math.exp on complex, real part

Time bar (total: 5.8s)

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

sample1.3s (22.5%)

Results
884.0ms6271×256valid
373.0ms1984×256infinite
0.0ms256valid
Precisions
Click to see histograms. Total time spent on operations: 648.0ms
Operation ival-cos, time spent: 364.0ms, 56.0% of total-time
Operation ival-mult, time spent: 198.0ms, 31.0% of total-time
Operation ival-exp, time spent: 78.0ms, 12.0% of total-time
Operation const, time spent: 9.0ms, 1.0% of total-time
Bogosity

preprocess122.0ms (2.1%)

Algorithm
egg-herbie
Rules
111×fma-define
30×fma-neg
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: 13.0ms, 56.0% of total-time
Operation ival-exp, time spent: 5.0ms, 21.0% 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)

prune1.0ms (0%)

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)

localize79.0ms (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: 11.0ms
Operation ival-cos, time spent: 7.0ms, 61.0% 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))

rewrite193.0ms (3.3%)

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 (1.3%)

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))

eval12.0ms (0.2%)

Compiler

Compiled 655 to 326 computations (50.2% saved)

prune11.0ms (0.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New48553
Fresh000
Picked011
Done000
Total48654
Accuracy
100.0%
Counts
54 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.4%
(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
50.4%
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
71.8%
(exp.f64 (+.f64 re (log.f64 (cos.f64 im))))
69.8%
(exp.f64 re)
50.0%
(cos.f64 im)
Compiler

Compiled 73 to 51 computations (30.1% saved)

localize493.0ms (8.5%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
99.9%
(*.f64 re (cos.f64 im))
100.0%
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
100.0%
(+.f64 re (log.f64 (cos.f64 im)))
99.9%
(exp.f64 (+.f64 re (log.f64 (cos.f64 im))))
74.6%
(log.f64 (cos.f64 im))
Compiler

Compiled 56 to 16 computations (71.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 108.0ms
Operation ival-log, time spent: 41.0ms, 38.0% of total-time
Operation ival-cos, time spent: 23.0ms, 21.0% of total-time
Operation ival-exp, time spent: 22.0ms, 20.0% of total-time
Operation ival-add, time spent: 11.0ms, 10.0% of total-time
Operation ival-mult, time spent: 8.0ms, 7.0% of total-time
Operation const, time spent: 1.0ms, 1.0% of total-time

series70.0ms (1.2%)

Counts
5 → 57
Calls
Call 1
Inputs
#<alt (log.f64 (cos.f64 im))>
#<alt (exp.f64 (+.f64 re (log.f64 (cos.f64 im))))>
#<alt (+.f64 re (log.f64 (cos.f64 im)))>
#<alt (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))>
#<alt (*.f64 re (cos.f64 im))>
Outputs
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/12 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/45 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/12 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -17/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/45 binary64))) #s(literal 1/12 binary64))) #s(literal 1/2 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 re (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 re (cos.f64 im))) (*.f64 #s(literal 1/2 binary64) (cos.f64 im)))))))>
#<alt (exp.f64 (-.f64 (log.f64 (cos.f64 im)) (*.f64 #s(literal -1 binary64) re)))>
#<alt (exp.f64 (-.f64 (log.f64 (cos.f64 im)) (*.f64 #s(literal -1 binary64) re)))>
#<alt (exp.f64 (-.f64 (log.f64 (cos.f64 im)) (*.f64 #s(literal -1 binary64) re)))>
#<alt (exp.f64 (-.f64 (log.f64 (cos.f64 im)) (*.f64 #s(literal -1 binary64) 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 (log.f64 (cos.f64 im))>
#<alt re>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (cos.f64 im)) re)))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (cos.f64 im)) re)))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (cos.f64 im)) re)))>
#<alt re>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (cos.f64 im)) re)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (cos.f64 im)) re)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (cos.f64 im)) re)) #s(literal 1 binary64))))>
#<alt re>
#<alt (+.f64 re (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/12 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/45 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/12 binary64))) #s(literal 1/2 binary64))))>
#<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))>
#<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))))))>
Calls

27 calls:

TimeVariablePointExpression
30.0ms
im
@inf
(log (cos im))
22.0ms
im
@-inf
(log (cos im))
4.0ms
im
@0
(+ re (log (cos im)))
3.0ms
re
@0
(+ re (log (cos im)))
2.0ms
im
@0
(log (cos im))

rewrite115.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
961×log1p-expm1-u
961×expm1-log1p-u
572×prod-diff
305×fma-define
172×expm1-undefine
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01694
120594
2263094
Stop Event
node limit
Counts
5 → 140
Calls
Call 1
Inputs
(log.f64 (cos.f64 im))
(exp.f64 (+.f64 re (log.f64 (cos.f64 im))))
(+.f64 re (log.f64 (cos.f64 im)))
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(*.f64 re (cos.f64 im))
Outputs
(+.f64 #s(literal 0 binary64) (log.f64 (cos.f64 im)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (cos.f64 im))))
(+.f64 (log.f64 (sqrt.f64 (cos.f64 im))) (log.f64 (sqrt.f64 (cos.f64 im))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (cos.f64 im)))) #s(literal 1 binary64))
(*.f64 (log.f64 (cos.f64 im)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 (cos.f64 im)))
(*.f64 (cbrt.f64 (log.f64 (cos.f64 im))) (pow.f64 (cbrt.f64 (log.f64 (cos.f64 im))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (cos.f64 im))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (cos.f64 im))))
(*.f64 (sqrt.f64 (log.f64 (cos.f64 im))) (sqrt.f64 (log.f64 (cos.f64 im))))
(pow.f64 (log.f64 (cos.f64 im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (cos.f64 im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (cos.f64 im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (cos.f64 im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 (cos.f64 im)) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (cos.f64 im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (cos.f64 im))))
(log1p.f64 (-.f64 (cos.f64 im) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (cos.f64 im))))
(exp.f64 (*.f64 (log.f64 (log.f64 (cos.f64 im))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 im) (exp.f64 re)))) #s(literal 1 binary64))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (*.f64 (cos.f64 im) (exp.f64 re)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 im) (exp.f64 re))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 im) (exp.f64 re))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 im) (exp.f64 re))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (cos.f64 im) (exp.f64 re))))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 im) (exp.f64 re))) (sqrt.f64 (*.f64 (cos.f64 im) (exp.f64 re))))
(*.f64 (*.f64 (exp.f64 re) #s(literal 1 binary64)) (cos.f64 im))
(*.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 (cos.f64 im) (exp.f64 re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 im) (exp.f64 re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 im) (exp.f64 re))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (+.f64 (log.f64 (cos.f64 im)) re))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 (cos.f64 im)) re)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 (log.f64 (cos.f64 im)) re)))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 (log.f64 (cos.f64 im)) re))) (sqrt.f64 (+.f64 (log.f64 (cos.f64 im)) re)))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) #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 (cos.f64 im) (exp.f64 re)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 im) (exp.f64 re))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 im) (exp.f64 re))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (log.f64 (cos.f64 im)) re))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 re (log.f64 (cos.f64 im)))) (/.f64 (pow.f64 (log.f64 (cos.f64 im)) #s(literal 2 binary64)) (-.f64 re (log.f64 (cos.f64 im)))))
(*.f64 (+.f64 (log.f64 (cos.f64 im)) re) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (log.f64 (cos.f64 im)) re))
(*.f64 (cbrt.f64 (+.f64 (log.f64 (cos.f64 im)) re)) (pow.f64 (cbrt.f64 (+.f64 (log.f64 (cos.f64 im)) re)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 (cos.f64 im)) re)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (log.f64 (cos.f64 im)) re)))
(*.f64 (sqrt.f64 (+.f64 (log.f64 (cos.f64 im)) re)) (sqrt.f64 (+.f64 (log.f64 (cos.f64 im)) re)))
(*.f64 (+.f64 (pow.f64 (log.f64 (cos.f64 im)) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (cos.f64 im)) (-.f64 (log.f64 (cos.f64 im)) re) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (log.f64 (cos.f64 im)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 re (log.f64 (cos.f64 im)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 (cos.f64 im)) (-.f64 (log.f64 (cos.f64 im)) re) (pow.f64 re #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 (cos.f64 im)) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 re (log.f64 (cos.f64 im))) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (log.f64 (cos.f64 im)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (log.f64 (cos.f64 im)) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (fma.f64 (log.f64 (cos.f64 im)) (-.f64 (log.f64 (cos.f64 im)) re) (pow.f64 re #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (log.f64 (cos.f64 im)) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (cos.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (log.f64 (cos.f64 im)) re))))
(/.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (log.f64 (cos.f64 im)) #s(literal 2 binary64))) (-.f64 re (log.f64 (cos.f64 im))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 (cos.f64 im)) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 (cos.f64 im)) (-.f64 (log.f64 (cos.f64 im)) re) (pow.f64 re #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (log.f64 (cos.f64 im)) #s(literal 2 binary64)))) (neg.f64 (-.f64 re (log.f64 (cos.f64 im)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (cos.f64 im)) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (-.f64 (log.f64 (cos.f64 im)) re))
(pow.f64 (+.f64 (log.f64 (cos.f64 im)) re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (log.f64 (cos.f64 im)) re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (log.f64 (cos.f64 im)) re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (log.f64 (cos.f64 im)) re)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (log.f64 (cos.f64 im)) re) #s(literal 2 binary64)))
(log.f64 (*.f64 (cos.f64 im) (exp.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 im) (exp.f64 re) #s(literal -1 binary64))))
(cbrt.f64 (pow.f64 (+.f64 (log.f64 (cos.f64 im)) re) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (log.f64 (cos.f64 im)) re)))
(log1p.f64 (fma.f64 (cos.f64 im) (exp.f64 re) #s(literal -1 binary64)))
(exp.f64 (log.f64 (+.f64 (log.f64 (cos.f64 im)) re)))
(exp.f64 (*.f64 (log.f64 (+.f64 (log.f64 (cos.f64 im)) re)) #s(literal 1 binary64)))
(fma.f64 (log.f64 (cos.f64 im)) #s(literal 1 binary64) re)
(fma.f64 re #s(literal 1 binary64) (log.f64 (cos.f64 im)))
(fma.f64 #s(literal 1 binary64) (log.f64 (cos.f64 im)) re)
(fma.f64 #s(literal 1 binary64) re (log.f64 (cos.f64 im)))
(fma.f64 (cbrt.f64 (log.f64 (cos.f64 im))) (pow.f64 (cbrt.f64 (log.f64 (cos.f64 im))) #s(literal 2 binary64)) re)
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (cos.f64 im))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (cos.f64 im))) re)
(fma.f64 (cbrt.f64 re) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (log.f64 (cos.f64 im)))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (log.f64 (cos.f64 im)))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 re) #s(literal 1 binary64)) (log.f64 (cos.f64 im)))
(fma.f64 (sqrt.f64 (log.f64 (cos.f64 im))) (sqrt.f64 (log.f64 (cos.f64 im))) re)
(fma.f64 (sqrt.f64 re) (sqrt.f64 re) (log.f64 (cos.f64 im)))
(fma.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 re) #s(literal 1 binary64)) (log.f64 (cos.f64 im)))
(+.f64 (cos.f64 im) (*.f64 (cos.f64 im) re))
(+.f64 (*.f64 (cos.f64 im) re) (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 (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)))
(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 re (cos.f64 im) (cos.f64 im))
(fma.f64 #s(literal 1 binary64) (cos.f64 im) (*.f64 (cos.f64 im) re))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 im) re) (cos.f64 im))
(fma.f64 (*.f64 (cos.f64 im) re) #s(literal 1 binary64) (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 (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)) (*.f64 (cbrt.f64 (cos.f64 im)) re) (cos.f64 im))
(fma.f64 (cbrt.f64 (*.f64 (cos.f64 im) re)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 im) re)) #s(literal 2 binary64)) (cos.f64 im))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 im) re)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (cos.f64 im) re)) (cos.f64 im))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 re) (cos.f64 im)) (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)) (*.f64 (sqrt.f64 (cos.f64 im)) re) (cos.f64 im))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 im) re)) (sqrt.f64 (*.f64 (cos.f64 im) re)) (cos.f64 im))
(fma.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 re) (cos.f64 im)) (cos.f64 im))
(fma.f64 (*.f64 (cos.f64 im) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re) (cos.f64 im))
(fma.f64 (*.f64 (cos.f64 im) (sqrt.f64 re)) (sqrt.f64 re) (cos.f64 im))
(fma.f64 (*.f64 re (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 im)) (cos.f64 im))
(fma.f64 (*.f64 re (sqrt.f64 (cos.f64 im))) (sqrt.f64 (cos.f64 im)) (cos.f64 im))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 im) re))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 im) re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 im) re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 im) re)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 re) (cos.f64 im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 im) re))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (cos.f64 im) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 im) re)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 im) re)))
(exp.f64 (log.f64 (*.f64 (cos.f64 im) re)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 im) re)) #s(literal 1 binary64)))

simplify180.0ms (3.1%)

Algorithm
egg-herbie
Rules
656×times-frac
454×distribute-lft-in
414×distribute-rgt-in
247×exp-prod
218×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03915882
18855606
227155357
376045357
Stop Event
node limit
Counts
197 → 223
Calls
Call 1
Inputs
(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/12 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/45 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/12 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -17/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/45 binary64))) #s(literal 1/12 binary64))) #s(literal 1/2 binary64)))
(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)))))))
(exp.f64 (-.f64 (log.f64 (cos.f64 im)) (*.f64 #s(literal -1 binary64) re)))
(exp.f64 (-.f64 (log.f64 (cos.f64 im)) (*.f64 #s(literal -1 binary64) re)))
(exp.f64 (-.f64 (log.f64 (cos.f64 im)) (*.f64 #s(literal -1 binary64) re)))
(exp.f64 (-.f64 (log.f64 (cos.f64 im)) (*.f64 #s(literal -1 binary64) 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)))))))
(log.f64 (cos.f64 im))
re
(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (cos.f64 im)) re)))
(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (cos.f64 im)) re)))
(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (cos.f64 im)) re)))
re
(*.f64 #s(literal -1 binary64) (*.f64 re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (cos.f64 im)) re)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (cos.f64 im)) re)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (cos.f64 im)) re)) #s(literal 1 binary64))))
re
(+.f64 re (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/12 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/45 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/12 binary64))) #s(literal 1/2 binary64))))
(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))
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 #s(literal 0 binary64) (log.f64 (cos.f64 im)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (cos.f64 im))))
(+.f64 (log.f64 (sqrt.f64 (cos.f64 im))) (log.f64 (sqrt.f64 (cos.f64 im))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (cos.f64 im)))) #s(literal 1 binary64))
(*.f64 (log.f64 (cos.f64 im)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 (cos.f64 im)))
(*.f64 (cbrt.f64 (log.f64 (cos.f64 im))) (pow.f64 (cbrt.f64 (log.f64 (cos.f64 im))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (cos.f64 im))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (cos.f64 im))))
(*.f64 (sqrt.f64 (log.f64 (cos.f64 im))) (sqrt.f64 (log.f64 (cos.f64 im))))
(pow.f64 (log.f64 (cos.f64 im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (cos.f64 im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (cos.f64 im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (cos.f64 im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 (cos.f64 im)) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (cos.f64 im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (cos.f64 im))))
(log1p.f64 (-.f64 (cos.f64 im) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (cos.f64 im))))
(exp.f64 (*.f64 (log.f64 (log.f64 (cos.f64 im))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 im) (exp.f64 re)))) #s(literal 1 binary64))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (*.f64 (cos.f64 im) (exp.f64 re)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 im) (exp.f64 re))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 im) (exp.f64 re))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 im) (exp.f64 re))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (cos.f64 im) (exp.f64 re))))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 im) (exp.f64 re))) (sqrt.f64 (*.f64 (cos.f64 im) (exp.f64 re))))
(*.f64 (*.f64 (exp.f64 re) #s(literal 1 binary64)) (cos.f64 im))
(*.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 (cos.f64 im) (exp.f64 re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 im) (exp.f64 re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 im) (exp.f64 re))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (+.f64 (log.f64 (cos.f64 im)) re))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 (cos.f64 im)) re)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 (log.f64 (cos.f64 im)) re)))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 (log.f64 (cos.f64 im)) re))) (sqrt.f64 (+.f64 (log.f64 (cos.f64 im)) re)))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) #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 (cos.f64 im) (exp.f64 re)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 im) (exp.f64 re))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 im) (exp.f64 re))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (log.f64 (cos.f64 im)) re))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 re (log.f64 (cos.f64 im)))) (/.f64 (pow.f64 (log.f64 (cos.f64 im)) #s(literal 2 binary64)) (-.f64 re (log.f64 (cos.f64 im)))))
(*.f64 (+.f64 (log.f64 (cos.f64 im)) re) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (log.f64 (cos.f64 im)) re))
(*.f64 (cbrt.f64 (+.f64 (log.f64 (cos.f64 im)) re)) (pow.f64 (cbrt.f64 (+.f64 (log.f64 (cos.f64 im)) re)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 (cos.f64 im)) re)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (log.f64 (cos.f64 im)) re)))
(*.f64 (sqrt.f64 (+.f64 (log.f64 (cos.f64 im)) re)) (sqrt.f64 (+.f64 (log.f64 (cos.f64 im)) re)))
(*.f64 (+.f64 (pow.f64 (log.f64 (cos.f64 im)) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (cos.f64 im)) (-.f64 (log.f64 (cos.f64 im)) re) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (log.f64 (cos.f64 im)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 re (log.f64 (cos.f64 im)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 (cos.f64 im)) (-.f64 (log.f64 (cos.f64 im)) re) (pow.f64 re #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 (cos.f64 im)) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 re (log.f64 (cos.f64 im))) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (log.f64 (cos.f64 im)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (log.f64 (cos.f64 im)) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (fma.f64 (log.f64 (cos.f64 im)) (-.f64 (log.f64 (cos.f64 im)) re) (pow.f64 re #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (log.f64 (cos.f64 im)) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (cos.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (log.f64 (cos.f64 im)) re))))
(/.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (log.f64 (cos.f64 im)) #s(literal 2 binary64))) (-.f64 re (log.f64 (cos.f64 im))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 (cos.f64 im)) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 (cos.f64 im)) (-.f64 (log.f64 (cos.f64 im)) re) (pow.f64 re #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (log.f64 (cos.f64 im)) #s(literal 2 binary64)))) (neg.f64 (-.f64 re (log.f64 (cos.f64 im)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (cos.f64 im)) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (-.f64 (log.f64 (cos.f64 im)) re))
(pow.f64 (+.f64 (log.f64 (cos.f64 im)) re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (log.f64 (cos.f64 im)) re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (log.f64 (cos.f64 im)) re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (log.f64 (cos.f64 im)) re)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (log.f64 (cos.f64 im)) re) #s(literal 2 binary64)))
(log.f64 (*.f64 (cos.f64 im) (exp.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 im) (exp.f64 re) #s(literal -1 binary64))))
(cbrt.f64 (pow.f64 (+.f64 (log.f64 (cos.f64 im)) re) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (log.f64 (cos.f64 im)) re)))
(log1p.f64 (fma.f64 (cos.f64 im) (exp.f64 re) #s(literal -1 binary64)))
(exp.f64 (log.f64 (+.f64 (log.f64 (cos.f64 im)) re)))
(exp.f64 (*.f64 (log.f64 (+.f64 (log.f64 (cos.f64 im)) re)) #s(literal 1 binary64)))
(fma.f64 (log.f64 (cos.f64 im)) #s(literal 1 binary64) re)
(fma.f64 re #s(literal 1 binary64) (log.f64 (cos.f64 im)))
(fma.f64 #s(literal 1 binary64) (log.f64 (cos.f64 im)) re)
(fma.f64 #s(literal 1 binary64) re (log.f64 (cos.f64 im)))
(fma.f64 (cbrt.f64 (log.f64 (cos.f64 im))) (pow.f64 (cbrt.f64 (log.f64 (cos.f64 im))) #s(literal 2 binary64)) re)
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (cos.f64 im))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (cos.f64 im))) re)
(fma.f64 (cbrt.f64 re) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (log.f64 (cos.f64 im)))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (log.f64 (cos.f64 im)))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 re) #s(literal 1 binary64)) (log.f64 (cos.f64 im)))
(fma.f64 (sqrt.f64 (log.f64 (cos.f64 im))) (sqrt.f64 (log.f64 (cos.f64 im))) re)
(fma.f64 (sqrt.f64 re) (sqrt.f64 re) (log.f64 (cos.f64 im)))
(fma.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 re) #s(literal 1 binary64)) (log.f64 (cos.f64 im)))
(+.f64 (cos.f64 im) (*.f64 (cos.f64 im) re))
(+.f64 (*.f64 (cos.f64 im) re) (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 (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)))
(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 re (cos.f64 im) (cos.f64 im))
(fma.f64 #s(literal 1 binary64) (cos.f64 im) (*.f64 (cos.f64 im) re))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 im) re) (cos.f64 im))
(fma.f64 (*.f64 (cos.f64 im) re) #s(literal 1 binary64) (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 (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)) (*.f64 (cbrt.f64 (cos.f64 im)) re) (cos.f64 im))
(fma.f64 (cbrt.f64 (*.f64 (cos.f64 im) re)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 im) re)) #s(literal 2 binary64)) (cos.f64 im))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 im) re)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (cos.f64 im) re)) (cos.f64 im))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 re) (cos.f64 im)) (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)) (*.f64 (sqrt.f64 (cos.f64 im)) re) (cos.f64 im))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 im) re)) (sqrt.f64 (*.f64 (cos.f64 im) re)) (cos.f64 im))
(fma.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 re) (cos.f64 im)) (cos.f64 im))
(fma.f64 (*.f64 (cos.f64 im) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re) (cos.f64 im))
(fma.f64 (*.f64 (cos.f64 im) (sqrt.f64 re)) (sqrt.f64 re) (cos.f64 im))
(fma.f64 (*.f64 re (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 im)) (cos.f64 im))
(fma.f64 (*.f64 re (sqrt.f64 (cos.f64 im))) (sqrt.f64 (cos.f64 im)) (cos.f64 im))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 im) re))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 im) re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 im) re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 im) re)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 re) (cos.f64 im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 im) re))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (cos.f64 im) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 im) re)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 im) re)))
(exp.f64 (log.f64 (*.f64 (cos.f64 im) re)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 im) re)) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/12 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/12 binary64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/45 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/12 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/45 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/12 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/45 binary64) #s(literal -1/12 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -17/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/45 binary64))) #s(literal 1/12 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -17/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/45 binary64)) #s(literal -1/12 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -17/2520 binary64) #s(literal -1/45 binary64)) #s(literal -1/12 binary64)) #s(literal -1/2 binary64)))
(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 (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 #s(literal 1/2 binary64) re) #s(literal 1 binary64)) (cos.f64 im)) (cos.f64 im))
(*.f64 (cos.f64 im) (+.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 re (*.f64 #s(literal 1/2 binary64) re))))
(+.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 #s(literal 1/2 binary64) (cos.f64 im)))))))
(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))
(exp.f64 (-.f64 (log.f64 (cos.f64 im)) (*.f64 #s(literal -1 binary64) re)))
(exp.f64 (+.f64 re (log.f64 (cos.f64 im))))
(*.f64 (cos.f64 im) (exp.f64 re))
(exp.f64 (-.f64 (log.f64 (cos.f64 im)) (*.f64 #s(literal -1 binary64) re)))
(exp.f64 (+.f64 re (log.f64 (cos.f64 im))))
(*.f64 (cos.f64 im) (exp.f64 re))
(exp.f64 (-.f64 (log.f64 (cos.f64 im)) (*.f64 #s(literal -1 binary64) re)))
(exp.f64 (+.f64 re (log.f64 (cos.f64 im))))
(*.f64 (cos.f64 im) (exp.f64 re))
(exp.f64 (-.f64 (log.f64 (cos.f64 im)) (*.f64 #s(literal -1 binary64) re)))
(exp.f64 (+.f64 re (log.f64 (cos.f64 im))))
(*.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 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (exp.f64 re)))
(*.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (exp.f64 re) (+.f64 (*.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 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)) #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 (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 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)) (*.f64 (exp.f64 re) #s(literal 1/24 binary64)))))))
(fma.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)) (*.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 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (exp.f64 re) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/720 binary64)))) (*.f64 #s(literal -1/2 binary64) (exp.f64 re))) (exp.f64 re))
(log.f64 (cos.f64 im))
re
(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (cos.f64 im)) re)))
(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (cos.f64 im)) re)))
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(exp.f64 (log.f64 (*.f64 (cos.f64 im) re)))
(*.f64 (cos.f64 im) re)
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 im) re)) #s(literal 1 binary64)))
(*.f64 (cos.f64 im) re)

eval172.0ms (3%)

Compiler

Compiled 2736 to 1395 computations (49% saved)

prune206.0ms (3.6%)

Pruning

11 alts after pruning (5 fresh and 6 done)

PrunedKeptTotal
New2185223
Fresh000
Picked055
Done011
Total21811229
Accuracy
100.0%
Counts
229 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.4%
(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
27.9%
(+.f64 re #s(literal 1 binary64))
30.0%
(*.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)))
50.4%
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
99.4%
(*.f64 (*.f64 (exp.f64 re) (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 im)))
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
61.2%
(*.f64 (cos.f64 im) (+.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 re (*.f64 #s(literal 1/2 binary64) re))))
3.8%
(*.f64 (cos.f64 im) re)
71.8%
(exp.f64 (+.f64 re (log.f64 (cos.f64 im))))
69.8%
(exp.f64 re)
50.0%
(cos.f64 im)
Compiler

Compiled 144 to 104 computations (27.8% saved)

localize407.0ms (7%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 re (*.f64 #s(literal 1/2 binary64) re)))
99.9%
(*.f64 (cos.f64 im) (+.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 re (*.f64 #s(literal 1/2 binary64) re))))
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)
99.8%
(*.f64 (*.f64 (exp.f64 re) (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 im)))
99.6%
(pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64))
99.5%
(cbrt.f64 (cos.f64 im))
Compiler

Compiled 123 to 68 computations (44.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 169.0ms
Operation ival-mult, time spent: 123.0ms, 73.0% of total-time
Operation ival-pow, time spent: 17.0ms, 10.0% of total-time
Operation ival-add, time spent: 13.0ms, 8.0% of total-time
Operation ival-cos, time spent: 7.0ms, 4.0% of total-time
Operation const, time spent: 4.0ms, 2.0% of total-time
Operation ival-exp, time spent: 2.0ms, 1.0% of total-time
Operation ival-cbrt, time spent: 2.0ms, 1.0% of total-time

series35.0ms (0.6%)

Counts
8 → 124
Calls
Call 1
Inputs
#<alt (cbrt.f64 (cos.f64 im))>
#<alt (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64))>
#<alt (*.f64 (*.f64 (exp.f64 re) (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64))) (cbrt.f64 (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)))>
#<alt (*.f64 (cos.f64 im) (+.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 re (*.f64 #s(literal 1/2 binary64) re))))>
#<alt (+.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 re (*.f64 #s(literal 1/2 binary64) re)))>
Outputs
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/72 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -23/6480 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/72 binary64))) #s(literal 1/6 binary64))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/405 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/3 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -1/1701 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/405 binary64))) #s(literal 1/3 binary64))))>
#<alt (cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)))>
#<alt (cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)))>
#<alt (cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)))>
#<alt (cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)))>
#<alt (cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)))>
#<alt (cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)))>
#<alt (cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)))>
#<alt (cbrt.f64 (pow.f64 (cos.f64 im) #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 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)))))>
#<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))))))>
Calls

36 calls:

TimeVariablePointExpression
9.0ms
im
@-inf
(* -1/2 (pow im 2))
4.0ms
im
@inf
(cbrt (cos im))
2.0ms
im
@inf
(pow (cbrt (cos im)) 2)
2.0ms
im
@-inf
(pow (cbrt (cos im)) 2)
2.0ms
im
@-inf
(cbrt (cos im))

rewrite192.0ms (3.3%)

Algorithm
batch-egg-rewrite
Rules
1169×log1p-expm1-u
396×expm1-log1p-u
205×associate-*r*
183×add-exp-log
182×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028198
1417190
25640190
Stop Event
node limit
Counts
8 → 198
Calls
Call 1
Inputs
(cbrt.f64 (cos.f64 im))
(pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64))
(*.f64 (*.f64 (exp.f64 re) (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64))) (cbrt.f64 (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)))
(*.f64 (cos.f64 im) (+.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 re (*.f64 #s(literal 1/2 binary64) re))))
(+.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 re (*.f64 #s(literal 1/2 binary64) re)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 im)))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (cos.f64 im)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (cos.f64 im)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 im))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (cos.f64 im))))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 im))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 im))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cos.f64 im) #s(literal 1/6 binary64)) (pow.f64 (cos.f64 im) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (cos.f64 im)))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 im)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (cos.f64 im)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 im))) #s(literal 2 binary64))))
(pow.f64 (cos.f64 im) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 im) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64)))
(fabs.f64 (cbrt.f64 (cos.f64 im)))
(log.f64 (exp.f64 (cbrt.f64 (cos.f64 im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (cos.f64 im)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 im))))
(log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 im))))
(exp.f64 (log.f64 (cbrt.f64 (cos.f64 im))))
(exp.f64 (*.f64 (log.f64 (cos.f64 im)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 im))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (cos.f64 im)) (cbrt.f64 (cos.f64 im)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 im))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 im))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 im))) (cbrt.f64 (cos.f64 im))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 im))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (cos.f64 im)) (pow.f64 (cos.f64 im) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (cos.f64 im) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (cos.f64 im) #s(literal 1/6 binary64)) (cbrt.f64 (cos.f64 im))))
(*.f64 (*.f64 (cbrt.f64 (cos.f64 im)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 im))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (cos.f64 im))))
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (cos.f64 im)))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (cos.f64 im)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 im) (exp.f64 re)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 im) (exp.f64 re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 im) (exp.f64 re))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) #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 (cos.f64 im) (exp.f64 re)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (cos.f64 im) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64)) (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 (cos.f64 im) (exp.f64 re))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 im) (exp.f64 re))))
(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 (cos.f64 im) re))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 im) re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 im) re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 im) re)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 re) (cos.f64 im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 im) re))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 im) re) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (cos.f64 im) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 im) re)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 im) re)))
(exp.f64 (log.f64 (*.f64 (cos.f64 im) re)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 im) re)) #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 (+.f64 (*.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 (+.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)) (*.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 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (+.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) (fma.f64 re re (-.f64 #s(literal 1 binary64) re))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 re re #s(literal -1 binary64))) (*.f64 (+.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)) (-.f64 #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 (*.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)) (fma.f64 re re (-.f64 #s(literal 1 binary64) re))))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 re re #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 #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64)))) (*.f64 (fma.f64 re re (-.f64 #s(literal 1 binary64) re)) (+.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 re re (-.f64 #s(literal 1 binary64) re)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 re re #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64)))) (*.f64 (+.f64 re #s(literal -1 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(/.f64 (*.f64 (fma.f64 re re #s(literal -1 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64))) (*.f64 (+.f64 re #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 re (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 re (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 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 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 (*.f64 re (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)))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 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 (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (+.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 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 re re #s(literal -1 binary64))) (+.f64 re #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64)))) (+.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(/.f64 (*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 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 binary64) (*.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (+.f64 re #s(literal 1 binary64))) (+.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (+.f64 re #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 binary64) (pow.f64 re #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 re re (-.f64 #s(literal 1 binary64) re)))
(/.f64 (*.f64 (fma.f64 re re #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 re #s(literal -1 binary64)))
(pow.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))
(pow.f64 (cbrt.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 3 binary64))
(pow.f64 (pow.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 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.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 2 binary64))
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(log.f64 (pow.f64 (exp.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))))
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(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 (sqrt.f64 (+.f64 re #s(literal 1 binary64))) (sqrt.f64 (+.f64 re #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 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)))))

simplify276.0ms (4.8%)

Algorithm
egg-herbie
Rules
914×times-frac
411×fma-define
404×fma-neg
395×associate-*r*
341×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
061813278
1163411814
2575311781
Stop Event
node limit
Counts
322 → 362
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/72 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -23/6480 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/72 binary64))) #s(literal 1/6 binary64))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/405 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/3 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -1/1701 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/405 binary64))) #s(literal 1/3 binary64))))
(cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)))
(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 #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))))))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (+.f64 re (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(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 #s(literal 1/2 binary64) (*.f64 re (cos.f64 im))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 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)) (+.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 (*.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 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 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)) (+.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))))
(*.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))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) re)
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))
(*.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))))))
(*.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))))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))
(*.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))))))
(*.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))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 im)))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (cos.f64 im)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (cos.f64 im)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 im))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (cos.f64 im))))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 im))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 im))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cos.f64 im) #s(literal 1/6 binary64)) (pow.f64 (cos.f64 im) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (cos.f64 im)))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 im)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (cos.f64 im)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 im))) #s(literal 2 binary64))))
(pow.f64 (cos.f64 im) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 im) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64)))
(fabs.f64 (cbrt.f64 (cos.f64 im)))
(log.f64 (exp.f64 (cbrt.f64 (cos.f64 im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (cos.f64 im)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 im))))
(log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 im))))
(exp.f64 (log.f64 (cbrt.f64 (cos.f64 im))))
(exp.f64 (*.f64 (log.f64 (cos.f64 im)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 im))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (cos.f64 im)) (cbrt.f64 (cos.f64 im)))
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(/.f64 (-.f64 (*.f64 (*.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) (*.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)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 3 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 re (-.f64 #s(literal 1 binary64) (*.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)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 3 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 re (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(pow.f64 (*.f64 (cos.f64 im) (fma.f64 re (*.f64 re #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 re (*.f64 re #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 re (*.f64 re #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 re (*.f64 re #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 re (*.f64 re #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 re (*.f64 re #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 re (*.f64 re #s(literal 1/2 binary64)) (+.f64 re #s(literal 1 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 im) (fma.f64 re (*.f64 re #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 re (*.f64 re #s(literal 1/2 binary64)) (+.f64 re #s(literal 1 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 re (*.f64 re #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 re (*.f64 re #s(literal 1/2 binary64)) (+.f64 re #s(literal 1 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 im) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) (+.f64 re #s(literal 1 binary64))))))
(exp.f64 (log.f64 (*.f64 (cos.f64 im) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) (+.f64 re #s(literal 1 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 im) (fma.f64 re (*.f64 re #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 (+.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)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 re (*.f64 re #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 re (-.f64 #s(literal 1 binary64) (*.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 re (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))))
(*.f64 #s(literal 1 binary64) (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) (+.f64 re #s(literal 1 binary64))))
(*.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) (+.f64 re #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) (+.f64 re #s(literal 1 binary64)))) (cbrt.f64 (pow.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) (+.f64 re #s(literal 1 binary64))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) (+.f64 re #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) (+.f64 re #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) (+.f64 re #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 re (*.f64 re #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)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 3 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 re (-.f64 #s(literal 1 binary64) (*.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)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 re (-.f64 #s(literal 1 binary64) (*.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)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 3 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)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 3 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 re (-.f64 #s(literal 1 binary64) (*.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)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 3 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 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 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 re (*.f64 re #s(literal 1/2 binary64)) (+.f64 re #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) (+.f64 re #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 re (*.f64 re #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 re (*.f64 re #s(literal 1/2 binary64)) (+.f64 re #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) (+.f64 re #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) (+.f64 re #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) (+.f64 re #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) (+.f64 re #s(literal 1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) (+.f64 re #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) (+.f64 re #s(literal 1 binary64)))))
(exp.f64 (log.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) (+.f64 re #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 re (*.f64 re #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 (cbrt.f64 (pow.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 (sqrt.f64 (+.f64 re #s(literal 1 binary64))) (sqrt.f64 (+.f64 re #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 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)))))
Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/72 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/72 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/72 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -23/6480 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/72 binary64))) #s(literal 1/6 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -23/6480 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/72 binary64)) #s(literal -1/6 binary64))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -23/6480 binary64) #s(literal -1/72 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/405 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/3 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/405 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/3 binary64))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/405 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -1/1701 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/405 binary64))) #s(literal 1/3 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal -1/1701 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/405 binary64)) #s(literal -1/3 binary64))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/1701 binary64) #s(literal -1/405 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 2 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) (*.f64 re (+.f64 (cos.f64 im) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 im) re)))))
(*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
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(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1 binary64)) re) (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 2 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 re (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #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 #s(literal 1 binary64) re) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (neg.f64 re))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 2 binary64))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1 binary64)) re))
(/.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 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 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (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)))) re))))
(/.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)) re) (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 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 (-.f64 re #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(/.f64 (*.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 re (fma.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)))) (-.f64 re (fma.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 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))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #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 #s(literal 1 binary64) re) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (neg.f64 re))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 2 binary64))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1 binary64)) re))
(pow.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) (+.f64 re #s(literal 1 binary64))) #s(literal 1 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))
(pow.f64 (cbrt.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) (+.f64 re #s(literal 1 binary64)))) #s(literal 3 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))
(pow.f64 (pow.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) (+.f64 re #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 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))
(pow.f64 (sqrt.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) (+.f64 re #s(literal 1 binary64)))) #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))
(sqrt.f64 (pow.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) (+.f64 re #s(literal 1 binary64))) #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))
(log.f64 (exp.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) (+.f64 re #s(literal 1 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))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) (+.f64 re #s(literal 1 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))
(cbrt.f64 (pow.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) (+.f64 re #s(literal 1 binary64))) #s(literal 3 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))
(expm1.f64 (log1p.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) (+.f64 re #s(literal 1 binary64)))))
(expm1.f64 (log1p.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) re))))
(expm1.f64 (log1p.f64 (fma.f64 re (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) (+.f64 re #s(literal 1 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))
(exp.f64 (log.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) (+.f64 re #s(literal 1 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))
(exp.f64 (*.f64 (log.f64 (fma.f64 re (*.f64 re #s(literal 1/2 binary64)) (+.f64 re #s(literal 1 binary64)))) #s(literal 1 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))
(fma.f64 re (*.f64 re #s(literal 1/2 binary64)) (+.f64 re #s(literal 1 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))
(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)))))
(+.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))
(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))))
(+.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))
(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)))
(+.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))
(fma.f64 (*.f64 re #s(literal 1/2 binary64)) re (+.f64 re #s(literal 1 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))
(fma.f64 (cbrt.f64 (pow.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 (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 2 binary64))) (cbrt.f64 (+.f64 #s(literal 1 binary64) re)) (*.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)))
(+.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))
(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)))))
(+.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))
(fma.f64 (sqrt.f64 (+.f64 re #s(literal 1 binary64))) (sqrt.f64 (+.f64 re #s(literal 1 binary64))) (*.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))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (+.f64 re #s(literal 1 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))
(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 (+.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))

eval311.0ms (5.4%)

Compiler

Compiled 7412 to 4964 computations (33% saved)

prune66.0ms (1.1%)

Pruning

14 alts after pruning (4 fresh and 10 done)

PrunedKeptTotal
New3934397
Fresh000
Picked145
Done066
Total39414408
Accuracy
100.0%
Counts
408 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.4%
(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
27.9%
(+.f64 re #s(literal 1 binary64))
28.8%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
11.7%
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 re #s(literal -1/2 binary64))))
50.4%
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
99.4%
(*.f64 (*.f64 (exp.f64 re) (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 im)))
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
61.2%
(*.f64 (cos.f64 im) (+.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 re (*.f64 #s(literal 1/2 binary64) re))))
3.8%
(*.f64 (cos.f64 im) re)
71.8%
(exp.f64 (+.f64 re (log.f64 (cos.f64 im))))
69.8%
(exp.f64 re)
50.0%
(cos.f64 im)
99.8%
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 re) #s(literal 3 binary64)) (pow.f64 (cos.f64 im) #s(literal 3 binary64))))
3.5%
re
Compiler

Compiled 114 to 84 computations (26.3% saved)

localize178.0ms (3.1%)

Localize:

Found 6 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
93.5%
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 re #s(literal -1/2 binary64))))
100.0%
(*.f64 (pow.f64 (exp.f64 re) #s(literal 3 binary64)) (pow.f64 (cos.f64 im) #s(literal 3 binary64)))
100.0%
(pow.f64 (exp.f64 re) #s(literal 3 binary64))
99.7%
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 re) #s(literal 3 binary64)) (pow.f64 (cos.f64 im) #s(literal 3 binary64))))
99.4%
(pow.f64 (cos.f64 im) #s(literal 3 binary64))
Compiler

Compiled 81 to 53 computations (34.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 90.0ms
Operation ival-pow, time spent: 55.0ms, 61.0% of total-time
Operation ival-mult, time spent: 14.0ms, 16.0% of total-time
Operation ival-cos, time spent: 7.0ms, 8.0% of total-time
Operation const, time spent: 6.0ms, 7.0% of total-time
Operation ival-add, time spent: 4.0ms, 4.0% of total-time
Operation ival-exp, time spent: 2.0ms, 2.0% of total-time
Operation ival-cbrt, time spent: 2.0ms, 2.0% of total-time

series17.0ms (0.3%)

Counts
5 → 80
Calls
Call 1
Inputs
#<alt (pow.f64 (cos.f64 im) #s(literal 3 binary64))>
#<alt (cbrt.f64 (*.f64 (pow.f64 (exp.f64 re) #s(literal 3 binary64)) (pow.f64 (cos.f64 im) #s(literal 3 binary64))))>
#<alt (pow.f64 (exp.f64 re) #s(literal 3 binary64))>
#<alt (*.f64 (pow.f64 (exp.f64 re) #s(literal 3 binary64)) (pow.f64 (cos.f64 im) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 re #s(literal -1/2 binary64))))>
Outputs
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 7/8 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 3/2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 7/8 binary64) (*.f64 #s(literal -61/240 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 3/2 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 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 #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) re))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 9/2 binary64) re))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 3 binary64) (*.f64 re (+.f64 #s(literal 9/2 binary64) (*.f64 #s(literal 9/2 binary64) re))))))>
#<alt (pow.f64 (cos.f64 im) #s(literal 3 binary64))>
#<alt (+.f64 (*.f64 #s(literal 3 binary64) (*.f64 re (pow.f64 (cos.f64 im) #s(literal 3 binary64)))) (pow.f64 (cos.f64 im) #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 re (+.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (cos.f64 im) #s(literal 3 binary64))) (*.f64 #s(literal 9/2 binary64) (*.f64 re (pow.f64 (cos.f64 im) #s(literal 3 binary64)))))) (pow.f64 (cos.f64 im) #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 re (+.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (cos.f64 im) #s(literal 3 binary64))) (*.f64 re (+.f64 (*.f64 #s(literal 9/2 binary64) (*.f64 re (pow.f64 (cos.f64 im) #s(literal 3 binary64)))) (*.f64 #s(literal 9/2 binary64) (pow.f64 (cos.f64 im) #s(literal 3 binary64))))))) (pow.f64 (cos.f64 im) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 re) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 re) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 re) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 re) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 re) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 re) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 re) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 re) #s(literal 3 binary64)))>
#<alt (pow.f64 (exp.f64 re) #s(literal 3 binary64))>
#<alt (+.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (exp.f64 re) #s(literal 3 binary64)))) (pow.f64 (exp.f64 re) #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3/2 binary64) (pow.f64 (exp.f64 re) #s(literal 3 binary64))) (*.f64 #s(literal 7/8 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (exp.f64 re) #s(literal 3 binary64)))))) (pow.f64 (exp.f64 re) #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3/2 binary64) (pow.f64 (exp.f64 re) #s(literal 3 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -61/240 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (exp.f64 re) #s(literal 3 binary64)))) (*.f64 #s(literal 7/8 binary64) (pow.f64 (exp.f64 re) #s(literal 3 binary64))))))) (pow.f64 (exp.f64 re) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 re) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 re) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 re) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 re) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 re) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 re) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 re) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 re) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re)) (*.f64 #s(literal -1/2 binary64) (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 re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (*.f64 #s(literal -1/2 binary64) (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 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (*.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) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (*.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) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))>
Calls

24 calls:

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

rewrite288.0ms (5%)

Algorithm
batch-egg-rewrite
Rules
685×log1p-expm1-u
685×expm1-log1p-u
659×log-prod
316×prod-diff
244×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021107
1280103
23338103
Stop Event
node limit
Counts
5 → 154
Calls
Call 1
Inputs
(pow.f64 (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))))
(pow.f64 (exp.f64 re) #s(literal 3 binary64))
(*.f64 (pow.f64 (exp.f64 re) #s(literal 3 binary64)) (pow.f64 (cos.f64 im) #s(literal 3 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 re #s(literal -1/2 binary64))))
Outputs
(+.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 im) #s(literal 3 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)))) #s(literal 1 binary64))
(*.f64 (cos.f64 im) (pow.f64 (cos.f64 im) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) (cos.f64 im))
(*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 im) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cos.f64 im)) (pow.f64 (cos.f64 im) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (cos.f64 im)) (*.f64 (sqrt.f64 (cos.f64 im)) (pow.f64 (cos.f64 im) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cos.f64 im) #s(literal 3/2 binary64)) (pow.f64 (cos.f64 im) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64)) #s(literal 3 binary64)) (cos.f64 im))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 im)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cos.f64 im)) #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 im))
(*.f64 (*.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 im)))
(*.f64 (*.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) (sqrt.f64 (cos.f64 im))) (sqrt.f64 (cos.f64 im)))
(sqrt.f64 (pow.f64 (cos.f64 im) #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64))))
(exp.f64 (log.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))) (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))))) (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 (exp.f64 (log1p.f64 (*.f64 (cos.f64 im) (exp.f64 re)))) #s(literal 1 binary64))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (*.f64 (cos.f64 im) (exp.f64 re)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 im) (exp.f64 re)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 re)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (exp.f64 re)) (cos.f64 im)))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 im) (exp.f64 re))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 im) (exp.f64 re))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 im) (exp.f64 re))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (cos.f64 im) (exp.f64 re))))
(*.f64 (sqrt.f64 (exp.f64 re)) (*.f64 (sqrt.f64 (exp.f64 re)) (cos.f64 im)))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 im) (exp.f64 re))) (sqrt.f64 (*.f64 (cos.f64 im) (exp.f64 re))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 (cos.f64 im) (exp.f64 re)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 (cos.f64 im) (exp.f64 re))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.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 (pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 im) (exp.f64 re))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 im) (exp.f64 re))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) #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 (cos.f64 im) (exp.f64 re)))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 im) (exp.f64 re))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 im) (exp.f64 re))))
(exp.f64 (+.f64 re (log.f64 (cos.f64 im))))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 re (log.f64 (cos.f64 im)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (+.f64 re (log.f64 (cos.f64 im))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 (exp.f64 re) #s(literal 3 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 re) #s(literal 3 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 re) #s(literal 3 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 re) #s(literal 3 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (exp.f64 re) #s(literal 3 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (exp.f64 re) #s(literal 3 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 re) #s(literal 3 binary64)))) #s(literal 1 binary64))
(*.f64 (exp.f64 re) (pow.f64 (exp.f64 re) #s(literal 2 binary64)))
(*.f64 (pow.f64 (exp.f64 re) #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (exp.f64 re) #s(literal 2 binary64)) (exp.f64 re))
(*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 re) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 re)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (exp.f64 re)) (pow.f64 (exp.f64 re) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (exp.f64 re)) (*.f64 (sqrt.f64 (exp.f64 re)) (pow.f64 (exp.f64 re) #s(literal 2 binary64))))
(*.f64 (exp.f64 (*.f64 re #s(literal 3/2 binary64))) (exp.f64 (*.f64 re #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 re)) #s(literal 2 binary64)) #s(literal 3 binary64)) (exp.f64 re))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 re)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (exp.f64 re)) #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 (exp.f64 re) #s(literal 2 binary64)) #s(literal 1 binary64)) (exp.f64 re))
(*.f64 (*.f64 (pow.f64 (exp.f64 re) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (exp.f64 re)) #s(literal 2 binary64))) (cbrt.f64 (exp.f64 re)))
(*.f64 (*.f64 (pow.f64 (exp.f64 re) #s(literal 2 binary64)) (sqrt.f64 (exp.f64 re))) (sqrt.f64 (exp.f64 re)))
(sqrt.f64 (pow.f64 (exp.f64 re) #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 (exp.f64 re) #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (exp.f64 re) #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 re) #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 re) #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 re) #s(literal 3 binary64))))
(exp.f64 (*.f64 #s(literal 3 binary64) re))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) re) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) #s(literal 3 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) #s(literal 3 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) #s(literal 3 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) #s(literal 3 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) #s(literal 3 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) #s(literal 3 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) #s(literal 3 binary64)))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) #s(literal 3 binary64)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (exp.f64 re) #s(literal 3 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 re) #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (cos.f64 im) (exp.f64 re)) #s(literal 3 binary64))))
(exp.f64 (*.f64 #s(literal 3 binary64) (+.f64 re (log.f64 (cos.f64 im)))))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (+.f64 re (log.f64 (cos.f64 im)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (+.f64 re (log.f64 (cos.f64 im))) #s(literal 3 binary64)))
(+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal -1/2 binary64))))
(+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal -1/2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 re #s(literal -1/2 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)) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) (-.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal -1/2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal -1/2 binary64)))) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal -1/2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal -1/2 binary64))))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) (neg.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal -1/2 binary64))))))
(/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal -1/8 binary64))) (fma.f64 (*.f64 re #s(literal -1/2 binary64)) (fma.f64 re #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) re)))
(/.f64 (*.f64 (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal -1/8 binary64)) (pow.f64 im #s(literal 2 binary64))) (fma.f64 (*.f64 re #s(literal -1/2 binary64)) (fma.f64 re #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 im #s(literal 2 binary64))) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) re)))
(pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 im (sqrt.f64 (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64))))))
(log.f64 (*.f64 (exp.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal -1/2 binary64)))) (exp.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal -1/2 binary64))))
(fma.f64 im (*.f64 im (*.f64 re #s(literal -1/2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal -1/2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 re (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 re #s(literal -1/2 binary64)) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal -1/2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal -1/2 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (*.f64 re #s(literal -1/2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 re #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 re #s(literal -1/2 binary64))) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 re #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 re #s(literal -1/2 binary64))) (pow.f64 im #s(literal 2 binary64))) (*.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 (*.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)) #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))) (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal -1/2 binary64))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal -1/2 binary64)))) (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal -1/2 binary64))))) (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal -1/2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal -1/2 binary64)))) (sqrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal -1/2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 re #s(literal -1/2 binary64))) im) (*.f64 (sqrt.f64 (*.f64 re #s(literal -1/2 binary64))) im) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 im (sqrt.f64 (*.f64 re #s(literal -1/2 binary64)))) (*.f64 im (sqrt.f64 (*.f64 re #s(literal -1/2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) im) im (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal -1/2 binary64))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (cbrt.f64 (pow.f64 im #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal -1/2 binary64))))
(fma.f64 (*.f64 (*.f64 re #s(literal -1/2 binary64)) im) im (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 (*.f64 re #s(literal -1/2 binary64)) (cbrt.f64 (pow.f64 im #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (*.f64 re #s(literal -1/2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 re #s(literal -1/2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (*.f64 re #s(literal -1/2 binary64)))) (sqrt.f64 (*.f64 re #s(literal -1/2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))

simplify174.0ms (3%)

Algorithm
egg-herbie
Rules
915×fma-neg
626×times-frac
374×associate-*r*
320×associate-*l*
278×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04717060
110606786
235446678
377066678
Stop Event
node limit
Counts
234 → 258
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 7/8 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 3/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 7/8 binary64) (*.f64 #s(literal -61/240 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 3/2 binary64))))
(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))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) re))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 9/2 binary64) re))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 3 binary64) (*.f64 re (+.f64 #s(literal 9/2 binary64) (*.f64 #s(literal 9/2 binary64) re))))))
(pow.f64 (cos.f64 im) #s(literal 3 binary64))
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 re (pow.f64 (cos.f64 im) #s(literal 3 binary64)))) (pow.f64 (cos.f64 im) #s(literal 3 binary64)))
(+.f64 (*.f64 re (+.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (cos.f64 im) #s(literal 3 binary64))) (*.f64 #s(literal 9/2 binary64) (*.f64 re (pow.f64 (cos.f64 im) #s(literal 3 binary64)))))) (pow.f64 (cos.f64 im) #s(literal 3 binary64)))
(+.f64 (*.f64 re (+.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (cos.f64 im) #s(literal 3 binary64))) (*.f64 re (+.f64 (*.f64 #s(literal 9/2 binary64) (*.f64 re (pow.f64 (cos.f64 im) #s(literal 3 binary64)))) (*.f64 #s(literal 9/2 binary64) (pow.f64 (cos.f64 im) #s(literal 3 binary64))))))) (pow.f64 (cos.f64 im) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 re) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) (pow.f64 (exp.f64 re) #s(literal 3 binary64)))
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(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) (-.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal -1/2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal -1/2 binary64)))) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal -1/2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal -1/2 binary64))))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) (neg.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal -1/2 binary64))))))
(/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal -1/8 binary64))) (fma.f64 (*.f64 re #s(literal -1/2 binary64)) (fma.f64 re #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) re)))
(/.f64 (*.f64 (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal -1/8 binary64)) (pow.f64 im #s(literal 2 binary64))) (fma.f64 (*.f64 re #s(literal -1/2 binary64)) (fma.f64 re #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 im #s(literal 2 binary64))) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) re)))
(pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 im (sqrt.f64 (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64))))))
(log.f64 (*.f64 (exp.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal -1/2 binary64)))) (exp.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 im (*.f64 im #s(literal -1/2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal -1/2 binary64))))
(fma.f64 im (*.f64 im (*.f64 re #s(literal -1/2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal -1/2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 re (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 re #s(literal -1/2 binary64)) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal -1/2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal -1/2 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (*.f64 re #s(literal -1/2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 re #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 re #s(literal -1/2 binary64))) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 re #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 re #s(literal -1/2 binary64))) (pow.f64 im #s(literal 2 binary64))) (*.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 (*.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)) #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))) (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal -1/2 binary64))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal -1/2 binary64)))) (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal -1/2 binary64))))) (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal -1/2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal -1/2 binary64)))) (sqrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal -1/2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 re #s(literal -1/2 binary64))) im) (*.f64 (sqrt.f64 (*.f64 re #s(literal -1/2 binary64))) im) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 im (sqrt.f64 (*.f64 re #s(literal -1/2 binary64)))) (*.f64 im (sqrt.f64 (*.f64 re #s(literal -1/2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) im) im (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal -1/2 binary64))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (cbrt.f64 (pow.f64 im #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal -1/2 binary64))))
(fma.f64 (*.f64 (*.f64 re #s(literal -1/2 binary64)) im) im (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 (*.f64 re #s(literal -1/2 binary64)) (cbrt.f64 (pow.f64 im #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (*.f64 re #s(literal -1/2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 re #s(literal -1/2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (*.f64 re #s(literal -1/2 binary64)))) (sqrt.f64 (*.f64 re #s(literal -1/2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 #s(literal -3/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 7/8 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 3/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 7/8 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -3/2 binary64))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 7/8 binary64) #s(literal -3/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 7/8 binary64) (*.f64 #s(literal -61/240 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 3/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 7/8 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -61/240 binary64))) #s(literal -3/2 binary64))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -61/240 binary64) #s(literal 7/8 binary64)) #s(literal -3/2 binary64)) #s(literal 1 binary64))
(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 #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) (*.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))
(fma.f64 re (*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))) (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) (*.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 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) (exp.f64 re)))
(*.f64 (+.f64 (*.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 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 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 #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 #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 (pow.f64 im #s(literal 2 binary64)) (exp.f64 re)) (*.f64 (exp.f64 re) #s(literal 1/24 binary64)))))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (exp.f64 re) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 (exp.f64 re) #s(literal -1/2 binary64))) (exp.f64 re))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (exp.f64 re) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/720 binary64)))) (*.f64 (exp.f64 re) #s(literal -1/2 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))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) re))
(+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 3 binary64)))
(fma.f64 re #s(literal 3 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 9/2 binary64) re))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 3 binary64) (*.f64 re #s(literal 9/2 binary64)))))
(fma.f64 re (fma.f64 re #s(literal 9/2 binary64) #s(literal 3 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 3 binary64) (*.f64 re (+.f64 #s(literal 9/2 binary64) (*.f64 #s(literal 9/2 binary64) re))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 3 binary64) (*.f64 re (+.f64 #s(literal 9/2 binary64) (*.f64 re #s(literal 9/2 binary64)))))))
(fma.f64 re (fma.f64 re (fma.f64 re #s(literal 9/2 binary64) #s(literal 9/2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (cos.f64 im) #s(literal 3 binary64))
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 re (pow.f64 (cos.f64 im) #s(literal 3 binary64)))) (pow.f64 (cos.f64 im) #s(literal 3 binary64)))
(fma.f64 #s(literal 3 binary64) (*.f64 re (pow.f64 (cos.f64 im) #s(literal 3 binary64))) (pow.f64 (cos.f64 im) #s(literal 3 binary64)))
(*.f64 (fma.f64 re #s(literal 3 binary64) #s(literal 1 binary64)) (pow.f64 (cos.f64 im) #s(literal 3 binary64)))
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(*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) (*.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))))
(fma.f64 (*.f64 (*.f64 re #s(literal -1/2 binary64)) im) im (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 (*.f64 re #s(literal -1/2 binary64)) (cbrt.f64 (pow.f64 im #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (*.f64 (*.f64 re #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (*.f64 re (*.f64 #s(literal -1/2 binary64) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (+.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (*.f64 re (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))))))
(fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) re) #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (*.f64 re #s(literal -1/2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 re #s(literal -1/2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (*.f64 re #s(literal -1/2 binary64)))) (sqrt.f64 (*.f64 re #s(literal -1/2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 re #s(literal -1/2 binary64) #s(literal -1/2 binary64)))

eval154.0ms (2.7%)

Compiler

Compiled 4050 to 2696 computations (33.4% saved)

prune52.0ms (0.9%)

Pruning

16 alts after pruning (5 fresh and 11 done)

PrunedKeptTotal
New2695274
Fresh000
Picked224
Done1910
Total27216288
Accuracy
100.0%
Counts
288 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.4%
(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
27.9%
(+.f64 re #s(literal 1 binary64))
11.7%
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 re #s(literal -1/2 binary64))))
11.9%
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal -1/2 binary64)))
11.0%
(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))
50.4%
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
100.0%
(*.f64 (sqrt.f64 (exp.f64 re)) (*.f64 (sqrt.f64 (exp.f64 re)) (cos.f64 im)))
100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
61.2%
(*.f64 (cos.f64 im) (+.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 re (*.f64 #s(literal 1/2 binary64) re))))
3.8%
(*.f64 (cos.f64 im) re)
11.7%
(*.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) re) #s(literal -1/2 binary64))))
71.8%
(exp.f64 (+.f64 re (log.f64 (cos.f64 im))))
69.8%
(exp.f64 re)
50.0%
(cos.f64 im)
99.7%
(cbrt.f64 (*.f64 (exp.f64 (*.f64 #s(literal 3 binary64) re)) (pow.f64 (cos.f64 im) #s(literal 3 binary64))))
3.5%
re
Compiler

Compiled 274 to 180 computations (34.3% saved)

regimes29.0ms (0.5%)

Counts
20 → 1
Calls
Call 1
Inputs
re
(+.f64 re #s(literal 1 binary64))
(cos.f64 im)
(exp.f64 re)
(*.f64 (cos.f64 im) re)
(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 re #s(literal -1/2 binary64))))
(*.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) re) #s(literal -1/2 binary64))))
(*.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 #s(literal 1/2 binary64) re))))
(*.f64 (exp.f64 re) (cos.f64 im))
(+.f64 (cos.f64 im) (*.f64 re (cos.f64 im)))
(exp.f64 (+.f64 re (log.f64 (cos.f64 im))))
(cbrt.f64 (*.f64 (exp.f64 (*.f64 #s(literal 3 binary64) re)) (pow.f64 (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))))
(*.f64 (sqrt.f64 (exp.f64 re)) (*.f64 (sqrt.f64 (exp.f64 re)) (cos.f64 im)))
(*.f64 (*.f64 (exp.f64 re) (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 im)))
Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
Calls

5 calls:

8.0ms
im
7.0ms
re
5.0ms
(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)

regimes39.0ms (0.7%)

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

4 calls:

16.0ms
im
11.0ms
re
9.0ms
(cos.f64 im)
2.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
92.2%3re
80.8%4im
92.2%3(exp.f64 re)
81.0%4(cos.f64 im)
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes13.0ms (0.2%)

Counts
12 → 3
Calls
Call 1
Inputs
re
(+.f64 re #s(literal 1 binary64))
(cos.f64 im)
(exp.f64 re)
(*.f64 (cos.f64 im) re)
(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 re #s(literal -1/2 binary64))))
(*.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) re) #s(literal -1/2 binary64))))
(*.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
92.1%3re
92.1%3(exp.f64 re)
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))
(cos.f64 im)
(exp.f64 re)
(*.f64 (cos.f64 im) re)
(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))
Outputs
(exp.f64 re)
(cos.f64 im)
(exp.f64 re)
Calls

2 calls:

6.0ms
re
2.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
91.9%3re
91.9%3(exp.f64 re)
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes7.0ms (0.1%)

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

3 calls:

3.0ms
im
2.0ms
re
1.0ms
(cos.f64 im)
Results
AccuracySegmentsBranch
50.0%1im
50.0%1(cos.f64 im)
50.0%1re
Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0.1%)

Counts
2 → 1
Calls
Call 1
Inputs
re
(+.f64 re #s(literal 1 binary64))
Outputs
(+.f64 re #s(literal 1 binary64))
Calls

2 calls:

1.0ms
re
1.0ms
im
Results
AccuracySegmentsBranch
27.9%1re
27.9%1im
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

0.0ms
im
0.0ms
re
Results
AccuracySegmentsBranch
3.5%1im
3.5%1re
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.2580828062446754
5.805782511058951e+73
0.0ms
1.2168417276745098e-5
0.9999999988974474
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.2580828062446754
5.805782511058951e+73
0.0ms
1.2168417276745098e-5
0.9999999988974474
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.2580828062446754
5.805782511058951e+73
0.0ms
1.2168417276745098e-5
0.9999999988974474
Compiler

Compiled 12 to 9 computations (25% saved)

simplify6.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
032262
151262
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 (exp.f64 re) #s(literal 5902958103587057/295147905179352825856 binary64)) (exp.f64 re) (if (<=.f64 (exp.f64 re) #s(literal 2 binary64)) (*.f64 (cos.f64 im) (+.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 re (*.f64 #s(literal 1/2 binary64) re)))) (exp.f64 re)))
(if (<=.f64 (exp.f64 re) #s(literal 5902958103587057/295147905179352825856 binary64)) (exp.f64 re) (if (<=.f64 (exp.f64 re) #s(literal 2 binary64)) (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) (exp.f64 re)))
(if (<=.f64 (exp.f64 re) #s(literal 5902958103587057/295147905179352825856 binary64)) (exp.f64 re) (if (<=.f64 (exp.f64 re) #s(literal 2 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 (exp.f64 re) #s(literal 5902958103587057/295147905179352825856 binary64)) (exp.f64 re) (if (<=.f64 (exp.f64 re) #s(literal 2 binary64)) (*.f64 (cos.f64 im) (+.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 re (*.f64 #s(literal 1/2 binary64) re)))) (exp.f64 re)))
(if (or (<=.f64 (exp.f64 re) #s(literal 5902958103587057/295147905179352825856 binary64)) (not (<=.f64 (exp.f64 re) #s(literal 2 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 (exp.f64 re) #s(literal 5902958103587057/295147905179352825856 binary64)) (exp.f64 re) (if (<=.f64 (exp.f64 re) #s(literal 2 binary64)) (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) (exp.f64 re)))
(if (or (<=.f64 (exp.f64 re) #s(literal 5902958103587057/295147905179352825856 binary64)) (not (<=.f64 (exp.f64 re) #s(literal 2 binary64)))) (exp.f64 re) (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 re) #s(literal 5902958103587057/295147905179352825856 binary64)) (exp.f64 re) (if (<=.f64 (exp.f64 re) #s(literal 2 binary64)) (cos.f64 im) (exp.f64 re)))
(if (or (<=.f64 (exp.f64 re) #s(literal 5902958103587057/295147905179352825856 binary64)) (not (<=.f64 (exp.f64 re) #s(literal 2 binary64)))) (exp.f64 re) (cos.f64 im))
(cos.f64 im)
(+.f64 re #s(literal 1 binary64))
re
Compiler

Compiled 84 to 57 computations (32.1% saved)

soundness427.0ms (7.4%)

Rules
809×distribute-lft-in
709×distribute-rgt-in
656×times-frac
484×distribute-lft-out
454×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011328
12491267
27541237
322811222
463771219
01121
110121
2110521
03915882
18855606
227155357
376045357
Stop Event
node limit
node limit
node limit
Compiler

Compiled 219 to 105 computations (52.1% saved)

end0.0ms (0%)

preprocess61.0ms (1.1%)

Remove

(abs im)

Compiler

Compiled 228 to 136 computations (40.4% saved)

Profiling

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