ms (42.9% of total)
const: 15.0ms (21.4% of total)
ival-add: 11.0ms (15.7% of total)
ival-sin: 6.0ms (8.6% of total)
ival-exp: 4.0ms (5.7% of total)
ival-cosh: 3.0ms (4.3% of total)
ival-sub: 1.0ms (1.4% of total)
exact: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series40.0ms (0.5%)

Memory
4.4MiB live, 82.9MiB allocated
Counts
22 → 384
Calls
Call 1
Inputs
#s(alt (*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())
#s(alt #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (patch #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) (patch (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) (patch #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 re #s(literal 1/2 binary64)) (patch (*.f64 re #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) (patch #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) (patch (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) (patch #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) (patch (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re))) (patch #s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)) (patch #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal -1/6 binary64)) re) re (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (patch (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal -1/6 binary64)) re) re (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal -1/6 binary64)) re) re (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re))) (patch #s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal -1/6 binary64)) re) re (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal -1/6 binary64)) re) re (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re)) (patch #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal -1/6 binary64)) re) re (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal -1/6 binary64)) re) (patch (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal -1/6 binary64)) re) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (patch (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* 1/2 (* re (+ (exp im) (/ 1 (exp im))))) (taylor 0 re) (#s(alt (*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im)))))) (taylor 0 re) (#s(alt (*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))))))) (taylor 0 re) (#s(alt (*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im)))))))))) (taylor 0 re) (#s(alt (*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) (patch (*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt re (taylor 0 re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1 (* -1/6 (pow re 2)))) (taylor 0 re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6)))) (taylor 0 re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6)))) (taylor 0 re) (#s(alt (sin.f64 re) (patch (sin.f64 re) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* re (+ (exp im) (exp (neg im))))) (taylor 0 re) (#s(alt (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) (patch (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im)))))) (taylor 0 re) (#s(alt (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) (patch (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* (pow im 6) (+ (* -1/12 (/ re (pow im 4))) (+ (* -1/144 (/ re (pow im 2))) (* -1/4320 re)))) (taylor -inf im) (#s(alt (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal -1/6 binary64)) re) (patch (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal -1/6 binary64)) re) #<representation binary64>) () ())) ())
#s(alt (* (pow im 6) (+ (* -1/6 (/ re (pow im 6))) (+ (* -1/12 (/ re (pow im 4))) (+ (* -1/144 (/ re (pow im 2))) (* -1/4320 re))))) (taylor -inf im) (#s(alt (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal -1/6 binary64)) re) (patch (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal -1/6 binary64)) re) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow im 2)) (taylor -inf im) (#s(alt (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) (taylor -inf im) (#s(alt (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) (taylor -inf im) (#s(alt (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) (taylor -inf im) (#s(alt (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/720 (pow im 4)) (taylor -inf im) (#s(alt (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 4) (+ 1/720 (* 1/24 (/ 1 (pow im 2))))) (taylor -inf im) (#s(alt (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 4) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 4) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2)))))) (taylor -inf im) (#s(alt (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
4.0ms
im
@inf
((* (sin re) (cosh im)) (sin re) (cosh im) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* re 1/2) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) (* (* 1 (cosh im)) (sin re)) (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) re) (+ (* (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) re) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)) (* (* 1 (cosh im)) (sin re)) (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) (+ (* 1/720 (* im im)) 1/24) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (* 1/240 (* re re)) -1/12))
3.0ms
re
@inf
((* (sin re) (cosh im)) (sin re) (cosh im) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* re 1/2) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) (* (* 1 (cosh im)) (sin re)) (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) re) (+ (* (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) re) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)) (* (* 1 (cosh im)) (sin re)) (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) (+ (* 1/720 (* im im)) 1/24) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (* 1/240 (* re re)) -1/12))
3.0ms
re
@-inf
((* (sin re) (cosh im)) (sin re) (cosh im) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* re 1/2) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) (* (* 1 (cosh im)) (sin re)) (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) re) (+ (* (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) re) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)) (* (* 1 (cosh im)) (sin re)) (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) (+ (* 1/720 (* im im)) 1/24) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (* 1/240 (* re re)) -1/12))
3.0ms
re
@0
((* (sin re) (cosh im)) (sin re) (cosh im) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* re 1/2) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) (* (* 1 (cosh im)) (sin re)) (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) re) (+ (* (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) re) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)) (* (* 1 (cosh im)) (sin re)) (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) (+ (* 1/720 (* im im)) 1/24) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (* 1/240 (* re re)) -1/12))
2.0ms
im
@-inf
((* (sin re) (cosh im)) (sin re) (cosh im) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* re 1/2) (+ (exp (- 0 im)) (exp im)) (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (* 1/2 (sin re)) (* (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) re) (+ (* (+ (* 1/240 (* re re)) -1/12) (* re re)) 1/2) (* (* 1 (cosh im)) (sin re)) (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) re) (+ (* (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) re) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)) (* (* 1 (cosh im)) (sin re)) (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) (+ (* 1/720 (* im im)) 1/24) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (+ (* 1/240 (* re re)) -1/12))

simplify194.0ms (2.6%)

Memory
24.8MiB live, 265.7MiB allocated
Algorithm
egg-herbie
Rules
11 426×lower-fma.f64
11 426×lower-fma.f32
5 848×lower-*.f64
5 848×lower-*.f32
3 436×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03525978
111925822
236735438
348915329
466845325
085444905
Stop Event
iter limit
node limit
Counts
384 → 382
Calls
Call 1
Inputs
(* 1/2 (* re (+ (exp im) (/ 1 (exp im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im))))))))))
re
(* re (+ 1 (* -1/6 (pow re 2))))
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))
(* 1/2 re)
(* re (+ 1/2 (* -1/12 (pow re 2))))
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))
(* 1/2 re)
(* re (+ 1/2 (* -1/12 (pow re 2))))
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
(* 1/2 re)
(* re (+ 1/2 (* -1/12 (pow re 2))))
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
1/2
(+ 1/2 (* -1/12 (pow re 2)))
(+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))
(+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))
(* 1/2 (* re (+ (exp im) (/ 1 (exp im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im))))))))))
(* re (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))))
(* re (+ 1 (+ (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))) (* (pow re 2) (- (* -1/6 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) 1/6)))))
(* re (+ 1 (+ (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))) (* (pow re 2) (- (+ (* -1/6 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) (* (pow re 2) (+ 1/120 (* 1/120 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))) 1/6)))))
(* re (+ 1 (+ (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))) (* (pow re 2) (- (+ (* -1/6 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) (* (pow re 2) (+ 1/120 (+ (* 1/120 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) (* (pow re 2) (- (* -1/5040 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) 1/5040)))))) 1/6)))))
(* re (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))))
(* re (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))))
(* re (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))))
(* re (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
(+ 1 (+ (* -1/6 (* (pow re 2) (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))))) (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))))
(+ 1 (+ (* -1/6 (* (pow re 2) (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))))) (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))))
(+ 1 (+ (* -1/6 (* (pow re 2) (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))))) (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))))
(* 1/2 (* re (+ (exp im) (/ 1 (exp im)))))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))))
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im))))))))))
(* re (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))))
(* re (+ 1 (+ (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))) (* (pow re 2) (- (* -1/6 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) 1/6)))))
(* re (+ 1 (+ (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))) (* (pow re 2) (- (+ (* -1/6 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) (* (pow re 2) (+ 1/120 (* 1/120 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))) 1/6)))))
(* re (+ 1 (+ (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))) (* (pow re 2) (- (+ (* -1/6 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) (* (pow re 2) (+ 1/120 (+ (* 1/120 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) (* (pow re 2) (- (* -1/5040 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) 1/5040)))))) 1/6)))))
(* -1/6 (* re (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))
(* -1/6 (* re (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))
(* -1/6 (* re (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))
(* -1/6 (* re (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))
-1/12
(- (* 1/240 (pow re 2)) 1/12)
(- (* 1/240 (pow re 2)) 1/12)
(- (* 1/240 (pow re 2)) 1/12)
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(sin re)
(sin re)
(sin re)
(sin re)
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 (sin re))
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
(* 1/2 (* (sin re) (+ (exp im) (exp (neg im)))))
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(sin re)
(sin re)
(sin re)
(sin re)
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(sin re)
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1
(+ 1 (* 1/2 (pow im 2)))
(+ 1 (* (pow im 2) (+ 1/2 (* 1/24 (pow im 2)))))
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
1
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(sin re)
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2
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(sin re)
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re
(+ re (* 1/2 (* (pow im 2) re)))
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(+ 1 (+ (* -1/6 (pow re 2)) (* (pow im 2) (+ 1/2 (+ (* -1/12 (pow re 2)) (* (pow im 2) (+ 1/24 (+ (* -1/144 (pow re 2)) (* (pow im 2) (+ 1/720 (* -1/4320 (pow re 2))))))))))))
(sin re)
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(sin re)
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1/24
(+ 1/24 (* 1/720 (pow im 2)))
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1/2
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(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))
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(* (pow im 6) (+ (* 1/720 (sin re)) (+ (* 1/24 (/ (sin re) (pow im 2))) (+ (* 1/2 (/ (sin re) (pow im 4))) (/ (sin re) (pow im 6))))))
(* -1/4320 (* (pow im 6) re))
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(* (pow im 6) (+ (* -1/6 (/ re (pow im 6))) (+ (* -1/12 (/ re (pow im 4))) (+ (* -1/144 (/ re (pow im 2))) (* -1/4320 re)))))
(* 1/720 (pow im 2))
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(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* 1/720 (pow im 4))
(* (pow im 4) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* (pow im 4) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))
(* (pow im 4) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
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(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))
(* (pow im 6) (+ 1/720 (+ (/ 1/2 (pow im 4)) (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))))))
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(* (pow im 6) (+ (* 1/720 (sin re)) (+ (* 1/24 (/ (sin re) (pow im 2))) (* 1/2 (/ (sin re) (pow im 4))))))
(* (pow im 6) (+ (* 1/720 (sin re)) (+ (* 1/24 (/ (sin re) (pow im 2))) (+ (* 1/2 (/ (sin re) (pow im 4))) (/ (sin re) (pow im 6))))))
(* 1/720 (* (pow im 6) re))
(* (pow im 6) (+ (* 1/720 re) (* 1/24 (/ re (pow im 2)))))
(* (pow im 6) (+ (* 1/720 re) (+ (* 1/24 (/ re (pow im 2))) (* 1/2 (/ re (pow im 4))))))
(* (pow im 6) (+ (* 1/720 re) (+ (* 1/24 (/ re (pow im 2))) (+ (* 1/2 (/ re (pow im 4))) (/ re (pow im 6))))))
(* (pow im 6) (+ 1/720 (* -1/4320 (pow re 2))))
(* (pow im 6) (+ 1/720 (+ (* -1/144 (/ (pow re 2) (pow im 2))) (+ (* -1/4320 (pow re 2)) (* 1/24 (/ 1 (pow im 2)))))))
(* (pow im 6) (+ 1/720 (+ (* -1/12 (/ (pow re 2) (pow im 4))) (+ (* -1/144 (/ (pow re 2) (pow im 2))) (+ (* -1/4320 (pow re 2)) (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2)))))))))
(* (pow im 6) (+ 1/720 (+ (* -1/6 (/ (pow re 2) (pow im 6))) (+ (* -1/12 (/ (pow re 2) (pow im 4))) (+ (* -1/144 (/ (pow re 2) (pow im 2))) (+ (* -1/4320 (pow re 2)) (+ (/ 1/2 (pow im 4)) (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))))))))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
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(* 1/720 (* (pow im 6) (sin re)))
(* (pow im 6) (+ (* 1/720 (sin re)) (* 1/24 (/ (sin re) (pow im 2)))))
(* (pow im 6) (+ (* 1/720 (sin re)) (+ (* 1/24 (/ (sin re) (pow im 2))) (* 1/2 (/ (sin re) (pow im 4))))))
(* (pow im 6) (+ (* 1/720 (sin re)) (+ (* 1/24 (/ (sin re) (pow im 2))) (+ (* 1/2 (/ (sin re) (pow im 4))) (/ (sin re) (pow im 6))))))
(* -1/4320 (* (pow im 6) re))
(* (pow im 6) (+ (* -1/144 (/ re (pow im 2))) (* -1/4320 re)))
(* (pow im 6) (+ (* -1/12 (/ re (pow im 4))) (+ (* -1/144 (/ re (pow im 2))) (* -1/4320 re))))
(* (pow im 6) (+ (* -1/6 (/ re (pow im 6))) (+ (* -1/12 (/ re (pow im 4))) (+ (* -1/144 (/ re (pow im 2))) (* -1/4320 re)))))
(* 1/720 (pow im 2))
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* 1/720 (pow im 4))
(* (pow im 4) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(* (pow im 4) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))
(* (pow im 4) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))
Outputs
(* 1/2 (* re (+ (exp im) (/ 1 (exp im)))))
(*.f64 (*.f64 re #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re)
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) re)
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im))))))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64))) (*.f64 (*.f64 re #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
re
(* re (+ 1 (* -1/6 (pow re 2))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64) re)
(* re (+ 1 (* (pow re 2) (- (* 1/120 (pow re 2)) 1/6))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) re)
(* re (+ 1 (* (pow re 2) (- (* (pow re 2) (+ 1/120 (* -1/5040 (pow re 2)))) 1/6))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal -1/6 binary64)) re)
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(*.f64 (*.f64 re #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re)
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) re)
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64))) (*.f64 (*.f64 re #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* re (+ 1/2 (* -1/12 (pow re 2))))
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* 1/2 (* re (+ (exp im) (exp (neg im)))))
(*.f64 (*.f64 re #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/2 (+ (exp im) (exp (neg im))))))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re)
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* 1/240 (* (pow re 2) (+ (exp im) (exp (neg im)))))))))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) re)
(* re (+ (* 1/2 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (exp (neg im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (exp (neg im))))) (* 1/240 (+ (exp im) (exp (neg im))))))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64))) (*.f64 (*.f64 re #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* re (+ 1/2 (* -1/12 (pow re 2))))
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)
(* re (+ 1/2 (* (pow re 2) (- (* (pow re 2) (+ 1/240 (* -1/10080 (pow re 2)))) 1/12))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* re (+ 1/2 (* -1/12 (pow re 2))))
(*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)
(* re (+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/12 (pow re 2)))
(fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))
(fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(+ 1/2 (* (pow re 2) (- (* 1/240 (pow re 2)) 1/12)))
(fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
(* 1/2 (* re (+ (exp im) (/ 1 (exp im)))))
(*.f64 (*.f64 re #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re)
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) re)
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im))))))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64))) (*.f64 (*.f64 re #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(* re (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)
(* re (+ 1 (+ (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))) (* (pow re 2) (- (* -1/6 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) 1/6)))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re)
(* re (+ 1 (+ (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))) (* (pow re 2) (- (+ (* -1/6 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) (* (pow re 2) (+ 1/120 (* 1/120 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))) 1/6)))))
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64))) (*.f64 re re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re)
(* re (+ 1 (+ (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))) (* (pow re 2) (- (+ (* -1/6 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) (* (pow re 2) (+ 1/120 (+ (* 1/120 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) (* (pow re 2) (- (* -1/5040 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) 1/5040)))))) 1/6)))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im) (fma.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal -1/5040 binary64)) (*.f64 re re) #s(literal 1/120 binary64))) (*.f64 re re) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal -1/6 binary64))) (*.f64 re re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re)
(* re (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)
(* re (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)
(* re (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)
(* re (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)
(+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(+ 1 (+ (* -1/6 (* (pow re 2) (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))))) (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(+ 1 (+ (* -1/6 (* (pow re 2) (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))))) (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(+ 1 (+ (* -1/6 (* (pow re 2) (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))))) (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(* 1/2 (* re (+ (exp im) (/ 1 (exp im)))))
(*.f64 (*.f64 re #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* re (+ (* -1/12 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/2 (+ (exp im) (/ 1 (exp im))))))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re)
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* 1/240 (* (pow re 2) (+ (exp im) (/ 1 (exp im)))))))))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))) re)
(* re (+ (* 1/2 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/12 (+ (exp im) (/ 1 (exp im)))) (* (pow re 2) (+ (* -1/10080 (* (pow re 2) (+ (exp im) (/ 1 (exp im))))) (* 1/240 (+ (exp im) (/ 1 (exp im))))))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64))) (*.f64 (*.f64 re #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(* re (+ 1 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)
(* re (+ 1 (+ (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))) (* (pow re 2) (- (* -1/6 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) 1/6)))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re)
(* re (+ 1 (+ (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))) (* (pow re 2) (- (+ (* -1/6 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) (* (pow re 2) (+ 1/120 (* 1/120 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))))))) 1/6)))))
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(* re (+ 1 (+ (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2)))))) (* (pow re 2) (- (+ (* -1/6 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) (* (pow re 2) (+ 1/120 (+ (* 1/120 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) (* (pow re 2) (- (* -1/5040 (* (pow im 2) (+ 1/2 (* (pow im 2) (+ 1/24 (* 1/720 (pow im 2))))))) 1/5040)))))) 1/6)))))
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re
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(sin re)
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(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(+ (exp im) (exp (* -1 im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (exp (* -1 im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/720 (* (pow im 6) (sin re)))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/720 binary64)) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (+ (* 1/720 (sin re)) (* 1/24 (/ (sin re) (pow im 2)))))
(*.f64 (*.f64 (sin.f64 re) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/720 binary64))) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (+ (* 1/720 (sin re)) (+ (* 1/24 (/ (sin re) (pow im 2))) (* 1/2 (/ (sin re) (pow im 4))))))
(*.f64 (*.f64 (sin.f64 re) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 im im)))) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (+ (* 1/720 (sin re)) (+ (* 1/24 (/ (sin re) (pow im 2))) (+ (* 1/2 (/ (sin re) (pow im 4))) (/ (sin re) (pow im 6))))))
(*.f64 (*.f64 (sin.f64 re) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/720 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal 1/24 binary64) (*.f64 im im))))) (pow.f64 im #s(literal 6 binary64)))
(* 1/720 (* (pow im 6) re))
(*.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) re) #s(literal 1/720 binary64))
(* (pow im 6) (+ (* 1/720 re) (* 1/24 (/ re (pow im 2)))))
(*.f64 (*.f64 re (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/720 binary64))) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (+ (* 1/720 re) (+ (* 1/24 (/ re (pow im 2))) (* 1/2 (/ re (pow im 4))))))
(*.f64 (*.f64 re (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 im im)))) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (+ (* 1/720 re) (+ (* 1/24 (/ re (pow im 2))) (+ (* 1/2 (/ re (pow im 4))) (/ re (pow im 6))))))
(*.f64 (fma.f64 re (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 im im))) (/.f64 re (pow.f64 im #s(literal 6 binary64)))) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (+ 1/720 (* -1/4320 (pow re 2))))
(*.f64 (pow.f64 im #s(literal 6 binary64)) (fma.f64 #s(literal -1/4320 binary64) (*.f64 re re) #s(literal 1/720 binary64)))
(* (pow im 6) (+ 1/720 (+ (* -1/144 (/ (pow re 2) (pow im 2))) (+ (* -1/4320 (pow re 2)) (* 1/24 (/ 1 (pow im 2)))))))
(*.f64 (fma.f64 (*.f64 re re) (+.f64 #s(literal -1/4320 binary64) (/.f64 (/.f64 #s(literal -1/144 binary64) im) im)) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/720 binary64))) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (+ 1/720 (+ (* -1/12 (/ (pow re 2) (pow im 4))) (+ (* -1/144 (/ (pow re 2) (pow im 2))) (+ (* -1/4320 (pow re 2)) (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2)))))))))
(*.f64 (+.f64 (fma.f64 (*.f64 re re) (+.f64 (+.f64 (/.f64 #s(literal -1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal -1/144 binary64) im) im)) #s(literal -1/4320 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1/24 binary64) (*.f64 im im)))) #s(literal 1/720 binary64)) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (+ 1/720 (+ (* -1/6 (/ (pow re 2) (pow im 6))) (+ (* -1/12 (/ (pow re 2) (pow im 4))) (+ (* -1/144 (/ (pow re 2) (pow im 2))) (+ (* -1/4320 (pow re 2)) (+ (/ 1/2 (pow im 4)) (+ (* 1/24 (/ 1 (pow im 2))) (/ 1 (pow im 6))))))))))
(*.f64 (+.f64 (fma.f64 (*.f64 re re) (+.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal -1/12 binary64) (pow.f64 im #s(literal 4 binary64)))) (+.f64 #s(literal -1/4320 binary64) (/.f64 (/.f64 #s(literal -1/144 binary64) im) im))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal 1/24 binary64) (*.f64 im im))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64))))) #s(literal 1/720 binary64)) (pow.f64 im #s(literal 6 binary64)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/2 (* (sin re) (+ (exp im) (/ 1 (exp im)))))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(* 1/720 (* (pow im 6) (sin re)))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/720 binary64)) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (+ (* 1/720 (sin re)) (* 1/24 (/ (sin re) (pow im 2)))))
(*.f64 (*.f64 (sin.f64 re) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 im im)) #s(literal 1/720 binary64))) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (+ (* 1/720 (sin re)) (+ (* 1/24 (/ (sin re) (pow im 2))) (* 1/2 (/ (sin re) (pow im 4))))))
(*.f64 (*.f64 (sin.f64 re) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 im im)))) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (+ (* 1/720 (sin re)) (+ (* 1/24 (/ (sin re) (pow im 2))) (+ (* 1/2 (/ (sin re) (pow im 4))) (/ (sin re) (pow im 6))))))
(*.f64 (*.f64 (sin.f64 re) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/720 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal 1/24 binary64) (*.f64 im im))))) (pow.f64 im #s(literal 6 binary64)))
(* -1/4320 (* (pow im 6) re))
(*.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) re) #s(literal -1/4320 binary64))
(* (pow im 6) (+ (* -1/144 (/ re (pow im 2))) (* -1/4320 re)))
(*.f64 (*.f64 re (+.f64 #s(literal -1/4320 binary64) (/.f64 (/.f64 #s(literal -1/144 binary64) im) im))) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (+ (* -1/12 (/ re (pow im 4))) (+ (* -1/144 (/ re (pow im 2))) (* -1/4320 re))))
(*.f64 (*.f64 re (+.f64 (+.f64 (/.f64 #s(literal -1/12 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/4320 binary64)) (/.f64 (/.f64 #s(literal -1/144 binary64) im) im))) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (+ (* -1/6 (/ re (pow im 6))) (+ (* -1/12 (/ re (pow im 4))) (+ (* -1/144 (/ re (pow im 2))) (* -1/4320 re)))))
(fma.f64 (*.f64 re (+.f64 (+.f64 (/.f64 #s(literal -1/12 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/4320 binary64)) (/.f64 (/.f64 #s(literal -1/144 binary64) im) im))) (pow.f64 im #s(literal 6 binary64)) (*.f64 #s(literal -1/6 binary64) re))
(* 1/720 (pow im 2))
(*.f64 #s(literal 1/720 binary64) (*.f64 im im))
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
(* (pow im 2) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
(* 1/720 (pow im 4))
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/720 binary64))
(* (pow im 4) (+ 1/720 (* 1/24 (/ 1 (pow im 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im)
(* (pow im 4) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))
(* (pow im 4) (+ 1/720 (+ (/ 1/2 (pow im 4)) (* 1/24 (/ 1 (pow im 2))))))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))

rewrite196.0ms (2.6%)

Memory
-29.9MiB live, 365.6MiB allocated
Rules
6 140×lower-fma.f32
6 128×lower-fma.f64
4 130×lower-*.f32
4 108×lower-*.f64
3 966×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054486
081479
1258473
21745473
08398469
Stop Event
iter limit
node limit
iter limit
Counts
22 → 365
Calls
Call 1
Inputs
(*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(sin.f64 re)
#s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64)))
(*.f64 re #s(literal 1/2 binary64))
#s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)
(fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
#s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)
(fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal -1/6 binary64)) re) re (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal -1/6 binary64)) re) re (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re)))
#s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal -1/6 binary64)) re) re (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal -1/6 binary64)) re)
(fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64))
Outputs
(*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
(sin.f64 re)
#s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal -1 binary64)))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im)))))
(*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im)))))
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(/.f64 (neg.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/57600 binary64)))) (neg.f64 (-.f64 #s(literal -1/12 binary64) (*.f64 (*.f64 re re) #s(literal 1/240 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/57600 binary64) #s(literal -1/144 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal 1/12 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/13824000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal -1/1728 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/57600 binary64) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 re re) #s(literal -1/2880 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/57600 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal 1/12 binary64))) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal 1/12 binary64)) #s(literal 1/144 binary64))) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal 1/12 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal 1/12 binary64))))
(/.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/57600 binary64))) (-.f64 #s(literal -1/12 binary64) (*.f64 (*.f64 re re) #s(literal 1/240 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/57600 binary64) #s(literal -1/144 binary64))) (neg.f64 (fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal 1/12 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/13824000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal -1/1728 binary64))) (neg.f64 (+.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/57600 binary64)) (*.f64 (*.f64 re re) #s(literal -1/2880 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/13824000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal -1/1728 binary64))) (neg.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/57600 binary64) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 re re) #s(literal -1/2880 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal -1/12 binary64)))))
(/.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/57600 binary64) #s(literal -1/144 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal 1/12 binary64)))
(/.f64 (fma.f64 #s(literal 1/13824000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal -1/1728 binary64)) (+.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/57600 binary64)) (*.f64 (*.f64 re re) #s(literal -1/2880 binary64)))))
(/.f64 (fma.f64 #s(literal 1/13824000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal -1/1728 binary64)) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/57600 binary64) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 re re) #s(literal -1/2880 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/12 binary64) (*.f64 (*.f64 re re) #s(literal 1/240 binary64))) (-.f64 #s(literal 1/144 binary64) (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/57600 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/57600 binary64)) (*.f64 (*.f64 re re) #s(literal -1/2880 binary64)))) (fma.f64 #s(literal 1/13824000 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal -1/1728 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal -1/12 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal -1/12 binary64))))
(fma.f64 (*.f64 #s(literal 1/240 binary64) re) re #s(literal -1/12 binary64))
(fma.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/57600 binary64)) (pow.f64 (fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal 1/12 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/144 binary64) (fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal 1/12 binary64)))))
(fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal -1/12 binary64))
(fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64))
(fma.f64 re (*.f64 #s(literal 1/240 binary64) re) #s(literal -1/12 binary64))
(-.f64 (/.f64 #s(literal 1/144 binary64) (-.f64 #s(literal -1/12 binary64) (*.f64 (*.f64 re re) #s(literal 1/240 binary64)))) (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/57600 binary64)) (-.f64 #s(literal -1/12 binary64) (*.f64 (*.f64 re re) #s(literal 1/240 binary64)))))
(-.f64 (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/57600 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal 1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal 1/12 binary64))))
(+.f64 (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/57600 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal 1/12 binary64))) (neg.f64 (/.f64 #s(literal 1/144 binary64) (fma.f64 (*.f64 re re) #s(literal 1/240 binary64) #s(literal 1/12 binary64)))))
(+.f64 (*.f64 (*.f64 re re) #s(literal 1/240 binary64)) #s(literal -1/12 binary64))
(+.f64 #s(literal -1/12 binary64) (*.f64 (*.f64 re re) #s(literal 1/240 binary64)))

eval192.0ms (2.6%)

Memory
15.7MiB live, 371.8MiB allocated
Compiler

Compiled 47 889 to 4 047 computations (91.5% saved)

prune56.0ms (0.7%)

Memory
-9.1MiB live, 150.5MiB allocated
Pruning

28 alts after pruning (20 fresh and 8 done)

PrunedKeptTotal
New1 207151 222
Fresh257
Picked235
Done055
Total1 211281 239
Accuracy
100.0%
Counts
1 239 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.9%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
100.0%
(*.f64 (sin.f64 re) (cosh.f64 im))
91.4%
(*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
88.2%
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
50.1%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
37.6%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
59.6%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
37.2%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
48.6%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
49.8%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
37.0%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
58.9%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
47.9%
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
58.9%
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) re (*.f64 #s(literal 1 binary64) re))))
58.9%
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
41.7%
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))) (-.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)))))) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
58.9%
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
58.7%
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
57.3%
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
38.5%
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64))) (*.f64 re re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re)))
58.7%
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im)) (*.f64 im im) #s(literal 1 binary64)) re)))
59.6%
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 #s(approx (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) (*.f64 #s(literal -1/6 binary64) re)) re (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re)))
33.4%
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/720 binary64))) re)))
28.8%
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64)) re)))
34.7%
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) re) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64))) re)))
12.9%
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) re) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re) re) #s(literal -1/6 binary64))) re)))
33.4%
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) re) (*.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) re) #s(literal 1/720 binary64)))))
53.8%
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re))
Compiler

Compiled 1 255 to 563 computations (55.1% saved)

regimes70.0ms (0.9%)

Memory
16.8MiB live, 134.0MiB allocated
Counts
38 → 1
Calls
Call 1
Inputs
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) re) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64))) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im)) (*.f64 im im) #s(literal 1 binary64)) re)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) re (*.f64 #s(literal 1 binary64) re))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 #s(approx (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) (*.f64 #s(literal -1/6 binary64) re)) re (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) re) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re) re) #s(literal -1/6 binary64))) re)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal -1/6 binary64)) re) re (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64))) (*.f64 re re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) re) re (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) #s(literal -1/6 binary64))) (*.f64 re re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) re) (*.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) re) #s(literal 1/720 binary64)))))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/720 binary64))) re)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
#s(approx (* (* 1 (cosh im)) (sin re)) (fma.f64 #s(approx (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) re)) (*.f64 im im) (sin.f64 re)))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
(*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))) (-.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)))))) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
(*.f64 (sin.f64 re) (cosh.f64 im))
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re))
#s(approx (* (* 1 (cosh im)) (sin re)) (fma.f64 (*.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im) (sin.f64 re)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)))
Outputs
(fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)))
Calls

6 calls:

13.0ms
re
12.0ms
(sin.f64 re)
11.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
11.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
11.0ms
im
Results
AccuracySegmentsBranch
100.0%1re
100.0%1im
100.0%1(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
100.0%1(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
100.0%1(sin.f64 re)
100.0%1(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes71.0ms (0.9%)

Memory
12.0MiB live, 142.2MiB allocated
Counts
37 → 1
Calls
Call 1
Inputs
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) re) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64))) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im)) (*.f64 im im) #s(literal 1 binary64)) re)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) re (*.f64 #s(literal 1 binary64) re))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 #s(approx (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) (*.f64 #s(literal -1/6 binary64) re)) re (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) re) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re) re) #s(literal -1/6 binary64))) re)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal -1/6 binary64)) re) re (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64))) (*.f64 re re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) re) re (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) #s(literal -1/6 binary64))) (*.f64 re re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) re) (*.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) re) #s(literal 1/720 binary64)))))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/720 binary64))) re)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
#s(approx (* (* 1 (cosh im)) (sin re)) (fma.f64 #s(approx (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) re)) (*.f64 im im) (sin.f64 re)))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
(*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))) (-.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)))))) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
(*.f64 (sin.f64 re) (cosh.f64 im))
(*.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 im)) (sin.f64 re))
#s(approx (* (* 1 (cosh im)) (sin re)) (fma.f64 (*.f64 (sin.f64 re) (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64))) (*.f64 im im) (sin.f64 re)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Outputs
(*.f64 (sin.f64 re) (cosh.f64 im))
Calls

6 calls:

14.0ms
(sin.f64 re)
12.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
12.0ms
im
11.0ms
re
10.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
100.0%1re
100.0%1im
100.0%1(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
100.0%1(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
100.0%1(sin.f64 re)
100.0%1(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes64.0ms (0.9%)

Memory
-18.4MiB live, 139.4MiB allocated
Counts
33 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) re) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64))) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im)) (*.f64 im im) #s(literal 1 binary64)) re)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) re (*.f64 #s(literal 1 binary64) re))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 #s(approx (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) (*.f64 #s(literal -1/6 binary64) re)) re (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) re) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re) re) #s(literal -1/6 binary64))) re)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal -1/6 binary64)) re) re (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64))) (*.f64 re re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) re) re (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) #s(literal -1/6 binary64))) (*.f64 re re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) re) (*.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) re) #s(literal 1/720 binary64)))))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/720 binary64))) re)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
#s(approx (* (* 1 (cosh im)) (sin re)) (fma.f64 #s(approx (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) re)) (*.f64 im im) (sin.f64 re)))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
(*.f64 (sin.f64 re) #s(approx (cosh im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) #s(literal 1/720 binary64))) (-.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/518400 binary64) (pow.f64 im #s(literal 4 binary64)))))) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
Outputs
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) re) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re) re) #s(literal -1/6 binary64))) re)))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
Calls

6 calls:

12.0ms
(sin.f64 re)
11.0ms
re
10.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
10.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
10.0ms
im
Results
AccuracySegmentsBranch
91.4%1re
94.6%3im
94.7%2(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
91.4%1(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
91.4%1(sin.f64 re)
91.4%1(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes11.0ms (0.2%)

Memory
-10.7MiB live, 28.4MiB allocated
Counts
29 → 3
Calls
Call 1
Inputs
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) re) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64))) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im)) (*.f64 im im) #s(literal 1 binary64)) re)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) re (*.f64 #s(literal 1 binary64) re))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 #s(approx (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) (*.f64 #s(literal -1/6 binary64) re)) re (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) re) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re) re) #s(literal -1/6 binary64))) re)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal -1/6 binary64)) re) re (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64))) (*.f64 re re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) re) re (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) #s(literal -1/6 binary64))) (*.f64 re re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) re) (*.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) re) #s(literal 1/720 binary64)))))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/720 binary64))) re)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 im im) #s(literal 1/12 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
#s(approx (* (* 1 (cosh im)) (sin re)) (fma.f64 #s(approx (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) re)) (*.f64 im im) (sin.f64 re)))
Outputs
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) re) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re) re) #s(literal -1/6 binary64))) re)))
(*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
Calls

1 calls:

9.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
94.9%3(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes10.0ms (0.1%)

Memory
25.7MiB live, 25.7MiB allocated
Counts
26 → 3
Calls
Call 1
Inputs
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) re) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64))) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im)) (*.f64 im im) #s(literal 1 binary64)) re)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) re (*.f64 #s(literal 1 binary64) re))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 #s(approx (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) (*.f64 #s(literal -1/6 binary64) re)) re (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) re) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re) re) #s(literal -1/6 binary64))) re)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal -1/6 binary64)) re) re (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64))) (*.f64 re re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) re) re (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) #s(literal -1/6 binary64))) (*.f64 re re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) re) (*.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) re) #s(literal 1/720 binary64)))))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/720 binary64))) re)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
Outputs
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) re) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re) re) #s(literal -1/6 binary64))) re)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
Calls

1 calls:

8.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
94.7%3(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes19.0ms (0.2%)

Memory
-1.9MiB live, 41.1MiB allocated
Counts
25 → 3
Calls
Call 1
Inputs
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) re) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64))) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im)) (*.f64 im im) #s(literal 1 binary64)) re)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) re (*.f64 #s(literal 1 binary64) re))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 #s(approx (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) (*.f64 #s(literal -1/6 binary64) re)) re (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) re) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re) re) #s(literal -1/6 binary64))) re)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal -1/6 binary64)) re) re (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64))) (*.f64 re re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) re) re (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64)) #s(literal -1/6 binary64))) (*.f64 re re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) #s(approx (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) re) (*.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) re) #s(literal 1/720 binary64)))))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/720 binary64))) re)))
Outputs
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) re) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re) re) #s(literal -1/6 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
Calls

2 calls:

9.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
8.0ms
im
Results
AccuracySegmentsBranch
87.8%3im
94.5%3(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Compiler

Compiled 13 to 13 computations (0% saved)

regimes44.0ms (0.6%)

Memory
-15.2MiB live, 102.1MiB allocated
Counts
21 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) re) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64))) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im)) (*.f64 im im) #s(literal 1 binary64)) re)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) re (*.f64 #s(literal 1 binary64) re))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 #s(approx (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) (*.f64 #s(literal -1/6 binary64) re)) re (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) re) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re) re) #s(literal -1/6 binary64))) re)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) #s(literal -1/6 binary64)) re) re (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal -1/6 binary64))) (*.f64 re re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re)))
Outputs
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) re) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re) re) #s(literal -1/6 binary64))) re)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) re (*.f64 #s(literal 1 binary64) re))))
Calls

6 calls:

8.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
7.0ms
im
7.0ms
re
7.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
7.0ms
(sin.f64 re)
Results
AccuracySegmentsBranch
62.5%2im
70.2%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
70.2%2(sin.f64 re)
59.6%1(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
59.6%1re
70.2%2(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes20.0ms (0.3%)

Memory
3.9MiB live, 45.7MiB allocated
Counts
17 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) re) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64))) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im)) (*.f64 im im) #s(literal 1 binary64)) re)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) re (*.f64 #s(literal 1 binary64) re))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 #s(approx (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) (*.f64 #s(literal -1/6 binary64) re)) re (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
Outputs
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im)) (*.f64 im im) #s(literal 1 binary64)) re)))
Calls

3 calls:

7.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
6.0ms
(sin.f64 re)
5.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
69.8%2(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
69.8%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
69.8%2(sin.f64 re)
Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes19.0ms (0.3%)

Memory
5.5MiB live, 44.5MiB allocated
Counts
16 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) re) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64))) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im)) (*.f64 im im) #s(literal 1 binary64)) re)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) re (*.f64 #s(literal 1 binary64) re))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 #s(approx (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) (*.f64 #s(literal -1/6 binary64) re)) re (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) re)))
Outputs
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) re (*.f64 #s(literal 1 binary64) re))))
Calls

3 calls:

7.0ms
(sin.f64 re)
6.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
5.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
68.7%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
68.7%2(sin.f64 re)
68.7%2(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes17.0ms (0.2%)

Memory
-1.4MiB live, 38.2MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) re) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64))) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im)) (*.f64 im im) #s(literal 1 binary64)) re)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) re (*.f64 #s(literal 1 binary64) re))))
Outputs
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) re (*.f64 #s(literal 1 binary64) re))))
Calls

3 calls:

6.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
5.0ms
(sin.f64 re)
5.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
68.4%2(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
68.4%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
68.4%2(sin.f64 re)
Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes16.0ms (0.2%)

Memory
-1.9MiB live, 37.4MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) re) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64))) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im)) (*.f64 im im) #s(literal 1 binary64)) re)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
Outputs
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
Calls

3 calls:

6.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
5.0ms
(sin.f64 re)
4.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
68.4%2(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
68.4%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
68.4%2(sin.f64 re)
Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes19.0ms (0.3%)

Memory
-7.7MiB live, 33.8MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) re) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64))) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im)) (*.f64 im im) #s(literal 1 binary64)) re)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) (*.f64 #s(literal 1/720 binary64) (*.f64 im im))) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
Outputs
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im)) (*.f64 im im) #s(literal 1 binary64)) re)))
Calls

3 calls:

10.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
4.0ms
(sin.f64 re)
4.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
68.3%2(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
68.2%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
68.2%2(sin.f64 re)
Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes12.0ms (0.2%)

Memory
-13.1MiB live, 26.4MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) re) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64))) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 #s(approx (+ (* 1/240 (* re re)) -1/12) (*.f64 #s(literal 1/240 binary64) (*.f64 re re))) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
Outputs
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
Calls

3 calls:

4.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
3.0ms
(sin.f64 re)
3.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
66.8%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
66.8%2(sin.f64 re)
66.8%2(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes8.0ms (0.1%)

Memory
20.8MiB live, 20.8MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) re) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64))) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
Outputs
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) re) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64))) re)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))
Calls

3 calls:

3.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
3.0ms
(sin.f64 re)
2.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
64.2%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
64.2%2(sin.f64 re)
64.2%2(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Compiler

Compiled 18 to 19 computations (-5.6% saved)

regimes14.0ms (0.2%)

Memory
-4.3MiB live, 35.2MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) re) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64))) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
Outputs
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) re) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64))) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))))
Calls

6 calls:

3.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
2.0ms
(sin.f64 re)
2.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
2.0ms
re
2.0ms
im
Results
AccuracySegmentsBranch
47.9%1re
47.9%1(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
50.1%2im
54.8%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
54.8%2(sin.f64 re)
54.8%2(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes13.0ms (0.2%)

Memory
-9.2MiB live, 30.1MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) re) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64))) re)))
Outputs
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) re) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64))) re)))
Calls

6 calls:

3.0ms
re
2.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
2.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
2.0ms
im
2.0ms
(sin.f64 re)
Results
AccuracySegmentsBranch
34.7%1(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
34.7%1re
34.7%1im
34.7%1(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
34.7%1(sin.f64 re)
34.7%1(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Compiler

Compiled 27 to 30 computations (-11.1% saved)

regimes10.0ms (0.1%)

Memory
28.5MiB live, 28.5MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64)) re)))
(*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)))
Outputs
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64)) re)))
Calls

6 calls:

2.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
2.0ms
(sin.f64 re)
2.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
1.0ms
re
1.0ms
im
Results
AccuracySegmentsBranch
28.8%1(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
28.8%1(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
28.8%1(sin.f64 re)
28.8%1re
28.8%1(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
28.8%1im
Compiler

Compiled 27 to 30 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-inf
-0.9989343328387699
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9997728765267188
+inf
0.0ms
-inf
-0.9989343328387699
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch2.0ms (0%)

Memory
-39.8MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9997728765267188
+inf
0.0ms
-inf
-0.9989343328387699
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9997728765267188
+inf
0.0ms
-inf
-0.9989343328387699
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.07889511163582659
2.884350533078924e-299
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.005782585572381789
0.13952435844388233
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.036772372132734245
2.884350533078924e-299
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.036772372132734245
2.884350533078924e-299
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.036772372132734245
2.884350533078924e-299
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.005782585572381789
0.13952435844388233
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.005782585572381789
0.13952435844388233
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.07889511163582659
2.884350533078924e-299
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.005782585572381789
0.13952435844388233
Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify31.0ms (0.4%)

Memory
1.7MiB live, 80.2MiB allocated
Algorithm
egg-herbie
Rules
58×*-commutative-binary64-*.f64
+-commutative-binary64-+.f64
1-exp-binary32-exp.f32
1-exp-binary64-exp.f64
neg-sub0-binary64--.f64-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01451891
11811891
21831891
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)))
(*.f64 (sin.f64 re) (cosh.f64 im))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) #s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) re) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re) re) #s(literal -1/6 binary64))) re))) (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) #s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) re) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re) re) #s(literal -1/6 binary64))) re))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 1 binary64)) (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) #s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) #s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) re) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re) re) #s(literal -1/6 binary64))) re))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) #s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) re) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re) re) #s(literal -1/6 binary64))) re))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 1 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re)) #s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) re) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re) re) #s(literal -1/6 binary64))) re))) #s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) re (*.f64 #s(literal 1 binary64) re)))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im)) (*.f64 im im) #s(literal 1 binary64)) re))))
(if (<=.f64 (sin.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) #s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) re (*.f64 #s(literal 1 binary64) re)))))
(if (<=.f64 (sin.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) re (*.f64 #s(literal 1 binary64) re)))))
(if (<=.f64 (sin.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im)) (*.f64 im im) #s(literal 1 binary64)) re))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) re) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64))) re))) #s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 5764607523034235/576460752303423488 binary64)) #s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) re) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64))) re))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) re) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64))) re)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64)) re)))
Outputs
(fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (sin.f64 re)))
(*.f64 (sin.f64 re) (cosh.f64 im))
(*.f64 (cosh.f64 im) (sin.f64 re))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) #s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) re) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re) re) #s(literal -1/6 binary64))) re))) (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)))
(if (<=.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))) #s(literal -inf.0 binary64)) #s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) re) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re) re) #s(literal -1/6 binary64))) re))) (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)))
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(if (<=.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))) #s(literal -inf.0 binary64)) #s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) re) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re) re) #s(literal -1/6 binary64))) re))) (if (<=.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))) #s(literal 1 binary64)) (*.f64 #s(approx (* 1 (cosh im)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64))) (sin.f64 re)) #s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) #s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) re) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re) re) #s(literal -1/6 binary64))) re))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))))
(if (<=.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))) #s(literal -inf.0 binary64)) #s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) re) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re) re) #s(literal -1/6 binary64))) re))) (if (<=.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))) #s(literal 1 binary64)) (*.f64 #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))) #s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -inf.0 binary64)) #s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) re) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re) re) #s(literal -1/6 binary64))) re))) (if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 1 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re)) #s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))))
(if (<=.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))) #s(literal -inf.0 binary64)) #s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) re) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re) re) #s(literal -1/6 binary64))) re))) (if (<=.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))) #s(literal 1 binary64)) #s(approx (* (* 1/2 (sin re)) (+ (exp (- 0 im)) (exp im))) (sin.f64 re)) #s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re)))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) re) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re) re) #s(literal -1/6 binary64))) re))) #s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) re (*.f64 #s(literal 1 binary64) re)))))
(if (<=.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) re) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re) re) #s(literal -1/6 binary64))) re))) #s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) re re))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im)) (*.f64 im im) #s(literal 1 binary64)) re))))
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(if (<=.f64 (sin.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64))) #s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) re (*.f64 #s(literal 1 binary64) re)))))
(if (<=.f64 (sin.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (+ (exp (- 0 im)) (exp im)) #s(literal 2 binary64)) #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 re re) #s(literal 1/240 binary64)) (*.f64 re re) #s(literal -1/12 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) re))) #s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) re re))))
(if (<=.f64 (sin.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) re (*.f64 #s(literal 1 binary64) re)))))
(if (<=.f64 (sin.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) im) im) re re))))
(if (<=.f64 (sin.f64 re) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im)) (*.f64 im im) #s(literal 1 binary64)) re))))
(if (<=.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))) #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 im im) #s(literal 1/24 binary64)) im) im)) (*.f64 im im) #s(literal 1 binary64)) re))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re))))
(if (<=.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))) #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))) #s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) re) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64))) re))) #s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re))))
(if (<=.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) re) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64))) re))) #s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/720 (* im im)) 1/24) #s(literal 1/24 binary64)) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 im im) #s(literal 1 binary64)) re))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))) #s(literal 5764607523034235/576460752303423488 binary64)) #s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) re) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64))) re))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 re #s(literal 1/2 binary64))) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))
(if (<=.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))) #s(literal 5764607523034235/576460752303423488 binary64)) #s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) re) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64))) re))) (*.f64 #s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re)) #s(approx (+ (exp (- 0 im)) (exp im)) (fma.f64 im im #s(literal 2 binary64)))))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (* (* (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) -1/6) re) re) (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 re re) #s(literal 1 binary64))) re)))
#s(approx (* (* 1 (cosh im)) (sin re)) #s(approx (+ (* (* (sin re) (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2)) (* im im)) (sin re)) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/720 (* im im)) 1/24) (* im im)) 1/2) (* im im)) 1) #s(literal 1 binary64)) re)))

soundness1.7s (22.5%)

Memory
20.5MiB live, 1 608.8MiB allocated
Rules
18 460×lower-fma.f64
18 460×lower-fma.f32
17 064×lower-fma.f64
17 064×lower-fma.f32
15 280×lower-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02996
04579
113769
277369
0839669
02664251
19164076
228173926
379193910
082933655
01134
01830
15926
239724
0441624
0130701
1419669
21291653
34306636
45262636
55828636
66463636
77750636
08037596
02602267
18682130
224332095
345462053
449882053
552492053
656322053
767982053
081091951
03525978
111925822
236735438
348915329
466845325
085444905
054486
081479
1258473
21745473
08398469
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 1 578 to 839 computations (46.8% saved)

preprocess142.0ms (1.9%)

Memory
22.6MiB live, 334.9MiB allocated
Remove

(negabs re)

Compiler

Compiled 1 830 to 452 computations (75.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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