math.exp on complex, imaginary part

Time bar (total: 2.3s)

start0.0ms (0.0%)

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

analyze0.0ms (0.0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0.0%0.0%99.9%0.1%0.0%0.0%0.0%0
100.0%99.9%0.0%0.1%0.0%0.0%0.0%1
Compiler

Compiled 7 to 7 computations (0.0% saved)

sample890.0ms (39.4%)

Memory
-2.7MiB live, 1 060.6MiB allocated; 251ms collecting garbage
Samples
610.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 350.0ms
ival-sin: 197.0ms (56.3% of total)
ival-exp: 106.0ms (30.3% of total)
ival-mult!: 46.0ms (13.1% of total)
adjust: 2.0ms (0.6% of total)
Bogosity

preprocess26.0ms (1.1%)

Memory
19.3MiB live, 19.3MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01634
14332
214732
375032
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (exp.f64 re) (sin.f64 im))
Symmetry

(negabs im)

Compiler

Compiled 10 to 10 computations (0.0% saved)

sample0.0ms (0.0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
Outputs

series14.0ms (0.6%)

Memory
17.9MiB live, 17.9MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
090273
Stop Event
iter-limit
Counts
5 → 19
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) (sin.f64 im))
(exp.f64 re)
re
(sin.f64 im)
im
Outputs
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (+.f64 (sin.f64 im) (*.f64 re (sin.f64 im))))
#s(approx (* (exp re) (sin im)) (+.f64 (sin.f64 im) (*.f64 re (+.f64 (sin.f64 im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (sin.f64 im)))))))
#s(approx (* (exp re) (sin im)) (+.f64 (sin.f64 im) (*.f64 re (+.f64 (sin.f64 im) (*.f64 re (fma.f64 #s(literal 1/6 binary64) (*.f64 re (sin.f64 im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 im))))))))
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))))))
#s(approx re re)
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) (sin.f64 im)))
#s(approx (exp re) (exp.f64 re))
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
#s(approx (* (exp re) (sin im)) (*.f64 im (+.f64 (exp.f64 re) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))))))
#s(approx (* (exp re) (sin im)) (*.f64 im (+.f64 (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (exp.f64 re) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))))))))
#s(approx (* (exp re) (sin im)) (*.f64 im (+.f64 (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)) (*.f64 #s(literal 1/120 binary64) (exp.f64 re)))))))))
#s(approx (sin im) im)
#s(approx (sin im) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (sin im) (*.f64 im (+.f64 #s(literal 1 binary64) (*.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(approx (sin im) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
Calls

6 calls:

TimeVariablePoint
1.0ms
re
inf
1.0ms
re
-inf
0.0ms
im
-inf
0.0ms
im
0
0.0ms
im
inf

rewrite267.0ms (11.8%)

Memory
-37.6MiB live, 206.4MiB allocated; 71ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
0811
11311
25111
327511
4252911
0489311
Stop Event
iter-limit
node-limit
iter-limit
Counts
5 → 252
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) (sin.f64 im))
(exp.f64 re)
re
(sin.f64 im)
im
Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) (*.f64 (sinh.f64 re) (sin.f64 im)))) (*.f64 (sinh.f64 re) (sin.f64 im)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sinh.f64 (neg.f64 re)) (sin.f64 im)) (*.f64 (cosh.f64 re) (sin.f64 im)))) (*.f64 (cosh.f64 re) (sin.f64 im)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) (*.f64 (cosh.f64 re) (sin.f64 im)))) (*.f64 (cosh.f64 re) (sin.f64 im)))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(/.f64 (-.f64 (*.f64 (sin.f64 im) (*.f64 #s(literal -2 binary64) (cosh.f64 re))) (*.f64 (neg.f64 (sin.f64 im)) (*.f64 #s(literal -2 binary64) (sinh.f64 re)))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 re)) (sin.f64 im)) (*.f64 (neg.f64 (sin.f64 im)) (*.f64 #s(literal -2 binary64) (sinh.f64 re)))) #s(literal -2 binary64))
(/.f64 (-.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 im) #s(literal 2 binary64)) (cosh.f64 re))) (*.f64 (neg.f64 (sin.f64 im)) (*.f64 #s(literal -2 binary64) (sinh.f64 re)))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 im) #s(literal 2 binary64)) (cosh.f64 re)) (*.f64 (neg.f64 (sin.f64 im)) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 im) #s(literal 2 binary64)) (cosh.f64 re)) (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 re)) (sin.f64 im))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 im) #s(literal 2 binary64)) (cosh.f64 re)) (neg.f64 (*.f64 (*.f64 (sin.f64 im) #s(literal 2 binary64)) (sinh.f64 re)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (sin.f64 im) (*.f64 #s(literal -2 binary64) (cosh.f64 re))) (*.f64 (*.f64 (sin.f64 im) #s(literal 2 binary64)) (sinh.f64 re))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 re)) (sin.f64 im)) (*.f64 (*.f64 (sin.f64 im) #s(literal 2 binary64)) (sinh.f64 re))) #s(literal -2 binary64))
(/.f64 (-.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 im) #s(literal 2 binary64)) (cosh.f64 re))) (*.f64 (*.f64 (sin.f64 im) #s(literal 2 binary64)) (sinh.f64 re))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (sin.f64 im) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 re))))) #s(literal -4 binary64))
(/.f64 (neg.f64 (*.f64 (sin.f64 im) (*.f64 #s(literal 2 binary64) (exp.f64 re)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 re))) (sin.f64 im))) #s(literal -4 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (exp.f64 re)) (sin.f64 im))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 im) #s(literal 2 binary64)) (sinh.f64 re)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 im) #s(literal 2 binary64)) (cosh.f64 re)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 im) #s(literal 2 binary64)) (cosh.f64 re)) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sin.f64 im) #s(literal 2 binary64)) (sinh.f64 re)) #s(literal 2 binary64)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 im) #s(literal 2 binary64)) (sinh.f64 re)) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sin.f64 im) #s(literal 2 binary64)) (cosh.f64 re)) #s(literal 2 binary64)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 (sin.f64 im) #s(literal 2 binary64)) (cosh.f64 re) (*.f64 (*.f64 (sin.f64 im) #s(literal 2 binary64)) (sinh.f64 re)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 (sin.f64 im) #s(literal 2 binary64)) (sinh.f64 re) (*.f64 (*.f64 (sin.f64 im) #s(literal 2 binary64)) (cosh.f64 re)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 im) #s(literal 2 binary64)) (cosh.f64 re)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 im) #s(literal 2 binary64)) (sinh.f64 re))))) #s(literal -4 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 im) #s(literal 2 binary64)) (sinh.f64 re)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 im) #s(literal 2 binary64)) (cosh.f64 re))))) #s(literal -4 binary64))
(/.f64 (*.f64 (sin.f64 im) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 re)))) #s(literal 4 binary64))
(/.f64 (*.f64 (sin.f64 im) (*.f64 #s(literal 2 binary64) (exp.f64 re))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 re))) (sin.f64 im)) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (exp.f64 re)) (sin.f64 im)) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 im) #s(literal 2 binary64)) (sinh.f64 re))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 im) #s(literal 2 binary64)) (cosh.f64 re))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 im) #s(literal 2 binary64)) (cosh.f64 re)) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sin.f64 im) #s(literal 2 binary64)) (sinh.f64 re)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 im) #s(literal 2 binary64)) (sinh.f64 re)) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sin.f64 im) #s(literal 2 binary64)) (cosh.f64 re)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) (*.f64 (sinh.f64 re) (sin.f64 im))) (*.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) (*.f64 (cosh.f64 re) (sin.f64 im)))) (-.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) (*.f64 (cosh.f64 re) (sin.f64 im))))
(/.f64 (-.f64 (*.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) (*.f64 (cosh.f64 re) (sin.f64 im))) (*.f64 (*.f64 (sinh.f64 (neg.f64 re)) (sin.f64 im)) (*.f64 (sinh.f64 (neg.f64 re)) (sin.f64 im)))) (+.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) (*.f64 (sinh.f64 (neg.f64 re)) (sin.f64 im))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) (*.f64 (sinh.f64 re) (sin.f64 im)) (-.f64 (*.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) (*.f64 (cosh.f64 re) (sin.f64 im))) (*.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) (*.f64 (cosh.f64 re) (sin.f64 im))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 (neg.f64 re)) (sin.f64 im)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) (*.f64 (cosh.f64 re) (sin.f64 im)) (fma.f64 (*.f64 (sinh.f64 (neg.f64 re)) (sin.f64 im)) (*.f64 (sinh.f64 (neg.f64 re)) (sin.f64 im)) (*.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) (*.f64 (sinh.f64 (neg.f64 re)) (sin.f64 im))))))
(/.f64 (fma.f64 (*.f64 (sin.f64 im) #s(literal 2 binary64)) (cosh.f64 re) (*.f64 (*.f64 (sin.f64 im) #s(literal 2 binary64)) (sinh.f64 re))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (sin.f64 im) #s(literal 2 binary64)) (sinh.f64 re) (*.f64 (*.f64 (sin.f64 im) #s(literal 2 binary64)) (cosh.f64 re))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 im) #s(literal 2 binary64)) (cosh.f64 re)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 im) #s(literal 2 binary64)) (sinh.f64 re)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 im) #s(literal 2 binary64)) (sinh.f64 re)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 im) #s(literal 2 binary64)) (cosh.f64 re)))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) (*.f64 (cosh.f64 re) (sin.f64 im))) (*.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) (*.f64 (sinh.f64 re) (sin.f64 im)))) (-.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) (*.f64 (sinh.f64 re) (sin.f64 im))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) (*.f64 (cosh.f64 re) (sin.f64 im)) (-.f64 (*.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) (*.f64 (sinh.f64 re) (sin.f64 im))) (*.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) (*.f64 (sinh.f64 re) (sin.f64 im))))))
(neg.f64 (*.f64 (neg.f64 (exp.f64 re)) (sin.f64 im)))
(neg.f64 (*.f64 (sin.f64 im) (neg.f64 (exp.f64 re))))
(neg.f64 (-.f64 (*.f64 (sinh.f64 (neg.f64 re)) (sin.f64 im)) (*.f64 (cosh.f64 re) (sin.f64 im))))
(fma.f64 (*.f64 (*.f64 (sin.f64 im) #s(literal 2 binary64)) (cosh.f64 re)) #s(literal 1/2 binary64) (*.f64 (neg.f64 (neg.f64 (sin.f64 im))) (sinh.f64 re)))
(fma.f64 (*.f64 (*.f64 (sin.f64 im) #s(literal 2 binary64)) (cosh.f64 re)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (sinh.f64 (neg.f64 re)) (sin.f64 im))))
(fma.f64 (*.f64 (*.f64 (sin.f64 im) #s(literal 2 binary64)) (cosh.f64 re)) #s(literal 1/2 binary64) (*.f64 (sinh.f64 re) (sin.f64 im)))
(fma.f64 (*.f64 (*.f64 (sin.f64 im) #s(literal 2 binary64)) (sinh.f64 re)) #s(literal 1/2 binary64) (*.f64 (cosh.f64 re) (sin.f64 im)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) (*.f64 #s(literal 1/2 binary64) (sin.f64 im)) (*.f64 (cosh.f64 re) (sin.f64 im)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) (/.f64 (sin.f64 im) #s(literal 2 binary64)) (*.f64 (cosh.f64 re) (sin.f64 im)))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (*.f64 #s(literal 1/2 binary64) (sin.f64 im)) (*.f64 (neg.f64 (neg.f64 (sin.f64 im))) (sinh.f64 re)))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (*.f64 #s(literal 1/2 binary64) (sin.f64 im)) (neg.f64 (*.f64 (sinh.f64 (neg.f64 re)) (sin.f64 im))))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (*.f64 #s(literal 1/2 binary64) (sin.f64 im)) (*.f64 (sinh.f64 re) (sin.f64 im)))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (/.f64 (sin.f64 im) #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 (sin.f64 im))) (sinh.f64 re)))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (/.f64 (sin.f64 im) #s(literal 2 binary64)) (neg.f64 (*.f64 (sinh.f64 (neg.f64 re)) (sin.f64 im))))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (/.f64 (sin.f64 im) #s(literal 2 binary64)) (*.f64 (sinh.f64 re) (sin.f64 im)))
(fma.f64 (sinh.f64 re) (sin.f64 im) (*.f64 (cosh.f64 re) (sin.f64 im)))
(fma.f64 (cosh.f64 re) (sin.f64 im) (*.f64 (neg.f64 (neg.f64 (sin.f64 im))) (sinh.f64 re)))
(fma.f64 (cosh.f64 re) (sin.f64 im) (neg.f64 (*.f64 (sinh.f64 (neg.f64 re)) (sin.f64 im))))
(fma.f64 (cosh.f64 re) (sin.f64 im) (*.f64 (sinh.f64 re) (sin.f64 im)))
(fma.f64 (sin.f64 im) (sinh.f64 re) (*.f64 (cosh.f64 re) (sin.f64 im)))
(fma.f64 (sin.f64 im) (cosh.f64 re) (*.f64 (neg.f64 (neg.f64 (sin.f64 im))) (sinh.f64 re)))
(fma.f64 (sin.f64 im) (cosh.f64 re) (neg.f64 (*.f64 (sinh.f64 (neg.f64 re)) (sin.f64 im))))
(fma.f64 (sin.f64 im) (cosh.f64 re) (*.f64 (sinh.f64 re) (sin.f64 im)))
(-.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) (*.f64 (sinh.f64 (neg.f64 re)) (sin.f64 im)))
(-.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) (*.f64 (neg.f64 (cosh.f64 re)) (sin.f64 im)))
(-.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) (*.f64 (neg.f64 (sin.f64 im)) (cosh.f64 re)))
(-.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) (neg.f64 (*.f64 (cosh.f64 re) (sin.f64 im))))
(+.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) (*.f64 (neg.f64 (neg.f64 (sin.f64 im))) (sinh.f64 re)))
(+.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) (neg.f64 (*.f64 (sinh.f64 (neg.f64 re)) (sin.f64 im))))
(+.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) (*.f64 (sinh.f64 re) (sin.f64 im)))
(+.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) (*.f64 (cosh.f64 re) (sin.f64 im)))
(*.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) re re)) #s(literal 1/4 binary64)) (pow.f64 (exp.f64 re) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (exp.f64 (+.f64 re re))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (exp.f64 (+.f64 re re))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (exp.f64 (+.f64 re re)) #s(literal 1/4 binary64)) (pow.f64 (exp.f64 (+.f64 re re)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (exp.f64 (+.f64 re re)) (neg.f64 (exp.f64 re))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (exp.f64 re)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (exp.f64 re)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (exp.f64 (+.f64 re re)) (neg.f64 (exp.f64 re))) #s(literal 1/4 binary64)))
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(neg.f64 (neg.f64 (exp.f64 re)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 (neg.f64 re)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 re) #s(literal 1/2 binary64)))) (*.f64 (exp.f64 re) #s(literal 1/2 binary64)) (sinh.f64 re))
(fma.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 re)) #s(literal -1/2 binary64) (cosh.f64 re))
(fma.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 re)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 re)) #s(literal 4 binary64)))
(fma.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 re)) #s(literal -1/2 binary64) (sinh.f64 re))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re)) (cosh.f64 re))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (/.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 re)) #s(literal 4 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (sinh.f64 re))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 1/2 binary64) (cosh.f64 re))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 re) #s(literal 1/2 binary64)) (cosh.f64 re))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 re) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 re)) #s(literal 4 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 re) #s(literal 1/2 binary64)) (sinh.f64 re))
(fma.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 re) #s(literal 2 binary64)) (cosh.f64 re))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 re) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 re)) #s(literal 4 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 re) #s(literal 2 binary64)) (sinh.f64 re))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 re)) #s(literal 4 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 1/2 binary64) (sinh.f64 re))
(fma.f64 (exp.f64 re) #s(literal 1/2 binary64) (fma.f64 (exp.f64 (neg.f64 re)) #s(literal 1/2 binary64) (sinh.f64 re)))
(fma.f64 (exp.f64 re) #s(literal 1/2 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (expm1.f64 (+.f64 re re))) (exp.f64 re)) #s(literal -2 binary64)))
(-.f64 (+.f64 (cosh.f64 re) (*.f64 (exp.f64 re) #s(literal 1/2 binary64))) (*.f64 (exp.f64 (neg.f64 re)) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (exp.f64 re) #s(literal 1/2 binary64)) (-.f64 (*.f64 (exp.f64 (neg.f64 re)) #s(literal 1/2 binary64)) (cosh.f64 re)))
(-.f64 (*.f64 (exp.f64 re) #s(literal 1/2 binary64)) (fma.f64 (exp.f64 (neg.f64 re)) #s(literal 1/2 binary64) (neg.f64 (cosh.f64 re))))
(-.f64 (sinh.f64 re) (neg.f64 (cosh.f64 re)))
(-.f64 (cosh.f64 re) (sinh.f64 (neg.f64 re)))
(sqrt.f64 (exp.f64 (+.f64 re re)))
(fabs.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 re)) #s(literal 1/2 binary64)) (-.f64 (sinh.f64 (neg.f64 re)) (*.f64 (exp.f64 re) #s(literal 1/2 binary64)))))
(fabs.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 re)) #s(literal 1/2 binary64)) (+.f64 (cosh.f64 re) (*.f64 (exp.f64 re) #s(literal 1/2 binary64)))))
(fabs.f64 (-.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 re)) #s(literal 1/2 binary64)) (cosh.f64 re)) (*.f64 (exp.f64 re) #s(literal 1/2 binary64))))
(fabs.f64 (-.f64 (fma.f64 (exp.f64 (neg.f64 re)) #s(literal 1/2 binary64) (neg.f64 (cosh.f64 re))) (*.f64 (exp.f64 re) #s(literal 1/2 binary64))))
(fabs.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (neg.f64 re)))))
(fabs.f64 (neg.f64 (exp.f64 re)))
(fabs.f64 (exp.f64 re))
(exp.f64 (neg.f64 (-.f64 #s(literal 0 binary64) re)))
(exp.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) re)))
(exp.f64 (-.f64 #s(literal 0 binary64) (neg.f64 re)))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) re (+.f64 re re)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (+.f64 re re) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (*.f64 re #s(literal 4 binary64)))) #s(literal 1/4 binary64)))
(exp.f64 (/.f64 (+.f64 re re) #s(literal 2 binary64)))
(exp.f64 (*.f64 (+.f64 re re) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 re re))) #s(literal 1/2 binary64)))
(exp.f64 re)
(+.f64 (cosh.f64 (*.f64 (+.f64 re re) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (+.f64 re re) #s(literal 1/2 binary64))))
(+.f64 (cosh.f64 (/.f64 (+.f64 re re) #s(literal 2 binary64))) (sinh.f64 (/.f64 (+.f64 re re) #s(literal 2 binary64))))
(+.f64 (+.f64 (sinh.f64 re) (*.f64 (exp.f64 re) #s(literal 1/2 binary64))) (*.f64 (exp.f64 (neg.f64 re)) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 re)) #s(literal 4 binary64)) (cosh.f64 re))
(+.f64 (*.f64 (exp.f64 re) #s(literal 1/2 binary64)) (fma.f64 (exp.f64 (neg.f64 re)) #s(literal 1/2 binary64) (sinh.f64 re)))
(+.f64 (*.f64 (exp.f64 re) #s(literal 1/2 binary64)) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (expm1.f64 (+.f64 re re))) (exp.f64 re)) #s(literal -2 binary64)))
(+.f64 (sinh.f64 re) (cosh.f64 re))
(+.f64 (cosh.f64 re) (/.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 re)) #s(literal 4 binary64)))
(+.f64 (cosh.f64 re) (sinh.f64 re))
re
(sin.f64 im)
im

eval25.0ms (1.1%)

Memory
23.8MiB live, 68.7MiB allocated; 6ms collecting garbage
Compiler

Compiled 4 133 to 857 computations (79.3% saved)

prune7.0ms (0.3%)

Memory
15.2MiB live, 15.2MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2615266
Fresh000
Picked011
Done000
Total2616267
Accuracy
100.0%
Counts
267 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (exp.f64 re) (sin.f64 im))
66.6%
(*.f64 (exp.f64 re) #s(approx (sin im) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)))))))
78.8%
(*.f64 (exp.f64 re) #s(approx (sin im) im))
44.5%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
44.5%
#s(approx (* (exp re) (sin im)) (+.f64 (sin.f64 im) (*.f64 re (sin.f64 im))))
44.4%
#s(approx (* (exp re) (sin im)) (sin.f64 im))
Compiler

Compiled 109 to 91 computations (16.5% saved)

sample0.0ms (0.0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
-1/6
2
Outputs
#s(literal 1 binary64)
#s(literal -6004799503160661/36028797018963968 binary64)
#s(literal 2 binary64)
Samples
0.0ms0valid
Compiler

Compiled 5 to 5 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series65.0ms (2.9%)

Memory
-34.6MiB live, 20.1MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0177629
Stop Event
iter-limit
Counts
22 → 38
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) #s(approx (sin im) im))
(exp.f64 re)
re
#s(approx (sin im) im)
im
#s(approx (* (exp re) (sin im)) (sin.f64 im))
(sin.f64 im)
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
#s(literal 1 binary64)
(*.f64 (exp.f64 re) #s(approx (sin im) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (sin im) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)))
#s(literal -1/6 binary64)
(pow.f64 im #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (* (exp re) (sin im)) (+.f64 (sin.f64 im) (*.f64 re (sin.f64 im))))
(+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))
(*.f64 re (sin.f64 im))
Outputs
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (+.f64 (sin.f64 im) (*.f64 re (sin.f64 im))))
#s(approx (* (exp re) (sin im)) (+.f64 (sin.f64 im) (*.f64 re (+.f64 (sin.f64 im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (sin.f64 im)))))))
#s(approx (* (exp re) (sin im)) (+.f64 (sin.f64 im) (*.f64 re (+.f64 (sin.f64 im) (*.f64 re (fma.f64 #s(literal 1/6 binary64) (*.f64 re (sin.f64 im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 im))))))))
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))))))
#s(approx re re)
#s(approx (* re (sin im)) (*.f64 re (sin.f64 im)))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) (sin.f64 im)))
#s(approx (exp re) (exp.f64 re))
#s(approx (+ 1 re) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re))))
#s(approx (+ (sin im) (* re (sin im))) (*.f64 re (+.f64 (sin.f64 im) (/.f64 (sin.f64 im) re))))
#s(approx (+ (sin im) (* re (sin im))) (*.f64 #s(literal -1 binary64) (*.f64 re (fma.f64 #s(literal -1 binary64) (sin.f64 im) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 im) re))))))
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
#s(approx (* (exp re) (sin im)) (*.f64 im (+.f64 (exp.f64 re) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))))))
#s(approx (* (exp re) (sin im)) (*.f64 im (+.f64 (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (exp.f64 re) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))))))))
#s(approx (* (exp re) (sin im)) (*.f64 im (+.f64 (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)) (*.f64 #s(literal 1/120 binary64) (exp.f64 re)))))))))
#s(approx (sin im) im)
#s(approx (sin im) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (sin im) (*.f64 im (+.f64 #s(literal 1 binary64) (*.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(approx (sin im) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (+ 1 (* -1/6 (pow im 2))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)))))
#s(approx (* -1/6 (pow im 2)) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (pow im 2) (pow.f64 im #s(literal 2 binary64)))
#s(approx (+ (sin im) (* re (sin im))) (*.f64 im (+.f64 #s(literal 1 binary64) re)))
#s(approx (+ (sin im) (* re (sin im))) (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) re) #s(literal 1/6 binary64)))))))
#s(approx (+ (sin im) (* re (sin im))) (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/6 binary64) re (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/120 binary64) re)))) #s(literal 1/6 binary64)))))))
#s(approx (+ (sin im) (* re (sin im))) (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/6 binary64) re (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (fma.f64 #s(literal 1/120 binary64) re (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/5040 binary64) re) #s(literal 1/5040 binary64))))))) #s(literal 1/6 binary64)))))))
#s(approx (* re (sin im)) (*.f64 im re))
#s(approx (* re (sin im)) (*.f64 im (+.f64 re (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)))))
#s(approx (* re (sin im)) (*.f64 im (+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) re (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)))))))
#s(approx (* re (sin im)) (*.f64 im (+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) re (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re) (*.f64 #s(literal 1/120 binary64) re))))))))
#s(approx (* im (+ 1 (* -1/6 (pow im 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))))
#s(approx (* im (+ 1 (* -1/6 (pow im 2)))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64))))
#s(approx (+ 1 (* -1/6 (pow im 2))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64))))
#s(approx (* im (+ 1 (* -1/6 (pow im 2)))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
Calls

6 calls:

TimeVariablePoint
50.0ms
im
0
2.0ms
im
inf
2.0ms
im
-inf
1.0ms
re
0
1.0ms
re
-inf

rewrite182.0ms (8.1%)

Memory
15.8MiB live, 201.0MiB allocated; 35ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025121
039119
1128119
2414113
31290113
04052109
Stop Event
iter-limit
node-limit
iter-limit
Counts
22 → 506
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) #s(approx (sin im) im))
(exp.f64 re)
re
#s(approx (sin im) im)
im
#s(approx (* (exp re) (sin im)) (sin.f64 im))
(sin.f64 im)
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
#s(literal 1 binary64)
(*.f64 (exp.f64 re) #s(approx (sin im) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (sin im) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)))
#s(literal -1/6 binary64)
(pow.f64 im #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (* (exp re) (sin im)) (+.f64 (sin.f64 im) (*.f64 re (sin.f64 im))))
(+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))
(*.f64 re (sin.f64 im))
Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sinh.f64 re) #s(approx (sin im) im)) (*.f64 (cosh.f64 re) #s(approx (sin im) im)))) (*.f64 (cosh.f64 re) #s(approx (sin im) im)))
(*.f64 #s(approx (sin im) im) (exp.f64 re))
(*.f64 (exp.f64 re) #s(approx (sin im) im))
(/.f64 (fma.f64 (*.f64 #s(approx (sin im) im) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (sin im) im) (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(approx (sin im) im) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(approx (sin im) im)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(approx (sin im) im)) #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (sin im) im) (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(approx (sin im) im)) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(approx (sin im) im)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(approx (sin im) im) (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (sin im) im) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(approx (sin im) im) (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(approx (sin im) im)) #s(literal 2 binary64))) #s(literal 4 binary64))
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#s(literal 2 binary64)
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(fma.f64 (neg.f64 (neg.f64 (sin.f64 im))) re (sin.f64 im))
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(fma.f64 re (neg.f64 (neg.f64 (sin.f64 im))) (neg.f64 (neg.f64 (sin.f64 im))))
(fma.f64 re (neg.f64 (neg.f64 (sin.f64 im))) (sin.f64 im))
(fma.f64 re (sin.f64 im) (*.f64 (sin.f64 im) #s(literal 1 binary64)))
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(-.f64 (*.f64 (sin.f64 im) re) (neg.f64 (sin.f64 im)))
(-.f64 (sin.f64 im) (*.f64 (neg.f64 re) (sin.f64 im)))
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(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (neg.f64 (neg.f64 (sin.f64 im))) re)
(*.f64 (neg.f64 (sin.f64 im)) (neg.f64 re))
(*.f64 (neg.f64 re) (neg.f64 (sin.f64 im)))
(*.f64 (sin.f64 im) re)
(*.f64 re (neg.f64 (neg.f64 (sin.f64 im))))
(*.f64 re (sin.f64 im))
(neg.f64 (*.f64 (neg.f64 re) (sin.f64 im)))

eval99.0ms (4.4%)

Memory
-3.5MiB live, 179.5MiB allocated; 71ms collecting garbage
Compiler

Compiled 15 542 to 2 360 computations (84.8% saved)

prune14.0ms (0.6%)

Memory
38.1MiB live, 38.1MiB allocated; 0ms collecting garbage
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New6546660
Fresh000
Picked235
Done011
Total65610666
Accuracy
100.0%
Counts
666 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.0%
(fma.f64 (sinh.f64 re) #s(approx (sin im) im) (*.f64 (cosh.f64 re) #s(approx (sin im) im)))
100.0%
(*.f64 (exp.f64 re) (sin.f64 im))
66.6%
(*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64) im)))
66.6%
(*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 #s(literal -1/6 binary64) im) im)))
66.6%
(*.f64 (exp.f64 re) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)))))
78.8%
(*.f64 (exp.f64 re) #s(approx (sin im) im))
44.5%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
29.7%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) im))
26.8%
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) im))
44.4%
#s(approx (* (exp re) (sin im)) (sin.f64 im))
Compiler

Compiled 181 to 138 computations (23.8% saved)

sample0.0ms (0.0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
-1/6
1
Outputs
#s(literal -6004799503160661/36028797018963968 binary64)
#s(literal 1 binary64)
Samples
0.0ms0valid
Compiler

Compiled 4 to 4 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series18.0ms (0.8%)

Memory
-16.3MiB live, 30.3MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0120407
Stop Event
iter-limit
Counts
24 → 29
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)))))
(exp.f64 re)
re
#s(approx (sin im) (*.f64 im (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64))))
(*.f64 im (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)))
im
(fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64))
(*.f64 #s(literal -1/6 binary64) im)
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) im))
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (sin im) im)
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) im))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
(*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 #s(literal -1/6 binary64) im) im)))
#s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 #s(literal -1/6 binary64) im) im))
(fma.f64 (*.f64 im im) (*.f64 #s(literal -1/6 binary64) im) im)
(*.f64 im im)
(*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64) im)))
#s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64) im))
(fma.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64) im)
(*.f64 (*.f64 im im) im)
Outputs
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (+.f64 (sin.f64 im) (*.f64 re (sin.f64 im))))
#s(approx (* (exp re) (sin im)) (+.f64 (sin.f64 im) (*.f64 re (+.f64 (sin.f64 im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (sin.f64 im)))))))
#s(approx (* (exp re) (sin im)) (+.f64 (sin.f64 im) (*.f64 re (+.f64 (sin.f64 im) (*.f64 re (fma.f64 #s(literal 1/6 binary64) (*.f64 re (sin.f64 im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 im))))))))
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))))))
#s(approx re re)
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) (sin.f64 im)))
#s(approx (exp re) (exp.f64 re))
#s(approx (+ 1 re) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re))))
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
#s(approx (* (exp re) (sin im)) (*.f64 im (+.f64 (exp.f64 re) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))))))
#s(approx (* (exp re) (sin im)) (*.f64 im (+.f64 (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (exp.f64 re) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))))))))
#s(approx (* (exp re) (sin im)) (*.f64 im (+.f64 (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)) (*.f64 #s(literal 1/120 binary64) (exp.f64 re)))))))))
#s(approx (sin im) im)
#s(approx (sin im) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (sin im) (*.f64 im (+.f64 #s(literal 1 binary64) (*.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(approx (sin im) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (+ (* (* -1/6 im) im) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)))))
#s(approx (* -1/6 im) (*.f64 #s(literal -1/6 binary64) im))
#s(approx (* im im) (pow.f64 im #s(literal 2 binary64)))
#s(approx (* (* im im) im) (pow.f64 im #s(literal 3 binary64)))
#s(approx (* im (+ (* (* -1/6 im) im) 1)) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))))
#s(approx (* im (+ (* (* -1/6 im) im) 1)) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64))))
#s(approx (+ (* (* -1/6 im) im) 1) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (+ (* (* -1/6 im) im) 1) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64))))
#s(approx (* im (+ (* (* -1/6 im) im) 1)) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
Calls

6 calls:

TimeVariablePoint
4.0ms
re
-inf
3.0ms
im
-inf
2.0ms
im
inf
1.0ms
im
0
1.0ms
re
inf

rewrite256.0ms (11.4%)

Memory
-8.5MiB live, 244.7MiB allocated; 201ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026159
044157
1153139
2413139
31410139
04006139
Stop Event
iter-limit
node-limit
iter-limit
Counts
24 → 668
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)))))
(exp.f64 re)
re
#s(approx (sin im) (*.f64 im (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64))))
(*.f64 im (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)))
im
(fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64))
(*.f64 #s(literal -1/6 binary64) im)
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) im))
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (sin im) im)
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) im))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
(*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 #s(literal -1/6 binary64) im) im)))
#s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 #s(literal -1/6 binary64) im) im))
(fma.f64 (*.f64 im im) (*.f64 #s(literal -1/6 binary64) im) im)
(*.f64 im im)
(*.f64 (exp.f64 re) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64) im)))
#s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64) im))
(fma.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64) im)
(*.f64 (*.f64 im im) im)
Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cosh.f64 re) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im))) (*.f64 (sinh.f64 re) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im))))) (*.f64 (sinh.f64 re) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im))) (sinh.f64 re)) (*.f64 (cosh.f64 re) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im))))) (*.f64 (cosh.f64 re) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sinh.f64 (neg.f64 re)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im))) (*.f64 (cosh.f64 re) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im))))) (*.f64 (cosh.f64 re) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 (sinh.f64 re) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im)))) (*.f64 (cosh.f64 re) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im))))) (*.f64 (cosh.f64 re) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sinh.f64 re) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im))) (*.f64 (cosh.f64 re) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im))))) (*.f64 (cosh.f64 re) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im))))
(*.f64 #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im)) (exp.f64 re))
(*.f64 (exp.f64 re) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im)))
(/.f64 (fma.f64 (*.f64 (sinh.f64 re) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im))) #s(literal 2 binary64) (*.f64 #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im)) (*.f64 #s(literal 2 binary64) (cosh.f64 re)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (sinh.f64 re) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im))) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (cosh.f64 re) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im))) #s(literal 2 binary64) (*.f64 #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im)) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (cosh.f64 re) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im))) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im)) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im)) (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im)) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im))) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im))) #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im)) (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im))) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im))) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im)) (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im)) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im)) (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im))) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im))) #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im)) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im))) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im))) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (sinh.f64 re) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im))) (*.f64 (sinh.f64 re) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im)))) (*.f64 (*.f64 (cosh.f64 re) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im))) (*.f64 (cosh.f64 re) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im))))) (-.f64 (*.f64 (sinh.f64 re) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im))) (*.f64 (cosh.f64 re) #s(approx (sin im) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)) im)))))
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eval76.0ms (3.4%)

Memory
2.3MiB live, 147.7MiB allocated; 20ms collecting garbage
Compiler

Compiled 17 293 to 2 456 computations (85.8% saved)

prune42.0ms (1.9%)

Memory
-20.9MiB live, 25.4MiB allocated; 4ms collecting garbage
Pruning

11 alts after pruning (5 fresh and 6 done)

PrunedKeptTotal
New7234727
Fresh011
Picked325
Done044
Total72611737
Accuracy
100.0%
Counts
737 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.0%
(fma.f64 (sinh.f64 re) #s(approx (sin im) im) (*.f64 (cosh.f64 re) #s(approx (sin im) im)))
100.0%
(*.f64 (exp.f64 re) (sin.f64 im))
78.8%
(*.f64 (exp.f64 re) #s(approx (sin im) im))
44.5%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
29.3%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64) im)))
29.3%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 #s(literal -1/6 binary64) im) im)))
29.3%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)))))
29.7%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) im))
29.6%
(*.f64 #s(approx (exp re) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re)) re)) #s(approx (sin im) im))
26.8%
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) im))
44.4%
#s(approx (* (exp re) (sin im)) (sin.f64 im))
Compiler

Compiled 215 to 161 computations (25.1% saved)

sample0.0ms (0.0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
-1
-1/6
Outputs
#s(literal 1 binary64)
#s(literal -1 binary64)
#s(literal -6004799503160661/36028797018963968 binary64)
Samples
0.0ms0valid
Compiler

Compiled 5 to 5 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series48.0ms (2.1%)

Memory
-2.9MiB live, 43.2MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02621126
Stop Event
iter-limit
Counts
30 → 54
Calls
Call 1
Inputs
(fma.f64 (sinh.f64 re) #s(approx (sin im) im) (*.f64 (cosh.f64 re) #s(approx (sin im) im)))
(sinh.f64 re)
re
#s(approx (sin im) im)
im
(*.f64 (cosh.f64 re) #s(approx (sin im) im))
(cosh.f64 re)
(*.f64 #s(approx (exp re) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re)) re)) #s(approx (sin im) im))
#s(approx (exp re) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re)) re))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re)) re)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re))
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) re)
#s(literal -1 binary64)
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)))))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
#s(approx (sin im) (*.f64 im (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64))))
(*.f64 im (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64))
(*.f64 #s(literal -1/6 binary64) im)
#s(literal -1/6 binary64)
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 #s(literal -1/6 binary64) im) im)))
#s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 #s(literal -1/6 binary64) im) im))
(fma.f64 (*.f64 im im) (*.f64 #s(literal -1/6 binary64) im) im)
(*.f64 im im)
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64) im)))
#s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64) im))
(fma.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64) im)
(*.f64 (*.f64 im im) im)
Outputs
#s(approx (+ (* (sinh re) (sin im)) (* (cosh re) (sin im))) (sin.f64 im))
#s(approx (+ (* (sinh re) (sin im)) (* (cosh re) (sin im))) (+.f64 (sin.f64 im) (*.f64 re (sin.f64 im))))
#s(approx (+ (* (sinh re) (sin im)) (* (cosh re) (sin im))) (+.f64 (sin.f64 im) (*.f64 re (+.f64 (sin.f64 im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (sin.f64 im)))))))
#s(approx (+ (* (sinh re) (sin im)) (* (cosh re) (sin im))) (+.f64 (sin.f64 im) (*.f64 re (+.f64 (sin.f64 im) (*.f64 re (fma.f64 #s(literal 1/6 binary64) (*.f64 re (sin.f64 im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 im))))))))
#s(approx (sinh re) re)
#s(approx (sinh re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (sinh re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (sinh re) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.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(approx (* (cosh re) (sin im)) (+.f64 (sin.f64 im) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (sin.f64 im)))))
#s(approx (* (cosh re) (sin im)) (+.f64 (sin.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (sin.f64 im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 im))))))
#s(approx (* (cosh re) (sin im)) (+.f64 (sin.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sin.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (sin.f64 im)) (*.f64 #s(literal 1/24 binary64) (sin.f64 im))))))))
#s(approx (cosh re) #s(literal 1 binary64))
#s(approx (cosh re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
#s(approx (cosh re) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (cosh re) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))))))
#s(approx (- 1 (/ -1 re)) (/.f64 #s(literal 1 binary64) re))
#s(approx (- 1 (/ -1 re)) (/.f64 (+.f64 #s(literal 1 binary64) re) re))
#s(approx (/ -1 re) (/.f64 #s(literal -1 binary64) re))
#s(approx (+ (* (sinh re) (sin im)) (* (cosh re) (sin im))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 im) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 im) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))))))
#s(approx (sinh re) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))))
#s(approx (* (cosh re) (sin im)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 im) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))))))
#s(approx (cosh re) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) (sin.f64 im)))
#s(approx (exp re) (exp.f64 re))
#s(approx (* (- 1 (/ -1 re)) re) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re))))
#s(approx (- 1 (/ -1 re)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)))
#s(approx (+ (* (sinh re) (sin im)) (* (cosh re) (sin im))) (*.f64 im (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))))))
#s(approx (+ (* (sinh re) (sin im)) (* (cosh re) (sin im))) (*.f64 im (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (*.f64 #s(literal -1/12 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))))))))))
#s(approx (+ (* (sinh re) (sin im)) (* (cosh re) (sin im))) (*.f64 im (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (fma.f64 #s(literal -1/12 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/240 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (*.f64 #s(literal 1/240 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))))))))))))
#s(approx (+ (* (sinh re) (sin im)) (* (cosh re) (sin im))) (*.f64 im (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (fma.f64 #s(literal -1/12 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/240 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (fma.f64 #s(literal 1/240 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/10080 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (*.f64 #s(literal -1/10080 binary64) (-.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))))))))))))))))
#s(approx (sin im) im)
#s(approx (sin im) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (sin im) (*.f64 im (+.f64 #s(literal 1 binary64) (*.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(approx (sin im) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (* (cosh re) (sin im)) (*.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))))))
#s(approx (* (cosh re) (sin im)) (*.f64 im (fma.f64 #s(literal -1/12 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))))))
#s(approx (* (cosh re) (sin im)) (*.f64 im (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (*.f64 #s(literal 1/240 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))))))))))
#s(approx (* (cosh re) (sin im)) (*.f64 im (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))) (*.f64 #s(literal 1/240 binary64) (+.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (exp.f64 re)))))))))))
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
#s(approx (* (exp re) (sin im)) (*.f64 im (+.f64 (exp.f64 re) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))))))
#s(approx (* (exp re) (sin im)) (*.f64 im (+.f64 (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (exp.f64 re) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))))))))
#s(approx (* (exp re) (sin im)) (*.f64 im (+.f64 (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)) (*.f64 #s(literal 1/120 binary64) (exp.f64 re)))))))))
#s(approx (+ (* (* -1/6 im) im) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)))))
#s(approx (* -1/6 im) (*.f64 #s(literal -1/6 binary64) im))
#s(approx (* im im) (pow.f64 im #s(literal 2 binary64)))
#s(approx (* (* im im) im) (pow.f64 im #s(literal 3 binary64)))
#s(approx (* im (+ (* (* -1/6 im) im) 1)) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))))
#s(approx (* im (+ (* (* -1/6 im) im) 1)) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64))))
#s(approx (+ (* (* -1/6 im) im) 1) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(approx (+ (* (* -1/6 im) im) 1) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64))))
#s(approx (* im (+ (* (* -1/6 im) im) 1)) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
Calls

6 calls:

TimeVariablePoint
5.0ms
im
inf
3.0ms
re
inf
3.0ms
re
-inf
3.0ms
im
-inf
2.0ms
im
0

rewrite118.0ms (5.2%)

Memory
23.9MiB live, 209.6MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032211
055193
1219172
2746172
33599172
04002172
Stop Event
iter-limit
node-limit
iter-limit
Counts
30 → 605
Calls
Call 1
Inputs
(fma.f64 (sinh.f64 re) #s(approx (sin im) im) (*.f64 (cosh.f64 re) #s(approx (sin im) im)))
(sinh.f64 re)
re
#s(approx (sin im) im)
im
(*.f64 (cosh.f64 re) #s(approx (sin im) im))
(cosh.f64 re)
(*.f64 #s(approx (exp re) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re)) re)) #s(approx (sin im) im))
#s(approx (exp re) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re)) re))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re)) re)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re))
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) re)
#s(literal -1 binary64)
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)))))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
#s(approx (sin im) (*.f64 im (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64))))
(*.f64 im (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64))
(*.f64 #s(literal -1/6 binary64) im)
#s(literal -1/6 binary64)
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 #s(literal -1/6 binary64) im) im)))
#s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 #s(literal -1/6 binary64) im) im))
(fma.f64 (*.f64 im im) (*.f64 #s(literal -1/6 binary64) im) im)
(*.f64 im im)
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64) im)))
#s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64) im))
(fma.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64) im)
(*.f64 (*.f64 im im) im)
Outputs
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 #s(approx (sin im) im)) (sinh.f64 re)) (*.f64 (cosh.f64 re) #s(approx (sin im) im)))) (*.f64 (cosh.f64 re) #s(approx (sin im) im)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (sin im) im) (sinh.f64 re)) (*.f64 (cosh.f64 re) #s(approx (sin im) im)))) (*.f64 (cosh.f64 re) #s(approx (sin im) im)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (cosh.f64 re)) #s(approx (sin im) im)) (*.f64 #s(approx (sin im) im) (sinh.f64 re)))) (*.f64 #s(approx (sin im) im) (sinh.f64 re)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cosh.f64 re) #s(approx (sin im) im)) (*.f64 #s(approx (sin im) im) (sinh.f64 re)))) (*.f64 #s(approx (sin im) im) (sinh.f64 re)))
(*.f64 (exp.f64 re) #s(approx (sin im) im))
(*.f64 #s(approx (sin im) im) (exp.f64 re))
(/.f64 (*.f64 #s(approx (sin im) im) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 re)))) #s(literal 4 binary64))
(/.f64 (*.f64 #s(approx (sin im) im) (*.f64 #s(literal 2 binary64) (exp.f64 re))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 re))) #s(approx (sin im) im)) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (exp.f64 re)) #s(approx (sin im) im)) #s(literal 2 binary64))
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eval71.0ms (3.1%)

Memory
21.7MiB live, 160.8MiB allocated; 19ms collecting garbage
Compiler

Compiled 12 572 to 2 382 computations (81.1% saved)

prune32.0ms (1.4%)

Memory
-39.3MiB live, 63.5MiB allocated; 28ms collecting garbage
Pruning

18 alts after pruning (9 fresh and 9 done)

PrunedKeptTotal
New5519560
Fresh000
Picked235
Done066
Total55318571
Accuracy
100.0%
Counts
571 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.3%
(fma.f64 #s(approx (sinh re) re) #s(approx (sin im) im) (*.f64 (cosh.f64 re) #s(approx (sin im) im)))
100.0%
(*.f64 (exp.f64 re) (sin.f64 im))
78.8%
(*.f64 (exp.f64 re) #s(approx (sin im) im))
35.9%
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 re re re) re)) #s(approx (sin im) im))
29.6%
(*.f64 #s(approx (exp re) (-.f64 re (*.f64 (/.f64 #s(literal -1 binary64) re) re))) #s(approx (sin im) im))
44.5%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
29.3%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
29.3%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64) im)))
29.3%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 #s(literal -1/6 binary64) im) im)))
29.3%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (exp.f64 (*.f64 (log.f64 im) #s(literal 3 binary64))) #s(literal -1/6 binary64) im)))
29.3%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (*.f64 im (fma.f64 (*.f64 #s(literal -1/6 binary64) im) im #s(literal 1 binary64)))))
29.7%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) im))
11.6%
(*.f64 #s(approx (exp re) (*.f64 (/.f64 (fma.f64 re re re) (*.f64 re re)) re)) #s(approx (sin im) im))
13.6%
(*.f64 #s(approx (exp re) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 re)) #s(literal -1 binary64)))) re)) #s(approx (sin im) im))
14.4%
(*.f64 #s(approx (exp re) (*.f64 (*.f64 re (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) re)) re)) re)) #s(approx (sin im) im))
26.7%
(*.f64 #s(approx (exp re) (*.f64 #s(approx (- 1 (/ -1 re)) (/.f64 #s(literal 1 binary64) re)) re)) #s(approx (sin im) im))
26.8%
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) im))
44.4%
#s(approx (* (exp re) (sin im)) (sin.f64 im))
Compiler

Compiled 611 to 461 computations (24.5% saved)

derivations0.0ms (0.0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Stop Event
fuel
Compiler

Compiled 5 to 5 computations (0.0% saved)

preprocess8.0ms (0.4%)

Memory
28.2MiB live, 28.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 20 to 20 computations (0.0% saved)

end0.0ms (0.0%)

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

Profiling

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