math.exp on complex, real part

Time bar (total: 6.9s)

analyze0.0ms (0%)

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 8 to 6 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
Operation ival-exp, time spent: 0.0ms, 0.0% of total-time
Operation ival-cos, time spent: 0.0ms, 0.0% of total-time
Operation ival-mult, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

sample1.6s (23.2%)

Results
1.1s6172×256valid
470.0ms2083×256infinite
0.0ms256valid
Precisions
Click to see histograms. Total time spent on operations: 646.0ms
Operation ival-cos, time spent: 481.0ms, 74.0% of total-time
Operation ival-exp, time spent: 85.0ms, 13.0% of total-time
Operation ival-mult, time spent: 71.0ms, 11.0% of total-time
Operation const, time spent: 10.0ms, 2.0% of total-time
Bogosity

preprocess126.0ms (1.8%)

Algorithm
egg-herbie
Rules
111×fma-define
30×fmm-def
23×sub-neg
16×associate-*r*
14×+-commutative
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(exp.f64 re)
00-0-im
00-0-re
00-0-(cos.f64 im)
00-0-(*.f64 (exp.f64 re) (cos.f64 im))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
022163
145161
281155
3117155
4193155
5270155
6323155
7363155
8446155
9446155
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 (neg.f64 re)) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 (neg.f64 im)))
(neg.f64 (*.f64 (exp.f64 (neg.f64 re)) (cos.f64 im)))
(neg.f64 (*.f64 (exp.f64 re) (cos.f64 (neg.f64 im))))
(*.f64 (exp.f64 im) (cos.f64 re))
Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 (neg.f64 re)) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 (neg.f64 re)))
(/.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 (neg.f64 im)))
(*.f64 (exp.f64 re) (cos.f64 im))
(neg.f64 (*.f64 (exp.f64 (neg.f64 re)) (cos.f64 im)))
(*.f64 (exp.f64 (neg.f64 re)) (neg.f64 (cos.f64 im)))
(*.f64 (cos.f64 im) (/.f64 #s(literal -1 binary64) (exp.f64 re)))
(/.f64 (cos.f64 im) (neg.f64 (exp.f64 re)))
(neg.f64 (*.f64 (exp.f64 re) (cos.f64 (neg.f64 im))))
(*.f64 (exp.f64 re) (neg.f64 (cos.f64 im)))
(*.f64 (cos.f64 im) (neg.f64 (exp.f64 re)))
(*.f64 (exp.f64 im) (cos.f64 re))
Symmetry

(abs im)

Compiler

Compiled 35 to 17 computations (51.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
Operation ival-cos, time spent: 14.0ms, 60.0% of total-time
Operation ival-exp, time spent: 4.0ms, 17.0% of total-time
Operation ival-mult, time spent: 4.0ms, 17.0% of total-time
Operation const, time spent: 1.0ms, 4.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune102.0ms (1.5%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

localize98.0ms (1.4%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
Operation ival-cos, time spent: 7.0ms, 58.0% of total-time
Operation ival-exp, time spent: 2.0ms, 17.0% of total-time
Operation ival-mult, time spent: 2.0ms, 17.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

series4.0ms (0.1%)

Counts
1 → 24
Calls
Call 1
Inputs
#<alt (*.f64 (exp.f64 re) (cos.f64 im))>
Outputs
#<alt (cos.f64 im)>
#<alt (+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))>
#<alt (+.f64 (cos.f64 im) (*.f64 re (+.f64 (cos.f64 im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (cos.f64 im))))))>
#<alt (+.f64 (cos.f64 im) (*.f64 re (+.f64 (cos.f64 im) (*.f64 re (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re (cos.f64 im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 im)))))))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (exp.f64 re)>
#<alt (+.f64 (exp.f64 re) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))))>
#<alt (+.f64 (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 re)) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))))))>
#<alt (+.f64 (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))) (*.f64 #s(literal 1/24 binary64) (exp.f64 re)))))))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
Calls

6 calls:

TimeVariablePointExpression
1.0ms
re
@inf
(* (exp re) (cos im))
1.0ms
im
@0
(* (exp re) (cos im))
1.0ms
re
@0
(* (exp re) (cos im))
0.0ms
re
@-inf
(* (exp re) (cos im))
0.0ms
im
@inf
(* (exp re) (cos im))

rewrite433.0ms (6.2%)

Algorithm
batch-egg-rewrite
Rules
398×log1p-expm1-u
398×expm1-log1p-u
380×add-exp-log
375×unpow-prod-down
365×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01121
110121
2110521
Stop Event
node limit
Counts
1 → 21
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 (exp.f64 re) (cos.f64 im)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 re) (cos.f64 im))) #s(literal 1 binary64))
(pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))) #s(literal 2 binary64))
(pow.f64 (E.f64) (+.f64 re (log.f64 (cos.f64 im))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 re (log.f64 (cos.f64 im)))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 re (log.f64 (cos.f64 im)))))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 re (log.f64 (cos.f64 im))))) (sqrt.f64 (+.f64 re (log.f64 (cos.f64 im)))))
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 re) (cos.f64 im))))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 re) (cos.f64 im))))
(exp.f64 (+.f64 re (log.f64 (cos.f64 im))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 re (log.f64 (cos.f64 im)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 re (log.f64 (cos.f64 im)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (log.f64 (cos.f64 im)))) #s(literal 2 binary64)))

simplify73.0ms (1%)

Algorithm
egg-herbie
Rules
809×distribute-lft-in
709×distribute-rgt-in
484×distribute-lft-out
325×fma-define
290×associate-*r*
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01011328
12491267
27541237
322811222
463771219
Stop Event
node limit
Counts
45 → 53
Calls
Call 1
Inputs
(cos.f64 im)
(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
(+.f64 (cos.f64 im) (*.f64 re (+.f64 (cos.f64 im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (cos.f64 im))))))
(+.f64 (cos.f64 im) (*.f64 re (+.f64 (cos.f64 im) (*.f64 re (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re (cos.f64 im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 im)))))))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(exp.f64 re)
(+.f64 (exp.f64 re) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))))
(+.f64 (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 re)) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))))))
(+.f64 (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))) (*.f64 #s(literal 1/24 binary64) (exp.f64 re)))))))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(+.f64 #s(literal 0 binary64) (*.f64 (exp.f64 re) (cos.f64 im)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 re) (cos.f64 im))) #s(literal 1 binary64))
(pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))) #s(literal 2 binary64))
(pow.f64 (E.f64) (+.f64 re (log.f64 (cos.f64 im))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 re (log.f64 (cos.f64 im)))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 re (log.f64 (cos.f64 im)))))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 re (log.f64 (cos.f64 im))))) (sqrt.f64 (+.f64 re (log.f64 (cos.f64 im)))))
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 re) (cos.f64 im))))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 re) (cos.f64 im))))
(exp.f64 (+.f64 re (log.f64 (cos.f64 im))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 re (log.f64 (cos.f64 im)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 re (log.f64 (cos.f64 im)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (log.f64 (cos.f64 im)))) #s(literal 2 binary64)))
Outputs
(cos.f64 im)
(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(+.f64 (cos.f64 im) (*.f64 re (+.f64 (cos.f64 im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (cos.f64 im))))))
(+.f64 (cos.f64 im) (*.f64 re (+.f64 (cos.f64 im) (*.f64 (*.f64 #s(literal 1/2 binary64) re) (cos.f64 im)))))
(fma.f64 re (*.f64 (+.f64 (*.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64)) (cos.f64 im)) (cos.f64 im))
(fma.f64 re (*.f64 (cos.f64 im) (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))) (cos.f64 im))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (*.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(+.f64 (cos.f64 im) (*.f64 re (+.f64 (cos.f64 im) (*.f64 re (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re (cos.f64 im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 im)))))))
(+.f64 (cos.f64 im) (*.f64 re (+.f64 (cos.f64 im) (*.f64 re (fma.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 im) re) (*.f64 (cos.f64 im) #s(literal 1/2 binary64)))))))
(fma.f64 re (fma.f64 re (*.f64 (cos.f64 im) (+.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (cos.f64 im)) (cos.f64 im))
(fma.f64 re (fma.f64 re (*.f64 (cos.f64 im) (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (cos.f64 im)) (cos.f64 im))
(*.f64 (cos.f64 im) (+.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re))))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 (*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(exp.f64 re)
(+.f64 (exp.f64 re) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))))
(+.f64 (exp.f64 re) (*.f64 #s(literal -1/2 binary64) (*.f64 (exp.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 re))
(*.f64 (exp.f64 re) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 re)) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))))))
(+.f64 (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (exp.f64 re) (*.f64 (*.f64 (exp.f64 re) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (exp.f64 re) (+.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)))) (exp.f64 re))
(*.f64 (exp.f64 re) (+.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64))))
(*.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))))
(+.f64 (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))) (*.f64 #s(literal 1/24 binary64) (exp.f64 re)))))))
(+.f64 (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 (exp.f64 re) (pow.f64 im #s(literal 2 binary64))) (*.f64 (exp.f64 re) #s(literal 1/24 binary64)))))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (exp.f64 re) #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (exp.f64 re) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))))) (exp.f64 re))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (exp.f64 re) (*.f64 (*.f64 (exp.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (pow.f64 im #s(literal 4 binary64))))
(*.f64 (exp.f64 re) (+.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(+.f64 #s(literal 0 binary64) (*.f64 (exp.f64 re) (cos.f64 im)))
(*.f64 (cos.f64 im) (exp.f64 re))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 re) (cos.f64 im))) #s(literal 1 binary64))
(*.f64 (cos.f64 im) (exp.f64 re))
(pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 1 binary64))
(*.f64 (cos.f64 im) (exp.f64 re))
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))) #s(literal 3 binary64))
(*.f64 (cos.f64 im) (exp.f64 re))
(pow.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (cos.f64 im) (exp.f64 re))
(pow.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (cos.f64 im) (exp.f64 re))
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))) #s(literal 2 binary64))
(*.f64 (cos.f64 im) (exp.f64 re))
(pow.f64 (E.f64) (+.f64 re (log.f64 (cos.f64 im))))
(*.f64 (cos.f64 im) (exp.f64 re))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 re (log.f64 (cos.f64 im)))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 re (log.f64 (cos.f64 im)))))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 re (log.f64 (cos.f64 im))))) (sqrt.f64 (+.f64 re (log.f64 (cos.f64 im)))))
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)))
(*.f64 (cos.f64 im) (exp.f64 re))
(log.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))
(*.f64 (cos.f64 im) (exp.f64 re))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 3 binary64)))
(*.f64 (cos.f64 im) (exp.f64 re))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 re) (cos.f64 im))))
(*.f64 (cos.f64 im) (exp.f64 re))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 re) (cos.f64 im))))
(*.f64 (cos.f64 im) (exp.f64 re))
(exp.f64 (+.f64 re (log.f64 (cos.f64 im))))
(*.f64 (cos.f64 im) (exp.f64 re))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 re (log.f64 (cos.f64 im)))) #s(literal 3 binary64)))
(*.f64 (cos.f64 im) (exp.f64 re))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 re (log.f64 (cos.f64 im)))) #s(literal 1/3 binary64)))
(*.f64 (cos.f64 im) (exp.f64 re))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (log.f64 (cos.f64 im)))) #s(literal 2 binary64)))
(*.f64 (cos.f64 im) (exp.f64 re))

eval13.0ms (0.2%)

Compiler

Compiled 655 to 326 computations (50.2% saved)

prune14.0ms (0.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New49453
Fresh000
Picked011
Done000
Total49554
Accuracy
100.0%
Counts
54 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.0%
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
98.9%
(log.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))
71.0%
(exp.f64 re)
51.0%
(cos.f64 im)
Compiler

Compiled 32 to 24 computations (25% saved)

localize771.0ms (11.1%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
99.9%
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
99.9%
(pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))
99.3%
(log.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))
Compiler

Compiled 45 to 14 computations (68.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 550.0ms
Operation ival-pow, time spent: 375.0ms, 68.0% of total-time
Operation ival-cos, time spent: 76.0ms, 14.0% of total-time
Operation ival-log, time spent: 63.0ms, 11.0% of total-time
Operation ival-exp, time spent: 15.0ms, 3.0% of total-time
Operation ival-mult, time spent: 9.0ms, 2.0% of total-time
Operation ival-add, time spent: 9.0ms, 2.0% of total-time
Operation const, time spent: 2.0ms, 0.0% of total-time

series435.0ms (6.3%)

Counts
3 → 72
Calls
Call 1
Inputs
#<alt (log.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))>
#<alt (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))>
#<alt (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))>
Outputs
#<alt (cos.f64 im)>
#<alt (+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))>
#<alt (+.f64 (cos.f64 im) (*.f64 re (+.f64 (cos.f64 im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 im) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 im) #s(literal 2 binary64)))))))))))>
#<alt (+.f64 (cos.f64 im) (*.f64 re (+.f64 (cos.f64 im) (*.f64 re (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -6 binary64) (*.f64 (cos.f64 im) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 im) #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 im) #s(literal 3 binary64))) (*.f64 #s(literal 6 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 im)) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (cos.f64 im) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 im) #s(literal 2 binary64)))))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 im) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 im) #s(literal 2 binary64))))))))))))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (exp.f64 re)>
#<alt (+.f64 (exp.f64 re) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))))>
#<alt (+.f64 (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 re)) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 (exp.f64 re) #s(literal 2 binary64))) (*.f64 #s(literal 24 binary64) (+.f64 (*.f64 #s(literal 1/24 binary64) (exp.f64 re)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (exp.f64 re) #s(literal 2 binary64)))))))))))>
#<alt (+.f64 (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -30 binary64) (pow.f64 (exp.f64 re) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 360 binary64) (*.f64 (exp.f64 re) (+.f64 (*.f64 #s(literal 1/24 binary64) (exp.f64 re)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (exp.f64 re) #s(literal 2 binary64)))))) (*.f64 #s(literal 720 binary64) (+.f64 (*.f64 #s(literal -1/48 binary64) (pow.f64 (exp.f64 re) #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -1/48 binary64) (pow.f64 (exp.f64 re) #s(literal 3 binary64))) (*.f64 #s(literal -1/720 binary64) (exp.f64 re))))))))) (*.f64 #s(literal 1/24 binary64) (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 (exp.f64 re) #s(literal 2 binary64))) (*.f64 #s(literal 24 binary64) (+.f64 (*.f64 #s(literal 1/24 binary64) (exp.f64 re)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (exp.f64 re) #s(literal 2 binary64))))))))))))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (exp.f64 (cos.f64 im))>
#<alt (+.f64 (exp.f64 (cos.f64 im)) (*.f64 re (*.f64 (cos.f64 im) (exp.f64 (cos.f64 im)))))>
#<alt (+.f64 (exp.f64 (cos.f64 im)) (*.f64 re (+.f64 (*.f64 re (*.f64 (exp.f64 (cos.f64 im)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 im) #s(literal 2 binary64)))))) (*.f64 (cos.f64 im) (exp.f64 (cos.f64 im))))))>
#<alt (+.f64 (exp.f64 (cos.f64 im)) (*.f64 re (+.f64 (*.f64 re (+.f64 (*.f64 re (*.f64 (exp.f64 (cos.f64 im)) (+.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 im)) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (cos.f64 im) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 im) #s(literal 2 binary64))))))) (*.f64 (exp.f64 (cos.f64 im)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 im) #s(literal 2 binary64))))))) (*.f64 (cos.f64 im) (exp.f64 (cos.f64 im))))))>
#<alt (exp.f64 (*.f64 (cos.f64 im) (exp.f64 re)))>
#<alt (exp.f64 (*.f64 (cos.f64 im) (exp.f64 re)))>
#<alt (exp.f64 (*.f64 (cos.f64 im) (exp.f64 re)))>
#<alt (exp.f64 (*.f64 (cos.f64 im) (exp.f64 re)))>
#<alt (exp.f64 (*.f64 (cos.f64 im) (exp.f64 re)))>
#<alt (exp.f64 (*.f64 (cos.f64 im) (exp.f64 re)))>
#<alt (exp.f64 (*.f64 (cos.f64 im) (exp.f64 re)))>
#<alt (exp.f64 (*.f64 (cos.f64 im) (exp.f64 re)))>
#<alt (exp.f64 (exp.f64 re))>
#<alt (+.f64 (exp.f64 (exp.f64 re)) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (exp.f64 re) (exp.f64 (exp.f64 re))))))>
#<alt (+.f64 (exp.f64 (exp.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (exp.f64 re) (exp.f64 (exp.f64 re)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (exp.f64 (exp.f64 re)) (+.f64 (*.f64 #s(literal 1/24 binary64) (exp.f64 re)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (exp.f64 re) #s(literal 2 binary64)))))))))>
#<alt (+.f64 (exp.f64 (exp.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (exp.f64 re) (exp.f64 (exp.f64 re)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (exp.f64 (exp.f64 re)) (+.f64 (*.f64 #s(literal 1/24 binary64) (exp.f64 re)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (exp.f64 re) #s(literal 2 binary64))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (exp.f64 (exp.f64 re)) (+.f64 (*.f64 #s(literal -1/48 binary64) (pow.f64 (exp.f64 re) #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -1/48 binary64) (pow.f64 (exp.f64 re) #s(literal 3 binary64))) (*.f64 #s(literal -1/720 binary64) (exp.f64 re)))))))))))>
#<alt (exp.f64 (*.f64 (cos.f64 im) (exp.f64 re)))>
#<alt (exp.f64 (*.f64 (cos.f64 im) (exp.f64 re)))>
#<alt (exp.f64 (*.f64 (cos.f64 im) (exp.f64 re)))>
#<alt (exp.f64 (*.f64 (cos.f64 im) (exp.f64 re)))>
#<alt (exp.f64 (*.f64 (cos.f64 im) (exp.f64 re)))>
#<alt (exp.f64 (*.f64 (cos.f64 im) (exp.f64 re)))>
#<alt (exp.f64 (*.f64 (cos.f64 im) (exp.f64 re)))>
#<alt (exp.f64 (*.f64 (cos.f64 im) (exp.f64 re)))>
#<alt (cos.f64 im)>
#<alt (+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))>
#<alt (+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))>
#<alt (+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))>
#<alt (*.f64 re (cos.f64 im))>
#<alt (*.f64 re (+.f64 (cos.f64 im) (/.f64 (cos.f64 im) re)))>
#<alt (*.f64 re (+.f64 (cos.f64 im) (/.f64 (cos.f64 im) re)))>
#<alt (*.f64 re (+.f64 (cos.f64 im) (/.f64 (cos.f64 im) re)))>
#<alt (*.f64 re (cos.f64 im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 im)) (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 im) re)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 im)) (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 im) re)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 im)) (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 im) re)))))>
#<alt (+.f64 #s(literal 1 binary64) re)>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) re)) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re)))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))) (*.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) re))))))))>
#<alt (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))>
#<alt (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))>
#<alt (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))>
#<alt (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))>
#<alt (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))>
#<alt (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))>
#<alt (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))>
#<alt (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))>
Calls

18 calls:

TimeVariablePointExpression
179.0ms
re
@-inf
(log (pow (exp (exp re)) (cos im)))
143.0ms
re
@inf
(log (pow (exp (exp re)) (cos im)))
57.0ms
im
@0
(log (pow (exp (exp re)) (cos im)))
31.0ms
im
@inf
(log (pow (exp (exp re)) (cos im)))
18.0ms
im
@-inf
(log (pow (exp (exp re)) (cos im)))

rewrite108.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
826×log1p-expm1-u
826×expm1-log1p-u
453×log-prod
258×pow-pow
191×pow-to-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01669
120069
2231369
Stop Event
node limit
Counts
3 → 122
Calls
Call 1
Inputs
(log.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))
(pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
Outputs
(+.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 (exp.f64 re) (cos.f64 im)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (exp.f64 re) (cos.f64 im)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (exp.f64 re) (cos.f64 im))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (exp.f64 re) (cos.f64 im))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (exp.f64 re) (cos.f64 im)))))
(+.f64 (*.f64 (*.f64 (cos.f64 im) #s(literal 1/2 binary64)) (exp.f64 re)) (*.f64 (*.f64 (cos.f64 im) #s(literal 1/2 binary64)) (exp.f64 re)))
(+.f64 (log.f64 (pow.f64 #s(literal 1 binary64) (cos.f64 im))) (*.f64 (exp.f64 re) (cos.f64 im)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 re))) (*.f64 #s(literal 2 binary64) (cos.f64 im)))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 re))) (cos.f64 im))))
(+.f64 (log.f64 (pow.f64 (sqrt.f64 (exp.f64 (exp.f64 re))) (cos.f64 im))) (log.f64 (pow.f64 (sqrt.f64 (exp.f64 (exp.f64 re))) (cos.f64 im))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 re) (cos.f64 im)))) #s(literal 1 binary64))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 1 binary64))
(*.f64 (*.f64 (exp.f64 re) (cos.f64 im)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 re) (cos.f64 im)))
(*.f64 (cbrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))) (pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 re)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (exp.f64 re)) (cos.f64 im)))
(*.f64 (cbrt.f64 (cos.f64 im)) (log.f64 (pow.f64 (exp.f64 (exp.f64 re)) (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cos.f64 im)) (exp.f64 re)))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))) (sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))))
(*.f64 (sqrt.f64 (exp.f64 re)) (*.f64 (sqrt.f64 (exp.f64 re)) (cos.f64 im)))
(*.f64 (sqrt.f64 (cos.f64 im)) (*.f64 (sqrt.f64 (cos.f64 im)) (exp.f64 re)))
(*.f64 (sqrt.f64 (cos.f64 im)) (log.f64 (pow.f64 (exp.f64 (exp.f64 re)) (sqrt.f64 (cos.f64 im)))))
(*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (exp.f64 re) (cos.f64 im))))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cos.f64 im) #s(literal 1/2 binary64)) (exp.f64 re)))
(*.f64 (*.f64 (cos.f64 im) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 re)))
(*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) (*.f64 (exp.f64 re) (cos.f64 im))))
(*.f64 (fma.f64 (cos.f64 im) #s(literal 1/2 binary64) (*.f64 (cos.f64 im) #s(literal 1/2 binary64))) (exp.f64 re))
(*.f64 (*.f64 (sqrt.f64 (exp.f64 re)) (sqrt.f64 (cos.f64 im))) (*.f64 (sqrt.f64 (exp.f64 re)) (sqrt.f64 (cos.f64 im))))
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 im) #s(literal 1/2 binary64))) (exp.f64 re))
(*.f64 (*.f64 (cos.f64 im) (pow.f64 (cbrt.f64 (exp.f64 re)) #s(literal 2 binary64))) (cbrt.f64 (exp.f64 re)))
(*.f64 (*.f64 (cos.f64 im) (sqrt.f64 (exp.f64 re))) (sqrt.f64 (exp.f64 re)))
(*.f64 (*.f64 (exp.f64 re) (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 im)))
(*.f64 (*.f64 (exp.f64 re) (sqrt.f64 (cos.f64 im))) (sqrt.f64 (cos.f64 im)))
(pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 re) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 re) #s(literal 3 binary64)) (pow.f64 (cos.f64 im) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 re) (cos.f64 im))))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 re) (cos.f64 im))))
(exp.f64 (+.f64 re (log.f64 (cos.f64 im))))
(exp.f64 (*.f64 (+.f64 re (log.f64 (cos.f64 im))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 re (log.f64 (cos.f64 im)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 re (log.f64 (cos.f64 im)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (log.f64 (cos.f64 im)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))) (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)) #s(literal 1 binary64))
(*.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))) (cbrt.f64 (pow.f64 (exp.f64 (*.f64 (exp.f64 re) #s(literal 2 binary64))) (cos.f64 im))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 (exp.f64 re) #s(literal 2 binary64))) (cos.f64 im))) (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))) (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))))
(*.f64 (pow.f64 #s(literal 1 binary64) (cos.f64 im)) (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 re))) (*.f64 #s(literal 2 binary64) (cos.f64 im))) (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 re))) (cos.f64 im)))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (exp.f64 re))) (cos.f64 im)) (pow.f64 (sqrt.f64 (exp.f64 (exp.f64 re))) (cos.f64 im)))
(/.f64 (pow.f64 (exp.f64 (exp.f64 re)) (exp.f64 (log1p.f64 (cos.f64 im)))) (exp.f64 (exp.f64 re)))
(/.f64 (pow.f64 (exp.f64 (cos.f64 im)) (exp.f64 (log1p.f64 (exp.f64 re)))) (exp.f64 (cos.f64 im)))
(/.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (exp.f64 (log1p.f64 (*.f64 (exp.f64 re) (cos.f64 im))))) (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1 binary64)))
(sqrt.f64 (pow.f64 (exp.f64 (*.f64 (exp.f64 re) #s(literal 2 binary64))) (cos.f64 im)))
(log.f64 (exp.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))))
(exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
(exp.f64 (*.f64 (exp.f64 re) (fma.f64 (cos.f64 im) #s(literal 1/2 binary64) (*.f64 (cos.f64 im) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (exp.f64 re) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 im) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (exp.f64 re) (cos.f64 im))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 (exp.f64 re) (cos.f64 im))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (exp.f64 re)) (*.f64 (cos.f64 im) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (*.f64 (cos.f64 im) #s(literal 1/2 binary64)) (exp.f64 re)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 (exp.f64 re)) (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64)))) (cbrt.f64 (cos.f64 im))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 (exp.f64 re)) (sqrt.f64 (cos.f64 im)))) (sqrt.f64 (cos.f64 im))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1 binary64))) (*.f64 (exp.f64 re) (cos.f64 im))))
(+.f64 (cos.f64 im) (*.f64 (cos.f64 im) re))
(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
(+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (*.f64 re (cos.f64 im)) (cos.f64 im))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 re #s(literal 1 binary64))) (cos.f64 im))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 re #s(literal 1 binary64))) (cos.f64 im))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 re #s(literal 1 binary64))) (cos.f64 im)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 re #s(literal 1 binary64))) (cos.f64 im)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 re #s(literal 1 binary64))) (cos.f64 im)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re))
(/.f64 (*.f64 (cos.f64 im) (fma.f64 re re #s(literal -1 binary64))) (+.f64 re #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))) (cos.f64 im)) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re))
(/.f64 (*.f64 (fma.f64 re re #s(literal -1 binary64)) (cos.f64 im)) (+.f64 re #s(literal -1 binary64)))
(pow.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 re #s(literal 1 binary64))) (cos.f64 im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 im) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))))
(exp.f64 (+.f64 (log.f64 (cos.f64 im)) (log1p.f64 re)))
(exp.f64 (*.f64 (+.f64 (log.f64 (cos.f64 im)) (log1p.f64 re)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (log.f64 (cos.f64 im)) (log1p.f64 re))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (log.f64 (cos.f64 im)) (log1p.f64 re))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 (cos.f64 im)) (log1p.f64 re))) #s(literal 2 binary64)))
(fma.f64 re (cos.f64 im) (cos.f64 im))
(fma.f64 (cos.f64 im) re (cos.f64 im))
(fma.f64 (cos.f64 im) #s(literal 1 binary64) (*.f64 (cos.f64 im) re))
(fma.f64 (cos.f64 im) #s(literal 1 binary64) (*.f64 re (cos.f64 im)))
(fma.f64 #s(literal 1 binary64) (cos.f64 im) (*.f64 (cos.f64 im) re))
(fma.f64 #s(literal 1 binary64) (cos.f64 im) (*.f64 re (cos.f64 im)))
(fma.f64 (cbrt.f64 (cos.f64 im)) (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64)) (*.f64 (cos.f64 im) re))
(fma.f64 (cbrt.f64 (cos.f64 im)) (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64)) (*.f64 re (cos.f64 im)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 im)) (*.f64 (cos.f64 im) re))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 im)) (*.f64 re (cos.f64 im)))
(fma.f64 (sqrt.f64 (cos.f64 im)) (sqrt.f64 (cos.f64 im)) (*.f64 (cos.f64 im) re))
(fma.f64 (sqrt.f64 (cos.f64 im)) (sqrt.f64 (cos.f64 im)) (*.f64 re (cos.f64 im)))

simplify211.0ms (3%)

Algorithm
egg-herbie
Rules
613×associate-+r+
584×associate-+l+
487×fmm-def
324×associate-*r*
296×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04226652
111076507
238566355
379296355
Stop Event
node limit
Counts
194 → 210
Calls
Call 1
Inputs
(cos.f64 im)
(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
(+.f64 (cos.f64 im) (*.f64 re (+.f64 (cos.f64 im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 im) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 im) #s(literal 2 binary64)))))))))))
(+.f64 (cos.f64 im) (*.f64 re (+.f64 (cos.f64 im) (*.f64 re (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -6 binary64) (*.f64 (cos.f64 im) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 im) #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 im) #s(literal 3 binary64))) (*.f64 #s(literal 6 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 im)) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (cos.f64 im) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 im) #s(literal 2 binary64)))))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 im) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 im) #s(literal 2 binary64))))))))))))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(exp.f64 re)
(+.f64 (exp.f64 re) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))))
(+.f64 (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 re)) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 (exp.f64 re) #s(literal 2 binary64))) (*.f64 #s(literal 24 binary64) (+.f64 (*.f64 #s(literal 1/24 binary64) (exp.f64 re)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (exp.f64 re) #s(literal 2 binary64)))))))))))
(+.f64 (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -30 binary64) (pow.f64 (exp.f64 re) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 360 binary64) (*.f64 (exp.f64 re) (+.f64 (*.f64 #s(literal 1/24 binary64) (exp.f64 re)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (exp.f64 re) #s(literal 2 binary64)))))) (*.f64 #s(literal 720 binary64) (+.f64 (*.f64 #s(literal -1/48 binary64) (pow.f64 (exp.f64 re) #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -1/48 binary64) (pow.f64 (exp.f64 re) #s(literal 3 binary64))) (*.f64 #s(literal -1/720 binary64) (exp.f64 re))))))))) (*.f64 #s(literal 1/24 binary64) (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 (exp.f64 re) #s(literal 2 binary64))) (*.f64 #s(literal 24 binary64) (+.f64 (*.f64 #s(literal 1/24 binary64) (exp.f64 re)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (exp.f64 re) #s(literal 2 binary64))))))))))))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(exp.f64 (cos.f64 im))
(+.f64 (exp.f64 (cos.f64 im)) (*.f64 re (*.f64 (cos.f64 im) (exp.f64 (cos.f64 im)))))
(+.f64 (exp.f64 (cos.f64 im)) (*.f64 re (+.f64 (*.f64 re (*.f64 (exp.f64 (cos.f64 im)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 im) #s(literal 2 binary64)))))) (*.f64 (cos.f64 im) (exp.f64 (cos.f64 im))))))
(+.f64 (exp.f64 (cos.f64 im)) (*.f64 re (+.f64 (*.f64 re (+.f64 (*.f64 re (*.f64 (exp.f64 (cos.f64 im)) (+.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 im)) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (cos.f64 im) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 im) #s(literal 2 binary64))))))) (*.f64 (exp.f64 (cos.f64 im)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 im) #s(literal 2 binary64))))))) (*.f64 (cos.f64 im) (exp.f64 (cos.f64 im))))))
(exp.f64 (*.f64 (cos.f64 im) (exp.f64 re)))
(exp.f64 (*.f64 (cos.f64 im) (exp.f64 re)))
(exp.f64 (*.f64 (cos.f64 im) (exp.f64 re)))
(exp.f64 (*.f64 (cos.f64 im) (exp.f64 re)))
(exp.f64 (*.f64 (cos.f64 im) (exp.f64 re)))
(exp.f64 (*.f64 (cos.f64 im) (exp.f64 re)))
(exp.f64 (*.f64 (cos.f64 im) (exp.f64 re)))
(exp.f64 (*.f64 (cos.f64 im) (exp.f64 re)))
(exp.f64 (exp.f64 re))
(+.f64 (exp.f64 (exp.f64 re)) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (exp.f64 re) (exp.f64 (exp.f64 re))))))
(+.f64 (exp.f64 (exp.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (exp.f64 re) (exp.f64 (exp.f64 re)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (exp.f64 (exp.f64 re)) (+.f64 (*.f64 #s(literal 1/24 binary64) (exp.f64 re)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (exp.f64 re) #s(literal 2 binary64)))))))))
(+.f64 (exp.f64 (exp.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (exp.f64 re) (exp.f64 (exp.f64 re)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (exp.f64 (exp.f64 re)) (+.f64 (*.f64 #s(literal 1/24 binary64) (exp.f64 re)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (exp.f64 re) #s(literal 2 binary64))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (exp.f64 (exp.f64 re)) (+.f64 (*.f64 #s(literal -1/48 binary64) (pow.f64 (exp.f64 re) #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -1/48 binary64) (pow.f64 (exp.f64 re) #s(literal 3 binary64))) (*.f64 #s(literal -1/720 binary64) (exp.f64 re)))))))))))
(exp.f64 (*.f64 (cos.f64 im) (exp.f64 re)))
(exp.f64 (*.f64 (cos.f64 im) (exp.f64 re)))
(exp.f64 (*.f64 (cos.f64 im) (exp.f64 re)))
(exp.f64 (*.f64 (cos.f64 im) (exp.f64 re)))
(exp.f64 (*.f64 (cos.f64 im) (exp.f64 re)))
(exp.f64 (*.f64 (cos.f64 im) (exp.f64 re)))
(exp.f64 (*.f64 (cos.f64 im) (exp.f64 re)))
(exp.f64 (*.f64 (cos.f64 im) (exp.f64 re)))
(cos.f64 im)
(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
(*.f64 re (cos.f64 im))
(*.f64 re (+.f64 (cos.f64 im) (/.f64 (cos.f64 im) re)))
(*.f64 re (+.f64 (cos.f64 im) (/.f64 (cos.f64 im) re)))
(*.f64 re (+.f64 (cos.f64 im) (/.f64 (cos.f64 im) re)))
(*.f64 re (cos.f64 im))
(*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 im)) (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 im) re)))))
(*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 im)) (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 im) re)))))
(*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 im)) (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 im) re)))))
(+.f64 #s(literal 1 binary64) re)
(+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re)))))
(+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) re)) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re)))))))
(+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))) (*.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) re))))))))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(+.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 (exp.f64 re) (cos.f64 im)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (exp.f64 re) (cos.f64 im)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (exp.f64 re) (cos.f64 im))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (exp.f64 re) (cos.f64 im))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (exp.f64 re) (cos.f64 im)))))
(+.f64 (*.f64 (*.f64 (cos.f64 im) #s(literal 1/2 binary64)) (exp.f64 re)) (*.f64 (*.f64 (cos.f64 im) #s(literal 1/2 binary64)) (exp.f64 re)))
(+.f64 (log.f64 (pow.f64 #s(literal 1 binary64) (cos.f64 im))) (*.f64 (exp.f64 re) (cos.f64 im)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 re))) (*.f64 #s(literal 2 binary64) (cos.f64 im)))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 re))) (cos.f64 im))))
(+.f64 (log.f64 (pow.f64 (sqrt.f64 (exp.f64 (exp.f64 re))) (cos.f64 im))) (log.f64 (pow.f64 (sqrt.f64 (exp.f64 (exp.f64 re))) (cos.f64 im))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 re) (cos.f64 im)))) #s(literal 1 binary64))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 1 binary64))
(*.f64 (*.f64 (exp.f64 re) (cos.f64 im)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 re) (cos.f64 im)))
(*.f64 (cbrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))) (pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 re)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (exp.f64 re)) (cos.f64 im)))
(*.f64 (cbrt.f64 (cos.f64 im)) (log.f64 (pow.f64 (exp.f64 (exp.f64 re)) (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cos.f64 im)) (exp.f64 re)))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))) (sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))))
(*.f64 (sqrt.f64 (exp.f64 re)) (*.f64 (sqrt.f64 (exp.f64 re)) (cos.f64 im)))
(*.f64 (sqrt.f64 (cos.f64 im)) (*.f64 (sqrt.f64 (cos.f64 im)) (exp.f64 re)))
(*.f64 (sqrt.f64 (cos.f64 im)) (log.f64 (pow.f64 (exp.f64 (exp.f64 re)) (sqrt.f64 (cos.f64 im)))))
(*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (exp.f64 re) (cos.f64 im))))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cos.f64 im) #s(literal 1/2 binary64)) (exp.f64 re)))
(*.f64 (*.f64 (cos.f64 im) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 re)))
(*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) (*.f64 (exp.f64 re) (cos.f64 im))))
(*.f64 (fma.f64 (cos.f64 im) #s(literal 1/2 binary64) (*.f64 (cos.f64 im) #s(literal 1/2 binary64))) (exp.f64 re))
(*.f64 (*.f64 (sqrt.f64 (exp.f64 re)) (sqrt.f64 (cos.f64 im))) (*.f64 (sqrt.f64 (exp.f64 re)) (sqrt.f64 (cos.f64 im))))
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 im) #s(literal 1/2 binary64))) (exp.f64 re))
(*.f64 (*.f64 (cos.f64 im) (pow.f64 (cbrt.f64 (exp.f64 re)) #s(literal 2 binary64))) (cbrt.f64 (exp.f64 re)))
(*.f64 (*.f64 (cos.f64 im) (sqrt.f64 (exp.f64 re))) (sqrt.f64 (exp.f64 re)))
(*.f64 (*.f64 (exp.f64 re) (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 im)))
(*.f64 (*.f64 (exp.f64 re) (sqrt.f64 (cos.f64 im))) (sqrt.f64 (cos.f64 im)))
(pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 re) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 re) #s(literal 3 binary64)) (pow.f64 (cos.f64 im) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 re) (cos.f64 im))))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 re) (cos.f64 im))))
(exp.f64 (+.f64 re (log.f64 (cos.f64 im))))
(exp.f64 (*.f64 (+.f64 re (log.f64 (cos.f64 im))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 re (log.f64 (cos.f64 im)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 re (log.f64 (cos.f64 im)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (log.f64 (cos.f64 im)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))) (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)) #s(literal 1 binary64))
(*.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))) (cbrt.f64 (pow.f64 (exp.f64 (*.f64 (exp.f64 re) #s(literal 2 binary64))) (cos.f64 im))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 (exp.f64 re) #s(literal 2 binary64))) (cos.f64 im))) (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))) (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))))
(*.f64 (pow.f64 #s(literal 1 binary64) (cos.f64 im)) (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 re))) (*.f64 #s(literal 2 binary64) (cos.f64 im))) (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 re))) (cos.f64 im)))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (exp.f64 re))) (cos.f64 im)) (pow.f64 (sqrt.f64 (exp.f64 (exp.f64 re))) (cos.f64 im)))
(/.f64 (pow.f64 (exp.f64 (exp.f64 re)) (exp.f64 (log1p.f64 (cos.f64 im)))) (exp.f64 (exp.f64 re)))
(/.f64 (pow.f64 (exp.f64 (cos.f64 im)) (exp.f64 (log1p.f64 (exp.f64 re)))) (exp.f64 (cos.f64 im)))
(/.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (exp.f64 (log1p.f64 (*.f64 (exp.f64 re) (cos.f64 im))))) (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1 binary64)))
(sqrt.f64 (pow.f64 (exp.f64 (*.f64 (exp.f64 re) #s(literal 2 binary64))) (cos.f64 im)))
(log.f64 (exp.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))))
(exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
(exp.f64 (*.f64 (exp.f64 re) (fma.f64 (cos.f64 im) #s(literal 1/2 binary64) (*.f64 (cos.f64 im) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (exp.f64 re) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 im) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (exp.f64 re) (cos.f64 im))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 (exp.f64 re) (cos.f64 im))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (exp.f64 re)) (*.f64 (cos.f64 im) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (*.f64 (cos.f64 im) #s(literal 1/2 binary64)) (exp.f64 re)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 (exp.f64 re)) (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64)))) (cbrt.f64 (cos.f64 im))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 (exp.f64 re)) (sqrt.f64 (cos.f64 im)))) (sqrt.f64 (cos.f64 im))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1 binary64))) (*.f64 (exp.f64 re) (cos.f64 im))))
(+.f64 (cos.f64 im) (*.f64 (cos.f64 im) re))
(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
(+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (*.f64 re (cos.f64 im)) (cos.f64 im))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 re #s(literal 1 binary64))) (cos.f64 im))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 re #s(literal 1 binary64))) (cos.f64 im))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 re #s(literal 1 binary64))) (cos.f64 im)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 re #s(literal 1 binary64))) (cos.f64 im)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 re #s(literal 1 binary64))) (cos.f64 im)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re))
(/.f64 (*.f64 (cos.f64 im) (fma.f64 re re #s(literal -1 binary64))) (+.f64 re #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))) (cos.f64 im)) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re))
(/.f64 (*.f64 (fma.f64 re re #s(literal -1 binary64)) (cos.f64 im)) (+.f64 re #s(literal -1 binary64)))
(pow.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 re #s(literal 1 binary64))) (cos.f64 im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 im) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))))
(exp.f64 (+.f64 (log.f64 (cos.f64 im)) (log1p.f64 re)))
(exp.f64 (*.f64 (+.f64 (log.f64 (cos.f64 im)) (log1p.f64 re)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (log.f64 (cos.f64 im)) (log1p.f64 re))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (log.f64 (cos.f64 im)) (log1p.f64 re))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 (cos.f64 im)) (log1p.f64 re))) #s(literal 2 binary64)))
(fma.f64 re (cos.f64 im) (cos.f64 im))
(fma.f64 (cos.f64 im) re (cos.f64 im))
(fma.f64 (cos.f64 im) #s(literal 1 binary64) (*.f64 (cos.f64 im) re))
(fma.f64 (cos.f64 im) #s(literal 1 binary64) (*.f64 re (cos.f64 im)))
(fma.f64 #s(literal 1 binary64) (cos.f64 im) (*.f64 (cos.f64 im) re))
(fma.f64 #s(literal 1 binary64) (cos.f64 im) (*.f64 re (cos.f64 im)))
(fma.f64 (cbrt.f64 (cos.f64 im)) (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64)) (*.f64 (cos.f64 im) re))
(fma.f64 (cbrt.f64 (cos.f64 im)) (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64)) (*.f64 re (cos.f64 im)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 im)) (*.f64 (cos.f64 im) re))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 im)) (*.f64 re (cos.f64 im)))
(fma.f64 (sqrt.f64 (cos.f64 im)) (sqrt.f64 (cos.f64 im)) (*.f64 (cos.f64 im) re))
(fma.f64 (sqrt.f64 (cos.f64 im)) (sqrt.f64 (cos.f64 im)) (*.f64 re (cos.f64 im)))
Outputs
(cos.f64 im)
(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(+.f64 (cos.f64 im) (*.f64 re (+.f64 (cos.f64 im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 im) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 im) #s(literal 2 binary64)))))))))))
(+.f64 (cos.f64 im) (*.f64 re (+.f64 (cos.f64 im) (*.f64 (*.f64 #s(literal 1/2 binary64) re) (fma.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 im) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 im) (pow.f64 (cos.f64 im) #s(literal 2 binary64))))))))))
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(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (exp.f64 re)) (cos.f64 im))) (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 im)) (exp.f64 re))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 im)) (*.f64 #s(literal 2 binary64) (exp.f64 re)))) (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 im)) (exp.f64 re))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 (exp.f64 re) #s(literal 2 binary64))) (cos.f64 im))) (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 im)) (exp.f64 re))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (exp.f64 re)) #s(literal 2 binary64)) (cos.f64 im))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (exp.f64 re)) (cos.f64 im))) (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 im)) (exp.f64 re))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 im)) (*.f64 #s(literal 2 binary64) (exp.f64 re)))) (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 im)) (exp.f64 re))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))) (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))))
(pow.f64 (exp.f64 (cos.f64 im)) (exp.f64 re))
(*.f64 (pow.f64 #s(literal 1 binary64) (cos.f64 im)) (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))
(pow.f64 (exp.f64 (cos.f64 im)) (exp.f64 re))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 re))) (*.f64 #s(literal 2 binary64) (cos.f64 im))) (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 re))) (cos.f64 im)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 re))) (*.f64 (cos.f64 im) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 re))) (cos.f64 im)))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (exp.f64 re))) (cos.f64 im)) (pow.f64 (sqrt.f64 (exp.f64 (exp.f64 re))) (cos.f64 im)))
(pow.f64 (sqrt.f64 (exp.f64 (exp.f64 re))) (*.f64 (cos.f64 im) #s(literal 2 binary64)))
(/.f64 (pow.f64 (exp.f64 (exp.f64 re)) (exp.f64 (log1p.f64 (cos.f64 im)))) (exp.f64 (exp.f64 re)))
(/.f64 (pow.f64 (exp.f64 (exp.f64 re)) (+.f64 (cos.f64 im) #s(literal 1 binary64))) (exp.f64 (exp.f64 re)))
(/.f64 (pow.f64 (exp.f64 (cos.f64 im)) (exp.f64 (log1p.f64 (exp.f64 re)))) (exp.f64 (cos.f64 im)))
(/.f64 (pow.f64 (exp.f64 (cos.f64 im)) (+.f64 (exp.f64 re) #s(literal 1 binary64))) (exp.f64 (cos.f64 im)))
(/.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (exp.f64 (log1p.f64 (*.f64 (exp.f64 re) (cos.f64 im))))) (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (*.f64 (cos.f64 im) (exp.f64 re))))) (E.f64))
(/.f64 (pow.f64 (E.f64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))) (E.f64))
(sqrt.f64 (pow.f64 (exp.f64 (*.f64 (exp.f64 re) #s(literal 2 binary64))) (cos.f64 im)))
(pow.f64 (exp.f64 (cos.f64 im)) (exp.f64 re))
(log.f64 (exp.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))))
(pow.f64 (exp.f64 (cos.f64 im)) (exp.f64 re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))))
(pow.f64 (exp.f64 (cos.f64 im)) (exp.f64 re))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)) #s(literal 3 binary64)))
(pow.f64 (exp.f64 (cos.f64 im)) (exp.f64 re))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))))
(pow.f64 (exp.f64 (cos.f64 im)) (exp.f64 re))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))))
(pow.f64 (exp.f64 (cos.f64 im)) (exp.f64 re))
(exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
(pow.f64 (exp.f64 (cos.f64 im)) (exp.f64 re))
(exp.f64 (*.f64 (exp.f64 re) (fma.f64 (cos.f64 im) #s(literal 1/2 binary64) (*.f64 (cos.f64 im) #s(literal 1/2 binary64)))))
(pow.f64 (exp.f64 (cos.f64 im)) (exp.f64 re))
(exp.f64 (*.f64 (exp.f64 re) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 im) #s(literal 1/2 binary64)))))
(pow.f64 (exp.f64 (cos.f64 im)) (exp.f64 re))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (exp.f64 re) (cos.f64 im))) #s(literal 3 binary64)))
(pow.f64 (exp.f64 (cos.f64 im)) (exp.f64 re))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 (exp.f64 re) (cos.f64 im))) #s(literal 1/3 binary64)))
(pow.f64 (exp.f64 (cos.f64 im)) (exp.f64 re))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (exp.f64 re)) (*.f64 (cos.f64 im) #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 (cos.f64 im)) (exp.f64 re))
(exp.f64 (*.f64 (*.f64 (*.f64 (cos.f64 im) #s(literal 1/2 binary64)) (exp.f64 re)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (cos.f64 im)) (exp.f64 re))
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 (exp.f64 re)) (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64)))) (cbrt.f64 (cos.f64 im))))
(pow.f64 (pow.f64 (exp.f64 (exp.f64 re)) (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 im)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 (exp.f64 re)) (sqrt.f64 (cos.f64 im)))) (sqrt.f64 (cos.f64 im))))
(pow.f64 (pow.f64 (exp.f64 (exp.f64 re)) (sqrt.f64 (cos.f64 im))) (sqrt.f64 (cos.f64 im)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1 binary64))) (*.f64 (exp.f64 re) (cos.f64 im))))
(pow.f64 (exp.f64 (cos.f64 im)) (exp.f64 re))
(+.f64 (cos.f64 im) (*.f64 (cos.f64 im) re))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(+.f64 (*.f64 re (cos.f64 im)) (cos.f64 im))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 re #s(literal 1 binary64))) (cos.f64 im))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 re #s(literal 1 binary64))) (cos.f64 im))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 re #s(literal 1 binary64))) (cos.f64 im)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 im)) (+.f64 re #s(literal 1 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 im)) (+.f64 re #s(literal 1 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 im)) (+.f64 re #s(literal 1 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 re #s(literal 1 binary64))) (cos.f64 im)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 re #s(literal 1 binary64))) (cos.f64 im)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 re #s(literal 1 binary64))) (cos.f64 im)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 im)) (+.f64 re #s(literal 1 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))))) #s(literal 1 binary64))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(/.f64 (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re))
(*.f64 (cos.f64 im) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re)))
(/.f64 (*.f64 (cos.f64 im) (fma.f64 re re #s(literal -1 binary64))) (+.f64 re #s(literal -1 binary64)))
(*.f64 (cos.f64 im) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))) (cos.f64 im)) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re))
(*.f64 (cos.f64 im) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re)))
(/.f64 (*.f64 (fma.f64 re re #s(literal -1 binary64)) (cos.f64 im)) (+.f64 re #s(literal -1 binary64)))
(*.f64 (cos.f64 im) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64))))
(pow.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))) #s(literal 3 binary64))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(pow.f64 (pow.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))) #s(literal 2 binary64))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 re #s(literal 1 binary64))) (cos.f64 im)))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))))))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) #s(literal 3 binary64)))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 3 binary64))))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 im) #s(literal 3 binary64))))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (cos.f64 im)) (log1p.f64 re)))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(exp.f64 (*.f64 (+.f64 (log.f64 (cos.f64 im)) (log1p.f64 re)) #s(literal 1 binary64)))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (log.f64 (cos.f64 im)) (log1p.f64 re))) #s(literal 3 binary64)))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 (log.f64 (cos.f64 im)) (log1p.f64 re))) #s(literal 1/3 binary64)))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 (cos.f64 im)) (log1p.f64 re))) #s(literal 2 binary64)))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(fma.f64 re (cos.f64 im) (cos.f64 im))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(fma.f64 (cos.f64 im) re (cos.f64 im))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(fma.f64 (cos.f64 im) #s(literal 1 binary64) (*.f64 (cos.f64 im) re))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(fma.f64 (cos.f64 im) #s(literal 1 binary64) (*.f64 re (cos.f64 im)))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 im) (*.f64 (cos.f64 im) re))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 im) (*.f64 re (cos.f64 im)))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (cos.f64 im)) (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64)) (*.f64 (cos.f64 im) re))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (cos.f64 im)) (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64)) (*.f64 re (cos.f64 im)))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 im)) (*.f64 (cos.f64 im) re))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 im)) (*.f64 re (cos.f64 im)))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (cos.f64 im)) (sqrt.f64 (cos.f64 im)) (*.f64 (cos.f64 im) re))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (cos.f64 im)) (sqrt.f64 (cos.f64 im)) (*.f64 re (cos.f64 im)))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))

eval206.0ms (3%)

Compiler

Compiled 3591 to 1797 computations (50% saved)

prune132.0ms (1.9%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New2064210
Fresh000
Picked134
Done011
Total2078215
Accuracy
100.0%
Counts
215 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.7%
(+.f64 re #s(literal 1 binary64))
28.5%
(*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)))
52.0%
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
4.1%
(*.f64 (cos.f64 im) re)
99.9%
(*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (exp.f64 re) (cos.f64 im))))
71.0%
(exp.f64 re)
51.0%
(cos.f64 im)
Compiler

Compiled 58 to 45 computations (22.4% saved)

localize240.0ms (3.5%)

Localize:

Found 6 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
100.0%
(*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)))
99.8%
(*.f64 (cos.f64 im) re)
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
99.9%
(*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (exp.f64 re) (cos.f64 im))))
99.8%
(*.f64 #s(literal 1/3 binary64) (*.f64 (exp.f64 re) (cos.f64 im)))
Compiler

Compiled 79 to 44 computations (44.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
Operation ival-mult, time spent: 28.0ms, 45.0% of total-time
Operation ival-pow, time spent: 14.0ms, 22.0% of total-time
Operation ival-cos, time spent: 8.0ms, 13.0% of total-time
Operation ival-add, time spent: 7.0ms, 11.0% of total-time
Operation const, time spent: 3.0ms, 5.0% of total-time
Operation ival-exp, time spent: 2.0ms, 3.0% of total-time

series11.0ms (0.2%)

Counts
5 → 96
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 (exp.f64 re) (cos.f64 im)))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (exp.f64 re) (cos.f64 im))))>
#<alt (*.f64 (cos.f64 im) re)>
#<alt (*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))>
Outputs
#<alt (*.f64 #s(literal 1/3 binary64) (cos.f64 im))>
#<alt (+.f64 (*.f64 #s(literal 1/3 binary64) (cos.f64 im)) (*.f64 #s(literal 1/3 binary64) (*.f64 re (cos.f64 im))))>
#<alt (+.f64 (*.f64 #s(literal 1/3 binary64) (cos.f64 im)) (*.f64 re (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re (cos.f64 im))) (*.f64 #s(literal 1/3 binary64) (cos.f64 im)))))>
#<alt (+.f64 (*.f64 #s(literal 1/3 binary64) (cos.f64 im)) (*.f64 re (+.f64 (*.f64 #s(literal 1/3 binary64) (cos.f64 im)) (*.f64 re (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 re (cos.f64 im))) (*.f64 #s(literal 1/6 binary64) (cos.f64 im)))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))>
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))>
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))>
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))>
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))>
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))>
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))>
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))>
#<alt (*.f64 #s(literal 1/3 binary64) (exp.f64 re))>
#<alt (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))) (*.f64 #s(literal 1/3 binary64) (exp.f64 re)))>
#<alt (+.f64 (*.f64 #s(literal 1/3 binary64) (exp.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (exp.f64 re)) (*.f64 #s(literal 1/72 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))))))>
#<alt (+.f64 (*.f64 #s(literal 1/3 binary64) (exp.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (exp.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2160 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))) (*.f64 #s(literal 1/72 binary64) (exp.f64 re)))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))>
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))>
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))>
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))>
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))>
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))>
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))>
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))>
#<alt (cos.f64 im)>
#<alt (+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))>
#<alt (+.f64 (cos.f64 im) (*.f64 re (+.f64 (cos.f64 im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (cos.f64 im))))))>
#<alt (+.f64 (cos.f64 im) (*.f64 re (+.f64 (cos.f64 im) (*.f64 re (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re (cos.f64 im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 im)))))))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (exp.f64 re)>
#<alt (+.f64 (exp.f64 re) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))))>
#<alt (+.f64 (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 re)) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))))))>
#<alt (+.f64 (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))) (*.f64 #s(literal 1/24 binary64) (exp.f64 re)))))))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt (*.f64 (cos.f64 im) (exp.f64 re))>
#<alt re>
#<alt (+.f64 re (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)))>
#<alt (+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) re) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)))))>
#<alt (+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)) (*.f64 #s(literal 1/24 binary64) re))))))>
#<alt (*.f64 re (cos.f64 im))>
#<alt (*.f64 re (cos.f64 im))>
#<alt (*.f64 re (cos.f64 im))>
#<alt (*.f64 re (cos.f64 im))>
#<alt (*.f64 re (cos.f64 im))>
#<alt (*.f64 re (cos.f64 im))>
#<alt (*.f64 re (cos.f64 im))>
#<alt (*.f64 re (cos.f64 im))>
#<alt (*.f64 re (cos.f64 im))>
#<alt (*.f64 re (cos.f64 im))>
#<alt (*.f64 re (cos.f64 im))>
#<alt (*.f64 re (cos.f64 im))>
#<alt (*.f64 re (cos.f64 im))>
#<alt (*.f64 re (cos.f64 im))>
#<alt (*.f64 re (cos.f64 im))>
#<alt (*.f64 re (cos.f64 im))>
#<alt (*.f64 re (cos.f64 im))>
#<alt (*.f64 re (cos.f64 im))>
#<alt (*.f64 re (cos.f64 im))>
#<alt (*.f64 re (cos.f64 im))>
#<alt (+.f64 #s(literal 1 binary64) re)>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re)))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) re)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) re)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) re)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) re)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) re)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) re)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) re)))))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) re)))))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) re)))))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) re)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) re)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) re)))))>
Calls

27 calls:

TimeVariablePointExpression
1.0ms
im
@inf
(* (+ (* -1/2 (pow im 2)) 1) (+ re 1))
1.0ms
re
@0
(* (+ (* -1/2 (pow im 2)) 1) (+ re 1))
1.0ms
im
@0
(* (+ (* -1/2 (pow im 2)) 1) (+ re 1))
0.0ms
re
@0
(* (cos im) re)
0.0ms
re
@0
(* 1/3 (* (exp re) (cos im)))

rewrite153.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
763×log1p-expm1-u
763×expm1-log1p-u
467×prod-diff
388×fma-define
220×log1p-undefine
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024114
1304114
23665114
Stop Event
node limit
Counts
5 → 148
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (*.f64 (exp.f64 re) (cos.f64 im)))
(*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (exp.f64 re) (cos.f64 im))))
(*.f64 (cos.f64 im) re)
(*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 im) (*.f64 #s(literal 1/3 binary64) (exp.f64 re))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 im) (*.f64 #s(literal 1/3 binary64) (exp.f64 re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 im) (*.f64 #s(literal 1/3 binary64) (exp.f64 re)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 im) (*.f64 #s(literal 1/3 binary64) (exp.f64 re))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 im) (*.f64 #s(literal 1/3 binary64) (exp.f64 re)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 im) (*.f64 #s(literal 1/3 binary64) (exp.f64 re))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 (cos.f64 im) (*.f64 #s(literal 1/3 binary64) (exp.f64 re)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 im) (*.f64 #s(literal 1/3 binary64) (exp.f64 re))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 im) (*.f64 #s(literal 1/3 binary64) (exp.f64 re))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 im) (*.f64 #s(literal 1/3 binary64) (exp.f64 re)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 im) (*.f64 #s(literal 1/3 binary64) (exp.f64 re)))))
(exp.f64 (+.f64 (+.f64 re (log.f64 (cos.f64 im))) (log.f64 #s(literal 1/3 binary64))))
(exp.f64 (*.f64 (+.f64 (+.f64 re (log.f64 (cos.f64 im))) (log.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 re) (cos.f64 im)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (exp.f64 re) (cos.f64 im)))))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 re) #s(literal 3 binary64)) (pow.f64 (cos.f64 im) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 re) (cos.f64 im))))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 re) (cos.f64 im))))
(exp.f64 (+.f64 re (log.f64 (cos.f64 im))))
(exp.f64 (*.f64 (+.f64 re (log.f64 (cos.f64 im))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 re (cos.f64 im)))) #s(literal 1 binary64))
(pow.f64 (*.f64 re (cos.f64 im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 re (cos.f64 im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 re (cos.f64 im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 re (cos.f64 im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 re (cos.f64 im)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 re) (cos.f64 im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 re (cos.f64 im)))))
(cbrt.f64 (pow.f64 (*.f64 re (cos.f64 im)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (cos.f64 im) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 re (cos.f64 im))))
(log1p.f64 (expm1.f64 (*.f64 re (cos.f64 im))))
(exp.f64 (log.f64 (*.f64 re (cos.f64 im))))
(exp.f64 (*.f64 (log.f64 (*.f64 re (cos.f64 im))) #s(literal 1 binary64)))
(+.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 re (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))))
(+.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (+.f64 re #s(literal 1 binary64))))
(+.f64 (*.f64 re (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (+.f64 re #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 re (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (+.f64 re #s(literal 1 binary64))) (+.f64 re #s(literal 1 binary64)))
(+.f64 (fma.f64 re (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64))
(+.f64 (fma.f64 re (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (-.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (fma.f64 re re #s(literal -1 binary64))) (*.f64 (-.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (+.f64 re #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (fma.f64 re re #s(literal 1 binary64)) re)))
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(pow.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 im (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (pow.f64 im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 im) (log.f64 #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 im) (log.f64 #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 im (sqrt.f64 #s(literal -1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 im (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(fma.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 im (sqrt.f64 #s(literal -1/2 binary64)))) (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 im (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal -1 binary64))
(fma.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))

simplify172.0ms (2.5%)

Algorithm
egg-herbie
Rules
350×associate-+r+
313×+-commutative
298×associate-+l+
262×fma-define
240×exp-prod
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
04378645
111058416
234968184
362498023
Stop Event
node limit
Counts
244 → 269
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (cos.f64 im))
(+.f64 (*.f64 #s(literal 1/3 binary64) (cos.f64 im)) (*.f64 #s(literal 1/3 binary64) (*.f64 re (cos.f64 im))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (cos.f64 im)) (*.f64 re (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re (cos.f64 im))) (*.f64 #s(literal 1/3 binary64) (cos.f64 im)))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (cos.f64 im)) (*.f64 re (+.f64 (*.f64 #s(literal 1/3 binary64) (cos.f64 im)) (*.f64 re (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 re (cos.f64 im))) (*.f64 #s(literal 1/6 binary64) (cos.f64 im)))))))
(*.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))
(*.f64 #s(literal 1/3 binary64) (exp.f64 re))
(+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))) (*.f64 #s(literal 1/3 binary64) (exp.f64 re)))
(+.f64 (*.f64 #s(literal 1/3 binary64) (exp.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (exp.f64 re)) (*.f64 #s(literal 1/72 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (exp.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (exp.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2160 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))) (*.f64 #s(literal 1/72 binary64) (exp.f64 re)))))))
(*.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))
(cos.f64 im)
(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
(+.f64 (cos.f64 im) (*.f64 re (+.f64 (cos.f64 im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (cos.f64 im))))))
(+.f64 (cos.f64 im) (*.f64 re (+.f64 (cos.f64 im) (*.f64 re (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re (cos.f64 im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 im)))))))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(exp.f64 re)
(+.f64 (exp.f64 re) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))))
(+.f64 (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 re)) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))))))
(+.f64 (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))) (*.f64 #s(literal 1/24 binary64) (exp.f64 re)))))))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
re
(+.f64 re (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) re) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)))))
(+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)) (*.f64 #s(literal 1/24 binary64) re))))))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(*.f64 re (cos.f64 im))
(+.f64 #s(literal 1 binary64) re)
(+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re)))))
(+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re)))))
(+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re)))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) re)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) re)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) re)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) re)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) re)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) re)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) re)))))
(*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) re)))))
(*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) re)))))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) re)))))
(*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) re)))))
(*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) re)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 im) (*.f64 #s(literal 1/3 binary64) (exp.f64 re))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 im) (*.f64 #s(literal 1/3 binary64) (exp.f64 re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 im) (*.f64 #s(literal 1/3 binary64) (exp.f64 re)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 im) (*.f64 #s(literal 1/3 binary64) (exp.f64 re))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 im) (*.f64 #s(literal 1/3 binary64) (exp.f64 re)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 im) (*.f64 #s(literal 1/3 binary64) (exp.f64 re))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 (cos.f64 im) (*.f64 #s(literal 1/3 binary64) (exp.f64 re)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 im) (*.f64 #s(literal 1/3 binary64) (exp.f64 re))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 im) (*.f64 #s(literal 1/3 binary64) (exp.f64 re))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 im) (*.f64 #s(literal 1/3 binary64) (exp.f64 re)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 im) (*.f64 #s(literal 1/3 binary64) (exp.f64 re)))))
(exp.f64 (+.f64 (+.f64 re (log.f64 (cos.f64 im))) (log.f64 #s(literal 1/3 binary64))))
(exp.f64 (*.f64 (+.f64 (+.f64 re (log.f64 (cos.f64 im))) (log.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 re) (cos.f64 im)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (exp.f64 re) (cos.f64 im)))))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 re) #s(literal 3 binary64)) (pow.f64 (cos.f64 im) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 re) (cos.f64 im))))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 re) (cos.f64 im))))
(exp.f64 (+.f64 re (log.f64 (cos.f64 im))))
(exp.f64 (*.f64 (+.f64 re (log.f64 (cos.f64 im))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 re (cos.f64 im)))) #s(literal 1 binary64))
(pow.f64 (*.f64 re (cos.f64 im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 re (cos.f64 im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 re (cos.f64 im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 re (cos.f64 im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 re (cos.f64 im)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 re) (cos.f64 im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 re (cos.f64 im)))))
(cbrt.f64 (pow.f64 (*.f64 re (cos.f64 im)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (cos.f64 im) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 re (cos.f64 im))))
(log1p.f64 (expm1.f64 (*.f64 re (cos.f64 im))))
(exp.f64 (log.f64 (*.f64 re (cos.f64 im))))
(exp.f64 (*.f64 (log.f64 (*.f64 re (cos.f64 im))) #s(literal 1 binary64)))
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(fma.f64 (*.f64 (cbrt.f64 (*.f64 re (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))) (cbrt.f64 (*.f64 re (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))))) (cbrt.f64 (*.f64 re (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (*.f64 re (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 re (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (sqrt.f64 re) (hypot.f64 #s(literal 1 binary64) (*.f64 im (sqrt.f64 #s(literal -1/2 binary64))))) (*.f64 (sqrt.f64 re) (hypot.f64 #s(literal 1 binary64) (*.f64 im (sqrt.f64 #s(literal -1/2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 im (sqrt.f64 #s(literal -1/2 binary64)))) (sqrt.f64 re)) (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 im (sqrt.f64 #s(literal -1/2 binary64)))) (sqrt.f64 re)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 re (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 re (hypot.f64 #s(literal 1 binary64) (*.f64 im (sqrt.f64 #s(literal -1/2 binary64))))) (hypot.f64 #s(literal 1 binary64) (*.f64 im (sqrt.f64 #s(literal -1/2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 re)) (sqrt.f64 re) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(-.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 im (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (pow.f64 im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 im) (log.f64 #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 im) (log.f64 #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 im (sqrt.f64 #s(literal -1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 im (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(fma.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 im (sqrt.f64 #s(literal -1/2 binary64)))) (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 im (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal -1 binary64))
(fma.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
Outputs
(*.f64 #s(literal 1/3 binary64) (cos.f64 im))
(+.f64 (*.f64 #s(literal 1/3 binary64) (cos.f64 im)) (*.f64 #s(literal 1/3 binary64) (*.f64 re (cos.f64 im))))
(*.f64 #s(literal 1/3 binary64) (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (cos.f64 im)) (*.f64 re (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re (cos.f64 im))) (*.f64 #s(literal 1/3 binary64) (cos.f64 im)))))
(fma.f64 #s(literal 1/3 binary64) (cos.f64 im) (*.f64 re (fma.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 im) re) (*.f64 #s(literal 1/3 binary64) (cos.f64 im)))))
(fma.f64 #s(literal 1/3 binary64) (cos.f64 im) (*.f64 re (*.f64 (cos.f64 im) (+.f64 #s(literal 1/3 binary64) (*.f64 re #s(literal 1/6 binary64))))))
(*.f64 (cos.f64 im) (+.f64 (*.f64 re (*.f64 re #s(literal 1/6 binary64))) (*.f64 #s(literal 1/3 binary64) (+.f64 re #s(literal 1 binary64)))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (cos.f64 im)) (*.f64 re (+.f64 (*.f64 #s(literal 1/3 binary64) (cos.f64 im)) (*.f64 re (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 re (cos.f64 im))) (*.f64 #s(literal 1/6 binary64) (cos.f64 im)))))))
(fma.f64 #s(literal 1/3 binary64) (cos.f64 im) (*.f64 re (fma.f64 #s(literal 1/3 binary64) (cos.f64 im) (*.f64 re (fma.f64 #s(literal 1/18 binary64) (*.f64 (cos.f64 im) re) (*.f64 (cos.f64 im) #s(literal 1/6 binary64)))))))
(fma.f64 #s(literal 1/3 binary64) (cos.f64 im) (*.f64 re (fma.f64 #s(literal 1/3 binary64) (cos.f64 im) (*.f64 re (*.f64 (cos.f64 im) (+.f64 #s(literal 1/6 binary64) (*.f64 re #s(literal 1/18 binary64))))))))
(fma.f64 re (fma.f64 re (*.f64 (cos.f64 im) (+.f64 #s(literal 1/6 binary64) (*.f64 re #s(literal 1/18 binary64)))) (*.f64 #s(literal 1/3 binary64) (cos.f64 im))) (*.f64 #s(literal 1/3 binary64) (cos.f64 im)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (cos.f64 im)) (exp.f64 re))
(*.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (cos.f64 im)) (exp.f64 re))
(*.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (cos.f64 im)) (exp.f64 re))
(*.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (cos.f64 im)) (exp.f64 re))
(*.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (cos.f64 im)) (exp.f64 re))
(*.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (cos.f64 im)) (exp.f64 re))
(*.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (cos.f64 im)) (exp.f64 re))
(*.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (cos.f64 im)) (exp.f64 re))
(*.f64 #s(literal 1/3 binary64) (exp.f64 re))
(+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))) (*.f64 #s(literal 1/3 binary64) (exp.f64 re)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (exp.f64 re) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (exp.f64 re)))
(*.f64 (exp.f64 re) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (exp.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (exp.f64 re)) (*.f64 #s(literal 1/72 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))))))
(fma.f64 #s(literal 1/3 binary64) (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (exp.f64 re) (*.f64 (*.f64 (exp.f64 re) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/72 binary64)))))
(fma.f64 #s(literal 1/3 binary64) (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (exp.f64 re) (+.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/72 binary64))))))
(fma.f64 #s(literal 1/3 binary64) (exp.f64 re) (*.f64 (*.f64 (exp.f64 re) (pow.f64 im #s(literal 2 binary64))) (+.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/72 binary64)))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (exp.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (exp.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2160 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))) (*.f64 #s(literal 1/72 binary64) (exp.f64 re)))))))
(fma.f64 #s(literal 1/3 binary64) (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 -1/2160 binary64) (*.f64 (exp.f64 re) (pow.f64 im #s(literal 2 binary64))) (*.f64 (exp.f64 re) #s(literal 1/72 binary64)))))))
(+.f64 (*.f64 (exp.f64 re) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 (*.f64 (exp.f64 re) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2160 binary64)) #s(literal 1/72 binary64))) (pow.f64 im #s(literal 4 binary64))))
(+.f64 (*.f64 (*.f64 (exp.f64 re) (+.f64 #s(literal 1/72 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2160 binary64)))) (pow.f64 im #s(literal 4 binary64))) (*.f64 (exp.f64 re) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (cos.f64 im)) (exp.f64 re))
(*.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (cos.f64 im)) (exp.f64 re))
(*.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (cos.f64 im)) (exp.f64 re))
(*.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (cos.f64 im)) (exp.f64 re))
(*.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (cos.f64 im)) (exp.f64 re))
(*.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (cos.f64 im)) (exp.f64 re))
(*.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (cos.f64 im)) (exp.f64 re))
(*.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (cos.f64 im)) (exp.f64 re))
(cos.f64 im)
(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(+.f64 (cos.f64 im) (*.f64 re (+.f64 (cos.f64 im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (cos.f64 im))))))
(+.f64 (cos.f64 im) (*.f64 re (+.f64 (cos.f64 im) (*.f64 (*.f64 (cos.f64 im) re) #s(literal 1/2 binary64)))))
(fma.f64 re (*.f64 (+.f64 (*.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64)) (cos.f64 im)) (cos.f64 im))
(*.f64 (cos.f64 im) (+.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 re (*.f64 re #s(literal 1/2 binary64)))))
(+.f64 (cos.f64 im) (*.f64 re (+.f64 (cos.f64 im) (*.f64 re (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re (cos.f64 im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 im)))))))
(+.f64 (cos.f64 im) (*.f64 re (+.f64 (cos.f64 im) (*.f64 re (fma.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 im) re) (*.f64 (cos.f64 im) #s(literal 1/2 binary64)))))))
(fma.f64 re (fma.f64 re (*.f64 (cos.f64 im) (+.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (cos.f64 im)) (cos.f64 im))
(fma.f64 re (fma.f64 re (*.f64 (cos.f64 im) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) (cos.f64 im)) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(exp.f64 re)
(+.f64 (exp.f64 re) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))))
(+.f64 (exp.f64 re) (*.f64 (*.f64 (exp.f64 re) (pow.f64 im #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (exp.f64 re))
(+.f64 (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 re)) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))))))
(+.f64 (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (exp.f64 re) (*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) (exp.f64 re)))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (exp.f64 re) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (exp.f64 re))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (exp.f64 re) (+.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)))) (exp.f64 re))
(+.f64 (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re))) (*.f64 #s(literal 1/24 binary64) (exp.f64 re)))))))
(+.f64 (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (exp.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 (exp.f64 re) (pow.f64 im #s(literal 2 binary64))) (*.f64 (exp.f64 re) #s(literal 1/24 binary64)))))))
(+.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (exp.f64 re)) (*.f64 (*.f64 (exp.f64 re) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (pow.f64 im #s(literal 4 binary64))))
(+.f64 (*.f64 (*.f64 (exp.f64 re) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/720 binary64)))) (pow.f64 im #s(literal 4 binary64))) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (exp.f64 re)))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (cos.f64 im) (exp.f64 re))
re
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(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1 binary64))))

eval143.0ms (2.1%)

Compiler

Compiled 5459 to 3904 computations (28.5% saved)

prune53.0ms (0.8%)

Pruning

11 alts after pruning (5 fresh and 6 done)

PrunedKeptTotal
New3175322
Fresh000
Picked224
Done044
Total31911330
Accuracy
100.0%
Counts
330 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.8%
(+.f64 re (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)))
27.7%
(+.f64 re #s(literal 1 binary64))
25.5%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
52.0%
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
65.6%
(*.f64 (cos.f64 im) (+.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 re (*.f64 re #s(literal 1/2 binary64)))))
4.1%
(*.f64 (cos.f64 im) re)
51.9%
(*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))))
71.0%
(exp.f64 re)
51.0%
(cos.f64 im)
3.8%
re
Compiler

Compiled 132 to 101 computations (23.5% saved)

localize198.0ms (2.8%)

Localize:

Found 9 expressions with local error:

NewAccuracyProgram
99.9%
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
99.7%
(*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))))
99.5%
(*.f64 #s(literal 1/3 binary64) (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)))
100.0%
(+.f64 re (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)))
100.0%
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re))
88.8%
(*.f64 (pow.f64 im #s(literal 2 binary64)) re)
100.0%
(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
100.0%
(+.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))
99.9%
(*.f64 (cos.f64 im) (+.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 re (*.f64 re #s(literal 1/2 binary64)))))
Compiler

Compiled 123 to 79 computations (35.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 88.0ms
Operation ival-mult, time spent: 35.0ms, 40.0% of total-time
Operation ival-pow, time spent: 19.0ms, 22.0% of total-time
Operation ival-add, time spent: 16.0ms, 18.0% of total-time
Operation ival-cos, time spent: 12.0ms, 14.0% of total-time
Operation const, time spent: 5.0ms, 6.0% of total-time

series68.0ms (1%)

Counts
7 → 105
Calls
Call 1
Inputs
#<alt (*.f64 (cos.f64 im) (+.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 re (*.f64 re #s(literal 1/2 binary64)))))>
#<alt (+.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) re)>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (+.f64 re (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)))>
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))))>
Outputs
#<alt (+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 re (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))) (*.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))))))))))>
#<alt (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (cos.f64 im)>
#<alt (+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))>
#<alt (+.f64 (cos.f64 im) (*.f64 re (+.f64 (cos.f64 im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (cos.f64 im))))))>
#<alt (+.f64 (cos.f64 im) (*.f64 re (+.f64 (cos.f64 im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (cos.f64 im))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (cos.f64 im)))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)) (/.f64 (cos.f64 im) re)))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)) (+.f64 (/.f64 (cos.f64 im) re) (/.f64 (cos.f64 im) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)) (+.f64 (/.f64 (cos.f64 im) re) (/.f64 (cos.f64 im) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (cos.f64 im)))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)) (/.f64 (cos.f64 im) re)))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 im)) (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 im) re))) re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 im))))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 im)) (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 im) re))) re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 im))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) re)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt re>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) re) (/.f64 re (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) re) (/.f64 re (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) re) (/.f64 re (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) re) (/.f64 re (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) re) (/.f64 re (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) re) (/.f64 re (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/3 binary64) (cos.f64 im))>
#<alt (+.f64 (*.f64 #s(literal 1/3 binary64) (cos.f64 im)) (*.f64 #s(literal 1/3 binary64) (*.f64 re (cos.f64 im))))>
#<alt (+.f64 (*.f64 #s(literal 1/3 binary64) (cos.f64 im)) (*.f64 #s(literal 1/3 binary64) (*.f64 re (cos.f64 im))))>
#<alt (+.f64 (*.f64 #s(literal 1/3 binary64) (cos.f64 im)) (*.f64 #s(literal 1/3 binary64) (*.f64 re (cos.f64 im))))>
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 re (cos.f64 im)))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal 1/3 binary64) (cos.f64 im)) (*.f64 #s(literal 1/3 binary64) (/.f64 (cos.f64 im) re))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal 1/3 binary64) (cos.f64 im)) (*.f64 #s(literal 1/3 binary64) (/.f64 (cos.f64 im) re))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal 1/3 binary64) (cos.f64 im)) (*.f64 #s(literal 1/3 binary64) (/.f64 (cos.f64 im) re))))>
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 re (cos.f64 im)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1/3 binary64) (cos.f64 im)) (*.f64 #s(literal -1/3 binary64) (/.f64 (cos.f64 im) re)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1/3 binary64) (cos.f64 im)) (*.f64 #s(literal -1/3 binary64) (/.f64 (cos.f64 im) re)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1/3 binary64) (cos.f64 im)) (*.f64 #s(literal -1/3 binary64) (/.f64 (cos.f64 im) re)))))>
#<alt (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) re))>
#<alt (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))) (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) re)))>
#<alt (+.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) re)) (*.f64 #s(literal 1/72 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))))))>
#<alt (+.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2160 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))) (*.f64 #s(literal 1/72 binary64) (+.f64 #s(literal 1 binary64) re)))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re)))>
#<alt (cos.f64 im)>
#<alt (+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))>
#<alt (+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))>
#<alt (+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))>
#<alt (*.f64 re (cos.f64 im))>
#<alt (*.f64 re (+.f64 (cos.f64 im) (/.f64 (cos.f64 im) re)))>
#<alt (*.f64 re (+.f64 (cos.f64 im) (/.f64 (cos.f64 im) re)))>
#<alt (*.f64 re (+.f64 (cos.f64 im) (/.f64 (cos.f64 im) re)))>
#<alt (*.f64 re (cos.f64 im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 im)) (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 im) re)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 im)) (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 im) re)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 im)) (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 im) re)))))>
#<alt (+.f64 #s(literal 1 binary64) re)>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) re)) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re)))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) re))) (*.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) re))))))))>
#<alt (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))>
#<alt (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))>
#<alt (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))>
#<alt (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))>
#<alt (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))>
#<alt (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))>
#<alt (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))>
#<alt (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))>
Calls

39 calls:

TimeVariablePointExpression
55.0ms
im
@inf
(* 1/3 (* (+ re 1) (cos im)))
1.0ms
im
@0
(* (cos im) (+ (+ re 1) (* re (* re 1/2))))
1.0ms
im
@inf
(* (cos im) (+ (+ re 1) (* re (* re 1/2))))
0.0ms
im
@0
(* 1/3 (* (+ re 1) (cos im)))
0.0ms
re
@inf
(* (cos im) (+ (+ re 1) (* re (* re 1/2))))

rewrite208.0ms (3%)

Algorithm
batch-egg-rewrite
Rules
1047×log1p-expm1-u
882×expm1-log1p-u
190×associate-*r*
151×add-cube-cbrt
150×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027211
1361193
24852193
Stop Event
node limit
Counts
7 → 181
Calls
Call 1
Inputs
(*.f64 (cos.f64 im) (+.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 re (*.f64 re #s(literal 1/2 binary64)))))
(+.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) re)
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re))
(+.f64 re (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)))
(*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))))
Outputs
(+.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) (*.f64 (cos.f64 im) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) (*.f64 (*.f64 (cos.f64 im) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (cos.f64 im) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))))
(+.f64 (*.f64 (cos.f64 im) re) (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(+.f64 (*.f64 re (cos.f64 im)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (cos.f64 im)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 im) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64)))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 im) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 im) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (*.f64 (cos.f64 im) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))) (*.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) (*.f64 (cos.f64 im) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 im) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (*.f64 (cos.f64 im) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))) (-.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) (*.f64 (cos.f64 im) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(/.f64 (*.f64 (cos.f64 im) (+.f64 (pow.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 (pow.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (+.f64 (pow.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (+.f64 re #s(literal 1 binary64))))))
(/.f64 (*.f64 (cos.f64 im) (-.f64 (pow.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 (pow.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (cos.f64 im)) (+.f64 (pow.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (+.f64 re #s(literal 1 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64))) (cos.f64 im)) (+.f64 #s(literal 1 binary64) (-.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(pow.f64 (*.f64 (cos.f64 im) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 im) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 im) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 im) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 im) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 im)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 im) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 im) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 im) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 im) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 im) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))))))
(exp.f64 (log.f64 (*.f64 (cos.f64 im) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 im) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))))) #s(literal 1 binary64)))
(fma.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)) (*.f64 (cos.f64 im) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) (*.f64 (cos.f64 im) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(fma.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im) (*.f64 (cos.f64 im) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(fma.f64 (*.f64 (cos.f64 im) (+.f64 #s(literal 1/3 binary64) (*.f64 re #s(literal 1/3 binary64)))) #s(literal 3 binary64) (*.f64 (cos.f64 im) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(fma.f64 #s(literal 3 binary64) (*.f64 (cos.f64 im) (+.f64 #s(literal 1/3 binary64) (*.f64 re #s(literal 1/3 binary64)))) (*.f64 (cos.f64 im) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))) (*.f64 (cos.f64 im) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))) (sqrt.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))) (*.f64 (cos.f64 im) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))))
(*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))))
(*.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64)))))
(*.f64 (+.f64 (pow.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 (pow.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (+.f64 re #s(literal 1 binary64)))))))
(*.f64 (-.f64 (pow.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (+.f64 re #s(literal 1 binary64))))) (+.f64 (pow.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 (pow.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))) (-.f64 (pow.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 (pow.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 (pow.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (+.f64 re #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 (pow.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 (pow.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (+.f64 re #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))) (-.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (+.f64 re #s(literal 1 binary64))))
(pow.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64)))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 re (*.f64 re #s(literal 1/2 binary64)) (+.f64 re #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (+.f64 re #s(literal 1 binary64)))
(fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 re #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 re #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (+.f64 re #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64)))
(fma.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 re)) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 re)) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(fma.f64 (*.f64 re (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 re (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 re #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 re) (sqrt.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 re (pow.f64 im #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 re (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 re (pow.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 re (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 im (sqrt.f64 re)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 re) (pow.f64 im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 re (pow.f64 im #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 re (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 re (pow.f64 im #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 re (pow.f64 im #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 re (pow.f64 im #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 re (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 re (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (*.f64 im (sqrt.f64 re)) (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 re) (pow.f64 im #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 re (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) re re))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 re (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))))) (/.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 re (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(*.f64 re (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) re re))
(*.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) re re) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) re re)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) re re)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) re re)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) re re)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) re re)) (sqrt.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) re re)))
(*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 re (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re re (*.f64 (*.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))) (-.f64 (*.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))) re)))))
(*.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 re (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(*.f64 (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) re)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re re (*.f64 (*.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))) (-.f64 (*.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))) re))) (+.f64 (*.f64 (pow.f64 (*.f64 re (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 re #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 re (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (-.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 re (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 re #s(literal 3 binary64))) (fma.f64 re re (*.f64 (*.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))) (-.f64 (*.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))) re))))
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 re (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 re #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/4 binary64)) (-.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (*.f64 re #s(literal -1/2 binary64)) (*.f64 re (pow.f64 im #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/4 binary64))) (*.f64 re (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (*.f64 re (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 re #s(literal 3 binary64)))) (neg.f64 (fma.f64 re re (*.f64 (*.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))) (-.f64 (*.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))) re)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/4 binary64)))) (neg.f64 (*.f64 re (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 re #s(literal 2 binary64))) (-.f64 (*.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))) re))
(pow.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) re re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) re re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) re re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) re re)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) re re) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) re re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) re re))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) re re) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) re re)))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) re re)))
(exp.f64 (log.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) re re)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) re re)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) re (*.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))) re)
(fma.f64 (*.f64 re (pow.f64 im #s(literal 2 binary64))) #s(literal -1/2 binary64) re)
(fma.f64 #s(literal -1/2 binary64) (*.f64 re (pow.f64 im #s(literal 2 binary64))) re)
(fma.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))) re)
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (*.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (*.f64 (*.f64 im (sqrt.f64 re)) (sqrt.f64 #s(literal -1/2 binary64))) (*.f64 (*.f64 im (sqrt.f64 re)) (sqrt.f64 #s(literal -1/2 binary64))) re)
(fma.f64 (sqrt.f64 re) (sqrt.f64 re) (*.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) re re)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 im) (+.f64 #s(literal 1/3 binary64) (*.f64 re #s(literal 1/3 binary64)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 im) (+.f64 #s(literal 1/3 binary64) (*.f64 re #s(literal 1/3 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 im) (+.f64 #s(literal 1/3 binary64) (*.f64 re #s(literal 1/3 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 im) (+.f64 #s(literal 1/3 binary64) (*.f64 re #s(literal 1/3 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 im) (+.f64 #s(literal 1/3 binary64) (*.f64 re #s(literal 1/3 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 im) (+.f64 #s(literal 1/3 binary64) (*.f64 re #s(literal 1/3 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 im) (+.f64 #s(literal 1/3 binary64) (*.f64 re #s(literal 1/3 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 im) (+.f64 #s(literal 1/3 binary64) (*.f64 re #s(literal 1/3 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 im) (+.f64 #s(literal 1/3 binary64) (*.f64 re #s(literal 1/3 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 im) (+.f64 #s(literal 1/3 binary64) (*.f64 re #s(literal 1/3 binary64))))))
(exp.f64 (log.f64 (*.f64 (cos.f64 im) (+.f64 #s(literal 1/3 binary64) (*.f64 re #s(literal 1/3 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 im) (+.f64 #s(literal 1/3 binary64) (*.f64 re #s(literal 1/3 binary64))))) #s(literal 1 binary64)))
(+.f64 (cos.f64 im) (*.f64 (cos.f64 im) re))
(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (*.f64 re (cos.f64 im)) (cos.f64 im))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (fma.f64 re re (-.f64 #s(literal 1 binary64) re)))
(/.f64 (*.f64 (cos.f64 im) (fma.f64 re re #s(literal -1 binary64))) (+.f64 re #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))) (cos.f64 im)) (fma.f64 re re (-.f64 #s(literal 1 binary64) re)))
(/.f64 (*.f64 (fma.f64 re re #s(literal -1 binary64)) (cos.f64 im)) (+.f64 re #s(literal -1 binary64)))
(pow.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 im) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))))
(exp.f64 (+.f64 (log.f64 (cos.f64 im)) (log1p.f64 re)))
(exp.f64 (*.f64 (+.f64 (log.f64 (cos.f64 im)) (log1p.f64 re)) #s(literal 1 binary64)))

simplify171.0ms (2.5%)

Algorithm
egg-herbie
Rules
535×cancel-sign-sub-inv
422×distribute-lft-neg-in
400×distribute-rgt-neg-in
392×fmm-def
361×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
053411872
1141410864
2506310599
Stop Event
node limit
Counts
286 → 323
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 re (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (+.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))))))))
(+.f64 #s(literal 1 binary64) (+.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))) (*.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))))))))))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
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re
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(pow.f64 (cbrt.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) re re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) re re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) re re)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) re re) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) re re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) re re))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) re re) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) re re)))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) re re)))
(exp.f64 (log.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) re re)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) re re)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) re (*.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))) re)
(fma.f64 (*.f64 re (pow.f64 im #s(literal 2 binary64))) #s(literal -1/2 binary64) re)
(fma.f64 #s(literal -1/2 binary64) (*.f64 re (pow.f64 im #s(literal 2 binary64))) re)
(fma.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))) re)
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (*.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (*.f64 (*.f64 im (sqrt.f64 re)) (sqrt.f64 #s(literal -1/2 binary64))) (*.f64 (*.f64 im (sqrt.f64 re)) (sqrt.f64 #s(literal -1/2 binary64))) re)
(fma.f64 (sqrt.f64 re) (sqrt.f64 re) (*.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) re re)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 im) (+.f64 #s(literal 1/3 binary64) (*.f64 re #s(literal 1/3 binary64)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 im) (+.f64 #s(literal 1/3 binary64) (*.f64 re #s(literal 1/3 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 im) (+.f64 #s(literal 1/3 binary64) (*.f64 re #s(literal 1/3 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 im) (+.f64 #s(literal 1/3 binary64) (*.f64 re #s(literal 1/3 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 im) (+.f64 #s(literal 1/3 binary64) (*.f64 re #s(literal 1/3 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 im) (+.f64 #s(literal 1/3 binary64) (*.f64 re #s(literal 1/3 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 im) (+.f64 #s(literal 1/3 binary64) (*.f64 re #s(literal 1/3 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 im) (+.f64 #s(literal 1/3 binary64) (*.f64 re #s(literal 1/3 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 im) (+.f64 #s(literal 1/3 binary64) (*.f64 re #s(literal 1/3 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 im) (+.f64 #s(literal 1/3 binary64) (*.f64 re #s(literal 1/3 binary64))))))
(exp.f64 (log.f64 (*.f64 (cos.f64 im) (+.f64 #s(literal 1/3 binary64) (*.f64 re #s(literal 1/3 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 im) (+.f64 #s(literal 1/3 binary64) (*.f64 re #s(literal 1/3 binary64))))) #s(literal 1 binary64)))
(+.f64 (cos.f64 im) (*.f64 (cos.f64 im) re))
(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (*.f64 re (cos.f64 im)) (cos.f64 im))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (fma.f64 re re (-.f64 #s(literal 1 binary64) re)))
(/.f64 (*.f64 (cos.f64 im) (fma.f64 re re #s(literal -1 binary64))) (+.f64 re #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))) (cos.f64 im)) (fma.f64 re re (-.f64 #s(literal 1 binary64) re)))
(/.f64 (*.f64 (fma.f64 re re #s(literal -1 binary64)) (cos.f64 im)) (+.f64 re #s(literal -1 binary64)))
(pow.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 im) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))))
(exp.f64 (+.f64 (log.f64 (cos.f64 im)) (log1p.f64 re)))
(exp.f64 (*.f64 (+.f64 (log.f64 (cos.f64 im)) (log1p.f64 re)) #s(literal 1 binary64)))
Outputs
(+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 re (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(+.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))))))))
(+.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (*.f64 (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/24 binary64))))))
(+.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64))))))
(+.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))) (*.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))))))))))
(+.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64))) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/24 binary64) (+.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))))))))
(+.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))))))
(+.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (cos.f64 im) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) re)))
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (cos.f64 im) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) re)))
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (cos.f64 im) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) re)))
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (cos.f64 im) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) re)))
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (cos.f64 im) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) re)))
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (cos.f64 im) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) re)))
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (cos.f64 im) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) re)))
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (cos.f64 im) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) re)))
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(cos.f64 im)
(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(+.f64 (cos.f64 im) (*.f64 re (+.f64 (cos.f64 im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (cos.f64 im))))))
(*.f64 (cos.f64 im) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) re)))
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 (cos.f64 im) (*.f64 re (+.f64 (cos.f64 im) (*.f64 #s(literal 1/2 binary64) (*.f64 re (cos.f64 im))))))
(*.f64 (cos.f64 im) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) re)))
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (cos.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)) (pow.f64 re #s(literal 2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 im)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)) (/.f64 (cos.f64 im) re)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 im) (/.f64 (cos.f64 im) re)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)) (+.f64 (/.f64 (cos.f64 im) re) (/.f64 (cos.f64 im) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 im) (/.f64 (cos.f64 im) re)) (/.f64 (cos.f64 im) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)) (+.f64 (/.f64 (cos.f64 im) re) (/.f64 (cos.f64 im) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 im) (/.f64 (cos.f64 im) re)) (/.f64 (cos.f64 im) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (cos.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)) (pow.f64 re #s(literal 2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 im)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)) (/.f64 (cos.f64 im) re)))
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(/.f64 (*.f64 (cos.f64 im) (fma.f64 re re #s(literal -1 binary64))) (+.f64 re #s(literal -1 binary64)))
(*.f64 (cos.f64 im) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))) (cos.f64 im)) (fma.f64 re re (-.f64 #s(literal 1 binary64) re)))
(*.f64 (cos.f64 im) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))) (fma.f64 re re (-.f64 #s(literal 1 binary64) re))))
(/.f64 (*.f64 (fma.f64 re re #s(literal -1 binary64)) (cos.f64 im)) (+.f64 re #s(literal -1 binary64)))
(*.f64 (cos.f64 im) (/.f64 (fma.f64 re re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64))))
(pow.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))) #s(literal 3 binary64))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(pow.f64 (pow.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))) #s(literal 2 binary64))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(log.f64 (exp.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))))))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) #s(literal 3 binary64)))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 3 binary64))))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 im) #s(literal 3 binary64))))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(exp.f64 (+.f64 (log.f64 (cos.f64 im)) (log1p.f64 re)))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(exp.f64 (*.f64 (+.f64 (log.f64 (cos.f64 im)) (log1p.f64 re)) #s(literal 1 binary64)))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))

eval159.0ms (2.3%)

Compiler

Compiled 7172 to 5148 computations (28.2% saved)

prune71.0ms (1%)

Pruning

11 alts after pruning (2 fresh and 9 done)

PrunedKeptTotal
New4152417
Fresh000
Picked235
Done066
Total41711428
Accuracy
100.0%
Counts
428 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.7%
(+.f64 re #s(literal 1 binary64))
52.0%
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
65.6%
(*.f64 (cos.f64 im) (+.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 re (*.f64 re #s(literal 1/2 binary64)))))
4.1%
(*.f64 (cos.f64 im) re)
8.4%
(*.f64 re (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
27.7%
(*.f64 #s(literal 3 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 re #s(literal 1/3 binary64))))
51.9%
(*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))))
71.0%
(exp.f64 re)
51.0%
(cos.f64 im)
3.8%
re
Compiler

Compiled 185 to 126 computations (31.9% saved)

regimes21.0ms (0.3%)

Counts
16 → 1
Calls
Call 1
Inputs
re
(+.f64 re #s(literal 1 binary64))
(*.f64 #s(literal 3 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 re #s(literal 1/3 binary64))))
(cos.f64 im)
(exp.f64 re)
(*.f64 (cos.f64 im) re)
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(*.f64 re (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 re (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))))
(*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)))
(*.f64 (cos.f64 im) (+.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 re (*.f64 re #s(literal 1/2 binary64)))))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (exp.f64 re) (cos.f64 im))))
(log.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))
Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
Calls

5 calls:

6.0ms
im
5.0ms
re
4.0ms
(cos.f64 im)
3.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
2.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
100.0%1re
100.0%1im
100.0%1(*.f64 (exp.f64 re) (cos.f64 im))
100.0%1(exp.f64 re)
100.0%1(cos.f64 im)
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes41.0ms (0.6%)

Counts
13 → 4
Calls
Call 1
Inputs
re
(+.f64 re #s(literal 1 binary64))
(*.f64 #s(literal 3 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 re #s(literal 1/3 binary64))))
(cos.f64 im)
(exp.f64 re)
(*.f64 (cos.f64 im) re)
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(*.f64 re (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 re (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))))
(*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)))
(*.f64 (cos.f64 im) (+.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 re (*.f64 re #s(literal 1/2 binary64)))))
Outputs
(exp.f64 re)
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(exp.f64 re)
(*.f64 (cos.f64 im) (+.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 re (*.f64 re #s(literal 1/2 binary64)))))
Calls

4 calls:

14.0ms
re
14.0ms
im
10.0ms
(cos.f64 im)
2.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
97.3%4re
83.5%7im
94.9%3(exp.f64 re)
82.3%4(cos.f64 im)
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes12.0ms (0.2%)

Counts
12 → 3
Calls
Call 1
Inputs
re
(+.f64 re #s(literal 1 binary64))
(*.f64 #s(literal 3 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 re #s(literal 1/3 binary64))))
(cos.f64 im)
(exp.f64 re)
(*.f64 (cos.f64 im) re)
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(*.f64 re (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 re (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))))
(*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 re #s(literal 1 binary64)))
Outputs
(exp.f64 re)
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(exp.f64 re)
Calls

2 calls:

10.0ms
re
2.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
94.9%3(exp.f64 re)
94.9%3re
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes8.0ms (0.1%)

Counts
6 → 3
Calls
Call 1
Inputs
re
(+.f64 re #s(literal 1 binary64))
(*.f64 #s(literal 3 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 re #s(literal 1/3 binary64))))
(cos.f64 im)
(exp.f64 re)
(*.f64 (cos.f64 im) re)
Outputs
(exp.f64 re)
(cos.f64 im)
(exp.f64 re)
Calls

2 calls:

6.0ms
re
1.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
94.6%3re
94.6%3(exp.f64 re)
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes7.0ms (0.1%)

Counts
4 → 1
Calls
Call 1
Inputs
re
(+.f64 re #s(literal 1 binary64))
(*.f64 #s(literal 3 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 re #s(literal 1/3 binary64))))
(cos.f64 im)
Outputs
(cos.f64 im)
Calls

3 calls:

2.0ms
im
2.0ms
re
2.0ms
(cos.f64 im)
Results
AccuracySegmentsBranch
51.0%1im
51.0%1(cos.f64 im)
51.0%1re
Compiler

Compiled 10 to 7 computations (30% saved)

regimes4.0ms (0.1%)

Counts
3 → 1
Calls
Call 1
Inputs
re
(+.f64 re #s(literal 1 binary64))
(*.f64 #s(literal 3 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 re #s(literal 1/3 binary64))))
Outputs
(+.f64 re #s(literal 1 binary64))
Calls

2 calls:

2.0ms
re
2.0ms
im
Results
AccuracySegmentsBranch
27.7%1re
27.7%1im
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
re
Outputs
re
Calls

2 calls:

1.0ms
re
1.0ms
im
Results
AccuracySegmentsBranch
3.8%1im
3.8%1re
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch59.0ms (0.9%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
1.0947949078297635e+153
9.180307815653775e+158
16.0ms
3.4723095322643368e-9
1.3274213579920613e-7
22.0ms
-0.7579414553715951
-1.1184432581789218e-8
Results
34.0ms256×256valid
18.0ms143×256infinite
0.0ms256infinite
Compiler

Compiled 416 to 320 computations (23.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
Operation ival-cos, time spent: 12.0ms, 58.0% of total-time
Operation ival-exp, time spent: 4.0ms, 19.0% of total-time
Operation ival-mult, time spent: 3.0ms, 15.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch41.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
3.4723095322643368e-9
1.3274213579920613e-7
25.0ms
-0.7579414553715951
-1.1184432581789218e-8
Results
37.0ms255×256valid
0.0ms256valid
Compiler

Compiled 236 to 185 computations (21.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
Operation ival-cos, time spent: 7.0ms, 53.0% of total-time
Operation ival-exp, time spent: 3.0ms, 23.0% of total-time
Operation ival-mult, time spent: 2.0ms, 15.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000034723096
1.0000001327421446
0.0ms
0.4686301307944239
0.9999999888155675
Compiler

Compiled 12 to 9 computations (25% saved)

simplify7.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative
if-if-or-not
1-exp
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040282
160282
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 re #s(literal -5764607523034235/576460752303423488 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 4911261142184431/37778931862957161709568 binary64)) (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) (if (<=.f64 re #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) (exp.f64 re) (*.f64 (cos.f64 im) (+.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))))))
(if (<=.f64 re #s(literal -5534023222112865/1152921504606846976 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 4911261142184431/37778931862957161709568 binary64)) (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) (exp.f64 re)))
(if (<=.f64 (exp.f64 re) #s(literal 1/2 binary64)) (exp.f64 re) (if (<=.f64 (exp.f64 re) #s(literal 4503600077730459/4503599627370496 binary64)) (cos.f64 im) (exp.f64 re)))
(cos.f64 im)
(+.f64 re #s(literal 1 binary64))
re
Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 re #s(literal -5764607523034235/576460752303423488 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 4911261142184431/37778931862957161709568 binary64)) (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) (if (<=.f64 re #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) (exp.f64 re) (*.f64 (cos.f64 im) (+.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))))))
(if (<=.f64 re #s(literal -5764607523034235/576460752303423488 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 4911261142184431/37778931862957161709568 binary64)) (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) (if (<=.f64 re #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) (exp.f64 re) (*.f64 (cos.f64 im) (+.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))))))
(if (<=.f64 re #s(literal -5534023222112865/1152921504606846976 binary64)) (exp.f64 re) (if (<=.f64 re #s(literal 4911261142184431/37778931862957161709568 binary64)) (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) (exp.f64 re)))
(if (or (<=.f64 re #s(literal -5534023222112865/1152921504606846976 binary64)) (not (<=.f64 re #s(literal 4911261142184431/37778931862957161709568 binary64)))) (exp.f64 re) (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 re) #s(literal 1/2 binary64)) (exp.f64 re) (if (<=.f64 (exp.f64 re) #s(literal 4503600077730459/4503599627370496 binary64)) (cos.f64 im) (exp.f64 re)))
(if (or (<=.f64 (exp.f64 re) #s(literal 1/2 binary64)) (not (<=.f64 (exp.f64 re) #s(literal 4503600077730459/4503599627370496 binary64)))) (exp.f64 re) (cos.f64 im))
(cos.f64 im)
(+.f64 re #s(literal 1 binary64))
re
Compiler

Compiled 91 to 62 computations (31.9% saved)

soundness689.0ms (9.9%)

Rules
826×log1p-expm1-u
826×expm1-log1p-u
809×distribute-lft-in
709×distribute-rgt-in
613×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04378645
111058416
234968184
362498023
01669
120069
2231369
01121
110121
2110521
04226652
111076507
238566355
379296355
01011328
12491267
27541237
322811222
463771219
Stop Event
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 266 to 122 computations (54.1% saved)

end0.0ms (0%)

preprocess65.0ms (0.9%)

Remove

(abs im)

Compiler

Compiled 242 to 146 computations (39.7% saved)

Profiling

Loading profile data...