math.cos on complex, real part

Time bar (total: 5.8s)

analyze0.0ms (0%)

Algorithm
1×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
ival-exp: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-cos: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
const: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

sample1.4s (24.6%)

Results
946.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 725.0ms
ival-cos: 319.0ms (44% of total)
ival-exp: 178.0ms (24.6% of total)
ival-mult: 124.0ms (17.1% of total)
ival-add: 49.0ms (6.8% of total)
ival-neg: 40.0ms (5.5% of total)
const: 11.0ms (1.5% of total)
backward-pass: 4.0ms (0.6% of total)
Bogosity

preprocess187.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
830×fma-define
412×fma-neg
102×times-frac
96×associate-*r*
87×distribute-lft-neg-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
032316
1100308
2280308
3673298
41117294
51661294
62231294
72749294
82903294
92917294
102917294
112917294
Stop Event
1×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)

explain234.0ms (4%)

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)
Results
194.0ms512×256valid
Compiler

Compiled 85 to 38 computations (55.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 109.0ms
ival-cos: 82.0ms (75.2% of total)
ival-mult: 11.0ms (10.1% of total)
ival-exp: 7.0ms (6.4% of total)
ival-add: 4.0ms (3.7% of total)
ival-neg: 4.0ms (3.7% of total)
const: 1.0ms (0.9% of total)

eval1.0ms (0%)

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)))
▶100.0%
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
Compiler

Compiled 26 to 19 computations (26.9% saved)

localize206.0ms (3.6%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
✓100.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
✓100.0%
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
✓100.0%
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
✓100.0%
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
✓100.0%
(/.f64 #s(literal 1/2 binary64) (exp.f64 im))
Results
185.0ms256×256valid
Compiler

Compiled 66 to 26 computations (60.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 111.0ms
ival-div: 76.0ms (68.2% of total)
ival-mult: 10.0ms (9% of total)
ival-cos: 8.0ms (7.2% of total)
<compiled-spec>: 7.0ms (6.3% of total)
ival-exp: 4.0ms (3.6% of total)
ival-add: 4.0ms (3.6% of total)
const: 1.0ms (0.9% of total)
ival-neg: 1.0ms (0.9% of total)

series22.0ms (0.4%)

Counts
5 → 76
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1/2 binary64) (exp.f64 im))>
#<alt (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))>
#<alt (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))>
#<alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
Outputs
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) im))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/4 binary64) im) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/12 binary64) im))) #s(literal 1/2 binary64))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (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 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 2 binary64))))))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))) (*.f64 #s(literal 1/24 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))))))))>
#<alt (*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))>
#<alt (*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))>
#<alt (*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))>
#<alt (*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))>
#<alt (*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))>
#<alt (*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))>
#<alt (*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))>
#<alt (*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.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 (cos.f64 re) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))>
#<alt (*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))>
#<alt (*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))>
#<alt (*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))>
#<alt (*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))>
#<alt (*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))>
#<alt (*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))>
#<alt (*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 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)))>
#<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)))))>
Calls

21 calls:

TimeVariablePointExpression
3.0ms
im
@inf
(* (cos re) (+ (* 1/2 (exp im)) (/ 1/2 (exp im))))
2.0ms
im
@-inf
(+ (* 1/2 (exp im)) (/ 1/2 (exp im)))
1.0ms
im
@-inf
(+ (exp (neg im)) (exp im))
1.0ms
re
@inf
(* (cos re) (+ (* 1/2 (exp im)) (/ 1/2 (exp im))))
1.0ms
im
@inf
(+ (* 1/2 (exp im)) (/ 1/2 (exp im)))

rewrite244.0ms (4.2%)

Algorithm
1×batch-egg-rewrite
Rules
134×associate-*r*
120×add-exp-log
120×add-log-exp
120×log1p-expm1-u
120×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020126
1270126
24363126
Stop Event
1×unsound
Counts
5 → 64
Calls
Call 1
Inputs
(/.f64 #s(literal 1/2 binary64) (exp.f64 im))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(+.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)))
Outputs
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal -1/2 binary64))
(/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))))
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/2 binary64) (cos.f64 re))) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/2 binary64) (cos.f64 re))))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(fabs.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(log.f64 (pow.f64 #s(literal -1 binary64) (cos.f64 re)))
(log.f64 (+.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))))
(cbrt.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re))))
(exp.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re))) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal -1/2 binary64))
(/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))))
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/2 binary64) (cos.f64 re))) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/2 binary64) (cos.f64 re))))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(fabs.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(log.f64 (pow.f64 #s(literal -1 binary64) (cos.f64 re)))
(log.f64 (+.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))))
(cbrt.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re))))
(exp.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re))) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))

simplify106.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
763×div-sub
363×associate-+l+
332×distribute-rgt-in
332×distribute-lft-in
331×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01631542
15221212
218811172
346231172
471501172
Stop Event
1×node limit
Counts
140 → 77
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) im))
(+.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/4 binary64) im) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/12 binary64) im))) #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (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)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 2 binary64))))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))) (*.f64 #s(literal 1/24 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))))))))
(*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.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 (cos.f64 re) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 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 #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 -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal -1/2 binary64))
(/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))))
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/2 binary64) (cos.f64 re))) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/2 binary64) (cos.f64 re))))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(fabs.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(log.f64 (pow.f64 #s(literal -1 binary64) (cos.f64 re)))
(log.f64 (+.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))))
(cbrt.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re))))
(exp.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re))) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal -1/2 binary64))
(/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))))
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/2 binary64) (cos.f64 re))) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/2 binary64) (cos.f64 re))))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(fabs.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(log.f64 (pow.f64 #s(literal -1 binary64) (cos.f64 re)))
(log.f64 (+.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))))
(cbrt.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re))))
(exp.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re))) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
Outputs
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) im))
(fma.f64 #s(literal -1/2 binary64) im #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/4 binary64) im) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 im (fma.f64 #s(literal 1/4 binary64) im #s(literal -1/2 binary64))))
(fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/12 binary64) im))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 im (fma.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal -1/12 binary64))) #s(literal -1/2 binary64))))
(fma.f64 im (fma.f64 im (fma.f64 im #s(literal -1/12 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
#s(literal 1 binary64)
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 im (fma.f64 #s(literal 1/4 binary64) im #s(literal -1/2 binary64))))
(fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 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)) (+.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)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 2 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 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 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))
#s(literal 1/2 binary64)
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))
#s(literal 1/2 binary64)
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))
#s(literal 1/2 binary64)
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))
#s(literal 1/2 binary64)
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))
#s(literal 1/2 binary64)
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))
#s(literal 1/2 binary64)
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))
#s(literal 1/2 binary64)
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))
#s(literal 1/2 binary64)
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))
#s(literal 1/2 binary64)
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (pow.f64 re #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))))))))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (*.f64 #s(literal 1/24 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (pow.f64 re #s(literal 2 binary64)))))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (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)))) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))) (*.f64 #s(literal 1/24 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))))))))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))))))))
(+.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/4 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/720 binary64)))))))
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/720 binary64)))) (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)) #s(literal -1/4 binary64)))))
(*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
#s(literal 1/2 binary64)
(*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
#s(literal 1/2 binary64)
(*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
#s(literal 1/2 binary64)
(*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 im)))))
#s(literal 1/2 binary64)
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#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
(+.f64 (cos.f64 re) (cos.f64 re))
#s(literal 1/2 binary64)
(+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
#s(literal 1/2 binary64)
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))) #s(literal -1 binary64))
#s(literal 1/2 binary64)
(/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal -1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal -1 binary64))
#s(literal 1/2 binary64)
(/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))))
#s(literal 1/2 binary64)
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/2 binary64) (cos.f64 re))) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/2 binary64) (cos.f64 re))))
#s(literal 1/2 binary64)
(pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal -1/2 binary64))
#s(literal 1/2 binary64)
(pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal -1 binary64))
#s(literal 1/2 binary64)
(pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal 3 binary64))
#s(literal 1/2 binary64)
(pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal 1/3 binary64))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
#s(literal 1/2 binary64)
(fabs.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
#s(literal 1/2 binary64)
(log.f64 (pow.f64 #s(literal -1 binary64) (cos.f64 re)))
#s(literal 1/2 binary64)
(log.f64 (+.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))))
#s(literal 1/2 binary64)
(cbrt.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
#s(literal 1/2 binary64)
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re))))
#s(literal 1/2 binary64)
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re))))
#s(literal 1/2 binary64)
(exp.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re))))
#s(literal 1/2 binary64)
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re))) #s(literal -1 binary64)))
#s(literal 1/2 binary64)
(exp.f64 (+.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re))) #s(literal -1/2 binary64)))
#s(literal 1/2 binary64)
(fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
#s(literal 1/2 binary64)
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))
#s(literal 1/2 binary64)

eval16.0ms (0.3%)

Compiler

Compiled 1241 to 780 computations (37.1% saved)

prune14.0ms (0.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New72577
Fresh000
Picked112
Done000
Total73679
Accuracy
100.0%
Counts
79 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶10.8%
(+.f64 (cos.f64 re) (cos.f64 re))
✓100.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
▶73.1%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))
▶98.3%
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))
▶59.2%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
▶49.7%
(cos.f64 re)
Compiler

Compiled 99 to 76 computations (23.2% saved)

localize161.0ms (2.8%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
✓99.9%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))
✓100.0%
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
✓100.0%
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))
✓100.0%
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))
Results
132.0ms256×256valid
Compiler

Compiled 85 to 37 computations (56.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 101.0ms
ival-exp: 49.0ms (48.7% of total)
ival-mult: 12.0ms (11.9% of total)
ival-add: 10.0ms (9.9% of total)
ival-pow: 9.0ms (8.9% of total)
<compiled-spec>: 8.0ms (7.9% of total)
ival-cos: 7.0ms (7% of total)
ival-neg: 4.0ms (4% of total)
const: 2.0ms (2% of total)

series15.0ms (0.3%)

Counts
4 → 68
Calls
Call 1
Inputs
#<alt (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))>
#<alt (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))>
#<alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))>
Outputs
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))>
#<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 1/2 binary64) (exp.f64 im))))) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))>
#<alt (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))))))))>
#<alt (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (*.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 1/2 binary64) (exp.f64 im))))) (*.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))))))))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))>
#<alt (cos.f64 re)>
#<alt (+.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 im (cos.f64 re))))>
#<alt (+.f64 (cos.f64 re) (*.f64 im (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 im (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))>
#<alt (+.f64 (cos.f64 re) (*.f64 im (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 im (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 im (cos.f64 re))) (*.f64 #s(literal 1/4 binary64) (cos.f64 re)))))))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im))))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 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 (*.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)))>
#<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

18 calls:

TimeVariablePointExpression
3.0ms
im
@inf
(* (* 1/2 (cos re)) (+ 2 (pow im 2)))
3.0ms
re
@0
(* (cos re) (+ (* 1/2 (exp im)) 1/2))
1.0ms
re
@inf
(* (* 1/2 (cos re)) (+ 2 (pow im 2)))
1.0ms
re
@0
(* (* 1/2 (cos re)) (+ 2 (pow im 2)))
1.0ms
re
@-inf
(* (* 1/2 (cos re)) (+ 2 (pow im 2)))

rewrite43.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
136×associate-*r*
135×log1p-expm1-u
135×expm1-log1p-u
133×add-exp-log
133×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02290
130290
2490290
Stop Event
1×unsound
Counts
4 → 74
Calls
Call 1
Inputs
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))
Outputs
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 #s(literal -2 binary64) (cos.f64 re))
(-.f64 (cos.f64 re) #s(literal -2 binary64))
(/.f64 (cos.f64 re) #s(literal -2 binary64))
(/.f64 (cos.f64 re) (+.f64 (cos.f64 re) (-.f64 (cos.f64 re) (cos.f64 re))))
(/.f64 (+.f64 (cos.f64 (+.f64 re re)) (cos.f64 (-.f64 re re))) #s(literal -2 binary64))
(/.f64 (-.f64 (cos.f64 re) (cos.f64 re)) (-.f64 (cos.f64 re) (cos.f64 re)))
(pow.f64 (cos.f64 re) #s(literal -2 binary64))
(pow.f64 (cos.f64 re) #s(literal 1/3 binary64))
(sqrt.f64 (cos.f64 re))
(fabs.f64 (cos.f64 re))
(log.f64 (exp.f64 (cos.f64 re)))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (cos.f64 re))))
(cbrt.f64 (cos.f64 re))
(cos.f64 re)
(expm1.f64 (log.f64 (cos.f64 re)))
(log1p.f64 (expm1.f64 (cos.f64 re)))
(exp.f64 (log.f64 (cos.f64 re)))
(exp.f64 (*.f64 (log.f64 (cos.f64 re)) #s(literal -2 binary64)))
(fma.f64 (cos.f64 re) #s(literal -2 binary64) (cos.f64 re))
(fma.f64 #s(literal -2 binary64) (cos.f64 re) (cos.f64 re))
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 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 6 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 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 6 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 #s(literal -2 binary64) (cos.f64 re))
(-.f64 (cos.f64 re) #s(literal -2 binary64))
(/.f64 (cos.f64 re) #s(literal -2 binary64))
(/.f64 (cos.f64 re) (+.f64 (cos.f64 re) (-.f64 (cos.f64 re) (cos.f64 re))))
(/.f64 (+.f64 (cos.f64 (+.f64 re re)) (cos.f64 (-.f64 re re))) #s(literal -2 binary64))
(/.f64 (-.f64 (cos.f64 re) (cos.f64 re)) (-.f64 (cos.f64 re) (cos.f64 re)))
(pow.f64 (cos.f64 re) #s(literal -2 binary64))
(pow.f64 (cos.f64 re) #s(literal 1/3 binary64))
(sqrt.f64 (cos.f64 re))
(fabs.f64 (cos.f64 re))
(log.f64 (exp.f64 (cos.f64 re)))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (cos.f64 re))))
(cbrt.f64 (cos.f64 re))
(cos.f64 re)
(expm1.f64 (log.f64 (cos.f64 re)))
(log1p.f64 (expm1.f64 (cos.f64 re)))
(exp.f64 (log.f64 (cos.f64 re)))
(exp.f64 (*.f64 (log.f64 (cos.f64 re)) #s(literal -2 binary64)))
(fma.f64 (cos.f64 re) #s(literal -2 binary64) (cos.f64 re))
(fma.f64 #s(literal -2 binary64) (cos.f64 re) (cos.f64 re))

simplify88.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
863×fma-define
516×associate-*r*
385×distribute-lft-out
372×distribute-rgt-out
366×associate-*l*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01563091
14502712
215172575
358662504
Stop Event
1×node limit
Counts
142 → 122
Calls
Call 1
Inputs
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+.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 1/2 binary64) (exp.f64 im))))) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))))))))
(+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (*.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 1/2 binary64) (exp.f64 im))))) (*.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))))))))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(cos.f64 re)
(+.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 im (cos.f64 re))))
(+.f64 (cos.f64 re) (*.f64 im (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 im (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(+.f64 (cos.f64 re) (*.f64 im (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 im (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 im (cos.f64 re))) (*.f64 #s(literal 1/4 binary64) (cos.f64 re)))))))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im))))
(+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 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 (*.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 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.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)))))
(+.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))))))))
(+.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)))))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 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 #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 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(*.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 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.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)))))
(*.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)))))
(*.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 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.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)))))
(*.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)))))
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 #s(literal -2 binary64) (cos.f64 re))
(-.f64 (cos.f64 re) #s(literal -2 binary64))
(/.f64 (cos.f64 re) #s(literal -2 binary64))
(/.f64 (cos.f64 re) (+.f64 (cos.f64 re) (-.f64 (cos.f64 re) (cos.f64 re))))
(/.f64 (+.f64 (cos.f64 (+.f64 re re)) (cos.f64 (-.f64 re re))) #s(literal -2 binary64))
(/.f64 (-.f64 (cos.f64 re) (cos.f64 re)) (-.f64 (cos.f64 re) (cos.f64 re)))
(pow.f64 (cos.f64 re) #s(literal -2 binary64))
(pow.f64 (cos.f64 re) #s(literal 1/3 binary64))
(sqrt.f64 (cos.f64 re))
(fabs.f64 (cos.f64 re))
(log.f64 (exp.f64 (cos.f64 re)))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (cos.f64 re))))
(cbrt.f64 (cos.f64 re))
(cos.f64 re)
(expm1.f64 (log.f64 (cos.f64 re)))
(log1p.f64 (expm1.f64 (cos.f64 re)))
(exp.f64 (log.f64 (cos.f64 re)))
(exp.f64 (*.f64 (log.f64 (cos.f64 re)) #s(literal -2 binary64)))
(fma.f64 (cos.f64 re) #s(literal -2 binary64) (cos.f64 re))
(fma.f64 #s(literal -2 binary64) (cos.f64 re) (cos.f64 re))
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 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 6 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 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 6 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 #s(literal -2 binary64) (cos.f64 re))
(-.f64 (cos.f64 re) #s(literal -2 binary64))
(/.f64 (cos.f64 re) #s(literal -2 binary64))
(/.f64 (cos.f64 re) (+.f64 (cos.f64 re) (-.f64 (cos.f64 re) (cos.f64 re))))
(/.f64 (+.f64 (cos.f64 (+.f64 re re)) (cos.f64 (-.f64 re re))) #s(literal -2 binary64))
(/.f64 (-.f64 (cos.f64 re) (cos.f64 re)) (-.f64 (cos.f64 re) (cos.f64 re)))
(pow.f64 (cos.f64 re) #s(literal -2 binary64))
(pow.f64 (cos.f64 re) #s(literal 1/3 binary64))
(sqrt.f64 (cos.f64 re))
(fabs.f64 (cos.f64 re))
(log.f64 (exp.f64 (cos.f64 re)))
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (cos.f64 re))))
(cbrt.f64 (cos.f64 re))
(cos.f64 re)
(expm1.f64 (log.f64 (cos.f64 re)))
(log1p.f64 (expm1.f64 (cos.f64 re)))
(exp.f64 (log.f64 (cos.f64 re)))
(exp.f64 (*.f64 (log.f64 (cos.f64 re)) #s(literal -2 binary64)))
(fma.f64 (cos.f64 re) #s(literal -2 binary64) (cos.f64 re))
(fma.f64 #s(literal -2 binary64) (cos.f64 re) (cos.f64 re))
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #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 1/2 binary64) (exp.f64 im))))) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal -1/4 binary64) (*.f64 (exp.f64 im) #s(literal -1/4 binary64)))))
(*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (exp.f64 im) #s(literal 1 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))))))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) (*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/24 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))))
(+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (*.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 1/2 binary64) (exp.f64 im))))) (*.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))))))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) (pow.f64 re #s(literal 2 binary64))) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))))))))
(+.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 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/720 binary64)))) (+.f64 #s(literal -1/4 binary64) (*.f64 (exp.f64 im) #s(literal -1/4 binary64)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
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(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (cos.f64 re) (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 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))
(*.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 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))
(*.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 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 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 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.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)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.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)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 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 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.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)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.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)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))
(*.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) (cos.f64 re))
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(+.f64 #s(literal -2 binary64) (cos.f64 re))
(+.f64 (cos.f64 re) #s(literal -2 binary64))
(-.f64 (cos.f64 re) #s(literal -2 binary64))
(+.f64 (cos.f64 re) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (cos.f64 re))
(/.f64 (cos.f64 re) #s(literal -2 binary64))
(/.f64 (cos.f64 re) (+.f64 (cos.f64 re) (-.f64 (cos.f64 re) (cos.f64 re))))
#s(literal 1 binary64)
(/.f64 (+.f64 (cos.f64 (+.f64 re re)) (cos.f64 (-.f64 re re))) #s(literal -2 binary64))
(/.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) re)) (cos.f64 #s(literal 0 binary64))) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 re #s(literal 2 binary64)))) #s(literal -2 binary64))
(/.f64 (-.f64 (cos.f64 re) (cos.f64 re)) (-.f64 (cos.f64 re) (cos.f64 re)))
#s(literal 1 binary64)
(pow.f64 (cos.f64 re) #s(literal -2 binary64))
(pow.f64 (cos.f64 re) #s(literal 1/3 binary64))
(cbrt.f64 (cos.f64 re))
(sqrt.f64 (cos.f64 re))
(fabs.f64 (cos.f64 re))
(log.f64 (exp.f64 (cos.f64 re)))
(cos.f64 re)
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (cos.f64 re))))
(cbrt.f64 (cos.f64 re))
(cos.f64 re)
(expm1.f64 (log.f64 (cos.f64 re)))
(-.f64 (cos.f64 re) #s(literal 1 binary64))
(+.f64 (cos.f64 re) #s(literal -1 binary64))
(log1p.f64 (expm1.f64 (cos.f64 re)))
(cos.f64 re)
(exp.f64 (log.f64 (cos.f64 re)))
(cos.f64 re)
(exp.f64 (*.f64 (log.f64 (cos.f64 re)) #s(literal -2 binary64)))
(pow.f64 (cos.f64 re) #s(literal -2 binary64))
(fma.f64 (cos.f64 re) #s(literal -2 binary64) (cos.f64 re))
(neg.f64 (cos.f64 re))
(fma.f64 #s(literal -2 binary64) (cos.f64 re) (cos.f64 re))
(fma.f64 (cos.f64 re) #s(literal -2 binary64) (cos.f64 re))
(neg.f64 (cos.f64 re))
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 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 6 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 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 6 binary64)
#s(literal 8 binary64)
#s(literal 16 binary64)
#s(literal 64 binary64)
#s(literal 512 binary64)
(+.f64 (cos.f64 re) (cos.f64 re))
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(+.f64 #s(literal -2 binary64) (cos.f64 re))
(+.f64 (cos.f64 re) #s(literal -2 binary64))
(-.f64 (cos.f64 re) #s(literal -2 binary64))
(+.f64 (cos.f64 re) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (cos.f64 re))
(/.f64 (cos.f64 re) #s(literal -2 binary64))
(/.f64 (cos.f64 re) (+.f64 (cos.f64 re) (-.f64 (cos.f64 re) (cos.f64 re))))
#s(literal 1 binary64)
(/.f64 (+.f64 (cos.f64 (+.f64 re re)) (cos.f64 (-.f64 re re))) #s(literal -2 binary64))
(/.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) re)) (cos.f64 #s(literal 0 binary64))) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 re #s(literal 2 binary64)))) #s(literal -2 binary64))
(/.f64 (-.f64 (cos.f64 re) (cos.f64 re)) (-.f64 (cos.f64 re) (cos.f64 re)))
#s(literal 1 binary64)
(pow.f64 (cos.f64 re) #s(literal -2 binary64))
(pow.f64 (cos.f64 re) #s(literal 1/3 binary64))
(cbrt.f64 (cos.f64 re))
(sqrt.f64 (cos.f64 re))
(fabs.f64 (cos.f64 re))
(log.f64 (exp.f64 (cos.f64 re)))
(cos.f64 re)
(log.f64 (+.f64 #s(literal -2 binary64) (expm1.f64 (cos.f64 re))))
(cbrt.f64 (cos.f64 re))
(cos.f64 re)
(expm1.f64 (log.f64 (cos.f64 re)))
(-.f64 (cos.f64 re) #s(literal 1 binary64))
(+.f64 (cos.f64 re) #s(literal -1 binary64))
(log1p.f64 (expm1.f64 (cos.f64 re)))
(cos.f64 re)
(exp.f64 (log.f64 (cos.f64 re)))
(cos.f64 re)
(exp.f64 (*.f64 (log.f64 (cos.f64 re)) #s(literal -2 binary64)))
(pow.f64 (cos.f64 re) #s(literal -2 binary64))
(fma.f64 (cos.f64 re) #s(literal -2 binary64) (cos.f64 re))
(neg.f64 (cos.f64 re))
(fma.f64 #s(literal -2 binary64) (cos.f64 re) (cos.f64 re))
(fma.f64 (cos.f64 re) #s(literal -2 binary64) (cos.f64 re))
(neg.f64 (cos.f64 re))

eval26.0ms (0.4%)

Compiler

Compiled 1479 to 1004 computations (32.1% saved)

prune28.0ms (0.5%)

Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New11210122
Fresh000
Picked325
Done011
Total11513128
Accuracy
100.0%
Counts
128 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶58.4%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
▶98.3%
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
✓100.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
81.0%
(*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))))
▶72.0%
(*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64))))))
50.1%
(*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))
73.1%
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))
▶8.4%
(*.f64 (cos.f64 re) #s(literal 512 binary64))
8.8%
(*.f64 (cos.f64 re) #s(literal 64 binary64))
40.3%
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
✓59.2%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
▶25.7%
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
✓49.7%
(cos.f64 re)
Compiler

Compiled 221 to 177 computations (19.9% saved)

localize133.0ms (2.3%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
✓100.0%
(*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64))))
✓99.9%
(*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64))))))
✓100.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
✓100.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
✓100.0%
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
Results
93.0ms256×256valid
Compiler

Compiled 99 to 61 computations (38.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-mult: 28.0ms (54.5% of total)
ival-add: 11.0ms (21.4% of total)
ival-cos: 7.0ms (13.6% of total)
const: 3.0ms (5.8% of total)
ival-exp: 2.0ms (3.9% of total)

series14.0ms (0.2%)

Counts
5 → 68
Calls
Call 1
Inputs
#<alt (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64))))))>
#<alt (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64))))>
Outputs
#<alt (cos.f64 re)>
#<alt (+.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 im (cos.f64 re))))>
#<alt (+.f64 (cos.f64 re) (*.f64 im (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 im (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))>
#<alt (+.f64 (cos.f64 re) (*.f64 im (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 im (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 im (cos.f64 re))) (*.f64 #s(literal 1/4 binary64) (cos.f64 re)))))))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))>
#<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 1/2 binary64) (exp.f64 im))))) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))>
#<alt (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))))))))>
#<alt (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (*.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 1/2 binary64) (exp.f64 im))))) (*.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))))))))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im))))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))))) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im))))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im))))))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im))))) (*.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 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))))) (*.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))))))))))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))))>
#<alt (cos.f64 re)>
#<alt (+.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 im (cos.f64 re))))>
#<alt (+.f64 (cos.f64 re) (*.f64 im (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 im (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))>
#<alt (+.f64 (cos.f64 re) (*.f64 im (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 im (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))>
#<alt (*.f64 #s(literal 1/4 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 1/4 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) im))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) im)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) im)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/4 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 1/4 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) im))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) im)) (*.f64 #s(literal -1/2 binary64) (cos.f64 re))) im)) (*.f64 #s(literal 1/4 binary64) (cos.f64 re))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) im)) (*.f64 #s(literal -1/2 binary64) (cos.f64 re))) im)) (*.f64 #s(literal 1/4 binary64) (cos.f64 re))))>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))>
#<alt (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))>
#<alt (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))>
#<alt (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
Calls

21 calls:

TimeVariablePointExpression
4.0ms
im
@-inf
(* im (+ 1/2 (* im 1/4)))
1.0ms
re
@inf
(* (cos re) (+ 1 (* im (+ 1/2 (* im 1/4)))))
1.0ms
re
@0
(* (cos re) (+ 1 (* im (+ 1/2 (* im 1/4)))))
1.0ms
im
@inf
(* (cos re) (+ 1 (* im (+ 1/2 (* im 1/4)))))
1.0ms
im
@-inf
(* (cos re) (+ 1 (* im (+ 1/2 (* im 1/4)))))

rewrite151.0ms (2.6%)

Algorithm
1×batch-egg-rewrite
Rules
989×prod-diff
909×log1p-expm1-u
413×expm1-log1p-u
136×associate-*r*
131×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021142
1292118
24103118
Stop Event
1×node limit
Counts
5 → 145
Calls
Call 1
Inputs
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64))))))
(*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64))))
Outputs
(+.f64 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(+.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)))) #s(literal 1 binary64))
(/.f64 (*.f64 (cos.f64 re) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (exp.f64 im)))))
(/.f64 (*.f64 (cos.f64 re) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 im))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (cos.f64 re)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (exp.f64 im)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (cos.f64 re)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 im))))
(pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 re)) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))))
(exp.f64 (log.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) (cos.f64 re))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 im)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 im)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))))
(*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (exp.f64 im))))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 im)))))
(*.f64 (+.f64 (exp.f64 im) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (exp.f64 im)))) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 im))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (exp.f64 im)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (exp.f64 im)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 im))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (exp.f64 im))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 im)))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 1/2 binary64)))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))
(fma.f64 (exp.f64 im) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 1/2 binary64))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 im)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 im)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))))
(*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (exp.f64 im))))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 im)))))
(*.f64 (+.f64 (exp.f64 im) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (exp.f64 im)))) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 im))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (exp.f64 im)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (exp.f64 im)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 im))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (exp.f64 im))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 im)))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 1/2 binary64)))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))
(fma.f64 (exp.f64 im) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 1/2 binary64))
(+.f64 (cos.f64 re) (*.f64 (cos.f64 re) (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(+.f64 (cos.f64 re) (*.f64 (*.f64 (cos.f64 re) (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (cos.f64 re) (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) (cos.f64 re))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 re) (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 re) (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) (*.f64 (cos.f64 re) (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))))) (*.f64 (cos.f64 re) (*.f64 (cos.f64 re) (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 re) (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) (*.f64 (cos.f64 re) (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))) (-.f64 (cos.f64 re) (*.f64 (cos.f64 re) (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (cos.f64 re) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (cos.f64 re)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (cos.f64 re)) (-.f64 #s(literal 1 binary64) (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(pow.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 re)) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 (cos.f64 re) #s(literal 1 binary64) (*.f64 (cos.f64 re) (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) (cos.f64 re) (*.f64 (cos.f64 re) (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 re)) (*.f64 (cos.f64 re) (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (sqrt.f64 (cos.f64 re)) (sqrt.f64 (cos.f64 re)) (*.f64 (cos.f64 re) (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (*.f64 im (+.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/64 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/8 binary64) im))))
(/.f64 (*.f64 im (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/16 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) im)))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/64 binary64)) #s(literal 1/8 binary64)) im) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/8 binary64) im))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/16 binary64))) im) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) im)))
(pow.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 im) (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) im (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 im #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))))

simplify123.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
864×distribute-lft-in
856×distribute-rgt-in
344×cancel-sign-sub-inv
301×fma-neg
291×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03668729
110137536
236587456
Stop Event
1×node limit
Counts
213 → 203
Calls
Call 1
Inputs
(cos.f64 re)
(+.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 im (cos.f64 re))))
(+.f64 (cos.f64 re) (*.f64 im (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 im (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(+.f64 (cos.f64 re) (*.f64 im (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 im (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 im (cos.f64 re))) (*.f64 #s(literal 1/4 binary64) (cos.f64 re)))))))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+.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 1/2 binary64) (exp.f64 im))))) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
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(fma.f64 (exp.f64 im) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 1/2 binary64))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 im)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 im)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))))
(*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (exp.f64 im))))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 im)))))
(*.f64 (+.f64 (exp.f64 im) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (exp.f64 im)))) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 im))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (exp.f64 im)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (exp.f64 im)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 im))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (exp.f64 im))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 im)))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 1/2 binary64)))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64))
(fma.f64 (exp.f64 im) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 1/2 binary64))
(+.f64 (cos.f64 re) (*.f64 (cos.f64 re) (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(+.f64 (cos.f64 re) (*.f64 (*.f64 (cos.f64 re) (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (cos.f64 re) (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) (cos.f64 re))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 re) (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 re) (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) (*.f64 (cos.f64 re) (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))))) (*.f64 (cos.f64 re) (*.f64 (cos.f64 re) (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 re) (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) (*.f64 (cos.f64 re) (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))) (-.f64 (cos.f64 re) (*.f64 (cos.f64 re) (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (cos.f64 re) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (cos.f64 re)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (cos.f64 re)) (-.f64 #s(literal 1 binary64) (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(pow.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 re)) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 (cos.f64 re) #s(literal 1 binary64) (*.f64 (cos.f64 re) (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) (cos.f64 re) (*.f64 (cos.f64 re) (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 re)) (*.f64 (cos.f64 re) (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (sqrt.f64 (cos.f64 re)) (sqrt.f64 (cos.f64 re)) (*.f64 (cos.f64 re) (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (*.f64 im (+.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/64 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/8 binary64) im))))
(/.f64 (*.f64 im (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/16 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) im)))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/64 binary64)) #s(literal 1/8 binary64)) im) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/8 binary64) im))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/16 binary64))) im) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) im)))
(pow.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 im) (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) im (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 im #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))))
Outputs
(cos.f64 re)
(+.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 im (cos.f64 re))))
(+.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) (cos.f64 re))
(+.f64 (cos.f64 re) (*.f64 im (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 im (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(+.f64 (cos.f64 re) (*.f64 im (fma.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 re) im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))))
(*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (cos.f64 re) (*.f64 im (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 im (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 im (cos.f64 re))) (*.f64 #s(literal 1/4 binary64) (cos.f64 re)))))))
(+.f64 (cos.f64 re) (*.f64 im (fma.f64 #s(literal 1/2 binary64) (cos.f64 re) (*.f64 im (fma.f64 #s(literal 1/12 binary64) (*.f64 (cos.f64 re) im) (*.f64 (cos.f64 re) #s(literal 1/4 binary64)))))))
(fma.f64 im (fma.f64 (cos.f64 re) #s(literal 1/2 binary64) (*.f64 im (*.f64 (cos.f64 re) (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))))) (cos.f64 re))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
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(*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))
(+.f64 (cos.f64 re) (*.f64 im (fma.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 re) im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))))
(*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(+.f64 (cos.f64 re) (*.f64 im (fma.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 re) im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))))
(*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))
(+.f64 (cos.f64 re) (*.f64 im (fma.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 re) im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))))
(*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(+.f64 (cos.f64 re) (*.f64 im (fma.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 re) im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))))
(*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(+.f64 (cos.f64 re) (*.f64 im (fma.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 re) im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))))
(*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(+.f64 (cos.f64 re) (*.f64 im (fma.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 re) im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))))
(*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (cos.f64 re) #s(literal 1 binary64) (*.f64 (cos.f64 re) (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(+.f64 (cos.f64 re) (*.f64 im (fma.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 re) im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))))
(*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 re) (*.f64 (cos.f64 re) (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(+.f64 (cos.f64 re) (*.f64 im (fma.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 re) im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))))
(*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 re)) (*.f64 (cos.f64 re) (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(+.f64 (cos.f64 re) (*.f64 im (fma.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 re) im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))))
(*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (cos.f64 re)) (sqrt.f64 (cos.f64 re)) (*.f64 (cos.f64 re) (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(+.f64 (cos.f64 re) (*.f64 im (fma.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 re) im) (*.f64 (cos.f64 re) #s(literal 1/2 binary64)))))
(*.f64 (cos.f64 re) (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) im))
(*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(-.f64 (fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 im #s(literal 3 binary64))) (*.f64 #s(literal 1/64 binary64) (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) im)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 im #s(literal 3 binary64)) (*.f64 #s(literal 1/64 binary64) (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/8 binary64) (pow.f64 im #s(literal 3 binary64)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 im #s(literal 3 binary64)) (*.f64 #s(literal 1/64 binary64) (pow.f64 im #s(literal 6 binary64)))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 4 binary64)) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/8 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal -1/16 binary64) (pow.f64 im #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) im (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/16 binary64))) (fma.f64 #s(literal 1/2 binary64) im (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(/.f64 (*.f64 im (+.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/64 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/8 binary64) im))))
(*.f64 im (/.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/16 binary64)) (*.f64 #s(literal -1/8 binary64) im)))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (/.f64 im (+.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/16 binary64) (*.f64 im #s(literal -1/8 binary64))))))
(*.f64 im (/.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/16 binary64) (*.f64 im #s(literal -1/8 binary64))))))
(/.f64 (*.f64 im (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/16 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) im)))
(*.f64 im (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/16 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal -1/4 binary64)))))
(*.f64 im (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/16 binary64))) (fma.f64 im #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/64 binary64)) #s(literal 1/8 binary64)) im) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/8 binary64) im))))
(*.f64 im (/.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/16 binary64)) (*.f64 #s(literal -1/8 binary64) im)))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (/.f64 im (+.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/16 binary64) (*.f64 im #s(literal -1/8 binary64))))))
(*.f64 im (/.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/64 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/16 binary64) (*.f64 im #s(literal -1/8 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/16 binary64))) im) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) im)))
(*.f64 im (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/16 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal -1/4 binary64)))))
(*.f64 im (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/16 binary64))) (fma.f64 im #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
(pow.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(pow.f64 (sqrt.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(log.f64 (pow.f64 (exp.f64 im) (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))))))
(*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(log1p.f64 (expm1.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) im (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 im #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))

eval69.0ms (1.2%)

Compiler

Compiled 4282 to 2933 computations (31.5% saved)

prune151.0ms (2.6%)

Pruning

17 alts after pruning (10 fresh and 7 done)

PrunedKeptTotal
New2437250
Fresh235
Picked145
Done033
Total24617263
Accuracy
100.0%
Counts
263 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.9%
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))))) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))))
45.1%
(+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))))
▶39.8%
(+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im))))
26.1%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))
✓58.4%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
▶81.0%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))) (cos.f64 re))
▶50.1%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)) (cos.f64 re))
✓98.3%
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
✓100.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
✓72.0%
(*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64))))))
73.1%
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))
✓8.4%
(*.f64 (cos.f64 re) #s(literal 512 binary64))
▶8.8%
(*.f64 (cos.f64 re) #s(literal 64 binary64))
40.3%
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
✓59.2%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
✓49.7%
(cos.f64 re)
▶25.7%
#s(literal 1 binary64)
Compiler

Compiled 298 to 239 computations (19.8% saved)

localize272.0ms (4.7%)

Localize:

Found 6 expressions with local error:

NewAccuracyProgram
✓99.9%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)) (cos.f64 re))
✓100.0%
(*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))
✓100.0%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))) (cos.f64 re))
✓99.9%
(*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))
✓99.9%
(*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))
✓99.5%
(*.f64 im #s(literal 1/12 binary64))
Results
130.0ms256×256valid
Compiler

Compiled 134 to 93 computations (30.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 89.0ms
ival-mult: 52.0ms (58.6% of total)
ival-add: 25.0ms (28.2% of total)
ival-cos: 7.0ms (7.9% of total)
const: 5.0ms (5.6% of total)

series18.0ms (0.3%)

Counts
6 → 93
Calls
Call 1
Inputs
#<alt (*.f64 im #s(literal 1/12 binary64))>
#<alt (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))>
#<alt (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))>
#<alt (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))) (cos.f64 re))>
#<alt (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))>
#<alt (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)) (cos.f64 re))>
Outputs
#<alt (*.f64 #s(literal 1/12 binary64) im)>
#<alt (*.f64 #s(literal 1/12 binary64) im)>
#<alt (*.f64 #s(literal 1/12 binary64) im)>
#<alt (*.f64 #s(literal 1/12 binary64) im)>
#<alt (*.f64 #s(literal 1/12 binary64) im)>
#<alt (*.f64 #s(literal 1/12 binary64) im)>
#<alt (*.f64 #s(literal 1/12 binary64) im)>
#<alt (*.f64 #s(literal 1/12 binary64) im)>
#<alt (*.f64 #s(literal 1/12 binary64) im)>
#<alt (*.f64 #s(literal 1/12 binary64) im)>
#<alt (*.f64 #s(literal 1/12 binary64) im)>
#<alt (*.f64 #s(literal 1/12 binary64) im)>
#<alt (*.f64 #s(literal 1/4 binary64) im)>
#<alt (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))>
#<alt (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))>
#<alt (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))>
#<alt (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))>
#<alt (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))))>
#<alt (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))))>
#<alt (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im)))))>
#<alt (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im)))))>
#<alt (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))) im)) #s(literal 1/12 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))) im)) #s(literal 1/12 binary64))))>
#<alt (cos.f64 re)>
#<alt (+.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 im (cos.f64 re))))>
#<alt (+.f64 (cos.f64 re) (*.f64 im (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 im (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))>
#<alt (+.f64 (cos.f64 re) (*.f64 im (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 im (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 im (cos.f64 re))) (*.f64 #s(literal 1/4 binary64) (cos.f64 re)))))))>
#<alt (*.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (cos.f64 re)))>
#<alt (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/12 binary64) (cos.f64 re)) (*.f64 #s(literal 1/4 binary64) (/.f64 (cos.f64 re) im))))>
#<alt (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/12 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (cos.f64 re) im)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/12 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (cos.f64 re) im)) (+.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 3 binary64)))))))>
#<alt (*.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (cos.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (cos.f64 re) im)) (*.f64 #s(literal -1/12 binary64) (cos.f64 re)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) im))) im)) (*.f64 #s(literal -1/12 binary64) (cos.f64 re)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) im)) (*.f64 #s(literal -1/2 binary64) (cos.f64 re))) im)) (*.f64 #s(literal 1/4 binary64) (cos.f64 re))) im)) (*.f64 #s(literal -1/12 binary64) (cos.f64 re)))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))))))) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im))))))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im))))))))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im))))))) (*.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 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))))))) (*.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))))))))))))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))))))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))))))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))))))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))))))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))))))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))))))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))))))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))))))>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (cos.f64 re)>
#<alt (+.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 im (cos.f64 re))))>
#<alt (+.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 im (cos.f64 re))))>
#<alt (+.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 im (cos.f64 re))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) im)))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) im)))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) im)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) im)) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) im)) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) im)) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) (*.f64 #s(literal 1/2 binary64) im)))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))) (*.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 binary64) (*.f64 #s(literal 1/2 binary64) im)))) (*.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))))))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))>
#<alt (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))>
Calls

24 calls:

TimeVariablePointExpression
1.0ms
re
@inf
(* (+ 1 (* im (+ 1/2 (* im (+ 1/4 (* im 1/12)))))) (cos re))
1.0ms
re
@0
(* (+ 1 (* im (+ 1/2 (* im (+ 1/4 (* im 1/12)))))) (cos re))
1.0ms
im
@-inf
(* (+ 1 (* im (+ 1/2 (* im (+ 1/4 (* im 1/12)))))) (cos re))
1.0ms
re
@0
(* (+ 1 (* 1/2 im)) (cos re))
1.0ms
re
@inf
(* (+ 1 (* 1/2 im)) (cos re))

rewrite176.0ms (3.1%)

Algorithm
1×batch-egg-rewrite
Rules
1284×log1p-expm1-u
200×associate-*r*
183×expm1-log1p-u
179×add-exp-log
179×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026188
1402156
25845156
Stop Event
1×node limit
Counts
6 → 142
Calls
Call 1
Inputs
(*.f64 im #s(literal 1/12 binary64))
(*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))
(*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))) (cos.f64 re))
(*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)) (cos.f64 re))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 im #s(literal 1/12 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 im #s(literal 1/12 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im #s(literal 1/12 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im #s(literal 1/12 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im #s(literal 1/12 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/144 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/12 binary64)) im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im #s(literal 1/12 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 im #s(literal 1/12 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im #s(literal 1/12 binary64))))
(log1p.f64 (expm1.f64 (*.f64 im #s(literal 1/12 binary64))))
(exp.f64 (log.f64 (*.f64 im #s(literal 1/12 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 im #s(literal 1/12 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 im #s(literal 1/4 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 (*.f64 im #s(literal 1/4 binary64)) (*.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 im #s(literal 1/4 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 im #s(literal 3 binary64))) (pow.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/16 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))) (*.f64 (*.f64 im #s(literal 1/4 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))))))
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(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 im #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) im (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 im #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 im #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 im #s(literal 1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 im #s(literal 1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 (cos.f64 re) (*.f64 (cos.f64 re) (*.f64 im #s(literal 1/2 binary64))))
(+.f64 (cos.f64 re) (*.f64 (*.f64 im #s(literal 1/2 binary64)) (cos.f64 re)))
(+.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal 1/2 binary64))) (cos.f64 re))
(+.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) (cos.f64 re)) (cos.f64 re))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 im #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) im))))
(/.f64 (*.f64 (cos.f64 re) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) im)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 im #s(literal 3 binary64)))) (cos.f64 re)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) im))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)))) (cos.f64 re)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) im)))
(pow.f64 (*.f64 (cos.f64 re) (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 re) (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)))

simplify183.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
533×associate-+l+
478×associate-+r+
376×cancel-sign-sub-inv
372×fma-define
358×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04878917
113548600
247158350
Stop Event
1×node limit
Counts
235 → 297
Calls
Call 1
Inputs
(*.f64 #s(literal 1/12 binary64) im)
(*.f64 #s(literal 1/12 binary64) im)
(*.f64 #s(literal 1/12 binary64) im)
(*.f64 #s(literal 1/12 binary64) im)
(*.f64 #s(literal 1/12 binary64) im)
(*.f64 #s(literal 1/12 binary64) im)
(*.f64 #s(literal 1/12 binary64) im)
(*.f64 #s(literal 1/12 binary64) im)
(*.f64 #s(literal 1/12 binary64) im)
(*.f64 #s(literal 1/12 binary64) im)
(*.f64 #s(literal 1/12 binary64) im)
(*.f64 #s(literal 1/12 binary64) im)
(*.f64 #s(literal 1/4 binary64) im)
(*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))
(*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))
(*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))
(*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 #s(literal 1/2 binary64) im)
(*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))
(*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))))
(*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))))
(*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 3 binary64)))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im)))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im)))))
(*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 3 binary64)))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))) im)) #s(literal 1/12 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))) im)) #s(literal 1/12 binary64))))
(cos.f64 re)
(+.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 im (cos.f64 re))))
(+.f64 (cos.f64 re) (*.f64 im (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 im (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(+.f64 (cos.f64 re) (*.f64 im (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 im (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 im (cos.f64 re))) (*.f64 #s(literal 1/4 binary64) (cos.f64 re)))))))
(*.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (cos.f64 re)))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/12 binary64) (cos.f64 re)) (*.f64 #s(literal 1/4 binary64) (/.f64 (cos.f64 re) im))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/12 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (cos.f64 re) im)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/12 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (cos.f64 re) im)) (+.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 3 binary64)))))))
(*.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (cos.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (cos.f64 re) im)) (*.f64 #s(literal -1/12 binary64) (cos.f64 re)))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) im))) im)) (*.f64 #s(literal -1/12 binary64) (cos.f64 re)))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) im)) (*.f64 #s(literal -1/2 binary64) (cos.f64 re))) im)) (*.f64 #s(literal 1/4 binary64) (cos.f64 re))) im)) (*.f64 #s(literal -1/12 binary64) (cos.f64 re)))))
(+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im))))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))))))) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im))))))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im))))))))))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im))))))) (*.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 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))))))) (*.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))))))))))))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))))))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))))))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))))))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))))))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))))))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))))))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))))))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))))))
(*.f64 #s(literal 1/2 binary64) im)
(*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))))
(cos.f64 re)
(+.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 im (cos.f64 re))))
(+.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 im (cos.f64 re))))
(+.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 im (cos.f64 re))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (cos.f64 re)))
(*.f64 im (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) im)))
(*.f64 im (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) im)))
(*.f64 im (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (cos.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) im)) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))))
(*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) im)) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))))
(*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) im)) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) (*.f64 #s(literal 1/2 binary64) im)))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))) (*.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 binary64) (*.f64 #s(literal 1/2 binary64) im)))) (*.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))))))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))
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(/.f64 (*.f64 im (+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 im #s(literal 3 binary64))) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/8 binary64) im))))
(/.f64 (*.f64 im (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/16 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) im)))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 im #s(literal 3 binary64))) #s(literal 1/8 binary64)) im) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/8 binary64) im))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/16 binary64))) im) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) im)))
(pow.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 im #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) im (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 im #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 im #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 im #s(literal 1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 im #s(literal 1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 (cos.f64 re) (*.f64 (cos.f64 re) (*.f64 im #s(literal 1/2 binary64))))
(+.f64 (cos.f64 re) (*.f64 (*.f64 im #s(literal 1/2 binary64)) (cos.f64 re)))
(+.f64 (*.f64 (cos.f64 re) (*.f64 im #s(literal 1/2 binary64))) (cos.f64 re))
(+.f64 (*.f64 (*.f64 im #s(literal 1/2 binary64)) (cos.f64 re)) (cos.f64 re))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 im #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) im))))
(/.f64 (*.f64 (cos.f64 re) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) im)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 im #s(literal 3 binary64)))) (cos.f64 re)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) im))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)))) (cos.f64 re)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) im)))
(pow.f64 (*.f64 (cos.f64 re) (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 re) (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 1/12 binary64) im)
(*.f64 #s(literal 1/12 binary64) im)
(*.f64 #s(literal 1/12 binary64) im)
(*.f64 #s(literal 1/12 binary64) im)
(*.f64 #s(literal 1/12 binary64) im)
(*.f64 #s(literal 1/12 binary64) im)
(*.f64 #s(literal 1/12 binary64) im)
(*.f64 #s(literal 1/12 binary64) im)
(*.f64 #s(literal 1/12 binary64) im)
(*.f64 #s(literal 1/12 binary64) im)
(*.f64 #s(literal 1/12 binary64) im)
(*.f64 #s(literal 1/12 binary64) im)
(*.f64 #s(literal 1/4 binary64) im)
(*.f64 im #s(literal 1/4 binary64))
(*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))
(*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))
(*.f64 im (fma.f64 #s(literal 1/12 binary64) im #s(literal 1/4 binary64)))
(*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))
(*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))
(*.f64 im (fma.f64 #s(literal 1/12 binary64) im #s(literal 1/4 binary64)))
(*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))
(*.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)))
(*.f64 im (fma.f64 #s(literal 1/12 binary64) im #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/4 binary64) im)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/4 binary64) im)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/4 binary64) im)))
(*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/4 binary64) im)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/4 binary64) im)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/4 binary64) im)))
(*.f64 #s(literal 1/2 binary64) im)
(*.f64 im #s(literal 1/2 binary64))
(*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))
(*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))))
(*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 im (fma.f64 im (fma.f64 #s(literal 1/12 binary64) im #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))))
(*.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 im (fma.f64 im (fma.f64 #s(literal 1/12 binary64) im #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 3 binary64)))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/4 binary64) im)) (pow.f64 im #s(literal 3 binary64)))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im)))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal 1/4 binary64) im)))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) im) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) im) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im)))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal 1/4 binary64) im)))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) im) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) im) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 3 binary64)))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/4 binary64) im)) (pow.f64 im #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))) im)) #s(literal 1/12 binary64))))
(neg.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) im)) im) #s(literal -1/12 binary64))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) im)) im) #s(literal -1/12 binary64))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (neg.f64 (-.f64 #s(literal -1/12 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) im)) im))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im))) im)) #s(literal 1/12 binary64))))
(neg.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) im)) im) #s(literal -1/12 binary64))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) im)) im) #s(literal -1/12 binary64))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (neg.f64 (-.f64 #s(literal -1/12 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) im)) im))))
(cos.f64 re)
(+.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 im (cos.f64 re))))
(*.f64 (cos.f64 re) (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)))
(+.f64 (cos.f64 re) (*.f64 im (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 im (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(+.f64 (cos.f64 re) (*.f64 im (fma.f64 #s(literal 1/4 binary64) (*.f64 im (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(fma.f64 im (*.f64 (cos.f64 re) (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (cos.f64 re))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
(+.f64 (cos.f64 re) (*.f64 im (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 im (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 im (cos.f64 re))) (*.f64 #s(literal 1/4 binary64) (cos.f64 re)))))))
(+.f64 (cos.f64 re) (*.f64 im (fma.f64 #s(literal 1/2 binary64) (cos.f64 re) (*.f64 im (fma.f64 #s(literal 1/12 binary64) (*.f64 im (cos.f64 re)) (*.f64 #s(literal 1/4 binary64) (cos.f64 re)))))))
(fma.f64 im (fma.f64 im (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/12 binary64) im #s(literal 1/4 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (cos.f64 re))
(*.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (cos.f64 re)))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/12 binary64) (cos.f64 re)) (*.f64 #s(literal 1/4 binary64) (/.f64 (cos.f64 re) im))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal 1/12 binary64) (cos.f64 re) (*.f64 #s(literal 1/4 binary64) (/.f64 (cos.f64 re) im))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/4 binary64) im))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/12 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (cos.f64 re) im)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal 1/12 binary64) (cos.f64 re) (fma.f64 #s(literal 1/4 binary64) (/.f64 (cos.f64 re) im) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal 1/12 binary64) (cos.f64 re) (fma.f64 #s(literal 1/4 binary64) (/.f64 (cos.f64 re) im) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))))
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eval95.0ms (1.6%)

Compiler

Compiled 5971 to 4318 computations (27.7% saved)

prune62.0ms (1.1%)

Pruning

20 alts after pruning (8 fresh and 12 done)

PrunedKeptTotal
New2943297
Fresh055
Picked055
Done077
Total29420314
Accuracy
100.0%
Counts
314 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.1%
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))))))) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))))))
28.9%
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))))) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))))
35.0%
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) (*.f64 #s(literal 1/2 binary64) im)))
45.1%
(+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))))
✓39.8%
(+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im))))
26.1%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))
✓58.4%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
✓81.0%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))) (cos.f64 re))
✓50.1%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)) (cos.f64 re))
✓98.3%
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
✓100.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
✓72.0%
(*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64))))))
73.1%
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))
✓8.4%
(*.f64 (cos.f64 re) #s(literal 512 binary64))
✓8.8%
(*.f64 (cos.f64 re) #s(literal 64 binary64))
5.4%
(*.f64 im (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
40.3%
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
✓59.2%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
✓49.7%
(cos.f64 re)
✓25.7%
#s(literal 1 binary64)
Compiler

Compiled 511 to 376 computations (26.4% saved)

regimes42.0ms (0.7%)

Counts
27 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im))))
(+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))))
(cos.f64 re)
(*.f64 (cos.f64 re) #s(literal 64 binary64))
(*.f64 (cos.f64 re) #s(literal 512 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(*.f64 im (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)) (cos.f64 re))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64))))))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))) (cos.f64 re))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) (*.f64 #s(literal 1/2 binary64) im)))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))))) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))))))) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))))))
(+.f64 (cos.f64 re) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
Outputs
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
Calls

6 calls:

8.0ms
re
8.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
8.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
7.0ms
im
7.0ms
(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)

regimes40.0ms (0.7%)

Counts
26 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im))))
(+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))))
(cos.f64 re)
(*.f64 (cos.f64 re) #s(literal 64 binary64))
(*.f64 (cos.f64 re) #s(literal 512 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(*.f64 im (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)) (cos.f64 re))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64))))))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))) (cos.f64 re))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) (*.f64 #s(literal 1/2 binary64) im)))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))))) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))))))) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))))))
(+.f64 (cos.f64 re) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Calls

6 calls:

9.0ms
im
8.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
7.0ms
(cos.f64 re)
7.0ms
re
4.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
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)

regimes32.0ms (0.6%)

Counts
25 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im))))
(+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))))
(cos.f64 re)
(*.f64 (cos.f64 re) #s(literal 64 binary64))
(*.f64 (cos.f64 re) #s(literal 512 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(*.f64 im (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)) (cos.f64 re))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64))))))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))) (cos.f64 re))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) (*.f64 #s(literal 1/2 binary64) im)))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))))) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))))))) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))))))
(+.f64 (cos.f64 re) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 1/2 binary64)))
Outputs
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
Calls

4 calls:

9.0ms
re
8.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
7.0ms
(cos.f64 re)
7.0ms
im
Results
AccuracySegmentsBranch
98.3%1re
98.3%1im
98.3%1(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
98.3%1(cos.f64 re)
Compiler

Compiled 16 to 12 computations (25% saved)

regimes296.0ms (5.1%)

Counts
22 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im))))
(+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))))
(cos.f64 re)
(*.f64 (cos.f64 re) #s(literal 64 binary64))
(*.f64 (cos.f64 re) #s(literal 512 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(*.f64 im (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)) (cos.f64 re))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64))))))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))) (cos.f64 re))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) (*.f64 #s(literal 1/2 binary64) im)))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))))) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))))))) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))))))
(+.f64 (cos.f64 re) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))
Outputs
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))))
Calls

4 calls:

252.0ms
re
20.0ms
im
11.0ms
(cos.f64 re)
11.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
Results
AccuracySegmentsBranch
89.2%2re
89.2%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
89.2%2(cos.f64 re)
95.4%3im
Compiler

Compiled 16 to 12 computations (25% saved)

regimes26.0ms (0.5%)

Counts
21 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im))))
(+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))))
(cos.f64 re)
(*.f64 (cos.f64 re) #s(literal 64 binary64))
(*.f64 (cos.f64 re) #s(literal 512 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(*.f64 im (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)) (cos.f64 re))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64))))))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))) (cos.f64 re))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) (*.f64 #s(literal 1/2 binary64) im)))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))))) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))))))) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))))))
(+.f64 (cos.f64 re) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
Outputs
(cos.f64 re)
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))))
Calls

1 calls:

24.0ms
im
Results
AccuracySegmentsBranch
95.1%3im
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes17.0ms (0.3%)

Counts
20 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im))))
(+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))))
(cos.f64 re)
(*.f64 (cos.f64 re) #s(literal 64 binary64))
(*.f64 (cos.f64 re) #s(literal 512 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(*.f64 im (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)) (cos.f64 re))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64))))))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))) (cos.f64 re))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) (*.f64 #s(literal 1/2 binary64) im)))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))))) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im)))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))))))) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im)))))))
(+.f64 (cos.f64 re) (cos.f64 re))
Outputs
(cos.f64 re)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))))
Calls

1 calls:

16.0ms
im
Results
AccuracySegmentsBranch
94.6%3im
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes36.0ms (0.6%)

Counts
14 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im))))
(+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))))
(cos.f64 re)
(*.f64 (cos.f64 re) #s(literal 64 binary64))
(*.f64 (cos.f64 re) #s(literal 512 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(*.f64 im (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)) (cos.f64 re))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64))))))
Outputs
(cos.f64 re)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64))))))
Calls

4 calls:

12.0ms
im
8.0ms
re
8.0ms
(cos.f64 re)
7.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
Results
AccuracySegmentsBranch
84.6%2re
84.6%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
84.6%2(cos.f64 re)
90.7%3im
Compiler

Compiled 16 to 12 computations (25% saved)

regimes43.0ms (0.7%)

Counts
13 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im))))
(+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))))
(cos.f64 re)
(*.f64 (cos.f64 re) #s(literal 64 binary64))
(*.f64 (cos.f64 re) #s(literal 512 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(*.f64 im (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)) (cos.f64 re))
Outputs
(cos.f64 re)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
Calls

4 calls:

15.0ms
re
9.0ms
(cos.f64 re)
9.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
8.0ms
im
Results
AccuracySegmentsBranch
74.3%4re
74.0%4(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
74.0%4(cos.f64 re)
82.1%2im
Compiler

Compiled 16 to 12 computations (25% saved)

regimes36.0ms (0.6%)

Counts
10 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im))))
(+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))))
(cos.f64 re)
(*.f64 (cos.f64 re) #s(literal 64 binary64))
(*.f64 (cos.f64 re) #s(literal 512 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(*.f64 im (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
Outputs
(cos.f64 re)
(+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))))
Calls

4 calls:

15.0ms
im
9.0ms
re
6.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
5.0ms
(cos.f64 re)
Results
AccuracySegmentsBranch
64.0%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
64.0%2(cos.f64 re)
65.7%4re
68.9%2im
Compiler

Compiled 16 to 12 computations (25% saved)

regimes5.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im))))
(+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))))
Calls

2 calls:

2.0ms
re
2.0ms
im
Results
AccuracySegmentsBranch
45.1%1re
45.1%1im
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes56.0ms (1%)

Counts
4 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im))))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im))))
Calls

2 calls:

2.0ms
im
2.0ms
re
Results
AccuracySegmentsBranch
39.8%1im
39.8%1re
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))
Calls

2 calls:

2.0ms
re
2.0ms
im
Results
AccuracySegmentsBranch
26.1%1im
26.1%1re
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

1.0ms
im
1.0ms
re
Results
AccuracySegmentsBranch
25.7%1im
25.7%1re
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch36.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
2.125229846629442e+102
1.6113473813848005e+103
18.0ms
7.393392396938047e-6
0.003068661033674702
Results
25.0ms224×0valid
Compiler

Compiled 382 to 302 computations (20.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 7.0ms (37.6% of total)
ival-cos: 6.0ms (32.2% of total)
ival-exp: 3.0ms (16.1% of total)
ival-add: 1.0ms (5.4% of total)
ival-neg: 1.0ms (5.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch94.0ms (1.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
12.0ms
2.125229846629442e+102
1.6113473813848005e+103
80.0ms
7.393392396938047e-6
0.003068661033674702
Results
84.0ms224×0valid
Compiler

Compiled 326 to 262 computations (19.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 77.0ms
ival-cos: 68.0ms (87.9% of total)
ival-exp: 3.0ms (3.9% of total)
ival-mult: 3.0ms (3.9% of total)
ival-add: 1.0ms (1.3% of total)
ival-neg: 1.0ms (1.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch36.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
19.0ms
2.125229846629442e+102
1.6113473813848005e+103
14.0ms
0.16612443684263006
5.564829237632095
Results
26.0ms208×0valid
Compiler

Compiled 284 to 236 computations (16.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-cos: 5.0ms (37.3% of total)
ival-exp: 3.0ms (22.4% of total)
ival-mult: 3.0ms (22.4% of total)
ival-add: 1.0ms (7.5% of total)
ival-neg: 1.0ms (7.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch42.0ms (0.7%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
21.0ms
7.068858886899002e+148
1.137299879546429e+156
18.0ms
0.16612443684263006
5.564829237632095
Results
27.0ms256×0valid
Compiler

Compiled 332 to 278 computations (16.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-cos: 6.0ms (35.8% of total)
ival-exp: 4.0ms (23.8% of total)
ival-mult: 4.0ms (23.8% of total)
ival-add: 1.0ms (6% of total)
ival-neg: 1.0ms (6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch20.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
18.0ms
0.16612443684263006
5.564829237632095
Results
14.0ms112×0valid
Compiler

Compiled 116 to 98 computations (15.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-cos: 6.0ms (53.3% of total)
ival-exp: 2.0ms (17.8% of total)
ival-mult: 2.0ms (17.8% of total)
ival-add: 1.0ms (8.9% of total)
ival-neg: 1.0ms (8.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch13.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
12.0ms
1.3147394211464365e+41
1.3391931267275004e+42
Results
8.0ms96×0valid
Compiler

Compiled 144 to 116 computations (19.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-cos: 2.0ms (35.7% of total)
ival-exp: 1.0ms (17.9% of total)
ival-mult: 1.0ms (17.9% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

simplify13.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
18×*-commutative
11×+-commutative
3×1-exp
1×sub-neg
1×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078796
1112796
2114796
3115796
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.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 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(if (<=.f64 im #s(literal 7032821178101767/2305843009213693952 binary64)) (*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))) (if (<=.f64 im #s(literal 13000000000000000820620954370209321019419013689360840305716286965548279119394216856551265106459745058816 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))))))
(if (<=.f64 im #s(literal 2434970217729661/73786976294838206464 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 13000000000000000820620954370209321019419013689360840305716286965548279119394216856551265106459745058816 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))))))
(if (<=.f64 im #s(literal 3039929748475085/1125899906842624 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 13000000000000000820620954370209321019419013689360840305716286965548279119394216856551265106459745058816 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))))))
(if (<=.f64 im #s(literal 7/4 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 27000000000000000551014021370351243052980237974185272913314250084518251643289914535899806779332918392493800176419193521216216634153908468898165478989496320 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64))))))))
(if (<=.f64 im #s(literal 3152519739159347/1125899906842624 binary64)) (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(if (<=.f64 im #s(literal 330000000000000003980309840017975133863936 binary64)) (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))
#s(literal 1 binary64)
Outputs
(*.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 (*.f64 (cos.f64 re) #s(literal 1/2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cos.f64 re))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(if (<=.f64 im #s(literal 7032821178101767/2305843009213693952 binary64)) (*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))) (if (<=.f64 im #s(literal 13000000000000000820620954370209321019419013689360840305716286965548279119394216856551265106459745058816 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))))))
(if (<=.f64 im #s(literal 2434970217729661/73786976294838206464 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 13000000000000000820620954370209321019419013689360840305716286965548279119394216856551265106459745058816 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))))))
(if (<=.f64 im #s(literal 3039929748475085/1125899906842624 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 13000000000000000820620954370209321019419013689360840305716286965548279119394216856551265106459745058816 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))))))
(if (<=.f64 im #s(literal 7/4 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 27000000000000000551014021370351243052980237974185272913314250084518251643289914535899806779332918392493800176419193521216216634153908468898165478989496320 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64))))))))
(if (<=.f64 im #s(literal 3152519739159347/1125899906842624 binary64)) (cos.f64 re) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(if (<=.f64 im #s(literal 330000000000000003980309840017975133863936 binary64)) (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im))))
(+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))
#s(literal 1 binary64)

soundness504.0ms (8.7%)

Rules
864×distribute-lft-in
863×fma-define
856×distribute-rgt-in
830×fma-define
516×associate-*r*
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
032316
1100308
2280308
3673298
41117294
51661294
62231294
72749294
82903294
92917294
102917294
112917294
03668729
110137536
236587456
01563091
14502712
215172575
358662504
Stop Event
1×fuel
1×node limit
1×node limit
1×saturated
Compiler

Compiled 602 to 363 computations (39.7% saved)

preprocess125.0ms (2.2%)

Remove

(abs im)

(abs re)

Compiler

Compiled 844 to 560 computations (33.6% saved)

end0.0ms (0%)

Profiling

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