math.sin on complex, imaginary part

Time bar (total: 10.6s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
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)

sample2.5s (23.9%)

Memory
1.6MiB live, 1 541.5MiB allocated; 423ms collecting garbage
Samples
995.0ms1 704×2valid
588.0ms4 215×0valid
552.0ms2 337×1valid
Precisions
Click to see histograms. Total time spent on operations: 1.8s
ival-exp: 1.1s (60.8% of total)
ival-cos: 366.0ms (20.1% of total)
ival-mult!: 169.0ms (9.3% of total)
adjust: 119.0ms (6.5% of total)
ival-sub!: 58.0ms (3.2% of total)
Bogosity

preprocess62.0ms (0.6%)

Memory
18.6MiB live, 18.6MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03070
113355
256734
3381234
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.5%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Symmetry

(abs re)

(negabs im)

Compiler

Compiled 22 to 22 computations (0% saved)

series168.0ms (1.6%)

Memory
-2.9MiB live, 39.4MiB allocated; 12ms collecting garbage
Counts
11 → 38
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.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
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(literal 1/48 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos re)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
#s(approx (* 1/2 (cos re)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
#s(approx (* 1/2 (cos re)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/4 binary64)))))
#s(approx (cos re) #s(literal 1 binary64))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx re re)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
#s(approx (* 1/2 (cos re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
#s(approx (cos re) (cos.f64 re))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (cos.f64 re) (*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) (cos.f64 re) (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))))))
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 #s(literal -2 binary64) im))
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
#s(approx (- (exp (- 0 im)) (exp im)) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
#s(approx (exp (- 0 im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im)))
#s(approx (exp (- 0 im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)))))
#s(approx (exp (- 0 im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))))
#s(approx (- 0 im) (*.f64 #s(literal -1 binary64) im))
#s(approx im im)
#s(approx (exp im) (+.f64 #s(literal 1 binary64) im))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))))
#s(approx (- (exp (- 0 im)) (exp im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (exp (- 0 im)) (exp.f64 (neg.f64 im)))
#s(approx (exp im) (exp.f64 im))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))))
#s(approx (- (exp (- 0 im)) (exp im)) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))
#s(approx (exp (- 0 im)) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
Calls

6 calls:

TimeVariablePointExpression
23.0ms
re
@inf
((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) 1/2 (cos re) re (- (exp (- 0 im)) (exp im)) (exp (- 0 im)) (- 0 im) 0 im (exp im))
2.0ms
im
@0
((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) 1/2 (cos re) re (- (exp (- 0 im)) (exp im)) (exp (- 0 im)) (- 0 im) 0 im (exp im))
2.0ms
im
@inf
((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) 1/2 (cos re) re (- (exp (- 0 im)) (exp im)) (exp (- 0 im)) (- 0 im) 0 im (exp im))
2.0ms
im
@-inf
((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) 1/2 (cos re) re (- (exp (- 0 im)) (exp im)) (exp (- 0 im)) (- 0 im) 0 im (exp im))
2.0ms
re
@-inf
((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) 1/2 (cos re) re (- (exp (- 0 im)) (exp im)) (exp (- 0 im)) (- 0 im) 0 im (exp im))

rewrite900.0ms (8.5%)

Memory
-23.6MiB live, 732.0MiB allocated; 268ms collecting garbage
Counts
11 → 286
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.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) (cos.f64 re)) (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im)))
(*.f64 (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(*.f64 (*.f64 (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im)) #s(literal 1/2 binary64)) (cos.f64 re))
(*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 (sinh.f64 im) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im)) (cos.f64 re)))
(*.f64 (cos.f64 re) (*.f64 (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64)) (neg.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (neg.f64 (exp.f64 im))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (neg.f64 (exp.f64 im))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im)))
(+.f64 (*.f64 (*.f64 (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im)) #s(literal 1/2 binary64)) (*.f64 (sin.f64 re) #s(literal 0 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 re) #s(literal 1 binary64))))
(+.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im)) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (cosh.f64 im) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 (-.f64 (sinh.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (cosh.f64 im)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (sinh.f64 (neg.f64 im)) (exp.f64 im))))
(-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im)) (*.f64 (exp.f64 im) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im)) (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (neg.f64 (exp.f64 im))))
(-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im)) (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (neg.f64 (exp.f64 im)))))
(fma.f64 (*.f64 (neg.f64 (exp.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im)))
(fma.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (cos.f64 re) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (neg.f64 (exp.f64 im))))
(fma.f64 (*.f64 (neg.f64 (exp.f64 im)) #s(literal 1/2 binary64)) (cos.f64 re) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 1 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (neg.f64 (exp.f64 im))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (exp.f64 im)) (cos.f64 re)) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (neg.f64 (exp.f64 im))))
(fma.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (neg.f64 (exp.f64 im))))
(fma.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 im))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im)))
(fma.f64 (/.f64 (cos.f64 re) (exp.f64 im)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (neg.f64 (exp.f64 im))))
(fma.f64 (exp.f64 (neg.f64 im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (neg.f64 (exp.f64 im))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (exp.f64 im)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (neg.f64 (exp.f64 im))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (neg.f64 (exp.f64 im))))
(fma.f64 (neg.f64 (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (neg.f64 (exp.f64 im)) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (exp.f64 im)))
(fma.f64 (*.f64 (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im)) #s(literal 1/2 binary64)) (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 re) #s(literal 1 binary64))))
(fma.f64 (cosh.f64 im) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (-.f64 (sinh.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(fma.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im)) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (cosh.f64 im) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (sinh.f64 (neg.f64 im)) (exp.f64 im))))
(neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (sinh.f64 im) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) #s(literal 0 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) #s(literal 1 binary64))))
(fma.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 (cos.f64 re) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) #s(literal 1 binary64))))
#s(literal 1/2 binary64)
(+.f64 (*.f64 (cos.f64 re) #s(literal 1 binary64)) (*.f64 (sin.f64 re) #s(literal 0 binary64)))
(+.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 1 binary64)))
(+.f64 (*.f64 (sin.f64 (fabs.f64 re)) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 1 binary64)))
(+.f64 (*.f64 (sin.f64 (neg.f64 re)) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 1 binary64)))
(-.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (neg.f64 (*.f64 (cos.f64 re) #s(literal 1 binary64))))
(-.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (neg.f64 (cos.f64 re)) #s(literal 1 binary64)))
(-.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) (sin.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))
(cos.f64 re)
(cos.f64 (fabs.f64 re))
(cos.f64 (neg.f64 re))
(cos.f64 (neg.f64 (fabs.f64 re)))
(cos.f64 (neg.f64 (neg.f64 (fabs.f64 re))))
(fma.f64 (sin.f64 (fabs.f64 re)) #s(literal 0 binary64) (*.f64 (cos.f64 re) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (neg.f64 re)) #s(literal 0 binary64) (*.f64 (cos.f64 re) #s(literal 1 binary64)))
(fma.f64 (sin.f64 re) #s(literal 0 binary64) (*.f64 (cos.f64 re) #s(literal 1 binary64)))
(fma.f64 (cos.f64 re) #s(literal 1 binary64) (*.f64 (sin.f64 re) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 re) (*.f64 (sin.f64 re) #s(literal 0 binary64)))
(fma.f64 #s(literal 0 binary64) (sin.f64 re) (*.f64 (cos.f64 re) #s(literal 1 binary64)))
(sin.f64 (+.f64 (fabs.f64 re) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 re)))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) re))
(sin.f64 (+.f64 (neg.f64 (fabs.f64 re)) (/.f64 (PI.f64) #s(literal 2 binary64))))
re
(neg.f64 (neg.f64 re))
(*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im))
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(fma.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (cosh.f64 im))
(fma.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 im) #s(literal 2 binary64)) (cosh.f64 im))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (sinh.f64 (neg.f64 im))))
(fma.f64 #s(literal 1 binary64) (cosh.f64 im) (-.f64 #s(literal 0 binary64) (sinh.f64 (neg.f64 im))))
(fma.f64 (cosh.f64 im) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sinh.f64 (neg.f64 im))))
(neg.f64 (neg.f64 (exp.f64 im)))
(pow.f64 (exp.f64 (+.f64 im im)) #s(literal 1/2 binary64))
(sqrt.f64 (exp.f64 (+.f64 im im)))

eval73.0ms (0.7%)

Memory
-15.3MiB live, 129.6MiB allocated; 24ms collecting garbage
Compiler

Compiled 2 424 to 1 243 computations (48.7% saved)

prune8.0ms (0.1%)

Memory
23.0MiB live, 23.0MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New3115316
Fresh000
Picked101
Done000
Total3125317
Accuracy
99.9%
Counts
317 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(*.f64 (*.f64 (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64))
41.2%
(*.f64 #s(approx (* 1/2 (cos re)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
81.6%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))
40.4%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
50.6%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re))))
Compiler

Compiled 168 to 166 computations (1.2% saved)

series342.0ms (3.2%)

Memory
-21.6MiB live, 364.0MiB allocated; 102ms collecting garbage
Counts
37 → 93
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im)) (cos.f64 re))
(*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im))
(neg.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sinh.f64 im)
im
(cos.f64 re)
re
#s(literal 1/2 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
(exp.f64 im)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re))))
(*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))
#s(literal -1 binary64)
(*.f64 im (cos.f64 re))
(*.f64 #s(approx (* 1/2 (cos re)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
#s(approx (* 1/2 (cos re)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))
(*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))
#s(literal -1/4 binary64)
(pow.f64 re #s(literal 2 binary64))
(-.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)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))
(*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
#s(literal -1/6 binary64)
(*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(pow.f64 im #s(literal 2 binary64))
Outputs
#s(approx (* (* (* (neg 2) (sinh im)) (cos re)) 1/2) (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
#s(approx (* (* (* (neg 2) (sinh im)) (cos re)) 1/2) (fma.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))))
#s(approx (* (* (* (neg 2) (sinh im)) (cos re)) 1/2) (fma.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/4 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))))
#s(approx (* (* (* (neg 2) (sinh im)) (cos re)) 1/2) (fma.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (*.f64 #s(literal 1/1440 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))))))))
#s(approx (* (* (neg 2) (sinh im)) (cos re)) (*.f64 #s(literal -1 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
#s(approx (* (* (neg 2) (sinh im)) (cos re)) (fma.f64 #s(literal -1 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))))
#s(approx (* (* (neg 2) (sinh im)) (cos re)) (fma.f64 #s(literal -1 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))))
#s(approx (* (* (neg 2) (sinh im)) (cos re)) (fma.f64 #s(literal -1 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/24 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))))))))
#s(approx (cos re) #s(literal 1 binary64))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx re re)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(literal 1/48 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))))
#s(approx (* -1 (* im (cos re))) (*.f64 #s(literal -1 binary64) im))
#s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))
#s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/24 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) im)))))
#s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/24 binary64) im (*.f64 #s(literal 1/720 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))))))
#s(approx (* im (cos re)) im)
#s(approx (* im (cos re)) (+.f64 im (*.f64 #s(literal -1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))
#s(approx (* im (cos re)) (+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) im (*.f64 #s(literal 1/24 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (* im (cos re)) (+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) im)))))))
#s(approx (* 1/2 (cos re)) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos re)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
#s(approx (* 1/2 (cos re)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
#s(approx (* 1/2 (cos re)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/4 binary64)))))
#s(approx (* -1/4 (pow re 2)) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))
#s(approx (pow re 2) (pow.f64 re #s(literal 2 binary64)))
#s(approx (* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re))))) (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re))))) (fma.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))))
#s(approx (* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re))))) (fma.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/144 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/24 binary64))) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re))))) (fma.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal 1/4320 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 im (-.f64 (*.f64 #s(literal -1/144 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/24 binary64)))))))))
#s(approx (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
#s(approx (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))) (-.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))))) #s(literal 1 binary64)))
#s(approx (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))) (-.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/144 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/24 binary64))))))) #s(literal 1 binary64)))
#s(approx (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))) (-.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/144 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal 1/4320 binary64) (pow.f64 im #s(literal 2 binary64)))))) #s(literal 1/24 binary64))))))) #s(literal 1 binary64)))
#s(approx (* -1/6 (* (pow im 2) (cos re))) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (* -1/6 (* (pow im 2) (cos re))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (* -1/6 (* (pow im 2) (cos re))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/144 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (* -1/6 (* (pow im 2) (cos re))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/144 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/4320 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))))
#s(approx (* (pow im 2) (cos re)) (pow.f64 im #s(literal 2 binary64)))
#s(approx (* (pow im 2) (cos re)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64))))
#s(approx (* (pow im 2) (cos re)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (pow.f64 im #s(literal 2 binary64))))
#s(approx (* (pow im 2) (cos re)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) (pow.f64 im #s(literal 2 binary64))))
#s(approx (* (* (* (neg 2) (sinh im)) (cos re)) 1/2) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))
#s(approx (* (* (neg 2) (sinh im)) (cos re)) (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 re) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))
#s(approx (cos re) (cos.f64 re))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
#s(approx (* -1 (* im (cos re))) (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re))))
#s(approx (* im (cos re)) (*.f64 im (cos.f64 re)))
#s(approx (* 1/2 (cos re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
#s(approx (+ 1/2 (* -1/4 (pow re 2))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1/4 binary64))))
#s(approx (* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re))))) (*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))
#s(approx (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))) (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
#s(approx (* -1/6 (* (pow im 2) (cos re))) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
#s(approx (* (pow im 2) (cos re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
#s(approx (* (* (* (neg 2) (sinh im)) (cos re)) 1/2) (*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (cos.f64 re) (*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))))
#s(approx (* (* (* (neg 2) (sinh im)) (cos re)) 1/2) (*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) (cos.f64 re) (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))))))
#s(approx (* (* (neg 2) (sinh im)) (cos re)) (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re))))
#s(approx (* (* (neg 2) (sinh im)) (cos re)) (*.f64 im (fma.f64 #s(literal -2 binary64) (cos.f64 re) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))
#s(approx (* (* (neg 2) (sinh im)) (cos re)) (*.f64 im (fma.f64 #s(literal -2 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (cos.f64 re) (*.f64 #s(literal -1/60 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))))
#s(approx (* (* (neg 2) (sinh im)) (cos re)) (*.f64 im (fma.f64 #s(literal -2 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/60 binary64) (cos.f64 re) (*.f64 #s(literal -1/2520 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))))))
#s(approx (* (neg 2) (sinh im)) (*.f64 #s(literal -2 binary64) im))
#s(approx (* (neg 2) (sinh im)) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))
#s(approx (* (neg 2) (sinh im)) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
#s(approx (* (neg 2) (sinh im)) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
#s(approx (sinh im) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (sinh im) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (sinh im) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) (pow.f64 im #s(literal 2 binary64))))))))))
#s(approx (* 1/2 (- (exp (neg im)) (exp im))) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (* 1/2 (- (exp (neg im)) (exp im))) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im)))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)))))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) im))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))))
#s(approx (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))) (*.f64 #s(literal -1 binary64) (cos.f64 re)))
#s(approx (sinh im) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
#s(approx (- (exp (neg im)) (exp im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (exp (neg im)) (exp.f64 (neg.f64 im)))
#s(approx (exp im) (exp.f64 im))
#s(approx (* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re))))) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (cos.f64 re))))
#s(approx (* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re))))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal -1/6 binary64) (cos.f64 re)))))
#s(approx (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal -1/6 binary64) (cos.f64 re)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))))
#s(approx (* 1/2 (- (exp (neg im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))))
#s(approx (- (exp (neg im)) (exp im)) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))
#s(approx (exp (neg im)) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
#s(approx (* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re))))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (cos.f64 re) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))))
Calls

6 calls:

TimeVariablePointExpression
9.0ms
im
@-inf
((* (* (* (neg 2) (sinh im)) (cos re)) 1/2) (* (* (neg 2) (sinh im)) (cos re)) (* (neg 2) (sinh im)) (neg 2) 2 (sinh im) im (cos re) re 1/2 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (- (exp (neg im)) (exp im))) (- (exp (neg im)) (exp im)) (exp (neg im)) (neg im) (exp im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* -1 (* im (cos re))) -1 (* im (cos re)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ 1/2 (* -1/4 (pow re 2))) (* -1/4 (pow re 2)) -1/4 (pow re 2) (- (exp (- 0 im)) (exp im)) (exp (- 0 im)) (- 0 im) 0 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re))))) (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))) (* -1/6 (* (pow im 2) (cos re))) -1/6 (* (pow im 2) (cos re)) (pow im 2))
7.0ms
re
@inf
((* (* (* (neg 2) (sinh im)) (cos re)) 1/2) (* (* (neg 2) (sinh im)) (cos re)) (* (neg 2) (sinh im)) (neg 2) 2 (sinh im) im (cos re) re 1/2 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (- (exp (neg im)) (exp im))) (- (exp (neg im)) (exp im)) (exp (neg im)) (neg im) (exp im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* -1 (* im (cos re))) -1 (* im (cos re)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ 1/2 (* -1/4 (pow re 2))) (* -1/4 (pow re 2)) -1/4 (pow re 2) (- (exp (- 0 im)) (exp im)) (exp (- 0 im)) (- 0 im) 0 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re))))) (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))) (* -1/6 (* (pow im 2) (cos re))) -1/6 (* (pow im 2) (cos re)) (pow im 2))
5.0ms
im
@0
((* (* (* (neg 2) (sinh im)) (cos re)) 1/2) (* (* (neg 2) (sinh im)) (cos re)) (* (neg 2) (sinh im)) (neg 2) 2 (sinh im) im (cos re) re 1/2 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (- (exp (neg im)) (exp im))) (- (exp (neg im)) (exp im)) (exp (neg im)) (neg im) (exp im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* -1 (* im (cos re))) -1 (* im (cos re)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ 1/2 (* -1/4 (pow re 2))) (* -1/4 (pow re 2)) -1/4 (pow re 2) (- (exp (- 0 im)) (exp im)) (exp (- 0 im)) (- 0 im) 0 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re))))) (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))) (* -1/6 (* (pow im 2) (cos re))) -1/6 (* (pow im 2) (cos re)) (pow im 2))
4.0ms
im
@inf
((* (* (* (neg 2) (sinh im)) (cos re)) 1/2) (* (* (neg 2) (sinh im)) (cos re)) (* (neg 2) (sinh im)) (neg 2) 2 (sinh im) im (cos re) re 1/2 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (- (exp (neg im)) (exp im))) (- (exp (neg im)) (exp im)) (exp (neg im)) (neg im) (exp im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* -1 (* im (cos re))) -1 (* im (cos re)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ 1/2 (* -1/4 (pow re 2))) (* -1/4 (pow re 2)) -1/4 (pow re 2) (- (exp (- 0 im)) (exp im)) (exp (- 0 im)) (- 0 im) 0 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re))))) (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))) (* -1/6 (* (pow im 2) (cos re))) -1/6 (* (pow im 2) (cos re)) (pow im 2))
4.0ms
re
@0
((* (* (* (neg 2) (sinh im)) (cos re)) 1/2) (* (* (neg 2) (sinh im)) (cos re)) (* (neg 2) (sinh im)) (neg 2) 2 (sinh im) im (cos re) re 1/2 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (- (exp (neg im)) (exp im))) (- (exp (neg im)) (exp im)) (exp (neg im)) (neg im) (exp im) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* -1 (* im (cos re))) -1 (* im (cos re)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (cos re)) (+ 1/2 (* -1/4 (pow re 2))) (* -1/4 (pow re 2)) -1/4 (pow re 2) (- (exp (- 0 im)) (exp im)) (exp (- 0 im)) (- 0 im) 0 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re))))) (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re)))) (* -1/6 (* (pow im 2) (cos re))) -1/6 (* (pow im 2) (cos re)) (pow im 2))

rewrite1.4s (12.9%)

Memory
47.8MiB live, 793.8MiB allocated; 208ms collecting garbage
Counts
37 → 1 233
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im)) (cos.f64 re))
(*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im))
(neg.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sinh.f64 im)
im
(cos.f64 re)
re
#s(literal 1/2 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
(exp.f64 im)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re))))
(*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))
#s(literal -1 binary64)
(*.f64 im (cos.f64 re))
(*.f64 #s(approx (* 1/2 (cos re)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
#s(approx (* 1/2 (cos re)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))
(*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))
#s(literal -1/4 binary64)
(pow.f64 re #s(literal 2 binary64))
(-.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)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))
(*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
#s(literal -1/6 binary64)
(*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))
(pow.f64 im #s(literal 2 binary64))
Outputs
(*.f64 (*.f64 (cos.f64 re) (sinh.f64 im)) (neg.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (*.f64 (cos.f64 re) (sinh.f64 im)))
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im)))
(*.f64 (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (cos.f64 re) (neg.f64 #s(literal 2 binary64))) (*.f64 (sinh.f64 im) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sinh.f64 im)) (*.f64 (cos.f64 re) (neg.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im))) (cos.f64 re))
(*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (sinh.f64 (neg.f64 im)))
(*.f64 (*.f64 (*.f64 (cos.f64 re) (sinh.f64 im)) #s(literal 1/2 binary64)) (neg.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (cos.f64 re)) (sinh.f64 im))
(*.f64 (neg.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (sinh.f64 im) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (neg.f64 #s(literal 2 binary64)))) (sinh.f64 im))
(*.f64 (neg.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 re) (sinh.f64 im)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im)) (cos.f64 re)))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im))))
(*.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64)) (neg.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (neg.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(*.f64 (sinh.f64 im) (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (cos.f64 re)))
(*.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (cos.f64 re))))
(+.f64 (/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (neg.f64 (exp.f64 im))))
(+.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (neg.f64 (exp.f64 im))) (/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im))) (*.f64 (sin.f64 re) #s(literal 0 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im))) (*.f64 (cos.f64 re) #s(literal 1 binary64))))
(+.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im)))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im)))))
(+.f64 (*.f64 (cosh.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (-.f64 (sinh.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (cosh.f64 im)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (-.f64 (sinh.f64 (neg.f64 im)) (exp.f64 im))))
(-.f64 (/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (*.f64 (exp.f64 im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (*.f64 (neg.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (neg.f64 (exp.f64 im))))
(-.f64 (/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (neg.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (neg.f64 (exp.f64 im)))))
(/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im)) #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (*.f64 (*.f64 (cos.f64 re) (sinh.f64 im)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im)) (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (cos.f64 re))) (neg.f64 #s(literal 2 binary64)))
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#s(literal -1/6 binary64)
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(neg.f64 (*.f64 (neg.f64 im) im))
(neg.f64 (*.f64 im (neg.f64 im)))
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eval165.0ms (1.6%)

Memory
-9.2MiB live, 169.7MiB allocated; 48ms collecting garbage
Compiler

Compiled 11 328 to 5 303 computations (53.2% saved)

prune35.0ms (0.3%)

Memory
1.4MiB live, 47.2MiB allocated; 6ms collecting garbage
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1 280121 292
Fresh000
Picked415
Done000
Total1 284131 297
Accuracy
99.9%
Counts
1 297 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(*.f64 (*.f64 (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64))
63.4%
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re #s(literal -1/4 binary64)) re #s(literal 1/2 binary64))) (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im)))
81.5%
#s(approx (* (* (neg (* 1/2 2)) (cos re)) (sinh im)) (*.f64 (*.f64 im (cos.f64 re)) (fma.f64 (*.f64 im #s(literal -1/6 binary64)) im #s(literal -1 binary64))))
50.6%
#s(approx (* (* (neg (* 1/2 2)) (cos re)) (sinh im)) (*.f64 (neg.f64 im) (cos.f64 re)))
64.5%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im)) #s(literal 1/2 binary64)))
81.6%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) (cos.f64 re))) (cos.f64 re))))
40.4%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (sqrt.f64 (exp.f64 (+.f64 im im))))))
5.2%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
40.1%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (exp.f64 im))))
29.8%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 re (PI.f64))))))))
29.3%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) #s(approx (* im (cos re)) im)))
51.0%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re))))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal -1/6 binary64) (cos.f64 re))))))
39.3%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))
Compiler

Compiled 508 to 492 computations (3.1% saved)

series320.0ms (3%)

Memory
-3.1MiB live, 89.2MiB allocated; 45ms collecting garbage
Counts
36 → 87
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) (cos.f64 re))) (cos.f64 re))))
(*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) (cos.f64 re))) (cos.f64 re)))
im
(-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) (cos.f64 re))) (cos.f64 re))
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) (cos.f64 re)))
#s(literal -1/6 binary64)
(*.f64 (*.f64 im im) (cos.f64 re))
(*.f64 im im)
(cos.f64 re)
re
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) #s(approx (* im (cos re)) im)))
(*.f64 #s(literal -1 binary64) #s(approx (* im (cos re)) im))
#s(literal -1 binary64)
#s(approx (* im (cos re)) im)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
#s(literal 1/2 binary64)
(-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))
(exp.f64 (neg.f64 im))
(neg.f64 im)
#s(approx (exp im) (+.f64 #s(literal 1 binary64) im))
(+.f64 #s(literal 1 binary64) im)
#s(literal 1 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))
(fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))
(*.f64 im (pow.f64 re #s(literal 2 binary64)))
(pow.f64 re #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (sqrt.f64 (exp.f64 (+.f64 im im))))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (sqrt.f64 (exp.f64 (+.f64 im im)))))
(-.f64 (exp.f64 (neg.f64 im)) (sqrt.f64 (exp.f64 (+.f64 im im))))
(sqrt.f64 (exp.f64 (+.f64 im im)))
(exp.f64 (+.f64 im im))
(+.f64 im im)
Outputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(literal 1/48 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))))
#s(approx (* im (- (* -1/6 (* (* im im) (cos re))) (cos re))) (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (* im (- (* -1/6 (* (* im im) (cos re))) (cos re))) (fma.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))))
#s(approx (* im (- (* -1/6 (* (* im im) (cos re))) (cos re))) (fma.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/144 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/24 binary64))) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (* im (- (* -1/6 (* (* im im) (cos re))) (cos re))) (fma.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal 1/4320 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 im (-.f64 (*.f64 #s(literal -1/144 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/24 binary64)))))))))
#s(approx (- (* -1/6 (* (* im im) (cos re))) (cos re)) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
#s(approx (- (* -1/6 (* (* im im) (cos re))) (cos re)) (-.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))))) #s(literal 1 binary64)))
#s(approx (- (* -1/6 (* (* im im) (cos re))) (cos re)) (-.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/144 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/24 binary64))))))) #s(literal 1 binary64)))
#s(approx (- (* -1/6 (* (* im im) (cos re))) (cos re)) (-.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/144 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal 1/4320 binary64) (pow.f64 im #s(literal 2 binary64)))))) #s(literal 1/24 binary64))))))) #s(literal 1 binary64)))
#s(approx (* -1/6 (* (* im im) (cos re))) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (* -1/6 (* (* im im) (cos re))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (* -1/6 (* (* im im) (cos re))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/144 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (* -1/6 (* (* im im) (cos re))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/144 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/4320 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))))
#s(approx (* (* im im) (cos re)) (pow.f64 im #s(literal 2 binary64)))
#s(approx (* (* im im) (cos re)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64))))
#s(approx (* (* im im) (cos re)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (pow.f64 im #s(literal 2 binary64))))
#s(approx (* (* im im) (cos re)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) (pow.f64 im #s(literal 2 binary64))))
#s(approx (cos re) #s(literal 1 binary64))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx re re)
#s(approx (* -1 (* im (cos re))) (*.f64 #s(literal -1 binary64) im))
#s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))
#s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/24 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) im)))))
#s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/24 binary64) im (*.f64 #s(literal 1/720 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))))))
#s(approx (* im (cos re)) im)
#s(approx (* im (cos re)) (+.f64 im (*.f64 #s(literal -1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))
#s(approx (* im (cos re)) (+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) im (*.f64 #s(literal 1/24 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (* im (cos re)) (+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) im)))))))
#s(approx (* 1/2 (* im (pow re 2))) (*.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))
#s(approx (* im (pow re 2)) (*.f64 im (pow.f64 re #s(literal 2 binary64))))
#s(approx (pow re 2) (pow.f64 re #s(literal 2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
#s(approx (* im (- (* -1/6 (* (* im im) (cos re))) (cos re))) (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (cos.f64 re))))
#s(approx (- (* -1/6 (* (* im im) (cos re))) (cos re)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (cos.f64 re)))
#s(approx (* -1/6 (* (* im im) (cos re))) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
#s(approx (* (* im im) (cos re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
#s(approx (cos re) (cos.f64 re))
#s(approx (* -1 (* im (cos re))) (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re))))
#s(approx (* im (cos re)) (*.f64 im (cos.f64 re)))
#s(approx (+ (* -1 im) (* 1/2 (* im (pow re 2)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 im (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (cos.f64 re) (*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) (cos.f64 re) (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))))))
#s(approx (- (* -1/6 (* (* im im) (cos re))) (cos re)) (*.f64 #s(literal -1 binary64) (cos.f64 re)))
#s(approx (* 1/2 (- (exp (neg im)) (exp im))) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (* 1/2 (- (exp (neg im)) (exp im))) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 #s(literal -2 binary64) im))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im)))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)))))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) im))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))))
#s(approx (+ (* -1 im) (* 1/2 (* im (pow re 2)))) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (exp (+ im im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) im)))
#s(approx (exp (+ im im)) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) im)))))
#s(approx (exp (+ im im)) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4/3 binary64) im)))))))
#s(approx (+ im im) (*.f64 #s(literal 2 binary64) im))
#s(approx (* im (- (* -1/6 (* (* im im) (cos re))) (cos re))) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (cos.f64 re))))
#s(approx (* im (- (* -1/6 (* (* im im) (cos re))) (cos re))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal -1/6 binary64) (cos.f64 re)))))
#s(approx (- (* -1/6 (* (* im im) (cos re))) (cos re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal -1/6 binary64) (cos.f64 re)))))
#s(approx (- (exp (neg im)) (exp im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (exp (neg im)) (exp.f64 (neg.f64 im)))
#s(approx (exp im) (exp.f64 im))
#s(approx (+ 1 im) (*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))))
#s(approx (* 1/2 (- (exp (neg im)) (sqrt (exp (+ im im))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) im))))))
#s(approx (- (exp (neg im)) (sqrt (exp (+ im im)))) (-.f64 (exp.f64 (neg.f64 im)) (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) im)))))
#s(approx (sqrt (exp (+ im im))) (sqrt.f64 (exp.f64 (*.f64 #s(literal 2 binary64) im))))
#s(approx (exp (+ im im)) (exp.f64 (*.f64 #s(literal 2 binary64) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))))
#s(approx (* im (- (* -1/6 (* (* im im) (cos re))) (cos re))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (cos.f64 re) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (* 1/2 (- (exp (neg im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))))
#s(approx (- (exp (neg im)) (exp im)) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))
#s(approx (exp (neg im)) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
#s(approx (+ (* -1 im) (* 1/2 (* im (pow re 2)))) (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (* 1/2 (- (exp (neg im)) (sqrt (exp (+ im im))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (sqrt.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) im)))))))
#s(approx (- (exp (neg im)) (sqrt (exp (+ im im)))) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (sqrt.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) im))))))
#s(approx (sqrt (exp (+ im im))) (sqrt.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) im)))))
#s(approx (exp (+ im im)) (exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) im))))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
im
@-inf
((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* im (- (* -1/6 (* (* im im) (cos re))) (cos re))) im (- (* -1/6 (* (* im im) (cos re))) (cos re)) (* -1/6 (* (* im im) (cos re))) -1/6 (* (* im im) (cos re)) (* im im) (cos re) re (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* -1 (* im (cos re))) -1 (* im (cos re)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (- (exp (neg im)) (exp im))) 1/2 (- (exp (neg im)) (exp im)) (exp (neg im)) (neg im) (exp im) (+ 1 im) 1 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* -1 (* im (cos re))) (+ (* -1 im) (* 1/2 (* im (pow re 2)))) (* 1/2 (* im (pow re 2))) (* im (pow re 2)) (pow re 2) 2 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (- (exp (neg im)) (sqrt (exp (+ im im))))) (- (exp (neg im)) (sqrt (exp (+ im im)))) (sqrt (exp (+ im im))) (exp (+ im im)) (+ im im))
4.0ms
im
@inf
((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* im (- (* -1/6 (* (* im im) (cos re))) (cos re))) im (- (* -1/6 (* (* im im) (cos re))) (cos re)) (* -1/6 (* (* im im) (cos re))) -1/6 (* (* im im) (cos re)) (* im im) (cos re) re (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* -1 (* im (cos re))) -1 (* im (cos re)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (- (exp (neg im)) (exp im))) 1/2 (- (exp (neg im)) (exp im)) (exp (neg im)) (neg im) (exp im) (+ 1 im) 1 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* -1 (* im (cos re))) (+ (* -1 im) (* 1/2 (* im (pow re 2)))) (* 1/2 (* im (pow re 2))) (* im (pow re 2)) (pow re 2) 2 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (- (exp (neg im)) (sqrt (exp (+ im im))))) (- (exp (neg im)) (sqrt (exp (+ im im)))) (sqrt (exp (+ im im))) (exp (+ im im)) (+ im im))
4.0ms
im
@0
((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* im (- (* -1/6 (* (* im im) (cos re))) (cos re))) im (- (* -1/6 (* (* im im) (cos re))) (cos re)) (* -1/6 (* (* im im) (cos re))) -1/6 (* (* im im) (cos re)) (* im im) (cos re) re (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* -1 (* im (cos re))) -1 (* im (cos re)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (- (exp (neg im)) (exp im))) 1/2 (- (exp (neg im)) (exp im)) (exp (neg im)) (neg im) (exp im) (+ 1 im) 1 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* -1 (* im (cos re))) (+ (* -1 im) (* 1/2 (* im (pow re 2)))) (* 1/2 (* im (pow re 2))) (* im (pow re 2)) (pow re 2) 2 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (- (exp (neg im)) (sqrt (exp (+ im im))))) (- (exp (neg im)) (sqrt (exp (+ im im)))) (sqrt (exp (+ im im))) (exp (+ im im)) (+ im im))
3.0ms
re
@inf
((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* im (- (* -1/6 (* (* im im) (cos re))) (cos re))) im (- (* -1/6 (* (* im im) (cos re))) (cos re)) (* -1/6 (* (* im im) (cos re))) -1/6 (* (* im im) (cos re)) (* im im) (cos re) re (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* -1 (* im (cos re))) -1 (* im (cos re)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (- (exp (neg im)) (exp im))) 1/2 (- (exp (neg im)) (exp im)) (exp (neg im)) (neg im) (exp im) (+ 1 im) 1 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* -1 (* im (cos re))) (+ (* -1 im) (* 1/2 (* im (pow re 2)))) (* 1/2 (* im (pow re 2))) (* im (pow re 2)) (pow re 2) 2 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (- (exp (neg im)) (sqrt (exp (+ im im))))) (- (exp (neg im)) (sqrt (exp (+ im im)))) (sqrt (exp (+ im im))) (exp (+ im im)) (+ im im))
3.0ms
re
@-inf
((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* im (- (* -1/6 (* (* im im) (cos re))) (cos re))) im (- (* -1/6 (* (* im im) (cos re))) (cos re)) (* -1/6 (* (* im im) (cos re))) -1/6 (* (* im im) (cos re)) (* im im) (cos re) re (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* -1 (* im (cos re))) -1 (* im (cos re)) (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (- (exp (neg im)) (exp im))) 1/2 (- (exp (neg im)) (exp im)) (exp (neg im)) (neg im) (exp im) (+ 1 im) 1 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* -1 (* im (cos re))) (+ (* -1 im) (* 1/2 (* im (pow re 2)))) (* 1/2 (* im (pow re 2))) (* im (pow re 2)) (pow re 2) 2 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* 1/2 (- (exp (neg im)) (sqrt (exp (+ im im))))) (- (exp (neg im)) (sqrt (exp (+ im im)))) (sqrt (exp (+ im im))) (exp (+ im im)) (+ im im))

rewrite1.4s (13.6%)

Memory
-2.9MiB live, 769.8MiB allocated; 177ms collecting garbage
Counts
36 → 1 356
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) (cos.f64 re))) (cos.f64 re))))
(*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) (cos.f64 re))) (cos.f64 re)))
im
(-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) (cos.f64 re))) (cos.f64 re))
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) (cos.f64 re)))
#s(literal -1/6 binary64)
(*.f64 (*.f64 im im) (cos.f64 re))
(*.f64 im im)
(cos.f64 re)
re
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) #s(approx (* im (cos re)) im)))
(*.f64 #s(literal -1 binary64) #s(approx (* im (cos re)) im))
#s(literal -1 binary64)
#s(approx (* im (cos re)) im)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
#s(literal 1/2 binary64)
(-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))
(exp.f64 (neg.f64 im))
(neg.f64 im)
#s(approx (exp im) (+.f64 #s(literal 1 binary64) im))
(+.f64 #s(literal 1 binary64) im)
#s(literal 1 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))
(fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))
(*.f64 im (pow.f64 re #s(literal 2 binary64)))
(pow.f64 re #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (sqrt.f64 (exp.f64 (+.f64 im im))))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (sqrt.f64 (exp.f64 (+.f64 im im)))))
(-.f64 (exp.f64 (neg.f64 im)) (sqrt.f64 (exp.f64 (+.f64 im im))))
(sqrt.f64 (exp.f64 (+.f64 im im)))
(exp.f64 (+.f64 im im))
(+.f64 im im)
Outputs
#s(approx (neg (* 2 (* (sinh im) (* 1/2 (cos re))))) (*.f64 (*.f64 (fma.f64 (*.f64 im #s(literal -1/6 binary64)) (neg.f64 im) #s(literal 1 binary64)) (cos.f64 re)) (neg.f64 im)))
(*.f64 im (neg.f64 (*.f64 (fma.f64 (*.f64 im #s(literal -1/6 binary64)) (neg.f64 im) #s(literal 1 binary64)) (cos.f64 re))))
(*.f64 (*.f64 (fma.f64 (*.f64 im #s(literal -1/6 binary64)) (neg.f64 im) #s(literal 1 binary64)) (cos.f64 re)) (neg.f64 im))
(*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 im #s(literal -1/6 binary64)) (neg.f64 im) #s(literal 1 binary64)) (cos.f64 re))) im)
(*.f64 (neg.f64 im) (*.f64 (fma.f64 (*.f64 im #s(literal -1/6 binary64)) (neg.f64 im) #s(literal 1 binary64)) (cos.f64 re)))
(+.f64 (*.f64 (*.f64 (*.f64 im im) (cos.f64 re)) (*.f64 im #s(literal -1/6 binary64))) (*.f64 (neg.f64 im) (cos.f64 re)))
(+.f64 (*.f64 (neg.f64 im) (cos.f64 re)) (*.f64 (*.f64 (*.f64 im im) (cos.f64 re)) (*.f64 im #s(literal -1/6 binary64))))
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im #s(literal -1/6 binary64)) (neg.f64 im) #s(literal 1 binary64)) (cos.f64 re)) (neg.f64 im)) (*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 im #s(literal -1/6 binary64)) (neg.f64 im) #s(literal 1 binary64)) (cos.f64 re))) #s(literal 0 binary64)))
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im #s(literal -1/6 binary64)) (neg.f64 im) #s(literal 1 binary64)) (cos.f64 re)) (neg.f64 im)) (*.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (fma.f64 (*.f64 im #s(literal -1/6 binary64)) (neg.f64 im) #s(literal 1 binary64)) (cos.f64 re)))))
(-.f64 (*.f64 (*.f64 (*.f64 im im) (cos.f64 re)) (*.f64 im #s(literal -1/6 binary64))) (*.f64 (cos.f64 re) im))
(-.f64 (*.f64 (*.f64 (*.f64 im im) (cos.f64 re)) (*.f64 im #s(literal -1/6 binary64))) (*.f64 (neg.f64 #s(literal -1 binary64)) (*.f64 (cos.f64 re) im)))
(-.f64 (*.f64 (*.f64 (*.f64 im im) (cos.f64 re)) (*.f64 im #s(literal -1/6 binary64))) (*.f64 (*.f64 (neg.f64 im) (cos.f64 re)) #s(literal -1 binary64)))
(-.f64 (*.f64 (*.f64 (*.f64 im im) (cos.f64 re)) (*.f64 im #s(literal -1/6 binary64))) (*.f64 (neg.f64 (cos.f64 re)) (neg.f64 im)))
(-.f64 (*.f64 (*.f64 (*.f64 im im) (cos.f64 re)) (*.f64 im #s(literal -1/6 binary64))) (*.f64 (neg.f64 im) (neg.f64 (cos.f64 re))))
(fma.f64 (*.f64 (*.f64 im im) (cos.f64 re)) (*.f64 im #s(literal -1/6 binary64)) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (*.f64 (cos.f64 re) im) (*.f64 (*.f64 im #s(literal -1/6 binary64)) im) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (*.f64 (*.f64 im #s(literal -1/6 binary64)) im) (*.f64 (cos.f64 re) im) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (*.f64 (cos.f64 re) #s(literal -1/6 binary64)) (*.f64 (*.f64 im im) im) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (cos.f64 re) #s(literal -1/6 binary64)) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal -1/6 binary64))) (*.f64 im im) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (*.f64 im #s(literal -1/6 binary64)) (*.f64 (*.f64 im im) (cos.f64 re)) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (*.f64 im im) (*.f64 (cos.f64 re) (*.f64 im #s(literal -1/6 binary64))) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) (cos.f64 re))) im (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (*.f64 im (*.f64 (*.f64 im #s(literal -1/6 binary64)) im)) (cos.f64 re) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (*.f64 im (*.f64 (*.f64 im im) (cos.f64 re))) #s(literal -1/6 binary64) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) (cos.f64 re))) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (cos.f64 re) (*.f64 (*.f64 (*.f64 im #s(literal -1/6 binary64)) im) im) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 im im) (cos.f64 re)) im) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (*.f64 im im) (*.f64 (*.f64 (cos.f64 re) #s(literal -1/6 binary64)) im) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 re) im) (*.f64 (*.f64 (*.f64 im im) (cos.f64 re)) (*.f64 im #s(literal -1/6 binary64))))
(fma.f64 (*.f64 (cos.f64 re) im) #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 im im) (cos.f64 re)) (*.f64 im #s(literal -1/6 binary64))))
(fma.f64 (cos.f64 re) (neg.f64 im) (*.f64 (*.f64 (*.f64 im im) (cos.f64 re)) (*.f64 im #s(literal -1/6 binary64))))
(fma.f64 (neg.f64 im) (cos.f64 re) (*.f64 (*.f64 (*.f64 im im) (cos.f64 re)) (*.f64 im #s(literal -1/6 binary64))))
(fma.f64 im (neg.f64 (cos.f64 re)) (*.f64 (*.f64 (*.f64 im im) (cos.f64 re)) (*.f64 im #s(literal -1/6 binary64))))
(fma.f64 (neg.f64 (cos.f64 re)) im (*.f64 (*.f64 (*.f64 im im) (cos.f64 re)) (*.f64 im #s(literal -1/6 binary64))))
(fma.f64 (*.f64 (fma.f64 (*.f64 im #s(literal -1/6 binary64)) (neg.f64 im) #s(literal 1 binary64)) (cos.f64 re)) (neg.f64 im) (*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 im #s(literal -1/6 binary64)) (neg.f64 im) #s(literal 1 binary64)) (cos.f64 re))) #s(literal 0 binary64)))
(fma.f64 (neg.f64 im) (*.f64 (fma.f64 (*.f64 im #s(literal -1/6 binary64)) (neg.f64 im) #s(literal 1 binary64)) (cos.f64 re)) (*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 im #s(literal -1/6 binary64)) (neg.f64 im) #s(literal 1 binary64)) (cos.f64 re))) #s(literal 0 binary64)))
(fma.f64 im (neg.f64 (*.f64 (fma.f64 (*.f64 im #s(literal -1/6 binary64)) (neg.f64 im) #s(literal 1 binary64)) (cos.f64 re))) (*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 im #s(literal -1/6 binary64)) (neg.f64 im) #s(literal 1 binary64)) (cos.f64 re))) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 im #s(literal -1/6 binary64)) (neg.f64 im) #s(literal 1 binary64)) (cos.f64 re))) im (*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 im #s(literal -1/6 binary64)) (neg.f64 im) #s(literal 1 binary64)) (cos.f64 re))) #s(literal 0 binary64)))
(fma.f64 (*.f64 (fma.f64 (*.f64 im #s(literal -1/6 binary64)) (neg.f64 im) #s(literal 1 binary64)) (cos.f64 re)) (neg.f64 im) (*.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (fma.f64 (*.f64 im #s(literal -1/6 binary64)) (neg.f64 im) #s(literal 1 binary64)) (cos.f64 re)))))
(fma.f64 (neg.f64 im) (*.f64 (fma.f64 (*.f64 im #s(literal -1/6 binary64)) (neg.f64 im) #s(literal 1 binary64)) (cos.f64 re)) (*.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (fma.f64 (*.f64 im #s(literal -1/6 binary64)) (neg.f64 im) #s(literal 1 binary64)) (cos.f64 re)))))
(fma.f64 im (neg.f64 (*.f64 (fma.f64 (*.f64 im #s(literal -1/6 binary64)) (neg.f64 im) #s(literal 1 binary64)) (cos.f64 re))) (*.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (fma.f64 (*.f64 im #s(literal -1/6 binary64)) (neg.f64 im) #s(literal 1 binary64)) (cos.f64 re)))))
(fma.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 im #s(literal -1/6 binary64)) (neg.f64 im) #s(literal 1 binary64)) (cos.f64 re))) im (*.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (fma.f64 (*.f64 im #s(literal -1/6 binary64)) (neg.f64 im) #s(literal 1 binary64)) (cos.f64 re)))))
(neg.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im #s(literal -1/6 binary64)) (neg.f64 im) #s(literal 1 binary64)) (cos.f64 re)) im))
(neg.f64 (*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 im #s(literal -1/6 binary64)) (neg.f64 im) #s(literal 1 binary64)) (cos.f64 re))) (neg.f64 im)))
(neg.f64 (*.f64 (neg.f64 im) (neg.f64 (*.f64 (fma.f64 (*.f64 im #s(literal -1/6 binary64)) (neg.f64 im) #s(literal 1 binary64)) (cos.f64 re)))))
im
(*.f64 im #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) im)
(*.f64 (neg.f64 #s(literal -1 binary64)) im)
(*.f64 (neg.f64 im) #s(literal -1 binary64))
(*.f64 (+.f64 im im) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
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(exp.f64 (-.f64 (*.f64 (+.f64 im im) #s(literal 1/2 binary64)) (neg.f64 im)))
(exp.f64 (+.f64 im (*.f64 (+.f64 im im) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (+.f64 im im) #s(literal 1/2 binary64) (*.f64 (+.f64 im im) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (sinh.f64 im) #s(literal 2 binary64)) (cosh.f64 im) (cosh.f64 (+.f64 im im)))
(fma.f64 (/.f64 (sinh.f64 (+.f64 im im)) #s(literal 2 binary64)) #s(literal 2 binary64) (cosh.f64 (+.f64 im im)))
(fma.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 (+.f64 im im)) #s(literal 2 binary64)) (cosh.f64 (+.f64 im im)))
(fma.f64 (exp.f64 im) (cosh.f64 im) (*.f64 (exp.f64 im) (sinh.f64 im)))
(fma.f64 (cosh.f64 im) (exp.f64 im) (*.f64 (exp.f64 im) (sinh.f64 im)))
(fma.f64 (sinh.f64 im) (exp.f64 im) (*.f64 (cosh.f64 im) (exp.f64 im)))
(fma.f64 (exp.f64 im) (sinh.f64 im) (*.f64 (cosh.f64 im) (exp.f64 im)))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 im im))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (sinh.f64 (+.f64 im im)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 im im))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (cosh.f64 (+.f64 im im)))
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 (sinh.f64 (+.f64 im im)) #s(literal 2 binary64))) (cosh.f64 (+.f64 im im)))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (+.f64 im im)) #s(literal 2 binary64))) (cosh.f64 (+.f64 im im)))
(fma.f64 (neg.f64 (cosh.f64 im)) (neg.f64 (exp.f64 im)) (*.f64 (sinh.f64 (neg.f64 im)) (neg.f64 (exp.f64 im))))
(fma.f64 (neg.f64 (exp.f64 im)) (neg.f64 (cosh.f64 im)) (*.f64 (neg.f64 (exp.f64 im)) (sinh.f64 (neg.f64 im))))
(fma.f64 (cosh.f64 im) (sinh.f64 im) (+.f64 (/.f64 (sinh.f64 (+.f64 im im)) #s(literal 2 binary64)) (cosh.f64 (+.f64 im im))))
(fma.f64 (sinh.f64 im) (cosh.f64 im) (+.f64 (/.f64 (sinh.f64 (+.f64 im im)) #s(literal 2 binary64)) (cosh.f64 (+.f64 im im))))
(fma.f64 (sinh.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im)) (fma.f64 (cosh.f64 im) (cosh.f64 im) (sinh.f64 (+.f64 im im))))
(fma.f64 (fabs.f64 (sinh.f64 im)) (fabs.f64 (sinh.f64 im)) (fma.f64 (cosh.f64 im) (cosh.f64 im) (sinh.f64 (+.f64 im im))))
(fma.f64 (sinh.f64 im) (sinh.f64 im) (fma.f64 (cosh.f64 im) (cosh.f64 im) (sinh.f64 (+.f64 im im))))
(fma.f64 (cosh.f64 im) (cosh.f64 im) (fma.f64 (sinh.f64 im) (sinh.f64 im) (sinh.f64 (+.f64 im im))))
(fma.f64 (fabs.f64 (cosh.f64 im)) (fabs.f64 (cosh.f64 im)) (fma.f64 (sinh.f64 im) (sinh.f64 im) (sinh.f64 (+.f64 im im))))
(fma.f64 (neg.f64 (cosh.f64 im)) (neg.f64 (cosh.f64 im)) (fma.f64 (sinh.f64 im) (sinh.f64 im) (sinh.f64 (+.f64 im im))))
(fma.f64 (sinh.f64 (neg.f64 im)) (sinh.f64 (neg.f64 im)) (-.f64 (*.f64 (cosh.f64 im) (cosh.f64 im)) (sinh.f64 (-.f64 (neg.f64 im) im))))
(fma.f64 (fabs.f64 (sinh.f64 im)) (fabs.f64 (sinh.f64 im)) (-.f64 (*.f64 (cosh.f64 im) (cosh.f64 im)) (sinh.f64 (-.f64 (neg.f64 im) im))))
(fma.f64 (sinh.f64 im) (sinh.f64 im) (-.f64 (*.f64 (cosh.f64 im) (cosh.f64 im)) (sinh.f64 (-.f64 (neg.f64 im) im))))
(fma.f64 (cosh.f64 im) (cosh.f64 im) (-.f64 (*.f64 (sinh.f64 im) (sinh.f64 im)) (sinh.f64 (-.f64 (neg.f64 im) im))))
(fma.f64 (fabs.f64 (cosh.f64 im)) (fabs.f64 (cosh.f64 im)) (-.f64 (*.f64 (sinh.f64 im) (sinh.f64 im)) (sinh.f64 (-.f64 (neg.f64 im) im))))
(fma.f64 (neg.f64 (cosh.f64 im)) (neg.f64 (cosh.f64 im)) (-.f64 (*.f64 (sinh.f64 im) (sinh.f64 im)) (sinh.f64 (-.f64 (neg.f64 im) im))))
(neg.f64 (neg.f64 (exp.f64 (+.f64 im im))))
(pow.f64 (exp.f64 #s(literal 2 binary64)) im)
(pow.f64 (exp.f64 im) #s(literal 2 binary64))
(pow.f64 (exp.f64 (*.f64 (+.f64 im im) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (+.f64 im im)) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (+.f64 im im)) (*.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (+.f64 im im)) #s(literal 1 binary64))
(pow.f64 (neg.f64 (exp.f64 im)) #s(literal 2 binary64))
(sqrt.f64 (exp.f64 (*.f64 (+.f64 im im) #s(literal 2 binary64))))
(*.f64 im #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) im)
(*.f64 (+.f64 im im) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(*.f64 (+.f64 im im) #s(literal 1 binary64))
(*.f64 (+.f64 (neg.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) im)
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) im))
(+.f64 im im)
(+.f64 (+.f64 im im) (*.f64 #s(literal 0 binary64) #s(literal 2 binary64)))
(+.f64 (+.f64 im im) #s(literal 0 binary64))
(+.f64 im (-.f64 #s(literal 0 binary64) (neg.f64 im)))
(-.f64 (+.f64 im im) #s(literal 0 binary64))
(-.f64 im (neg.f64 im))
(-.f64 im (*.f64 (neg.f64 (neg.f64 #s(literal -1 binary64))) im))
(fma.f64 im #s(literal 1 binary64) im)
(fma.f64 im #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) im im)
(fma.f64 #s(literal 2 binary64) im #s(literal 0 binary64))
(fma.f64 (neg.f64 #s(literal -1 binary64)) im im)
(fma.f64 (neg.f64 im) #s(literal -1 binary64) im)
(fma.f64 (+.f64 im im) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) #s(literal 2 binary64)))
(fma.f64 (+.f64 im im) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (+.f64 im im) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) im)
(fma.f64 (+.f64 im im) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) #s(literal 2 binary64)))
(fma.f64 (+.f64 im im) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 im im) im)
(fma.f64 (/.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) #s(literal 1 binary64)) im)
(fma.f64 (/.f64 im #s(literal 2 binary64)) #s(literal 2 binary64) im)
(fma.f64 (+.f64 (neg.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) im (*.f64 #s(literal 0 binary64) #s(literal 2 binary64)))
(fma.f64 (+.f64 (neg.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) im #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 im) im)
(fma.f64 #s(literal 2 binary64) (/.f64 im #s(literal 2 binary64)) im)
(fma.f64 im (neg.f64 #s(literal -1 binary64)) im)
(fma.f64 im #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) im (*.f64 #s(literal 0 binary64) #s(literal 2 binary64)))
(fma.f64 (-.f64 (neg.f64 im) im) (/.f64 #s(literal 1 binary64) (neg.f64 #s(literal 2 binary64))) im)
(fma.f64 (-.f64 (neg.f64 im) im) (/.f64 #s(literal 1 binary64) (neg.f64 #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (neg.f64 im)))
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) im) (*.f64 #s(literal 0 binary64) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) im) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 im #s(literal 2 binary64))) im)
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 im #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (neg.f64 im)))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) (/.f64 im #s(literal 2 binary64))) im)
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) (/.f64 im #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (neg.f64 im)))
(fma.f64 (/.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) im)
(fma.f64 (/.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (neg.f64 im)))
(fma.f64 (neg.f64 im) #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 im)))
(fma.f64 im #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 im)))
(fma.f64 (/.f64 im #s(literal 2 binary64)) #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 im)))
(fma.f64 #s(literal 1 binary64) im (-.f64 #s(literal 0 binary64) (neg.f64 im)))
(fma.f64 (neg.f64 #s(literal -1 binary64)) im (-.f64 #s(literal 0 binary64) (neg.f64 im)))
(fma.f64 im (neg.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (neg.f64 im)))
(fma.f64 #s(literal -1 binary64) (neg.f64 im) (-.f64 #s(literal 0 binary64) (neg.f64 im)))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 im im) (-.f64 #s(literal 0 binary64) (neg.f64 im)))
(fma.f64 (/.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (neg.f64 im)))
(fma.f64 (+.f64 im im) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (neg.f64 im)))
(fma.f64 #s(literal 2 binary64) (/.f64 im #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (neg.f64 im)))
(neg.f64 (-.f64 (neg.f64 im) im))

eval442.0ms (4.2%)

Memory
23.8MiB live, 247.1MiB allocated; 85ms collecting garbage
Compiler

Compiled 21 740 to 10 605 computations (51.2% saved)

prune138.0ms (1.3%)

Memory
-11.8MiB live, 81.1MiB allocated; 6ms collecting garbage
Pruning

19 alts after pruning (17 fresh and 2 done)

PrunedKeptTotal
New2 060112 071
Fresh167
Picked415
Done011
Total2 065192 084
Accuracy
99.9%
Counts
2 084 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(*.f64 (*.f64 (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64))
63.4%
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re #s(literal -1/4 binary64)) re #s(literal 1/2 binary64))) (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im)))
81.5%
#s(approx (* (* (neg (* 1/2 2)) (cos re)) (sinh im)) (*.f64 (*.f64 im (cos.f64 re)) (fma.f64 (*.f64 im #s(literal -1/6 binary64)) im #s(literal -1 binary64))))
50.6%
#s(approx (* (* (neg (* 1/2 2)) (cos re)) (sinh im)) (*.f64 (neg.f64 im) (cos.f64 re)))
64.5%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im)) #s(literal 1/2 binary64)))
81.6%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 im (-.f64 (*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal -1/6 binary64)) im) im) (cos.f64 re))))
51.4%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) #s(approx (cos re) #s(literal 1 binary64)))) #s(approx (cos re) #s(literal 1 binary64)))))
4.5%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (sqrt.f64 #s(approx (exp (+ im im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) im)))))))
5.0%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) #s(approx (+ 1 im) (*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))))))))
10.5%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
40.1%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (exp.f64 im))))
5.2%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
29.8%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 re (PI.f64))))))))
29.3%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) #s(approx (* im (cos re)) im)))
39.3%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (cos re) (neg im)) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
51.0%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* im (- (* -1/6 (* (* im im) (cos re))) (cos re))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal -1/6 binary64) (cos.f64 re))))))
39.3%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) re) re (neg.f64 im))))
39.3%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (*.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) re) re))))
39.5%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re))))))))
Compiler

Compiled 789 to 756 computations (4.2% saved)

series313.0ms (3%)

Memory
-6.5MiB live, 67.3MiB allocated; 170ms collecting garbage
Counts
36 → 76
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 im (-.f64 (*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal -1/6 binary64)) im) im) (cos.f64 re))))
(*.f64 im (-.f64 (*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal -1/6 binary64)) im) im) (cos.f64 re)))
im
(-.f64 (*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal -1/6 binary64)) im) im) (cos.f64 re))
(*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal -1/6 binary64)) im) im)
(*.f64 (*.f64 (cos.f64 re) #s(literal -1/6 binary64)) im)
(*.f64 (cos.f64 re) #s(literal -1/6 binary64))
(cos.f64 re)
re
#s(literal -1/6 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (cos re) (neg im)) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
#s(approx (* (cos re) (neg im)) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))
(*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) re)
#s(literal 1/2 binary64)
#s(literal -1 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) #s(approx (cos re) #s(literal 1 binary64)))) #s(approx (cos re) #s(literal 1 binary64)))))
(*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) #s(approx (cos re) #s(literal 1 binary64)))) #s(approx (cos re) #s(literal 1 binary64))))
(-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) #s(approx (cos re) #s(literal 1 binary64)))) #s(approx (cos re) #s(literal 1 binary64)))
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) #s(approx (cos re) #s(literal 1 binary64))))
(*.f64 (*.f64 im im) #s(approx (cos re) #s(literal 1 binary64)))
(*.f64 im im)
#s(approx (cos re) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re))))))))
#s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re)))))))
(fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re)))))
(*.f64 im (sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re))))
(sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re)))
(*.f64 (*.f64 re re) (*.f64 re re))
(*.f64 re re)
#s(approx (* (* (neg (* 1/2 2)) (cos re)) (sinh im)) (*.f64 (neg.f64 im) (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(neg.f64 im)
Outputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(literal 1/48 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))))
#s(approx (* im (- (* (* (* (cos re) -1/6) im) im) (cos re))) (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (* im (- (* (* (* (cos re) -1/6) im) im) (cos re))) (fma.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))))
#s(approx (* im (- (* (* (* (cos re) -1/6) im) im) (cos re))) (fma.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/144 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/24 binary64))) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (* im (- (* (* (* (cos re) -1/6) im) im) (cos re))) (fma.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal 1/4320 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 im (-.f64 (*.f64 #s(literal -1/144 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/24 binary64)))))))))
#s(approx (- (* (* (* (cos re) -1/6) im) im) (cos re)) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
#s(approx (- (* (* (* (cos re) -1/6) im) im) (cos re)) (-.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))))) #s(literal 1 binary64)))
#s(approx (- (* (* (* (cos re) -1/6) im) im) (cos re)) (-.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/144 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/24 binary64))))))) #s(literal 1 binary64)))
#s(approx (- (* (* (* (cos re) -1/6) im) im) (cos re)) (-.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/144 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal 1/4320 binary64) (pow.f64 im #s(literal 2 binary64)))))) #s(literal 1/24 binary64))))))) #s(literal 1 binary64)))
#s(approx (* (* (* (cos re) -1/6) im) im) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (* (* (* (cos re) -1/6) im) im) (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (* (* (* (cos re) -1/6) im) im) (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/144 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (* (* (* (cos re) -1/6) im) im) (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/144 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/4320 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))))
#s(approx (* (* (cos re) -1/6) im) (*.f64 #s(literal -1/6 binary64) im))
#s(approx (* (* (cos re) -1/6) im) (fma.f64 #s(literal -1/6 binary64) im (*.f64 #s(literal 1/12 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))
#s(approx (* (* (cos re) -1/6) im) (fma.f64 #s(literal -1/6 binary64) im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/144 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/12 binary64) im)))))
#s(approx (* (* (cos re) -1/6) im) (fma.f64 #s(literal -1/6 binary64) im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/144 binary64) im (*.f64 #s(literal 1/4320 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))))))
#s(approx (* (cos re) -1/6) #s(literal -1/6 binary64))
#s(approx (* (cos re) -1/6) (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/6 binary64)))
#s(approx (* (cos re) -1/6) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/144 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/6 binary64)))
#s(approx (* (cos re) -1/6) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4320 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/144 binary64))))) #s(literal 1/6 binary64)))
#s(approx (cos re) #s(literal 1 binary64))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos re) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx re re)
#s(approx (* (cos re) (neg im)) (*.f64 #s(literal -1 binary64) im))
#s(approx (* (cos re) (neg im)) (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))
#s(approx (* (cos re) (neg im)) (fma.f64 #s(literal -1 binary64) im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/24 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) im)))))
#s(approx (* (cos re) (neg im)) (fma.f64 #s(literal -1 binary64) im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/24 binary64) im (*.f64 #s(literal 1/720 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))))))
#s(approx (+ (* (* 1/2 re) re) -1) #s(literal -1 binary64))
#s(approx (+ (* (* 1/2 re) re) -1) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)))
#s(approx (* 1/2 re) (*.f64 #s(literal 1/2 binary64) re))
#s(approx (* (* im im) (cos re)) (pow.f64 im #s(literal 2 binary64)))
#s(approx (* (* im im) (cos re)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64))))
#s(approx (* (* im im) (cos re)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (pow.f64 im #s(literal 2 binary64))))
#s(approx (* (* im im) (cos re)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) (pow.f64 im #s(literal 2 binary64))))
#s(approx (* 1/2 (* im (sqrt (* (* re re) (* re re))))) (*.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))
#s(approx (* im (sqrt (* (* re re) (* re re)))) (*.f64 im (pow.f64 re #s(literal 2 binary64))))
#s(approx (sqrt (* (* re re) (* re re))) (pow.f64 re #s(literal 2 binary64)))
#s(approx (* (* re re) (* re re)) (pow.f64 re #s(literal 4 binary64)))
#s(approx (* (* (neg (* 1/2 2)) (cos re)) (sinh im)) (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
#s(approx (* (* (neg (* 1/2 2)) (cos re)) (sinh im)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))))
#s(approx (* (* (neg (* 1/2 2)) (cos re)) (sinh im)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/4 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))))
#s(approx (* (* (neg (* 1/2 2)) (cos re)) (sinh im)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (*.f64 #s(literal 1/1440 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
#s(approx (* im (- (* (* (* (cos re) -1/6) im) im) (cos re))) (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (cos.f64 re))))
#s(approx (- (* (* (* (cos re) -1/6) im) im) (cos re)) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (cos.f64 re)))
#s(approx (* (* (* (cos re) -1/6) im) im) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
#s(approx (* (* (cos re) -1/6) im) (*.f64 #s(literal -1/6 binary64) (*.f64 im (cos.f64 re))))
#s(approx (* (cos re) -1/6) (*.f64 #s(literal -1/6 binary64) (cos.f64 re)))
#s(approx (cos re) (cos.f64 re))
#s(approx (* (cos re) (neg im)) (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re))))
#s(approx (* im (+ (* (* 1/2 re) re) -1)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 im (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) im))))
#s(approx (+ (* (* 1/2 re) re) -1) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
#s(approx (+ (* (* 1/2 re) re) -1) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (* (* im im) (cos re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
#s(approx (* (* (neg (* 1/2 2)) (cos re)) (sinh im)) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (exp.f64 im) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (cos.f64 re) (*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) (cos.f64 re) (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))))))
#s(approx im im)
#s(approx (- (* (* (* (cos re) -1/6) im) im) (cos re)) (*.f64 #s(literal -1 binary64) (cos.f64 re)))
#s(approx (* im (+ (* (* 1/2 re) re) -1)) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (+ (* -1 im) (* 1/2 (* im (sqrt (* (* re re) (* re re)))))) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 re #s(literal 4 binary64)))) #s(literal 1 binary64))))
#s(approx (* 1/2 (* im (sqrt (* (* re re) (* re re))))) (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (pow.f64 re #s(literal 4 binary64))))))
#s(approx (* im (sqrt (* (* re re) (* re re)))) (*.f64 im (sqrt.f64 (pow.f64 re #s(literal 4 binary64)))))
#s(approx (* im (- (* (* (* (cos re) -1/6) im) im) (cos re))) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (cos.f64 re))))
#s(approx (* im (- (* (* (* (cos re) -1/6) im) im) (cos re))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal -1/6 binary64) (cos.f64 re)))))
#s(approx (- (* (* (* (cos re) -1/6) im) im) (cos re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal -1/6 binary64) (cos.f64 re)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))))
#s(approx (* im (- (* (* (* (cos re) -1/6) im) im) (cos re))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (cos.f64 re) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (+ (* -1 im) (* 1/2 (* im (sqrt (* (* re re) (* re re)))))) (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 re #s(literal 4 binary64))))))))
Calls

6 calls:

TimeVariablePointExpression
10.0ms
re
@inf
((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* im (- (* (* (* (cos re) -1/6) im) im) (cos re))) im (- (* (* (* (cos re) -1/6) im) im) (cos re)) (* (* (* (cos re) -1/6) im) im) (* (* (cos re) -1/6) im) (* (cos re) -1/6) (cos re) re -1/6 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (cos re) (neg im)) (* im (+ (* (* 1/2 re) re) -1)) (+ (* (* 1/2 re) re) -1) (* 1/2 re) 1/2 -1 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* im (- (* -1/6 (* (* im im) (cos re))) (cos re))) (- (* -1/6 (* (* im im) (cos re))) (cos re)) (* -1/6 (* (* im im) (cos re))) (* (* im im) (cos re)) (* im im) (cos re) 1 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* -1 (* im (cos re))) (+ (* -1 im) (* 1/2 (* im (sqrt (* (* re re) (* re re)))))) (* 1/2 (* im (sqrt (* (* re re) (* re re))))) (* im (sqrt (* (* re re) (* re re)))) (sqrt (* (* re re) (* re re))) (* (* re re) (* re re)) (* re re) (* (* (neg (* 1/2 2)) (cos re)) (sinh im)) (* (neg im) (cos re)) (neg im))
5.0ms
im
@-inf
((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* im (- (* (* (* (cos re) -1/6) im) im) (cos re))) im (- (* (* (* (cos re) -1/6) im) im) (cos re)) (* (* (* (cos re) -1/6) im) im) (* (* (cos re) -1/6) im) (* (cos re) -1/6) (cos re) re -1/6 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (cos re) (neg im)) (* im (+ (* (* 1/2 re) re) -1)) (+ (* (* 1/2 re) re) -1) (* 1/2 re) 1/2 -1 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* im (- (* -1/6 (* (* im im) (cos re))) (cos re))) (- (* -1/6 (* (* im im) (cos re))) (cos re)) (* -1/6 (* (* im im) (cos re))) (* (* im im) (cos re)) (* im im) (cos re) 1 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* -1 (* im (cos re))) (+ (* -1 im) (* 1/2 (* im (sqrt (* (* re re) (* re re)))))) (* 1/2 (* im (sqrt (* (* re re) (* re re))))) (* im (sqrt (* (* re re) (* re re)))) (sqrt (* (* re re) (* re re))) (* (* re re) (* re re)) (* re re) (* (* (neg (* 1/2 2)) (cos re)) (sinh im)) (* (neg im) (cos re)) (neg im))
4.0ms
im
@inf
((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* im (- (* (* (* (cos re) -1/6) im) im) (cos re))) im (- (* (* (* (cos re) -1/6) im) im) (cos re)) (* (* (* (cos re) -1/6) im) im) (* (* (cos re) -1/6) im) (* (cos re) -1/6) (cos re) re -1/6 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (cos re) (neg im)) (* im (+ (* (* 1/2 re) re) -1)) (+ (* (* 1/2 re) re) -1) (* 1/2 re) 1/2 -1 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* im (- (* -1/6 (* (* im im) (cos re))) (cos re))) (- (* -1/6 (* (* im im) (cos re))) (cos re)) (* -1/6 (* (* im im) (cos re))) (* (* im im) (cos re)) (* im im) (cos re) 1 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* -1 (* im (cos re))) (+ (* -1 im) (* 1/2 (* im (sqrt (* (* re re) (* re re)))))) (* 1/2 (* im (sqrt (* (* re re) (* re re))))) (* im (sqrt (* (* re re) (* re re)))) (sqrt (* (* re re) (* re re))) (* (* re re) (* re re)) (* re re) (* (* (neg (* 1/2 2)) (cos re)) (sinh im)) (* (neg im) (cos re)) (neg im))
4.0ms
re
@-inf
((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* im (- (* (* (* (cos re) -1/6) im) im) (cos re))) im (- (* (* (* (cos re) -1/6) im) im) (cos re)) (* (* (* (cos re) -1/6) im) im) (* (* (cos re) -1/6) im) (* (cos re) -1/6) (cos re) re -1/6 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (cos re) (neg im)) (* im (+ (* (* 1/2 re) re) -1)) (+ (* (* 1/2 re) re) -1) (* 1/2 re) 1/2 -1 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* im (- (* -1/6 (* (* im im) (cos re))) (cos re))) (- (* -1/6 (* (* im im) (cos re))) (cos re)) (* -1/6 (* (* im im) (cos re))) (* (* im im) (cos re)) (* im im) (cos re) 1 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* -1 (* im (cos re))) (+ (* -1 im) (* 1/2 (* im (sqrt (* (* re re) (* re re)))))) (* 1/2 (* im (sqrt (* (* re re) (* re re))))) (* im (sqrt (* (* re re) (* re re)))) (sqrt (* (* re re) (* re re))) (* (* re re) (* re re)) (* re re) (* (* (neg (* 1/2 2)) (cos re)) (sinh im)) (* (neg im) (cos re)) (neg im))
4.0ms
im
@0
((* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* im (- (* (* (* (cos re) -1/6) im) im) (cos re))) im (- (* (* (* (cos re) -1/6) im) im) (cos re)) (* (* (* (cos re) -1/6) im) im) (* (* (cos re) -1/6) im) (* (cos re) -1/6) (cos re) re -1/6 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* (cos re) (neg im)) (* im (+ (* (* 1/2 re) re) -1)) (+ (* (* 1/2 re) re) -1) (* 1/2 re) 1/2 -1 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* im (- (* -1/6 (* (* im im) (cos re))) (cos re))) (- (* -1/6 (* (* im im) (cos re))) (cos re)) (* -1/6 (* (* im im) (cos re))) (* (* im im) (cos re)) (* im im) (cos re) 1 (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (* -1 (* im (cos re))) (+ (* -1 im) (* 1/2 (* im (sqrt (* (* re re) (* re re)))))) (* 1/2 (* im (sqrt (* (* re re) (* re re))))) (* im (sqrt (* (* re re) (* re re)))) (sqrt (* (* re re) (* re re))) (* (* re re) (* re re)) (* re re) (* (* (neg (* 1/2 2)) (cos re)) (sinh im)) (* (neg im) (cos re)) (neg im))

rewrite1.4s (13%)

Memory
8.4MiB live, 1 048.4MiB allocated; 150ms collecting garbage
Counts
36 → 1 120
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 im (-.f64 (*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal -1/6 binary64)) im) im) (cos.f64 re))))
(*.f64 im (-.f64 (*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal -1/6 binary64)) im) im) (cos.f64 re)))
im
(-.f64 (*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal -1/6 binary64)) im) im) (cos.f64 re))
(*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal -1/6 binary64)) im) im)
(*.f64 (*.f64 (cos.f64 re) #s(literal -1/6 binary64)) im)
(*.f64 (cos.f64 re) #s(literal -1/6 binary64))
(cos.f64 re)
re
#s(literal -1/6 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (cos re) (neg im)) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
#s(approx (* (cos re) (neg im)) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))))
(*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) re)
#s(literal 1/2 binary64)
#s(literal -1 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) #s(approx (cos re) #s(literal 1 binary64)))) #s(approx (cos re) #s(literal 1 binary64)))))
(*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) #s(approx (cos re) #s(literal 1 binary64)))) #s(approx (cos re) #s(literal 1 binary64))))
(-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) #s(approx (cos re) #s(literal 1 binary64)))) #s(approx (cos re) #s(literal 1 binary64)))
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) #s(approx (cos re) #s(literal 1 binary64))))
(*.f64 (*.f64 im im) #s(approx (cos re) #s(literal 1 binary64)))
(*.f64 im im)
#s(approx (cos re) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re))))))))
#s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re)))))))
(fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re)))))
(*.f64 im (sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re))))
(sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re)))
(*.f64 (*.f64 re re) (*.f64 re re))
(*.f64 re re)
#s(approx (* (* (neg (* 1/2 2)) (cos re)) (sinh im)) (*.f64 (neg.f64 im) (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(neg.f64 im)
Outputs
#s(approx (* (* (* 2 1/2) (cos re)) (sinh (neg im))) (*.f64 (*.f64 (fma.f64 (*.f64 im #s(literal -1/6 binary64)) (neg.f64 im) #s(literal 1 binary64)) (cos.f64 re)) (neg.f64 im)))
(*.f64 im (neg.f64 (*.f64 (fma.f64 (*.f64 im #s(literal -1/6 binary64)) (neg.f64 im) #s(literal 1 binary64)) (cos.f64 re))))
(*.f64 (*.f64 (fma.f64 (*.f64 im #s(literal -1/6 binary64)) (neg.f64 im) #s(literal 1 binary64)) (cos.f64 re)) (neg.f64 im))
(*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 im #s(literal -1/6 binary64)) (neg.f64 im) #s(literal 1 binary64)) (cos.f64 re))) im)
(*.f64 (neg.f64 im) (*.f64 (fma.f64 (*.f64 im #s(literal -1/6 binary64)) (neg.f64 im) #s(literal 1 binary64)) (cos.f64 re)))
(+.f64 (*.f64 (*.f64 (*.f64 im #s(literal -1/6 binary64)) im) (*.f64 (cos.f64 re) im)) (*.f64 (neg.f64 im) (cos.f64 re)))
(+.f64 (fma.f64 (*.f64 im (*.f64 (*.f64 im #s(literal -1/6 binary64)) im)) (cos.f64 re) #s(literal 0 binary64)) (*.f64 (neg.f64 im) (cos.f64 re)))
(+.f64 (*.f64 (neg.f64 im) (cos.f64 re)) (*.f64 (*.f64 (*.f64 im #s(literal -1/6 binary64)) im) (*.f64 (cos.f64 re) im)))
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im #s(literal -1/6 binary64)) (neg.f64 im) #s(literal 1 binary64)) (cos.f64 re)) (neg.f64 im)) (*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 im #s(literal -1/6 binary64)) (neg.f64 im) #s(literal 1 binary64)) (cos.f64 re))) #s(literal 0 binary64)))
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im #s(literal -1/6 binary64)) (neg.f64 im) #s(literal 1 binary64)) (cos.f64 re)) (neg.f64 im)) (*.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (fma.f64 (*.f64 im #s(literal -1/6 binary64)) (neg.f64 im) #s(literal 1 binary64)) (cos.f64 re)))))
(-.f64 (*.f64 (*.f64 (*.f64 im #s(literal -1/6 binary64)) im) (*.f64 (cos.f64 re) im)) (*.f64 (*.f64 (neg.f64 im) (cos.f64 re)) #s(literal -1 binary64)))
(-.f64 (*.f64 (*.f64 (*.f64 im #s(literal -1/6 binary64)) im) (*.f64 (cos.f64 re) im)) (*.f64 (neg.f64 im) (neg.f64 (cos.f64 re))))
(-.f64 (*.f64 (*.f64 (*.f64 im #s(literal -1/6 binary64)) im) (*.f64 (cos.f64 re) im)) (*.f64 (cos.f64 re) im))
(-.f64 (*.f64 (*.f64 (*.f64 im #s(literal -1/6 binary64)) im) (*.f64 (cos.f64 re) im)) (*.f64 (neg.f64 #s(literal -1 binary64)) (*.f64 (cos.f64 re) im)))
(-.f64 (*.f64 (*.f64 (*.f64 im #s(literal -1/6 binary64)) im) (*.f64 (cos.f64 re) im)) (*.f64 (neg.f64 (cos.f64 re)) (neg.f64 im)))
(fma.f64 (*.f64 (*.f64 im #s(literal -1/6 binary64)) im) (*.f64 (cos.f64 re) im) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (*.f64 (*.f64 im #s(literal -1/6 binary64)) (cos.f64 re)) (*.f64 im im) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (*.f64 (*.f64 im im) (cos.f64 re)) (*.f64 im #s(literal -1/6 binary64)) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (*.f64 (cos.f64 re) #s(literal -1/6 binary64)) (*.f64 (*.f64 im im) im) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (*.f64 (cos.f64 re) im) (*.f64 (*.f64 im #s(literal -1/6 binary64)) im) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (*.f64 im (*.f64 im im)) (*.f64 (cos.f64 re) #s(literal -1/6 binary64)) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (*.f64 im #s(literal -1/6 binary64)) (*.f64 (*.f64 im im) (cos.f64 re)) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (*.f64 im im) (*.f64 (*.f64 im #s(literal -1/6 binary64)) (cos.f64 re)) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (*.f64 (*.f64 (*.f64 im #s(literal -1/6 binary64)) im) (neg.f64 (cos.f64 re))) (neg.f64 im) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal -1/6 binary64)) (fabs.f64 im)) (*.f64 (fabs.f64 im) im) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (*.f64 (neg.f64 (*.f64 im #s(literal -1/6 binary64))) (cos.f64 re)) (neg.f64 (*.f64 im im)) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (*.f64 im (*.f64 (*.f64 im #s(literal -1/6 binary64)) im)) (cos.f64 re) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (*.f64 im (*.f64 (*.f64 im im) (cos.f64 re))) #s(literal -1/6 binary64) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (*.f64 (*.f64 (*.f64 im #s(literal -1/6 binary64)) (cos.f64 re)) im) im (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 im im) (cos.f64 re)) im) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (cos.f64 re) (*.f64 (*.f64 (*.f64 im #s(literal -1/6 binary64)) im) im) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 im (*.f64 (*.f64 (*.f64 im #s(literal -1/6 binary64)) (cos.f64 re)) im) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (neg.f64 im) (cos.f64 re) (*.f64 (*.f64 (*.f64 im #s(literal -1/6 binary64)) im) (*.f64 (cos.f64 re) im)))
(fma.f64 (neg.f64 (cos.f64 re)) im (*.f64 (*.f64 (*.f64 im #s(literal -1/6 binary64)) im) (*.f64 (cos.f64 re) im)))
(fma.f64 (*.f64 (cos.f64 re) im) #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 im #s(literal -1/6 binary64)) im) (*.f64 (cos.f64 re) im)))
(fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 re) im) (*.f64 (*.f64 (*.f64 im #s(literal -1/6 binary64)) im) (*.f64 (cos.f64 re) im)))
(fma.f64 im (neg.f64 (cos.f64 re)) (*.f64 (*.f64 (*.f64 im #s(literal -1/6 binary64)) im) (*.f64 (cos.f64 re) im)))
(fma.f64 (cos.f64 re) (neg.f64 im) (*.f64 (*.f64 (*.f64 im #s(literal -1/6 binary64)) im) (*.f64 (cos.f64 re) im)))
(fma.f64 (*.f64 im (*.f64 (*.f64 (cos.f64 re) #s(literal -1/6 binary64)) (fabs.f64 im))) (fabs.f64 im) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 im (neg.f64 (*.f64 (fma.f64 (*.f64 im #s(literal -1/6 binary64)) (neg.f64 im) #s(literal 1 binary64)) (cos.f64 re))) (*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 im #s(literal -1/6 binary64)) (neg.f64 im) #s(literal 1 binary64)) (cos.f64 re))) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 im #s(literal -1/6 binary64)) (neg.f64 im) #s(literal 1 binary64)) (cos.f64 re))) im (*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 im #s(literal -1/6 binary64)) (neg.f64 im) #s(literal 1 binary64)) (cos.f64 re))) #s(literal 0 binary64)))
(fma.f64 (*.f64 (fma.f64 (*.f64 im #s(literal -1/6 binary64)) (neg.f64 im) #s(literal 1 binary64)) (cos.f64 re)) (neg.f64 im) (*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 im #s(literal -1/6 binary64)) (neg.f64 im) #s(literal 1 binary64)) (cos.f64 re))) #s(literal 0 binary64)))
(fma.f64 (neg.f64 im) (*.f64 (fma.f64 (*.f64 im #s(literal -1/6 binary64)) (neg.f64 im) #s(literal 1 binary64)) (cos.f64 re)) (*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 im #s(literal -1/6 binary64)) (neg.f64 im) #s(literal 1 binary64)) (cos.f64 re))) #s(literal 0 binary64)))
(fma.f64 im (neg.f64 (*.f64 (fma.f64 (*.f64 im #s(literal -1/6 binary64)) (neg.f64 im) #s(literal 1 binary64)) (cos.f64 re))) (*.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (fma.f64 (*.f64 im #s(literal -1/6 binary64)) (neg.f64 im) #s(literal 1 binary64)) (cos.f64 re)))))
(fma.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 im #s(literal -1/6 binary64)) (neg.f64 im) #s(literal 1 binary64)) (cos.f64 re))) im (*.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (fma.f64 (*.f64 im #s(literal -1/6 binary64)) (neg.f64 im) #s(literal 1 binary64)) (cos.f64 re)))))
(fma.f64 (*.f64 (fma.f64 (*.f64 im #s(literal -1/6 binary64)) (neg.f64 im) #s(literal 1 binary64)) (cos.f64 re)) (neg.f64 im) (*.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (fma.f64 (*.f64 im #s(literal -1/6 binary64)) (neg.f64 im) #s(literal 1 binary64)) (cos.f64 re)))))
(fma.f64 (neg.f64 im) (*.f64 (fma.f64 (*.f64 im #s(literal -1/6 binary64)) (neg.f64 im) #s(literal 1 binary64)) (cos.f64 re)) (*.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (fma.f64 (*.f64 im #s(literal -1/6 binary64)) (neg.f64 im) #s(literal 1 binary64)) (cos.f64 re)))))
(neg.f64 (*.f64 (*.f64 (fma.f64 (*.f64 im #s(literal -1/6 binary64)) (neg.f64 im) #s(literal 1 binary64)) (cos.f64 re)) im))
(neg.f64 (*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 im #s(literal -1/6 binary64)) (neg.f64 im) #s(literal 1 binary64)) (cos.f64 re))) (neg.f64 im)))
(neg.f64 (*.f64 (neg.f64 im) (neg.f64 (*.f64 (fma.f64 (*.f64 im #s(literal -1/6 binary64)) (neg.f64 im) #s(literal 1 binary64)) (cos.f64 re)))))
im
(*.f64 (neg.f64 #s(literal -1 binary64)) im)
(*.f64 (neg.f64 im) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 im))
(*.f64 im (neg.f64 #s(literal -1 binary64)))
(+.f64 im #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) im)
(+.f64 (*.f64 #s(literal 0 binary64) #s(literal -1 binary64)) im)
(+.f64 (*.f64 #s(literal -1 binary64) #s(literal 0 binary64)) im)
(+.f64 im (*.f64 #s(literal 0 binary64) #s(literal -1 binary64)))
(+.f64 im (*.f64 #s(literal -1 binary64) #s(literal 0 binary64)))
(+.f64 im (*.f64 #s(literal 0 binary64) (neg.f64 #s(literal -1 binary64))))
(+.f64 im (*.f64 (neg.f64 #s(literal -1 binary64)) #s(literal 0 binary64)))
(-.f64 im #s(literal 0 binary64))
(/.f64 (-.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal -1 binary64) im)
(fma.f64 #s(literal -1 binary64) #s(literal 0 binary64) im)
(fma.f64 #s(literal 2 binary64) #s(literal 0 binary64) im)
(fma.f64 (neg.f64 #s(literal -1 binary64)) im (*.f64 #s(literal 0 binary64) #s(literal -1 binary64)))
(fma.f64 (neg.f64 #s(literal -1 binary64)) im (*.f64 #s(literal -1 binary64) #s(literal 0 binary64)))
(fma.f64 (neg.f64 #s(literal -1 binary64)) im #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 0 binary64) #s(literal -1 binary64)) im im)
(fma.f64 (neg.f64 im) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) #s(literal -1 binary64)))
(fma.f64 (neg.f64 im) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) #s(literal 0 binary64)))
(fma.f64 (neg.f64 im) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 im) #s(literal 0 binary64) im)
(fma.f64 (*.f64 #s(literal 0 binary64) im) #s(literal -1 binary64) im)
(fma.f64 (cos.f64 re) #s(literal 0 binary64) im)
(fma.f64 (cosh.f64 im) #s(literal 0 binary64) im)
(fma.f64 (sinh.f64 im) #s(literal 0 binary64) im)
(fma.f64 #s(literal -1 binary64) (neg.f64 im) (*.f64 #s(literal 0 binary64) #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 im) (*.f64 #s(literal -1 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 im) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 im #s(literal 0 binary64)) im)
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) #s(literal 0 binary64)) im)
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) #s(literal 1 binary64)) im)
(fma.f64 #s(literal 0 binary64) (neg.f64 im) im)
(fma.f64 #s(literal 0 binary64) (cosh.f64 im) im)
(fma.f64 #s(literal 0 binary64) (cos.f64 re) im)
(fma.f64 #s(literal 0 binary64) (sinh.f64 im) im)
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) im)
(fma.f64 im (neg.f64 #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) #s(literal -1 binary64)))
(fma.f64 im (neg.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) #s(literal 0 binary64)))
(fma.f64 im (neg.f64 #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 im (*.f64 #s(literal -1 binary64) #s(literal 0 binary64)) im)
(fma.f64 (sinh.f64 (neg.f64 im)) #s(literal 0 binary64) im)
(fma.f64 #s(literal 0 binary64) (sinh.f64 (neg.f64 im)) im)
(fma.f64 (neg.f64 im) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 #s(literal -1 binary64))))
(fma.f64 (neg.f64 im) #s(literal -1 binary64) (*.f64 (neg.f64 #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 #s(literal -1 binary64)) im (*.f64 #s(literal 0 binary64) (neg.f64 #s(literal -1 binary64))))
(fma.f64 (neg.f64 #s(literal -1 binary64)) im (*.f64 (neg.f64 #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 im (neg.f64 #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 #s(literal -1 binary64))))
(fma.f64 im (neg.f64 #s(literal -1 binary64)) (*.f64 (neg.f64 #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 im) (*.f64 #s(literal 0 binary64) (neg.f64 #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (neg.f64 im) (*.f64 (neg.f64 #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) im)
(neg.f64 (neg.f64 im))
(neg.f64 (*.f64 (neg.f64 #s(literal -1 binary64)) (neg.f64 im)))
(+.f64 (*.f64 (*.f64 (*.f64 im #s(literal -1/6 binary64)) (cos.f64 re)) im) (neg.f64 (cos.f64 re)))
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(*.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (neg.f64 (neg.f64 (fabs.f64 re))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (fabs.f64 re))
(*.f64 (fabs.f64 re) (neg.f64 (neg.f64 (fabs.f64 re))))
(fabs.f64 (*.f64 re re))
(fabs.f64 (neg.f64 (*.f64 re re)))
(fabs.f64 (*.f64 (fabs.f64 re) (neg.f64 re)))
(fabs.f64 (*.f64 (fabs.f64 re) re))
(neg.f64 (neg.f64 (*.f64 re re)))
(pow.f64 re #s(literal 2 binary64))
(pow.f64 (*.f64 re re) #s(literal 1 binary64))
(pow.f64 (neg.f64 re) #s(literal 2 binary64))
(pow.f64 (fabs.f64 re) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 re re) (*.f64 re re))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
(pow.f64 (neg.f64 (fabs.f64 re)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re)))
#s(approx (* (* (* 2 1/2) (cos re)) (sinh (neg im))) (*.f64 (neg.f64 im) (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(*.f64 (cos.f64 re) (neg.f64 im))
(*.f64 (*.f64 (cos.f64 re) im) #s(literal -1 binary64))
(*.f64 (neg.f64 (cos.f64 re)) im)
(*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 re) im))
(*.f64 im (neg.f64 (cos.f64 re)))
(+.f64 (*.f64 (neg.f64 im) (cos.f64 re)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 im) (cos.f64 re)))
(+.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (neg.f64 im)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1 binary64)) (neg.f64 im)))
(+.f64 (*.f64 (neg.f64 im) (*.f64 (sin.f64 re) #s(literal 0 binary64))) (*.f64 (neg.f64 im) (*.f64 (cos.f64 re) #s(literal 1 binary64))))
(+.f64 (*.f64 (neg.f64 im) (cos.f64 re)) (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 re))))
(+.f64 (*.f64 (neg.f64 im) (cos.f64 re)) (*.f64 (neg.f64 (cos.f64 re)) #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 re) im))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 im) (cos.f64 re)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 im) (neg.f64 (cos.f64 re))))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 #s(literal -1 binary64)) (*.f64 (cos.f64 re) im)))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (cos.f64 re)) (neg.f64 im)))
(fma.f64 (neg.f64 im) (cos.f64 re) #s(literal 0 binary64))
(fma.f64 (cos.f64 re) (neg.f64 im) #s(literal 0 binary64))
(fma.f64 (*.f64 (cos.f64 re) im) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 (cos.f64 re)) im #s(literal 0 binary64))
(fma.f64 (sinh.f64 (neg.f64 im)) #s(literal 0 binary64) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 re) im) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) (sinh.f64 (neg.f64 im)) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 im (neg.f64 (cos.f64 re)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 0 binary64) im) #s(literal -1 binary64) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (cos.f64 re) #s(literal 0 binary64) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (cosh.f64 im) #s(literal 0 binary64) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (sinh.f64 im) #s(literal 0 binary64) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (neg.f64 im) #s(literal 0 binary64) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 #s(literal 2 binary64) #s(literal 0 binary64) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (*.f64 #s(literal 0 binary64) #s(literal -1 binary64)) im (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 #s(literal 0 binary64) (neg.f64 im) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) #s(literal 1 binary64)) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 im (*.f64 #s(literal -1 binary64) #s(literal 0 binary64)) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 #s(literal -1 binary64) (*.f64 im #s(literal 0 binary64)) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 #s(literal 0 binary64) (cos.f64 re) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 #s(literal 0 binary64) (cosh.f64 im) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 #s(literal 0 binary64) (sinh.f64 im) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (neg.f64 im) (cos.f64 re)))
(fma.f64 (neg.f64 im) (*.f64 (sin.f64 re) #s(literal 0 binary64)) (*.f64 (neg.f64 im) (*.f64 (cos.f64 re) #s(literal 1 binary64))))
(fma.f64 (neg.f64 im) (cos.f64 re) (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 re))))
(fma.f64 (neg.f64 im) (cos.f64 re) (*.f64 (neg.f64 (cos.f64 re)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (cos.f64 re)) im (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 re))))
(fma.f64 (neg.f64 (cos.f64 re)) im (*.f64 (neg.f64 (cos.f64 re)) #s(literal 0 binary64)))
(fma.f64 (*.f64 (cos.f64 re) im) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 re))))
(fma.f64 (*.f64 (cos.f64 re) im) #s(literal -1 binary64) (*.f64 (neg.f64 (cos.f64 re)) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 re) im) (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 re))))
(fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 re) im) (*.f64 (neg.f64 (cos.f64 re)) #s(literal 0 binary64)))
(fma.f64 im (neg.f64 (cos.f64 re)) (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 re))))
(fma.f64 im (neg.f64 (cos.f64 re)) (*.f64 (neg.f64 (cos.f64 re)) #s(literal 0 binary64)))
(fma.f64 (*.f64 (sin.f64 re) #s(literal 0 binary64)) (neg.f64 im) (*.f64 (*.f64 (cos.f64 re) #s(literal 1 binary64)) (neg.f64 im)))
(fma.f64 (cos.f64 re) (neg.f64 im) (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 re))))
(fma.f64 (cos.f64 re) (neg.f64 im) (*.f64 (neg.f64 (cos.f64 re)) #s(literal 0 binary64)))
(neg.f64 (*.f64 (cos.f64 re) im))
(neg.f64 (*.f64 (neg.f64 (cos.f64 re)) (neg.f64 im)))
(neg.f64 (*.f64 (neg.f64 im) (neg.f64 (cos.f64 re))))
(*.f64 im #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) im)
(+.f64 (neg.f64 im) (*.f64 #s(literal 0 binary64) #s(literal -1 binary64)))
(+.f64 (neg.f64 im) (*.f64 #s(literal -1 binary64) #s(literal 0 binary64)))
(+.f64 (neg.f64 im) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (neg.f64 im))
(-.f64 #s(literal 0 binary64) im)
(-.f64 (neg.f64 im) #s(literal 0 binary64))
(/.f64 (fma.f64 (neg.f64 im) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))
(fma.f64 im #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) im #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 0 binary64) #s(literal -1 binary64)) im (neg.f64 im))
(fma.f64 (neg.f64 im) #s(literal 0 binary64) (neg.f64 im))
(fma.f64 (*.f64 #s(literal 0 binary64) im) #s(literal -1 binary64) (neg.f64 im))
(fma.f64 (cos.f64 re) #s(literal 0 binary64) (neg.f64 im))
(fma.f64 (cosh.f64 im) #s(literal 0 binary64) (neg.f64 im))
(fma.f64 (sinh.f64 im) #s(literal 0 binary64) (neg.f64 im))
(fma.f64 #s(literal -1 binary64) (*.f64 im #s(literal 0 binary64)) (neg.f64 im))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (neg.f64 im))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) #s(literal 1 binary64)) (neg.f64 im))
(fma.f64 #s(literal 0 binary64) (neg.f64 im) (neg.f64 im))
(fma.f64 #s(literal 0 binary64) (cosh.f64 im) (neg.f64 im))
(fma.f64 #s(literal 0 binary64) (cos.f64 re) (neg.f64 im))
(fma.f64 #s(literal 0 binary64) (sinh.f64 im) (neg.f64 im))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (neg.f64 im))
(fma.f64 im (*.f64 #s(literal -1 binary64) #s(literal 0 binary64)) (neg.f64 im))
(fma.f64 im #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) #s(literal -1 binary64)))
(fma.f64 im #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) #s(literal 0 binary64) (neg.f64 im))
(fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 0 binary64) #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal -1 binary64) #s(literal 0 binary64)))
(fma.f64 (sinh.f64 (neg.f64 im)) #s(literal 0 binary64) (neg.f64 im))
(fma.f64 #s(literal 0 binary64) (sinh.f64 (neg.f64 im)) (neg.f64 im))
(fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 (sinh.f64 im) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (neg.f64 im))
(neg.f64 im)

eval260.0ms (2.5%)

Memory
4.6MiB live, 421.2MiB allocated; 102ms collecting garbage
Compiler

Compiled 13 457 to 6 466 computations (52% saved)

prune58.0ms (0.6%)

Memory
20.7MiB live, 128.5MiB allocated; 36ms collecting garbage
Pruning

19 alts after pruning (12 fresh and 7 done)

PrunedKeptTotal
New1 35841 362
Fresh4812
Picked055
Done022
Total1 362191 381
Accuracy
99.9%
Counts
1 381 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(*.f64 (*.f64 (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64))
63.4%
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re #s(literal -1/4 binary64)) re #s(literal 1/2 binary64))) (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im)))
81.5%
#s(approx (* (* (neg (* 1/2 2)) (cos re)) (sinh im)) (*.f64 (*.f64 im (cos.f64 re)) (fma.f64 (*.f64 im #s(literal -1/6 binary64)) im #s(literal -1 binary64))))
29.8%
#s(approx (* (* (neg (* 1/2 2)) (cos re)) (sinh im)) (*.f64 (neg.f64 im) (sin.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 re (PI.f64)))))))
50.6%
#s(approx (* (* (neg (* 1/2 2)) (cos re)) (sinh im)) (*.f64 (neg.f64 im) (cos.f64 re)))
64.5%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im)) #s(literal 1/2 binary64)))
81.6%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 im (-.f64 (*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal -1/6 binary64)) im) im) (cos.f64 re))))
72.0%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 im (-.f64 (*.f64 (*.f64 #s(approx (* (cos re) -1/6) #s(literal -1/6 binary64)) im) im) (cos.f64 re))))
51.4%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) #s(approx (cos re) #s(literal 1 binary64)))) #s(approx (cos re) #s(literal 1 binary64)))))
4.5%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (sqrt.f64 #s(approx (exp (+ im im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) im)))))))
5.0%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) #s(approx (+ 1 im) (*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))))))))
10.5%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
40.1%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (exp.f64 im))))
5.2%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
29.3%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) #s(approx (* im (cos re)) im)))
39.3%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (cos re) (neg im)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 im re)) im)))
39.3%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (cos re) (neg im)) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
51.0%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* im (- (* (* (* (cos re) -1/6) im) im) (cos re))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal -1/6 binary64) (cos.f64 re))))))
39.5%
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re))))))))
Compiler

Compiled 726 to 606 computations (16.5% saved)

regimes98.0ms (0.9%)

Memory
-16.9MiB live, 124.3MiB allocated; 24ms collecting garbage
Counts
33 → 1
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) #s(approx (* im (cos re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (cos re) (neg im)) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (cos re) (neg im)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 im re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) re) re (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (*.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) re) re))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) #s(approx (cos re) #s(literal 1 binary64)))) #s(approx (cos re) #s(literal 1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (sqrt.f64 #s(approx (exp (+ im im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) im)))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) #s(approx (+ 1 im) (*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re #s(literal -1/4 binary64)) re #s(literal 1/2 binary64))) (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (sqrt.f64 (exp.f64 (+.f64 im im))))))
#s(approx (* (* (neg (* 1/2 2)) (cos re)) (sinh im)) (*.f64 (neg.f64 im) (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 im (-.f64 (*.f64 (*.f64 #s(approx (* (cos re) -1/6) #s(literal -1/6 binary64)) im) im) (cos.f64 re))))
#s(approx (* (* (neg (* 1/2 2)) (cos re)) (sinh im)) (*.f64 (neg.f64 im) (sin.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 re (PI.f64)))))))
#s(approx (* (* (neg (* 1/2 2)) (cos re)) (sinh im)) (*.f64 (*.f64 im (cos.f64 re)) (fma.f64 (*.f64 im #s(literal -1/6 binary64)) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 re (PI.f64))))))))
(*.f64 #s(approx (* 1/2 (cos re)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(*.f64 (*.f64 (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 im (-.f64 (*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal -1/6 binary64)) im) im) (cos.f64 re))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) (cos.f64 re))) (cos.f64 re))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* im (+ (* -1 (cos re)) (* -1/6 (* (pow im 2) (cos re))))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal -1/6 binary64) (cos.f64 re))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* im (- (* -1/6 (* (* im im) (cos re))) (cos re))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal -1/6 binary64) (cos.f64 re))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* im (- (* (* (* (cos re) -1/6) im) im) (cos re))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal -1/6 binary64) (cos.f64 re))))))
Outputs
(*.f64 (*.f64 (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im)) (cos.f64 re)) #s(literal 1/2 binary64))
Calls

6 calls:

33.0ms
re
19.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
14.0ms
(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
12.0ms
im
9.0ms
(cos.f64 re)
Results
AccuracySegmentsBranch
99.9%1(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
99.9%1(cos.f64 re)
99.9%1(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
99.9%1(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
99.9%1re
99.9%1im
Compiler

Compiled 25 to 30 computations (-20% saved)

regimes46.0ms (0.4%)

Memory
11.7MiB live, 103.4MiB allocated; 8ms collecting garbage
Counts
25 → 3
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) #s(approx (* im (cos re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (cos re) (neg im)) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (cos re) (neg im)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 im re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) re) re (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (*.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) re) re))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) #s(approx (cos re) #s(literal 1 binary64)))) #s(approx (cos re) #s(literal 1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (sqrt.f64 #s(approx (exp (+ im im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) im)))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) #s(approx (+ 1 im) (*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re #s(literal -1/4 binary64)) re #s(literal 1/2 binary64))) (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (sqrt.f64 (exp.f64 (+.f64 im im))))))
#s(approx (* (* (neg (* 1/2 2)) (cos re)) (sinh im)) (*.f64 (neg.f64 im) (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 im (-.f64 (*.f64 (*.f64 #s(approx (* (cos re) -1/6) #s(literal -1/6 binary64)) im) im) (cos.f64 re))))
#s(approx (* (* (neg (* 1/2 2)) (cos re)) (sinh im)) (*.f64 (neg.f64 im) (sin.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 re (PI.f64)))))))
#s(approx (* (* (neg (* 1/2 2)) (cos re)) (sinh im)) (*.f64 (*.f64 im (cos.f64 re)) (fma.f64 (*.f64 im #s(literal -1/6 binary64)) im #s(literal -1 binary64))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 re (PI.f64))))))))
(*.f64 #s(approx (* 1/2 (cos re)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Outputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im)) #s(literal 1/2 binary64)))
#s(approx (* (* (neg (* 1/2 2)) (cos re)) (sinh im)) (*.f64 (*.f64 im (cos.f64 re)) (fma.f64 (*.f64 im #s(literal -1/6 binary64)) im #s(literal -1 binary64))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re #s(literal -1/4 binary64)) re #s(literal 1/2 binary64))) (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im)))
Calls

6 calls:

10.0ms
re
10.0ms
(cos.f64 re)
7.0ms
im
7.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
5.0ms
(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
Results
AccuracySegmentsBranch
86.9%2(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
89.8%2(cos.f64 re)
89.8%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
99.8%3(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
89.8%2re
94.7%3im
Compiler

Compiled 25 to 30 computations (-20% saved)

regimes6.0ms (0.1%)

Memory
14.1MiB live, 14.1MiB allocated; 0ms collecting garbage
Counts
22 → 3
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) #s(approx (* im (cos re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (cos re) (neg im)) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (cos re) (neg im)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 im re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) re) re (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (*.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) re) re))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) #s(approx (cos re) #s(literal 1 binary64)))) #s(approx (cos re) #s(literal 1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (sqrt.f64 #s(approx (exp (+ im im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) im)))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) #s(approx (+ 1 im) (*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re #s(literal -1/4 binary64)) re #s(literal 1/2 binary64))) (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (sqrt.f64 (exp.f64 (+.f64 im im))))))
#s(approx (* (* (neg (* 1/2 2)) (cos re)) (sinh im)) (*.f64 (neg.f64 im) (cos.f64 re)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 im (-.f64 (*.f64 (*.f64 #s(approx (* (cos re) -1/6) #s(literal -1/6 binary64)) im) im) (cos.f64 re))))
#s(approx (* (* (neg (* 1/2 2)) (cos re)) (sinh im)) (*.f64 (neg.f64 im) (sin.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 re (PI.f64)))))))
Outputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im)) #s(literal 1/2 binary64)))
#s(approx (* (* (neg (* 1/2 2)) (cos re)) (sinh im)) (*.f64 (neg.f64 im) (cos.f64 re)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re #s(literal -1/4 binary64)) re #s(literal 1/2 binary64))) (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im)))
Calls

1 calls:

5.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
99.5%3(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Compiler

Compiled 11 to 11 computations (0% saved)

regimes69.0ms (0.7%)

Memory
-19.7MiB live, 79.3MiB allocated; 16ms collecting garbage
Counts
18 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) #s(approx (* im (cos re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (cos re) (neg im)) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (cos re) (neg im)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 im re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) re) re (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (*.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) re) re))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) #s(approx (cos re) #s(literal 1 binary64)))) #s(approx (cos re) #s(literal 1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (sqrt.f64 #s(approx (exp (+ im im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) im)))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) #s(approx (+ 1 im) (*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re #s(literal -1/4 binary64)) re #s(literal 1/2 binary64))) (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (sqrt.f64 (exp.f64 (+.f64 im im))))))
Outputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im)) #s(literal 1/2 binary64)))
(*.f64 #s(approx (* 1/2 (cos re)) (fma.f64 (*.f64 re #s(literal -1/4 binary64)) re #s(literal 1/2 binary64))) (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im)))
Calls

6 calls:

30.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
17.0ms
(cos.f64 re)
6.0ms
im
6.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
5.0ms
re
Results
AccuracySegmentsBranch
66.0%2(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
78.8%2(cos.f64 re)
78.8%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
67.2%2re
70.3%3im
78.9%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Compiler

Compiled 25 to 30 computations (-20% saved)

regimes17.0ms (0.2%)

Memory
-6.6MiB live, 39.9MiB allocated; 2ms collecting garbage
Counts
16 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) #s(approx (* im (cos re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (cos re) (neg im)) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (cos re) (neg im)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 im re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) re) re (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (*.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) re) re))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) #s(approx (cos re) #s(literal 1 binary64)))) #s(approx (cos re) #s(literal 1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (exp.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (sqrt.f64 #s(approx (exp (+ im im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) im)))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) #s(approx (+ 1 im) (*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
Outputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re))))))))
Calls

3 calls:

7.0ms
(cos.f64 re)
5.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
4.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
78.0%2(cos.f64 re)
78.0%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
78.2%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Compiler

Compiled 17 to 19 computations (-11.8% saved)

regimes10.0ms (0.1%)

Memory
29.7MiB live, 29.7MiB allocated; 0ms collecting garbage
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) #s(approx (* im (cos re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (cos re) (neg im)) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (cos re) (neg im)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 im re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) re) re (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (*.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) re) re))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) #s(approx (cos re) #s(literal 1 binary64)))) #s(approx (cos re) #s(literal 1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) (exp.f64 im))))
Outputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 (*.f64 (neg.f64 #s(literal 2 binary64)) (sinh.f64 im)) #s(literal 1/2 binary64)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (cos re) (neg im)) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
Calls

3 calls:

3.0ms
(cos.f64 re)
3.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
3.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
77.7%2(cos.f64 re)
77.7%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
77.8%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Compiler

Compiled 17 to 19 computations (-11.8% saved)

regimes16.0ms (0.1%)

Memory
-4.0MiB live, 43.2MiB allocated; 2ms collecting garbage
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) #s(approx (* im (cos re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (cos re) (neg im)) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (cos re) (neg im)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 im re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) re) re (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (*.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) re) re))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) #s(approx (cos re) #s(literal 1 binary64)))) #s(approx (cos re) #s(literal 1 binary64)))))
Outputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 im im) #s(approx (cos re) #s(literal 1 binary64)))) #s(approx (cos re) #s(literal 1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (cos re) (neg im)) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
Calls

6 calls:

3.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
3.0ms
re
3.0ms
im
2.0ms
(cos.f64 re)
2.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
51.4%1(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
56.6%2re
56.5%3im
64.6%2(cos.f64 re)
64.6%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
64.7%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Compiler

Compiled 25 to 30 computations (-20% saved)

regimes14.0ms (0.1%)

Memory
-7.0MiB live, 40.1MiB allocated; 1ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) #s(approx (* im (cos re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (cos re) (neg im)) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (cos re) (neg im)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 im re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) re) re (neg.f64 im))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* -1 (* im (cos re))) (fma.f64 #s(literal -1 binary64) im (*.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) re) re))))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im)))))
Outputs
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) (*.f64 #s(literal -1 binary64) #s(approx (* im (cos re)) im)))
#s(approx (* (* 1/2 (cos re)) (- (exp (- 0 im)) (exp im))) #s(approx (* (cos re) (neg im)) (*.f64 im (fma.f64 (*.f64 #s(literal 1/2 binary64) re) re #s(literal -1 binary64)))))
Calls

6 calls:

3.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
2.0ms
im
2.0ms
re
2.0ms
(cos.f64 re)
2.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
41.9%2(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
41.9%2im
39.3%1re
42.5%2(cos.f64 re)
42.5%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
42.6%2(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Compiler

Compiled 25 to 30 computations (-20% saved)

regimes8.0ms (0.1%)

Memory
-27.2MiB live, 23.4MiB allocated; 3ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

6 calls:

3.0ms
re
1.0ms
im
1.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
1.0ms
(cos.f64 re)
1.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
29.3%1re
29.3%1(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
29.3%1im
29.3%1(cos.f64 re)
29.3%1(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
29.3%1(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Compiler

Compiled 25 to 30 computations (-20% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.257926691020105e-5
+inf
0.0ms
-0.0107229147884772
-9.046390044837818e-5
Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.257926691020105e-5
+inf
0.0ms
-0.0107229147884772
-9.046390044837818e-5
Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
7.257926691020105e-5
Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
7.257926691020105e-5
Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
7.257926691020105e-5
Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
7.257926691020105e-5
Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
7.257926691020105e-5
Compiler

Compiled 14 to 16 computations (-14.3% saved)

derivations2.0ms (0%)

Memory
7.6MiB live, 7.6MiB allocated; 0ms collecting garbage
Stop Event
fuel
Compiler

Compiled 145 to 92 computations (36.6% saved)

preprocess292.0ms (2.8%)

Memory
23.5MiB live, 414.2MiB allocated; 166ms collecting garbage
Remove

(negabs im)

(abs re)

Compiler

Compiled 2 256 to 1 875 computations (16.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

Loading profile data...