math.cos on complex, real part

Time bar (total: 7.0s)

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)
backward-pass: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

sample1.6s (22.4%)

Results
1.1s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 865.0ms
ival-cos: 351.0ms (40.6% of total)
ival-mult: 209.0ms (24.2% of total)
ival-exp: 199.0ms (23% of total)
ival-add: 50.0ms (5.8% of total)
ival-neg: 42.0ms (4.9% of total)
const: 11.0ms (1.3% of total)
backward-pass: 3.0ms (0.3% of total)
Bogosity

preprocess138.0ms (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)

explain149.0ms (2.1%)

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
62.0ms512×0valid
Compiler

Compiled 85 to 32 computations (62.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-cos: 13.0ms (39.6% of total)
ival-mult: 8.0ms (24.3% of total)
ival-exp: 6.0ms (18.3% of total)
ival-add: 3.0ms (9.1% of total)
ival-neg: 3.0ms (9.1% of total)
const: 1.0ms (3% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 35 to 15 computations (57.1% saved)

prune1.0ms (0%)

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

Compiled 13 to 10 computations (23.1% saved)

localize64.0ms (0.9%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(exp.f64 (neg.f64 im))
✓cost-diff0
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
✓cost-diff0
(cos.f64 re)
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
✓accuracy100.0%
(exp.f64 (neg.f64 im))
✓accuracy100.0%
(exp.f64 im)
✓accuracy100.0%
(cos.f64 re)
✓accuracy100.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Rules
50×fma-define
26×associate-*r*
20×associate-*l*
16×*-commutative
10×associate-*r/
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
016128
133128
279128
3132126
4165126
5200126
6232126
7243126
8245126
9250126
10250126
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 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
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 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
Results
30.0ms256×0valid
Compiler

Compiled 36 to 11 computations (69.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-cos: 6.0ms (34% of total)
ival-exp: 5.0ms (28.3% of total)
ival-mult: 4.0ms (22.7% of total)
ival-add: 1.0ms (5.7% of total)
ival-neg: 1.0ms (5.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series15.0ms (0.2%)

Counts
6 → 56
Calls
Call 1
Inputs
#<alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<alt (cos.f64 re)>
#<alt (exp.f64 im)>
#<alt (exp.f64 (neg.f64 im))>
#<alt (*.f64 #s(literal 1/2 binary64) (cos.f64 re))>
#<alt (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))>
#<alt (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/48 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (cos.f64 re)>
#<alt (+.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))>
#<alt (+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))>
#<alt (+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (*.f64 #s(literal 1/24 binary64) (cos.f64 re)))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/2 binary64))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) im)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64))))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) im))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) im))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) im))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) im))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/4 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/4 binary64))))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 im #s(literal 2 binary64))))))))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))>
Calls

21 calls:

TimeVariablePointExpression
3.0ms
re
@inf
(* 1/2 (cos re))
2.0ms
im
@inf
(* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)))
1.0ms
re
@0
(* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)))
1.0ms
re
@-inf
(* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)))
1.0ms
im
@-inf
(* (* 1/2 (cos re)) (+ (exp (neg im)) (exp im)))

rewrite314.0ms (4.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
016137
1202137
23306137
Stop Event
1×unsound
Counts
6 → 72
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(cos.f64 re)
(exp.f64 im)
(exp.f64 (neg.f64 im))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
Outputs
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (+.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (-.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64)))))
(/.f64 (-.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64))) (-.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(fabs.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(log.f64 (pow.f64 #s(literal 1 binary64) (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))))
(cbrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal -2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(fma.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64) (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) re))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 re))) #s(literal 1 binary64))
(*.f64 (cos.f64 re) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 re))
(/.f64 (+.f64 (cos.f64 (+.f64 re re)) (cos.f64 (-.f64 re re))) #s(literal -2 binary64))
(pow.f64 (cos.f64 re) #s(literal -2 binary64))
(pow.f64 (cos.f64 re) #s(literal 1 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 1 binary64) (expm1.f64 (cos.f64 re))))
(cbrt.f64 (cos.f64 re))
(expm1.f64 (log1p.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 1 binary64)))
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (+.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (-.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64)))))
(/.f64 (-.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64))) (-.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(fabs.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(log.f64 (pow.f64 #s(literal 1 binary64) (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))))
(cbrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal -2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(fma.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64) (*.f64 (cos.f64 re) #s(literal -2 binary64)))
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)

simplify86.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
719×associate-*r/
713×fma-define
565×associate-*r*
375×distribute-rgt-out
280×times-frac
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01973069
15052795
216132620
350692588
Stop Event
1×node limit
Counts
128 → 141
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/48 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(cos.f64 re)
(+.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (*.f64 #s(literal 1/24 binary64) (cos.f64 re)))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) im)
(+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))
(+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))
(+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64))))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/4 binary64))))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 im #s(literal 2 binary64))))))))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (+.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (-.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64)))))
(/.f64 (-.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64))) (-.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(fabs.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(log.f64 (pow.f64 #s(literal 1 binary64) (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))))
(cbrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal -2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(fma.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64) (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) re))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 re))) #s(literal 1 binary64))
(*.f64 (cos.f64 re) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 re))
(/.f64 (+.f64 (cos.f64 (+.f64 re re)) (cos.f64 (-.f64 re re))) #s(literal -2 binary64))
(pow.f64 (cos.f64 re) #s(literal -2 binary64))
(pow.f64 (cos.f64 re) #s(literal 1 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 1 binary64) (expm1.f64 (cos.f64 re))))
(cbrt.f64 (cos.f64 re))
(expm1.f64 (log1p.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 1 binary64)))
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (+.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (-.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64)))))
(/.f64 (-.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64))) (-.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(fabs.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(log.f64 (pow.f64 #s(literal 1 binary64) (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))))
(cbrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal -2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(fma.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64) (*.f64 (cos.f64 re) #s(literal -2 binary64)))
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))
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(cos.f64 re)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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(+.f64 im #s(literal 1 binary64))
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#s(literal 1 binary64)
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(+.f64 (neg.f64 im) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) im)
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(fma.f64 im (fma.f64 im (fma.f64 im #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
(exp.f64 (neg.f64 im))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
(exp.f64 (neg.f64 im))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
(exp.f64 (neg.f64 im))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
(exp.f64 (neg.f64 im))
#s(literal 1/2 binary64)
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(fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))
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#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64)))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 im #s(literal 2 binary64))))))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/360 binary64)))))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 im im (fma.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))
(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
(+.f64 (cos.f64 re) (cos.f64 re))
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(+.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(*.f64 (cos.f64 re) #s(literal -4 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(cos.f64 re)
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (+.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (-.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64)))))
#s(literal 1 binary64)
(/.f64 (-.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64))) (-.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64))))
#s(literal 1 binary64)
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(sqrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(fabs.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(*.f64 #s(literal 2 binary64) (fabs.f64 (cos.f64 re)))
(log.f64 (pow.f64 #s(literal 1 binary64) (cos.f64 re)))
#s(literal 0 binary64)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(cbrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(exp.f64 (+.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal -2 binary64)))
(*.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (exp.f64 #s(literal -2 binary64)))
(*.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) (exp.f64 #s(literal -2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(*.f64 (cos.f64 re) #s(literal -4 binary64))
(fma.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64) (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(*.f64 (cos.f64 re) #s(literal -4 binary64))
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) re))))
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 re #s(literal -2 binary64)))))
(fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 re #s(literal -2 binary64))) #s(literal -2 binary64))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 re))) #s(literal 1 binary64))
(cos.f64 re)
(*.f64 (cos.f64 re) (cos.f64 re))
(pow.f64 (cos.f64 re) #s(literal 2 binary64))
(*.f64 (cos.f64 re) #s(literal 1 binary64))
(cos.f64 re)
(*.f64 #s(literal 1 binary64) (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 (*.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))
(pow.f64 (cos.f64 re) #s(literal -2 binary64))
(pow.f64 (cos.f64 re) #s(literal 1 binary64))
(cos.f64 re)
(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 1 binary64) (expm1.f64 (cos.f64 re))))
(cos.f64 re)
(cbrt.f64 (cos.f64 re))
(expm1.f64 (log1p.f64 (cos.f64 re)))
(cos.f64 re)
(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 1 binary64)))
(cos.f64 re)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
(+.f64 (cos.f64 re) (cos.f64 re))
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(+.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(*.f64 (cos.f64 re) #s(literal -4 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(cos.f64 re)
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (+.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (-.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64)))))
#s(literal 1 binary64)
(/.f64 (-.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64))) (-.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64))))
#s(literal 1 binary64)
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(sqrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(fabs.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(*.f64 #s(literal 2 binary64) (fabs.f64 (cos.f64 re)))
(log.f64 (pow.f64 #s(literal 1 binary64) (cos.f64 re)))
#s(literal 0 binary64)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(cbrt.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) #s(literal -2 binary64))
(exp.f64 (+.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))) #s(literal -2 binary64)))
(*.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) (exp.f64 #s(literal -2 binary64)))
(*.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) (exp.f64 #s(literal -2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 re) #s(literal -2 binary64)) (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(*.f64 (cos.f64 re) #s(literal -4 binary64))
(fma.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 1 binary64) (*.f64 (cos.f64 re) #s(literal -2 binary64)))
(*.f64 (cos.f64 re) #s(literal -4 binary64))
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)

eval20.0ms (0.3%)

Compiler

Compiled 2138 to 501 computations (76.6% saved)

prune44.0ms (0.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New13110141
Fresh000
Picked011
Done000
Total13111142
Accuracy
100.0%
Counts
142 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
8.2%
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
▶99.9%
(*.f64 (*.f64 #s(literal 1/2 binary64) (expm1.f64 (log1p.f64 (cos.f64 re)))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
88.4%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))))
78.3%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
▶99.5%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)))
67.7%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))
✓100.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
▶11.4%
(*.f64 #s(literal 2 binary64) (cos.f64 re))
▶63.9%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
54.1%
(cos.f64 re)
▶2.4%
#s(literal 0 binary64)
Compiler

Compiled 231 to 176 computations (23.8% saved)

localize158.0ms (2.3%)

Algorithm
1×egg-herbie
Localize:

Found 28 expressions of interest:

NewMetricScoreProgram
cost-diff-128
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
cost-diff0
(exp.f64 im)
✓cost-diff0
(-.f64 #s(literal 1 binary64) im)
✓cost-diff0
(+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im))
cost-diff0
(exp.f64 im)
✓cost-diff0
(neg.f64 im)
cost-diff0
(exp.f64 (neg.f64 im))
cost-diff0
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
cost-diff-128
(cos.f64 re)
✓cost-diff0
(*.f64 #s(literal 2 binary64) (cos.f64 re))
✓cost-diff0
(log1p.f64 (cos.f64 re))
✓cost-diff6464
(*.f64 (*.f64 #s(literal 1/2 binary64) (expm1.f64 (log1p.f64 (cos.f64 re)))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
✓cost-diff12800
(expm1.f64 (log1p.f64 (cos.f64 re)))
✓cost-diff12800
(*.f64 #s(literal 1/2 binary64) (expm1.f64 (log1p.f64 (cos.f64 re))))
accuracy100.0%
(exp.f64 im)
✓accuracy100.0%
(+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im))
accuracy100.0%
(cos.f64 re)
✓accuracy100.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
✓accuracy100.0%
(neg.f64 im)
accuracy100.0%
(exp.f64 (neg.f64 im))
accuracy100.0%
(exp.f64 im)
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (cos.f64 re))
accuracy100.0%
(cos.f64 re)
accuracy100.0%
(cos.f64 re)
✓accuracy100.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (expm1.f64 (log1p.f64 (cos.f64 re)))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
✓accuracy99.8%
(expm1.f64 (log1p.f64 (cos.f64 re)))
✓accuracy99.6%
(log1p.f64 (cos.f64 re))
Rules
621×fma-define
523×associate-+l-
523×unsub-neg
396×distribute-lft-in
360×associate-+r-
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
027436
172436
2171418
3409376
41229372
53698372
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (expm1.f64 (log1p.f64 (cos.f64 re)))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (expm1.f64 (log1p.f64 (cos.f64 re))))
#s(literal 1/2 binary64)
(expm1.f64 (log1p.f64 (cos.f64 re)))
(log1p.f64 (cos.f64 re))
(cos.f64 re)
re
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
#s(literal 0 binary64)
(*.f64 #s(literal 2 binary64) (cos.f64 re))
#s(literal 2 binary64)
(cos.f64 re)
re
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(literal 1/2 binary64)
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
(+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im))
(-.f64 #s(literal 1 binary64) im)
#s(literal 1 binary64)
im
(exp.f64 im)
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (expm1.f64 (log1p.f64 (cos.f64 re)))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (expm1.f64 (log1p.f64 (cos.f64 re))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 (+.f64 (cos.f64 re) #s(literal 0 binary64)) (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 #s(literal 1/2 binary64) (expm1.f64 (log1p.f64 (cos.f64 re))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 re) #s(literal 0 binary64)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(expm1.f64 (log1p.f64 (cos.f64 re)))
(+.f64 (cos.f64 re) #s(literal 0 binary64))
(cos.f64 re)
(log1p.f64 (cos.f64 re))
(cos.f64 re)
(expm1.f64 (log1p.f64 (cos.f64 re)))
(+.f64 (cos.f64 re) #s(literal 0 binary64))
re
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
#s(literal 0 binary64)
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal 2 binary64))
#s(literal 2 binary64)
(cos.f64 re)
(expm1.f64 (log1p.f64 (cos.f64 re)))
(+.f64 (cos.f64 re) #s(literal 0 binary64))
re
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal 1/2 binary64) (exp.f64 im)))
#s(literal 1/2 binary64)
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 im) im) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (expm1.f64 (log1p.f64 (cos.f64 re))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 re) #s(literal 0 binary64)))
#s(literal 1/2 binary64)
(cos.f64 re)
(expm1.f64 (log1p.f64 (cos.f64 re)))
(+.f64 (cos.f64 re) #s(literal 0 binary64))
re
(+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im))
(+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im))
(-.f64 #s(literal 1 binary64) im)
#s(literal 1 binary64)
im
(exp.f64 im)
Results
75.0ms256×0valid
Compiler

Compiled 111 to 22 computations (80.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-mult: 15.0ms (36.1% of total)
ival-cos: 6.0ms (14.5% of total)
ival-add: 5.0ms (12% of total)
ival-exp: 4.0ms (9.6% of total)
ival-log1p: 4.0ms (9.6% of total)
ival-expm1: 3.0ms (7.2% of total)
ival-sub: 1.0ms (2.4% of total)
const: 1.0ms (2.4% of total)
ival-neg: 1.0ms (2.4% of total)
backward-pass: 0.0ms (0% of total)

series81.0ms (1.2%)

Counts
10 → 136
Calls
Call 1
Inputs
#<alt (log1p.f64 (cos.f64 re))>
#<alt (expm1.f64 (log1p.f64 (cos.f64 re)))>
#<alt (*.f64 (*.f64 #s(literal 1/2 binary64) (expm1.f64 (log1p.f64 (cos.f64 re)))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<alt (*.f64 #s(literal 2 binary64) (cos.f64 re))>
#<alt (neg.f64 im)>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)))>
#<alt (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im))>
#<alt (*.f64 #s(literal 1/2 binary64) (expm1.f64 (log1p.f64 (cos.f64 re))))>
#<alt (-.f64 #s(literal 1 binary64) im)>
Outputs
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/96 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/4 binary64))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/1440 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/96 binary64))) #s(literal 1/4 binary64))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/2 binary64))))>
#<alt (cos.f64 re)>
#<alt (cos.f64 re)>
#<alt (cos.f64 re)>
#<alt (cos.f64 re)>
#<alt (cos.f64 re)>
#<alt (cos.f64 re)>
#<alt (cos.f64 re)>
#<alt (cos.f64 re)>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))>
#<alt (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 #s(literal 1/48 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (cos.f64 re)>
#<alt (+.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))>
#<alt (+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))>
#<alt (+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (*.f64 #s(literal 1/24 binary64) (cos.f64 re)))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/360 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<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 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.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 (*.f64 #s(literal -1 binary64) im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.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 (*.f64 #s(literal -1 binary64) im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))>
#<alt (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)) (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) 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 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))) (*.f64 #s(literal 1/48 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))>
#<alt (cos.f64 re)>
#<alt (+.f64 (cos.f64 re) (*.f64 #s(literal 1/4 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 1/12 binary64) (*.f64 im (cos.f64 re))) (*.f64 #s(literal 1/4 binary64) (cos.f64 re)))))>
#<alt (+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (cos.f64 re)) (*.f64 im (+.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 im (cos.f64 re))) (*.f64 #s(literal 1/12 binary64) (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 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))) im))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))) im))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))) 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 -1/2 binary64) (/.f64 (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))) im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))) im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (exp.f64 im))) im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 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 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) im))))))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 im (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 (exp.f64 im) im)) #s(literal 1 binary64)))>
#<alt (*.f64 im (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 (exp.f64 im) im)) #s(literal 1 binary64)))>
#<alt (*.f64 im (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 (exp.f64 im) im)) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/4 binary64))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal -1/1440 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/4 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (cos.f64 re))>
#<alt (*.f64 #s(literal 1/2 binary64) (cos.f64 re))>
#<alt (*.f64 #s(literal 1/2 binary64) (cos.f64 re))>
#<alt (*.f64 #s(literal 1/2 binary64) (cos.f64 re))>
#<alt (*.f64 #s(literal 1/2 binary64) (cos.f64 re))>
#<alt (*.f64 #s(literal 1/2 binary64) (cos.f64 re))>
#<alt (*.f64 #s(literal 1/2 binary64) (cos.f64 re))>
#<alt (*.f64 #s(literal 1/2 binary64) (cos.f64 re))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 im (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64)))>
#<alt (*.f64 im (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64)))>
#<alt (*.f64 im (-.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))))>
Calls

36 calls:

TimeVariablePointExpression
35.0ms
re
@inf
(log (+ 1 (cos re)))
24.0ms
re
@-inf
(log (+ 1 (cos re)))
7.0ms
re
@inf
(* (* 1/2 (cos re)) (+ (- 1 im) (exp im)))
1.0ms
re
@0
(* (* 1/2 (cos re)) (+ (- 1 im) (exp im)))
1.0ms
im
@inf
(* (* 1/2 (cos re)) (+ (- 1 im) (exp im)))

rewrite74.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
180×associate-*r*
167×log1p-expm1-u
165×expm1-log1p-u
162×add-exp-log
161×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026230
1374230
26396230
Stop Event
1×unsound
Counts
10 → 145
Calls
Call 1
Inputs
(log1p.f64 (cos.f64 re))
(expm1.f64 (log1p.f64 (cos.f64 re)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (expm1.f64 (log1p.f64 (cos.f64 re)))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(neg.f64 im)
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)))
(+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im))
(*.f64 #s(literal 1/2 binary64) (expm1.f64 (log1p.f64 (cos.f64 re))))
(-.f64 #s(literal 1 binary64) im)
Outputs
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (cos.f64 re)))) #s(literal 1 binary64))
(*.f64 (log1p.f64 (cos.f64 re)) (log1p.f64 (cos.f64 re)))
(*.f64 (log1p.f64 (cos.f64 re)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log1p.f64 (cos.f64 re)))
(pow.f64 (log1p.f64 (cos.f64 re)) #s(literal 0 binary64))
(pow.f64 (log1p.f64 (cos.f64 re)) #s(literal 1 binary64))
(pow.f64 (log1p.f64 (cos.f64 re)) #s(literal 3 binary64))
(pow.f64 (log1p.f64 (cos.f64 re)) #s(literal 1/3 binary64))
(sqrt.f64 (log1p.f64 (cos.f64 re)))
(fabs.f64 (log1p.f64 (cos.f64 re)))
(log.f64 (+.f64 (cos.f64 re) #s(literal 1 binary64)))
(cbrt.f64 (log1p.f64 (cos.f64 re)))
(expm1.f64 (log1p.f64 (log1p.f64 (cos.f64 re))))
(exp.f64 (log.f64 (log1p.f64 (cos.f64 re))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (cos.f64 re))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) (cos.f64 (*.f64 #s(literal 0 binary64) re))))
(+.f64 (+.f64 (cos.f64 re) #s(literal 1 binary64)) #s(literal -1 binary64))
(-.f64 (+.f64 (cos.f64 re) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cos.f64 re) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 re))
(/.f64 (+.f64 (cos.f64 (+.f64 re re)) (cos.f64 (-.f64 re re))) #s(literal 0 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 re) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 (cos.f64 re) #s(literal 1 binary64)) (+.f64 (cos.f64 re) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 re) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 re) #s(literal 1 binary64)) (+.f64 (cos.f64 re) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (cos.f64 re) #s(literal 1 binary64)) #s(literal 1 binary64)))
(pow.f64 (cos.f64 re) #s(literal 0 binary64))
(pow.f64 (cos.f64 re) #s(literal 1 binary64))
(pow.f64 (cos.f64 re) #s(literal 3 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 1 binary64) (expm1.f64 (cos.f64 re))))
(cbrt.f64 (cos.f64 re))
(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 1 binary64)))
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 0 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) (+.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) (-.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 0 binary64)))))
(/.f64 (-.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 0 binary64))) (-.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 0 binary64))))
(pow.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) #s(literal 0 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) #s(literal 3 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)))
(fabs.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)))
(log.f64 (pow.f64 #s(literal 1 binary64) (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)))))
(cbrt.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64))) #s(literal 0 binary64)))
(fma.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) #s(literal 1 binary64) (*.f64 (cos.f64 re) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 0 binary64)))
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 0 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) (+.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) (-.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 0 binary64)))))
(/.f64 (-.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 0 binary64))) (-.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 0 binary64))))
(pow.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) #s(literal 0 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) #s(literal 3 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)))
(fabs.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)))
(log.f64 (pow.f64 #s(literal 1 binary64) (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)))))
(cbrt.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64))) #s(literal 0 binary64)))
(fma.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) #s(literal 1 binary64) (*.f64 (cos.f64 re) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 0 binary64)))
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 0 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) (+.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) (-.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 0 binary64)))))
(/.f64 (-.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 0 binary64))) (-.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 0 binary64))))
(pow.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) #s(literal 0 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) #s(literal 3 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)))
(fabs.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)))
(log.f64 (pow.f64 #s(literal 1 binary64) (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)))))
(cbrt.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64))) #s(literal 0 binary64)))
(fma.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) #s(literal 1 binary64) (*.f64 (cos.f64 re) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 0 binary64)))
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 0 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) (+.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) (-.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 0 binary64)))))
(/.f64 (-.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 0 binary64))) (-.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 0 binary64))))
(pow.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) #s(literal 0 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) #s(literal 3 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)))
(fabs.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)))
(log.f64 (pow.f64 #s(literal 1 binary64) (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)))))
(cbrt.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64))) #s(literal 0 binary64)))
(fma.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) #s(literal 1 binary64) (*.f64 (cos.f64 re) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 0 binary64)))
#s(literal 1 binary64)

simplify51.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
101×*-commutative
67×+-commutative
33×distribute-rgt-in
33×distribute-lft-in
23×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03073887
19963887
Stop Event
1×unsound
Counts
281 → 154
Calls
Call 1
Inputs
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/96 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/1440 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/96 binary64))) #s(literal 1/4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(*.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)))))
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#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))))
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#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
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(cos.f64 re)
(+.f64 (cos.f64 re) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
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#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) im))))))
(*.f64 #s(literal -1 binary64) im)
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(*.f64 #s(literal -1 binary64) im)
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(*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))
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(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))
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(*.f64 #s(literal -1 binary64) im)
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(*.f64 #s(literal -1 binary64) (*.f64 im (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (cos.f64 re)))) #s(literal 1 binary64))
(*.f64 (log1p.f64 (cos.f64 re)) (log1p.f64 (cos.f64 re)))
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(pow.f64 (log1p.f64 (cos.f64 re)) #s(literal 1 binary64))
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(pow.f64 (log1p.f64 (cos.f64 re)) #s(literal 1/3 binary64))
(sqrt.f64 (log1p.f64 (cos.f64 re)))
(fabs.f64 (log1p.f64 (cos.f64 re)))
(log.f64 (+.f64 (cos.f64 re) #s(literal 1 binary64)))
(cbrt.f64 (log1p.f64 (cos.f64 re)))
(expm1.f64 (log1p.f64 (log1p.f64 (cos.f64 re))))
(exp.f64 (log.f64 (log1p.f64 (cos.f64 re))))
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(*.f64 (cos.f64 re) (cos.f64 re))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 re))))
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(cos.f64 re)
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(exp.f64 (log.f64 (cos.f64 re)))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)))))
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(+.f64 (cos.f64 re) (cos.f64 re))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)))) #s(literal 1 binary64))
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(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 0 binary64)))
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
(+.f64 (cos.f64 re) (cos.f64 re))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)))) #s(literal 1 binary64))
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(/.f64 (-.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 0 binary64))) (-.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 0 binary64))))
(pow.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) #s(literal 0 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) #s(literal 3 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)))
(fabs.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)))
(log.f64 (pow.f64 #s(literal 1 binary64) (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)))))
(cbrt.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64))) #s(literal 0 binary64)))
(fma.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) #s(literal 1 binary64) (*.f64 (cos.f64 re) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 0 binary64)))
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 0 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) (+.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) (-.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 0 binary64)))))
(/.f64 (-.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 0 binary64))) (-.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 0 binary64))))
(pow.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) #s(literal 0 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) #s(literal 3 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)))
(fabs.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)))
(log.f64 (pow.f64 #s(literal 1 binary64) (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)))))
(cbrt.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64))) #s(literal 0 binary64)))
(fma.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) #s(literal 1 binary64) (*.f64 (cos.f64 re) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 0 binary64)))
#s(literal 1 binary64)
Outputs
(log.f64 #s(literal 2 binary64))
#s(literal 0 binary64)
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 0 binary64))) #s(literal 0 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/96 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(+.f64 (*.f64 (pow.f64 re #s(literal 0 binary64)) (fma.f64 #s(literal -1/96 binary64) (pow.f64 re #s(literal 0 binary64)) #s(literal -1/4 binary64))) #s(literal 0 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/1440 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/96 binary64))) #s(literal 1/4 binary64))))
(+.f64 (*.f64 (pow.f64 re #s(literal 0 binary64)) (fma.f64 (pow.f64 re #s(literal 0 binary64)) (fma.f64 #s(literal -1/1440 binary64) (pow.f64 re #s(literal 0 binary64)) #s(literal -1/96 binary64)) #s(literal -1/4 binary64))) #s(literal 0 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)))
#s(literal 0 binary64)
(log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)))
#s(literal 0 binary64)
(log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)))
#s(literal 0 binary64)
(log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)))
#s(literal 0 binary64)
(log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)))
#s(literal 0 binary64)
(log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)))
#s(literal 0 binary64)
(log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)))
#s(literal 0 binary64)
(log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)))
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 re #s(literal 0 binary64)) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 re #s(literal 0 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 0 binary64)) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 re #s(literal 0 binary64)) (fma.f64 (pow.f64 re #s(literal 0 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 re #s(literal 0 binary64)) #s(literal -1/720 binary64))) #s(literal -1/2 binary64))))
(cos.f64 re)
#s(literal 0 binary64)
(cos.f64 re)
#s(literal 0 binary64)
(cos.f64 re)
#s(literal 0 binary64)
(cos.f64 re)
#s(literal 0 binary64)
(cos.f64 re)
#s(literal 0 binary64)
(cos.f64 re)
#s(literal 0 binary64)
(cos.f64 re)
#s(literal 0 binary64)
(cos.f64 re)
#s(literal 0 binary64)
(*.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)))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 0 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))))))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (pow.f64 re #s(literal 0 binary64)) (fma.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (*.f64 (pow.f64 re #s(literal 0 binary64)) #s(literal 1/48 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)))))))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (pow.f64 re #s(literal 0 binary64)) (fma.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (pow.f64 re #s(literal 0 binary64)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 (pow.f64 re #s(literal 0 binary64)) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) #s(literal 1/48 binary64)))))))
(*.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 (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 (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 (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 (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 (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 (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 (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 (exp.f64 im) (exp.f64 (neg.f64 im))))
(cos.f64 re)
#s(literal 0 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 0 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 0 binary64)))))
(+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 im #s(literal 0 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 0 binary64))) #s(literal 1/2 binary64))))
(+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (*.f64 #s(literal 1/24 binary64) (cos.f64 re)))))))
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 im #s(literal 0 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 0 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 0 binary64))) #s(literal 1/24 binary64))))))
(*.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 (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 (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 (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 (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 (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 (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 (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 (exp.f64 im) (exp.f64 (neg.f64 im))))
#s(literal 2 binary64)
#s(literal 0 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 re #s(literal 0 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 re #s(literal 0 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 re #s(literal 0 binary64)) #s(literal -1 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/360 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 re #s(literal 0 binary64)) (fma.f64 (pow.f64 re #s(literal 0 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 re #s(literal 0 binary64)) #s(literal -1/360 binary64))) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
#s(literal 1 binary64)
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 0 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 0 binary64) (*.f64 (pow.f64 im #s(literal 0 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 0 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 0 binary64) (*.f64 (pow.f64 im #s(literal 0 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 0 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 0 binary64)) #s(literal 1/720 binary64)))))))
(*.f64 #s(literal 1/2 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 #s(literal 1/2 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 #s(literal 1/2 binary64) (+.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 #s(literal 1/2 binary64) (+.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 #s(literal 1/2 binary64) (+.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 #s(literal 1/2 binary64) (+.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 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 0 binary64) (exp.f64 im)) im))
(+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 0 binary64)) (-.f64 (+.f64 #s(literal 0 binary64) (exp.f64 im)) im)) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 0 binary64) (exp.f64 im)) im)))
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(log.f64 (pow.f64 #s(literal 1 binary64) (cos.f64 re)))
#s(literal 0 binary64)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)))))
#s(literal 0 binary64)
(cbrt.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)))
#s(literal 0 binary64)
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64))))
#s(literal 0 binary64)
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64))))
#s(literal 0 binary64)
(exp.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64))))
#s(literal 0 binary64)
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64))) #s(literal 1 binary64)))
#s(literal 0 binary64)
(exp.f64 (+.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64))) #s(literal 0 binary64)))
#s(literal 0 binary64)
(fma.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) #s(literal 1 binary64) (*.f64 (cos.f64 re) #s(literal 0 binary64)))
#s(literal 0 binary64)
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 0 binary64)))
#s(literal 0 binary64)
(+.f64 (cos.f64 re) (cos.f64 re))
#s(literal 0 binary64)
(+.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 0 binary64)))
#s(literal 0 binary64)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)))) #s(literal 1 binary64))
#s(literal 0 binary64)
(/.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) #s(literal 0 binary64))
#s(literal 0 binary64)
(/.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) #s(literal 1 binary64))
#s(literal 0 binary64)
(/.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) (+.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) (-.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 0 binary64)))))
#s(literal 0 binary64)
(/.f64 (-.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 0 binary64))) (-.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 0 binary64))))
#s(literal 0 binary64)
(pow.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) #s(literal 0 binary64))
#s(literal 0 binary64)
(pow.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) #s(literal 1 binary64))
#s(literal 0 binary64)
(pow.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) #s(literal 3 binary64))
#s(literal 0 binary64)
(pow.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) #s(literal 1/3 binary64))
#s(literal 0 binary64)
(sqrt.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)))
#s(literal 0 binary64)
(fabs.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)))
#s(literal 0 binary64)
(log.f64 (pow.f64 #s(literal 1 binary64) (cos.f64 re)))
#s(literal 0 binary64)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)))))
#s(literal 0 binary64)
(cbrt.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)))
#s(literal 0 binary64)
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64))))
#s(literal 0 binary64)
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64))))
#s(literal 0 binary64)
(exp.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64))))
#s(literal 0 binary64)
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64))) #s(literal 1 binary64)))
#s(literal 0 binary64)
(exp.f64 (+.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64))) #s(literal 0 binary64)))
#s(literal 0 binary64)
(fma.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) #s(literal 1 binary64) (*.f64 (cos.f64 re) #s(literal 0 binary64)))
#s(literal 0 binary64)
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 0 binary64)))
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
#s(literal 4 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
#s(literal 4 binary64)
(+.f64 (cos.f64 re) (cos.f64 re))
#s(literal 0 binary64)
(+.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 0 binary64)))
#s(literal 0 binary64)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)))) #s(literal 1 binary64))
#s(literal 0 binary64)
(/.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) #s(literal 0 binary64))
#s(literal 0 binary64)
(/.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) #s(literal 1 binary64))
#s(literal 0 binary64)
(/.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) (+.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) (-.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 0 binary64)))))
#s(literal 0 binary64)
(/.f64 (-.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 0 binary64))) (-.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 0 binary64))))
#s(literal 0 binary64)
(pow.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) #s(literal 0 binary64))
#s(literal 0 binary64)
(pow.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) #s(literal 1 binary64))
#s(literal 0 binary64)
(pow.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) #s(literal 3 binary64))
#s(literal 0 binary64)
(pow.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) #s(literal 1/3 binary64))
#s(literal 0 binary64)
(sqrt.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)))
#s(literal 0 binary64)
(fabs.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)))
#s(literal 0 binary64)
(log.f64 (pow.f64 #s(literal 1 binary64) (cos.f64 re)))
#s(literal 0 binary64)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)))))
#s(literal 0 binary64)
(cbrt.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)))
#s(literal 0 binary64)
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64))))
#s(literal 0 binary64)
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64))))
#s(literal 0 binary64)
(exp.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64))))
#s(literal 0 binary64)
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64))) #s(literal 1 binary64)))
#s(literal 0 binary64)
(exp.f64 (+.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64))) #s(literal 0 binary64)))
#s(literal 0 binary64)
(fma.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) #s(literal 1 binary64) (*.f64 (cos.f64 re) #s(literal 0 binary64)))
#s(literal 0 binary64)
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 0 binary64)))
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
#s(literal 4 binary64)
(+.f64 (cos.f64 re) (cos.f64 re))
#s(literal 0 binary64)
(+.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 0 binary64)))
#s(literal 0 binary64)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)))) #s(literal 1 binary64))
#s(literal 0 binary64)
(/.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) #s(literal 0 binary64))
#s(literal 0 binary64)
(/.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) #s(literal 1 binary64))
#s(literal 0 binary64)
(/.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) (+.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) (-.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 0 binary64)))))
#s(literal 0 binary64)
(/.f64 (-.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 0 binary64))) (-.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 0 binary64))))
#s(literal 0 binary64)
(pow.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) #s(literal 0 binary64))
#s(literal 0 binary64)
(pow.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) #s(literal 1 binary64))
#s(literal 0 binary64)
(pow.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) #s(literal 3 binary64))
#s(literal 0 binary64)
(pow.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) #s(literal 1/3 binary64))
#s(literal 0 binary64)
(sqrt.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)))
#s(literal 0 binary64)
(fabs.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)))
#s(literal 0 binary64)
(log.f64 (pow.f64 #s(literal 1 binary64) (cos.f64 re)))
#s(literal 0 binary64)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)))))
#s(literal 0 binary64)
(cbrt.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)))
#s(literal 0 binary64)
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64))))
#s(literal 0 binary64)
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64))))
#s(literal 0 binary64)
(exp.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64))))
#s(literal 0 binary64)
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64))) #s(literal 1 binary64)))
#s(literal 0 binary64)
(exp.f64 (+.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64))) #s(literal 0 binary64)))
#s(literal 0 binary64)
(fma.f64 (*.f64 (cos.f64 re) #s(literal 0 binary64)) #s(literal 1 binary64) (*.f64 (cos.f64 re) #s(literal 0 binary64)))
#s(literal 0 binary64)
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 re) #s(literal 0 binary64)) (*.f64 (cos.f64 re) #s(literal 0 binary64)))
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)

eval49.0ms (0.7%)

Compiler

Compiled 5241 to 1067 computations (79.6% saved)

prune191.0ms (2.7%)

Pruning

19 alts after pruning (14 fresh and 5 done)

PrunedKeptTotal
New33810348
Fresh145
Picked145
Done011
Total34019359
Accuracy
100.0%
Counts
359 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.5%
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64))))
✓99.9%
(*.f64 (*.f64 #s(literal 1/2 binary64) (expm1.f64 (log1p.f64 (cos.f64 re)))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
▶88.4%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))))
78.3%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
85.4%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))))
▶78.1%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))))
✓99.5%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)))
67.7%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))
✓100.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
✓11.4%
(*.f64 #s(literal 2 binary64) (cos.f64 re))
▶48.0%
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
63.8%
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))
31.0%
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
▶9.4%
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
7.8%
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
4.2%
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
54.1%
(cos.f64 re)
▶8.5%
#s(literal 2 binary64)
✓2.4%
#s(literal 0 binary64)
Compiler

Compiled 346 to 264 computations (23.7% saved)

localize219.0ms (3.2%)

Algorithm
1×egg-herbie
Localize:

Found 22 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) im)
cost-diff0
(cos.f64 re)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
✓cost-diff512
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))))
✓cost-diff0
(fma.f64 im im #s(literal 2 binary64))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
✓cost-diff128
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
✓cost-diff0
(fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))
cost-diff0
(cos.f64 re)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
✓cost-diff0
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))))
✓accuracy100.0%
(+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
accuracy100.0%
(cos.f64 re)
✓accuracy100.0%
(*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))
✓accuracy99.9%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))))
✓accuracy100.0%
(fma.f64 im im #s(literal 2 binary64))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
✓accuracy100.0%
(fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))
accuracy100.0%
(cos.f64 re)
✓accuracy100.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))))
✓accuracy99.9%
(fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))
Rules
984×unsub-neg
473×sub-neg
437×fma-define
327×distribute-lft-neg-in
286×distribute-lft-out
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
032426
173394
2205382
3727358
42663358
53911358
65440358
77691358
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
(fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))
im
(fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))
#s(literal 1/12 binary64)
(pow.f64 im #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 2 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
#s(literal 1/2 binary64)
(fma.f64 im im #s(literal 2 binary64))
im
#s(literal 2 binary64)
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
(+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
(-.f64 #s(literal 1 binary64) im)
#s(literal 1 binary64)
im
(+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))
(*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))
(*.f64 #s(literal 1/2 binary64) im)
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
(fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))
im
(fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))
#s(literal 1/12 binary64)
(pow.f64 im #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 2 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
#s(literal 3/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
#s(literal 1/2 binary64)
(fma.f64 im im #s(literal 2 binary64))
im
#s(literal 2 binary64)
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) (-.f64 #s(literal 2 binary64) im)))
(*.f64 (cos.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal 1/4 binary64))))
(*.f64 (cos.f64 re) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/4 binary64))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
(+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
(+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) (-.f64 #s(literal 2 binary64) im))
(fma.f64 #s(literal 1/2 binary64) (*.f64 im im) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) im)
#s(literal 1 binary64)
im
(+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))
(fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))
(*.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))
(fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) im)
Results
78.0ms256×0valid
Compiler

Compiled 134 to 25 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-mult: 14.0ms (33.1% of total)
ival-fma: 11.0ms (26% of total)
ival-cos: 6.0ms (14.2% of total)
ival-pow: 5.0ms (11.8% of total)
ival-add: 4.0ms (9.4% of total)
ival-sub: 1.0ms (2.4% of total)
const: 1.0ms (2.4% of total)
backward-pass: 0.0ms (0% of total)

series24.0ms (0.3%)

Counts
9 → 117
Calls
Call 1
Inputs
#<alt (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))>
#<alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))))>
#<alt (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))>
#<alt (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))>
#<alt (fma.f64 im im #s(literal 2 binary64))>
#<alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))))>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))>
#<alt (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))>
Outputs
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 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) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 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) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 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) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64)))))))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 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) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 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) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64)))))) (*.f64 #s(literal 1/48 binary64) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64))))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (cos.f64 re)>
#<alt (+.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))>
#<alt (+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))>
#<alt (+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))>
#<alt (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))))))>
#<alt #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 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 4 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 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im))>
#<alt (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im)) (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im))))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) 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 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im))) (*.f64 #s(literal 1/48 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im)))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im)))>
#<alt (cos.f64 re)>
#<alt (+.f64 (cos.f64 re) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))>
#<alt (+.f64 (cos.f64 re) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))>
#<alt (+.f64 (cos.f64 re) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 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 (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 (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 (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 (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 (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 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))>
#<alt im>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 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 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 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 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
Calls

30 calls:

TimeVariablePointExpression
4.0ms
im
@inf
(+ (* 1/12 (pow im 4)) 2)
1.0ms
re
@inf
(* (* 1/2 (cos re)) (+ (* im im) (+ (* 1/12 (pow im 4)) 2)))
1.0ms
re
@inf
(* (* 1/2 (cos re)) (+ (- 1 im) (+ 1 (* im (+ 1 (* 1/2 im))))))
1.0ms
re
@0
(* (* 1/2 (cos re)) (+ (* im im) (+ (* 1/12 (pow im 4)) 2)))
1.0ms
re
@0
(* (* 1/2 (cos re)) (+ (- 1 im) (+ 1 (* im (+ 1 (* 1/2 im))))))

rewrite227.0ms (3.3%)

Algorithm
1×batch-egg-rewrite
Rules
1125×log1p-expm1-u
194×expm1-log1p-u
190×associate-*r*
190×add-cube-cbrt
189×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032274
1422254
26162254
Stop Event
1×node limit
Counts
9 → 205
Calls
Call 1
Inputs
(fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))))
(fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))))
(*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))
(+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
Outputs
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))))
(+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 2 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 2 binary64)))
(pow.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (pow.f64 im #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (hypot.f64 im (sqrt.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(+.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))
(+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))
(+.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 2 binary64))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))))
(*.f64 (hypot.f64 im (sqrt.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))) (hypot.f64 im (sqrt.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))))
(pow.f64 (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 im (sqrt.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
#s(literal 3/4 binary64)
(+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))) #s(literal 3 binary64))
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(*.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 3 binary64)) (pow.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (*.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) im))))))
(*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (pow.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (*.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) im)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 3 binary64)) (pow.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (pow.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 3 binary64)) (pow.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (*.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) im)))))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 3 binary64)) (pow.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (pow.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 im im im)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 im im im)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)))))))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 im im im)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 im im im)) (-.f64 #s(literal 1 binary64) (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))))))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)))))) (*.f64 (+.f64 im #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64))))) (*.f64 (+.f64 im #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)))))))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))))) (*.f64 (+.f64 im #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))))) (*.f64 (+.f64 im #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))))))
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 im im im))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (fma.f64 im im im))))
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 im #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))))) (+.f64 im #s(literal 1 binary64))))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 im im im))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 im im im))))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 im #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)))) (+.f64 im #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 3 binary64)) (pow.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (*.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) im))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (pow.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) im)) #s(literal 3 binary64)) (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) im)) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) im))) (-.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) im)) (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 im (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 im (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 im (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) (-.f64 im (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 2 binary64))) (-.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) im)))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) im)) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) im))) (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) im)) (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 im (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 im (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (-.f64 im (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) im))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) im)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) im)) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) im))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) im)) (sqrt.f64 (-.f64 #s(literal 1 binary64) im)) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) im))

simplify211.0ms (3%)

Algorithm
1×egg-herbie
Rules
513×fma-neg
454×associate-*r*
411×fma-define
389×associate-*l*
337×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
060815391
1161814229
2614514173
Stop Event
1×node limit
Counts
322 → 353
Calls
Call 1
Inputs
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))))
(*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 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) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 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) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 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) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64)))))))))
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(cos.f64 re)
(+.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
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#s(literal 2 binary64)
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#s(literal 1 binary64)
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#s(literal 2 binary64)
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(+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))
(pow.f64 im #s(literal 2 binary64))
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(cos.f64 re)
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im
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
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(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
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(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
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(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))))
(+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 2 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
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(/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 im im im))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (fma.f64 im im im))))
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 im #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))))) (+.f64 im #s(literal 1 binary64))))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 im im im))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 im im im))))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 im #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)))) (+.f64 im #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 3 binary64)) (pow.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (*.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) im))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 2 binary64)) (pow.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) im)) #s(literal 3 binary64)) (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) im)) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) im))) (-.f64 (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) im)) (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 im (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 im (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 im (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) (-.f64 im (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) im) #s(literal 2 binary64))) (-.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) im)))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) im)) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) im))) (pow.f64 (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) im)) (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 im (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 im (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (-.f64 im (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) im))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) im)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) im)) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) im))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) im)) (sqrt.f64 (-.f64 #s(literal 1 binary64) im)) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) im))
Outputs
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))))
(fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))))
(fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))))
(fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 4 binary64)))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 4 binary64)))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 4 binary64)))))
(*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 4 binary64)))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 4 binary64)))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 4 binary64)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64))))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))))
(*.f64 (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 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) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 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) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64)))))))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/48 binary64)))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/48 binary64)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 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) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 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) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64)))))) (*.f64 #s(literal 1/48 binary64) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64))))))))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64))) (*.f64 (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1/48 binary64)))))))
(+.f64 (*.f64 (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/1440 binary64)) #s(literal 1/48 binary64))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))) (cos.f64 re)))
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(exp.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(+.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) im))
(-.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) im)
(exp.f64 (*.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(+.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) im))
(-.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) im)
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) im) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) im))
(-.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) im)
(fma.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) im))
(+.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) im))
(-.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) im)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) im)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) im)) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) im))
(-.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) im)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) im))
(+.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) im))
(-.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) im)
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) im)) (sqrt.f64 (-.f64 #s(literal 1 binary64) im)) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) im))
(-.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) im)
(fma.f64 (sqrt.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) im))
(+.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) im))
(-.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) im)

eval118.0ms (1.7%)

Compiler

Compiled 10438 to 1500 computations (85.6% saved)

prune72.0ms (1%)

Pruning

24 alts after pruning (17 fresh and 7 done)

PrunedKeptTotal
New4389447
Fresh189
Picked325
Done055
Total44224466
Accuracy
100.0%
Counts
466 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.5%
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64))))
▶37.4%
(*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (cos.f64 re) #s(literal 1/24 binary64)))
52.5%
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))))
✓99.9%
(*.f64 (*.f64 #s(literal 1/2 binary64) (expm1.f64 (log1p.f64 (cos.f64 re)))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
▶88.4%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 2 binary64))))
78.3%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
85.4%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))))
✓99.5%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)))
67.7%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))
✓100.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
76.9%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (expm1.f64 (log1p.f64 (-.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) im))))
✓11.4%
(*.f64 #s(literal 2 binary64) (cos.f64 re))
✓48.0%
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
20.2%
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
▶48.0%
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im))
▶63.8%
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))
78.1%
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im)))
7.8%
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
4.2%
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
54.1%
(cos.f64 re)
✓8.5%
#s(literal 2 binary64)
31.0%
#s(literal 1 binary64)
▶9.4%
#s(literal 3/4 binary64)
✓2.4%
#s(literal 0 binary64)
Compiler

Compiled 471 to 357 computations (24.2% saved)

localize305.0ms (4.4%)

Algorithm
1×egg-herbie
Localize:

Found 32 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 re)
✓cost-diff0
(*.f64 (cos.f64 re) #s(literal 1/24 binary64))
✓cost-diff0
(pow.f64 im #s(literal 4 binary64))
✓cost-diff0
(*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (cos.f64 re) #s(literal 1/24 binary64)))
✓cost-diff-6272
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))
cost-diff0
(exp.f64 im)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (exp.f64 im))
✓cost-diff0
(-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)
cost-diff-6272
(*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))
✓cost-diff-6016
(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im)
✓cost-diff-5888
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) im)
✓cost-diff0
(pow.f64 im #s(literal 4 binary64))
✓cost-diff0
(*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))
cost-diff0
(cos.f64 re)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
✓accuracy100.0%
(pow.f64 im #s(literal 4 binary64))
accuracy100.0%
(cos.f64 re)
✓accuracy99.9%
(*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (cos.f64 re) #s(literal 1/24 binary64)))
✓accuracy99.7%
(*.f64 (cos.f64 re) #s(literal 1/24 binary64))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))
accuracy100.0%
(exp.f64 im)
✓accuracy100.0%
(-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 im))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) im)
✓accuracy100.0%
(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im)
accuracy100.0%
(*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))
✓accuracy100.0%
(fma.f64 im im (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 2 binary64)))
accuracy100.0%
(cos.f64 re)
✓accuracy100.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 2 binary64))))
✓accuracy99.9%
(*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))
Rules
619×fma-define
566×sub-neg
340×distribute-lft-in
327×distribute-lft-out
295×associate-*r*
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
035488
173456
2170456
3440428
41112424
52156424
65164424
77980424
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
(fma.f64 im im (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 2 binary64)))
im
(+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))
#s(literal 1/12 binary64)
(pow.f64 im #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 2 binary64)
#s(literal 3/4 binary64)
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im))
#s(literal 1/2 binary64)
(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im)
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))
#s(literal 2 binary64)
(*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))
im
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) im)
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))
#s(literal 1/2 binary64)
(-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)
(+.f64 #s(literal 1 binary64) (exp.f64 im))
#s(literal 1 binary64)
(exp.f64 im)
im
(*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (cos.f64 re) #s(literal 1/24 binary64)))
(pow.f64 im #s(literal 4 binary64))
im
#s(literal 4 binary64)
(*.f64 (cos.f64 re) #s(literal 1/24 binary64))
(cos.f64 re)
re
#s(literal 1/24 binary64)
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (fma.f64 im im (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
(fma.f64 im im (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 2 binary64)))
(fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 im im #s(literal 2 binary64)))
im
(+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 2 binary64))
(fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))
#s(literal 1/12 binary64)
(pow.f64 im #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 2 binary64)
#s(literal 3/4 binary64)
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (-.f64 (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))) im)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 2 binary64)) im))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal 1/4 binary64)))
(fma.f64 im (*.f64 im #s(literal 1/4 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 im im) #s(literal 1/4 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im)
(+.f64 #s(literal 2 binary64) (-.f64 (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))) im))
(-.f64 (fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 2 binary64)) im)
(fma.f64 #s(literal 1/2 binary64) (*.f64 im im) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))
(fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))
(*.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)))
im
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))
(fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) im)
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) im)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 im) im)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 im) im) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)
(+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) im))
(+.f64 #s(literal 1 binary64) (exp.f64 im))
#s(literal 1 binary64)
(exp.f64 im)
im
(*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (cos.f64 re) #s(literal 1/24 binary64)))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))
(pow.f64 im #s(literal 4 binary64))
im
#s(literal 4 binary64)
(*.f64 (cos.f64 re) #s(literal 1/24 binary64))
(cos.f64 re)
re
#s(literal 1/24 binary64)
Results
165.0ms256×0valid
Compiler

Compiled 152 to 29 computations (80.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 132.0ms
ival-cos: 56.0ms (42.6% of total)
ival-sub: 44.0ms (33.4% of total)
ival-mult: 15.0ms (11.4% of total)
ival-add: 5.0ms (3.8% of total)
ival-pow: 5.0ms (3.8% of total)
ival-fma: 4.0ms (3% of total)
ival-exp: 2.0ms (1.5% of total)
const: 1.0ms (0.8% of total)
backward-pass: 0.0ms (0% of total)

series18.0ms (0.3%)

Counts
12 → 124
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))>
#<alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 2 binary64))))>
#<alt (fma.f64 im im (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 2 binary64)))>
#<alt (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im)>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im))>
#<alt (+.f64 #s(literal 1 binary64) (exp.f64 im))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))>
#<alt (*.f64 (cos.f64 re) #s(literal 1/24 binary64))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (cos.f64 re) #s(literal 1/24 binary64)))>
#<alt (pow.f64 im #s(literal 4 binary64))>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 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) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 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) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 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) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64)))))))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 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) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 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) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64)))))) (*.f64 #s(literal 1/48 binary64) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64))))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (cos.f64 re)>
#<alt (+.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))>
#<alt (+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))>
#<alt (+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))>
#<alt (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))))))>
#<alt #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 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 4 binary64))))))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<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 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 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 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<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 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 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 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) im)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 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 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) im))))))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 im (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 (exp.f64 im) im)) #s(literal 1 binary64)))>
#<alt (*.f64 im (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 (exp.f64 im) im)) #s(literal 1 binary64)))>
#<alt (*.f64 im (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 (exp.f64 im) im)) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 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 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 im (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/48 binary64) im))))))>
#<alt (*.f64 #s(literal -1/2 binary64) im)>
#<alt (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)) #s(literal 1/2 binary64)))>
#<alt (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)) #s(literal 1/2 binary64)))>
#<alt (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))))>
#<alt #s(literal 1/24 binary64)>
#<alt (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 re #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/576 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/48 binary64))))>
#<alt (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/576 binary64) (*.f64 #s(literal -1/17280 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/48 binary64))))>
#<alt (*.f64 #s(literal 1/24 binary64) (cos.f64 re))>
#<alt (*.f64 #s(literal 1/24 binary64) (cos.f64 re))>
#<alt (*.f64 #s(literal 1/24 binary64) (cos.f64 re))>
#<alt (*.f64 #s(literal 1/24 binary64) (cos.f64 re))>
#<alt (*.f64 #s(literal 1/24 binary64) (cos.f64 re))>
#<alt (*.f64 #s(literal 1/24 binary64) (cos.f64 re))>
#<alt (*.f64 #s(literal 1/24 binary64) (cos.f64 re))>
#<alt (*.f64 #s(literal 1/24 binary64) (cos.f64 re))>
#<alt (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))>
#<alt (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))>
#<alt (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))>
#<alt (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))>
#<alt (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))>
#<alt (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))>
#<alt (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))>
#<alt (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))>
#<alt (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))>
#<alt (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))>
#<alt (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))>
#<alt (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))>
#<alt (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/48 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal 1/576 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/48 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/17280 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/576 binary64) (pow.f64 im #s(literal 4 binary64))))))))>
#<alt (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))>
#<alt (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))>
#<alt (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))>
#<alt (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))>
#<alt (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))>
#<alt (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))>
#<alt (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))>
#<alt (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))>
Calls

42 calls:

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

rewrite232.0ms (3.3%)

Algorithm
1×batch-egg-rewrite
Rules
754×log1p-expm1-u
238×expm1-log1p-u
231×add-exp-log
231×add-log-exp
231×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034314
1512272
27355272
Stop Event
1×node limit
Counts
12 → 273
Calls
Call 1
Inputs
(*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 2 binary64))))
(fma.f64 im im (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 2 binary64)))
(-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im)
(*.f64 #s(literal 1/2 binary64) im)
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im))
(+.f64 #s(literal 1 binary64) (exp.f64 im))
(-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))
(*.f64 (cos.f64 re) #s(literal 1/24 binary64))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (cos.f64 re) #s(literal 1/24 binary64)))
(pow.f64 im #s(literal 4 binary64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/1728 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/12 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 8 binary64)) #s(literal 1/144 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 4 binary64))) #s(literal 1/12 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/1728 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (pow.f64 im #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (hypot.f64 im (sqrt.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (cos.f64 re)) (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(+.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))
(+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))
(+.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 2 binary64))
(+.f64 (+.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))))
(*.f64 (hypot.f64 im (sqrt.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))) (hypot.f64 im (sqrt.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))))
(pow.f64 (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 im (sqrt.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) (+.f64 #s(literal 2 binary64) (neg.f64 im)))
(+.f64 (*.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 2 binary64) im))
(+.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (neg.f64 im))
(+.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 im) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (fma.f64 (neg.f64 im) #s(literal 1 binary64) im))
(+.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 im)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) im))
(+.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 im)) (sqrt.f64 im) im))
(+.f64 (neg.f64 im) (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 im (+.f64 im (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))))
(*.f64 (-.f64 (pow.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 im (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (sqrt.f64 im)) (-.f64 (sqrt.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (sqrt.f64 im)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 im (+.f64 im (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) (-.f64 (pow.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 im (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 im (+.f64 im (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) (+.f64 im (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 im (+.f64 im (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (neg.f64 (+.f64 im (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 im) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 im) (neg.f64 im)) (*.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (neg.f64 im)))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 im) (neg.f64 im))) (-.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (neg.f64 im)))
(pow.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 3 binary64))
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(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) #s(literal 2 binary64)) (*.f64 im (+.f64 im (+.f64 #s(literal 1 binary64) (exp.f64 im))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)) (+.f64 im (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im))) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im)))))
(exp.f64 (+.f64 (log1p.f64 (-.f64 (exp.f64 im) im)) (log.f64 #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (-.f64 (exp.f64 im) im)) (log.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal 1/24 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal 1/24 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) #s(literal 1/24 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 re) #s(literal 1/24 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) #s(literal 1/24 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 re) #s(literal 1/24 binary64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 re)) #s(literal 1/24 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) #s(literal 1/24 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) #s(literal 1/24 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal 1/24 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) #s(literal 1/24 binary64))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal 1/24 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal 1/24 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 4 binary64))) (*.f64 (cos.f64 re) #s(literal 1/24 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 re) #s(literal 1/24 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 re) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 im #s(literal 4 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (cbrt.f64 (pow.f64 im #s(literal 8 binary64))))
(*.f64 (cbrt.f64 (pow.f64 im #s(literal 8 binary64))) (cbrt.f64 (pow.f64 im #s(literal 4 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 im) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 im) #s(literal 4 binary64)))
(sqrt.f64 (pow.f64 im #s(literal 8 binary64)))
(log.f64 (exp.f64 (pow.f64 im #s(literal 4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 im #s(literal 4 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 im #s(literal 4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 im #s(literal 4 binary64))))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 im)))
(exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 im)) #s(literal 1 binary64)))

simplify250.0ms (3.6%)

Algorithm
1×egg-herbie
Rules
639×fma-neg
513×associate-*r*
487×fma-define
437×associate-*l*
341×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
074114412
1176113448
2671413417
Stop Event
1×node limit
Counts
397 → 472
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 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) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 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) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 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) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64)))))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 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) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 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) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64)))))) (*.f64 #s(literal 1/48 binary64) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64))))))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64))))))
(cos.f64 re)
(+.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))))
(+.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(+.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 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (cos.f64 re)))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64))))))
#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 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 4 binary64))))))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
#s(literal 1 binary64)
(+.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 1/4 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.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 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 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 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 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.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 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 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 binary64) (pow.f64 im #s(literal 2 binary64)))))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) im)
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))
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(*.f64 #s(literal -1 binary64) im)
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) #s(literal 2 binary64)) (*.f64 im (+.f64 im (+.f64 #s(literal 1 binary64) (exp.f64 im))))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 im (+.f64 #s(literal 1 binary64) (exp.f64 im))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) #s(literal 2 binary64)) (*.f64 im (+.f64 im (+.f64 #s(literal 1 binary64) (exp.f64 im))))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) (+.f64 im (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) #s(literal 2 binary64)) (*.f64 im (+.f64 im (+.f64 #s(literal 1 binary64) (exp.f64 im)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (neg.f64 (+.f64 im (+.f64 #s(literal 1 binary64) (exp.f64 im)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 im) im) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 (exp.f64 im) im) (-.f64 (exp.f64 im) im)) (-.f64 (exp.f64 im) im))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) #s(literal 3 binary64)) (pow.f64 (neg.f64 im) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 im) (neg.f64 im)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (neg.f64 im)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 (exp.f64 im) im) (-.f64 (exp.f64 im) im))) (-.f64 #s(literal 1 binary64) (-.f64 (exp.f64 im) im)))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) #s(literal 2 binary64)) (*.f64 (neg.f64 im) (neg.f64 im))) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) (neg.f64 im)))
(pow.f64 (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im)))))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im))))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im))))
(exp.f64 (log1p.f64 (-.f64 (exp.f64 im) im)))
(exp.f64 (*.f64 (log1p.f64 (-.f64 (exp.f64 im) im)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im)) (neg.f64 im))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im))) (neg.f64 im))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im))) (neg.f64 im))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 im) im)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 im) im) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 im))) (*.f64 #s(literal 1/2 binary64) (neg.f64 im)))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 im) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im))))) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64)))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) #s(literal 2 binary64)) (*.f64 im (+.f64 im (+.f64 #s(literal 1 binary64) (exp.f64 im))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (+.f64 im (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) #s(literal 2 binary64)) (*.f64 im (+.f64 im (+.f64 #s(literal 1 binary64) (exp.f64 im))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)) (+.f64 im (+.f64 #s(literal 1 binary64) (exp.f64 im))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im))) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im)))))
(exp.f64 (+.f64 (log1p.f64 (-.f64 (exp.f64 im) im)) (log.f64 #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (-.f64 (exp.f64 im) im)) (log.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal 1/24 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 re) #s(literal 1/24 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) #s(literal 1/24 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 re) #s(literal 1/24 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) #s(literal 1/24 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 re) #s(literal 1/24 binary64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 re)) #s(literal 1/24 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) #s(literal 1/24 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) #s(literal 1/24 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal 1/24 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) #s(literal 1/24 binary64))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal 1/24 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal 1/24 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 4 binary64))) (*.f64 (cos.f64 re) #s(literal 1/24 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 re) #s(literal 1/24 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 re) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 im #s(literal 4 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (cbrt.f64 (pow.f64 im #s(literal 8 binary64))))
(*.f64 (cbrt.f64 (pow.f64 im #s(literal 8 binary64))) (cbrt.f64 (pow.f64 im #s(literal 4 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 im) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 im) #s(literal 4 binary64)))
(sqrt.f64 (pow.f64 im #s(literal 8 binary64)))
(log.f64 (exp.f64 (pow.f64 im #s(literal 4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 im #s(literal 4 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 im #s(literal 4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 im #s(literal 4 binary64))))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 im)))
(exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 im)) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 im 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) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64))))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))))
(*.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 im im #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 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) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 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) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64)))))))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 re #s(literal 2 binary64))) (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 im im #s(literal 2 binary64))) (+.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/48 binary64)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 im im #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 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) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 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) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64)))))) (*.f64 #s(literal 1/48 binary64) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64))))))))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/48 binary64) (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))))))))
(+.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 im im #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))) (*.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 im im #s(literal 2 binary64))) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/1440 binary64)) #s(literal 1/48 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 im im #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64))))))
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#s(literal 2 binary64)
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#s(literal 2 binary64)
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#s(literal 1 binary64)
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#s(literal 2 binary64)
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(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 im) im)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 im) im) #s(literal 1/2 binary64))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im))) #s(literal 3 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 im) im)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 im) im) #s(literal 1/2 binary64))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im)))))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 im) im)))))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 im) im) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 im) im)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 im) im) #s(literal 1/2 binary64))
(exp.f64 (+.f64 (log1p.f64 (-.f64 (exp.f64 im) im)) (log.f64 #s(literal 1/2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 im) im)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 im) im) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (-.f64 (exp.f64 im) im)) (log.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 im) im)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 im) im) #s(literal 1/2 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal 1/24 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal 1/24 binary64))))
(pow.f64 (*.f64 (cos.f64 re) #s(literal 1/24 binary64)) #s(literal 1 binary64))
(*.f64 (cos.f64 re) #s(literal 1/24 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) #s(literal 1/24 binary64))) #s(literal 3 binary64))
(*.f64 (cos.f64 re) #s(literal 1/24 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 re) #s(literal 1/24 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (cos.f64 re) #s(literal 1/24 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) #s(literal 1/24 binary64))) #s(literal 2 binary64))
(*.f64 (cos.f64 re) #s(literal 1/24 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 re) #s(literal 1/24 binary64)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 (cos.f64 re) #s(literal 1/24 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 re)) #s(literal 1/24 binary64)))
(*.f64 (cos.f64 re) #s(literal 1/24 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) #s(literal 1/24 binary64)))))
(*.f64 (cos.f64 re) #s(literal 1/24 binary64))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) #s(literal 1/24 binary64)) #s(literal 3 binary64)))
(*.f64 (cos.f64 re) #s(literal 1/24 binary64))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal 1/24 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) #s(literal 1/24 binary64))))
(*.f64 (cos.f64 re) #s(literal 1/24 binary64))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal 1/24 binary64))))
(*.f64 (cos.f64 re) #s(literal 1/24 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 re) #s(literal 1/24 binary64))) #s(literal 1 binary64)))
(*.f64 (cos.f64 re) #s(literal 1/24 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (cos.f64 re) #s(literal 1/24 binary64)))))
(pow.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 1 binary64))
(*.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64)))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (cos.f64 re) #s(literal 1/24 binary64)))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))) #s(literal 3 binary64))
(*.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64)))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (cos.f64 re) #s(literal 1/24 binary64)))
(pow.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64)))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (cos.f64 re) #s(literal 1/24 binary64)))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))) #s(literal 2 binary64))
(*.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64)))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (cos.f64 re) #s(literal 1/24 binary64)))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64))) #s(literal 2 binary64)))
(fabs.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (cos.f64 re) #s(literal 1/24 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 4 binary64))) (*.f64 (cos.f64 re) #s(literal 1/24 binary64))))
(*.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64)))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (cos.f64 re) #s(literal 1/24 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))))))
(*.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64)))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (cos.f64 re) #s(literal 1/24 binary64)))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)))) #s(literal 3 binary64)))
(*.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64)))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (cos.f64 re) #s(literal 1/24 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 re) #s(literal 1/24 binary64)) #s(literal 3 binary64))))
(*.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64)))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (cos.f64 re) #s(literal 1/24 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 re) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 3 binary64))))
(*.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64)))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (cos.f64 re) #s(literal 1/24 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (cos.f64 re) #s(literal 1/24 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64)))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (cos.f64 re) #s(literal 1/24 binary64)))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64)))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (cos.f64 re) #s(literal 1/24 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64))))) #s(literal 1 binary64)))
(*.f64 (cos.f64 re) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64)))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (cos.f64 re) #s(literal 1/24 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 im #s(literal 4 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 im #s(literal 4 binary64))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 im #s(literal 4 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64)))
(pow.f64 im #s(literal 4 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(pow.f64 im #s(literal 4 binary64))
(*.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (cbrt.f64 (pow.f64 im #s(literal 8 binary64))))
(*.f64 (cbrt.f64 (pow.f64 im #s(literal 8 binary64))) (cbrt.f64 (pow.f64 im #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (cbrt.f64 (pow.f64 im #s(literal 8 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 im) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 im) #s(literal 4 binary64)))
(pow.f64 (sqrt.f64 im) #s(literal 8 binary64))
(sqrt.f64 (pow.f64 im #s(literal 8 binary64)))
(log.f64 (exp.f64 (pow.f64 im #s(literal 4 binary64))))
(pow.f64 im #s(literal 4 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 im #s(literal 4 binary64)))))
(pow.f64 im #s(literal 4 binary64))
(cbrt.f64 (pow.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 3 binary64)))
(pow.f64 im #s(literal 4 binary64))
(expm1.f64 (log1p.f64 (pow.f64 im #s(literal 4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 im #s(literal 4 binary64))))
(pow.f64 im #s(literal 4 binary64))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 im)))
(pow.f64 im #s(literal 4 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 im)) #s(literal 1 binary64)))
(pow.f64 im #s(literal 4 binary64))

eval113.0ms (1.6%)

Compiler

Compiled 10120 to 2075 computations (79.5% saved)

prune128.0ms (1.8%)

Pruning

25 alts after pruning (14 fresh and 11 done)

PrunedKeptTotal
New6133616
Fresh11112
Picked055
Done167
Total61525640
Accuracy
100.0%
Counts
640 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.5%
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64))))
✓37.4%
(*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (cos.f64 re) #s(literal 1/24 binary64)))
27.3%
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64))
52.5%
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))))
✓99.9%
(*.f64 (*.f64 #s(literal 1/2 binary64) (expm1.f64 (log1p.f64 (cos.f64 re)))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
✓88.4%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 2 binary64))))
78.3%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
85.4%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))))
✓99.5%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)))
67.7%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))
✓100.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
76.9%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (expm1.f64 (log1p.f64 (-.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) im))))
2.4%
(*.f64 im #s(literal -1/2 binary64))
✓48.0%
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
52.7%
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))) im))
✓48.0%
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im))
✓63.8%
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))
78.1%
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im)))
7.8%
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
4.2%
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
54.1%
(cos.f64 re)
✓8.5%
#s(literal 2 binary64)
31.0%
#s(literal 1 binary64)
✓9.4%
#s(literal 3/4 binary64)
✓2.4%
#s(literal 0 binary64)
Compiler

Compiled 581 to 318 computations (45.3% saved)

regimes61.0ms (0.9%)

Counts
33 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(*.f64 im #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))) im))
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (cos.f64 re) #s(literal 1/24 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 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) (cos.f64 re)) (fma.f64 im im (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (expm1.f64 (log1p.f64 (cos.f64 re)))) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (expm1.f64 (log1p.f64 (-.f64 (fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) im))))
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Calls

6 calls:

11.0ms
im
11.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
10.0ms
re
10.0ms
(cos.f64 re)
9.0ms
(+.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)

regimes53.0ms (0.8%)

Counts
28 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(*.f64 im #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))) im))
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (cos.f64 re) #s(literal 1/24 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64)))) (exp.f64 im)))
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)))
Calls

5 calls:

15.0ms
re
10.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
9.0ms
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
9.0ms
im
8.0ms
(cos.f64 re)
Results
AccuracySegmentsBranch
99.5%1re
99.5%1im
99.5%1(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
99.5%1(cos.f64 re)
99.5%1(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
Compiler

Compiled 24 to 18 computations (25% saved)

regimes82.0ms (1.2%)

Counts
26 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(*.f64 im #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))) im))
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (cos.f64 re) #s(literal 1/24 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))))
Calls

5 calls:

48.0ms
re
10.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
8.0ms
im
8.0ms
(cos.f64 re)
6.0ms
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
Results
AccuracySegmentsBranch
94.3%2re
96.6%3im
94.1%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
94.1%2(cos.f64 re)
88.2%2(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
Compiler

Compiled 24 to 18 computations (25% saved)

regimes10.0ms (0.1%)

Counts
25 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(*.f64 im #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))) im))
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))))
(pow.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (cos.f64 re) #s(literal 1/24 binary64)))
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))))
Calls

1 calls:

8.0ms
im
Results
AccuracySegmentsBranch
96.4%3im
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes46.0ms (0.7%)

Counts
21 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(*.f64 im #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))) im))
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im)))
Calls

4 calls:

16.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
15.0ms
im
7.0ms
re
6.0ms
(cos.f64 re)
Results
AccuracySegmentsBranch
89.7%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
89.7%2(cos.f64 re)
89.9%2re
93.6%3im
Compiler

Compiled 16 to 12 computations (25% saved)

regimes22.0ms (0.3%)

Counts
18 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(*.f64 im #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))) im))
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))
Outputs
(cos.f64 re)
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im))
Calls

3 calls:

9.0ms
(cos.f64 re)
6.0ms
im
6.0ms
re
Results
AccuracySegmentsBranch
82.3%4(cos.f64 re)
79.8%3re
86.6%2im
Compiler

Compiled 10 to 7 computations (30% saved)

regimes12.0ms (0.2%)

Counts
17 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(*.f64 im #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))) im))
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64))))
Outputs
(cos.f64 re)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64))))
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64))
Calls

2 calls:

6.0ms
im
5.0ms
(cos.f64 re)
Results
AccuracySegmentsBranch
69.9%2(cos.f64 re)
79.9%3im
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes13.0ms (0.2%)

Counts
16 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(*.f64 im #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))) im))
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
Outputs
(cos.f64 re)
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64))
Calls

2 calls:

7.0ms
im
6.0ms
re
Results
AccuracySegmentsBranch
69.4%2re
78.1%2im
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts
14 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(*.f64 im #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))) im))
(cos.f64 re)
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
Outputs
(cos.f64 re)
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))) im))
Calls

1 calls:

5.0ms
im
Results
AccuracySegmentsBranch
75.5%2im
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.2%)

Counts
11 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(*.f64 im #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))) im))
Outputs
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))) im))
Calls

2 calls:

6.0ms
im
4.0ms
re
Results
AccuracySegmentsBranch
52.7%1re
52.7%1im
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts
10 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(*.f64 im #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im))
Outputs
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im))
Calls

2 calls:

4.0ms
re
4.0ms
im
Results
AccuracySegmentsBranch
48.0%1re
48.0%1im
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts
9 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(*.f64 im #s(literal -1/2 binary64))
Outputs
#s(literal 1 binary64)
Calls

2 calls:

5.0ms
re
3.0ms
im
Results
AccuracySegmentsBranch
31.0%1im
31.0%1re
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 3/4 binary64)
Outputs
#s(literal 3/4 binary64)
Calls

2 calls:

2.0ms
im
2.0ms
re
Results
AccuracySegmentsBranch
9.4%1im
9.4%1re
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

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

Compiled 6 to 4 computations (33.3% saved)

bsearch26.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×predicate-same
1×narrow-enough
Steps
TimeLeftRight
4.0ms
8.585595309221775e+97
2.0794656703767757e+107
20.0ms
0.06577269051151913
13324.603573998867
Results
17.0ms176×0valid
Compiler

Compiled 297 to 228 computations (23.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-cos: 4.0ms (34.5% of total)
ival-exp: 3.0ms (25.9% of total)
ival-mult: 3.0ms (25.9% of total)
ival-add: 1.0ms (8.6% of total)
ival-neg: 1.0ms (8.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch102.0ms (1.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
19.0ms
8.585595309221775e+97
2.0794656703767757e+107
79.0ms
0.06577269051151913
13324.603573998867
Results
87.0ms288×0valid
Compiler

Compiled 666 to 482 computations (27.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-exp: 64.0ms (81.2% of total)
ival-cos: 7.0ms (8.9% of total)
ival-mult: 4.0ms (5.1% of total)
ival-add: 2.0ms (2.5% of total)
ival-neg: 1.0ms (1.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch34.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
11.0ms
1.297137044495102e+154
4.577299307669761e+154
20.0ms
0.06577269051151913
13324.603573998867
Results
23.0ms224×0valid
Compiler

Compiled 438 to 336 computations (23.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-cos: 5.0ms (31.4% of total)
ival-mult: 5.0ms (31.4% of total)
ival-exp: 4.0ms (25.1% of total)
ival-add: 1.0ms (6.3% of total)
ival-neg: 1.0ms (6.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch22.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
20.0ms
0.06577269051151913
13324.603573998867
Results
14.0ms144×0valid
Compiler

Compiled 162 to 131 computations (19.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-exp: 3.0ms (30.1% of total)
ival-cos: 3.0ms (30.1% of total)
ival-mult: 2.0ms (20.1% of total)
ival-add: 1.0ms (10% of total)
ival-neg: 1.0ms (10% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch30.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
8.0ms
8.623708806801559e+72
1.2901286592724864e+73
20.0ms
0.06577269051151913
13324.603573998867
Results
21.0ms208×0valid
Compiler

Compiled 225 to 182 computations (19.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-cos: 4.0ms (29.3% of total)
ival-exp: 3.0ms (21.9% of total)
ival-mult: 3.0ms (21.9% of total)
ival-add: 1.0ms (7.3% of total)
ival-neg: 1.0ms (7.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch23.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
22.0ms
412276002425.00885
8.03491180172526e+28
Results
16.0ms160×0valid
Compiler

Compiled 148 to 124 computations (16.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-cos: 5.0ms (43.7% of total)
ival-mult: 3.0ms (26.2% of total)
ival-exp: 2.0ms (17.5% of total)
ival-add: 1.0ms (8.7% of total)
ival-neg: 1.0ms (8.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch16.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
15.0ms
8.294702985056612e+54
1.4079152192850452e+57
Results
10.0ms112×0valid
Compiler

Compiled 193 to 147 computations (23.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-cos: 2.0ms (29.4% of total)
ival-mult: 2.0ms (29.4% of total)
ival-exp: 1.0ms (14.7% of total)
ival-add: 1.0ms (14.7% of total)
ival-neg: 1.0ms (14.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify13.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
18×*-commutative
17×+-commutative
6×sub-neg
4×if-if-or-not
3×1-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
093856
1140852
2148852
3150852
4151852
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 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)))
(if (<=.f64 im #s(literal 8106479329266893/2251799813685248 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64))) (if (<=.f64 im #s(literal 5000000000000000009578375428673343681079775636325960055764017572996896621019943779806180725540901617664 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))))))
(if (<=.f64 im #s(literal 3884354678607053/562949953421312 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))) (if (<=.f64 im #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))))))
(if (<=.f64 im #s(literal 5/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im))) (if (<=.f64 im #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im)))))
(if (<=.f64 im #s(literal 4278419646001971/1125899906842624 binary64)) (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))
(if (<=.f64 im #s(literal 540 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 12499999999999999395602351475349024735649511350376669395900852470456254464 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64)))) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64))))
(if (<=.f64 im #s(literal 469999999999999976008581120 binary64)) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64)))
(if (<=.f64 im #s(literal 8499999999999999474489809215783450537784436537843253248 binary64)) (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))) im)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))) im))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im))
#s(literal 1 binary64)
#s(literal 3/4 binary64)
#s(literal 0 binary64)
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) im)))
(if (<=.f64 im #s(literal 8106479329266893/2251799813685248 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64))) (if (<=.f64 im #s(literal 5000000000000000009578375428673343681079775636325960055764017572996896621019943779806180725540901617664 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))))))
(if (<=.f64 im #s(literal 8106479329266893/2251799813685248 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 im im #s(literal 2 binary64))) (if (<=.f64 im #s(literal 5000000000000000009578375428673343681079775636325960055764017572996896621019943779806180725540901617664 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (exp.f64 im) #s(literal 1 binary64)) im)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))))))
(if (<=.f64 im #s(literal 3884354678607053/562949953421312 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))) (if (<=.f64 im #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))))))
(if (or (<=.f64 im #s(literal 3884354678607053/562949953421312 binary64)) (not (<=.f64 im #s(literal 10000000000000000019156750857346687362159551272651920111528035145993793242039887559612361451081803235328 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (-.f64 #s(literal 1 binary64) im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (exp.f64 im) #s(literal 1 binary64)) im)))
(if (<=.f64 im #s(literal 5/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im))) (if (<=.f64 im #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im)))))
(if (or (<=.f64 im #s(literal 5/2 binary64)) (not (<=.f64 im #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (exp.f64 im) #s(literal 1 binary64)) im)))
(if (<=.f64 im #s(literal 4278419646001971/1125899906842624 binary64)) (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 im)) im)))
(if (<=.f64 im #s(literal 4278419646001971/1125899906842624 binary64)) (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (exp.f64 im) #s(literal 1 binary64)) im)))
(if (<=.f64 im #s(literal 540 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 12499999999999999395602351475349024735649511350376669395900852470456254464 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 re #s(literal 2 binary64)))) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64))))
(if (<=.f64 im #s(literal 540 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 12499999999999999395602351475349024735649511350376669395900852470456254464 binary64)) (+.f64 #s(literal 2 binary64) (neg.f64 (pow.f64 re #s(literal 2 binary64)))) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64))))
(if (<=.f64 im #s(literal 540 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 12499999999999999395602351475349024735649511350376669395900852470456254464 binary64)) (-.f64 #s(literal 2 binary64) (pow.f64 re #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64))))
(if (<=.f64 im #s(literal 469999999999999976008581120 binary64)) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/24 binary64)))
(if (<=.f64 im #s(literal 8499999999999999474489809215783450537784436537843253248 binary64)) (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))) im)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))) im))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))) im))
#s(literal 1 binary64)
#s(literal 3/4 binary64)
#s(literal 0 binary64)

soundness1.1s (15.1%)

Rules
1125×log1p-expm1-u
719×associate-*r/
713×fma-define
639×fma-neg
565×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032274
1422254
26162254
060815391
1161814229
2614514173
016137
1202137
23306137
01973069
15052795
216132620
350692588
074114412
1176113448
2671413417
Stop Event
1×fuel
1×node limit
1×node limit
1×unsound
1×node limit
1×node limit
Compiler

Compiled 683 to 249 computations (63.5% saved)

preprocess383.0ms (5.5%)

Remove

(abs im)

(abs re)

Compiler

Compiled 774 to 386 computations (50.1% saved)

end0.0ms (0%)

Profiling

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