math.cos on complex, imaginary part

Time bar (total: 6.5s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB 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 13 to 12 computations (7.7% saved)

sample2.5s (37.6%)

Memory
35.5MiB live, 2 552.1MiB allocated; 572ms collecting garbage
Samples
852.0ms1 183×2valid
621.0ms2 872×1valid
477.0ms4 201×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.6s
ival-exp: 897.0ms (56% of total)
ival-sin: 369.0ms (23% of total)
adjust: 152.0ms (9.5% of total)
ival-mult!: 101.0ms (6.3% of total)
ival-neg: 51.0ms (3.2% of total)
ival-sub!: 33.0ms (2.1% of total)
Bogosity

preprocess85.0ms (1.3%)

Memory
-15.6MiB live, 74.1MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02668
19255
236234
3262234
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.3%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Symmetry

(negabs re)

(negabs im)

Compiler

Compiled 20 to 20 computations (0% saved)

series49.0ms (0.8%)

Memory
2.2MiB live, 55.5MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0185677
Stop Event
iter-limit
Counts
10 → 38
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.f64 re)
re
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
Outputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (*.f64 re (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 re (fma.f64 #s(literal -1/12 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/240 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(literal 1/240 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))))))
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
#s(approx (* 1/2 (sin re)) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (* 1/2 (sin re)) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/240 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/12 binary64))))))
#s(approx (* 1/2 (sin re)) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (*.f64 #s(literal -1/10080 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/12 binary64))))))
#s(approx (sin re) re)
#s(approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
#s(approx (sin re) (sin.f64 re))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 im (fma.f64 #s(literal -1 binary64) (sin.f64 re) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 im (fma.f64 #s(literal -1 binary64) (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 re) (*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 im (fma.f64 #s(literal -1 binary64) (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) (sin.f64 re) (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))))))))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 #s(literal -2 binary64) im))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
#s(approx (exp (neg im)) #s(literal 1 binary64))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im)))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)))))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))))
#s(approx (neg im) (*.f64 #s(literal -1 binary64) im))
#s(approx im im)
#s(approx (exp im) (+.f64 #s(literal 1 binary64) im))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))))
#s(approx (- (exp (neg im)) (exp im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (exp (neg im)) (exp.f64 (neg.f64 im)))
#s(approx (exp im) (exp.f64 im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))))
#s(approx (- (exp (neg im)) (exp im)) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))
#s(approx (exp (neg im)) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
Calls

6 calls:

TimeVariablePointExpression
2.0ms
im
@0
((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) 1/2 (sin re) re (- (exp (neg im)) (exp im)) (exp (neg im)) (neg im) im (exp im))
1.0ms
re
@inf
((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) 1/2 (sin re) re (- (exp (neg im)) (exp im)) (exp (neg im)) (neg im) im (exp im))
1.0ms
im
@-inf
((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) 1/2 (sin re) re (- (exp (neg im)) (exp im)) (exp (neg im)) (neg im) im (exp im))
1.0ms
im
@inf
((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) 1/2 (sin re) re (- (exp (neg im)) (exp im)) (exp (neg im)) (neg im) im (exp im))
1.0ms
re
@-inf
((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) 1/2 (sin re) re (- (exp (neg im)) (exp im)) (exp (neg im)) (neg im) im (exp im))

rewrite341.0ms (5.2%)

Memory
-13.7MiB live, 428.1MiB allocated; 60ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01033
01733
15231
220126
3123126
0817226
12502726
Stop Event
saturated
node-limit
iter-limit
Counts
10 → 564
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.f64 re)
re
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
Outputs
(*.f64 (neg.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (sin.f64 re)) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) (neg.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(*.f64 (sinh.f64 (neg.f64 im)) (sin.f64 re))
(*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (sinh.f64 im)))
(*.f64 (sin.f64 re) (sinh.f64 (neg.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (sin.f64 re)))
(neg.f64 (*.f64 (sinh.f64 im) (sin.f64 re)))
(fma.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (sin.f64 re) (neg.f64 (exp.f64 im))) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (neg.f64 (exp.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(fma.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (sin.f64 re) (*.f64 (*.f64 (sin.f64 re) (neg.f64 (exp.f64 im))) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (sin.f64 re) (neg.f64 (exp.f64 im))) #s(literal 1/2 binary64) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(fma.f64 (/.f64 (sin.f64 re) (exp.f64 im)) #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 re) (neg.f64 (exp.f64 im))) #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (*.f64 (*.f64 (sin.f64 re) (neg.f64 (exp.f64 im))) #s(literal 1/2 binary64)))
(fma.f64 (cosh.f64 im) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (*.f64 (-.f64 (neg.f64 (exp.f64 im)) (sinh.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (exp.f64 (neg.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sin.f64 re) (neg.f64 (exp.f64 im))) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (neg.f64 (exp.f64 im)) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (cosh.f64 im) (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (neg.f64 (exp.f64 im)) (sinh.f64 im))))
(fma.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 im)) (*.f64 (*.f64 (sin.f64 re) (neg.f64 (exp.f64 im))) #s(literal 1/2 binary64)))
(fma.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 im))) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(fma.f64 (sin.f64 re) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 im))) (*.f64 (*.f64 (sin.f64 re) (neg.f64 (exp.f64 im))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (neg.f64 (exp.f64 im))) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 re) (exp.f64 im)) (*.f64 (*.f64 (sin.f64 re) (neg.f64 (exp.f64 im))) #s(literal 1/2 binary64)))
(-.f64 (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (*.f64 (exp.f64 im) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (*.f64 (neg.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (neg.f64 (exp.f64 im))))
(-.f64 (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (neg.f64 (*.f64 (*.f64 (sin.f64 re) (neg.f64 (exp.f64 im))) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (cosh.f64 im)) (*.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (-.f64 (neg.f64 (exp.f64 im)) (sinh.f64 im))))
(+.f64 (*.f64 (cosh.f64 im) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))) (*.f64 (-.f64 (neg.f64 (exp.f64 im)) (sinh.f64 im)) (*.f64 (sin.f64 re) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (*.f64 (sin.f64 re) (neg.f64 (exp.f64 im))) #s(literal 1/2 binary64)) (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)))
(+.f64 (/.f64 (*.f64 (sin.f64 re) #s(literal 1/2 binary64)) (exp.f64 im)) (*.f64 (*.f64 (sin.f64 re) (neg.f64 (exp.f64 im))) #s(literal 1/2 binary64)))
(*.f64 (sin.f64 re) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.f64 re)
re
(*.f64 #s(literal -2 binary64) (sinh.f64 im))
(*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 im)))
(/.f64 (+.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) (*.f64 #s(literal -2 binary64) (sinh.f64 im))) #s(literal 2 binary64))
(/.f64 (+.f64 (fma.f64 (neg.f64 (cosh.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 im))) (fma.f64 (sinh.f64 (neg.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal 2 binary64))
(/.f64 (+.f64 (fma.f64 (neg.f64 (cosh.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 im))) (fma.f64 (cosh.f64 im) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 im)))) #s(literal 2 binary64))
(/.f64 (+.f64 (fma.f64 (neg.f64 (cosh.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 im))) (-.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal 2 binary64))
(/.f64 (+.f64 (fma.f64 (neg.f64 (cosh.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 im))) (fma.f64 #s(literal -2 binary64) (sinh.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal 2 binary64))
(/.f64 (+.f64 (fma.f64 (neg.f64 (cosh.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 im))) (fma.f64 #s(literal 2 binary64) (cosh.f64 im) (*.f64 #s(literal -2 binary64) (sinh.f64 im)))) #s(literal 2 binary64))
(/.f64 (+.f64 (fma.f64 (neg.f64 (cosh.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 im))) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal -2 binary64) (sinh.f64 im) (-.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal 2 binary64))
(/.f64 (+.f64 (fma.f64 (sinh.f64 (neg.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) (fma.f64 (neg.f64 (cosh.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 im)))) #s(literal 2 binary64))
(/.f64 (+.f64 (fma.f64 (cosh.f64 im) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 im))) (fma.f64 (neg.f64 (cosh.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 im)))) #s(literal 2 binary64))
(/.f64 (+.f64 (-.f64 (*.f64 (cosh.f64 im) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) (fma.f64 (neg.f64 (cosh.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 im)))) #s(literal 2 binary64))
(/.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (sinh.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) (fma.f64 (neg.f64 (cosh.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 im)))) #s(literal 2 binary64))
(/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 im) (*.f64 #s(literal -2 binary64) (sinh.f64 im))) (fma.f64 (neg.f64 (cosh.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 im)))) #s(literal 2 binary64))
(/.f64 (+.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) (fma.f64 (neg.f64 (cosh.f64 im)) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 im)))) #s(literal 2 binary64))
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(neg.f64 (neg.f64 (exp.f64 im)))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64) (sinh.f64 im))
(fma.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 im) #s(literal 2 binary64)) (cosh.f64 im))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 1/2 binary64) (cosh.f64 im))
(sqrt.f64 (exp.f64 (+.f64 im im)))
(-.f64 (sinh.f64 im) (neg.f64 (cosh.f64 im)))
(-.f64 (cosh.f64 im) (sinh.f64 (neg.f64 im)))
(fabs.f64 (/.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 im))))
(fabs.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (neg.f64 im)))))
(fabs.f64 (neg.f64 (exp.f64 im)))
(fabs.f64 (exp.f64 im))
(exp.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (neg.f64 im))))
(exp.f64 (neg.f64 (-.f64 #s(literal 0 binary64) im)))
(exp.f64 (neg.f64 (*.f64 im #s(literal -1 binary64))))
(exp.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (neg.f64 im))))
(exp.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) im)))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 im #s(literal -1 binary64))))
(exp.f64 (-.f64 #s(literal 0 binary64) (neg.f64 im)))
(exp.f64 (/.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (+.f64 im im) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (/.f64 (+.f64 im im) #s(literal 2 binary64)))
(exp.f64 im)
(+.f64 (neg.f64 (neg.f64 (cosh.f64 im))) (sinh.f64 im))
(+.f64 (sinh.f64 im) (cosh.f64 im))
(+.f64 (cosh.f64 im) (sinh.f64 im))

eval65.0ms (1%)

Memory
7.2MiB live, 96.2MiB allocated; 13ms collecting garbage
Compiler

Compiled 6 664 to 2 197 computations (67% saved)

prune10.0ms (0.2%)

Memory
24.9MiB live, 24.9MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New5903593
Fresh000
Picked101
Done000
Total5913594
Accuracy
99.9%
Counts
594 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
99.9%
(*.f64 (sinh.f64 (neg.f64 im)) (sin.f64 re))
51.3%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re))))
Compiler

Compiled 32 to 32 computations (0% saved)

series95.0ms (1.5%)

Memory
-13.9MiB live, 37.3MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02881152
Stop Event
iter-limit
Counts
17 → 58
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re))))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
#s(literal -1 binary64)
(*.f64 im (sin.f64 re))
im
(sin.f64 re)
re
(*.f64 (sinh.f64 (neg.f64 im)) (sin.f64 re))
(sinh.f64 (neg.f64 im))
(neg.f64 im)
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re))
#s(literal 1/2 binary64)
#s(approx (sin re) re)
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(exp.f64 im)
Outputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (*.f64 re (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 re (fma.f64 #s(literal -1/12 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/240 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(literal 1/240 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))))))
#s(approx (* -1 (* im (sin re))) (*.f64 #s(literal -1 binary64) (*.f64 im re)))
#s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) im))))))
#s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) im (*.f64 #s(literal 1/5040 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))))))
#s(approx (* im (sin re)) (*.f64 im re))
#s(approx (* im (sin re)) (*.f64 re (+.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (* im (sin re)) (*.f64 re (+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) im (*.f64 #s(literal 1/120 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (* im (sin re)) (*.f64 re (+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/120 binary64) im))))))))
#s(approx (sin re) re)
#s(approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (* (sinh (neg im)) (sin re)) (*.f64 #s(literal 1/2 binary64) (*.f64 re (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))))))
#s(approx (* (sinh (neg im)) (sin re)) (*.f64 re (fma.f64 #s(literal -1/12 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))))))))
#s(approx (* (sinh (neg im)) (sin re)) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))) (*.f64 #s(literal 1/240 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))))))))))
#s(approx (* (sinh (neg im)) (sin re)) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/240 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))))))))))))
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
#s(approx (* 1/2 (sin re)) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (* 1/2 (sin re)) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/240 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/12 binary64))))))
#s(approx (* 1/2 (sin re)) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (*.f64 #s(literal -1/10080 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/12 binary64))))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
#s(approx (* -1 (* im (sin re))) (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re))))
#s(approx (* im (sin re)) (*.f64 im (sin.f64 re)))
#s(approx (sin re) (sin.f64 re))
#s(approx (* (sinh (neg im)) (sin re)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))))))
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 im (fma.f64 #s(literal -1 binary64) (sin.f64 re) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 im (fma.f64 #s(literal -1 binary64) (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 re) (*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 im (fma.f64 #s(literal -1 binary64) (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) (sin.f64 re) (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))))))))
#s(approx im im)
#s(approx (sinh (neg im)) (*.f64 #s(literal -1 binary64) im))
#s(approx (sinh (neg im)) (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (sinh (neg im)) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (sinh (neg im)) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 #s(literal -2 binary64) im))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
#s(approx (exp (neg im)) #s(literal 1 binary64))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im)))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)))))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) im))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))))
#s(approx (sinh (neg im)) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))))))
#s(approx (- (exp (neg im)) (exp im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (exp (neg im)) (exp.f64 (neg.f64 im)))
#s(approx (exp im) (exp.f64 im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))))
#s(approx (* (sinh (neg im)) (sin re)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))))
#s(approx (sinh (neg im)) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) im))))))
#s(approx (- (exp (neg im)) (exp im)) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))
#s(approx (exp (neg im)) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
Calls

6 calls:

TimeVariablePointExpression
75.0ms
im
@inf
((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* -1 (* im (sin re))) -1 (* im (sin re)) im (sin re) re (* (sinh (neg im)) (sin re)) (sinh (neg im)) (neg im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) 1/2 (sin re) (- (exp (neg im)) (exp im)) (exp (neg im)) (exp im))
2.0ms
re
@0
((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* -1 (* im (sin re))) -1 (* im (sin re)) im (sin re) re (* (sinh (neg im)) (sin re)) (sinh (neg im)) (neg im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) 1/2 (sin re) (- (exp (neg im)) (exp im)) (exp (neg im)) (exp im))
2.0ms
im
@-inf
((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* -1 (* im (sin re))) -1 (* im (sin re)) im (sin re) re (* (sinh (neg im)) (sin re)) (sinh (neg im)) (neg im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) 1/2 (sin re) (- (exp (neg im)) (exp im)) (exp (neg im)) (exp im))
2.0ms
re
@inf
((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* -1 (* im (sin re))) -1 (* im (sin re)) im (sin re) re (* (sinh (neg im)) (sin re)) (sinh (neg im)) (neg im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) 1/2 (sin re) (- (exp (neg im)) (exp im)) (exp (neg im)) (exp im))
2.0ms
re
@-inf
((* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* -1 (* im (sin re))) -1 (* im (sin re)) im (sin re) re (* (sinh (neg im)) (sin re)) (sinh (neg im)) (neg im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) 1/2 (sin re) (- (exp (neg im)) (exp im)) (exp (neg im)) (exp im))

rewrite263.0ms (4%)

Memory
8.7MiB live, 472.6MiB allocated; 64ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02479
03577
18566
231365
3194765
0833565
12167265
Stop Event
saturated
node-limit
iter-limit
Counts
17 → 1 065
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re))))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
#s(literal -1 binary64)
(*.f64 im (sin.f64 re))
im
(sin.f64 re)
re
(*.f64 (sinh.f64 (neg.f64 im)) (sin.f64 re))
(sinh.f64 (neg.f64 im))
(neg.f64 im)
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re))
#s(literal 1/2 binary64)
#s(approx (sin re) re)
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(exp.f64 im)
Outputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re)))
(*.f64 (neg.f64 (sin.f64 re)) im)
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 (*.f64 (sin.f64 re) im) #s(literal -1 binary64))
(*.f64 (sin.f64 re) (neg.f64 im))
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 re) im))
(*.f64 im (neg.f64 (sin.f64 re)))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 re) im)))
(neg.f64 (*.f64 (neg.f64 im) (neg.f64 (sin.f64 re))))
(neg.f64 (*.f64 (neg.f64 (sin.f64 re)) (neg.f64 im)))
(neg.f64 (*.f64 (*.f64 (sin.f64 re) im) #s(literal 1 binary64)))
(neg.f64 (*.f64 (sin.f64 re) im))
#s(literal -1 binary64)
(*.f64 (sin.f64 re) im)
(*.f64 im (sin.f64 re))
(neg.f64 (*.f64 (neg.f64 im) (sin.f64 re)))
im
(sin.f64 re)
re
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (sin.f64 re)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 (*.f64 (sin.f64 re) #s(literal 2 binary64)) #s(literal -2 binary64)) (/.f64 (sinh.f64 im) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (sin.f64 re) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (sinh.f64 im) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (sin.f64 re) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))
(*.f64 (/.f64 (*.f64 (sin.f64 re) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (sinh.f64 im) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 (sin.f64 re) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (sinh.f64 im) #s(literal -1 binary64)))
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(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (sinh.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) (exp.f64 (neg.f64 im))))
(fma.f64 (*.f64 (sinh.f64 im) #s(literal -1/2 binary64)) #s(literal -2 binary64) (cosh.f64 im))
(fma.f64 (*.f64 (sinh.f64 im) #s(literal 1/2 binary64)) #s(literal 2 binary64) (cosh.f64 im))
(fma.f64 (*.f64 (cosh.f64 im) #s(literal 1/2 binary64)) #s(literal 2 binary64) (sinh.f64 im))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (neg.f64 (exp.f64 (neg.f64 im)))) (/.f64 #s(literal 0 binary64) (exp.f64 (neg.f64 im))))
(fma.f64 (expm1.f64 (+.f64 im im)) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) (cosh.f64 im))
(fma.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 im) #s(literal -1/2 binary64)) (cosh.f64 im))
(fma.f64 #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 im)) (/.f64 #s(literal 0 binary64) (exp.f64 (neg.f64 im))))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 1/2 binary64) (sinh.f64 im))
(fma.f64 (neg.f64 (exp.f64 im)) #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) (exp.f64 (neg.f64 im))))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 1/2 binary64) (cosh.f64 im))
(fma.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (neg.f64 im)) #s(literal -1 binary64)) (cosh.f64 im))
(fma.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 im) #s(literal 1 binary64)) (sinh.f64 im))
(fma.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 im) #s(literal 1 binary64)) (cosh.f64 im))
(fma.f64 #s(literal 1 binary64) (exp.f64 im) (/.f64 #s(literal 0 binary64) (exp.f64 (neg.f64 im))))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 im) #s(literal 1/2 binary64)) (cosh.f64 im))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 im) #s(literal 1/2 binary64)) (sinh.f64 im))
(fma.f64 #s(literal 2 binary64) (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (/.f64 #s(literal 0 binary64) (exp.f64 (neg.f64 im))))
(fma.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal -1/2 binary64) (cosh.f64 im))
(fma.f64 (exp.f64 im) (/.f64 (neg.f64 (exp.f64 im)) (neg.f64 (exp.f64 im))) (/.f64 #s(literal 0 binary64) (exp.f64 (neg.f64 im))))
(fma.f64 (exp.f64 im) (/.f64 (exp.f64 im) (exp.f64 im)) (/.f64 #s(literal 0 binary64) (exp.f64 (neg.f64 im))))
(fma.f64 (exp.f64 im) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (exp.f64 (neg.f64 im))))
(fma.f64 #s(literal -1 binary64) (/.f64 (sinh.f64 im) #s(literal -1 binary64)) (cosh.f64 im))
(fma.f64 #s(literal -1 binary64) (/.f64 (sinh.f64 (neg.f64 im)) #s(literal 1 binary64)) (cosh.f64 im))
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (exp.f64 im)) #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) (exp.f64 (neg.f64 im))))
(fma.f64 #s(literal -1 binary64) (/.f64 (exp.f64 im) #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) (exp.f64 (neg.f64 im))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 im)) (/.f64 #s(literal 0 binary64) (exp.f64 (neg.f64 im))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 im))) (/.f64 #s(literal 0 binary64) (exp.f64 (neg.f64 im))))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (+.f64 im im) #s(literal 2 binary64))) (exp.f64 (+.f64 im im))))
(sqrt.f64 (/.f64 (exp.f64 (+.f64 im im)) #s(literal 1 binary64)))
(sqrt.f64 (exp.f64 (+.f64 im im)))
(-.f64 (/.f64 (+.f64 (neg.f64 (cosh.f64 im)) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (neg.f64 (cosh.f64 im)) #s(literal -1 binary64)) (/.f64 (sinh.f64 im) #s(literal -1 binary64)))
(-.f64 (/.f64 (sinh.f64 (neg.f64 im)) #s(literal -1 binary64)) (/.f64 (cosh.f64 im) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 (cosh.f64 im) #s(literal -2 binary64)) #s(literal -2 binary64)) (sinh.f64 (neg.f64 im)))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -2 binary64)) #s(literal -4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal -4 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 im))) #s(literal 4 binary64)))
(-.f64 (/.f64 (cosh.f64 im) #s(literal 1 binary64)) (/.f64 (sinh.f64 (neg.f64 im)) #s(literal 1 binary64)))
(-.f64 (/.f64 (sinh.f64 im) #s(literal 1 binary64)) (/.f64 (neg.f64 (cosh.f64 im)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (sinh.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) (sinh.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))))
(-.f64 (cosh.f64 im) (sinh.f64 (neg.f64 im)))
(-.f64 (sinh.f64 im) (neg.f64 (cosh.f64 im)))
(fabs.f64 (-.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) (+.f64 (neg.f64 (cosh.f64 im)) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)))))
(fabs.f64 (/.f64 (*.f64 (neg.f64 (exp.f64 im)) (exp.f64 im)) (neg.f64 (exp.f64 im))))
(fabs.f64 (/.f64 (*.f64 (neg.f64 (exp.f64 im)) (exp.f64 im)) (exp.f64 im)))
(fabs.f64 (/.f64 (*.f64 (exp.f64 im) (neg.f64 (exp.f64 im))) (neg.f64 (exp.f64 im))))
(fabs.f64 (/.f64 (*.f64 (exp.f64 im) (neg.f64 (exp.f64 im))) (exp.f64 im)))
(fabs.f64 (/.f64 (exp.f64 (+.f64 im im)) (neg.f64 (exp.f64 im))))
(fabs.f64 (/.f64 (neg.f64 (exp.f64 im)) #s(literal 1 binary64)))
(fabs.f64 (/.f64 (exp.f64 im) #s(literal -1 binary64)))
(fabs.f64 (neg.f64 (exp.f64 im)))
(fabs.f64 (exp.f64 im))
(exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) (neg.f64 im)) #s(literal 0 binary64)))
(exp.f64 (+.f64 im #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 im))))
(exp.f64 (+.f64 #s(literal 0 binary64) im))
(exp.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (neg.f64 im))))
(exp.f64 (neg.f64 (-.f64 #s(literal 0 binary64) im)))
(exp.f64 (-.f64 (+.f64 im im) (-.f64 #s(literal 0 binary64) (neg.f64 im))))
(exp.f64 (-.f64 (+.f64 im im) im))
(exp.f64 (-.f64 (*.f64 im #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (neg.f64 im))))
(exp.f64 (-.f64 (*.f64 im #s(literal 2 binary64)) im))
(exp.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (neg.f64 im))))
(exp.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) im)))
(exp.f64 (-.f64 (-.f64 #s(literal 0 binary64) (neg.f64 im)) #s(literal 0 binary64)))
(exp.f64 (-.f64 im #s(literal 0 binary64)))
(exp.f64 (/.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (+.f64 im im) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (neg.f64 im)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (+.f64 #s(literal 0 binary64) (neg.f64 im)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) im) #s(literal -1 binary64)))
(exp.f64 (/.f64 (+.f64 im im) #s(literal 2 binary64)))
(exp.f64 (-.f64 #s(literal 0 binary64) (neg.f64 im)))
(exp.f64 im)
(+.f64 (/.f64 (*.f64 (exp.f64 im) (cosh.f64 im)) (exp.f64 im)) (/.f64 (*.f64 (exp.f64 im) (sinh.f64 im)) (exp.f64 im)))
(+.f64 (/.f64 (*.f64 (exp.f64 im) (sinh.f64 im)) (exp.f64 im)) (/.f64 (*.f64 (exp.f64 im) (cosh.f64 im)) (exp.f64 im)))
(+.f64 (/.f64 (*.f64 (cosh.f64 im) (exp.f64 im)) (exp.f64 im)) (/.f64 (*.f64 (sinh.f64 im) (exp.f64 im)) (exp.f64 im)))
(+.f64 (/.f64 (*.f64 (sinh.f64 im) (exp.f64 im)) (exp.f64 im)) (/.f64 (*.f64 (cosh.f64 im) (exp.f64 im)) (exp.f64 im)))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 4 binary64)))
(+.f64 (/.f64 (neg.f64 (cosh.f64 im)) #s(literal -1 binary64)) (/.f64 (sinh.f64 (neg.f64 im)) #s(literal -1 binary64)))
(+.f64 (/.f64 (sinh.f64 (neg.f64 im)) #s(literal -1 binary64)) (/.f64 (neg.f64 (cosh.f64 im)) #s(literal -1 binary64)))
(+.f64 (/.f64 (-.f64 (cosh.f64 im) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (/.f64 (neg.f64 (neg.f64 (cosh.f64 im))) #s(literal 1 binary64)) (/.f64 (sinh.f64 im) #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal 4 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(+.f64 (/.f64 (cosh.f64 im) #s(literal 1 binary64)) (/.f64 (sinh.f64 im) #s(literal 1 binary64)))
(+.f64 (/.f64 (sinh.f64 im) #s(literal 1 binary64)) (/.f64 (cosh.f64 im) #s(literal 1 binary64)))
(+.f64 (cosh.f64 (-.f64 #s(literal 0 binary64) (neg.f64 im))) (sinh.f64 (-.f64 #s(literal 0 binary64) (neg.f64 im))))
(+.f64 (-.f64 (cosh.f64 im) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64))) (*.f64 (exp.f64 im) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (sinh.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (sinh.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))))
(+.f64 (neg.f64 (neg.f64 (cosh.f64 im))) (sinh.f64 im))
(+.f64 (cosh.f64 im) (sinh.f64 im))
(+.f64 (sinh.f64 im) (cosh.f64 im))
(+.f64 (exp.f64 im) (/.f64 #s(literal 0 binary64) (exp.f64 (neg.f64 im))))

eval162.0ms (2.5%)

Memory
27.7MiB live, 351.5MiB allocated; 122ms collecting garbage
Compiler

Compiled 9 857 to 3 320 computations (66.3% saved)

prune25.0ms (0.4%)

Memory
8.4MiB live, 54.6MiB allocated; 4ms collecting garbage
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1 10791 116
Fresh000
Picked213
Done000
Total1 109101 119
Accuracy
99.9%
Counts
1 119 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
20.9%
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
51.1%
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
99.9%
(*.f64 (sinh.f64 (neg.f64 im)) (sin.f64 re))
70.7%
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))))
66.5%
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (sin re) re))
51.3%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (sin.f64 re) (neg.f64 im)))
39.5%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im #s(approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))))
42.3%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im #s(approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))))))
35.6%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) #s(approx (* im (sin re)) (*.f64 im re))))
42.3%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))))
Compiler

Compiled 312 to 302 computations (3.2% saved)

series34.0ms (0.5%)

Memory
0.6MiB live, 46.8MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03351497
Stop Event
iter-limit
Counts
35 → 76
Calls
Call 1
Inputs
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))))
(sinh.f64 (neg.f64 im))
(neg.f64 im)
im
#s(approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))
re
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64))))
#s(literal 1 binary64)
(*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))
#s(literal -1/6 binary64)
(pow.f64 re #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) #s(approx (* im (sin re)) (*.f64 im re))))
(*.f64 #s(literal -1 binary64) #s(approx (* im (sin re)) (*.f64 im re)))
#s(literal -1 binary64)
#s(approx (* im (sin re)) (*.f64 im re))
(*.f64 im re)
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re))
#s(literal 1/2 binary64)
#s(approx (sin re) re)
(-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))
#s(approx (exp (neg im)) #s(literal 1 binary64))
(exp.f64 im)
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))
(*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))
(fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))
#s(literal 1/6 binary64)
(*.f64 im (pow.f64 re #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (sin.f64 re) (neg.f64 im)))
(*.f64 (sin.f64 re) (neg.f64 im))
(sin.f64 re)
Outputs
#s(approx (* (sinh (neg im)) (sin re)) (*.f64 #s(literal 1/2 binary64) (*.f64 re (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))))))
#s(approx (* (sinh (neg im)) (sin re)) (*.f64 re (fma.f64 #s(literal -1/12 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))))))))
#s(approx (* (sinh (neg im)) (sin re)) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))) (*.f64 #s(literal 1/240 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))))))))))
#s(approx (* (sinh (neg im)) (sin re)) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/240 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))))))))))))
#s(approx (sin re) re)
#s(approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (+ 1 (* -1/6 (pow re 2))) #s(literal 1 binary64))
#s(approx (+ 1 (* -1/6 (pow re 2))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))
#s(approx (* -1/6 (pow re 2)) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64))))
#s(approx (pow re 2) (pow.f64 re #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (*.f64 re (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 re (fma.f64 #s(literal -1/12 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/240 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(literal 1/240 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))))))
#s(approx (* -1 (* im (sin re))) (*.f64 #s(literal -1 binary64) (*.f64 im re)))
#s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) im))))))
#s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) im (*.f64 #s(literal 1/5040 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))))))
#s(approx (* im (sin re)) (*.f64 im re))
#s(approx (* im (sin re)) (*.f64 re (+.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (* im (sin re)) (*.f64 re (+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) im (*.f64 #s(literal 1/120 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (* im (sin re)) (*.f64 re (+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/120 binary64) im))))))))
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
#s(approx (* 1/2 (sin re)) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (* 1/2 (sin re)) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/240 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/12 binary64))))))
#s(approx (* 1/2 (sin re)) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (*.f64 #s(literal -1/10080 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/12 binary64))))))
#s(approx (+ (* -1 im) (* 1/6 (* im (pow re 2)))) (*.f64 #s(literal -1 binary64) im))
#s(approx (+ (* -1 im) (* 1/6 (* im (pow re 2)))) (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))
#s(approx (* 1/6 (* im (pow re 2))) (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))
#s(approx (* im (pow re 2)) (*.f64 im (pow.f64 re #s(literal 2 binary64))))
#s(approx (* (sinh (neg im)) (sin re)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))))))
#s(approx (sin re) (sin.f64 re))
#s(approx (* re (+ 1 (* -1/6 (pow re 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 3 binary64))))
#s(approx (* re (+ 1 (* -1/6 (pow re 2)))) (*.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/6 binary64))))
#s(approx (+ 1 (* -1/6 (pow re 2))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/6 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
#s(approx (* -1 (* im (sin re))) (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re))))
#s(approx (* im (sin re)) (*.f64 im (sin.f64 re)))
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
#s(approx (* re (+ (* -1 im) (* 1/6 (* im (pow re 2))))) (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64)))))
#s(approx (* re (+ (* -1 im) (* 1/6 (* im (pow re 2))))) (*.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 im (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) im))))
#s(approx (+ (* -1 im) (* 1/6 (* im (pow re 2)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 im (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) im))))
#s(approx (* re (+ 1 (* -1/6 (pow re 2)))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (* re (+ (* -1 im) (* 1/6 (* im (pow re 2))))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) im (/.f64 im (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (* (sinh (neg im)) (sin re)) (*.f64 im (fma.f64 #s(literal -1 binary64) (sin.f64 re) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))))
#s(approx (* (sinh (neg im)) (sin re)) (*.f64 im (fma.f64 #s(literal -1 binary64) (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 re) (*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))))))
#s(approx (* (sinh (neg im)) (sin re)) (*.f64 im (fma.f64 #s(literal -1 binary64) (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) (sin.f64 re) (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))))))))
#s(approx (sinh (neg im)) (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (sinh (neg im)) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (sinh (neg im)) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx im im)
#s(approx (- (exp (neg im)) (exp im)) (*.f64 #s(literal -2 binary64) im))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im)))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)))))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) im))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))))
#s(approx (* re (+ (* -1 im) (* 1/6 (* im (pow re 2))))) (*.f64 im (*.f64 re (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)))))
#s(approx (+ (* -1 im) (* 1/6 (* im (pow re 2)))) (*.f64 im (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (sinh (neg im)) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))))))
#s(approx (- (exp (neg im)) (exp im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (exp (neg im)) (exp.f64 (neg.f64 im)))
#s(approx (exp im) (exp.f64 im))
#s(approx (* (sinh (neg im)) (sin re)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))))
#s(approx (sinh (neg im)) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) im))))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))))
#s(approx (- (exp (neg im)) (exp im)) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))
#s(approx (exp (neg im)) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
#s(approx (* re (+ (* -1 im) (* 1/6 (* im (pow re 2))))) (*.f64 #s(literal -1 binary64) (*.f64 im (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (+ (* -1 im) (* 1/6 (* im (pow re 2)))) (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))))
Calls

6 calls:

TimeVariablePointExpression
6.0ms
re
@0
((* (sinh (neg im)) (sin re)) (sinh (neg im)) (neg im) im (sin re) (* re (+ 1 (* -1/6 (pow re 2)))) re (+ 1 (* -1/6 (pow re 2))) 1 (* -1/6 (pow re 2)) -1/6 (pow re 2) 2 (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* -1 (* im (sin re))) -1 (* im (sin re)) (* im re) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) 1/2 (sin re) (- (exp (neg im)) (exp im)) (exp (neg im)) (exp im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* -1 (* im (sin re))) (* re (+ (* -1 im) (* 1/6 (* im (pow re 2))))) (+ (* -1 im) (* 1/6 (* im (pow re 2)))) (* 1/6 (* im (pow re 2))) 1/6 (* im (pow re 2)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (sin re) (neg im)) (sin re))
4.0ms
re
@inf
((* (sinh (neg im)) (sin re)) (sinh (neg im)) (neg im) im (sin re) (* re (+ 1 (* -1/6 (pow re 2)))) re (+ 1 (* -1/6 (pow re 2))) 1 (* -1/6 (pow re 2)) -1/6 (pow re 2) 2 (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* -1 (* im (sin re))) -1 (* im (sin re)) (* im re) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) 1/2 (sin re) (- (exp (neg im)) (exp im)) (exp (neg im)) (exp im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* -1 (* im (sin re))) (* re (+ (* -1 im) (* 1/6 (* im (pow re 2))))) (+ (* -1 im) (* 1/6 (* im (pow re 2)))) (* 1/6 (* im (pow re 2))) 1/6 (* im (pow re 2)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (sin re) (neg im)) (sin re))
4.0ms
re
@-inf
((* (sinh (neg im)) (sin re)) (sinh (neg im)) (neg im) im (sin re) (* re (+ 1 (* -1/6 (pow re 2)))) re (+ 1 (* -1/6 (pow re 2))) 1 (* -1/6 (pow re 2)) -1/6 (pow re 2) 2 (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* -1 (* im (sin re))) -1 (* im (sin re)) (* im re) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) 1/2 (sin re) (- (exp (neg im)) (exp im)) (exp (neg im)) (exp im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* -1 (* im (sin re))) (* re (+ (* -1 im) (* 1/6 (* im (pow re 2))))) (+ (* -1 im) (* 1/6 (* im (pow re 2)))) (* 1/6 (* im (pow re 2))) 1/6 (* im (pow re 2)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (sin re) (neg im)) (sin re))
3.0ms
im
@-inf
((* (sinh (neg im)) (sin re)) (sinh (neg im)) (neg im) im (sin re) (* re (+ 1 (* -1/6 (pow re 2)))) re (+ 1 (* -1/6 (pow re 2))) 1 (* -1/6 (pow re 2)) -1/6 (pow re 2) 2 (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* -1 (* im (sin re))) -1 (* im (sin re)) (* im re) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) 1/2 (sin re) (- (exp (neg im)) (exp im)) (exp (neg im)) (exp im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* -1 (* im (sin re))) (* re (+ (* -1 im) (* 1/6 (* im (pow re 2))))) (+ (* -1 im) (* 1/6 (* im (pow re 2)))) (* 1/6 (* im (pow re 2))) 1/6 (* im (pow re 2)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (sin re) (neg im)) (sin re))
3.0ms
im
@inf
((* (sinh (neg im)) (sin re)) (sinh (neg im)) (neg im) im (sin re) (* re (+ 1 (* -1/6 (pow re 2)))) re (+ 1 (* -1/6 (pow re 2))) 1 (* -1/6 (pow re 2)) -1/6 (pow re 2) 2 (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* -1 (* im (sin re))) -1 (* im (sin re)) (* im re) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) 1/2 (sin re) (- (exp (neg im)) (exp im)) (exp (neg im)) (exp im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* -1 (* im (sin re))) (* re (+ (* -1 im) (* 1/6 (* im (pow re 2))))) (+ (* -1 im) (* 1/6 (* im (pow re 2)))) (* 1/6 (* im (pow re 2))) 1/6 (* im (pow re 2)) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* (sin re) (neg im)) (sin re))

rewrite283.0ms (4.3%)

Memory
-6.0MiB live, 365.5MiB allocated; 50ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044256
065252
1213233
2774227
33335227
08709219
125928219
Stop Event
saturated
node-limit
iter-limit
Counts
35 → 1 009
Calls
Call 1
Inputs
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))))
(sinh.f64 (neg.f64 im))
(neg.f64 im)
im
#s(approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))
re
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64))))
#s(literal 1 binary64)
(*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))
#s(literal -1/6 binary64)
(pow.f64 re #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) #s(approx (* im (sin re)) (*.f64 im re))))
(*.f64 #s(literal -1 binary64) #s(approx (* im (sin re)) (*.f64 im re)))
#s(literal -1 binary64)
#s(approx (* im (sin re)) (*.f64 im re))
(*.f64 im re)
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re))
#s(literal 1/2 binary64)
#s(approx (sin re) re)
(-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im))
#s(approx (exp (neg im)) #s(literal 1 binary64))
(exp.f64 im)
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))
(*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))
(fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))
(*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))
#s(literal 1/6 binary64)
(*.f64 im (pow.f64 re #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (sin.f64 re) (neg.f64 im)))
(*.f64 (sin.f64 re) (neg.f64 im))
(sin.f64 re)
Outputs
(*.f64 (/.f64 #s(approx (sin re) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)) re)) #s(literal -2 binary64)) (*.f64 (sinh.f64 im) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 #s(approx (sin re) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)) re)) #s(literal 2 binary64)) #s(literal 2 binary64)) (sinh.f64 (neg.f64 im)))
(*.f64 (/.f64 (*.f64 #s(approx (sin re) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)) re)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (sinh.f64 im)))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(approx (sin re) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)) re))) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(approx (sin re) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)) re))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(approx (sin re) (*.f64 (fma.f64 (*.f64 re re) #s(literal -1/6 binary64) #s(literal 1 binary64)) re))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
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(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) im) (neg.f64 re)) (neg.f64 re) (neg.f64 im))
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) #s(literal -1 binary64)) (neg.f64 im) (neg.f64 im))
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) re) im) re (neg.f64 im))
(fma.f64 (*.f64 #s(literal 1/6 binary64) re) (*.f64 re im) (neg.f64 im))
(fma.f64 (*.f64 #s(literal -1/6 binary64) im) (*.f64 (neg.f64 re) re) (neg.f64 im))
(fma.f64 (*.f64 (*.f64 (neg.f64 re) re) im) #s(literal -1/6 binary64) (neg.f64 im))
(fma.f64 (*.f64 (neg.f64 re) re) (*.f64 #s(literal -1/6 binary64) im) (neg.f64 im))
(fma.f64 (fabs.f64 re) (*.f64 (fabs.f64 re) (*.f64 #s(literal 1/6 binary64) im)) (neg.f64 im))
(fma.f64 (neg.f64 re) (*.f64 (neg.f64 re) (*.f64 #s(literal 1/6 binary64) im)) (neg.f64 im))
(fma.f64 (*.f64 #s(literal 1/6 binary64) im) (*.f64 re re) (neg.f64 im))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) im (neg.f64 im))
(fma.f64 (*.f64 (*.f64 (*.f64 re im) re) #s(literal -1/6 binary64)) #s(literal -1 binary64) (neg.f64 im))
(fma.f64 (neg.f64 im) (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) (neg.f64 im))
(fma.f64 (neg.f64 im) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64)) #s(literal 1 binary64) (neg.f64 im))
(fma.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64) (neg.f64 im))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 re im) re) (neg.f64 im))
(fma.f64 (*.f64 re im) (*.f64 #s(literal 1/6 binary64) re) (neg.f64 im))
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 re im) re) #s(literal -1/6 binary64)) (neg.f64 im))
(fma.f64 #s(literal -1 binary64) im (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 (*.f64 re re) #s(literal -1/6 binary64)) (neg.f64 im) (neg.f64 im))
(fma.f64 (*.f64 re re) (*.f64 #s(literal 1/6 binary64) im) (neg.f64 im))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (neg.f64 re) re) im) (neg.f64 im))
(fma.f64 #s(literal 1 binary64) (neg.f64 im) (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64)) (neg.f64 im))
(fma.f64 re (*.f64 (*.f64 #s(literal 1/6 binary64) re) im) (neg.f64 im))
(fma.f64 im (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) (neg.f64 im))
(fma.f64 im (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) (neg.f64 im))
(fma.f64 im #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64)))
(-.f64 (neg.f64 im) (*.f64 (*.f64 (*.f64 re im) re) #s(literal -1/6 binary64)))
(-.f64 (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64)) im)
(+.f64 (neg.f64 im) (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64)) (neg.f64 im))
(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) im) (fabs.f64 re)) (fabs.f64 re))
(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) im) (neg.f64 re)) (neg.f64 re))
(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) #s(literal -1 binary64)) (neg.f64 im))
(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) re) im) re)
(*.f64 (*.f64 #s(literal 1/6 binary64) re) (*.f64 re im))
(*.f64 (*.f64 #s(literal -1/6 binary64) im) (*.f64 (neg.f64 re) re))
(*.f64 (*.f64 (*.f64 (neg.f64 re) re) im) #s(literal -1/6 binary64))
(*.f64 (*.f64 (neg.f64 re) re) (*.f64 #s(literal -1/6 binary64) im))
(*.f64 (fabs.f64 re) (*.f64 (fabs.f64 re) (*.f64 #s(literal 1/6 binary64) im)))
(*.f64 (neg.f64 re) (*.f64 (neg.f64 re) (*.f64 #s(literal 1/6 binary64) im)))
(*.f64 (*.f64 #s(literal 1/6 binary64) im) (*.f64 re re))
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re re)) im)
(*.f64 (*.f64 (*.f64 (*.f64 re im) re) #s(literal -1/6 binary64)) #s(literal -1 binary64))
(*.f64 (neg.f64 im) (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 re re))))
(*.f64 (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 re im) re))
(*.f64 (*.f64 re im) (*.f64 #s(literal 1/6 binary64) re))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 re im) re) #s(literal -1/6 binary64)))
(*.f64 (*.f64 (*.f64 re re) #s(literal -1/6 binary64)) (neg.f64 im))
(*.f64 (*.f64 re re) (*.f64 #s(literal 1/6 binary64) im))
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (neg.f64 re) re) im))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64)))
(*.f64 re (*.f64 (*.f64 #s(literal 1/6 binary64) re) im))
(*.f64 im (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 re re))))
(*.f64 im (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))
(neg.f64 (*.f64 (*.f64 (*.f64 re im) re) #s(literal -1/6 binary64)))
#s(literal 1/6 binary64)
(*.f64 (*.f64 (*.f64 re re) #s(literal -1 binary64)) (neg.f64 im))
(*.f64 (*.f64 im (fabs.f64 re)) (fabs.f64 re))
(*.f64 (*.f64 (*.f64 (neg.f64 re) re) im) #s(literal -1 binary64))
(*.f64 (fabs.f64 re) (*.f64 (fabs.f64 re) im))
(*.f64 (neg.f64 re) (*.f64 (neg.f64 im) re))
(*.f64 (*.f64 (neg.f64 im) re) (neg.f64 re))
(*.f64 (neg.f64 im) (*.f64 #s(literal -1 binary64) (*.f64 re re)))
(*.f64 (*.f64 (*.f64 re im) re) #s(literal 1 binary64))
(*.f64 (*.f64 re im) re)
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 re) re) im))
(*.f64 (*.f64 re re) im)
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 re im) re))
(*.f64 re (*.f64 re im))
(*.f64 im (*.f64 re re))
(neg.f64 (*.f64 (*.f64 (neg.f64 re) re) im))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (neg.f64 im) (sin.f64 re)))
(*.f64 (*.f64 (neg.f64 (sin.f64 re)) #s(literal -1 binary64)) (neg.f64 im))
(*.f64 (*.f64 (neg.f64 (sin.f64 re)) #s(literal 1 binary64)) im)
(*.f64 (neg.f64 (sin.f64 re)) im)
(*.f64 (neg.f64 im) (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 re))))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 (*.f64 (neg.f64 im) (sin.f64 re)) #s(literal 1 binary64))
(*.f64 (*.f64 (sin.f64 re) im) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 re) im))
(*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 im) (sin.f64 re)))
(*.f64 (sin.f64 re) (neg.f64 im))
(*.f64 im (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 re))))
(*.f64 im (neg.f64 (sin.f64 re)))
(neg.f64 (*.f64 (sin.f64 re) im))
(neg.f64 (neg.f64 (sin.f64 re)))
(sin.f64 re)
(fma.f64 (sin.f64 re) (cos.f64 (*.f64 re #s(literal 0 binary64))) (*.f64 (cos.f64 re) (sin.f64 (*.f64 re #s(literal 0 binary64)))))
(fma.f64 (sin.f64 re) (cos.f64 (*.f64 #s(literal 0 binary64) re)) (*.f64 (cos.f64 re) (sin.f64 (*.f64 #s(literal 0 binary64) re))))
(+.f64 (*.f64 (sin.f64 re) (cos.f64 (*.f64 re #s(literal 0 binary64)))) (*.f64 (cos.f64 re) (sin.f64 (*.f64 re #s(literal 0 binary64)))))
(+.f64 (*.f64 (sin.f64 re) (cos.f64 (*.f64 #s(literal 0 binary64) re))) (*.f64 (cos.f64 re) (sin.f64 (*.f64 #s(literal 0 binary64) re))))

eval142.0ms (2.2%)

Memory
7.4MiB live, 202.6MiB allocated; 72ms collecting garbage
Compiler

Compiled 9 429 to 3 685 computations (60.9% saved)

prune32.0ms (0.5%)

Memory
8.0MiB live, 58.9MiB allocated; 10ms collecting garbage
Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New1 083111 094
Fresh224
Picked415
Done011
Total1 089151 104
Accuracy
99.9%
Counts
1 104 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.1%
(*.f64 (*.f64 (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)) #s(approx (sin re) re)) #s(literal 1/2 binary64))
52.8%
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (-.f64 (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (cosh.f64 im)) (sinh.f64 im)))
36.8%
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))))
20.6%
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
99.9%
(*.f64 (sinh.f64 (neg.f64 im)) (sin.f64 re))
70.7%
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (sin re) (fma.f64 (*.f64 (*.f64 re re) re) #s(literal -1/6 binary64) re)))
66.5%
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (sin re) re))
51.3%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (sin.f64 re) (neg.f64 im)))
39.5%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im #s(approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))))
35.6%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (neg.f64 #s(approx (* im (sin re)) (*.f64 re im))))
42.3%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))) re)))
42.3%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) re) im) re (neg.f64 im)))))
42.3%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 (*.f64 re re) (*.f64 #s(literal 1/6 binary64) im) (neg.f64 im)))))
42.3%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 (*.f64 re im) (*.f64 #s(literal 1/6 binary64) re) (neg.f64 im)))))
42.3%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (-.f64 (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64)) im))))
Compiler

Compiled 484 to 468 computations (3.3% saved)

series36.0ms (0.5%)

Memory
-31.6MiB live, 60.9MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03781639
Stop Event
iter-limit
Counts
39 → 86
Calls
Call 1
Inputs
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (sin re) (fma.f64 (*.f64 (*.f64 re re) re) #s(literal -1/6 binary64) re)))
(sinh.f64 (neg.f64 im))
(neg.f64 im)
im
#s(approx (sin re) (fma.f64 (*.f64 (*.f64 re re) re) #s(literal -1/6 binary64) re))
(fma.f64 (*.f64 (*.f64 re re) re) #s(literal -1/6 binary64) re)
(*.f64 (*.f64 re re) re)
(*.f64 re re)
re
#s(literal -1/6 binary64)
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (neg.f64 #s(approx (* im (sin re)) (*.f64 re im))))
(neg.f64 #s(approx (* im (sin re)) (*.f64 re im)))
#s(approx (* im (sin re)) (*.f64 re im))
(*.f64 re im)
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (-.f64 (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64)) im))))
#s(approx (* -1 (* im (sin re))) (*.f64 re (-.f64 (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64)) im)))
(*.f64 re (-.f64 (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64)) im))
(-.f64 (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64)) im)
(*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64))
(*.f64 (*.f64 re im) re)
#s(literal 1/6 binary64)
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) re) im) re (neg.f64 im)))))
#s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) re) im) re (neg.f64 im))))
(*.f64 re (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) re) im) re (neg.f64 im)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) re) im) re (neg.f64 im))
(*.f64 (*.f64 #s(literal 1/6 binary64) re) im)
(*.f64 #s(literal 1/6 binary64) re)
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))))
(*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re))
#s(literal 1/2 binary64)
#s(approx (sin re) re)
(-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))))
#s(approx (exp (neg im)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
(+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))
(*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))
(*.f64 #s(literal 1/2 binary64) im)
Outputs
#s(approx (* (sinh (neg im)) (sin re)) (*.f64 #s(literal 1/2 binary64) (*.f64 re (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))))))
#s(approx (* (sinh (neg im)) (sin re)) (*.f64 re (fma.f64 #s(literal -1/12 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))))))))
#s(approx (* (sinh (neg im)) (sin re)) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))) (*.f64 #s(literal 1/240 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))))))))))
#s(approx (* (sinh (neg im)) (sin re)) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/240 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))))))))))))
#s(approx (sin re) re)
#s(approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (* (* re re) re) (pow.f64 re #s(literal 3 binary64)))
#s(approx (* re re) (pow.f64 re #s(literal 2 binary64)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (*.f64 re (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 re (fma.f64 #s(literal -1/12 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/240 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 re (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(literal 1/240 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))))))
#s(approx (neg (* im (sin re))) (*.f64 #s(literal -1 binary64) (*.f64 im re)))
#s(approx (neg (* im (sin re))) (*.f64 re (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))) im)))
#s(approx (neg (* im (sin re))) (*.f64 re (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) im))) im)))
#s(approx (neg (* im (sin re))) (*.f64 re (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/120 binary64) im))) (*.f64 #s(literal -1/6 binary64) im))) im)))
#s(approx (* im (sin re)) (*.f64 im re))
#s(approx (* im (sin re)) (*.f64 re (+.f64 im (*.f64 #s(literal -1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (* im (sin re)) (*.f64 re (+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) im (*.f64 #s(literal 1/120 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (* im (sin re)) (*.f64 re (+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/120 binary64) im))))))))
#s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) im))))))
#s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) im (*.f64 #s(literal 1/5040 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))))))
#s(approx (- (* (* (* re im) re) 1/6) im) (*.f64 #s(literal -1 binary64) im))
#s(approx (- (* (* (* re im) re) 1/6) im) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))) im))
#s(approx (* (* (* re im) re) 1/6) (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))
#s(approx (* (* re im) re) (*.f64 im (pow.f64 re #s(literal 2 binary64))))
#s(approx (* (* 1/6 re) im) (*.f64 #s(literal 1/6 binary64) (*.f64 im re)))
#s(approx (* 1/6 re) (*.f64 #s(literal 1/6 binary64) re))
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) re))
#s(approx (* 1/2 (sin re)) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (* 1/2 (sin re)) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/240 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/12 binary64))))))
#s(approx (* 1/2 (sin re)) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (*.f64 #s(literal -1/10080 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/12 binary64))))))
#s(approx (* (sinh (neg im)) (sin re)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im)))))))
#s(approx (sin re) (sin.f64 re))
#s(approx (+ (* (* (* re re) re) -1/6) re) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 3 binary64))))
#s(approx (+ (* (* (* re re) re) -1/6) re) (*.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/6 binary64))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
#s(approx (neg (* im (sin re))) (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re))))
#s(approx (* im (sin re)) (*.f64 im (sin.f64 re)))
#s(approx (* re (- (* (* (* re im) re) 1/6) im)) (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 3 binary64)))))
#s(approx (* re (- (* (* (* re im) re) 1/6) im)) (*.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 im (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) im))))
#s(approx (- (* (* (* re im) re) 1/6) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 im (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) im))))
#s(approx (* 1/2 (sin re)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
#s(approx (+ (* (* (* re re) re) -1/6) re) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (* re (- (* (* (* re im) re) 1/6) im)) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) im (/.f64 im (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (* (sinh (neg im)) (sin re)) (*.f64 im (fma.f64 #s(literal -1 binary64) (sin.f64 re) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))))
#s(approx (* (sinh (neg im)) (sin re)) (*.f64 im (fma.f64 #s(literal -1 binary64) (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 re) (*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))))))
#s(approx (* (sinh (neg im)) (sin re)) (*.f64 im (fma.f64 #s(literal -1 binary64) (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) (sin.f64 re) (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re))))))))))
#s(approx (sinh (neg im)) (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (sinh (neg im)) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx (sinh (neg im)) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
#s(approx im im)
#s(approx (* re (- (* (* (* re im) re) 1/6) im)) (*.f64 im (*.f64 re (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)))))
#s(approx (- (* (* (* re im) re) 1/6) im) (*.f64 im (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 #s(literal -2 binary64) im))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
#s(approx (- (exp (neg im)) (exp im)) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
#s(approx (exp (neg im)) #s(literal 1 binary64))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im)))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)))))
#s(approx (exp (neg im)) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) im))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
#s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im)))))))
#s(approx (* im (+ 1 (* 1/2 im))) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))
#s(approx (+ 1 (* 1/2 im)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))
#s(approx (* 1/2 im) (*.f64 #s(literal 1/2 binary64) im))
#s(approx (sinh (neg im)) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 im))))))
#s(approx (- (exp (neg im)) (exp im)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (exp (neg im)) (exp.f64 (neg.f64 im)))
#s(approx (exp im) (exp.f64 im))
#s(approx (+ 1 (* im (+ 1 (* 1/2 im)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (+ 1 (* im (+ 1 (* 1/2 im)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
#s(approx (+ 1 (* im (+ 1 (* 1/2 im)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (+ 1 (* 1/2 im)) (*.f64 im (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
#s(approx (* (sinh (neg im)) (sin re)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))))
#s(approx (sinh (neg im)) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) im))))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))))
#s(approx (* re (- (* (* (* re im) re) 1/6) im)) (*.f64 #s(literal -1 binary64) (*.f64 im (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (- (* (* (* re im) re) 1/6) im) (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (- (exp (neg im)) (exp im)) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))
#s(approx (exp (neg im)) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
Calls

6 calls:

TimeVariablePointExpression
5.0ms
re
@inf
((* (sinh (neg im)) (sin re)) (sinh (neg im)) (neg im) im (sin re) (+ (* (* (* re re) re) -1/6) re) (* (* re re) re) (* re re) re -1/6 (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (neg (* im (sin re))) (* im (sin re)) (* re im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* -1 (* im (sin re))) (* re (- (* (* (* re im) re) 1/6) im)) (- (* (* (* re im) re) 1/6) im) (* (* (* re im) re) 1/6) (* (* re im) re) 1/6 (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* -1 (* im (sin re))) (* re (+ (* (* (* 1/6 re) im) re) (neg im))) (+ (* (* (* 1/6 re) im) re) (neg im)) (* (* 1/6 re) im) (* 1/6 re) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) 1/2 (sin re) (- (exp (neg im)) (exp im)) (exp (neg im)) 1 (exp im) (+ 1 (* im (+ 1 (* 1/2 im)))) (* im (+ 1 (* 1/2 im))) (+ 1 (* 1/2 im)) (* 1/2 im))
4.0ms
im
@-inf
((* (sinh (neg im)) (sin re)) (sinh (neg im)) (neg im) im (sin re) (+ (* (* (* re re) re) -1/6) re) (* (* re re) re) (* re re) re -1/6 (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (neg (* im (sin re))) (* im (sin re)) (* re im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* -1 (* im (sin re))) (* re (- (* (* (* re im) re) 1/6) im)) (- (* (* (* re im) re) 1/6) im) (* (* (* re im) re) 1/6) (* (* re im) re) 1/6 (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* -1 (* im (sin re))) (* re (+ (* (* (* 1/6 re) im) re) (neg im))) (+ (* (* (* 1/6 re) im) re) (neg im)) (* (* 1/6 re) im) (* 1/6 re) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) 1/2 (sin re) (- (exp (neg im)) (exp im)) (exp (neg im)) 1 (exp im) (+ 1 (* im (+ 1 (* 1/2 im)))) (* im (+ 1 (* 1/2 im))) (+ 1 (* 1/2 im)) (* 1/2 im))
4.0ms
re
@-inf
((* (sinh (neg im)) (sin re)) (sinh (neg im)) (neg im) im (sin re) (+ (* (* (* re re) re) -1/6) re) (* (* re re) re) (* re re) re -1/6 (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (neg (* im (sin re))) (* im (sin re)) (* re im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* -1 (* im (sin re))) (* re (- (* (* (* re im) re) 1/6) im)) (- (* (* (* re im) re) 1/6) im) (* (* (* re im) re) 1/6) (* (* re im) re) 1/6 (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* -1 (* im (sin re))) (* re (+ (* (* (* 1/6 re) im) re) (neg im))) (+ (* (* (* 1/6 re) im) re) (neg im)) (* (* 1/6 re) im) (* 1/6 re) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) 1/2 (sin re) (- (exp (neg im)) (exp im)) (exp (neg im)) 1 (exp im) (+ 1 (* im (+ 1 (* 1/2 im)))) (* im (+ 1 (* 1/2 im))) (+ 1 (* 1/2 im)) (* 1/2 im))
4.0ms
im
@inf
((* (sinh (neg im)) (sin re)) (sinh (neg im)) (neg im) im (sin re) (+ (* (* (* re re) re) -1/6) re) (* (* re re) re) (* re re) re -1/6 (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (neg (* im (sin re))) (* im (sin re)) (* re im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* -1 (* im (sin re))) (* re (- (* (* (* re im) re) 1/6) im)) (- (* (* (* re im) re) 1/6) im) (* (* (* re im) re) 1/6) (* (* re im) re) 1/6 (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* -1 (* im (sin re))) (* re (+ (* (* (* 1/6 re) im) re) (neg im))) (+ (* (* (* 1/6 re) im) re) (neg im)) (* (* 1/6 re) im) (* 1/6 re) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) 1/2 (sin re) (- (exp (neg im)) (exp im)) (exp (neg im)) 1 (exp im) (+ 1 (* im (+ 1 (* 1/2 im)))) (* im (+ 1 (* 1/2 im))) (+ 1 (* 1/2 im)) (* 1/2 im))
3.0ms
re
@0
((* (sinh (neg im)) (sin re)) (sinh (neg im)) (neg im) im (sin re) (+ (* (* (* re re) re) -1/6) re) (* (* re re) re) (* re re) re -1/6 (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (neg (* im (sin re))) (* im (sin re)) (* re im) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* -1 (* im (sin re))) (* re (- (* (* (* re im) re) 1/6) im)) (- (* (* (* re im) re) 1/6) im) (* (* (* re im) re) 1/6) (* (* re im) re) 1/6 (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* -1 (* im (sin re))) (* re (+ (* (* (* 1/6 re) im) re) (neg im))) (+ (* (* (* 1/6 re) im) re) (neg im)) (* (* 1/6 re) im) (* 1/6 re) (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (* 1/2 (sin re)) 1/2 (sin re) (- (exp (neg im)) (exp im)) (exp (neg im)) 1 (exp im) (+ 1 (* im (+ 1 (* 1/2 im)))) (* im (+ 1 (* 1/2 im))) (+ 1 (* 1/2 im)) (* 1/2 im))

rewrite985.0ms (15.1%)

Memory
-88.7MiB live, 300.1MiB allocated; 895ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049344
074332
1276317
21002317
33999317
08302299
124944299
Stop Event
saturated
node-limit
iter-limit
Counts
39 → 756
Calls
Call 1
Inputs
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (sin re) (fma.f64 (*.f64 (*.f64 re re) re) #s(literal -1/6 binary64) re)))
(sinh.f64 (neg.f64 im))
(neg.f64 im)
im
#s(approx (sin re) (fma.f64 (*.f64 (*.f64 re re) re) #s(literal -1/6 binary64) re))
(fma.f64 (*.f64 (*.f64 re re) re) #s(literal -1/6 binary64) re)
(*.f64 (*.f64 re re) re)
(*.f64 re re)
re
#s(literal -1/6 binary64)
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (neg.f64 #s(approx (* im (sin re)) (*.f64 re im))))
(neg.f64 #s(approx (* im (sin re)) (*.f64 re im)))
#s(approx (* im (sin re)) (*.f64 re im))
(*.f64 re im)
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (-.f64 (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64)) im))))
#s(approx (* -1 (* im (sin re))) (*.f64 re (-.f64 (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64)) im)))
(*.f64 re (-.f64 (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64)) im))
(-.f64 (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64)) im)
(*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64))
(*.f64 (*.f64 re im) re)
#s(literal 1/6 binary64)
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) re) im) re (neg.f64 im)))))
#s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) re) im) re (neg.f64 im))))
(*.f64 re (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) re) im) re (neg.f64 im)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) re) im) re (neg.f64 im))
(*.f64 (*.f64 #s(literal 1/6 binary64) re) im)
(*.f64 #s(literal 1/6 binary64) re)
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))))
(*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re))
#s(literal 1/2 binary64)
#s(approx (sin re) re)
(-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))))
#s(approx (exp (neg im)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
(+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))
(*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))
(*.f64 #s(literal 1/2 binary64) im)
Outputs
(*.f64 (/.f64 #s(approx (sin re) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 re re) re) re)) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 im)))
(*.f64 (/.f64 #s(approx (sin re) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 re re) re) re)) #s(literal -1 binary64)) (sinh.f64 im))
(*.f64 (/.f64 (*.f64 #s(approx (sin re) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 re re) re) re)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (sinh.f64 (neg.f64 im)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 #s(approx (sin re) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 re re) re) re)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (sinh.f64 im) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(approx (sin re) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 re re) re) re)) #s(literal 1 binary64)) (sinh.f64 (neg.f64 im)))
(*.f64 (/.f64 #s(approx (sin re) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 re re) re) re)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (sinh.f64 im)))
(*.f64 (neg.f64 #s(approx (sin re) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 re re) re) re))) (sinh.f64 im))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(approx (sin re) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 re re) re) re))) #s(literal 1/2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(approx (sin re) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 re re) re) re)) (sinh.f64 (neg.f64 im))) #s(literal 2 binary64)))
(*.f64 (sinh.f64 im) (/.f64 #s(approx (sin re) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 re re) re) re)) #s(literal -1 binary64)))
(*.f64 (sinh.f64 im) (neg.f64 #s(approx (sin re) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 re re) re) re))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (sin re) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 re re) re) re)) (sinh.f64 (neg.f64 im))) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 re re) re) re))))
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (/.f64 #s(approx (sin re) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 re re) re) re)) #s(literal 2 binary64)))
(*.f64 #s(approx (sin re) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 re re) re) re)) (sinh.f64 (neg.f64 im)))
(*.f64 (sinh.f64 (neg.f64 im)) (/.f64 #s(approx (sin re) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 re re) re) re)) #s(literal 1 binary64)))
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (sin re) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 re re) re) re)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(approx (sin re) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 re re) re) re))))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(approx (sin re) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 re re) re) re))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(approx (sin re) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 re re) re) re)) (*.f64 #s(literal 2 binary64) (sinh.f64 im))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(approx (sin re) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 re re) re) re)))) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(approx (sin re) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 re re) re) re))) #s(literal 2 binary64))
(neg.f64 (*.f64 (sinh.f64 im) #s(approx (sin re) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 re re) re) re))))
(+.f64 (/.f64 (*.f64 #s(approx (sin re) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 re re) re) re)) (cosh.f64 im)) #s(literal 2 binary64)) (/.f64 (*.f64 #s(approx (sin re) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 re re) re) re)) (-.f64 (neg.f64 (exp.f64 im)) (sinh.f64 im))) #s(literal 2 binary64)))
(+.f64 (/.f64 (*.f64 #s(approx (sin re) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 re re) re) re)) (neg.f64 (exp.f64 im))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(approx (sin re) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 re re) re) re)) (exp.f64 (neg.f64 im))) #s(literal 2 binary64)))
(+.f64 (/.f64 (*.f64 #s(approx (sin re) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 re re) re) re)) (exp.f64 (neg.f64 im))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(approx (sin re) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 re re) re) re)) (neg.f64 (exp.f64 im))) #s(literal 2 binary64)))
(+.f64 (/.f64 (*.f64 (cosh.f64 im) #s(approx (sin re) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 re re) re) re))) #s(literal 2 binary64)) (/.f64 (*.f64 (-.f64 (neg.f64 (exp.f64 im)) (sinh.f64 im)) #s(approx (sin re) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 re re) re) re))) #s(literal 2 binary64)))
(+.f64 (/.f64 (*.f64 (neg.f64 (exp.f64 im)) #s(approx (sin re) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 re re) re) re))) #s(literal 2 binary64)) (/.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(approx (sin re) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 re re) re) re))) #s(literal 2 binary64)))
(+.f64 (/.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(approx (sin re) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 re re) re) re))) #s(literal 2 binary64)) (/.f64 (*.f64 (neg.f64 (exp.f64 im)) #s(approx (sin re) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 re re) re) re))) #s(literal 2 binary64)))
(*.f64 (/.f64 (+.f64 (exp.f64 im) #s(literal 1 binary64)) (exp.f64 im)) (/.f64 (expm1.f64 im) #s(literal -2 binary64)))
(*.f64 (/.f64 (expm1.f64 (+.f64 im im)) #s(literal -2 binary64)) (exp.f64 (neg.f64 im)))
(*.f64 (/.f64 (expm1.f64 (+.f64 im im)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 im)) #s(literal -1 binary64)))
(*.f64 (/.f64 (expm1.f64 (+.f64 im im)) #s(literal -1 binary64)) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (sinh.f64 im) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 im))) #s(literal 1 binary64)) #s(literal 1/4 binary64))
(*.f64 (/.f64 (sinh.f64 (neg.f64 im)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 (sinh.f64 im) #s(literal 1/2 binary64)) #s(literal -2 binary64))
(*.f64 (*.f64 (sinh.f64 im) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 im) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal -1/2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 im) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 im) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (neg.f64 im)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 im)))
(*.f64 #s(literal -1 binary64) (/.f64 (sinh.f64 (neg.f64 im)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (sinh.f64 im) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 im)))
(*.f64 (sinh.f64 (neg.f64 im)) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal 1 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 im)))) #s(literal -4 binary64))
(/.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) (neg.f64 im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (neg.f64 im))) #s(literal 1 binary64)))))
(/.f64 (sinh.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (cosh.f64 (*.f64 (neg.f64 im) #s(literal 2 binary64))) #s(literal 1 binary64)))))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (neg.f64 (exp.f64 (neg.f64 im))) (neg.f64 (exp.f64 im))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 im))) #s(literal 4 binary64))
(/.f64 (neg.f64 (expm1.f64 (+.f64 im im))) (neg.f64 (*.f64 (exp.f64 im) #s(literal -2 binary64))))
(/.f64 (expm1.f64 (+.f64 im im)) (*.f64 (exp.f64 im) #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 im)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 im)) #s(literal 2 binary64))
(sinh.f64 (neg.f64 im))
(neg.f64 (sinh.f64 (-.f64 im #s(literal 0 binary64))))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 im))))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 im))))
(neg.f64 (sinh.f64 im))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1 binary64)) #s(literal 1/4 binary64) (/.f64 (+.f64 (sinh.f64 (neg.f64 im)) (exp.f64 (neg.f64 im))) #s(literal 2 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 im)) #s(literal -1 binary64)) #s(literal 1/4 binary64) (/.f64 (-.f64 (sinh.f64 im) (exp.f64 (neg.f64 im))) #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal 2 binary64) (exp.f64 im)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 im))))
(fma.f64 (/.f64 #s(literal 2 binary64) (exp.f64 im)) #s(literal 1/4 binary64) (*.f64 (neg.f64 (exp.f64 im)) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 2 binary64) (exp.f64 im)) #s(literal 1/4 binary64) (neg.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 #s(literal 2 binary64) (exp.f64 im)) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 im)))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (sinh.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal -2 binary64)) #s(literal 2 binary64) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (sinh.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal 2 binary64)) #s(literal -2 binary64) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (sinh.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im)))) #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 im))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 1 binary64) (*.f64 (neg.f64 (exp.f64 im)) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 1 binary64) (neg.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 im)))
(fma.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (/.f64 (-.f64 (cosh.f64 im) (exp.f64 im)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 im)) (*.f64 (sinh.f64 im) #s(literal -1/2 binary64)))
(fma.f64 (neg.f64 (cosh.f64 im)) #s(literal 1/2 binary64) (/.f64 (+.f64 (sinh.f64 (neg.f64 im)) (exp.f64 (neg.f64 im))) #s(literal 2 binary64)))
(fma.f64 (neg.f64 (cosh.f64 im)) #s(literal 1/2 binary64) (/.f64 (-.f64 (sinh.f64 im) (exp.f64 (neg.f64 im))) #s(literal -2 binary64)))
(fma.f64 (fma.f64 #s(literal -2 binary64) (sinh.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 im))))
(fma.f64 (fma.f64 #s(literal -2 binary64) (sinh.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 1/4 binary64) (*.f64 (neg.f64 (exp.f64 im)) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 #s(literal -2 binary64) (sinh.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 im))) #s(literal 1/4 binary64) (neg.f64 (*.f64 (exp.f64 im) #s(literal 1/2 binary64))))
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(fma.f64 (*.f64 (exp.f64 (neg.f64 im)) #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 im))))
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(fma.f64 (cosh.f64 im) #s(literal -1/2 binary64) (/.f64 (-.f64 (sinh.f64 im) (exp.f64 (neg.f64 im))) #s(literal -2 binary64)))
(fma.f64 (cosh.f64 im) #s(literal 1/2 binary64) (*.f64 (-.f64 (neg.f64 (exp.f64 im)) (sinh.f64 im)) #s(literal 1/2 binary64)))
(fma.f64 (cosh.f64 im) #s(literal 1/2 binary64) (/.f64 (+.f64 (sinh.f64 im) (exp.f64 im)) #s(literal -2 binary64)))
(fma.f64 (sinh.f64 im) #s(literal -1/2 binary64) (/.f64 (-.f64 (cosh.f64 im) (exp.f64 im)) #s(literal 2 binary64)))
(fma.f64 (sinh.f64 im) #s(literal -1/2 binary64) (*.f64 (sinh.f64 im) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 0 binary64) (cosh.f64 im) (sinh.f64 (neg.f64 im)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sinh.f64 im) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 (cosh.f64 im) (exp.f64 im)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sinh.f64 im) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (sinh.f64 im) #s(literal -1/2 binary64)))
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eval203.0ms (3.1%)

Memory
-17.8MiB live, 227.4MiB allocated; 39ms collecting garbage
Compiler

Compiled 6 717 to 3 226 computations (52% saved)

prune27.0ms (0.4%)

Memory
42.9MiB live, 88.8MiB allocated; 4ms collecting garbage
Pruning

16 alts after pruning (12 fresh and 4 done)

PrunedKeptTotal
New7739782
Fresh538
Picked325
Done022
Total78116797
Accuracy
99.9%
Counts
797 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.8%
(-.f64 (*.f64 (*.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(approx (sin re) re)) (*.f64 #s(approx (exp im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) im #s(literal 1 binary64))) (*.f64 #s(approx (sin re) re) #s(literal 1/2 binary64))))
36.8%
(*.f64 (*.f64 (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) im #s(literal 1 binary64)))) #s(approx (sin re) re)) #s(literal 1/2 binary64))
52.8%
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (-.f64 (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (cosh.f64 im)) (sinh.f64 im)))
20.6%
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
23.9%
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp im) #s(approx (+ 1 (* im (+ 1 (* 1/2 im)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))))
23.9%
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp im) #s(approx (+ 1 (* im (+ 1 (* 1/2 im)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))))
99.9%
(*.f64 (sinh.f64 (neg.f64 im)) (sin.f64 re))
70.7%
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (sin re) (fma.f64 (*.f64 (*.f64 re re) re) #s(literal -1/6 binary64) re)))
66.5%
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (sin re) re))
51.3%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (sin.f64 re) (neg.f64 im)))
35.6%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (neg.f64 #s(approx (* im (sin re)) (*.f64 re im))))
36.1%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 re re) re)) im (*.f64 (neg.f64 re) im))))
42.3%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re)))
42.3%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) re) im) re) im))))
42.3%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (-.f64 (*.f64 (*.f64 re re) (*.f64 #s(literal 1/6 binary64) im)) im))))
39.5%
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (neg (* im (sin re))) (*.f64 re (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) im))) im))))
Compiler

Compiled 570 to 461 computations (19.1% saved)

regimes126.0ms (1.9%)

Memory
-1.1MiB live, 139.5MiB allocated; 19ms collecting garbage
Counts
33 → 1
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (neg.f64 #s(approx (* im (sin re)) (*.f64 re im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) #s(approx (* im (sin re)) (*.f64 im re))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (-.f64 (*.f64 (*.f64 re re) (*.f64 #s(literal 1/6 binary64) im)) im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) re) im) re) im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (-.f64 (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64)) im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 (*.f64 re im) (*.f64 #s(literal 1/6 binary64) re) (neg.f64 im)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 (*.f64 re re) (*.f64 #s(literal 1/6 binary64) im) (neg.f64 im)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) re) im) re (neg.f64 im)))))
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (sin re) re))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 re re) re)) im (*.f64 (neg.f64 re) im))))
(*.f64 (*.f64 (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) im #s(literal 1 binary64)))) #s(approx (sin re) re)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)) #s(approx (sin re) re)) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(-.f64 (*.f64 (*.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(approx (sin re) re)) (*.f64 #s(approx (exp im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) im #s(literal 1 binary64))) (*.f64 #s(approx (sin re) re) #s(literal 1/2 binary64))))
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (sin re) (fma.f64 (*.f64 (*.f64 re re) re) #s(literal -1/6 binary64) re)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp im) #s(approx (+ 1 (* im (+ 1 (* 1/2 im)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im #s(approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp im) #s(approx (+ 1 (* im (+ 1 (* 1/2 im)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (-.f64 (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (cosh.f64 im)) (sinh.f64 im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (sin.f64 re) (neg.f64 im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re))))
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))))
(*.f64 (sinh.f64 (neg.f64 im)) (sin.f64 re))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (neg (* im (sin re))) (*.f64 re (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) im))) im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im #s(approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Outputs
(*.f64 (sinh.f64 (neg.f64 im)) (sin.f64 re))
Calls

6 calls:

26.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
11.0ms
(sin.f64 re)
9.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
9.0ms
im
9.0ms
re
Results
AccuracySegmentsBranch
99.9%1(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
99.9%1(sin.f64 re)
99.9%1(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
99.9%1(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
99.9%1re
99.9%1im
Compiler

Compiled 23 to 28 computations (-21.7% saved)

regimes57.0ms (0.9%)

Memory
-5.3MiB live, 135.7MiB allocated; 20ms collecting garbage
Counts
29 → 3
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (neg.f64 #s(approx (* im (sin re)) (*.f64 re im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) #s(approx (* im (sin re)) (*.f64 im re))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (-.f64 (*.f64 (*.f64 re re) (*.f64 #s(literal 1/6 binary64) im)) im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) re) im) re) im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (-.f64 (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64)) im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 (*.f64 re im) (*.f64 #s(literal 1/6 binary64) re) (neg.f64 im)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 (*.f64 re re) (*.f64 #s(literal 1/6 binary64) im) (neg.f64 im)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) re) im) re (neg.f64 im)))))
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (sin re) re))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 re re) re)) im (*.f64 (neg.f64 re) im))))
(*.f64 (*.f64 (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) im #s(literal 1 binary64)))) #s(approx (sin re) re)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)) #s(approx (sin re) re)) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(-.f64 (*.f64 (*.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(approx (sin re) re)) (*.f64 #s(approx (exp im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) im #s(literal 1 binary64))) (*.f64 #s(approx (sin re) re) #s(literal 1/2 binary64))))
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (sin re) (fma.f64 (*.f64 (*.f64 re re) re) #s(literal -1/6 binary64) re)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp im) #s(approx (+ 1 (* im (+ 1 (* 1/2 im)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im #s(approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp im) #s(approx (+ 1 (* im (+ 1 (* 1/2 im)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (-.f64 (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (cosh.f64 im)) (sinh.f64 im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (sin.f64 re) (neg.f64 im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re))))
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))))
Outputs
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (sin re) re))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 (sin.f64 re) (neg.f64 im)))
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (sin re) (fma.f64 (*.f64 (*.f64 re re) re) #s(literal -1/6 binary64) re)))
Calls

6 calls:

14.0ms
(sin.f64 re)
11.0ms
im
9.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
8.0ms
re
8.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
Results
AccuracySegmentsBranch
89.7%2(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
80.8%2(sin.f64 re)
80.8%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
99.5%3(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
77.8%2re
91.7%3im
Compiler

Compiled 23 to 28 computations (-21.7% saved)

regimes216.0ms (3.3%)

Memory
-2.1MiB live, 87.4MiB allocated; 12ms collecting garbage
Counts
26 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (neg.f64 #s(approx (* im (sin re)) (*.f64 re im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) #s(approx (* im (sin re)) (*.f64 im re))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (-.f64 (*.f64 (*.f64 re re) (*.f64 #s(literal 1/6 binary64) im)) im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) re) im) re) im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (-.f64 (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64)) im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 (*.f64 re im) (*.f64 #s(literal 1/6 binary64) re) (neg.f64 im)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 (*.f64 re re) (*.f64 #s(literal 1/6 binary64) im) (neg.f64 im)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) re) im) re (neg.f64 im)))))
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (sin re) re))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 re re) re)) im (*.f64 (neg.f64 re) im))))
(*.f64 (*.f64 (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) im #s(literal 1 binary64)))) #s(approx (sin re) re)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)) #s(approx (sin re) re)) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(-.f64 (*.f64 (*.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(approx (sin re) re)) (*.f64 #s(approx (exp im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) im #s(literal 1 binary64))) (*.f64 #s(approx (sin re) re) #s(literal 1/2 binary64))))
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (sin re) (fma.f64 (*.f64 (*.f64 re re) re) #s(literal -1/6 binary64) re)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp im) #s(approx (+ 1 (* im (+ 1 (* 1/2 im)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im #s(approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp im) #s(approx (+ 1 (* im (+ 1 (* 1/2 im)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (-.f64 (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (cosh.f64 im)) (sinh.f64 im)))
Outputs
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (sin re) (fma.f64 (*.f64 (*.f64 re re) re) #s(literal -1/6 binary64) re)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (-.f64 (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (cosh.f64 im)) (sinh.f64 im)))
Calls

5 calls:

186.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
9.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
7.0ms
im
7.0ms
(sin.f64 re)
5.0ms
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
Results
AccuracySegmentsBranch
80.8%2(sin.f64 re)
80.8%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
70.7%1(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
72.4%2im
80.5%2(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 22 to 26 computations (-18.2% saved)

regimes43.0ms (0.7%)

Memory
-3.1MiB live, 42.1MiB allocated; 6ms collecting garbage
Counts
25 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (neg.f64 #s(approx (* im (sin re)) (*.f64 re im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) #s(approx (* im (sin re)) (*.f64 im re))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (-.f64 (*.f64 (*.f64 re re) (*.f64 #s(literal 1/6 binary64) im)) im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) re) im) re) im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (-.f64 (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64)) im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 (*.f64 re im) (*.f64 #s(literal 1/6 binary64) re) (neg.f64 im)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 (*.f64 re re) (*.f64 #s(literal 1/6 binary64) im) (neg.f64 im)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) re) im) re (neg.f64 im)))))
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (sin re) re))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 re re) re)) im (*.f64 (neg.f64 re) im))))
(*.f64 (*.f64 (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) im #s(literal 1 binary64)))) #s(approx (sin re) re)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)) #s(approx (sin re) re)) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(-.f64 (*.f64 (*.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(approx (sin re) re)) (*.f64 #s(approx (exp im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) im #s(literal 1 binary64))) (*.f64 #s(approx (sin re) re) #s(literal 1/2 binary64))))
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (sin re) (fma.f64 (*.f64 (*.f64 re re) re) #s(literal -1/6 binary64) re)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp im) #s(approx (+ 1 (* im (+ 1 (* 1/2 im)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) (*.f64 im #s(approx (sin re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp im) #s(approx (+ 1 (* im (+ 1 (* 1/2 im)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))))
Outputs
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (sin re) (fma.f64 (*.f64 (*.f64 re re) re) #s(literal -1/6 binary64) re)))
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (sin re) re))
Calls

2 calls:

35.0ms
(sin.f64 re)
7.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
Results
AccuracySegmentsBranch
80.8%2(sin.f64 re)
80.8%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
Compiler

Compiled 6 to 8 computations (-33.3% saved)

regimes25.0ms (0.4%)

Memory
4.0MiB live, 52.2MiB allocated; 17ms collecting garbage
Counts
19 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (neg.f64 #s(approx (* im (sin re)) (*.f64 re im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) #s(approx (* im (sin re)) (*.f64 im re))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (-.f64 (*.f64 (*.f64 re re) (*.f64 #s(literal 1/6 binary64) im)) im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) re) im) re) im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (-.f64 (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64)) im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 (*.f64 re im) (*.f64 #s(literal 1/6 binary64) re) (neg.f64 im)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 (*.f64 re re) (*.f64 #s(literal 1/6 binary64) im) (neg.f64 im)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) re) im) re (neg.f64 im)))))
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (sin re) re))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 re re) re)) im (*.f64 (neg.f64 re) im))))
(*.f64 (*.f64 (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) im #s(literal 1 binary64)))) #s(approx (sin re) re)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)) #s(approx (sin re) re)) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (-.f64 (exp.f64 (neg.f64 im)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
(-.f64 (*.f64 (*.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(approx (sin re) re)) (*.f64 #s(approx (exp im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) im #s(literal 1 binary64))) (*.f64 #s(approx (sin re) re) #s(literal 1/2 binary64))))
Outputs
(*.f64 (sinh.f64 (neg.f64 im)) #s(approx (sin re) re))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) re) im) re) im))))
Calls

3 calls:

14.0ms
(sin.f64 re)
5.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
4.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
78.3%2(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
78.1%2(sin.f64 re)
78.1%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
Compiler

Compiled 16 to 18 computations (-12.5% saved)

regimes23.0ms (0.3%)

Memory
24.1MiB live, 69.6MiB allocated; 6ms collecting garbage
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (neg.f64 #s(approx (* im (sin re)) (*.f64 re im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) #s(approx (* im (sin re)) (*.f64 im re))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (-.f64 (*.f64 (*.f64 re re) (*.f64 #s(literal 1/6 binary64) im)) im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) re) im) re) im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (-.f64 (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/6 binary64)) im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 (*.f64 re im) (*.f64 #s(literal 1/6 binary64) re) (neg.f64 im)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 (*.f64 re re) (*.f64 #s(literal 1/6 binary64) im) (neg.f64 im)))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) re) im) re (neg.f64 im)))))
Outputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) re) im) re) im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (neg.f64 #s(approx (* im (sin re)) (*.f64 re im))))
Calls

6 calls:

6.0ms
(sin.f64 re)
3.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
3.0ms
re
3.0ms
im
3.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
42.3%1(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
42.3%1im
42.3%1re
47.7%2(sin.f64 re)
47.7%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
47.3%2(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 23 to 28 computations (-21.7% saved)

regimes8.0ms (0.1%)

Memory
-27.9MiB live, 17.8MiB allocated; 4ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (neg.f64 #s(approx (* im (sin re)) (*.f64 re im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) #s(approx (* im (sin re)) (*.f64 im re))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 (*.f64 im (fma.f64 (*.f64 #s(literal 1/6 binary64) re) re #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 re (-.f64 (*.f64 (*.f64 re re) (*.f64 #s(literal 1/6 binary64) im)) im))))
Outputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) #s(approx (* -1 (* im (sin re))) (*.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) (*.f64 re re) #s(literal -1 binary64))) re)))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (neg.f64 #s(approx (* im (sin re)) (*.f64 re im))))
Calls

2 calls:

5.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
2.0ms
(sin.f64 re)
Results
AccuracySegmentsBranch
47.7%2(sin.f64 re)
47.7%2(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
Compiler

Compiled 6 to 8 computations (-33.3% saved)

regimes11.0ms (0.2%)

Memory
-10.0MiB live, 35.4MiB allocated; 3ms collecting garbage
Accuracy

Total -9.8b remaining (-23.8%)

Threshold costs -9.8b (-23.8%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (neg.f64 #s(approx (* im (sin re)) (*.f64 re im))))
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (*.f64 #s(literal -1 binary64) #s(approx (* im (sin re)) (*.f64 im re))))
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (sin re) re)) (-.f64 #s(approx (exp (neg im)) #s(literal 1 binary64)) #s(approx (exp im) (+.f64 #s(literal 1 binary64) im))))
Outputs
#s(approx (* (* 1/2 (sin re)) (- (exp (neg im)) (exp im))) (neg.f64 #s(approx (* im (sin re)) (*.f64 re im))))
Calls

6 calls:

4.0ms
re
2.0ms
(sin.f64 re)
2.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
1.0ms
im
1.0ms
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
Results
AccuracySegmentsBranch
35.6%1re
35.6%1im
35.6%1(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
35.6%1(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
35.6%1(sin.f64 re)
35.6%1(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
Compiler

Compiled 23 to 28 computations (-21.7% saved)

bsearch1.0ms (0%)

Memory
2.6MiB live, 2.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.08309387191079e-8
+inf
0.0ms
-3.922037618602769e-216
-0.0
Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0013881029605572516
0.019902460124471097
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0013881029605572516
0.019902460124471097
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-3.922037618602769e-216
-0.0
Compiler

Compiled 13 to 15 computations (-15.4% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0013881029605572516
0.019902460124471097
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0013881029605572516
0.019902460124471097
Compiler

Compiled 14 to 15 computations (-7.1% saved)

derivations465.0ms (7.1%)

Memory
-17.1MiB live, 382.1MiB allocated; 38ms collecting garbage
Stop Event
fuel
Compiler

Compiled 106 to 72 computations (32.1% saved)

preprocess254.0ms (3.9%)

Memory
46.8MiB live, 554.6MiB allocated; 126ms collecting garbage
Remove

(negabs im)

(negabs re)

Compiler

Compiled 1 264 to 1 044 computations (17.4% saved)

end0.0ms (0%)

Memory
0.1MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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