math.cos on complex, real part

Time bar (total: 5.7s)

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 14 to 11 computations (21.4% 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-add, 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
Operation ival-neg, time spent: 0.0ms, 0.0% of total-time

sample1.6s (28.3%)

Results
686.0ms4153×256valid
848.0ms4102×256infinite
0.0ms256valid
Precisions
Click to see histograms. Total time spent on operations: 656.0ms
Operation ival-cos, time spent: 246.0ms, 37.0% of total-time
Operation ival-exp, time spent: 164.0ms, 25.0% of total-time
Operation ival-mult, time spent: 142.0ms, 22.0% of total-time
Operation ival-add, time spent: 48.0ms, 7.0% of total-time
Operation ival-neg, time spent: 43.0ms, 7.0% of total-time
Operation const, time spent: 13.0ms, 2.0% of total-time
Bogosity

preprocess261.0ms (4.6%)

Algorithm
egg-herbie
Rules
830×fma-define
412×fmm-def
102×times-frac
96×associate-*r*
87×distribute-lft-neg-in
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 1/2 binary64)
00-0-(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
00-0-re
00-0-(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
00-0-im
00-0-(cos.f64 re)
00-0-(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
00-0-(neg.f64 im)
00-0-(exp.f64 (neg.f64 im))
00-0-(exp.f64 im)
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
032316
1100308
2280308
3673298
41117294
51661294
62231294
72749294
82903294
92917294
102917294
112917294
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (neg.f64 re))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 (neg.f64 im))) (exp.f64 (neg.f64 im))))
(neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (neg.f64 re))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 (neg.f64 im))) (exp.f64 (neg.f64 im)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)) (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 re)))
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (neg.f64 re))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 (neg.f64 im))) (exp.f64 (neg.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (neg.f64 re))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (neg.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal -1/2 binary64)))
(*.f64 (cos.f64 re) (fma.f64 (exp.f64 im) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 im))))
(neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 (neg.f64 im))) (exp.f64 (neg.f64 im)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (neg.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (cos.f64 re) #s(literal -1/2 binary64)))
(*.f64 (cos.f64 re) (fma.f64 (exp.f64 im) #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)) (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 re)))
(*.f64 (cos.f64 im) (fma.f64 #s(literal 1/2 binary64) (exp.f64 re) (/.f64 #s(literal 1/2 binary64) (exp.f64 re))))
Symmetry

(abs re)

(abs im)

Compiler

Compiled 85 to 38 computations (55.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
Operation ival-cos, time spent: 14.0ms, 33.0% of total-time
Operation ival-mult, time spent: 12.0ms, 28.0% of total-time
Operation ival-exp, time spent: 10.0ms, 23.0% of total-time
Operation ival-add, time spent: 3.0ms, 7.0% of total-time
Operation ival-neg, time spent: 3.0ms, 7.0% of total-time
Operation const, time spent: 1.0ms, 2.0% of total-time

eval8.0ms (0.1%)

Compiler

Compiled 35 to 18 computations (48.6% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 13 to 10 computations (23.1% saved)

localize60.0ms (1%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
100.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 36 to 14 computations (61.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
Operation ival-cos, time spent: 9.0ms, 38.0% of total-time
Operation ival-mult, time spent: 8.0ms, 34.0% of total-time
Operation ival-exp, time spent: 4.0ms, 17.0% of total-time
Operation ival-add, time spent: 1.0ms, 4.0% of total-time
Operation const, time spent: 1.0ms, 4.0% of total-time
Operation ival-neg, time spent: 1.0ms, 4.0% of total-time

series7.0ms (0.1%)

Counts
2 → 36
Calls
Call 1
Inputs
#<alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<alt (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))>
#<alt (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/48 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (cos.f64 re)>
#<alt (+.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))>
#<alt (+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))>
#<alt (+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.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)) (cos.f64 re))) (*.f64 #s(literal 1/24 binary64) (cos.f64 re)))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 im #s(literal 2 binary64))))))))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))>
Calls

9 calls:

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

rewrite160.0ms (2.8%)

Algorithm
batch-egg-rewrite
Rules
100×associate-*r*
90×add-exp-log
90×add-log-exp
90×log1p-expm1-u
90×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01669
120269
2330669
Stop Event
unsound
Counts
2 → 28
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
Outputs
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (+.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (-.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64)))))
(/.f64 (-.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64))) (-.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(fabs.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(log.f64 (pow.f64 #s(literal 1 binary64) (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))))
(cbrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal -2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(fma.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64) (*.f64 (cos.f64 re) #s(literal -2 binary64)))
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)

simplify67.0ms (1.2%)

Algorithm
egg-herbie
Rules
770×associate-+r+
650×associate-+l+
531×fma-define
402×associate-*r*
324×associate-*r/
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01142091
13291912
210981721
339751662
Stop Event
node limit
Counts
64 → 84
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/48 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(cos.f64 re)
(+.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.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)) (cos.f64 re))) (*.f64 #s(literal 1/24 binary64) (cos.f64 re)))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 im #s(literal 2 binary64))))))))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (+.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (-.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64)))))
(/.f64 (-.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64))) (-.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(fabs.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(log.f64 (pow.f64 #s(literal 1 binary64) (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))))
(cbrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal -2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(fma.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64) (*.f64 (cos.f64 re) #s(literal -2 binary64)))
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/48 binary64)))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/48 binary64)))) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(fma.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (exp.f64 im) #s(literal 1/48 binary64) (/.f64 #s(literal 1/48 binary64) (exp.f64 im))) (pow.f64 re #s(literal 4 binary64))))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/48 binary64) #s(literal -1/4 binary64)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/48 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (pow.f64 re #s(literal 2 binary64))) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) #s(literal 1/48 binary64)))))))
(+.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))) (*.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/1440 binary64)) #s(literal 1/48 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(fma.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/1440 binary64) #s(literal 1/48 binary64)) (pow.f64 re #s(literal 4 binary64)))))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 (*.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/1440 binary64) #s(literal 1/48 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(cos.f64 re)
(+.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(+.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.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)) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (cos.f64 re))
(*.f64 (cos.f64 re) (+.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (cos.f64 re) (+.f64 (*.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))) #s(literal 1 binary64)))
(+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.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)) (cos.f64 re))) (*.f64 #s(literal 1/24 binary64) (cos.f64 re)))))))
(+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (*.f64 (cos.f64 re) #s(literal 1/24 binary64)))))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) (cos.f64 re))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 re) (*.f64 (cos.f64 re) (*.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)))))
(*.f64 (cos.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 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64)))))
(fma.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 binary64)) #s(literal 2 binary64))
(fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 im #s(literal 2 binary64))))))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/360 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 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 im im (fma.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (cos.f64 re) (cos.f64 re))
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(+.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(*.f64 (cos.f64 re) #s(literal -4 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(cos.f64 re)
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (+.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (-.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64)))))
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (fma.f64 (cos.f64 re) #s(literal -2 binary64) #s(literal 0 binary64)))
(*.f64 (cos.f64 re) (/.f64 #s(literal -2 binary64) (*.f64 (cos.f64 re) #s(literal -2 binary64))))
#s(literal 1 binary64)
(/.f64 (-.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64))) (-.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (fma.f64 (cos.f64 re) #s(literal -2 binary64) #s(literal 0 binary64)))
(*.f64 (cos.f64 re) (/.f64 #s(literal -2 binary64) (*.f64 (cos.f64 re) #s(literal -2 binary64))))
#s(literal 1 binary64)
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(sqrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(fabs.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(*.f64 #s(literal 2 binary64) (fabs.f64 (cos.f64 re)))
(log.f64 (pow.f64 #s(literal 1 binary64) (cos.f64 re)))
#s(literal 0 binary64)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(cbrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(exp.f64 (+.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal -2 binary64)))
(*.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (exp.f64 #s(literal -2 binary64)))
(*.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) (exp.f64 #s(literal -2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(*.f64 (cos.f64 re) #s(literal -4 binary64))
(fma.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64) (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(*.f64 (cos.f64 re) #s(literal -4 binary64))
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)

eval30.0ms (0.5%)

Compiler

Compiled 1149 to 668 computations (41.9% saved)

prune18.0ms (0.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New76884
Fresh000
Picked011
Done000
Total76985
Accuracy
100.0%
Counts
85 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.4%
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (cos.f64 re))
8.0%
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
78.8%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
100.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
11.2%
(*.f64 #s(literal 2 binary64) (cos.f64 re))
63.9%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
52.5%
(cos.f64 re)
27.6%
#s(literal 1 binary64)
2.4%
#s(literal 0 binary64)
Compiler

Compiled 139 to 110 computations (20.9% saved)

localize172.0ms (3%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
99.9%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
99.6%
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
100.0%
(*.f64 (cos.f64 re) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
99.9%
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (cos.f64 re))
99.7%
(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64))
Compiler

Compiled 92 to 55 computations (40.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 93.0ms
Operation ival-mult, time spent: 35.0ms, 38.0% of total-time
Operation ival-pow, time spent: 27.0ms, 29.0% of total-time
Operation composed, time spent: 11.0ms, 12.0% of total-time
Operation ival-add, time spent: 8.0ms, 9.0% of total-time
Operation ival-cos, time spent: 7.0ms, 8.0% of total-time
Operation const, time spent: 4.0ms, 4.0% of total-time

series19.0ms (0.3%)

Counts
5 → 96
Calls
Call 1
Inputs
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64))>
#<alt (fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (cos.f64 re))>
#<alt (*.f64 (cos.f64 re) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))>
#<alt (pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))>
#<alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))>
Outputs
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (cos.f64 re)>
#<alt (+.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))>
#<alt (+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))>
#<alt (+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))>
#<alt (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) #s(literal 1/2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))))) #s(literal 1/2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) #s(literal 1/720 binary64))))))) #s(literal 1/2 binary64)))))>
#<alt (+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))))))>
#<alt (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) (*.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))))))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (cos.f64 re))>
#<alt (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))>
#<alt (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))>
#<alt (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))>
#<alt (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt #s(literal 1/4 binary64)>
#<alt (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 17/180 binary64) (pow.f64 re #s(literal 2 binary64))))))))>
#<alt (/.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 #s(literal 1/48 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (cos.f64 re)>
#<alt (+.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))>
#<alt (+.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))>
#<alt (+.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.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) (cos.f64 re)) (/.f64 (cos.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) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.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) (cos.f64 re)) (/.f64 (cos.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) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))>
Calls

24 calls:

TimeVariablePointExpression
5.0ms
re
@inf
(+ (* (pow im 2) (* (cos re) (+ (* (pow im 2) 1/24) 1/2))) (cos re))
1.0ms
re
@0
(+ (* (pow im 2) (* (cos re) (+ (* (pow im 2) 1/24) 1/2))) (cos re))
1.0ms
re
@-inf
(+ (* (pow im 2) (* (cos re) (+ (* (pow im 2) 1/24) 1/2))) (cos re))
1.0ms
re
@inf
(pow (* (cos re) -2) -2)
1.0ms
re
@-inf
(pow (* (cos re) -2) -2)

rewrite197.0ms (3.4%)

Algorithm
batch-egg-rewrite
Rules
812×log1p-expm1-u
812×expm1-log1p-u
492×prod-diff
262×fma-define
248×log1p-undefine
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024156
1303156
23754156
Stop Event
node limit
Counts
5 → 128
Calls
Call 1
Inputs
(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (cos.f64 re))
(*.f64 (cos.f64 re) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 im (sqrt.f64 #s(literal 1/24 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/576 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/24 binary64)) (pow.f64 im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64))))
(exp.f64 (log.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64))) #s(literal 1 binary64)))
(+.f64 (cos.f64 re) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (cos.f64 re))
(+.f64 (*.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (cos.f64 re))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (cos.f64 re)))) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (cos.f64 re)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (cos.f64 re)))
(*.f64 (cbrt.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (cos.f64 re))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (cos.f64 re))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (cos.f64 re))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (cos.f64 re))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (cos.f64 re))) (sqrt.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (cos.f64 re))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (-.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (cos.f64 re)))))
(/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (cos.f64 re)))
(pow.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (cos.f64 re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (cos.f64 re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (cos.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (cos.f64 re))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (cos.f64 re)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (cos.f64 re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (cos.f64 re)))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (cos.f64 re)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (cos.f64 re))))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (cos.f64 re))))
(exp.f64 (log.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (cos.f64 re))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (cos.f64 re))) #s(literal 1 binary64)))
(+.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/24 binary64) (cos.f64 re))))
(+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/24 binary64) (cos.f64 re))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/24 binary64) (cos.f64 re))) #s(literal 1 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/24 binary64) (cos.f64 re))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/24 binary64) (cos.f64 re))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/24 binary64) (cos.f64 re))) (-.f64 (pow.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/24 binary64) (cos.f64 re))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/24 binary64) (cos.f64 re))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/24 binary64) (cos.f64 re)))) (pow.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/24 binary64) (cos.f64 re))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/13824 binary64) #s(literal 1/8 binary64))) (-.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/576 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/48 binary64))))
(/.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/576 binary64) #s(literal -1/4 binary64))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/13824 binary64) #s(literal 1/8 binary64)) (cos.f64 re)) (-.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/576 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/48 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/576 binary64) #s(literal -1/4 binary64)) (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) (cos.f64 re) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(fma.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(fma.f64 (cos.f64 re) #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/24 binary64) (cos.f64 re))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/24 binary64) (cos.f64 re))))
(fma.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/24 binary64) (cos.f64 re))))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/24 binary64) (cos.f64 re))))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/24 binary64) (cos.f64 re))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cos.f64 re)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/24 binary64) (cos.f64 re))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/576 binary64))) (*.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64))) (cos.f64 re)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(fma.f64 (cbrt.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/24 binary64) (cos.f64 re))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/24 binary64) (cos.f64 re))))
(fma.f64 (sqrt.f64 (cos.f64 re)) (*.f64 (sqrt.f64 (cos.f64 re)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/24 binary64) (cos.f64 re))))
(fma.f64 (sqrt.f64 (cos.f64 re)) (*.f64 (sqrt.f64 (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 im (sqrt.f64 #s(literal 1/24 binary64))) (*.f64 (*.f64 im (sqrt.f64 #s(literal 1/24 binary64))) (cos.f64 re)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/24 binary64) (cos.f64 re))))
(fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/24 binary64) (cos.f64 re))) #s(literal 1 binary64) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/24 binary64) (cos.f64 re)))) (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/24 binary64) (cos.f64 re))))) (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/24 binary64) (cos.f64 re)))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/24 binary64) (cos.f64 re)))) (sqrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/24 binary64) (cos.f64 re)))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (*.f64 im (sqrt.f64 #s(literal 1/24 binary64))) (sqrt.f64 (cos.f64 re))) (*.f64 (*.f64 im (sqrt.f64 #s(literal 1/24 binary64))) (sqrt.f64 (cos.f64 re))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 (cos.f64 re)) (*.f64 im (sqrt.f64 #s(literal 1/24 binary64)))) (*.f64 (sqrt.f64 (cos.f64 re)) (*.f64 im (sqrt.f64 #s(literal 1/24 binary64)))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/24 binary64) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 re)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) (sqrt.f64 (cos.f64 re))) (sqrt.f64 (cos.f64 re)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/24 binary64) (cos.f64 re))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (cos.f64 re))) (sqrt.f64 (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/24 binary64) (cos.f64 re))))
(fma.f64 (*.f64 (cos.f64 re) #s(literal 1/24 binary64)) (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (cos.f64 re) (cbrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/576 binary64)))) (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (cos.f64 re) (*.f64 im (sqrt.f64 #s(literal 1/24 binary64)))) (*.f64 im (sqrt.f64 #s(literal 1/24 binary64))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -4 binary64))) (cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (cos.f64 re) #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 (cos.f64 re) #s(literal -1 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal -2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal -2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -4 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal 1/4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/4 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (pow.f64 im #s(literal 2 binary64))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 re)) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (pow.f64 im #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 2 binary64)))

simplify141.0ms (2.5%)

Algorithm
egg-herbie
Rules
826×distribute-lft-in
815×distribute-rgt-in
514×associate-+r+
333×associate-*r*
299×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04179713
110679161
237108676
Stop Event
node limit
Counts
224 → 252
Calls
Call 1
Inputs
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(cos.f64 re)
(+.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
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(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/4 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (pow.f64 im #s(literal 2 binary64))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 re)) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (pow.f64 im #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
Outputs
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(cos.f64 re)
(+.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))
(+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (cos.f64 re))
(fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (cos.f64 re))
(fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (cos.f64 re))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
(*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))) (cos.f64 re))
(*.f64 #s(literal 1/24 binary64) (*.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/24 binary64) (cos.f64 re) (/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/24 binary64) (cos.f64 re) (*.f64 (cos.f64 re) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (cos.f64 re) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/24 binary64) (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 (cos.f64 re) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64)))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/24 binary64) (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 (cos.f64 re) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64)))))
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
(*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))) (cos.f64 re))
(*.f64 #s(literal 1/24 binary64) (*.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/24 binary64) (cos.f64 re) (/.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/24 binary64) (cos.f64 re) (*.f64 (cos.f64 re) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (cos.f64 re) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/24 binary64) (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 (cos.f64 re) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64)))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/24 binary64) (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 (cos.f64 re) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))
(+.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))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (fma.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 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/48 binary64))) #s(literal -1/2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))))) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (fma.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 (pow.f64 re #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 #s(literal 1/24 binary64) (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)))))) #s(literal -1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))
(+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64)))) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))) (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
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(*.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -4 binary64))) (cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal -2 binary64)))) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -4 binary64))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (cos.f64 re) #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 (cos.f64 re) #s(literal -1 binary64))))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal -2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal -2 binary64)))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal -4 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -4 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal -2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/4 binary64)))))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal -2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal -2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/4 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal -2 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 re) #s(literal -2 binary64)))
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (pow.f64 im #s(literal 2 binary64))) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))))
(+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))))
(pow.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))) #s(literal 1 binary64))
(+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))) #s(literal 3 binary64))
(+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))
(pow.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))) #s(literal 2 binary64))
(+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))) #s(literal 2 binary64)))
(+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 re)) #s(literal 1/2 binary64)) (fma.f64 im im #s(literal 2 binary64))))
(+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))))))
(+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))) #s(literal 3 binary64)))
(+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 3 binary64))))
(+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))))
(+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))))
(+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))))
(+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))) #s(literal 1 binary64)))
(+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))
(fma.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (pow.f64 im #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/2 binary64))))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))

eval182.0ms (3.2%)

Compiler

Compiled 5410 to 3738 computations (30.9% saved)

prune45.0ms (0.8%)

Pruning

14 alts after pruning (10 fresh and 4 done)

PrunedKeptTotal
New2457252
Fresh033
Picked235
Done011
Total24714261
Accuracy
100.0%
Counts
261 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.4%
(+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))
12.7%
(+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)))
48.8%
(*.f64 (fma.f64 im im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/4 binary64))))
78.8%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
100.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
40.7%
(*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))) (cos.f64 re))
11.2%
(*.f64 #s(literal 2 binary64) (cos.f64 re))
49.0%
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
63.9%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
40.7%
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
52.5%
(cos.f64 re)
27.6%
#s(literal 1 binary64)
8.1%
#s(literal 1/4 binary64)
2.4%
#s(literal 0 binary64)
Compiler

Compiled 215 to 172 computations (20% saved)

localize185.0ms (3.2%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
100.0%
(*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64))
100.0%
(*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
99.8%
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))
99.7%
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
Compiler

Compiled 116 to 72 computations (37.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 86.0ms
Operation ival-pow, time spent: 32.0ms, 37.0% of total-time
Operation ival-mult, time spent: 28.0ms, 32.0% of total-time
Operation ival-add, time spent: 9.0ms, 10.0% of total-time
Operation ival-cos, time spent: 8.0ms, 9.0% of total-time
Operation const, time spent: 5.0ms, 6.0% of total-time
Operation ival-exp, time spent: 4.0ms, 5.0% of total-time
Operation ival-neg, time spent: 1.0ms, 1.0% of total-time

series6.0ms (0.1%)

Counts
5 → 52
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))>
#<alt (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))))))>
#<alt (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))))))>
#<alt (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) (*.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (cos.f64 re))>
#<alt (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))>
#<alt (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))>
#<alt (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))>
#<alt (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64)))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 im #s(literal 2 binary64))))))))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))>
Calls

21 calls:

TimeVariablePointExpression
1.0ms
re
@0
(* (pow im 2) (* (cos re) (+ 1/2 (* 1/24 (pow im 2)))))
0.0ms
re
@inf
(* (pow re 2) 1/4)
0.0ms
re
@0
(* (pow re 2) 1/4)
0.0ms
im
@0
(* (pow im 2) (* (cos re) (+ 1/2 (* 1/24 (pow im 2)))))
0.0ms
re
@0
(* (cos re) (+ 1/2 (* 1/24 (pow im 2))))

rewrite45.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
149×associate-*r*
143×log1p-expm1-u
143×expm1-log1p-u
140×add-exp-log
140×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02480
132280
2519180
Stop Event
unsound
Counts
5 → 95
Calls
Call 1
Inputs
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
Outputs
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/24 binary64)
#s(literal 0 binary64)
#s(literal 1/13824 binary64)
#s(literal 1/576 binary64)
#s(literal 1/512 binary64)
#s(literal 1/64 binary64)
#s(literal 1/48 binary64)
#s(literal 1/24 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/24 binary64)
#s(literal 0 binary64)
#s(literal 1/13824 binary64)
#s(literal 1/576 binary64)
#s(literal 1/512 binary64)
#s(literal 1/64 binary64)
#s(literal 1/48 binary64)
#s(literal 1/24 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/24 binary64)
#s(literal 0 binary64)
#s(literal 1/13824 binary64)
#s(literal 1/576 binary64)
#s(literal 1/512 binary64)
#s(literal 1/64 binary64)
#s(literal 1/48 binary64)
#s(literal 1/24 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
(-.f64 (exp.f64 (log1p.f64 re)) #s(literal -2 binary64))
(pow.f64 re #s(literal -2 binary64))
(pow.f64 re #s(literal 1/3 binary64))
(sqrt.f64 re)
(fabs.f64 re)
(log.f64 (exp.f64 re))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 re)))
(cbrt.f64 re)
re
(expm1.f64 (log1p.f64 re))
(log1p.f64 (expm1.f64 re))
(exp.f64 (log.f64 re))
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/24 binary64)
#s(literal 0 binary64)
#s(literal 1/13824 binary64)
#s(literal 1/576 binary64)
#s(literal 1/512 binary64)
#s(literal 1/64 binary64)
#s(literal 1/48 binary64)
#s(literal 1/24 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)

simplify70.0ms (1.2%)

Algorithm
egg-herbie
Rules
991×distribute-lft-in
974×distribute-rgt-in
757×fma-define
444×*-commutative
374×+-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01202534
13302159
212721989
344251979
Stop Event
node limit
Counts
147 → 106
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))))))
(+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))))))
(+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) (*.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64)))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 im #s(literal 2 binary64))))))))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/24 binary64)
#s(literal 0 binary64)
#s(literal 1/13824 binary64)
#s(literal 1/576 binary64)
#s(literal 1/512 binary64)
#s(literal 1/64 binary64)
#s(literal 1/48 binary64)
#s(literal 1/24 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/24 binary64)
#s(literal 0 binary64)
#s(literal 1/13824 binary64)
#s(literal 1/576 binary64)
#s(literal 1/512 binary64)
#s(literal 1/64 binary64)
#s(literal 1/48 binary64)
#s(literal 1/24 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/24 binary64)
#s(literal 0 binary64)
#s(literal 1/13824 binary64)
#s(literal 1/576 binary64)
#s(literal 1/512 binary64)
#s(literal 1/64 binary64)
#s(literal 1/48 binary64)
#s(literal 1/24 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
(-.f64 (exp.f64 (log1p.f64 re)) #s(literal -2 binary64))
(pow.f64 re #s(literal -2 binary64))
(pow.f64 re #s(literal 1/3 binary64))
(sqrt.f64 re)
(fabs.f64 re)
(log.f64 (exp.f64 re))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 re)))
(cbrt.f64 re)
(expm1.f64 (log1p.f64 re))
(log1p.f64 (expm1.f64 re))
(exp.f64 (log.f64 re))
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/24 binary64)
#s(literal 0 binary64)
#s(literal 1/13824 binary64)
#s(literal 1/576 binary64)
#s(literal 1/512 binary64)
#s(literal 1/64 binary64)
#s(literal 1/48 binary64)
#s(literal 1/24 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(*.f64 (cos.f64 re) (*.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) (cos.f64 re)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
(*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))) (cos.f64 re))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/24 binary64)) (pow.f64 im #s(literal 4 binary64)))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
(*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))) (cos.f64 re))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))
(*.f64 (*.f64 (cos.f64 re) #s(literal 1/24 binary64)) (pow.f64 im #s(literal 4 binary64)))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 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 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64))) (pow.f64 re #s(literal 2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)))))
(fma.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 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/48 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))
(*.f64 (*.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 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64))) (pow.f64 re #s(literal 2 binary64))))))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/48 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))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64)))))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (pow.f64 re #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64))))))
(+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 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 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64))))))))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (pow.f64 re #s(literal 2 binary64)))) #s(literal -1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/576 binary64))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/48 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 (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (pow.f64 re #s(literal 4 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (pow.f64 re #s(literal 4 binary64))) (*.f64 (*.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 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64))) (pow.f64 re #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/48 binary64))))))
(*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64))) (*.f64 #s(literal 1/24 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64))) (pow.f64 re #s(literal 2 binary64))))))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))) (*.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64))) (pow.f64 re #s(literal 2 binary64))) (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/24 binary64)))))))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (+.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/48 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64))))
(+.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (pow.f64 re #s(literal 4 binary64))) (*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64))))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) (cos.f64 re))
(*.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/24 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))
(*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) (cos.f64 re))
(*.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) #s(literal 1/24 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64)))))
(fma.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 binary64)) #s(literal 2 binary64))
(fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 im #s(literal 2 binary64))))))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/360 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 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 im im (fma.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/24 binary64)
#s(literal 0 binary64)
#s(literal 1/13824 binary64)
#s(literal 1/576 binary64)
#s(literal 1/512 binary64)
#s(literal 1/64 binary64)
#s(literal 1/48 binary64)
#s(literal 1/24 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/24 binary64)
#s(literal 0 binary64)
#s(literal 1/13824 binary64)
#s(literal 1/576 binary64)
#s(literal 1/512 binary64)
#s(literal 1/64 binary64)
#s(literal 1/48 binary64)
#s(literal 1/24 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/24 binary64)
#s(literal 0 binary64)
#s(literal 1/13824 binary64)
#s(literal 1/576 binary64)
#s(literal 1/512 binary64)
#s(literal 1/64 binary64)
#s(literal 1/48 binary64)
#s(literal 1/24 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)
(-.f64 (exp.f64 (log1p.f64 re)) #s(literal -2 binary64))
(+.f64 (exp.f64 (log1p.f64 re)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (+.f64 re #s(literal 1 binary64)))
(+.f64 re #s(literal 3 binary64))
(pow.f64 re #s(literal -2 binary64))
(pow.f64 re #s(literal 1/3 binary64))
(cbrt.f64 re)
(sqrt.f64 re)
(fabs.f64 re)
(log.f64 (exp.f64 re))
re
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 re)))
(log1p.f64 (+.f64 (exp.f64 re) #s(literal -4 binary64)))
(cbrt.f64 re)
(expm1.f64 (log1p.f64 re))
re
(log1p.f64 (expm1.f64 re))
re
(exp.f64 (log.f64 re))
re
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/24 binary64)
#s(literal 0 binary64)
#s(literal 1/13824 binary64)
#s(literal 1/576 binary64)
#s(literal 1/512 binary64)
#s(literal 1/64 binary64)
#s(literal 1/48 binary64)
#s(literal 1/24 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 8 binary64)

eval56.0ms (1%)

Compiler

Compiled 2022 to 1484 computations (26.6% saved)

prune29.0ms (0.5%)

Pruning

18 alts after pruning (9 fresh and 9 done)

PrunedKeptTotal
New1024106
Fresh055
Picked055
Done044
Total10218120
Accuracy
100.0%
Counts
120 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.4%
(+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))
17.6%
(+.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal -2 binary64)))
6.6%
(+.f64 #s(literal 1/4 binary64) (+.f64 re #s(literal 3 binary64)))
12.7%
(+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)))
17.1%
(+.f64 #s(literal 1/4 binary64) (log1p.f64 (expm1.f64 re)))
6.5%
(+.f64 #s(literal 1/4 binary64) re)
48.8%
(*.f64 (fma.f64 im im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/4 binary64))))
78.8%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
100.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
40.7%
(*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))) (cos.f64 re))
11.2%
(*.f64 #s(literal 2 binary64) (cos.f64 re))
49.0%
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
63.9%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
40.7%
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
52.5%
(cos.f64 re)
27.6%
#s(literal 1 binary64)
8.1%
#s(literal 1/4 binary64)
2.4%
#s(literal 0 binary64)
Compiler

Compiled 220 to 178 computations (19.1% saved)

localize733.0ms (12.8%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
99.9%
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))
98.1%
(log1p.f64 (expm1.f64 re))
Compiler

Compiled 62 to 39 computations (37.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 711.0ms
Operation ival-cos, time spent: 189.0ms, 27.0% of total-time
Operation composed, time spent: 184.0ms, 26.0% of total-time
Operation ival-mult, time spent: 99.0ms, 14.0% of total-time
Operation ival-log, time spent: 87.0ms, 12.0% of total-time
Operation ival-add, time spent: 68.0ms, 10.0% of total-time
Operation ival-pow, time spent: 54.0ms, 8.0% of total-time
Operation const, time spent: 13.0ms, 2.0% of total-time
Operation ival-exp, time spent: 12.0ms, 2.0% of total-time
Operation ival-sub, time spent: 6.0ms, 1.0% of total-time

series2.0ms (0%)

Counts
2 → 12
Calls
Call 1
Inputs
#<alt (log1p.f64 (expm1.f64 re))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))>
Outputs
#<alt re>
#<alt re>
#<alt re>
#<alt re>
#<alt re>
#<alt re>
#<alt re>
#<alt re>
#<alt re>
#<alt re>
#<alt re>
#<alt re>
Calls

6 calls:

TimeVariablePointExpression
0.0ms
im
@0
(* 1/24 (pow im 4))
0.0ms
re
@-inf
(log (+ 1 (- (exp re) 1)))
0.0ms
im
@inf
(* 1/24 (pow im 4))
0.0ms
re
@inf
(log (+ 1 (- (exp re) 1)))
0.0ms
im
@-inf
(* 1/24 (pow im 4))

rewrite71.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
401×log1p-expm1-u
400×expm1-log1p-u
395×unpow-prod-down
381×add-exp-log
365×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01420
111320
2117920
Stop Event
node limit
Counts
2 → 57
Calls
Call 1
Inputs
(log1p.f64 (expm1.f64 re))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))
Outputs
(+.f64 #s(literal 0 binary64) re)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 re) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 re))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 re))) (log.f64 (sqrt.f64 (exp.f64 re))))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 re) #s(literal 3 binary64))) (log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (expm1.f64 re) #s(literal 2 binary64)) (expm1.f64 re)))))
(-.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 1 binary64))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (expm1.f64 re) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (expm1.f64 re))))
(*.f64 re #s(literal 1 binary64))
(*.f64 re (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) re)
(*.f64 (cbrt.f64 re) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re))
(*.f64 (sqrt.f64 re) (sqrt.f64 re))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) re)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 re)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 re)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 re (cbrt.f64 re)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 re)))
(*.f64 (pow.f64 (pow.f64 re #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 re)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 re #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 re #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 re (cbrt.f64 re)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 re)))
(*.f64 (cbrt.f64 (pow.f64 re #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 re)))
(pow.f64 re #s(literal 1 binary64))
(pow.f64 (cbrt.f64 re) #s(literal 3 binary64))
(pow.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 re) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 re))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 re)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 re)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 re))) (sqrt.f64 (log.f64 re)))
(sqrt.f64 (pow.f64 re #s(literal 2 binary64)))
(log.f64 (exp.f64 re))
(cbrt.f64 (pow.f64 re #s(literal 3 binary64)))
re
(expm1.f64 (log1p.f64 re))
(exp.f64 (log.f64 re))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 re)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 re #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 re)) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 4 binary64))) #s(literal 1/12 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/24 binary64)) (pow.f64 im #s(literal 4 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/24 binary64)) (pow.f64 im #s(literal 4 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/24 binary64)) (pow.f64 im #s(literal 4 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 8 binary64)) #s(literal 1/576 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 12 binary64)) #s(literal 1/13824 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/24 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))))) (sqrt.f64 (log.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 8 binary64)) #s(literal 1/576 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/24 binary64)) (pow.f64 im #s(literal 4 binary64))))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 12 binary64)) #s(literal 1/13824 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 im #s(literal 12 binary64)) #s(literal 1/13824 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/24 binary64)))) #s(literal 2 binary64)))

simplify73.0ms (1.3%)

Algorithm
egg-herbie
Rules
741×distribute-lft-in
721×fma-define
686×prod-exp
651×distribute-rgt-in
322×fmm-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01701145
12711135
25761123
317171123
464961123
Stop Event
node limit
Counts
69 → 66
Calls
Call 1
Inputs
re
re
re
re
re
re
re
re
re
re
re
re
(+.f64 #s(literal 0 binary64) re)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 re) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 re))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 re))) (log.f64 (sqrt.f64 (exp.f64 re))))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 re) #s(literal 3 binary64))) (log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (expm1.f64 re) #s(literal 2 binary64)) (expm1.f64 re)))))
(-.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 1 binary64))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (expm1.f64 re) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (expm1.f64 re))))
(*.f64 re #s(literal 1 binary64))
(*.f64 re (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) re)
(*.f64 (cbrt.f64 re) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re))
(*.f64 (sqrt.f64 re) (sqrt.f64 re))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) re)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 re)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 re)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 re (cbrt.f64 re)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 re)))
(*.f64 (pow.f64 (pow.f64 re #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 re)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 re #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 re #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 re (cbrt.f64 re)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 re)))
(*.f64 (cbrt.f64 (pow.f64 re #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 re)))
(pow.f64 re #s(literal 1 binary64))
(pow.f64 (cbrt.f64 re) #s(literal 3 binary64))
(pow.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 re) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 re))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 re)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 re)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 re))) (sqrt.f64 (log.f64 re)))
(sqrt.f64 (pow.f64 re #s(literal 2 binary64)))
(log.f64 (exp.f64 re))
(cbrt.f64 (pow.f64 re #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 re))
(exp.f64 (log.f64 re))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 re)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 re #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 re)) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 4 binary64))) #s(literal 1/12 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/24 binary64)) (pow.f64 im #s(literal 4 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/24 binary64)) (pow.f64 im #s(literal 4 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/24 binary64)) (pow.f64 im #s(literal 4 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 8 binary64)) #s(literal 1/576 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 12 binary64)) #s(literal 1/13824 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/24 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))))) (sqrt.f64 (log.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 8 binary64)) #s(literal 1/576 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/24 binary64)) (pow.f64 im #s(literal 4 binary64))))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 12 binary64)) #s(literal 1/13824 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 im #s(literal 12 binary64)) #s(literal 1/13824 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/24 binary64)))) #s(literal 2 binary64)))
Outputs
re
re
re
re
re
re
re
re
re
re
re
re
(+.f64 #s(literal 0 binary64) re)
re
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 re) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 re))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) re))) (log.f64 (cbrt.f64 (exp.f64 re))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 re))) (log.f64 (sqrt.f64 (exp.f64 re))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 re))))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 re) #s(literal 3 binary64))) (log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (expm1.f64 re) #s(literal 2 binary64)) (expm1.f64 re)))))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 re) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (expm1.f64 re) #s(literal 2 binary64)) (expm1.f64 re))))
(-.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 1 binary64))
re
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (expm1.f64 re) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (expm1.f64 re))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (expm1.f64 re) #s(literal 2 binary64)))) (log1p.f64 (neg.f64 (expm1.f64 re))))
(*.f64 re #s(literal 1 binary64))
re
(*.f64 re (log.f64 (E.f64)))
re
(*.f64 #s(literal 1 binary64) re)
re
(*.f64 (cbrt.f64 re) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)))
re
(*.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re))
re
(*.f64 (sqrt.f64 re) (sqrt.f64 re))
re
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) re)
re
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 re)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 re)) #s(literal 3 binary64)))
re
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 re #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 re #s(literal 3 binary64)))))
(*.f64 (pow.f64 (pow.f64 (*.f64 re (cbrt.f64 re)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 re)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 re (cbrt.f64 re)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 re)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 re) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 re)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 re)))
(*.f64 (pow.f64 (pow.f64 re #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 re)))
(*.f64 (cbrt.f64 (pow.f64 re #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 re)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 re #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 re #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 re (cbrt.f64 re)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 re)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 re) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 re)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 re)))
(*.f64 (cbrt.f64 (pow.f64 re #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 re)))
(pow.f64 re #s(literal 1 binary64))
re
(pow.f64 (cbrt.f64 re) #s(literal 3 binary64))
re
(pow.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))
re
(pow.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/3 binary64))
re
(pow.f64 (sqrt.f64 re) #s(literal 2 binary64))
re
(pow.f64 (E.f64) (log.f64 re))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 re)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 re)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 re))) (sqrt.f64 (log.f64 re)))
(sqrt.f64 (pow.f64 re #s(literal 2 binary64)))
re
(log.f64 (exp.f64 re))
re
(cbrt.f64 (pow.f64 re #s(literal 3 binary64)))
re
(expm1.f64 (log1p.f64 re))
re
(exp.f64 (log.f64 re))
re
(exp.f64 (*.f64 (log.f64 (cbrt.f64 re)) #s(literal 3 binary64)))
re
(exp.f64 (*.f64 (log.f64 (pow.f64 re #s(literal 3 binary64))) #s(literal 1/3 binary64)))
re
(exp.f64 (*.f64 (log.f64 (sqrt.f64 re)) #s(literal 2 binary64)))
re
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 4 binary64))) #s(literal 1/12 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/24 binary64)) (pow.f64 im #s(literal 4 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/24 binary64)) (pow.f64 im #s(literal 4 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/24 binary64)) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/24 binary64)) (pow.f64 im #s(literal 4 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))
(pow.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 3 binary64))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))
(pow.f64 (*.f64 (pow.f64 im #s(literal 8 binary64)) #s(literal 1/576 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 8 binary64)) #s(literal 1/576 binary64)))
(pow.f64 (*.f64 (pow.f64 im #s(literal 12 binary64)) #s(literal 1/13824 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 12 binary64)) #s(literal 1/13824 binary64)))
(pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/24 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))))) (sqrt.f64 (log.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 8 binary64)) #s(literal 1/576 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/24 binary64)) (pow.f64 im #s(literal 4 binary64))))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 12 binary64)) #s(literal 1/13824 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 im #s(literal 12 binary64)) #s(literal 1/13824 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 12 binary64)) #s(literal 1/13824 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/24 binary64)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))

eval17.0ms (0.3%)

Compiler

Compiled 678 to 482 computations (28.9% saved)

prune21.0ms (0.4%)

Pruning

19 alts after pruning (5 fresh and 14 done)

PrunedKeptTotal
New65166
Fresh044
Picked055
Done099
Total651984
Accuracy
100.0%
Counts
84 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.4%
(+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))
17.6%
(+.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal -2 binary64)))
6.6%
(+.f64 #s(literal 1/4 binary64) (+.f64 re #s(literal 3 binary64)))
12.7%
(+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)))
17.1%
(+.f64 #s(literal 1/4 binary64) (log1p.f64 (expm1.f64 re)))
6.5%
(+.f64 #s(literal 1/4 binary64) re)
48.8%
(*.f64 (fma.f64 im im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/4 binary64))))
78.8%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
100.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
40.7%
(*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))) (cos.f64 re))
43.9%
(*.f64 (sqrt.f64 (*.f64 (pow.f64 im #s(literal 8 binary64)) #s(literal 1/576 binary64))) (cos.f64 re))
11.2%
(*.f64 #s(literal 2 binary64) (cos.f64 re))
49.0%
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
63.9%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
40.7%
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
52.5%
(cos.f64 re)
27.6%
#s(literal 1 binary64)
8.1%
#s(literal 1/4 binary64)
2.4%
#s(literal 0 binary64)
Compiler

Compiled 306 to 226 computations (26.1% saved)

regimes148.0ms (2.6%)

Counts
21 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1/4 binary64) re)
(+.f64 #s(literal 1/4 binary64) (+.f64 re #s(literal 3 binary64)))
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(+.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal -2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im 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 1/4 binary64) (log1p.f64 (expm1.f64 re)))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))) (cos.f64 re))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
(*.f64 (fma.f64 im im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 im #s(literal 8 binary64)) #s(literal 1/576 binary64))) (cos.f64 re))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (cos.f64 re))
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Calls

6 calls:

118.0ms
re
9.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
6.0ms
(cos.f64 re)
6.0ms
im
5.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
Results
AccuracySegmentsBranch
100.0%1re
100.0%1im
100.0%1(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
100.0%1(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
100.0%1(cos.f64 re)
100.0%1(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
Compiler

Compiled 37 to 28 computations (24.3% saved)

regimes44.0ms (0.8%)

Counts
18 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1/4 binary64) re)
(+.f64 #s(literal 1/4 binary64) (+.f64 re #s(literal 3 binary64)))
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(+.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal -2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im 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 1/4 binary64) (log1p.f64 (expm1.f64 re)))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))) (cos.f64 re))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
(*.f64 (fma.f64 im im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 im #s(literal 8 binary64)) #s(literal 1/576 binary64))) (cos.f64 re))
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 im #s(literal 8 binary64)) #s(literal 1/576 binary64))) (cos.f64 re))
Calls

4 calls:

16.0ms
im
11.0ms
re
8.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
8.0ms
(cos.f64 re)
Results
AccuracySegmentsBranch
89.6%2re
98.0%3im
89.6%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
89.6%2(cos.f64 re)
Compiler

Compiled 16 to 12 computations (25% saved)

regimes15.0ms (0.3%)

Counts
17 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1/4 binary64) re)
(+.f64 #s(literal 1/4 binary64) (+.f64 re #s(literal 3 binary64)))
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(+.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal -2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im 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 1/4 binary64) (log1p.f64 (expm1.f64 re)))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))) (cos.f64 re))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
(*.f64 (fma.f64 im im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/4 binary64))))
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
Calls

1 calls:

14.0ms
im
Results
AccuracySegmentsBranch
96.5%3im
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes13.0ms (0.2%)

Counts
15 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1/4 binary64) re)
(+.f64 #s(literal 1/4 binary64) (+.f64 re #s(literal 3 binary64)))
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(+.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal -2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im 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 1/4 binary64) (log1p.f64 (expm1.f64 re)))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))) (cos.f64 re))
Outputs
(cos.f64 re)
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
Calls

1 calls:

12.0ms
im
Results
AccuracySegmentsBranch
96.2%3im
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.2%)

Counts
13 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1/4 binary64) re)
(+.f64 #s(literal 1/4 binary64) (+.f64 re #s(literal 3 binary64)))
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(+.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal -2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im 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 1/4 binary64) (log1p.f64 (expm1.f64 re)))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
Outputs
(cos.f64 re)
(+.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal -2 binary64)))
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
Calls

1 calls:

10.0ms
im
Results
AccuracySegmentsBranch
91.9%3im
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes73.0ms (1.3%)

Counts
12 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1/4 binary64) re)
(+.f64 #s(literal 1/4 binary64) (+.f64 re #s(literal 3 binary64)))
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(+.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal -2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im 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 1/4 binary64) (log1p.f64 (expm1.f64 re)))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
Outputs
(cos.f64 re)
(+.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal -2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
Calls

3 calls:

10.0ms
im
7.0ms
re
6.0ms
(cos.f64 re)
Results
AccuracySegmentsBranch
66.6%2re
70.0%4(cos.f64 re)
79.5%3im
Compiler

Compiled 10 to 7 computations (30% saved)

regimes14.0ms (0.2%)

Counts
8 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1/4 binary64) re)
(+.f64 #s(literal 1/4 binary64) (+.f64 re #s(literal 3 binary64)))
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(+.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal -2 binary64)))
Outputs
(cos.f64 re)
(+.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal -2 binary64)))
Calls

3 calls:

6.0ms
re
5.0ms
im
2.0ms
(cos.f64 re)
Results
AccuracySegmentsBranch
55.5%2re
52.5%1(cos.f64 re)
64.9%2im
Compiler

Compiled 10 to 7 computations (30% saved)

regimes10.0ms (0.2%)

Counts
7 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1/4 binary64) re)
(+.f64 #s(literal 1/4 binary64) (+.f64 re #s(literal 3 binary64)))
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (cos.f64 re))
Outputs
(cos.f64 re)
Calls

3 calls:

3.0ms
im
3.0ms
re
2.0ms
(cos.f64 re)
Results
AccuracySegmentsBranch
52.5%1(cos.f64 re)
52.5%1re
52.5%1im
Compiler

Compiled 10 to 7 computations (30% saved)

regimes5.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1/4 binary64) re)
(+.f64 #s(literal 1/4 binary64) (+.f64 re #s(literal 3 binary64)))
Outputs
#s(literal 1 binary64)
Calls

2 calls:

2.0ms
re
2.0ms
im
Results
AccuracySegmentsBranch
27.6%1re
27.6%1im
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1/4 binary64)
Outputs
#s(literal 1/4 binary64)
Calls

2 calls:

1.0ms
im
1.0ms
re
Results
AccuracySegmentsBranch
8.1%1re
8.1%1im
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
Outputs
#s(literal 0 binary64)
Calls

2 calls:

1.0ms
im
1.0ms
re
Results
AccuracySegmentsBranch
2.4%1re
2.4%1im
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch25.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
6.0ms
6.969636340678343e+37
7.613199138840046e+37
19.0ms
0.0010150152798735503
0.005423179268038094
Results
16.0ms96×256valid
5.0ms31×256infinite
0.0ms256infinite
Compiler

Compiled 202 to 160 computations (20.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
Operation ival-cos, time spent: 4.0ms, 37.0% of total-time
Operation ival-exp, time spent: 3.0ms, 28.0% of total-time
Operation ival-mult, time spent: 2.0ms, 19.0% of total-time
Operation ival-add, time spent: 1.0ms, 9.0% of total-time
Operation ival-neg, time spent: 1.0ms, 9.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch43.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
25.0ms
4.974172611373497e+68
2.939837929207012e+71
18.0ms
0.0010150152798735503
0.005423179268038094
Results
22.0ms127×256infinite
16.0ms96×256valid
0.0ms256infinite
Compiler

Compiled 332 to 266 computations (19.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
Operation ival-exp, time spent: 6.0ms, 32.0% of total-time
Operation ival-cos, time spent: 6.0ms, 32.0% of total-time
Operation ival-mult, time spent: 4.0ms, 21.0% of total-time
Operation ival-add, time spent: 1.0ms, 5.0% of total-time
Operation ival-neg, time spent: 1.0ms, 5.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch45.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
24.0ms
4.974172611373497e+68
2.939837929207012e+71
21.0ms
4.1030120728780255e-14
3.694028696548689e-13
Results
20.0ms127×256infinite
19.0ms96×256valid
0.0ms256infinite
Compiler

Compiled 290 to 236 computations (18.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
Operation ival-cos, time spent: 6.0ms, 38.0% of total-time
Operation ival-mult, time spent: 4.0ms, 26.0% of total-time
Operation ival-exp, time spent: 3.0ms, 19.0% of total-time
Operation ival-add, time spent: 1.0ms, 6.0% of total-time
Operation ival-neg, time spent: 1.0ms, 6.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch56.0ms (1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
56.0ms
9.98255524734626e+59
8.367523217203822e+61
0.0ms
14051086.41903341
14475387.638340153
Results
53.0ms111×256infinite
0.0ms256infinite
Compiler

Compiled 151 to 126 computations (16.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
Operation ival-mult, time spent: 37.0ms, 83.0% of total-time
Operation ival-cos, time spent: 5.0ms, 11.0% of total-time
Operation ival-exp, time spent: 1.0ms, 2.0% of total-time
Operation ival-add, time spent: 1.0ms, 2.0% of total-time
Operation ival-neg, time spent: 1.0ms, 2.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch21.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
21.0ms
9.603065012255323e+153
1.9119100624630973e+156
0.0ms
14051086.41903341
14475387.638340153
Results
18.0ms111×256infinite
0.0ms256infinite
Compiler

Compiled 137 to 112 computations (18.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
Operation ival-cos, time spent: 3.0ms, 40.0% of total-time
Operation ival-mult, time spent: 2.0ms, 27.0% of total-time
Operation ival-exp, time spent: 1.0ms, 13.0% of total-time
Operation ival-add, time spent: 1.0ms, 13.0% of total-time
Operation ival-neg, time spent: 1.0ms, 13.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
14051086.41903341
14475387.638340153
Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify13.0ms (0.2%)

Algorithm
egg-herbie
Rules
10×*-commutative
1-exp
+-commutative
sub-neg
neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067569
185569
287569
388569
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(if (<=.f64 im #s(literal 3112888062438487/576460752303423488 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64))) (if (<=.f64 im #s(literal 75000000000000003033973850461670735872 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (sqrt.f64 (*.f64 (pow.f64 im #s(literal 8 binary64)) #s(literal 1/576 binary64))) (cos.f64 re))))
(if (<=.f64 im #s(literal 3112888062438487/576460752303423488 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64))) (if (<=.f64 im #s(literal 290000000000000007241656682850478461360805334444708714531628845436502016 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))))
(if (<=.f64 im #s(literal 3565267313141895/9903520314283042199192993792 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 290000000000000007241656682850478461360805334444708714531628845436502016 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))))
(if (<=.f64 im #s(literal 14200000 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 81999999999999994422497401654109666032732921453604489610133504 binary64)) (+.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal -2 binary64))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))))
(if (<=.f64 im #s(literal 14200000 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (+.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))))
(if (<=.f64 im #s(literal 14200000 binary64)) (cos.f64 re) (+.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal -2 binary64))))
(cos.f64 re)
#s(literal 1 binary64)
#s(literal 1/4 binary64)
#s(literal 0 binary64)
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(if (<=.f64 im #s(literal 3112888062438487/576460752303423488 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64))) (if (<=.f64 im #s(literal 75000000000000003033973850461670735872 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (sqrt.f64 (*.f64 (pow.f64 im #s(literal 8 binary64)) #s(literal 1/576 binary64))) (cos.f64 re))))
(if (<=.f64 im #s(literal 3112888062438487/576460752303423488 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64))) (if (<=.f64 im #s(literal 75000000000000003033973850461670735872 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (cos.f64 re) (sqrt.f64 (*.f64 (pow.f64 im #s(literal 8 binary64)) #s(literal 1/576 binary64))))))
(if (<=.f64 im #s(literal 3112888062438487/576460752303423488 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64))) (if (<=.f64 im #s(literal 290000000000000007241656682850478461360805334444708714531628845436502016 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))))
(if (<=.f64 im #s(literal 3112888062438487/576460752303423488 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64))) (if (<=.f64 im #s(literal 290000000000000007241656682850478461360805334444708714531628845436502016 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(literal 1/24 binary64) (*.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))))))
(if (<=.f64 im #s(literal 3565267313141895/9903520314283042199192993792 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 290000000000000007241656682850478461360805334444708714531628845436502016 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))))
(if (<=.f64 im #s(literal 3565267313141895/9903520314283042199192993792 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 290000000000000007241656682850478461360805334444708714531628845436502016 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(literal 1/24 binary64) (*.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))))))
(if (<=.f64 im #s(literal 14200000 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 81999999999999994422497401654109666032732921453604489610133504 binary64)) (+.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal -2 binary64))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))))
(if (<=.f64 im #s(literal 14200000 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 81999999999999994422497401654109666032732921453604489610133504 binary64)) (+.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal -2 binary64))) (*.f64 #s(literal 1/24 binary64) (*.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))))))
(if (<=.f64 im #s(literal 14200000 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (+.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))))
(if (<=.f64 im #s(literal 14200000 binary64)) (cos.f64 re) (+.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal -2 binary64))))
(cos.f64 re)
#s(literal 1 binary64)
#s(literal 1/4 binary64)
#s(literal 0 binary64)
Compiler

Compiled 186 to 138 computations (25.8% saved)

soundness762.0ms (13.3%)

Rules
826×distribute-lft-in
815×distribute-rgt-in
770×associate-+r+
741×distribute-lft-in
721×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01701145
12711135
25761123
317171123
464961123
01420
111320
2117920
02480
132280
2519180
04179713
110679161
237108676
01142091
13291912
210981721
339751662
01669
120269
2330669
Stop Event
unsound
node limit
node limit
unsound
node limit
node limit
Compiler

Compiled 430 to 305 computations (29.1% saved)

end0.0ms (0%)

preprocess133.0ms (2.3%)

Remove

(abs im)

(abs re)

Compiler

Compiled 670 to 458 computations (31.6% saved)

Profiling

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