math.exp on complex, imaginary part

Time bar (total: 3.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB 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 7 to 7 computations (0% saved)

sample932.0ms (28.7%)

Memory
50.4MiB live, 1 261.5MiB allocated; 300ms collecting garbage
Samples
724.0ms8 255×0valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 424.0ms
ival-sin: 223.0ms (52.6% of total)
ival-exp: 140.0ms (33% of total)
ival-mult!: 60.0ms (14.1% of total)
adjust: 2.0ms (0.5% of total)
Bogosity

preprocess24.0ms (0.8%)

Memory
23.4MiB live, 23.4MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01634
14034
212032
341632
4169632
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (exp.f64 re) (sin.f64 im))
Symmetry

(negabs im)

Compiler

Compiled 10 to 10 computations (0% saved)

series18.0ms (0.6%)

Memory
-36.1MiB live, 7.8MiB allocated; 6ms collecting garbage
Counts
5 → 21
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) (sin.f64 im))
(exp.f64 re)
re
(sin.f64 im)
im
Outputs
#s(approx (* (exp re) (sin im)) #s(hole binary64 (sin im)))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (+ (sin im) (* re (sin im)))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))))
#s(approx (exp re) #s(hole binary64 1))
#s(approx (exp re) #s(hole binary64 (+ 1 re)))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx re #s(hole binary64 re))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* (exp re) (sin im))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* im (exp re))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))))
#s(approx (sin im) #s(hole binary64 im))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* -1/6 (pow im 2))))))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))))
#s(approx im #s(hole binary64 im))
#s(approx (sin im) #s(hole binary64 (sin im)))
Calls

6 calls:

TimeVariablePointExpression
14.0ms
im
@inf
((* (exp re) (sin im)) (exp re) re (sin im) im)
1.0ms
re
@inf
((* (exp re) (sin im)) (exp re) re (sin im) im)
1.0ms
re
@-inf
((* (exp re) (sin im)) (exp re) re (sin im) im)
1.0ms
im
@-inf
((* (exp re) (sin im)) (exp re) re (sin im) im)
1.0ms
im
@0
((* (exp re) (sin im)) (exp re) re (sin im) im)

rewrite190.0ms (5.8%)

Memory
42.2MiB live, 177.4MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095296
097295
1572284
05413264
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
26 → 35
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) (sin.f64 im))
(exp.f64 re)
re
(sin.f64 im)
im
#s(approx (* (exp re) (sin im)) #s(hole binary64 (sin im)))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (+ (sin im) (* re (sin im)))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))))
#s(approx (exp re) #s(hole binary64 1))
#s(approx (exp re) #s(hole binary64 (+ 1 re)))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx re #s(hole binary64 re))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* (exp re) (sin im))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* im (exp re))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))))
#s(approx (sin im) #s(hole binary64 im))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* -1/6 (pow im 2))))))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))))
#s(approx im #s(hole binary64 im))
#s(approx (sin im) #s(hole binary64 (sin im)))
Outputs
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(fma.f64 (cosh.f64 re) (sin.f64 im) (*.f64 (sinh.f64 re) (sin.f64 im)))
(fma.f64 (sin.f64 im) (cosh.f64 re) (*.f64 (sin.f64 im) (sinh.f64 re)))
(+.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) (*.f64 (sinh.f64 re) (sin.f64 im)))
(+.f64 (*.f64 (sin.f64 im) (cosh.f64 re)) (*.f64 (sin.f64 im) (sinh.f64 re)))
(/.f64 (-.f64 (*.f64 (cosh.f64 re) (cosh.f64 re)) (*.f64 (sinh.f64 re) (sinh.f64 re))) (-.f64 (cosh.f64 re) (sinh.f64 re)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64))) (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (*.f64 (sinh.f64 re) (sinh.f64 re)) (*.f64 (cosh.f64 re) (sinh.f64 re)))))
(exp.f64 re)
(+.f64 (sinh.f64 re) (cosh.f64 re))
(+.f64 (cosh.f64 re) (sinh.f64 re))
re
(sin.f64 im)
im
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (-.f64 re #s(literal -1 binary64)) (sin.f64 im)))
#s(approx (* (exp re) (sin im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (sin.f64 im)) re (sin.f64 im)))
#s(approx (* (exp re) (sin im)) (fma.f64 (sin.f64 im) (-.f64 re #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (sin.f64 im) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re)))
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (exp re) (-.f64 re #s(literal -1 binary64)))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx re re)
#s(approx (* (exp re) (sin im)) (*.f64 (sin.f64 im) (exp.f64 re)))
#s(approx (exp re) (exp.f64 re))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (* (exp re) (sin im)) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (exp.f64 re)) im))
#s(approx (* (exp re) (sin im)) (*.f64 (fma.f64 (*.f64 im im) (*.f64 (exp.f64 re) (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64))) (exp.f64 re)) im))
#s(approx (* (exp re) (sin im)) (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (exp.f64 re) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (exp.f64 re) (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64))) im) im) im) im)) im))
#s(approx (sin im) im)
#s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im))
#s(approx (sin im) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im))
#s(approx (sin im) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) im) im #s(literal 1 binary64)) im))
#s(approx im im)
#s(approx (sin im) (sin.f64 im))

eval3.0ms (0.1%)

Memory
6.2MiB live, 6.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 223 to 120 computations (46.2% saved)

prune597.0ms (18.4%)

Memory
-77.0MiB live, 144.7MiB allocated; 909ms collecting garbage
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New23730
Fresh000
Picked011
Done000
Total23831
Accuracy
100.0%
Counts
31 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.1%
(+.f64 (*.f64 (sin.f64 im) (cosh.f64 re)) (*.f64 (sin.f64 im) (sinh.f64 re)))
100.0%
(*.f64 (exp.f64 re) (sin.f64 im))
62.3%
(*.f64 (exp.f64 re) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
71.1%
(*.f64 (exp.f64 re) #s(approx (sin im) im))
65.7%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
55.9%
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (sin.f64 im))
63.5%
#s(approx (* (exp re) (sin im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (sin.f64 im)) re (sin.f64 im)))
55.5%
#s(approx (* (exp re) (sin im)) (sin.f64 im))
Compiler

Compiled 133 to 129 computations (3% saved)

series22.0ms (0.7%)

Memory
-2.1MiB live, 41.8MiB allocated; 5ms collecting garbage
Counts
23 → 72
Calls
Call 1
Inputs
(+.f64 (*.f64 (sin.f64 im) (cosh.f64 re)) (*.f64 (sin.f64 im) (sinh.f64 re)))
(*.f64 (sin.f64 im) (cosh.f64 re))
(sin.f64 im)
im
(cosh.f64 re)
re
(*.f64 (sin.f64 im) (sinh.f64 re))
(sinh.f64 re)
(*.f64 (exp.f64 re) #s(approx (sin im) im))
(exp.f64 re)
#s(approx (sin im) im)
(*.f64 (exp.f64 re) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im))
(*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 im im)
#s(literal -1/6 binary64)
#s(literal 1 binary64)
#s(approx (* (exp re) (sin im)) (sin.f64 im))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (sin.f64 im))
#s(approx (exp re) (-.f64 re #s(literal -1 binary64)))
(-.f64 re #s(literal -1 binary64))
#s(literal -1 binary64)
Outputs
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) #s(hole binary64 (sin im)))
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) #s(hole binary64 (+ (sin im) (* re (sin im)))))
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) #s(hole binary64 (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))))
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) #s(hole binary64 (+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))))
#s(approx (* (sin im) (cosh re)) #s(hole binary64 (sin im)))
#s(approx (* (sin im) (cosh re)) #s(hole binary64 (+ (sin im) (* 1/2 (* (pow re 2) (sin im))))))
#s(approx (* (sin im) (cosh re)) #s(hole binary64 (+ (sin im) (* (pow re 2) (+ (* 1/24 (* (pow re 2) (sin im))) (* 1/2 (sin im)))))))
#s(approx (* (sin im) (cosh re)) #s(hole binary64 (+ (sin im) (* (pow re 2) (+ (* 1/2 (sin im)) (* (pow re 2) (+ (* 1/720 (* (pow re 2) (sin im))) (* 1/24 (sin im)))))))))
#s(approx (cosh re) #s(hole binary64 1))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* 1/2 (pow re 2)))))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* 1/24 (pow re 2)))))))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* (pow re 2) (+ 1/24 (* 1/720 (pow re 2)))))))))
#s(approx re #s(hole binary64 re))
#s(approx (* (sin im) (sinh re)) #s(hole binary64 (* re (sin im))))
#s(approx (* (sin im) (sinh re)) #s(hole binary64 (* re (+ (sin im) (* 1/6 (* (pow re 2) (sin im)))))))
#s(approx (* (sin im) (sinh re)) #s(hole binary64 (* re (+ (sin im) (* (pow re 2) (+ (* 1/120 (* (pow re 2) (sin im))) (* 1/6 (sin im))))))))
#s(approx (* (sin im) (sinh re)) #s(hole binary64 (* re (+ (sin im) (* (pow re 2) (+ (* 1/6 (sin im)) (* (pow re 2) (+ (* 1/5040 (* (pow re 2) (sin im))) (* 1/120 (sin im))))))))))
#s(approx (sinh re) #s(hole binary64 re))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* 1/6 (pow re 2))))))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (+ 1/6 (* 1/120 (pow re 2))))))))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (+ 1/6 (* (pow re 2) (+ 1/120 (* 1/5040 (pow re 2))))))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (sin im)))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (+ (sin im) (* re (sin im)))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))))
#s(approx (exp re) #s(hole binary64 1))
#s(approx (exp re) #s(hole binary64 (+ 1 re)))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx (- re -1) #s(hole binary64 1))
#s(approx (- re -1) #s(hole binary64 (+ 1 re)))
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) #s(hole binary64 (+ (* 1/2 (* (sin im) (+ (exp re) (/ 1 (exp re))))) (* 1/2 (* (sin im) (- (exp re) (/ 1 (exp re))))))))
#s(approx (* (sin im) (cosh re)) #s(hole binary64 (* 1/2 (* (sin im) (+ (exp re) (/ 1 (exp re)))))))
#s(approx (cosh re) #s(hole binary64 (* 1/2 (+ (exp re) (/ 1 (exp re))))))
#s(approx (* (sin im) (sinh re)) #s(hole binary64 (* 1/2 (* (sin im) (- (exp re) (/ 1 (exp re)))))))
#s(approx (sinh re) #s(hole binary64 (* 1/2 (- (exp re) (/ 1 (exp re))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* (exp re) (sin im))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (- re -1) #s(hole binary64 re))
#s(approx (- re -1) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) #s(hole binary64 (* im (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) #s(hole binary64 (* im (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/12 (+ (exp re) (/ 1 (exp re)))) (* -1/12 (- (exp re) (/ 1 (exp re)))))))))))
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) #s(hole binary64 (* im (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/12 (+ (exp re) (/ 1 (exp re)))) (+ (* -1/12 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* 1/240 (+ (exp re) (/ 1 (exp re)))) (* 1/240 (- (exp re) (/ 1 (exp re))))))))))))))
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) #s(hole binary64 (* im (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/12 (+ (exp re) (/ 1 (exp re)))) (+ (* -1/12 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* 1/240 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/240 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/10080 (+ (exp re) (/ 1 (exp re)))) (* -1/10080 (- (exp re) (/ 1 (exp re)))))))))))))))))
#s(approx (* (sin im) (cosh re)) #s(hole binary64 (* 1/2 (* im (+ (exp re) (/ 1 (exp re)))))))
#s(approx (* (sin im) (cosh re)) #s(hole binary64 (* im (+ (* -1/12 (* (pow im 2) (+ (exp re) (/ 1 (exp re))))) (* 1/2 (+ (exp re) (/ 1 (exp re))))))))
#s(approx (* (sin im) (cosh re)) #s(hole binary64 (* im (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/12 (+ (exp re) (/ 1 (exp re)))) (* 1/240 (* (pow im 2) (+ (exp re) (/ 1 (exp re)))))))))))
#s(approx (* (sin im) (cosh re)) #s(hole binary64 (* im (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/12 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/10080 (* (pow im 2) (+ (exp re) (/ 1 (exp re))))) (* 1/240 (+ (exp re) (/ 1 (exp re))))))))))))
#s(approx (sin im) #s(hole binary64 im))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* -1/6 (pow im 2))))))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))))
#s(approx im #s(hole binary64 im))
#s(approx (* (sin im) (sinh re)) #s(hole binary64 (* 1/2 (* im (- (exp re) (/ 1 (exp re)))))))
#s(approx (* (sin im) (sinh re)) #s(hole binary64 (* im (+ (* -1/12 (* (pow im 2) (- (exp re) (/ 1 (exp re))))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))
#s(approx (* (sin im) (sinh re)) #s(hole binary64 (* im (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/12 (- (exp re) (/ 1 (exp re)))) (* 1/240 (* (pow im 2) (- (exp re) (/ 1 (exp re)))))))))))
#s(approx (* (sin im) (sinh re)) #s(hole binary64 (* im (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/12 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/10080 (* (pow im 2) (- (exp re) (/ 1 (exp re))))) (* 1/240 (- (exp re) (/ 1 (exp re))))))))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* im (exp re))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))))
#s(approx (* (+ (* (* im im) -1/6) 1) im) #s(hole binary64 im))
#s(approx (* (+ (* (* im im) -1/6) 1) im) #s(hole binary64 (* im (+ 1 (* -1/6 (pow im 2))))))
#s(approx (+ (* (* im im) -1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* im im) -1/6) 1) #s(hole binary64 (+ 1 (* -1/6 (pow im 2)))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx (sin im) #s(hole binary64 (sin im)))
#s(approx (* (+ (* (* im im) -1/6) 1) im) #s(hole binary64 (* -1/6 (pow im 3))))
#s(approx (* (+ (* (* im im) -1/6) 1) im) #s(hole binary64 (* (pow im 3) (- (/ 1 (pow im 2)) 1/6))))
#s(approx (+ (* (* im im) -1/6) 1) #s(hole binary64 (* -1/6 (pow im 2))))
#s(approx (+ (* (* im im) -1/6) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/6))))
#s(approx (* (+ (* (* im im) -1/6) 1) im) #s(hole binary64 (* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2)))))))
Calls

6 calls:

TimeVariablePointExpression
6.0ms
re
@0
((+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) (* (sin im) (cosh re)) (sin im) im (cosh re) re (* (sin im) (sinh re)) (sinh re) (* (exp re) (sin im)) (exp re) (sin im) (* (exp re) (sin im)) (sin im) (* (+ (* (* im im) -1/6) 1) im) (+ (* (* im im) -1/6) 1) (* im im) -1/6 1 (* (exp re) (sin im)) (* (exp re) (sin im)) (exp re) (- re -1) -1)
4.0ms
re
@-inf
((+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) (* (sin im) (cosh re)) (sin im) im (cosh re) re (* (sin im) (sinh re)) (sinh re) (* (exp re) (sin im)) (exp re) (sin im) (* (exp re) (sin im)) (sin im) (* (+ (* (* im im) -1/6) 1) im) (+ (* (* im im) -1/6) 1) (* im im) -1/6 1 (* (exp re) (sin im)) (* (exp re) (sin im)) (exp re) (- re -1) -1)
3.0ms
re
@inf
((+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) (* (sin im) (cosh re)) (sin im) im (cosh re) re (* (sin im) (sinh re)) (sinh re) (* (exp re) (sin im)) (exp re) (sin im) (* (exp re) (sin im)) (sin im) (* (+ (* (* im im) -1/6) 1) im) (+ (* (* im im) -1/6) 1) (* im im) -1/6 1 (* (exp re) (sin im)) (* (exp re) (sin im)) (exp re) (- re -1) -1)
3.0ms
im
@inf
((+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) (* (sin im) (cosh re)) (sin im) im (cosh re) re (* (sin im) (sinh re)) (sinh re) (* (exp re) (sin im)) (exp re) (sin im) (* (exp re) (sin im)) (sin im) (* (+ (* (* im im) -1/6) 1) im) (+ (* (* im im) -1/6) 1) (* im im) -1/6 1 (* (exp re) (sin im)) (* (exp re) (sin im)) (exp re) (- re -1) -1)
3.0ms
im
@-inf
((+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) (* (sin im) (cosh re)) (sin im) im (cosh re) re (* (sin im) (sinh re)) (sinh re) (* (exp re) (sin im)) (exp re) (sin im) (* (exp re) (sin im)) (sin im) (* (+ (* (* im im) -1/6) 1) im) (+ (* (* im im) -1/6) 1) (* im im) -1/6 1 (* (exp re) (sin im)) (* (exp re) (sin im)) (exp re) (- re -1) -1)

rewrite188.0ms (5.8%)

Memory
9.9MiB live, 234.3MiB allocated; 41ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03271628
03491488
120141394
094021316
Stop Event
iter-limit
node-limit
iter-limit
Counts
95 → 175
Calls
Call 1
Inputs
(+.f64 (*.f64 (sin.f64 im) (cosh.f64 re)) (*.f64 (sin.f64 im) (sinh.f64 re)))
(*.f64 (sin.f64 im) (cosh.f64 re))
(sin.f64 im)
im
(cosh.f64 re)
re
(*.f64 (sin.f64 im) (sinh.f64 re))
(sinh.f64 re)
(*.f64 (exp.f64 re) #s(approx (sin im) im))
(exp.f64 re)
#s(approx (sin im) im)
(*.f64 (exp.f64 re) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im))
(*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 im im)
#s(literal -1/6 binary64)
#s(literal 1 binary64)
#s(approx (* (exp re) (sin im)) (sin.f64 im))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (sin.f64 im))
#s(approx (exp re) (-.f64 re #s(literal -1 binary64)))
(-.f64 re #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) #s(hole binary64 (sin im)))
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) #s(hole binary64 (+ (sin im) (* re (sin im)))))
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) #s(hole binary64 (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))))
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) #s(hole binary64 (+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))))
#s(approx (* (sin im) (cosh re)) #s(hole binary64 (sin im)))
#s(approx (* (sin im) (cosh re)) #s(hole binary64 (+ (sin im) (* 1/2 (* (pow re 2) (sin im))))))
#s(approx (* (sin im) (cosh re)) #s(hole binary64 (+ (sin im) (* (pow re 2) (+ (* 1/24 (* (pow re 2) (sin im))) (* 1/2 (sin im)))))))
#s(approx (* (sin im) (cosh re)) #s(hole binary64 (+ (sin im) (* (pow re 2) (+ (* 1/2 (sin im)) (* (pow re 2) (+ (* 1/720 (* (pow re 2) (sin im))) (* 1/24 (sin im)))))))))
#s(approx (cosh re) #s(hole binary64 1))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* 1/2 (pow re 2)))))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* 1/24 (pow re 2)))))))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* (pow re 2) (+ 1/24 (* 1/720 (pow re 2)))))))))
#s(approx re #s(hole binary64 re))
#s(approx (* (sin im) (sinh re)) #s(hole binary64 (* re (sin im))))
#s(approx (* (sin im) (sinh re)) #s(hole binary64 (* re (+ (sin im) (* 1/6 (* (pow re 2) (sin im)))))))
#s(approx (* (sin im) (sinh re)) #s(hole binary64 (* re (+ (sin im) (* (pow re 2) (+ (* 1/120 (* (pow re 2) (sin im))) (* 1/6 (sin im))))))))
#s(approx (* (sin im) (sinh re)) #s(hole binary64 (* re (+ (sin im) (* (pow re 2) (+ (* 1/6 (sin im)) (* (pow re 2) (+ (* 1/5040 (* (pow re 2) (sin im))) (* 1/120 (sin im))))))))))
#s(approx (sinh re) #s(hole binary64 re))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* 1/6 (pow re 2))))))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (+ 1/6 (* 1/120 (pow re 2))))))))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (+ 1/6 (* (pow re 2) (+ 1/120 (* 1/5040 (pow re 2))))))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (sin im)))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (+ (sin im) (* re (sin im)))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))))
#s(approx (exp re) #s(hole binary64 1))
#s(approx (exp re) #s(hole binary64 (+ 1 re)))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx (- re -1) #s(hole binary64 1))
#s(approx (- re -1) #s(hole binary64 (+ 1 re)))
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) #s(hole binary64 (+ (* 1/2 (* (sin im) (+ (exp re) (/ 1 (exp re))))) (* 1/2 (* (sin im) (- (exp re) (/ 1 (exp re))))))))
#s(approx (* (sin im) (cosh re)) #s(hole binary64 (* 1/2 (* (sin im) (+ (exp re) (/ 1 (exp re)))))))
#s(approx (cosh re) #s(hole binary64 (* 1/2 (+ (exp re) (/ 1 (exp re))))))
#s(approx (* (sin im) (sinh re)) #s(hole binary64 (* 1/2 (* (sin im) (- (exp re) (/ 1 (exp re)))))))
#s(approx (sinh re) #s(hole binary64 (* 1/2 (- (exp re) (/ 1 (exp re))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* (exp re) (sin im))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (- re -1) #s(hole binary64 re))
#s(approx (- re -1) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) #s(hole binary64 (* im (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) #s(hole binary64 (* im (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/12 (+ (exp re) (/ 1 (exp re)))) (* -1/12 (- (exp re) (/ 1 (exp re)))))))))))
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) #s(hole binary64 (* im (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/12 (+ (exp re) (/ 1 (exp re)))) (+ (* -1/12 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* 1/240 (+ (exp re) (/ 1 (exp re)))) (* 1/240 (- (exp re) (/ 1 (exp re))))))))))))))
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) #s(hole binary64 (* im (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/12 (+ (exp re) (/ 1 (exp re)))) (+ (* -1/12 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* 1/240 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/240 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/10080 (+ (exp re) (/ 1 (exp re)))) (* -1/10080 (- (exp re) (/ 1 (exp re)))))))))))))))))
#s(approx (* (sin im) (cosh re)) #s(hole binary64 (* 1/2 (* im (+ (exp re) (/ 1 (exp re)))))))
#s(approx (* (sin im) (cosh re)) #s(hole binary64 (* im (+ (* -1/12 (* (pow im 2) (+ (exp re) (/ 1 (exp re))))) (* 1/2 (+ (exp re) (/ 1 (exp re))))))))
#s(approx (* (sin im) (cosh re)) #s(hole binary64 (* im (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/12 (+ (exp re) (/ 1 (exp re)))) (* 1/240 (* (pow im 2) (+ (exp re) (/ 1 (exp re)))))))))))
#s(approx (* (sin im) (cosh re)) #s(hole binary64 (* im (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/12 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/10080 (* (pow im 2) (+ (exp re) (/ 1 (exp re))))) (* 1/240 (+ (exp re) (/ 1 (exp re))))))))))))
#s(approx (sin im) #s(hole binary64 im))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* -1/6 (pow im 2))))))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))))
#s(approx im #s(hole binary64 im))
#s(approx (* (sin im) (sinh re)) #s(hole binary64 (* 1/2 (* im (- (exp re) (/ 1 (exp re)))))))
#s(approx (* (sin im) (sinh re)) #s(hole binary64 (* im (+ (* -1/12 (* (pow im 2) (- (exp re) (/ 1 (exp re))))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))
#s(approx (* (sin im) (sinh re)) #s(hole binary64 (* im (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/12 (- (exp re) (/ 1 (exp re)))) (* 1/240 (* (pow im 2) (- (exp re) (/ 1 (exp re)))))))))))
#s(approx (* (sin im) (sinh re)) #s(hole binary64 (* im (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/12 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/10080 (* (pow im 2) (- (exp re) (/ 1 (exp re))))) (* 1/240 (- (exp re) (/ 1 (exp re))))))))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* im (exp re))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))))
#s(approx (* (+ (* (* im im) -1/6) 1) im) #s(hole binary64 im))
#s(approx (* (+ (* (* im im) -1/6) 1) im) #s(hole binary64 (* im (+ 1 (* -1/6 (pow im 2))))))
#s(approx (+ (* (* im im) -1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* im im) -1/6) 1) #s(hole binary64 (+ 1 (* -1/6 (pow im 2)))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx (sin im) #s(hole binary64 (sin im)))
#s(approx (* (+ (* (* im im) -1/6) 1) im) #s(hole binary64 (* -1/6 (pow im 3))))
#s(approx (* (+ (* (* im im) -1/6) 1) im) #s(hole binary64 (* (pow im 3) (- (/ 1 (pow im 2)) 1/6))))
#s(approx (+ (* (* im im) -1/6) 1) #s(hole binary64 (* -1/6 (pow im 2))))
#s(approx (+ (* (* im im) -1/6) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/6))))
#s(approx (* (+ (* (* im im) -1/6) 1) im) #s(hole binary64 (* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2)))))))
Outputs
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(/.f64 (-.f64 (pow.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 im)) (sinh.f64 re)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 (sin.f64 im)) (sinh.f64 re)) (*.f64 (neg.f64 (sin.f64 im)) (sinh.f64 re)) (*.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) (*.f64 (neg.f64 (sin.f64 im)) (sinh.f64 re))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) #s(literal 2 binary64)) (*.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) (*.f64 (cosh.f64 re) (sin.f64 im))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) (*.f64 (sinh.f64 re) (sin.f64 im)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) (*.f64 (sinh.f64 re) (sin.f64 im)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) #s(literal 2 binary64))) (-.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) (*.f64 (sinh.f64 re) (sin.f64 im))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) (*.f64 (sinh.f64 re) (sin.f64 im))))))
(fma.f64 (sinh.f64 re) (sin.f64 im) (*.f64 (cosh.f64 re) (sin.f64 im)))
(fma.f64 (cosh.f64 re) (sin.f64 im) (*.f64 (sinh.f64 re) (sin.f64 im)))
(fma.f64 (sin.f64 im) (sinh.f64 re) (*.f64 (cosh.f64 re) (sin.f64 im)))
(fma.f64 (sin.f64 im) (cosh.f64 re) (*.f64 (sinh.f64 re) (sin.f64 im)))
(-.f64 (/.f64 (pow.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) #s(literal 2 binary64)) (-.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) (*.f64 (sinh.f64 re) (sin.f64 im)))) (/.f64 (pow.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) #s(literal 2 binary64)) (-.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) (*.f64 (sinh.f64 re) (sin.f64 im)))))
(-.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) (*.f64 (neg.f64 (sin.f64 im)) (sinh.f64 re)))
(+.f64 (/.f64 (pow.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) (*.f64 (sinh.f64 re) (sin.f64 im)))))) (/.f64 (pow.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) (*.f64 (sinh.f64 re) (sin.f64 im)))))))
(+.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) (*.f64 (cosh.f64 re) (sin.f64 im)))
(+.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) (*.f64 (sinh.f64 re) (sin.f64 im)))
(*.f64 (cosh.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (cosh.f64 re))
(sin.f64 im)
im
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal -2 binary64))
(/.f64 (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 (neg.f64 (neg.f64 re)))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (neg.f64 re)))
(cosh.f64 (neg.f64 re))
(cosh.f64 re)
(+.f64 (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)) (/.f64 (exp.f64 re) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 re) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)))
re
(*.f64 (sinh.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (sinh.f64 re))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64))
(sinh.f64 re)
(-.f64 (/.f64 (exp.f64 re) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)))
(*.f64 (exp.f64 re) #s(approx (sin im) im))
(*.f64 #s(approx (sin im) im) (exp.f64 re))
(/.f64 (+.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64))) (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (*.f64 (sinh.f64 re) (sinh.f64 re)) (*.f64 (cosh.f64 re) (sinh.f64 re)))))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal 4 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64))
(exp.f64 re)
(+.f64 (cosh.f64 re) (sinh.f64 re))
#s(approx (sin im) im)
(*.f64 (exp.f64 re) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)) (exp.f64 re))
#s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im))
(*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)
(*.f64 im (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) im) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) im) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) im) (*.f64 #s(literal 1 binary64) im) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) im) (*.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) im)) (*.f64 (*.f64 #s(literal 1 binary64) im) (*.f64 (*.f64 (*.f64 im im) #s(literal -1/6 binary64)) im)))))
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#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) (*.f64 (fma.f64 (*.f64 (*.f64 im im) (exp.f64 re)) #s(literal -1/6 binary64) (exp.f64 re)) im))
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 im im) (exp.f64 re)) #s(literal 1/120 binary64) (*.f64 (exp.f64 re) #s(literal -1/6 binary64))) (*.f64 im im) (exp.f64 re)) im))
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 im im) (exp.f64 re)) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) (exp.f64 re))) (*.f64 im im) (*.f64 (exp.f64 re) #s(literal -1/6 binary64))) (*.f64 im im) (exp.f64 re)) im))
#s(approx (* (+ (* (* im im) -1/6) 1) im) im)
#s(approx (* (+ (* (* im im) -1/6) 1) im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im))
#s(approx (+ (* (* im im) -1/6) 1) #s(literal 1 binary64))
#s(approx (+ (* (* im im) -1/6) 1) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (* im im) (*.f64 im im))
#s(approx (sin im) (sin.f64 im))
#s(approx (* (+ (* (* im im) -1/6) 1) im) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))
#s(approx (* (+ (* (* im im) -1/6) 1) im) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) (*.f64 (*.f64 im im) im)))
#s(approx (+ (* (* im im) -1/6) 1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64)))
#s(approx (+ (* (* im im) -1/6) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) (*.f64 im im)))
#s(approx (* (+ (* (* im im) -1/6) 1) im) (neg.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 im im))) (*.f64 (*.f64 im im) im))))

eval37.0ms (1.1%)

Memory
-23.1MiB live, 37.7MiB allocated; 37ms collecting garbage
Compiler

Compiled 1 857 to 773 computations (58.4% saved)

prune9.0ms (0.3%)

Memory
26.3MiB live, 26.3MiB allocated; 0ms collecting garbage
Pruning

14 alts after pruning (10 fresh and 4 done)

PrunedKeptTotal
New1678175
Fresh022
Picked235
Done011
Total16914183
Accuracy
100.0%
Counts
183 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.8%
(+.f64 (*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (*.f64 (sin.f64 im) (sinh.f64 re)))
100.0%
(*.f64 (exp.f64 re) (sin.f64 im))
62.3%
(*.f64 (exp.f64 re) #s(approx (sin im) (*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)))
21.2%
(*.f64 (exp.f64 re) #s(approx (sin im) #s(approx (* (+ (* (* im im) -1/6) 1) im) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))))
71.1%
(*.f64 (exp.f64 re) #s(approx (sin im) im))
65.7%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
39.8%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) im))
55.9%
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (sin.f64 im))
36.0%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
34.1%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) im))
34.2%
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
31.9%
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) im))
63.5%
#s(approx (* (exp re) (sin im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (sin.f64 im)) re (sin.f64 im)))
55.5%
#s(approx (* (exp re) (sin im)) (sin.f64 im))
Compiler

Compiled 262 to 258 computations (1.5% saved)

series20.0ms (0.6%)

Memory
-7.7MiB live, 37.9MiB allocated; 4ms collecting garbage
Counts
33 → 97
Calls
Call 1
Inputs
(+.f64 (*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (*.f64 (sin.f64 im) (sinh.f64 re)))
(*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(sin.f64 im)
im
#s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 re re)
re
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 (sin.f64 im) (sinh.f64 re))
(sinh.f64 re)
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) im))
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (sin im) im)
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) im))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
#s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im))
(*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 im im)
#s(literal -1/6 binary64)
(*.f64 (exp.f64 re) #s(approx (sin im) (*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)))
(exp.f64 re)
#s(approx (sin im) (*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) im))
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)
(fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64))
(*.f64 im #s(literal -1/6 binary64))
Outputs
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) #s(hole binary64 (sin im)))
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) #s(hole binary64 (+ (sin im) (* re (sin im)))))
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) #s(hole binary64 (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))))
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) #s(hole binary64 (+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))))
#s(approx (* (sin im) (cosh re)) #s(hole binary64 (sin im)))
#s(approx (* (sin im) (cosh re)) #s(hole binary64 (+ (sin im) (* 1/2 (* (pow re 2) (sin im))))))
#s(approx (* (sin im) (cosh re)) #s(hole binary64 (+ (sin im) (* (pow re 2) (+ (* 1/24 (* (pow re 2) (sin im))) (* 1/2 (sin im)))))))
#s(approx (* (sin im) (cosh re)) #s(hole binary64 (+ (sin im) (* (pow re 2) (+ (* 1/2 (sin im)) (* (pow re 2) (+ (* 1/720 (* (pow re 2) (sin im))) (* 1/24 (sin im)))))))))
#s(approx (cosh re) #s(hole binary64 1))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* 1/2 (pow re 2)))))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* 1/24 (pow re 2)))))))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* (pow re 2) (+ 1/24 (* 1/720 (pow re 2)))))))))
#s(approx (+ (* (* re re) 1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* re re) 1/2) 1) #s(hole binary64 (+ 1 (* 1/2 (pow re 2)))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx re #s(hole binary64 re))
#s(approx (* (sin im) (sinh re)) #s(hole binary64 (* re (sin im))))
#s(approx (* (sin im) (sinh re)) #s(hole binary64 (* re (+ (sin im) (* 1/6 (* (pow re 2) (sin im)))))))
#s(approx (* (sin im) (sinh re)) #s(hole binary64 (* re (+ (sin im) (* (pow re 2) (+ (* 1/120 (* (pow re 2) (sin im))) (* 1/6 (sin im))))))))
#s(approx (* (sin im) (sinh re)) #s(hole binary64 (* re (+ (sin im) (* (pow re 2) (+ (* 1/6 (sin im)) (* (pow re 2) (+ (* 1/5040 (* (pow re 2) (sin im))) (* 1/120 (sin im))))))))))
#s(approx (sinh re) #s(hole binary64 re))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* 1/6 (pow re 2))))))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (+ 1/6 (* 1/120 (pow re 2))))))))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (+ 1/6 (* (pow re 2) (+ 1/120 (* 1/5040 (pow re 2))))))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (sin im)))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (+ (sin im) (* re (sin im)))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))))
#s(approx (exp re) #s(hole binary64 1))
#s(approx (exp re) #s(hole binary64 (+ 1 re)))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (+ 1 re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (+ 1 (* 1/2 re))))
#s(approx (+ 1 re) #s(hole binary64 1))
#s(approx (+ 1 re) #s(hole binary64 (+ 1 re)))
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) #s(hole binary64 (+ (* 1/2 (* (sin im) (+ (exp re) (/ 1 (exp re))))) (* 1/2 (* (sin im) (- (exp re) (/ 1 (exp re))))))))
#s(approx (* (sin im) (cosh re)) #s(hole binary64 (* 1/2 (* (sin im) (+ (exp re) (/ 1 (exp re)))))))
#s(approx (cosh re) #s(hole binary64 (* 1/2 (+ (exp re) (/ 1 (exp re))))))
#s(approx (+ (* (* re re) 1/2) 1) #s(hole binary64 (* 1/2 (pow re 2))))
#s(approx (+ (* (* re re) 1/2) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (/ 1 (pow re 2))))))
#s(approx (* (sin im) (sinh re)) #s(hole binary64 (* 1/2 (* (sin im) (- (exp re) (/ 1 (exp re)))))))
#s(approx (sinh re) #s(hole binary64 (* 1/2 (- (exp re) (/ 1 (exp re))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* (exp re) (sin im))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* 1/2 (pow re 2))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (/ 1 re)))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* 1/2 re)))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* re (+ 1/2 (/ 1 re)))))
#s(approx (+ 1 re) #s(hole binary64 re))
#s(approx (+ 1 re) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) #s(hole binary64 (* im (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) #s(hole binary64 (* im (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/12 (+ (exp re) (/ 1 (exp re)))) (* -1/12 (- (exp re) (/ 1 (exp re)))))))))))
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) #s(hole binary64 (* im (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/12 (+ (exp re) (/ 1 (exp re)))) (+ (* -1/12 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* 1/240 (+ (exp re) (/ 1 (exp re)))) (* 1/240 (- (exp re) (/ 1 (exp re))))))))))))))
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) #s(hole binary64 (* im (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/12 (+ (exp re) (/ 1 (exp re)))) (+ (* -1/12 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* 1/240 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/240 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/10080 (+ (exp re) (/ 1 (exp re)))) (* -1/10080 (- (exp re) (/ 1 (exp re)))))))))))))))))
#s(approx (* (sin im) (cosh re)) #s(hole binary64 (* 1/2 (* im (+ (exp re) (/ 1 (exp re)))))))
#s(approx (* (sin im) (cosh re)) #s(hole binary64 (* im (+ (* -1/12 (* (pow im 2) (+ (exp re) (/ 1 (exp re))))) (* 1/2 (+ (exp re) (/ 1 (exp re))))))))
#s(approx (* (sin im) (cosh re)) #s(hole binary64 (* im (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/12 (+ (exp re) (/ 1 (exp re)))) (* 1/240 (* (pow im 2) (+ (exp re) (/ 1 (exp re)))))))))))
#s(approx (* (sin im) (cosh re)) #s(hole binary64 (* im (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/12 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/10080 (* (pow im 2) (+ (exp re) (/ 1 (exp re))))) (* 1/240 (+ (exp re) (/ 1 (exp re))))))))))))
#s(approx (sin im) #s(hole binary64 im))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* -1/6 (pow im 2))))))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))))
#s(approx im #s(hole binary64 im))
#s(approx (* (sin im) (sinh re)) #s(hole binary64 (* 1/2 (* im (- (exp re) (/ 1 (exp re)))))))
#s(approx (* (sin im) (sinh re)) #s(hole binary64 (* im (+ (* -1/12 (* (pow im 2) (- (exp re) (/ 1 (exp re))))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))
#s(approx (* (sin im) (sinh re)) #s(hole binary64 (* im (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/12 (- (exp re) (/ 1 (exp re)))) (* 1/240 (* (pow im 2) (- (exp re) (/ 1 (exp re)))))))))))
#s(approx (* (sin im) (sinh re)) #s(hole binary64 (* im (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/12 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/10080 (* (pow im 2) (- (exp re) (/ 1 (exp re))))) (* 1/240 (- (exp re) (/ 1 (exp re))))))))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* im (exp re))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))))
#s(approx (* (+ (* (* im im) -1/6) 1) im) #s(hole binary64 im))
#s(approx (* (+ (* (* im im) -1/6) 1) im) #s(hole binary64 (* im (+ 1 (* -1/6 (pow im 2))))))
#s(approx (+ (* (* im im) -1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* im im) -1/6) 1) #s(hole binary64 (+ 1 (* -1/6 (pow im 2)))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx (* (+ (* im (* im -1/6)) 1) im) #s(hole binary64 im))
#s(approx (* (+ (* im (* im -1/6)) 1) im) #s(hole binary64 (* im (+ 1 (* -1/6 (pow im 2))))))
#s(approx (+ (* im (* im -1/6)) 1) #s(hole binary64 1))
#s(approx (+ (* im (* im -1/6)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow im 2)))))
#s(approx (* im -1/6) #s(hole binary64 (* -1/6 im)))
#s(approx (sin im) #s(hole binary64 (sin im)))
#s(approx (* (+ (* (* im im) -1/6) 1) im) #s(hole binary64 (* -1/6 (pow im 3))))
#s(approx (* (+ (* (* im im) -1/6) 1) im) #s(hole binary64 (* (pow im 3) (- (/ 1 (pow im 2)) 1/6))))
#s(approx (+ (* (* im im) -1/6) 1) #s(hole binary64 (* -1/6 (pow im 2))))
#s(approx (+ (* (* im im) -1/6) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/6))))
#s(approx (* (+ (* im (* im -1/6)) 1) im) #s(hole binary64 (* -1/6 (pow im 3))))
#s(approx (* (+ (* im (* im -1/6)) 1) im) #s(hole binary64 (* (pow im 3) (- (/ 1 (pow im 2)) 1/6))))
#s(approx (+ (* im (* im -1/6)) 1) #s(hole binary64 (* -1/6 (pow im 2))))
#s(approx (+ (* im (* im -1/6)) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/6))))
#s(approx (* (+ (* (* im im) -1/6) 1) im) #s(hole binary64 (* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2)))))))
#s(approx (* (+ (* im (* im -1/6)) 1) im) #s(hole binary64 (* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2)))))))
Calls

6 calls:

TimeVariablePointExpression
5.0ms
im
@-inf
((+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) (* (sin im) (cosh re)) (sin im) im (cosh re) (+ (* (* re re) 1/2) 1) (* re re) re 1/2 1 (* (sin im) (sinh re)) (sinh re) (* (exp re) (sin im)) (exp re) (sin im) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (exp re) (sin im)) (exp re) (+ 1 re) (sin im) (* (+ (* (* im im) -1/6) 1) im) (+ (* (* im im) -1/6) 1) (* im im) -1/6 (* (exp re) (sin im)) (exp re) (sin im) (* (+ (* im (* im -1/6)) 1) im) (+ (* im (* im -1/6)) 1) (* im -1/6))
3.0ms
re
@-inf
((+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) (* (sin im) (cosh re)) (sin im) im (cosh re) (+ (* (* re re) 1/2) 1) (* re re) re 1/2 1 (* (sin im) (sinh re)) (sinh re) (* (exp re) (sin im)) (exp re) (sin im) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (exp re) (sin im)) (exp re) (+ 1 re) (sin im) (* (+ (* (* im im) -1/6) 1) im) (+ (* (* im im) -1/6) 1) (* im im) -1/6 (* (exp re) (sin im)) (exp re) (sin im) (* (+ (* im (* im -1/6)) 1) im) (+ (* im (* im -1/6)) 1) (* im -1/6))
3.0ms
re
@inf
((+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) (* (sin im) (cosh re)) (sin im) im (cosh re) (+ (* (* re re) 1/2) 1) (* re re) re 1/2 1 (* (sin im) (sinh re)) (sinh re) (* (exp re) (sin im)) (exp re) (sin im) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (exp re) (sin im)) (exp re) (+ 1 re) (sin im) (* (+ (* (* im im) -1/6) 1) im) (+ (* (* im im) -1/6) 1) (* im im) -1/6 (* (exp re) (sin im)) (exp re) (sin im) (* (+ (* im (* im -1/6)) 1) im) (+ (* im (* im -1/6)) 1) (* im -1/6))
2.0ms
im
@inf
((+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) (* (sin im) (cosh re)) (sin im) im (cosh re) (+ (* (* re re) 1/2) 1) (* re re) re 1/2 1 (* (sin im) (sinh re)) (sinh re) (* (exp re) (sin im)) (exp re) (sin im) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (exp re) (sin im)) (exp re) (+ 1 re) (sin im) (* (+ (* (* im im) -1/6) 1) im) (+ (* (* im im) -1/6) 1) (* im im) -1/6 (* (exp re) (sin im)) (exp re) (sin im) (* (+ (* im (* im -1/6)) 1) im) (+ (* im (* im -1/6)) 1) (* im -1/6))
1.0ms
re
@0
((+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) (* (sin im) (cosh re)) (sin im) im (cosh re) (+ (* (* re re) 1/2) 1) (* re re) re 1/2 1 (* (sin im) (sinh re)) (sinh re) (* (exp re) (sin im)) (exp re) (sin im) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (exp re) (sin im)) (exp re) (+ 1 re) (sin im) (* (+ (* (* im im) -1/6) 1) im) (+ (* (* im im) -1/6) 1) (* im im) -1/6 (* (exp re) (sin im)) (exp re) (sin im) (* (+ (* im (* im -1/6)) 1) im) (+ (* im (* im -1/6)) 1) (* im -1/6))

rewrite155.0ms (4.8%)

Memory
5.2MiB live, 189.8MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03802057
04081894
122191798
081171722
Stop Event
iter-limit
node-limit
iter-limit
Counts
130 → 301
Calls
Call 1
Inputs
(+.f64 (*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (*.f64 (sin.f64 im) (sinh.f64 re)))
(*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(sin.f64 im)
im
#s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 re re)
re
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 (sin.f64 im) (sinh.f64 re))
(sinh.f64 re)
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) im))
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (sin im) im)
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) im))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
#s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im))
(*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 im im)
#s(literal -1/6 binary64)
(*.f64 (exp.f64 re) #s(approx (sin im) (*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)))
(exp.f64 re)
#s(approx (sin im) (*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) im))
(*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)
(fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64))
(*.f64 im #s(literal -1/6 binary64))
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) #s(hole binary64 (sin im)))
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) #s(hole binary64 (+ (sin im) (* re (sin im)))))
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) #s(hole binary64 (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))))
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) #s(hole binary64 (+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))))
#s(approx (* (sin im) (cosh re)) #s(hole binary64 (sin im)))
#s(approx (* (sin im) (cosh re)) #s(hole binary64 (+ (sin im) (* 1/2 (* (pow re 2) (sin im))))))
#s(approx (* (sin im) (cosh re)) #s(hole binary64 (+ (sin im) (* (pow re 2) (+ (* 1/24 (* (pow re 2) (sin im))) (* 1/2 (sin im)))))))
#s(approx (* (sin im) (cosh re)) #s(hole binary64 (+ (sin im) (* (pow re 2) (+ (* 1/2 (sin im)) (* (pow re 2) (+ (* 1/720 (* (pow re 2) (sin im))) (* 1/24 (sin im)))))))))
#s(approx (cosh re) #s(hole binary64 1))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* 1/2 (pow re 2)))))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* 1/24 (pow re 2)))))))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* (pow re 2) (+ 1/24 (* 1/720 (pow re 2)))))))))
#s(approx (+ (* (* re re) 1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* re re) 1/2) 1) #s(hole binary64 (+ 1 (* 1/2 (pow re 2)))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx re #s(hole binary64 re))
#s(approx (* (sin im) (sinh re)) #s(hole binary64 (* re (sin im))))
#s(approx (* (sin im) (sinh re)) #s(hole binary64 (* re (+ (sin im) (* 1/6 (* (pow re 2) (sin im)))))))
#s(approx (* (sin im) (sinh re)) #s(hole binary64 (* re (+ (sin im) (* (pow re 2) (+ (* 1/120 (* (pow re 2) (sin im))) (* 1/6 (sin im))))))))
#s(approx (* (sin im) (sinh re)) #s(hole binary64 (* re (+ (sin im) (* (pow re 2) (+ (* 1/6 (sin im)) (* (pow re 2) (+ (* 1/5040 (* (pow re 2) (sin im))) (* 1/120 (sin im))))))))))
#s(approx (sinh re) #s(hole binary64 re))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* 1/6 (pow re 2))))))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (+ 1/6 (* 1/120 (pow re 2))))))))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (+ 1/6 (* (pow re 2) (+ 1/120 (* 1/5040 (pow re 2))))))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (sin im)))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (+ (sin im) (* re (sin im)))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))))
#s(approx (exp re) #s(hole binary64 1))
#s(approx (exp re) #s(hole binary64 (+ 1 re)))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (+ 1 re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (+ 1 (* 1/2 re))))
#s(approx (+ 1 re) #s(hole binary64 1))
#s(approx (+ 1 re) #s(hole binary64 (+ 1 re)))
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) #s(hole binary64 (+ (* 1/2 (* (sin im) (+ (exp re) (/ 1 (exp re))))) (* 1/2 (* (sin im) (- (exp re) (/ 1 (exp re))))))))
#s(approx (* (sin im) (cosh re)) #s(hole binary64 (* 1/2 (* (sin im) (+ (exp re) (/ 1 (exp re)))))))
#s(approx (cosh re) #s(hole binary64 (* 1/2 (+ (exp re) (/ 1 (exp re))))))
#s(approx (+ (* (* re re) 1/2) 1) #s(hole binary64 (* 1/2 (pow re 2))))
#s(approx (+ (* (* re re) 1/2) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (/ 1 (pow re 2))))))
#s(approx (* (sin im) (sinh re)) #s(hole binary64 (* 1/2 (* (sin im) (- (exp re) (/ 1 (exp re)))))))
#s(approx (sinh re) #s(hole binary64 (* 1/2 (- (exp re) (/ 1 (exp re))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* (exp re) (sin im))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* 1/2 (pow re 2))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (/ 1 re)))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* 1/2 re)))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* re (+ 1/2 (/ 1 re)))))
#s(approx (+ 1 re) #s(hole binary64 re))
#s(approx (+ 1 re) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) #s(hole binary64 (* im (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) #s(hole binary64 (* im (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/12 (+ (exp re) (/ 1 (exp re)))) (* -1/12 (- (exp re) (/ 1 (exp re)))))))))))
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) #s(hole binary64 (* im (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/12 (+ (exp re) (/ 1 (exp re)))) (+ (* -1/12 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* 1/240 (+ (exp re) (/ 1 (exp re)))) (* 1/240 (- (exp re) (/ 1 (exp re))))))))))))))
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) #s(hole binary64 (* im (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/12 (+ (exp re) (/ 1 (exp re)))) (+ (* -1/12 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* 1/240 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/240 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/10080 (+ (exp re) (/ 1 (exp re)))) (* -1/10080 (- (exp re) (/ 1 (exp re)))))))))))))))))
#s(approx (* (sin im) (cosh re)) #s(hole binary64 (* 1/2 (* im (+ (exp re) (/ 1 (exp re)))))))
#s(approx (* (sin im) (cosh re)) #s(hole binary64 (* im (+ (* -1/12 (* (pow im 2) (+ (exp re) (/ 1 (exp re))))) (* 1/2 (+ (exp re) (/ 1 (exp re))))))))
#s(approx (* (sin im) (cosh re)) #s(hole binary64 (* im (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/12 (+ (exp re) (/ 1 (exp re)))) (* 1/240 (* (pow im 2) (+ (exp re) (/ 1 (exp re)))))))))))
#s(approx (* (sin im) (cosh re)) #s(hole binary64 (* im (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/12 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/10080 (* (pow im 2) (+ (exp re) (/ 1 (exp re))))) (* 1/240 (+ (exp re) (/ 1 (exp re))))))))))))
#s(approx (sin im) #s(hole binary64 im))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* -1/6 (pow im 2))))))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))))
#s(approx im #s(hole binary64 im))
#s(approx (* (sin im) (sinh re)) #s(hole binary64 (* 1/2 (* im (- (exp re) (/ 1 (exp re)))))))
#s(approx (* (sin im) (sinh re)) #s(hole binary64 (* im (+ (* -1/12 (* (pow im 2) (- (exp re) (/ 1 (exp re))))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))
#s(approx (* (sin im) (sinh re)) #s(hole binary64 (* im (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/12 (- (exp re) (/ 1 (exp re)))) (* 1/240 (* (pow im 2) (- (exp re) (/ 1 (exp re)))))))))))
#s(approx (* (sin im) (sinh re)) #s(hole binary64 (* im (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/12 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/10080 (* (pow im 2) (- (exp re) (/ 1 (exp re))))) (* 1/240 (- (exp re) (/ 1 (exp re))))))))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* im (exp re))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))))
#s(approx (* (+ (* (* im im) -1/6) 1) im) #s(hole binary64 im))
#s(approx (* (+ (* (* im im) -1/6) 1) im) #s(hole binary64 (* im (+ 1 (* -1/6 (pow im 2))))))
#s(approx (+ (* (* im im) -1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* im im) -1/6) 1) #s(hole binary64 (+ 1 (* -1/6 (pow im 2)))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx (* (+ (* im (* im -1/6)) 1) im) #s(hole binary64 im))
#s(approx (* (+ (* im (* im -1/6)) 1) im) #s(hole binary64 (* im (+ 1 (* -1/6 (pow im 2))))))
#s(approx (+ (* im (* im -1/6)) 1) #s(hole binary64 1))
#s(approx (+ (* im (* im -1/6)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow im 2)))))
#s(approx (* im -1/6) #s(hole binary64 (* -1/6 im)))
#s(approx (sin im) #s(hole binary64 (sin im)))
#s(approx (* (+ (* (* im im) -1/6) 1) im) #s(hole binary64 (* -1/6 (pow im 3))))
#s(approx (* (+ (* (* im im) -1/6) 1) im) #s(hole binary64 (* (pow im 3) (- (/ 1 (pow im 2)) 1/6))))
#s(approx (+ (* (* im im) -1/6) 1) #s(hole binary64 (* -1/6 (pow im 2))))
#s(approx (+ (* (* im im) -1/6) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/6))))
#s(approx (* (+ (* im (* im -1/6)) 1) im) #s(hole binary64 (* -1/6 (pow im 3))))
#s(approx (* (+ (* im (* im -1/6)) 1) im) #s(hole binary64 (* (pow im 3) (- (/ 1 (pow im 2)) 1/6))))
#s(approx (+ (* im (* im -1/6)) 1) #s(hole binary64 (* -1/6 (pow im 2))))
#s(approx (+ (* im (* im -1/6)) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/6))))
#s(approx (* (+ (* (* im im) -1/6) 1) im) #s(hole binary64 (* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2)))))))
#s(approx (* (+ (* im (* im -1/6)) 1) im) #s(hole binary64 (* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2)))))))
Outputs
(*.f64 (sin.f64 im) (+.f64 #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sinh.f64 re)))
(/.f64 (+.f64 (pow.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) (*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (*.f64 (sinh.f64 re) (sin.f64 im)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (*.f64 (sinh.f64 re) (sin.f64 im)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (*.f64 (sinh.f64 re) (sin.f64 im))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (*.f64 (sinh.f64 re) (sin.f64 im))))))
(fma.f64 (sinh.f64 re) (sin.f64 im) (*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(fma.f64 (sin.f64 im) (sinh.f64 re) (*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(fma.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 re) (sin.f64 im)))
(fma.f64 #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sin.f64 im) (*.f64 (sinh.f64 re) (sin.f64 im)))
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (*.f64 (sinh.f64 re) (sin.f64 im)))) (/.f64 (pow.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (*.f64 (sinh.f64 re) (sin.f64 im)))))
(-.f64 (*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (*.f64 (neg.f64 (sin.f64 im)) (sinh.f64 re)))
(+.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (*.f64 (sinh.f64 re) (sin.f64 im)))))) (/.f64 (pow.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (*.f64 (sinh.f64 re) (sin.f64 im)))))))
(+.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) (*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(+.f64 (*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (*.f64 (sinh.f64 re) (sin.f64 im)))
(*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sin.f64 im))
(sin.f64 im)
im
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#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (+.f64 #s(literal 1 binary64) re) (sin.f64 im)))
#s(approx (* (exp re) (sin im)) (fma.f64 re (fma.f64 (*.f64 (sin.f64 im) re) #s(literal 1/2 binary64) (sin.f64 im)) (sin.f64 im)))
#s(approx (* (exp re) (sin im)) (fma.f64 re (fma.f64 re (fma.f64 (*.f64 (sin.f64 im) re) #s(literal 1/6 binary64) (*.f64 (sin.f64 im) #s(literal 1/2 binary64))) (sin.f64 im)) (sin.f64 im)))
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (+.f64 #s(literal 1 binary64) re))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (+ (* 1/2 re) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/2 re) 1) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)))
#s(approx (+ 1 re) #s(literal 1 binary64))
#s(approx (+ 1 re) (+.f64 #s(literal 1 binary64) re))
#s(approx (* (exp re) (sin im)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (sin.f64 im) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) (sin.f64 im)))))
#s(approx (* (sin im) (cosh re)) (*.f64 (*.f64 (sin.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 1/2 binary64)))
#s(approx (cosh re) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 1/2 binary64)))
#s(approx (+ (* (* re re) 1/2) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))
#s(approx (+ (* (* re re) 1/2) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (* (sin im) (sinh re)) (*.f64 (*.f64 (sin.f64 im) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 re))))
#s(approx (sinh re) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 1/2 binary64)))
#s(approx (* (exp re) (sin im)) (*.f64 (sin.f64 im) (exp.f64 re)))
#s(approx (exp re) (exp.f64 re))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 re re))) (*.f64 re re)))
#s(approx (+ (* 1/2 re) 1) (*.f64 #s(literal 1/2 binary64) re))
#s(approx (+ (* 1/2 re) 1) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)))
#s(approx (+ 1 re) re)
#s(approx (+ 1 re) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64)))
#s(approx (* (exp re) (sin im)) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) im))
#s(approx (* (exp re) (sin im)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) (*.f64 (*.f64 #s(literal -1/12 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) (*.f64 im im))) im))
#s(approx (* (exp re) (sin im)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) (*.f64 (fma.f64 #s(literal -1/12 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) (*.f64 (*.f64 #s(literal 1/240 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) (*.f64 im im))) (*.f64 im im))) im))
#s(approx (* (exp re) (sin im)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) (*.f64 (fma.f64 #s(literal -1/12 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) (*.f64 (fma.f64 #s(literal 1/240 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) (*.f64 (*.f64 #s(literal -1/10080 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) (*.f64 im im))) (*.f64 im im))) (*.f64 im im))) im))
#s(approx (* (sin im) (cosh re)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) im) #s(literal 1/2 binary64)))
#s(approx (* (sin im) (cosh re)) (*.f64 (fma.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 im im)) (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 1/2 binary64))) im))
#s(approx (* (sin im) (cosh re)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 im im)) (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (*.f64 #s(literal -1/12 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 re)))) (*.f64 im im) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 1/2 binary64))) im))
#s(approx (* (sin im) (cosh re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/10080 binary64) (*.f64 im im)) (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (*.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 re)))) (*.f64 im im) (*.f64 #s(literal -1/12 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 re)))) (*.f64 im im) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 1/2 binary64))) im))
#s(approx (sin im) im)
#s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im))
#s(approx (sin im) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im))
#s(approx (sin im) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im)) #s(literal 1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im))
#s(approx im im)
#s(approx (* (sin im) (sinh re)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) im) #s(literal 1/2 binary64)))
#s(approx (* (sin im) (sinh re)) (*.f64 (fma.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 im im)) (*.f64 #s(literal 2 binary64) (sinh.f64 re)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 1/2 binary64))) im))
#s(approx (* (sin im) (sinh re)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 im im)) (*.f64 #s(literal 2 binary64) (sinh.f64 re)) (*.f64 #s(literal -1/12 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) (*.f64 im im) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 1/2 binary64))) im))
#s(approx (* (sin im) (sinh re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/10080 binary64) (*.f64 im im)) (*.f64 #s(literal 2 binary64) (sinh.f64 re)) (*.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) (*.f64 im im) (*.f64 #s(literal -1/12 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) (*.f64 im im) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 1/2 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (* (exp re) (sin im)) (*.f64 (fma.f64 (*.f64 (*.f64 im im) (exp.f64 re)) #s(literal -1/6 binary64) (exp.f64 re)) im))
#s(approx (* (exp re) (sin im)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 im im) (exp.f64 re)) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) (exp.f64 re))) (*.f64 im im) (exp.f64 re)) im))
#s(approx (* (exp re) (sin im)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 im im) (exp.f64 re)) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) (exp.f64 re))) (*.f64 im im) (*.f64 #s(literal -1/6 binary64) (exp.f64 re))) (*.f64 im im) (exp.f64 re)) im))
#s(approx (* (+ (* im (* im -1/6)) 1) im) im)
#s(approx (* (+ (* im (* im -1/6)) 1) im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im))
#s(approx (+ (* im (* im -1/6)) 1) #s(literal 1 binary64))
#s(approx (+ (* im (* im -1/6)) 1) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)))
#s(approx (* im im) (*.f64 im im))
#s(approx (* (+ (* im (* im -1/6)) 1) im) im)
#s(approx (* (+ (* im (* im -1/6)) 1) im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im))
#s(approx (+ (* im (* im -1/6)) 1) #s(literal 1 binary64))
#s(approx (+ (* im (* im -1/6)) 1) (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)))
#s(approx (* im -1/6) (*.f64 #s(literal -1/6 binary64) im))
#s(approx (sin im) (sin.f64 im))
#s(approx (* (+ (* im (* im -1/6)) 1) im) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))
#s(approx (* (+ (* im (* im -1/6)) 1) im) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) (*.f64 (*.f64 im im) im)))
#s(approx (+ (* im (* im -1/6)) 1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64)))
#s(approx (+ (* im (* im -1/6)) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) (*.f64 im im)))
#s(approx (* (+ (* im (* im -1/6)) 1) im) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))
#s(approx (* (+ (* im (* im -1/6)) 1) im) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) (*.f64 (*.f64 im im) im)))
#s(approx (+ (* im (* im -1/6)) 1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64)))
#s(approx (+ (* im (* im -1/6)) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) (*.f64 im im)))
#s(approx (* (+ (* im (* im -1/6)) 1) im) (neg.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 im im))) (*.f64 (*.f64 im im) im))))
#s(approx (* (+ (* im (* im -1/6)) 1) im) (neg.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 im im))) (*.f64 (*.f64 im im) im))))

eval27.0ms (0.8%)

Memory
1.7MiB live, 46.9MiB allocated; 3ms collecting garbage
Compiler

Compiled 2 744 to 1 214 computations (55.8% saved)

prune37.0ms (1.1%)

Memory
-27.7MiB live, 19.2MiB allocated; 2ms collecting garbage
Pruning

15 alts after pruning (9 fresh and 6 done)

PrunedKeptTotal
New2377244
Fresh325
Picked325
Done044
Total24315258
Accuracy
100.0%
Counts
258 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.7%
(+.f64 (*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (*.f64 (sin.f64 im) #s(approx (sinh re) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))))
100.0%
(*.f64 (exp.f64 re) (sin.f64 im))
71.1%
(*.f64 (exp.f64 re) #s(approx (sin im) im))
36.0%
(*.f64 #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im)) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)))
65.7%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
39.8%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) im))
55.9%
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (sin.f64 im))
34.1%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) #s(approx (* (+ (* im (* im -1/6)) 1) im) im)))
11.7%
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))) #s(approx (sin im) im))
11.7%
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (sin im) im))
7.9%
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
34.2%
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
31.9%
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) im))
63.5%
#s(approx (* (exp re) (sin im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (sin.f64 im)) re (sin.f64 im)))
55.5%
#s(approx (* (exp re) (sin im)) (sin.f64 im))
Compiler

Compiled 315 to 309 computations (1.9% saved)

series15.0ms (0.5%)

Memory
22.0MiB live, 22.0MiB allocated; 0ms collecting garbage
Counts
37 → 104
Calls
Call 1
Inputs
(+.f64 (*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (*.f64 (sin.f64 im) #s(approx (sinh re) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))))
(*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(sin.f64 im)
im
#s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 re re)
re
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 (sin.f64 im) #s(approx (sinh re) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re)))
#s(approx (sinh re) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))
(*.f64 (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re)
(fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64))
#s(literal 1/6 binary64)
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) #s(approx (* (+ (* im (* im -1/6)) 1) im) im)))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
#s(approx (sin im) #s(approx (* (+ (* im (* im -1/6)) 1) im) im))
#s(approx (* (+ (* im (* im -1/6)) 1) im) im)
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))) #s(approx (sin im) im))
#s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))
(fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re)
#s(approx (sin im) im)
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (exp re) #s(approx (+ 1 re) re))
#s(approx (+ 1 re) re)
#s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im))
(*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 im im)
#s(literal -1/6 binary64)
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
Outputs
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) #s(hole binary64 (sin im)))
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) #s(hole binary64 (+ (sin im) (* re (sin im)))))
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) #s(hole binary64 (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))))
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) #s(hole binary64 (+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))))
#s(approx (* (sin im) (cosh re)) #s(hole binary64 (sin im)))
#s(approx (* (sin im) (cosh re)) #s(hole binary64 (+ (sin im) (* 1/2 (* (pow re 2) (sin im))))))
#s(approx (* (sin im) (cosh re)) #s(hole binary64 (+ (sin im) (* (pow re 2) (+ (* 1/24 (* (pow re 2) (sin im))) (* 1/2 (sin im)))))))
#s(approx (* (sin im) (cosh re)) #s(hole binary64 (+ (sin im) (* (pow re 2) (+ (* 1/2 (sin im)) (* (pow re 2) (+ (* 1/720 (* (pow re 2) (sin im))) (* 1/24 (sin im)))))))))
#s(approx (cosh re) #s(hole binary64 1))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* 1/2 (pow re 2)))))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* 1/24 (pow re 2)))))))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* (pow re 2) (+ 1/24 (* 1/720 (pow re 2)))))))))
#s(approx (+ (* (* re re) 1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* re re) 1/2) 1) #s(hole binary64 (+ 1 (* 1/2 (pow re 2)))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx re #s(hole binary64 re))
#s(approx (* (sin im) (sinh re)) #s(hole binary64 (* re (sin im))))
#s(approx (* (sin im) (sinh re)) #s(hole binary64 (* re (+ (sin im) (* 1/6 (* (pow re 2) (sin im)))))))
#s(approx (* (sin im) (sinh re)) #s(hole binary64 (* re (+ (sin im) (* (pow re 2) (+ (* 1/120 (* (pow re 2) (sin im))) (* 1/6 (sin im))))))))
#s(approx (* (sin im) (sinh re)) #s(hole binary64 (* re (+ (sin im) (* (pow re 2) (+ (* 1/6 (sin im)) (* (pow re 2) (+ (* 1/5040 (* (pow re 2) (sin im))) (* 1/120 (sin im))))))))))
#s(approx (sinh re) #s(hole binary64 re))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* 1/6 (pow re 2))))))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (+ 1/6 (* 1/120 (pow re 2))))))))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (+ 1/6 (* (pow re 2) (+ 1/120 (* 1/5040 (pow re 2))))))))))
#s(approx (* (+ (* (* re re) 1/6) 1) re) #s(hole binary64 re))
#s(approx (* (+ (* (* re re) 1/6) 1) re) #s(hole binary64 (* re (+ 1 (* 1/6 (pow re 2))))))
#s(approx (+ (* (* re re) 1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* re re) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow re 2)))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (sin im)))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (+ (sin im) (* re (sin im)))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))))
#s(approx (exp re) #s(hole binary64 1))
#s(approx (exp re) #s(hole binary64 (+ 1 re)))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx (+ 1 re) #s(hole binary64 1))
#s(approx (+ 1 re) #s(hole binary64 (+ 1 re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (+ 1 re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (+ (* (* re re) 1/2) re) #s(hole binary64 re))
#s(approx (+ (* (* re re) 1/2) re) #s(hole binary64 (* re (+ 1 (* 1/2 re)))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (+ 1 (* 1/2 re))))
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) #s(hole binary64 (+ (* 1/2 (* (sin im) (+ (exp re) (/ 1 (exp re))))) (* 1/2 (* (sin im) (- (exp re) (/ 1 (exp re))))))))
#s(approx (* (sin im) (cosh re)) #s(hole binary64 (* 1/2 (* (sin im) (+ (exp re) (/ 1 (exp re)))))))
#s(approx (cosh re) #s(hole binary64 (* 1/2 (+ (exp re) (/ 1 (exp re))))))
#s(approx (+ (* (* re re) 1/2) 1) #s(hole binary64 (* 1/2 (pow re 2))))
#s(approx (+ (* (* re re) 1/2) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (/ 1 (pow re 2))))))
#s(approx (* (sin im) (sinh re)) #s(hole binary64 (* 1/2 (* (sin im) (- (exp re) (/ 1 (exp re)))))))
#s(approx (sinh re) #s(hole binary64 (* 1/2 (- (exp re) (/ 1 (exp re))))))
#s(approx (* (+ (* (* re re) 1/6) 1) re) #s(hole binary64 (* 1/6 (pow re 3))))
#s(approx (* (+ (* (* re re) 1/6) 1) re) #s(hole binary64 (* (pow re 3) (+ 1/6 (/ 1 (pow re 2))))))
#s(approx (+ (* (* re re) 1/6) 1) #s(hole binary64 (* 1/6 (pow re 2))))
#s(approx (+ (* (* re re) 1/6) 1) #s(hole binary64 (* (pow re 2) (+ 1/6 (/ 1 (pow re 2))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* (exp re) (sin im))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (+ 1 re) #s(hole binary64 re))
#s(approx (+ 1 re) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* 1/2 (pow re 2))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (/ 1 re)))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))))
#s(approx (+ (* (* re re) 1/2) re) #s(hole binary64 (* 1/2 (pow re 2))))
#s(approx (+ (* (* re re) 1/2) re) #s(hole binary64 (* (pow re 2) (+ 1/2 (/ 1 re)))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* 1/2 re)))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* re (+ 1/2 (/ 1 re)))))
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) #s(hole binary64 (* im (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) #s(hole binary64 (* im (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/12 (+ (exp re) (/ 1 (exp re)))) (* -1/12 (- (exp re) (/ 1 (exp re)))))))))))
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) #s(hole binary64 (* im (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/12 (+ (exp re) (/ 1 (exp re)))) (+ (* -1/12 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* 1/240 (+ (exp re) (/ 1 (exp re)))) (* 1/240 (- (exp re) (/ 1 (exp re))))))))))))))
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) #s(hole binary64 (* im (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/12 (+ (exp re) (/ 1 (exp re)))) (+ (* -1/12 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* 1/240 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/240 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/10080 (+ (exp re) (/ 1 (exp re)))) (* -1/10080 (- (exp re) (/ 1 (exp re)))))))))))))))))
#s(approx (* (sin im) (cosh re)) #s(hole binary64 (* 1/2 (* im (+ (exp re) (/ 1 (exp re)))))))
#s(approx (* (sin im) (cosh re)) #s(hole binary64 (* im (+ (* -1/12 (* (pow im 2) (+ (exp re) (/ 1 (exp re))))) (* 1/2 (+ (exp re) (/ 1 (exp re))))))))
#s(approx (* (sin im) (cosh re)) #s(hole binary64 (* im (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/12 (+ (exp re) (/ 1 (exp re)))) (* 1/240 (* (pow im 2) (+ (exp re) (/ 1 (exp re)))))))))))
#s(approx (* (sin im) (cosh re)) #s(hole binary64 (* im (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/12 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/10080 (* (pow im 2) (+ (exp re) (/ 1 (exp re))))) (* 1/240 (+ (exp re) (/ 1 (exp re))))))))))))
#s(approx (sin im) #s(hole binary64 im))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* -1/6 (pow im 2))))))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))))
#s(approx im #s(hole binary64 im))
#s(approx (* (sin im) (sinh re)) #s(hole binary64 (* 1/2 (* im (- (exp re) (/ 1 (exp re)))))))
#s(approx (* (sin im) (sinh re)) #s(hole binary64 (* im (+ (* -1/12 (* (pow im 2) (- (exp re) (/ 1 (exp re))))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))
#s(approx (* (sin im) (sinh re)) #s(hole binary64 (* im (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/12 (- (exp re) (/ 1 (exp re)))) (* 1/240 (* (pow im 2) (- (exp re) (/ 1 (exp re)))))))))))
#s(approx (* (sin im) (sinh re)) #s(hole binary64 (* im (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/12 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/10080 (* (pow im 2) (- (exp re) (/ 1 (exp re))))) (* 1/240 (- (exp re) (/ 1 (exp re))))))))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* im (exp re))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))))
#s(approx (* (+ (* im (* im -1/6)) 1) im) #s(hole binary64 im))
#s(approx (* (+ (* im (* im -1/6)) 1) im) #s(hole binary64 (* im (+ 1 (* -1/6 (pow im 2))))))
#s(approx (* (+ (* (* im im) -1/6) 1) im) #s(hole binary64 im))
#s(approx (* (+ (* (* im im) -1/6) 1) im) #s(hole binary64 (* im (+ 1 (* -1/6 (pow im 2))))))
#s(approx (+ (* (* im im) -1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* im im) -1/6) 1) #s(hole binary64 (+ 1 (* -1/6 (pow im 2)))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx (sin im) #s(hole binary64 (sin im)))
#s(approx (* (+ (* im (* im -1/6)) 1) im) #s(hole binary64 (* -1/6 (pow im 3))))
#s(approx (* (+ (* im (* im -1/6)) 1) im) #s(hole binary64 (* (pow im 3) (- (/ 1 (pow im 2)) 1/6))))
#s(approx (* (+ (* (* im im) -1/6) 1) im) #s(hole binary64 (* -1/6 (pow im 3))))
#s(approx (* (+ (* (* im im) -1/6) 1) im) #s(hole binary64 (* (pow im 3) (- (/ 1 (pow im 2)) 1/6))))
#s(approx (+ (* (* im im) -1/6) 1) #s(hole binary64 (* -1/6 (pow im 2))))
#s(approx (+ (* (* im im) -1/6) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/6))))
#s(approx (* (+ (* im (* im -1/6)) 1) im) #s(hole binary64 (* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2)))))))
#s(approx (* (+ (* (* im im) -1/6) 1) im) #s(hole binary64 (* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2)))))))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
re
@-inf
((+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) (* (sin im) (cosh re)) (sin im) im (cosh re) (+ (* (* re re) 1/2) 1) (* re re) re 1/2 1 (* (sin im) (sinh re)) (sinh re) (* (+ (* (* re re) 1/6) 1) re) (+ (* (* re re) 1/6) 1) 1/6 (* (exp re) (sin im)) (exp re) (+ 1 re) (sin im) (* (+ (* im (* im -1/6)) 1) im) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* (* re re) 1/2) re) (sin im) (* (exp re) (sin im)) (exp re) (+ 1 re) (sin im) (* (+ (* (* im im) -1/6) 1) im) (+ (* (* im im) -1/6) 1) (* im im) -1/6 (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1))
3.0ms
re
@inf
((+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) (* (sin im) (cosh re)) (sin im) im (cosh re) (+ (* (* re re) 1/2) 1) (* re re) re 1/2 1 (* (sin im) (sinh re)) (sinh re) (* (+ (* (* re re) 1/6) 1) re) (+ (* (* re re) 1/6) 1) 1/6 (* (exp re) (sin im)) (exp re) (+ 1 re) (sin im) (* (+ (* im (* im -1/6)) 1) im) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* (* re re) 1/2) re) (sin im) (* (exp re) (sin im)) (exp re) (+ 1 re) (sin im) (* (+ (* (* im im) -1/6) 1) im) (+ (* (* im im) -1/6) 1) (* im im) -1/6 (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1))
2.0ms
im
@-inf
((+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) (* (sin im) (cosh re)) (sin im) im (cosh re) (+ (* (* re re) 1/2) 1) (* re re) re 1/2 1 (* (sin im) (sinh re)) (sinh re) (* (+ (* (* re re) 1/6) 1) re) (+ (* (* re re) 1/6) 1) 1/6 (* (exp re) (sin im)) (exp re) (+ 1 re) (sin im) (* (+ (* im (* im -1/6)) 1) im) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* (* re re) 1/2) re) (sin im) (* (exp re) (sin im)) (exp re) (+ 1 re) (sin im) (* (+ (* (* im im) -1/6) 1) im) (+ (* (* im im) -1/6) 1) (* im im) -1/6 (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1))
2.0ms
im
@inf
((+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) (* (sin im) (cosh re)) (sin im) im (cosh re) (+ (* (* re re) 1/2) 1) (* re re) re 1/2 1 (* (sin im) (sinh re)) (sinh re) (* (+ (* (* re re) 1/6) 1) re) (+ (* (* re re) 1/6) 1) 1/6 (* (exp re) (sin im)) (exp re) (+ 1 re) (sin im) (* (+ (* im (* im -1/6)) 1) im) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* (* re re) 1/2) re) (sin im) (* (exp re) (sin im)) (exp re) (+ 1 re) (sin im) (* (+ (* (* im im) -1/6) 1) im) (+ (* (* im im) -1/6) 1) (* im im) -1/6 (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1))
1.0ms
re
@0
((+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) (* (sin im) (cosh re)) (sin im) im (cosh re) (+ (* (* re re) 1/2) 1) (* re re) re 1/2 1 (* (sin im) (sinh re)) (sinh re) (* (+ (* (* re re) 1/6) 1) re) (+ (* (* re re) 1/6) 1) 1/6 (* (exp re) (sin im)) (exp re) (+ 1 re) (sin im) (* (+ (* im (* im -1/6)) 1) im) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* (* re re) 1/2) re) (sin im) (* (exp re) (sin im)) (exp re) (+ 1 re) (sin im) (* (+ (* (* im im) -1/6) 1) im) (+ (* (* im im) -1/6) 1) (* im im) -1/6 (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1))

rewrite169.0ms (5.2%)

Memory
-20.7MiB live, 224.4MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03972270
04292088
123031989
083061914
Stop Event
iter-limit
node-limit
iter-limit
Counts
141 → 318
Calls
Call 1
Inputs
(+.f64 (*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (*.f64 (sin.f64 im) #s(approx (sinh re) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))))
(*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(sin.f64 im)
im
#s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 re re)
re
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 (sin.f64 im) #s(approx (sinh re) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re)))
#s(approx (sinh re) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))
(*.f64 (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re)
(fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64))
#s(literal 1/6 binary64)
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) #s(approx (* (+ (* im (* im -1/6)) 1) im) im)))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
#s(approx (sin im) #s(approx (* (+ (* im (* im -1/6)) 1) im) im))
#s(approx (* (+ (* im (* im -1/6)) 1) im) im)
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))) #s(approx (sin im) im))
#s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))
(fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re)
#s(approx (sin im) im)
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (exp re) #s(approx (+ 1 re) re))
#s(approx (+ 1 re) re)
#s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im))
(*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 im im)
#s(literal -1/6 binary64)
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) #s(hole binary64 (sin im)))
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) #s(hole binary64 (+ (sin im) (* re (sin im)))))
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) #s(hole binary64 (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))))
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) #s(hole binary64 (+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))))
#s(approx (* (sin im) (cosh re)) #s(hole binary64 (sin im)))
#s(approx (* (sin im) (cosh re)) #s(hole binary64 (+ (sin im) (* 1/2 (* (pow re 2) (sin im))))))
#s(approx (* (sin im) (cosh re)) #s(hole binary64 (+ (sin im) (* (pow re 2) (+ (* 1/24 (* (pow re 2) (sin im))) (* 1/2 (sin im)))))))
#s(approx (* (sin im) (cosh re)) #s(hole binary64 (+ (sin im) (* (pow re 2) (+ (* 1/2 (sin im)) (* (pow re 2) (+ (* 1/720 (* (pow re 2) (sin im))) (* 1/24 (sin im)))))))))
#s(approx (cosh re) #s(hole binary64 1))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* 1/2 (pow re 2)))))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* 1/24 (pow re 2)))))))
#s(approx (cosh re) #s(hole binary64 (+ 1 (* (pow re 2) (+ 1/2 (* (pow re 2) (+ 1/24 (* 1/720 (pow re 2)))))))))
#s(approx (+ (* (* re re) 1/2) 1) #s(hole binary64 1))
#s(approx (+ (* (* re re) 1/2) 1) #s(hole binary64 (+ 1 (* 1/2 (pow re 2)))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx re #s(hole binary64 re))
#s(approx (* (sin im) (sinh re)) #s(hole binary64 (* re (sin im))))
#s(approx (* (sin im) (sinh re)) #s(hole binary64 (* re (+ (sin im) (* 1/6 (* (pow re 2) (sin im)))))))
#s(approx (* (sin im) (sinh re)) #s(hole binary64 (* re (+ (sin im) (* (pow re 2) (+ (* 1/120 (* (pow re 2) (sin im))) (* 1/6 (sin im))))))))
#s(approx (* (sin im) (sinh re)) #s(hole binary64 (* re (+ (sin im) (* (pow re 2) (+ (* 1/6 (sin im)) (* (pow re 2) (+ (* 1/5040 (* (pow re 2) (sin im))) (* 1/120 (sin im))))))))))
#s(approx (sinh re) #s(hole binary64 re))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* 1/6 (pow re 2))))))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (+ 1/6 (* 1/120 (pow re 2))))))))
#s(approx (sinh re) #s(hole binary64 (* re (+ 1 (* (pow re 2) (+ 1/6 (* (pow re 2) (+ 1/120 (* 1/5040 (pow re 2))))))))))
#s(approx (* (+ (* (* re re) 1/6) 1) re) #s(hole binary64 re))
#s(approx (* (+ (* (* re re) 1/6) 1) re) #s(hole binary64 (* re (+ 1 (* 1/6 (pow re 2))))))
#s(approx (+ (* (* re re) 1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* re re) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow re 2)))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (sin im)))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (+ (sin im) (* re (sin im)))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))))
#s(approx (exp re) #s(hole binary64 1))
#s(approx (exp re) #s(hole binary64 (+ 1 re)))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx (+ 1 re) #s(hole binary64 1))
#s(approx (+ 1 re) #s(hole binary64 (+ 1 re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (+ 1 re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (+ (* (* re re) 1/2) re) #s(hole binary64 re))
#s(approx (+ (* (* re re) 1/2) re) #s(hole binary64 (* re (+ 1 (* 1/2 re)))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (+ 1 (* 1/2 re))))
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) #s(hole binary64 (+ (* 1/2 (* (sin im) (+ (exp re) (/ 1 (exp re))))) (* 1/2 (* (sin im) (- (exp re) (/ 1 (exp re))))))))
#s(approx (* (sin im) (cosh re)) #s(hole binary64 (* 1/2 (* (sin im) (+ (exp re) (/ 1 (exp re)))))))
#s(approx (cosh re) #s(hole binary64 (* 1/2 (+ (exp re) (/ 1 (exp re))))))
#s(approx (+ (* (* re re) 1/2) 1) #s(hole binary64 (* 1/2 (pow re 2))))
#s(approx (+ (* (* re re) 1/2) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (/ 1 (pow re 2))))))
#s(approx (* (sin im) (sinh re)) #s(hole binary64 (* 1/2 (* (sin im) (- (exp re) (/ 1 (exp re)))))))
#s(approx (sinh re) #s(hole binary64 (* 1/2 (- (exp re) (/ 1 (exp re))))))
#s(approx (* (+ (* (* re re) 1/6) 1) re) #s(hole binary64 (* 1/6 (pow re 3))))
#s(approx (* (+ (* (* re re) 1/6) 1) re) #s(hole binary64 (* (pow re 3) (+ 1/6 (/ 1 (pow re 2))))))
#s(approx (+ (* (* re re) 1/6) 1) #s(hole binary64 (* 1/6 (pow re 2))))
#s(approx (+ (* (* re re) 1/6) 1) #s(hole binary64 (* (pow re 2) (+ 1/6 (/ 1 (pow re 2))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* (exp re) (sin im))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (+ 1 re) #s(hole binary64 re))
#s(approx (+ 1 re) #s(hole binary64 (* re (+ 1 (/ 1 re)))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* 1/2 (pow re 2))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (/ 1 re)))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(hole binary64 (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))))
#s(approx (+ (* (* re re) 1/2) re) #s(hole binary64 (* 1/2 (pow re 2))))
#s(approx (+ (* (* re re) 1/2) re) #s(hole binary64 (* (pow re 2) (+ 1/2 (/ 1 re)))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* 1/2 re)))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* re (+ 1/2 (/ 1 re)))))
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) #s(hole binary64 (* im (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) #s(hole binary64 (* im (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/12 (+ (exp re) (/ 1 (exp re)))) (* -1/12 (- (exp re) (/ 1 (exp re)))))))))))
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) #s(hole binary64 (* im (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/12 (+ (exp re) (/ 1 (exp re)))) (+ (* -1/12 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* 1/240 (+ (exp re) (/ 1 (exp re)))) (* 1/240 (- (exp re) (/ 1 (exp re))))))))))))))
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) #s(hole binary64 (* im (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/12 (+ (exp re) (/ 1 (exp re)))) (+ (* -1/12 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* 1/240 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/240 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/10080 (+ (exp re) (/ 1 (exp re)))) (* -1/10080 (- (exp re) (/ 1 (exp re)))))))))))))))))
#s(approx (* (sin im) (cosh re)) #s(hole binary64 (* 1/2 (* im (+ (exp re) (/ 1 (exp re)))))))
#s(approx (* (sin im) (cosh re)) #s(hole binary64 (* im (+ (* -1/12 (* (pow im 2) (+ (exp re) (/ 1 (exp re))))) (* 1/2 (+ (exp re) (/ 1 (exp re))))))))
#s(approx (* (sin im) (cosh re)) #s(hole binary64 (* im (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/12 (+ (exp re) (/ 1 (exp re)))) (* 1/240 (* (pow im 2) (+ (exp re) (/ 1 (exp re)))))))))))
#s(approx (* (sin im) (cosh re)) #s(hole binary64 (* im (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/12 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/10080 (* (pow im 2) (+ (exp re) (/ 1 (exp re))))) (* 1/240 (+ (exp re) (/ 1 (exp re))))))))))))
#s(approx (sin im) #s(hole binary64 im))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* -1/6 (pow im 2))))))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))))
#s(approx im #s(hole binary64 im))
#s(approx (* (sin im) (sinh re)) #s(hole binary64 (* 1/2 (* im (- (exp re) (/ 1 (exp re)))))))
#s(approx (* (sin im) (sinh re)) #s(hole binary64 (* im (+ (* -1/12 (* (pow im 2) (- (exp re) (/ 1 (exp re))))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))
#s(approx (* (sin im) (sinh re)) #s(hole binary64 (* im (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/12 (- (exp re) (/ 1 (exp re)))) (* 1/240 (* (pow im 2) (- (exp re) (/ 1 (exp re)))))))))))
#s(approx (* (sin im) (sinh re)) #s(hole binary64 (* im (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/12 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/10080 (* (pow im 2) (- (exp re) (/ 1 (exp re))))) (* 1/240 (- (exp re) (/ 1 (exp re))))))))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* im (exp re))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))))
#s(approx (* (+ (* im (* im -1/6)) 1) im) #s(hole binary64 im))
#s(approx (* (+ (* im (* im -1/6)) 1) im) #s(hole binary64 (* im (+ 1 (* -1/6 (pow im 2))))))
#s(approx (* (+ (* (* im im) -1/6) 1) im) #s(hole binary64 im))
#s(approx (* (+ (* (* im im) -1/6) 1) im) #s(hole binary64 (* im (+ 1 (* -1/6 (pow im 2))))))
#s(approx (+ (* (* im im) -1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* im im) -1/6) 1) #s(hole binary64 (+ 1 (* -1/6 (pow im 2)))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx (sin im) #s(hole binary64 (sin im)))
#s(approx (* (+ (* im (* im -1/6)) 1) im) #s(hole binary64 (* -1/6 (pow im 3))))
#s(approx (* (+ (* im (* im -1/6)) 1) im) #s(hole binary64 (* (pow im 3) (- (/ 1 (pow im 2)) 1/6))))
#s(approx (* (+ (* (* im im) -1/6) 1) im) #s(hole binary64 (* -1/6 (pow im 3))))
#s(approx (* (+ (* (* im im) -1/6) 1) im) #s(hole binary64 (* (pow im 3) (- (/ 1 (pow im 2)) 1/6))))
#s(approx (+ (* (* im im) -1/6) 1) #s(hole binary64 (* -1/6 (pow im 2))))
#s(approx (+ (* (* im im) -1/6) 1) #s(hole binary64 (* (pow im 2) (- (/ 1 (pow im 2)) 1/6))))
#s(approx (* (+ (* im (* im -1/6)) 1) im) #s(hole binary64 (* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2)))))))
#s(approx (* (+ (* (* im im) -1/6) 1) im) #s(hole binary64 (* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2)))))))
Outputs
(*.f64 (sin.f64 im) (+.f64 #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(approx (sinh re) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 im) #s(approx (sinh re) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 im) #s(approx (sinh re) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 im) #s(approx (sinh re) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))) (*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 im) #s(approx (sinh re) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (*.f64 (sin.f64 im) #s(approx (sinh re) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 im) #s(approx (sinh re) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 im) #s(approx (sinh re) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (*.f64 (sin.f64 im) #s(approx (sinh re) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 im) #s(approx (sinh re) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (*.f64 (sin.f64 im) #s(approx (sinh re) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 im) #s(approx (sinh re) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 im) #s(approx (sinh re) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (*.f64 (sin.f64 im) #s(approx (sinh re) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re)))))))
(fma.f64 (sin.f64 im) #s(approx (sinh re) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re)) (*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(fma.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (sin.f64 im) #s(approx (sinh re) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))))
(fma.f64 #s(approx (sinh re) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re)) (sin.f64 im) (*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(fma.f64 #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sin.f64 im) (*.f64 (sin.f64 im) #s(approx (sinh re) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))))
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (*.f64 (sin.f64 im) #s(approx (sinh re) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))))) (/.f64 (pow.f64 (*.f64 (sin.f64 im) #s(approx (sinh re) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (*.f64 (sin.f64 im) #s(approx (sinh re) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))))))
(-.f64 (*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (*.f64 (neg.f64 (sin.f64 im)) #s(approx (sinh re) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))))
(+.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 im) #s(approx (sinh re) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (*.f64 (sin.f64 im) #s(approx (sinh re) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))))))) (/.f64 (pow.f64 (*.f64 (sin.f64 im) #s(approx (sinh re) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 im) #s(approx (sinh re) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (*.f64 (sin.f64 im) #s(approx (sinh re) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))))))))
(+.f64 (*.f64 (sin.f64 im) #s(approx (sinh re) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))) (*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(+.f64 (*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (*.f64 (sin.f64 im) #s(approx (sinh re) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))))
(*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sin.f64 im))
(sin.f64 im)
im
#s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)) #s(literal 1/2 binary64)) (*.f64 re re))
(*.f64 (*.f64 re re) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 re re)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 re re) re) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re re) re))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 re re) re) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re re) re)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 re re) re) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re re) re)))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 (*.f64 (*.f64 re re) re) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re re) re)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 re re) #s(literal 1 binary64))
(fma.f64 re (*.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
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#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (+ 1 re) #s(literal 1 binary64))
#s(approx (+ 1 re) (+.f64 #s(literal 1 binary64) re))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (+.f64 #s(literal 1 binary64) re))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (+ (* (* re re) 1/2) re) re)
#s(approx (+ (* (* re re) 1/2) re) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))
#s(approx (+ (* 1/2 re) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/2 re) 1) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)))
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (sin.f64 im) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) (sin.f64 im)))))
#s(approx (* (sin im) (cosh re)) (*.f64 (*.f64 (sin.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 1/2 binary64)))
#s(approx (cosh re) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 1/2 binary64)))
#s(approx (+ (* (* re re) 1/2) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))
#s(approx (+ (* (* re re) 1/2) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (* (sin im) (sinh re)) (*.f64 (*.f64 (sin.f64 im) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 re))))
#s(approx (sinh re) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (* re re) 1/6) 1) re) (*.f64 (*.f64 (*.f64 re re) re) #s(literal 1/6 binary64)))
#s(approx (* (+ (* (* re re) 1/6) 1) re) (fma.f64 (*.f64 (*.f64 re re) re) #s(literal 1/6 binary64) re))
#s(approx (+ (* (* re re) 1/6) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64)))
#s(approx (+ (* (* re re) 1/6) 1) (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) (*.f64 (sin.f64 im) (exp.f64 re)))
#s(approx (exp re) (exp.f64 re))
#s(approx (+ 1 re) re)
#s(approx (+ 1 re) (fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 re re))) (*.f64 re re)))
#s(approx (+ (* (* re re) 1/2) re) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))
#s(approx (+ (* (* re re) 1/2) re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))
#s(approx (+ (* 1/2 re) 1) (*.f64 #s(literal 1/2 binary64) re))
#s(approx (+ (* 1/2 re) 1) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)))
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) im))
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) (*.f64 (*.f64 #s(literal -1/12 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) (*.f64 im im))) im))
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) (*.f64 (fma.f64 #s(literal -1/12 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) (*.f64 (*.f64 #s(literal 1/240 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) (*.f64 im im))) (*.f64 im im))) im))
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) (*.f64 (fma.f64 #s(literal -1/12 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) (*.f64 (fma.f64 #s(literal 1/240 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) (*.f64 (*.f64 #s(literal -1/10080 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) (*.f64 im im))) (*.f64 im im))) (*.f64 im im))) im))
#s(approx (* (sin im) (cosh re)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) im) #s(literal 1/2 binary64)))
#s(approx (* (sin im) (cosh re)) (*.f64 (fma.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 im im)) (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 1/2 binary64))) im))
#s(approx (* (sin im) (cosh re)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 im im)) (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (*.f64 #s(literal -1/12 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 re)))) (*.f64 im im) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 1/2 binary64))) im))
#s(approx (* (sin im) (cosh re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/10080 binary64) (*.f64 im im)) (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (*.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 re)))) (*.f64 im im) (*.f64 #s(literal -1/12 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 re)))) (*.f64 im im) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 1/2 binary64))) im))
#s(approx (sin im) im)
#s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im))
#s(approx (sin im) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 im im) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im))
#s(approx (sin im) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im)) #s(literal 1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) im))
#s(approx im im)
#s(approx (* (sin im) (sinh re)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) im) #s(literal 1/2 binary64)))
#s(approx (* (sin im) (sinh re)) (*.f64 (fma.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 im im)) (*.f64 #s(literal 2 binary64) (sinh.f64 re)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 1/2 binary64))) im))
#s(approx (* (sin im) (sinh re)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 im im)) (*.f64 #s(literal 2 binary64) (sinh.f64 re)) (*.f64 #s(literal -1/12 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) (*.f64 im im) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 1/2 binary64))) im))
#s(approx (* (sin im) (sinh re)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/10080 binary64) (*.f64 im im)) (*.f64 #s(literal 2 binary64) (sinh.f64 re)) (*.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) (*.f64 im im) (*.f64 #s(literal -1/12 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) (*.f64 im im) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 1/2 binary64))) im))
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) (*.f64 (exp.f64 re) im))
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) (*.f64 (fma.f64 (*.f64 (*.f64 im im) (exp.f64 re)) #s(literal -1/6 binary64) (exp.f64 re)) im))
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 im im) (exp.f64 re)) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) (exp.f64 re))) (*.f64 im im) (exp.f64 re)) im))
#s(approx (+ (* (sin im) (cosh re)) (* (sin im) (sinh re))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 im im) (exp.f64 re)) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) (exp.f64 re))) (*.f64 im im) (*.f64 #s(literal -1/6 binary64) (exp.f64 re))) (*.f64 im im) (exp.f64 re)) im))
#s(approx (* (+ (* im (* im -1/6)) 1) im) im)
#s(approx (* (+ (* im (* im -1/6)) 1) im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im))
#s(approx (* (+ (* im (* im -1/6)) 1) im) im)
#s(approx (* (+ (* im (* im -1/6)) 1) im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im))
#s(approx (+ (* (* im im) -1/6) 1) #s(literal 1 binary64))
#s(approx (+ (* (* im im) -1/6) 1) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (* im im) (*.f64 im im))
#s(approx (sin im) (sin.f64 im))
#s(approx (* (+ (* im (* im -1/6)) 1) im) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))
#s(approx (* (+ (* im (* im -1/6)) 1) im) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) (*.f64 (*.f64 im im) im)))
#s(approx (* (+ (* im (* im -1/6)) 1) im) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))
#s(approx (* (+ (* im (* im -1/6)) 1) im) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) (*.f64 (*.f64 im im) im)))
#s(approx (+ (* (* im im) -1/6) 1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64)))
#s(approx (+ (* (* im im) -1/6) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) (*.f64 im im)))
#s(approx (* (+ (* im (* im -1/6)) 1) im) (neg.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 im im))) (*.f64 (*.f64 im im) im))))
#s(approx (* (+ (* im (* im -1/6)) 1) im) (neg.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 im im))) (*.f64 (*.f64 im im) im))))

eval35.0ms (1.1%)

Memory
27.3MiB live, 70.1MiB allocated; 7ms collecting garbage
Compiler

Compiled 3 774 to 1 618 computations (57.1% saved)

prune19.0ms (0.6%)

Memory
-8.3MiB live, 37.2MiB allocated; 5ms collecting garbage
Pruning

18 alts after pruning (9 fresh and 9 done)

PrunedKeptTotal
New3085313
Fresh044
Picked235
Done066
Total31018328
Accuracy
100.0%
Counts
328 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.7%
(fma.f64 (sin.f64 im) #s(approx (sinh re) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re)) (*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
100.0%
(*.f64 (exp.f64 re) (sin.f64 im))
71.1%
(*.f64 (exp.f64 re) #s(approx (sin im) im))
36.0%
(*.f64 #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im)) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)))
65.7%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
39.8%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) im))
55.9%
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (sin.f64 im))
34.1%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) #s(approx (* (+ (* im (* im -1/6)) 1) im) im)))
11.7%
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))) #s(approx (sin im) im))
11.7%
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 re (*.f64 #s(literal 1/2 binary64) re) re))) #s(approx (sin im) im))
11.7%
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (sin im) im))
6.2%
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(approx (+ (* (* re re) 1/2) re) re))) #s(approx (sin im) im))
7.9%
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (sin im) (*.f64 (fma.f64 (exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
15.5%
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (sin im) (*.f64 #s(approx (+ (* (* im im) -1/6) 1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))) im)))
34.2%
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
31.9%
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) im))
63.5%
#s(approx (* (exp re) (sin im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (sin.f64 im)) re (sin.f64 im)))
55.5%
#s(approx (* (exp re) (sin im)) (sin.f64 im))
Compiler

Compiled 420 to 363 computations (13.6% saved)

regimes51.0ms (1.6%)

Memory
-27.6MiB live, 75.6MiB allocated; 22ms collecting garbage
Counts
28 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(approx (+ (* (* re re) 1/2) re) re))) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) #s(approx (* (+ (* im (* im -1/6)) 1) im) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 re (*.f64 #s(literal 1/2 binary64) re) re))) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (sin im) (*.f64 #s(approx (+ (* (* im im) -1/6) 1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) im))
(*.f64 (exp.f64 re) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im)) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)))
(*.f64 (exp.f64 re) #s(approx (sin im) #s(approx (* (+ (* (* im im) -1/6) 1) im) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))))
(*.f64 (exp.f64 re) #s(approx (sin im) (*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)))
(*.f64 (exp.f64 re) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (sin im) (*.f64 (fma.f64 (exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (sin.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (sin.f64 im)) re (sin.f64 im)))
(fma.f64 (sin.f64 im) #s(approx (sinh re) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re)) (*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(+.f64 (*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (*.f64 (sin.f64 im) #s(approx (sinh re) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/6 binary64) #s(literal 1 binary64)) re))))
(+.f64 (*.f64 (sin.f64 im) #s(approx (cosh re) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (*.f64 (sin.f64 im) (sinh.f64 re)))
(+.f64 (*.f64 (sin.f64 im) (cosh.f64 re)) (*.f64 (sin.f64 im) (sinh.f64 re)))
Outputs
(*.f64 (exp.f64 re) (sin.f64 im))
Calls

5 calls:

11.0ms
re
8.0ms
im
7.0ms
(sin.f64 im)
7.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
5.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
100.0%1(sin.f64 im)
100.0%1(exp.f64 re)
100.0%1(*.f64 (exp.f64 re) (sin.f64 im))
100.0%1re
100.0%1im
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes31.0ms (1%)

Memory
10.9MiB live, 58.0MiB allocated; 2ms collecting garbage
Counts
22 → 4
Calls
Call 1
Inputs
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(approx (+ (* (* re re) 1/2) re) re))) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) #s(approx (* (+ (* im (* im -1/6)) 1) im) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 re (*.f64 #s(literal 1/2 binary64) re) re))) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (sin im) (*.f64 #s(approx (+ (* (* im im) -1/6) 1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) im))
(*.f64 (exp.f64 re) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im)) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)))
(*.f64 (exp.f64 re) #s(approx (sin im) #s(approx (* (+ (* (* im im) -1/6) 1) im) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))))
(*.f64 (exp.f64 re) #s(approx (sin im) (*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)))
(*.f64 (exp.f64 re) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (sin im) (*.f64 (fma.f64 (exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (sin.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
Outputs
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
(*.f64 (exp.f64 re) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (sin.f64 im))
(*.f64 (exp.f64 re) #s(approx (sin im) im))
Calls

5 calls:

7.0ms
(sin.f64 im)
6.0ms
im
6.0ms
re
5.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
4.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
85.2%3(sin.f64 im)
94.9%3(exp.f64 re)
98.1%4(*.f64 (exp.f64 re) (sin.f64 im))
98.0%4re
85.2%2im
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes12.0ms (0.4%)

Memory
21.9MiB live, 21.9MiB allocated; 0ms collecting garbage
Counts
21 → 5
Calls
Call 1
Inputs
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(approx (+ (* (* re re) 1/2) re) re))) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) #s(approx (* (+ (* im (* im -1/6)) 1) im) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 re (*.f64 #s(literal 1/2 binary64) re) re))) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (sin im) (*.f64 #s(approx (+ (* (* im im) -1/6) 1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) im))
(*.f64 (exp.f64 re) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im)) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)))
(*.f64 (exp.f64 re) #s(approx (sin im) #s(approx (* (+ (* (* im im) -1/6) 1) im) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))))
(*.f64 (exp.f64 re) #s(approx (sin im) (*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)))
(*.f64 (exp.f64 re) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (sin im) (*.f64 (fma.f64 (exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (sin.f64 im))
Outputs
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (sin.f64 im))
(*.f64 (exp.f64 re) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) (sin.f64 im))
(*.f64 (exp.f64 re) #s(approx (sin im) im))
Calls

2 calls:

6.0ms
re
5.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
94.8%3re
99.5%5(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes6.0ms (0.2%)

Memory
10.7MiB live, 10.7MiB allocated; 0ms collecting garbage
Counts
20 → 5
Calls
Call 1
Inputs
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(approx (+ (* (* re re) 1/2) re) re))) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) #s(approx (* (+ (* im (* im -1/6)) 1) im) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 re (*.f64 #s(literal 1/2 binary64) re) re))) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (sin im) (*.f64 #s(approx (+ (* (* im im) -1/6) 1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) im))
(*.f64 (exp.f64 re) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im)) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)))
(*.f64 (exp.f64 re) #s(approx (sin im) #s(approx (* (+ (* (* im im) -1/6) 1) im) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))))
(*.f64 (exp.f64 re) #s(approx (sin im) (*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)))
(*.f64 (exp.f64 re) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (sin im) (*.f64 (fma.f64 (exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
Outputs
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
(*.f64 (exp.f64 re) #s(approx (sin im) im))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
(*.f64 (exp.f64 re) #s(approx (sin im) im))
Calls

1 calls:

5.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
99.3%5(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes27.0ms (0.8%)

Memory
3.0MiB live, 49.6MiB allocated; 2ms collecting garbage
Counts
19 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(approx (+ (* (* re re) 1/2) re) re))) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) #s(approx (* (+ (* im (* im -1/6)) 1) im) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 re (*.f64 #s(literal 1/2 binary64) re) re))) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (sin im) (*.f64 #s(approx (+ (* (* im im) -1/6) 1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) im))
(*.f64 (exp.f64 re) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im)) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)))
(*.f64 (exp.f64 re) #s(approx (sin im) #s(approx (* (+ (* (* im im) -1/6) 1) im) (*.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64)))))
(*.f64 (exp.f64 re) #s(approx (sin im) (*.f64 (fma.f64 im (*.f64 im #s(literal -1/6 binary64)) #s(literal 1 binary64)) im)))
(*.f64 (exp.f64 re) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (sin im) (*.f64 (fma.f64 (exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
Outputs
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
(*.f64 (exp.f64 re) #s(approx (sin im) im))
Calls

5 calls:

6.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
5.0ms
(sin.f64 im)
5.0ms
im
5.0ms
re
4.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
71.1%1(sin.f64 im)
71.1%1im
71.1%1re
71.1%1(exp.f64 re)
76.2%2(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes8.0ms (0.2%)

Memory
-35.7MiB live, 8.8MiB allocated; 7ms collecting garbage
Counts
13 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(approx (+ (* (* re re) 1/2) re) re))) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) #s(approx (* (+ (* im (* im -1/6)) 1) im) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 re (*.f64 #s(literal 1/2 binary64) re) re))) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (sin im) (*.f64 #s(approx (+ (* (* im im) -1/6) 1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) im))
(*.f64 (exp.f64 re) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
Outputs
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
(*.f64 (exp.f64 re) #s(approx (sin im) im))
Calls

1 calls:

7.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
76.0%2(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes4.0ms (0.1%)

Memory
8.3MiB live, 8.3MiB allocated; 0ms collecting garbage
Counts
12 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(approx (+ (* (* re re) 1/2) re) re))) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) #s(approx (* (+ (* im (* im -1/6)) 1) im) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 re (*.f64 #s(literal 1/2 binary64) re) re))) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (sin im) (*.f64 #s(approx (+ (* (* im im) -1/6) 1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) im))
(*.f64 (exp.f64 re) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) #s(literal 1 binary64))) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im)))
Outputs
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (sin im) (*.f64 #s(approx (+ (* (* im im) -1/6) 1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))) im)))
(*.f64 (exp.f64 re) #s(approx (sin im) im))
Calls

1 calls:

3.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
76.0%2(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes15.0ms (0.4%)

Memory
29.4MiB live, 29.4MiB allocated; 0ms collecting garbage
Counts
9 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(approx (+ (* (* re re) 1/2) re) re))) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) #s(approx (* (+ (* im (* im -1/6)) 1) im) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 re (*.f64 #s(literal 1/2 binary64) re) re))) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (sin im) (*.f64 #s(approx (+ (* (* im im) -1/6) 1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) im))
Outputs
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (sin im) (*.f64 #s(approx (+ (* (* im im) -1/6) 1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) im))
Calls

5 calls:

3.0ms
im
3.0ms
(sin.f64 im)
3.0ms
re
3.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
2.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
41.5%2im
44.7%2(sin.f64 im)
47.8%2re
47.8%2(exp.f64 re)
52.7%2(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes9.0ms (0.3%)

Memory
-42.6MiB live, 6.6MiB allocated; 8ms collecting garbage
Counts
8 → 3
Calls
Call 1
Inputs
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(approx (+ (* (* re re) 1/2) re) re))) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) #s(approx (* (+ (* im (* im -1/6)) 1) im) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 re (*.f64 #s(literal 1/2 binary64) re) re))) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (sin im) (*.f64 #s(approx (+ (* (* im im) -1/6) 1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))) im)))
Outputs
(*.f64 #s(approx (exp re) #s(approx (+ 1 re) re)) #s(approx (sin im) (*.f64 #s(approx (+ (* (* im im) -1/6) 1) (*.f64 (*.f64 im im) #s(literal -1/6 binary64))) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (sin im) im))
Calls

1 calls:

8.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
52.6%3(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes12.0ms (0.4%)

Memory
25.4MiB live, 25.4MiB allocated; 0ms collecting garbage
Counts
7 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(approx (+ (* (* re re) 1/2) re) re))) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) #s(approx (* (+ (* im (* im -1/6)) 1) im) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 re (*.f64 #s(literal 1/2 binary64) re) re))) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))) #s(approx (sin im) im))
Outputs
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (sin im) im))
Calls

5 calls:

2.0ms
im
2.0ms
(sin.f64 im)
2.0ms
re
2.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
2.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
36.2%2im
36.0%2(sin.f64 im)
39.9%2re
39.9%2(exp.f64 re)
40.0%2(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes13.0ms (0.4%)

Memory
-25.0MiB live, 20.6MiB allocated; 7ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(approx (+ (* (* re re) 1/2) re) re))) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) #s(approx (* (+ (* im (* im -1/6)) 1) im) im)))
Outputs
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) im))
Calls

5 calls:

6.0ms
(sin.f64 im)
2.0ms
im
2.0ms
re
2.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
1.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
34.1%1(sin.f64 im)
34.1%1im
34.1%1re
34.1%1(exp.f64 re)
34.1%1(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes6.0ms (0.2%)

Memory
14.8MiB live, 14.8MiB allocated; 0ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(approx (+ (* (* re re) 1/2) re) re))) #s(approx (sin im) im))
Outputs
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) #s(approx (+ (* (* re re) 1/2) re) re))) #s(approx (sin im) im))
Calls

5 calls:

1.0ms
(sin.f64 im)
1.0ms
im
1.0ms
re
1.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
1.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
34.4%2im
34.1%2(sin.f64 im)
34.2%2(exp.f64 re)
34.2%2re
34.3%2(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes5.0ms (0.2%)

Memory
11.3MiB live, 11.3MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) im))
Outputs
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) im))
Calls

5 calls:

1.0ms
(sin.f64 im)
1.0ms
im
1.0ms
re
1.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
1.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
31.9%1(sin.f64 im)
31.9%1(exp.f64 re)
31.9%1re
31.9%1(*.f64 (exp.f64 re) (sin.f64 im))
31.9%1im
Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.999758688615144
+inf
0.0ms
5.426561857709292e-199
5.20335824965961e-181
0.0ms
-0.006933945740773665
0.0
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.999758688615144
+inf
0.0ms
5.426561857709292e-199
5.20335824965961e-181
0.0ms
-0.006933945740773665
0.0
0.0ms
-16136541.159956118
-0.9998852580269393
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.999758688615144
+inf
0.0ms
5.426561857709292e-199
5.20335824965961e-181
0.0ms
-0.006933945740773665
0.0
0.0ms
-16136541.159956118
-0.9998852580269393
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.006933945740773665
0.0
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.006933945740773665
0.0
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.006933945740773665
0.0
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
2.1059265966734427e-307
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.36828570582394354
0.3686795773437685
0.0ms
0.0
2.1059265966734427e-307
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.36828570582394354
0.3686795773437685
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch15.0ms (0.5%)

Memory
15.3MiB live, 15.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
3847258633705.5327
10069532211508138.0
Samples
9.0ms128×0valid
Compiler

Compiled 216 to 234 computations (-8.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sin: 5.0ms (76.8% of total)
ival-exp: 1.0ms (15.4% of total)
ival-mult!: 1.0ms (15.4% of total)
adjust: 0.0ms (0% of total)

derivations336.0ms (10.3%)

Memory
6.8MiB live, 282.5MiB allocated; 41ms collecting garbage
Stop Event
fuel
Compiler

Compiled 141 to 94 computations (33.3% saved)

preprocess201.0ms (6.2%)

Memory
-5.5MiB live, 292.1MiB allocated; 52ms collecting garbage
Remove

(negabs im)

Compiler

Compiled 814 to 727 computations (10.7% saved)

end0.0ms (0%)

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

Profiling

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