math.cos on complex, real part

Time bar (total: 8.4s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 14 to 11 computations (21.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
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)

sample1.7s (19.8%)

Results
1.4s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 846.0ms
ival-cos: 288.0ms (34% of total)
ival-mult: 195.0ms (23% of total)
ival-add: 182.0ms (21.5% of total)
ival-exp: 125.0ms (14.8% of total)
ival-neg: 42.0ms (5% of total)
const: 12.0ms (1.4% of total)
backward-pass: 2.0ms (0.2% of total)
Bogosity

preprocess141.0ms (1.7%)

Algorithm
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
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)

explain517.0ms (6.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(exp.f64 im)
00-0-(neg.f64 im)
00-0-(exp.f64 (neg.f64 im))
00-0-(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
00-0-(cos.f64 re)
00-0-im
00-0-(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
00-0-re
00-0-#s(literal 1/2 binary64)
00-0-(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-01255
Precision?
0.0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-010
Precision?
0.0
Recall?
0/0
Results
314.0ms512×0valid
Compiler

Compiled 98 to 42 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 266.0ms
ival-cos: 171.0ms (64.4% of total)
ival-mult: 82.0ms (30.9% of total)
ival-exp: 6.0ms (2.3% of total)
ival-add: 3.0ms (1.1% of total)
ival-neg: 2.0ms (0.8% of total)
const: 1.0ms (0.4% 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)

simplify20.0ms (0.2%)

Algorithm
egg-herbie
Localize:

Found 4 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))
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
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)

localize42.0ms (0.5%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(neg.f64 im)
accuracy100.0%
(exp.f64 (neg.f64 im))
accuracy100.0%
(exp.f64 im)
accuracy100.0%
(cos.f64 re)
Results
31.0ms256×0valid
Compiler

Compiled 36 to 11 computations (69.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-cos: 6.0ms (36.9% of total)
ival-mult: 4.0ms (24.6% of total)
ival-exp: 3.0ms (18.5% of total)
ival-add: 1.0ms (6.2% of total)
ival-neg: 1.0ms (6.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series7.0ms (0.1%)

Counts
6 → 44
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/2 binary64) (cos.f64 re))>
#<alt (cos.f64 re)>
#<alt (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))>
#<alt (exp.f64 (neg.f64 im))>
#<alt (exp.f64 im)>
#<alt (neg.f64 im)>
Outputs
#<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 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 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 im #s(literal 2 binary64))))))))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))>
#<alt (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im)))>
#<alt #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 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 (*.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)>
Calls

18 calls:

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

rewrite216.0ms (2.6%)

Algorithm
batch-egg-rewrite
Rules
76×add-exp-log
76×add-log-exp
76×log1p-expm1-u
76×expm1-log1p-u
74×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01596
117496
2257196
Stop Event
unsound
Counts
6 → 47
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
(cos.f64 re)
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(exp.f64 im)
(neg.f64 im)
Outputs
(-.f64 (exp.f64 (log1p.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 -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)))
(+.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 -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)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal 1 binary64)
#s(literal 3 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)

simplify131.0ms (1.6%)

Algorithm
egg-herbie
Rules
957×fma-define
627×fma-neg
409×sub-neg
402×distribute-lft-in
370×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01481446
12991342
26811302
315941200
431611200
540911200
659891200
779771200
Stop Event
node limit
Counts
91 → 102
Calls
Call 1
Inputs
#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 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 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)))
#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 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))))))
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(-.f64 (exp.f64 (log1p.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 -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)))
(+.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 -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)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal 1 binary64)
#s(literal 3 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
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))
(fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (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)) (fma.f64 #s(literal 1/48 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 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))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/1440 binary64))) #s(literal -1/4 binary64))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/1440 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/48 binary64) (fma.f64 #s(literal -1/1440 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64))) #s(literal 1/2 binary64))
#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)) #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 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)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 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 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/720 binary64))) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64) (fma.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 4 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64)))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))
(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 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)))
(fma.f64 im im (fma.f64 #s(literal 1/12 binary64) (pow.f64 im #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (pow.f64 im #s(literal 6 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)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))
(+.f64 #s(literal 1 binary64) (neg.f64 im))
(-.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 (fma.f64 #s(literal 1/2 binary64) im #s(literal -1 binary64))))
(fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal -1 binary64)) #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))))
(+.f64 #s(literal 1 binary64) (*.f64 im (fma.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal -1/6 binary64))) #s(literal -1 binary64))))
(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 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))))
(fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 1 binary64))
(+.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))))))
(+.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)))))))
(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))
(*.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)
(-.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 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 0 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))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64))))
(+.f64 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 0 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 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 0 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 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 0 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 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 0 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 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 0 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 (*.f64 (cos.f64 re) #s(literal -2 binary64)) #s(literal 0 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 #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))
(expm1.f64 (log1p.f64 (cos.f64 re)))
(+.f64 (cos.f64 re) #s(literal 0 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))
(expm1.f64 (log1p.f64 (cos.f64 re)))
(+.f64 (cos.f64 re) #s(literal 0 binary64))
(cos.f64 re)
(*.f64 #s(literal 1 binary64) (cos.f64 re))
(expm1.f64 (log1p.f64 (cos.f64 re)))
(+.f64 (cos.f64 re) #s(literal 0 binary64))
(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))
(expm1.f64 (log1p.f64 (cos.f64 re)))
(+.f64 (cos.f64 re) #s(literal 0 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)))
(expm1.f64 (log1p.f64 (cos.f64 re)))
(+.f64 (cos.f64 re) #s(literal 0 binary64))
(cos.f64 re)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 re))))
(expm1.f64 (log1p.f64 (cos.f64 re)))
(+.f64 (cos.f64 re) #s(literal 0 binary64))
(cos.f64 re)
(cbrt.f64 (cos.f64 re))
(expm1.f64 (log1p.f64 (cos.f64 re)))
(+.f64 (cos.f64 re) #s(literal 0 binary64))
(cos.f64 re)
(log1p.f64 (expm1.f64 (cos.f64 re)))
(expm1.f64 (log1p.f64 (cos.f64 re)))
(+.f64 (cos.f64 re) #s(literal 0 binary64))
(cos.f64 re)
(exp.f64 (log.f64 (cos.f64 re)))
(expm1.f64 (log1p.f64 (cos.f64 re)))
(+.f64 (cos.f64 re) #s(literal 0 binary64))
(cos.f64 re)
(exp.f64 (*.f64 (log.f64 (cos.f64 re)) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 re)))
(+.f64 (cos.f64 re) #s(literal 0 binary64))
(cos.f64 re)
#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)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal 1 binary64)
#s(literal 3 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 (0.2%)

Compiler

Compiled 1570 to 406 computations (74.1% saved)

prune117.0ms (1.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New993102
Fresh000
Picked101
Done000
Total1003103
Accuracy
100.0%
Counts
103 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.4%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
51.1%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 2 binary64))
67.8%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 29 to 24 computations (17.2% saved)

simplify1.2s (14.8%)

Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff-128
(cos.f64 re)
cost-diff0
(exp.f64 im)
cost-diff0
(+.f64 #s(literal 3 binary64) (exp.f64 im))
cost-diff0
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
cost-diff-128
(cos.f64 re)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
cost-diff256
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 2 binary64))
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))
Rules
3461×associate-*r*
1054×associate-/l*
791×*-commutative
473×fma-define
468×associate-/r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
021248
149230
2108210
3144206
4286206
5860206
61138206
71217206
81324206
91636206
102660206
113041206
123053206
133053206
143302206
153487206
163526206
173539206
183554206
193566206
203579206
213591206
223605206
233617206
243629206
254713206
265022206
275092206
285105206
295117206
305119206
315121206
325121206
335132206
345142206
355156206
365168206
375180206
385192206
395205206
405217206
415231206
425243206
435255206
445267206
455280206
465292206
475306206
485318206
495330206
505342206
515354206
525366206
535379206
545391206
555404206
565416206
575430206
585442206
595454206
605466206
615479206
625491206
635505206
645517206
655529206
665541206
675554206
685566206
695580206
705592206
715604206
725616206
Stop Event
node limit
Calls
Call 1
Inputs
(*.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)) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
#s(literal 2 binary64)
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
(+.f64 #s(literal 3 binary64) (exp.f64 im))
#s(literal 3 binary64)
(exp.f64 im)
im
Outputs
(*.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)) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) #s(literal 2 binary64)))
(*.f64 (cos.f64 re) #s(literal 1 binary64))
(cos.f64 re)
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) #s(literal 2 binary64)))
(*.f64 (cos.f64 re) #s(literal 1 binary64))
re
#s(literal 2 binary64)
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) #s(literal 3 binary64)))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) #s(literal 3 binary64))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) #s(literal 2 binary64)))
(*.f64 (cos.f64 re) #s(literal 1 binary64))
re
(+.f64 #s(literal 3 binary64) (exp.f64 im))
(+.f64 (exp.f64 im) #s(literal 3 binary64))
#s(literal 3 binary64)
(exp.f64 im)
im

localize479.0ms (5.7%)

Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(exp.f64 im)
accuracy100.0%
(cos.f64 re)
accuracy100.0%
(+.f64 #s(literal 3 binary64) (exp.f64 im))
accuracy100.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
accuracy100.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 2 binary64))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
accuracy100.0%
(cos.f64 re)
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)
Results
44.0ms256×0valid
Compiler

Compiled 66 to 16 computations (75.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 7.0ms (30.6% of total)
ival-cos: 6.0ms (26.3% of total)
ival-exp: 5.0ms (21.9% of total)
ival-add: 3.0ms (13.1% of total)
const: 1.0ms (4.4% of total)
ival-neg: 1.0ms (4.4% of total)
backward-pass: 0.0ms (0% of total)

series9.0ms (0.1%)

Counts
4 → 52
Calls
Call 1
Inputs
#<alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 2 binary64))>
#<alt (+.f64 #s(literal 3 binary64) (exp.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 #s(literal 3 binary64) (exp.f64 im)))>
Outputs
#<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 #s(literal 4 binary64)>
#<alt (+.f64 #s(literal 4 binary64) im)>
#<alt (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))>
#<alt (+.f64 #s(literal 4 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 1/2 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 #s(literal 3 binary64) (exp.f64 im)))>
#<alt (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))) (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 3 binary64) (exp.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 #s(literal 3 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/48 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (*.f64 #s(literal 2 binary64) (cos.f64 re))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (cos.f64 re))) (*.f64 #s(literal 2 binary64) (cos.f64 re)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) (*.f64 im (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 im (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) (*.f64 im (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 im (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 im (cos.f64 re))) (*.f64 #s(literal 1/4 binary64) (cos.f64 re)))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))>
Calls

15 calls:

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

rewrite68.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
136×associate-*r*
129×add-exp-log
129×add-log-exp
128×log1p-expm1-u
128×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02168
128368
2476968
Stop Event
unsound
Counts
4 → 136
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 2 binary64))
(+.f64 #s(literal 3 binary64) (exp.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 #s(literal 3 binary64) (exp.f64 im)))
Outputs
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 #s(literal -28 binary64) (cos.f64 re))
(-.f64 (cos.f64 re) #s(literal -28 binary64))
(/.f64 (cos.f64 re) #s(literal -28 binary64))
(/.f64 (cos.f64 re) (+.f64 (cos.f64 re) (-.f64 (cos.f64 re) (cos.f64 re))))
(/.f64 (+.f64 (cos.f64 (+.f64 re re)) (cos.f64 (-.f64 re re))) #s(literal -28 binary64))
(/.f64 (-.f64 (cos.f64 re) (cos.f64 re)) (-.f64 (cos.f64 re) (cos.f64 re)))
(pow.f64 (cos.f64 re) #s(literal -28 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 -28 binary64) (expm1.f64 (cos.f64 re))))
(cbrt.f64 (cos.f64 re))
(cos.f64 re)
(expm1.f64 (log.f64 (cos.f64 re)))
(log1p.f64 (expm1.f64 (cos.f64 re)))
(exp.f64 (log.f64 (cos.f64 re)))
(exp.f64 (*.f64 (log.f64 (cos.f64 re)) #s(literal -28 binary64)))
(fma.f64 (cos.f64 re) #s(literal -28 binary64) (cos.f64 re))
(fma.f64 #s(literal -28 binary64) (cos.f64 re) (cos.f64 re))
#s(literal -28 binary64)
#s(literal -26 binary64)
#s(literal -18 binary64)
#s(literal -8 binary64)
#s(literal -7 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/8 binary64)
#s(literal 1/7 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 7 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 10 binary64)
#s(literal 11 binary64)
#s(literal 12 binary64)
#s(literal 13 binary64)
#s(literal 19 binary64)
#s(literal 26 binary64)
#s(literal 27 binary64)
#s(literal 28 binary64)
#s(literal 49 binary64)
#s(literal 64 binary64)
#s(literal 80 binary64)
#s(literal 81 binary64)
#s(literal 91 binary64)
#s(literal 100 binary64)
#s(literal 224 binary64)
#s(literal 343 binary64)
#s(literal 512 binary64)
#s(literal 703 binary64)
#s(literal 721 binary64)
#s(literal 728 binary64)
#s(literal 729 binary64)
#s(literal 784 binary64)
#s(literal 19683 binary64)
#s(literal 19684 binary64)
#s(literal 21952 binary64)
#s(literal -28 binary64)
#s(literal -26 binary64)
#s(literal -18 binary64)
#s(literal -8 binary64)
#s(literal -7 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/8 binary64)
#s(literal 1/7 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 7 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 10 binary64)
#s(literal 11 binary64)
#s(literal 12 binary64)
#s(literal 13 binary64)
#s(literal 19 binary64)
#s(literal 26 binary64)
#s(literal 27 binary64)
#s(literal 28 binary64)
#s(literal 49 binary64)
#s(literal 64 binary64)
#s(literal 80 binary64)
#s(literal 81 binary64)
#s(literal 91 binary64)
#s(literal 100 binary64)
#s(literal 224 binary64)
#s(literal 343 binary64)
#s(literal 512 binary64)
#s(literal 703 binary64)
#s(literal 721 binary64)
#s(literal 728 binary64)
#s(literal 729 binary64)
#s(literal 784 binary64)
#s(literal 19683 binary64)
#s(literal 19684 binary64)
#s(literal 21952 binary64)
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 #s(literal -28 binary64) (cos.f64 re))
(-.f64 (cos.f64 re) #s(literal -28 binary64))
(/.f64 (cos.f64 re) #s(literal -28 binary64))
(/.f64 (cos.f64 re) (+.f64 (cos.f64 re) (-.f64 (cos.f64 re) (cos.f64 re))))
(/.f64 (+.f64 (cos.f64 (+.f64 re re)) (cos.f64 (-.f64 re re))) #s(literal -28 binary64))
(/.f64 (-.f64 (cos.f64 re) (cos.f64 re)) (-.f64 (cos.f64 re) (cos.f64 re)))
(pow.f64 (cos.f64 re) #s(literal -28 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 -28 binary64) (expm1.f64 (cos.f64 re))))
(cbrt.f64 (cos.f64 re))
(cos.f64 re)
(expm1.f64 (log.f64 (cos.f64 re)))
(log1p.f64 (expm1.f64 (cos.f64 re)))
(exp.f64 (log.f64 (cos.f64 re)))
(exp.f64 (*.f64 (log.f64 (cos.f64 re)) #s(literal -28 binary64)))
(fma.f64 (cos.f64 re) #s(literal -28 binary64) (cos.f64 re))
(fma.f64 #s(literal -28 binary64) (cos.f64 re) (cos.f64 re))

simplify87.0ms (1%)

Algorithm
egg-herbie
Rules
570×fma-define
428×sub-neg
367×+-commutative
340×associate-*r*
263×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0180753
1428663
21210632
33898632
45868632
Stop Event
node limit
Counts
188 → 109
Calls
Call 1
Inputs
#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)
#s(literal 4 binary64)
(+.f64 #s(literal 4 binary64) im)
(+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))
(+.f64 #s(literal 4 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 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 2 binary64))))))))
(*.f64 #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 (*.f64 #s(literal -1 binary64) 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 (*.f64 #s(literal -1 binary64) im))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
(+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))) (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 3 binary64) (exp.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 #s(literal 3 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/48 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(*.f64 #s(literal 2 binary64) (cos.f64 re))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (cos.f64 re))) (*.f64 #s(literal 2 binary64) (cos.f64 re)))
(+.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) (*.f64 im (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 im (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
(+.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) (*.f64 im (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 im (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 im (cos.f64 re))) (*.f64 #s(literal 1/4 binary64) (cos.f64 re)))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 #s(literal -28 binary64) (cos.f64 re))
(-.f64 (cos.f64 re) #s(literal -28 binary64))
(/.f64 (cos.f64 re) #s(literal -28 binary64))
(/.f64 (cos.f64 re) (+.f64 (cos.f64 re) (-.f64 (cos.f64 re) (cos.f64 re))))
(/.f64 (+.f64 (cos.f64 (+.f64 re re)) (cos.f64 (-.f64 re re))) #s(literal -28 binary64))
(/.f64 (-.f64 (cos.f64 re) (cos.f64 re)) (-.f64 (cos.f64 re) (cos.f64 re)))
(pow.f64 (cos.f64 re) #s(literal -28 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 -28 binary64) (expm1.f64 (cos.f64 re))))
(cbrt.f64 (cos.f64 re))
(cos.f64 re)
(expm1.f64 (log.f64 (cos.f64 re)))
(log1p.f64 (expm1.f64 (cos.f64 re)))
(exp.f64 (log.f64 (cos.f64 re)))
(exp.f64 (*.f64 (log.f64 (cos.f64 re)) #s(literal -28 binary64)))
(fma.f64 (cos.f64 re) #s(literal -28 binary64) (cos.f64 re))
(fma.f64 #s(literal -28 binary64) (cos.f64 re) (cos.f64 re))
#s(literal -28 binary64)
#s(literal -26 binary64)
#s(literal -18 binary64)
#s(literal -8 binary64)
#s(literal -7 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/8 binary64)
#s(literal 1/7 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 7 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 10 binary64)
#s(literal 11 binary64)
#s(literal 12 binary64)
#s(literal 13 binary64)
#s(literal 19 binary64)
#s(literal 26 binary64)
#s(literal 27 binary64)
#s(literal 28 binary64)
#s(literal 49 binary64)
#s(literal 64 binary64)
#s(literal 80 binary64)
#s(literal 81 binary64)
#s(literal 91 binary64)
#s(literal 100 binary64)
#s(literal 224 binary64)
#s(literal 343 binary64)
#s(literal 512 binary64)
#s(literal 703 binary64)
#s(literal 721 binary64)
#s(literal 728 binary64)
#s(literal 729 binary64)
#s(literal 784 binary64)
#s(literal 19683 binary64)
#s(literal 19684 binary64)
#s(literal 21952 binary64)
#s(literal -28 binary64)
#s(literal -26 binary64)
#s(literal -18 binary64)
#s(literal -8 binary64)
#s(literal -7 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/8 binary64)
#s(literal 1/7 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 7 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 10 binary64)
#s(literal 11 binary64)
#s(literal 12 binary64)
#s(literal 13 binary64)
#s(literal 19 binary64)
#s(literal 26 binary64)
#s(literal 27 binary64)
#s(literal 28 binary64)
#s(literal 49 binary64)
#s(literal 64 binary64)
#s(literal 80 binary64)
#s(literal 81 binary64)
#s(literal 91 binary64)
#s(literal 100 binary64)
#s(literal 224 binary64)
#s(literal 343 binary64)
#s(literal 512 binary64)
#s(literal 703 binary64)
#s(literal 721 binary64)
#s(literal 728 binary64)
#s(literal 729 binary64)
#s(literal 784 binary64)
#s(literal 19683 binary64)
#s(literal 19684 binary64)
#s(literal 21952 binary64)
(+.f64 (cos.f64 re) (cos.f64 re))
(+.f64 #s(literal -28 binary64) (cos.f64 re))
(-.f64 (cos.f64 re) #s(literal -28 binary64))
(/.f64 (cos.f64 re) #s(literal -28 binary64))
(/.f64 (cos.f64 re) (+.f64 (cos.f64 re) (-.f64 (cos.f64 re) (cos.f64 re))))
(/.f64 (+.f64 (cos.f64 (+.f64 re re)) (cos.f64 (-.f64 re re))) #s(literal -28 binary64))
(/.f64 (-.f64 (cos.f64 re) (cos.f64 re)) (-.f64 (cos.f64 re) (cos.f64 re)))
(pow.f64 (cos.f64 re) #s(literal -28 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 -28 binary64) (expm1.f64 (cos.f64 re))))
(cbrt.f64 (cos.f64 re))
(cos.f64 re)
(expm1.f64 (log.f64 (cos.f64 re)))
(log1p.f64 (expm1.f64 (cos.f64 re)))
(exp.f64 (log.f64 (cos.f64 re)))
(exp.f64 (*.f64 (log.f64 (cos.f64 re)) #s(literal -28 binary64)))
(fma.f64 (cos.f64 re) #s(literal -28 binary64) (cos.f64 re))
(fma.f64 #s(literal -28 binary64) (cos.f64 re) (cos.f64 re))
Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 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)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 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 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/720 binary64))) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64) (fma.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(cos.f64 re)
#s(literal 1 binary64)
(cos.f64 re)
#s(literal 1 binary64)
(cos.f64 re)
#s(literal 1 binary64)
(cos.f64 re)
#s(literal 1 binary64)
(cos.f64 re)
#s(literal 1 binary64)
(cos.f64 re)
#s(literal 1 binary64)
(cos.f64 re)
#s(literal 1 binary64)
(cos.f64 re)
#s(literal 1 binary64)
#s(literal 4 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 4 binary64) im)
#s(literal 1 binary64)
(+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))
#s(literal 1 binary64)
(+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))
(+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64)))))))
(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 4 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 2 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64)))))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im))))
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im))))
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im))))
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (exp.f64 (*.f64 #s(literal -1 binary64) im))))
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
#s(literal 1 binary64)
(+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))) (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) #s(literal 3 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 re #s(literal 2 binary64))) (+.f64 (exp.f64 im) #s(literal 3 binary64))))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (+.f64 (exp.f64 im) #s(literal 3 binary64)) (+.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/48 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64)))
(fma.f64 (+.f64 (exp.f64 im) #s(literal 3 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (exp.f64 im) #s(literal 1/48 binary64) #s(literal 1/16 binary64)) (pow.f64 re #s(literal 4 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 3 binary64) (exp.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 #s(literal 3 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/48 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))))))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) #s(literal 3 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (+.f64 (exp.f64 im) #s(literal 3 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (exp.f64 im) #s(literal 3 binary64))) (+.f64 #s(literal 1/16 binary64) (*.f64 (exp.f64 im) #s(literal 1/48 binary64))))))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (+.f64 (exp.f64 im) #s(literal 3 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/1440 binary64)) #s(literal 1/48 binary64))) (+.f64 #s(literal -3/4 binary64) (*.f64 (exp.f64 im) #s(literal -1/4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64)))
(fma.f64 (+.f64 (exp.f64 im) #s(literal 3 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) (*.f64 (+.f64 (exp.f64 im) #s(literal 3 binary64)) (*.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/1440 binary64) #s(literal 1/48 binary64)) (pow.f64 re #s(literal 4 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
#s(literal 1 binary64)
(*.f64 #s(literal 2 binary64) (cos.f64 re))
#s(literal 1 binary64)
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (cos.f64 re))) (*.f64 #s(literal 2 binary64) (cos.f64 re)))
#s(literal 1 binary64)
(+.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) (*.f64 im (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 im (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))))
#s(literal 1 binary64)
(+.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) (*.f64 im (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 im (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 im (cos.f64 re))) (*.f64 #s(literal 1/4 binary64) (cos.f64 re)))))))
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
#s(literal 1 binary64)
(+.f64 (cos.f64 re) (cos.f64 re))
#s(literal 1 binary64)
(+.f64 #s(literal -28 binary64) (cos.f64 re))
#s(literal 1 binary64)
(-.f64 (cos.f64 re) #s(literal -28 binary64))
#s(literal 1 binary64)
(/.f64 (cos.f64 re) #s(literal -28 binary64))
#s(literal 1 binary64)
(/.f64 (cos.f64 re) (+.f64 (cos.f64 re) (-.f64 (cos.f64 re) (cos.f64 re))))
#s(literal 1 binary64)
(/.f64 (+.f64 (cos.f64 (+.f64 re re)) (cos.f64 (-.f64 re re))) #s(literal -28 binary64))
(/.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) re)) (cos.f64 #s(literal 0 binary64))) #s(literal -28 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 re #s(literal 2 binary64)))) #s(literal -28 binary64))
(/.f64 (-.f64 (cos.f64 re) (cos.f64 re)) (-.f64 (cos.f64 re) (cos.f64 re)))
#s(literal 1 binary64)
(pow.f64 (cos.f64 re) #s(literal -28 binary64))
#s(literal 1 binary64)
(pow.f64 (cos.f64 re) #s(literal 1/3 binary64))
#s(literal 1 binary64)
(sqrt.f64 (cos.f64 re))
#s(literal 1 binary64)
(fabs.f64 (cos.f64 re))
#s(literal 1 binary64)
(log.f64 (exp.f64 (cos.f64 re)))
#s(literal 1 binary64)
(log.f64 (+.f64 #s(literal -28 binary64) (expm1.f64 (cos.f64 re))))
#s(literal 1 binary64)
(cbrt.f64 (cos.f64 re))
#s(literal 1 binary64)
(cos.f64 re)
#s(literal 1 binary64)
(expm1.f64 (log.f64 (cos.f64 re)))
#s(literal 1 binary64)
(log1p.f64 (expm1.f64 (cos.f64 re)))
#s(literal 1 binary64)
(exp.f64 (log.f64 (cos.f64 re)))
#s(literal 1 binary64)
(exp.f64 (*.f64 (log.f64 (cos.f64 re)) #s(literal -28 binary64)))
#s(literal 1 binary64)
(fma.f64 (cos.f64 re) #s(literal -28 binary64) (cos.f64 re))
#s(literal 1 binary64)
(fma.f64 #s(literal -28 binary64) (cos.f64 re) (cos.f64 re))
#s(literal 1 binary64)
#s(literal -28 binary64)
#s(literal 1 binary64)
#s(literal -26 binary64)
#s(literal 1 binary64)
#s(literal -18 binary64)
#s(literal -8 binary64)
#s(literal -7 binary64)
#s(literal -3 binary64)
#s(literal 1 binary64)
#s(literal -2 binary64)
#s(literal 1 binary64)
#s(literal -1 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 1/8 binary64)
#s(literal 1/7 binary64)
#s(literal 1/4 binary64)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal 1 binary64)
#s(literal 4 binary64)
#s(literal 1 binary64)
#s(literal 6 binary64)
#s(literal 1 binary64)
#s(literal 7 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 10 binary64)
#s(literal 11 binary64)
#s(literal 12 binary64)
#s(literal 13 binary64)
#s(literal 19 binary64)
#s(literal 26 binary64)
#s(literal 27 binary64)
#s(literal 1 binary64)
#s(literal 28 binary64)
#s(literal 1 binary64)
#s(literal 49 binary64)
#s(literal 64 binary64)
#s(literal 80 binary64)
#s(literal 81 binary64)
#s(literal 91 binary64)
#s(literal 100 binary64)
#s(literal 224 binary64)
#s(literal 343 binary64)
#s(literal 512 binary64)
#s(literal 703 binary64)
#s(literal 721 binary64)
#s(literal 728 binary64)
#s(literal 729 binary64)
#s(literal 784 binary64)
#s(literal 19683 binary64)
#s(literal 19684 binary64)
#s(literal 21952 binary64)
#s(literal -28 binary64)
#s(literal 1 binary64)
#s(literal -26 binary64)
#s(literal 1 binary64)
#s(literal -18 binary64)
#s(literal -8 binary64)
#s(literal -7 binary64)
#s(literal -3 binary64)
#s(literal 1 binary64)
#s(literal -2 binary64)
#s(literal 1 binary64)
#s(literal -1 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal 1/8 binary64)
#s(literal 1/7 binary64)
#s(literal 1/4 binary64)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal 1 binary64)
#s(literal 4 binary64)
#s(literal 1 binary64)
#s(literal 6 binary64)
#s(literal 1 binary64)
#s(literal 7 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 10 binary64)
#s(literal 11 binary64)
#s(literal 12 binary64)
#s(literal 13 binary64)
#s(literal 19 binary64)
#s(literal 26 binary64)
#s(literal 27 binary64)
#s(literal 1 binary64)
#s(literal 28 binary64)
#s(literal 1 binary64)
#s(literal 49 binary64)
#s(literal 64 binary64)
#s(literal 80 binary64)
#s(literal 81 binary64)
#s(literal 91 binary64)
#s(literal 100 binary64)
#s(literal 224 binary64)
#s(literal 343 binary64)
#s(literal 512 binary64)
#s(literal 703 binary64)
#s(literal 721 binary64)
#s(literal 728 binary64)
#s(literal 729 binary64)
#s(literal 784 binary64)
#s(literal 19683 binary64)
#s(literal 19684 binary64)
#s(literal 21952 binary64)
(+.f64 (cos.f64 re) (cos.f64 re))
#s(literal 1 binary64)
(+.f64 #s(literal -28 binary64) (cos.f64 re))
#s(literal 1 binary64)
(-.f64 (cos.f64 re) #s(literal -28 binary64))
#s(literal 1 binary64)
(/.f64 (cos.f64 re) #s(literal -28 binary64))
#s(literal 1 binary64)
(/.f64 (cos.f64 re) (+.f64 (cos.f64 re) (-.f64 (cos.f64 re) (cos.f64 re))))
#s(literal 1 binary64)
(/.f64 (+.f64 (cos.f64 (+.f64 re re)) (cos.f64 (-.f64 re re))) #s(literal -28 binary64))
(/.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) re)) (cos.f64 #s(literal 0 binary64))) #s(literal -28 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 re #s(literal 2 binary64)))) #s(literal -28 binary64))
(/.f64 (-.f64 (cos.f64 re) (cos.f64 re)) (-.f64 (cos.f64 re) (cos.f64 re)))
#s(literal 1 binary64)
(pow.f64 (cos.f64 re) #s(literal -28 binary64))
#s(literal 1 binary64)
(pow.f64 (cos.f64 re) #s(literal 1/3 binary64))
#s(literal 1 binary64)
(sqrt.f64 (cos.f64 re))
#s(literal 1 binary64)
(fabs.f64 (cos.f64 re))
#s(literal 1 binary64)
(log.f64 (exp.f64 (cos.f64 re)))
#s(literal 1 binary64)
(log.f64 (+.f64 #s(literal -28 binary64) (expm1.f64 (cos.f64 re))))
#s(literal 1 binary64)
(cbrt.f64 (cos.f64 re))
#s(literal 1 binary64)
(cos.f64 re)
#s(literal 1 binary64)
(expm1.f64 (log.f64 (cos.f64 re)))
#s(literal 1 binary64)
(log1p.f64 (expm1.f64 (cos.f64 re)))
#s(literal 1 binary64)
(exp.f64 (log.f64 (cos.f64 re)))
#s(literal 1 binary64)
(exp.f64 (*.f64 (log.f64 (cos.f64 re)) #s(literal -28 binary64)))
#s(literal 1 binary64)
(fma.f64 (cos.f64 re) #s(literal -28 binary64) (cos.f64 re))
#s(literal 1 binary64)
(fma.f64 #s(literal -28 binary64) (cos.f64 re) (cos.f64 re))
#s(literal 1 binary64)

eval33.0ms (0.4%)

Compiler

Compiled 3155 to 687 computations (78.2% saved)

prune56.0ms (0.7%)

Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New26615281
Fresh000
Picked123
Done000
Total26717284
Accuracy
100.0%
Counts
284 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.2%
(-.f64 (cos.f64 re) #s(literal -28 binary64))
35.2%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
3.1%
(+.f64 #s(literal -28 binary64) (cos.f64 re))
44.9%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
36.4%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
12.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) im))
59.4%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
8.1%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 21952 binary64))
49.9%
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
41.5%
(*.f64 #s(literal 1/2 binary64) (+.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)))
67.8%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
45.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
9.1%
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
7.7%
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
3.7%
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
51.1%
(cos.f64 re)
30.7%
#s(literal 1 binary64)
Compiler

Compiled 287 to 233 computations (18.8% saved)

simplify8.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff-6272
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
cost-diff0
(pow.f64 re #s(literal 2 binary64))
cost-diff0
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
cost-diff-6272
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
cost-diff0
(exp.f64 im)
cost-diff0
(+.f64 #s(literal 3 binary64) (exp.f64 im))
cost-diff128
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
cost-diff0
(cos.f64 re)
Rules
*-commutative
fma-define
1-exp
distribute-rgt-in
distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
023119
139115
248111
355111
Stop Event
saturated
Calls
Call 1
Inputs
(cos.f64 re)
re
#s(literal 1 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) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
#s(literal 1/2 binary64)
(+.f64 #s(literal 3 binary64) (exp.f64 im))
#s(literal 3 binary64)
(exp.f64 im)
im
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
#s(literal -1/2 binary64)
(pow.f64 re #s(literal 2 binary64))
re
#s(literal 2 binary64)
Outputs
(cos.f64 re)
re
#s(literal 1 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) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))
#s(literal 1/2 binary64)
(+.f64 #s(literal 3 binary64) (exp.f64 im))
#s(literal 3 binary64)
(exp.f64 im)
im
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
#s(literal -1/2 binary64)
(pow.f64 re #s(literal 2 binary64))
re
#s(literal 2 binary64)

localize66.0ms (0.8%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(pow.f64 re #s(literal 2 binary64))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
accuracy100.0%
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
accuracy100.0%
(exp.f64 im)
accuracy100.0%
(+.f64 #s(literal 3 binary64) (exp.f64 im))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
accuracy100.0%
(cos.f64 re)
Results
48.0ms256×0valid
Compiler

Compiled 46 to 17 computations (63% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-add: 7.0ms (29.6% of total)
ival-cos: 6.0ms (25.3% of total)
ival-mult: 5.0ms (21.1% of total)
ival-pow: 3.0ms (12.7% of total)
ival-exp: 2.0ms (8.4% of total)
const: 1.0ms (4.2% of total)
backward-pass: 0.0ms (0% of total)

series12.0ms (0.1%)

Counts
5 → 13
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))>
#<alt (pow.f64 re #s(literal 2 binary64))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))>
Outputs
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im))))))>
#<alt #s(literal 1 binary64)>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
Calls

12 calls:

TimeVariablePointExpression
7.0ms
im
@-inf
(* 1/2 (+ 3 (exp im)))
0.0ms
re
@0
(* -1/2 (pow re 2))
0.0ms
re
@inf
(* -1/2 (pow re 2))
0.0ms
im
@0
(* 1/2 (+ 3 (exp im)))
0.0ms
im
@inf
(* 1/2 (+ 3 (exp im)))

rewrite112.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
895×log1p-expm1-u
895×expm1-log1p-u
438×log-prod
309×fma-define
295×prod-diff
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02269
120665
2251161
Stop Event
node limit
Counts
5 → 118
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(pow.f64 re #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
Outputs
#s(literal 3/4 binary64)
(+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64))
(+.f64 (log.f64 (exp.f64 #s(literal 3/2 binary64))) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))) (cbrt.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 27/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3 binary64))) (+.f64 #s(literal 9/4 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) (*.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))))
(/.f64 (-.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (-.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 27 binary64))) (fma.f64 (exp.f64 im) (-.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 9 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (-.f64 #s(literal 3 binary64) (exp.f64 im)))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 27 binary64)) #s(literal 1/2 binary64)) (fma.f64 (exp.f64 im) (-.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 3 binary64) (exp.f64 im)))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))
(fma.f64 (exp.f64 im) #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 im)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (exp.f64 im)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))
(fma.f64 (sqrt.f64 (exp.f64 im)) (*.f64 (sqrt.f64 (exp.f64 im)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 3/2 binary64))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 3/2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (exp.f64 im)) #s(literal 2 binary64))) (cbrt.f64 (exp.f64 im)) #s(literal 3/2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (exp.f64 im))) (sqrt.f64 (exp.f64 im)) #s(literal 3/2 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (pow.f64 re #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(-.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 re (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (pow.f64 re #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 re (sqrt.f64 #s(literal -1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 re (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(fma.f64 (fma.f64 (pow.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 re #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 re #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 re re)
(*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 re #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 re) re))
(*.f64 (cbrt.f64 (pow.f64 re #s(literal 4 binary64))) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 re) re))
(*.f64 (*.f64 re (sqrt.f64 re)) (sqrt.f64 re))
(*.f64 (*.f64 re (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re))
(sqrt.f64 (pow.f64 re #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 re #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 re #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 re #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 re)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 re)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))) (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 re (sqrt.f64 #s(literal -1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 re (sqrt.f64 #s(literal -1/2 binary64)))))
(*.f64 (fma.f64 (pow.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64))) (/.f64 #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 (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))) (fma.f64 (pow.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1 binary64)))
(pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 re (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 re (*.f64 re #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 re #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 re (sqrt.f64 #s(literal -1/2 binary64))) (*.f64 re (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (cbrt.f64 (pow.f64 re #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) #s(literal 1 binary64))

simplify334.0ms (4%)

Algorithm
egg-herbie
Rules
538×fma-define
477×fma-neg
385×cancel-sign-sub-inv
357×distribute-lft-neg-in
328×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02863832
15663702
214353016
343193016
Stop Event
node limit
Counts
131 → 165
Calls
Call 1
Inputs
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im))))
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im))))))
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(literal 3/4 binary64)
(+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64))
(+.f64 (log.f64 (exp.f64 #s(literal 3/2 binary64))) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))) (cbrt.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 27/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3 binary64))) (+.f64 #s(literal 9/4 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) (*.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))))
(/.f64 (-.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (-.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 27 binary64))) (fma.f64 (exp.f64 im) (-.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 9 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (-.f64 #s(literal 3 binary64) (exp.f64 im)))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 27 binary64)) #s(literal 1/2 binary64)) (fma.f64 (exp.f64 im) (-.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 3 binary64) (exp.f64 im)))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))
(fma.f64 (exp.f64 im) #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 im)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (exp.f64 im)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))
(fma.f64 (sqrt.f64 (exp.f64 im)) (*.f64 (sqrt.f64 (exp.f64 im)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 3/2 binary64))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 3/2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (exp.f64 im)) #s(literal 2 binary64))) (cbrt.f64 (exp.f64 im)) #s(literal 3/2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (exp.f64 im))) (sqrt.f64 (exp.f64 im)) #s(literal 3/2 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (pow.f64 re #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(-.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 re (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (pow.f64 re #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 re (sqrt.f64 #s(literal -1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 re (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(fma.f64 (fma.f64 (pow.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 re #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 re #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 re re)
(*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 re #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 re) re))
(*.f64 (cbrt.f64 (pow.f64 re #s(literal 4 binary64))) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 re) re))
(*.f64 (*.f64 re (sqrt.f64 re)) (sqrt.f64 re))
(*.f64 (*.f64 re (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re))
(sqrt.f64 (pow.f64 re #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 re #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 re #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 re #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 re)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 re)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))) (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 re (sqrt.f64 #s(literal -1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 re (sqrt.f64 #s(literal -1/2 binary64)))))
(*.f64 (fma.f64 (pow.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64))) (/.f64 #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 (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))) (fma.f64 (pow.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1 binary64)))
(pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 re (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 re (*.f64 re #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 re #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 re (sqrt.f64 #s(literal -1/2 binary64))) (*.f64 re (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (cbrt.f64 (pow.f64 re #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) #s(literal 1 binary64))
Outputs
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
(fma.f64 #s(literal 1/2 binary64) im #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) im))))
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64)))))
(fma.f64 im (fma.f64 im #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) im))))))
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))))
(fma.f64 im (fma.f64 im (fma.f64 im #s(literal 1/12 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))
#s(literal 3/4 binary64)
(+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))
(+.f64 #s(literal 3/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))
(+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))
(+.f64 (log.f64 (exp.f64 #s(literal 3/2 binary64))) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))) (cbrt.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))
(/.f64 (+.f64 #s(literal 27/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3 binary64))) (+.f64 #s(literal 9/4 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) (*.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))))
(/.f64 (+.f64 #s(literal 27/8 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))) (+.f64 #s(literal 9/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (*.f64 #s(literal 3/4 binary64) (exp.f64 im)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 27/8 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal -3/2 binary64)) #s(literal 9/4 binary64)))
(/.f64 (fma.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 27/8 binary64)) (fma.f64 (exp.f64 im) (fma.f64 (exp.f64 im) #s(literal 1/4 binary64) #s(literal -3/4 binary64)) #s(literal 9/4 binary64)))
(/.f64 (fma.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 27/8 binary64)) (fma.f64 (exp.f64 im) (fma.f64 #s(literal 1/4 binary64) (exp.f64 im) #s(literal -3/4 binary64)) #s(literal 9/4 binary64)))
(/.f64 (-.f64 #s(literal 9/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (-.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(/.f64 (-.f64 #s(literal 9/4 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 im))))
(/.f64 (+.f64 #s(literal 9/4 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 im))))
(/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64)) #s(literal 9/4 binary64)) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))
(/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) im) #s(literal 9/4 binary64)) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 27 binary64))) (fma.f64 (exp.f64 im) (-.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) #s(literal 27/2 binary64)) (fma.f64 (exp.f64 im) (+.f64 (exp.f64 im) #s(literal -3 binary64)) #s(literal 9 binary64)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 27/2 binary64)) (fma.f64 (exp.f64 im) (+.f64 (exp.f64 im) #s(literal -3 binary64)) #s(literal 9 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 9 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (-.f64 #s(literal 3 binary64) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (-.f64 #s(literal 3 binary64) (exp.f64 im))))
(*.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 3 binary64) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) im)) (-.f64 #s(literal 3 binary64) (exp.f64 im))))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 27 binary64)) #s(literal 1/2 binary64)) (fma.f64 (exp.f64 im) (-.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) #s(literal 27/2 binary64)) (fma.f64 (exp.f64 im) (+.f64 (exp.f64 im) #s(literal -3 binary64)) #s(literal 9 binary64)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (exp.f64 im) #s(literal 3 binary64)) #s(literal 27/2 binary64)) (fma.f64 (exp.f64 im) (+.f64 (exp.f64 im) #s(literal -3 binary64)) #s(literal 9 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 3 binary64) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (-.f64 #s(literal 3 binary64) (exp.f64 im))))
(*.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 3 binary64) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) im)) (-.f64 #s(literal 3 binary64) (exp.f64 im))))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))) #s(literal 3 binary64))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64)) #s(literal 3 binary64)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))
(fma.f64 (exp.f64 im) #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 im)) #s(literal 3/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 im)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (exp.f64 im)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))
(fma.f64 (sqrt.f64 (exp.f64 im)) (*.f64 (sqrt.f64 (exp.f64 im)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im)))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 3/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 im))) #s(literal 3/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (exp.f64 im)) #s(literal 2 binary64))) (cbrt.f64 (exp.f64 im)) #s(literal 3/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (exp.f64 im))) (sqrt.f64 (exp.f64 im)) #s(literal 3/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 im) #s(literal 3/2 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
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(fma.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 re (sqrt.f64 #s(literal -1/2 binary64))) (*.f64 re (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (cbrt.f64 (pow.f64 re #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 re #s(literal 4 binary64)))) #s(literal 1 binary64))

eval33.0ms (0.4%)

Compiler

Compiled 2534 to 660 computations (74% saved)

prune49.0ms (0.6%)

Pruning

26 alts after pruning (21 fresh and 5 done)

PrunedKeptTotal
New24514259
Fresh3710
Picked235
Done022
Total25026276
Accuracy
100.0%
Counts
276 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.9%
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))))
27.3%
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64)))))
9.1%
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
35.2%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))
39.2%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 re #s(literal 4 binary64)))))
44.9%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
36.4%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
12.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) im))
59.4%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
49.9%
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
7.3%
(*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
41.5%
(*.f64 #s(literal 1/2 binary64) (+.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)))
67.8%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
45.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
6.3%
(*.f64 #s(literal 1/2 binary64) #s(literal 21952 binary64))
8.0%
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
7.7%
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
7.4%
(*.f64 #s(literal 1/2 binary64) #s(literal 1/8 binary64))
3.7%
(*.f64 #s(literal 1/2 binary64) #s(literal -1 binary64))
3.7%
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
3.1%
(*.f64 #s(literal 1/2 binary64) #s(literal -28 binary64))
8.6%
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
51.1%
(cos.f64 re)
8.4%
#s(literal 2 binary64)
30.7%
#s(literal 1 binary64)
9.1%
#s(literal 3/4 binary64)
Compiler

Compiled 398 to 330 computations (17.1% saved)

simplify11.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
cost-diff-6272
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) im))
cost-diff0
(+.f64 #s(literal 4 binary64) im)
cost-diff0
(cos.f64 re)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
cost-diff-6272
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))
cost-diff0
(*.f64 re re)
cost-diff0
(*.f64 #s(literal -1/2 binary64) (*.f64 re re))
cost-diff128
(*.f64 #s(literal 1/2 binary64) #s(literal 1/8 binary64))
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)))
Rules
26×fma-define
18×*-commutative
10×distribute-rgt-in
10×distribute-lft-in
associate-*r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
027180
150176
295176
3141172
4145172
Stop Event
saturated
Calls
Call 1
Inputs
(*.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)
#s(literal 3/4 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal 1/8 binary64))
#s(literal 1/2 binary64)
#s(literal 1/8 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (*.f64 re re))
#s(literal -1/2 binary64)
(*.f64 re re)
re
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) im))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
(+.f64 #s(literal 4 binary64) im)
#s(literal 4 binary64)
im
Outputs
(*.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)
#s(literal 3/4 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal 1/8 binary64))
#s(literal 1/16 binary64)
#s(literal 1/2 binary64)
#s(literal 1/8 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 re re) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (*.f64 re re))
#s(literal -1/2 binary64)
(*.f64 re re)
re
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) im))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 im #s(literal 4 binary64))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal 1/2 binary64) im #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
#s(literal 1/2 binary64)
(cos.f64 re)
re
(+.f64 #s(literal 4 binary64) im)
(+.f64 im #s(literal 4 binary64))
#s(literal 4 binary64)
im

localize149.0ms (1.8%)

Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 #s(literal 4 binary64) im)
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
accuracy100.0%
(cos.f64 re)
accuracy99.9%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) im))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))
accuracy100.0%
(*.f64 re re)
accuracy100.0%
(*.f64 #s(literal -1/2 binary64) (*.f64 re re))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) #s(literal 1/8 binary64))
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)))
Results
47.0ms256×0valid
Compiler

Compiled 61 to 20 computations (67.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 10.0ms (42.9% of total)
ival-cos: 6.0ms (25.7% of total)
ival-fma: 4.0ms (17.1% of total)
ival-add: 3.0ms (12.9% of total)
const: 1.0ms (4.3% of total)
backward-pass: 0.0ms (0% of total)

series12.0ms (0.1%)

Counts
8 → 93
Calls
Call 1
Inputs
#<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 #s(literal 1/2 binary64) #s(literal 1/8 binary64))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 re re))>
#<alt (*.f64 re re)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))>
#<alt (+.f64 #s(literal 4 binary64) im)>
#<alt (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) im))>
Outputs
#<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) (pow.f64 re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))>
#<alt (pow.f64 re #s(literal 2 binary64))>
#<alt (pow.f64 re #s(literal 2 binary64))>
#<alt (pow.f64 re #s(literal 2 binary64))>
#<alt (pow.f64 re #s(literal 2 binary64))>
#<alt (pow.f64 re #s(literal 2 binary64))>
#<alt (pow.f64 re #s(literal 2 binary64))>
#<alt (pow.f64 re #s(literal 2 binary64))>
#<alt (pow.f64 re #s(literal 2 binary64))>
#<alt (pow.f64 re #s(literal 2 binary64))>
#<alt (pow.f64 re #s(literal 2 binary64))>
#<alt (pow.f64 re #s(literal 2 binary64))>
#<alt (pow.f64 re #s(literal 2 binary64))>
#<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 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt #s(literal 4 binary64)>
#<alt im>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt im>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 4 binary64) im))>
#<alt (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) im))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 4 binary64) im)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 4 binary64) im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 4 binary64) im)) (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) im))))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 4 binary64) im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 4 binary64) 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 #s(literal 4 binary64) im))) (*.f64 #s(literal 1/48 binary64) (+.f64 #s(literal 4 binary64) im)))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 4 binary64) im)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 4 binary64) im)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 4 binary64) im)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 4 binary64) im)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 4 binary64) im)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 4 binary64) im)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 4 binary64) im)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 #s(literal 4 binary64) im)))>
#<alt (*.f64 #s(literal 2 binary64) (cos.f64 re))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (cos.f64 re))) (*.f64 #s(literal 2 binary64) (cos.f64 re)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (cos.f64 re))) (*.f64 #s(literal 2 binary64) (cos.f64 re)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (cos.f64 re))) (*.f64 #s(literal 2 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 2 binary64) (/.f64 (cos.f64 re) im))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 #s(literal 2 binary64) (/.f64 (cos.f64 re) im))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 #s(literal 2 binary64) (/.f64 (cos.f64 re) im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) im)) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) im)) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) im)) (*.f64 #s(literal -1/2 binary64) (cos.f64 re)))))>
Calls

24 calls:

TimeVariablePointExpression
2.0ms
re
@-inf
(* (* 1/2 (cos re)) (+ 4 im))
1.0ms
re
@inf
(* (* 1/2 (cos re)) (+ 4 im))
1.0ms
re
@0
(* (* 1/2 (cos re)) (+ 4 im))
0.0ms
im
@-inf
(* (* 1/2 (cos re)) (+ 4 im))
0.0ms
im
@inf
(* 1/2 (+ (* im im) 2))

rewrite148.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
771×log1p-expm1-u
771×expm1-log1p-u
697×prod-diff
433×fma-define
160×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026124
1271120
23503117
Stop Event
node limit
Counts
8 → 209
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/8 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 re re))
(*.f64 re re)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))
(+.f64 #s(literal 4 binary64) im)
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) im))
Outputs
(+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 2 binary64))
(+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 im im #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 im im #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 im im #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (fma.f64 im im #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 im im #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 im im #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 im im #s(literal 2 binary64))) (sqrt.f64 (fma.f64 im im #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)) #s(literal -4 binary64)) (fma.f64 im im #s(literal -2 binary64)))
(pow.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 im im #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 im im #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 im im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 im im #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 im im #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 im im #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 im im #s(literal 2 binary64))))
(exp.f64 (log.f64 (fma.f64 im im #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 im im #s(literal 2 binary64))) #s(literal 1 binary64)))
#s(literal 1/16 binary64)
(-.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 re (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 re) (log.f64 #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 re) (log.f64 #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 re (sqrt.f64 #s(literal -1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 re (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(fma.f64 (fma.f64 (pow.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal -1 binary64))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 re #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 re #s(literal 2 binary64))
(pow.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 re #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 re #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 re #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 re #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 re)))
(exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 re)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))) (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 re (sqrt.f64 #s(literal -1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 re (sqrt.f64 #s(literal -1/2 binary64)))))
(*.f64 (fma.f64 (pow.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64))) (/.f64 #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 (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))) (fma.f64 (pow.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1 binary64)))
(pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 re (sqrt.f64 #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 re (*.f64 #s(literal -1/2 binary64) re) #s(literal 1 binary64))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 re #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 re (sqrt.f64 #s(literal -1/2 binary64))) (*.f64 re (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (cbrt.f64 (pow.f64 re #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) re) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) re) (sqrt.f64 re)) (sqrt.f64 re) #s(literal 1 binary64))
(-.f64 (exp.f64 (log1p.f64 (+.f64 im #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) im)) (/.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) im)))
(*.f64 #s(literal 1 binary64) (+.f64 im #s(literal 4 binary64)))
(*.f64 (+.f64 im #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 im #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (+.f64 im #s(literal 4 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 im #s(literal 4 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 im #s(literal 4 binary64))))
(*.f64 (sqrt.f64 (+.f64 im #s(literal 4 binary64))) (sqrt.f64 (+.f64 im #s(literal 4 binary64))))
(*.f64 (+.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 im (-.f64 im #s(literal 4 binary64)) #s(literal 16 binary64))))
(*.f64 (-.f64 #s(literal 16 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) im)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 im (-.f64 im #s(literal 4 binary64)) #s(literal 16 binary64)) (+.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 64 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) im) (-.f64 #s(literal 16 binary64) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 64 binary64)) (fma.f64 im (-.f64 im #s(literal 4 binary64)) #s(literal 16 binary64)))
(/.f64 (+.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 64 binary64)) (fma.f64 im im (-.f64 #s(literal 16 binary64) (*.f64 im #s(literal 4 binary64)))))
(/.f64 (-.f64 #s(literal 16 binary64) (pow.f64 im #s(literal 2 binary64))) (-.f64 #s(literal 4 binary64) im))
(/.f64 (neg.f64 (+.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 64 binary64))) (neg.f64 (fma.f64 im (-.f64 im #s(literal 4 binary64)) #s(literal 16 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 16 binary64) (pow.f64 im #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 4 binary64) im)))
(/.f64 (fma.f64 im im #s(literal -16 binary64)) (-.f64 im #s(literal 4 binary64)))
(pow.f64 (+.f64 im #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 im #s(literal 4 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 im #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 im #s(literal 4 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 im #s(literal 4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 im #s(literal 4 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 im #s(literal 4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 im #s(literal 4 binary64))))
(log1p.f64 (expm1.f64 (+.f64 im #s(literal 4 binary64))))
(exp.f64 (log.f64 (+.f64 im #s(literal 4 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 im #s(literal 4 binary64))) #s(literal 1 binary64)))
(fma.f64 im #s(literal 1 binary64) #s(literal 4 binary64))
(fma.f64 #s(literal 1 binary64) im #s(literal 4 binary64))
(fma.f64 (cbrt.f64 im) (cbrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 4 binary64))
(fma.f64 (cbrt.f64 (pow.f64 im #s(literal 2 binary64))) (cbrt.f64 im) #s(literal 4 binary64))
(fma.f64 (sqrt.f64 im) (sqrt.f64 im) #s(literal 4 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im)) (*.f64 #s(literal 2 binary64) (cos.f64 re)))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 im #s(literal 4 binary64)) (cos.f64 re))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) (*.f64 #s(literal 2 binary64) (cos.f64 re)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im))) (*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) (*.f64 #s(literal 2 binary64) (cos.f64 re))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im)))) (-.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 64 binary64))) (fma.f64 im (-.f64 im #s(literal 4 binary64)) #s(literal 16 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 #s(literal 16 binary64) (pow.f64 im #s(literal 2 binary64)))) (-.f64 #s(literal 4 binary64) im))
(/.f64 (*.f64 (+.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 64 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (fma.f64 im (-.f64 im #s(literal 4 binary64)) #s(literal 16 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 16 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (-.f64 #s(literal 4 binary64) im))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 im #s(literal 4 binary64)) (cos.f64 re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 im #s(literal 4 binary64)) (cos.f64 re)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 im #s(literal 4 binary64)) (cos.f64 re))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 im #s(literal 4 binary64)) (cos.f64 re)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 im #s(literal 4 binary64)) (cos.f64 re))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 im #s(literal 4 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 (+.f64 im #s(literal 4 binary64)) (cos.f64 re))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 im #s(literal 4 binary64)) (cos.f64 re))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 im #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (+.f64 im #s(literal 4 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 im #s(literal 4 binary64)) (cos.f64 re)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 im #s(literal 4 binary64)) (cos.f64 re)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 im #s(literal 4 binary64)) (cos.f64 re)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 im #s(literal 4 binary64)) (cos.f64 re)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im) (*.f64 #s(literal 2 binary64) (cos.f64 re)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) #s(literal 4 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im)))
(fma.f64 im (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 #s(literal 2 binary64) (cos.f64 re)))
(fma.f64 #s(literal 2 binary64) (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im)) (*.f64 #s(literal 2 binary64) (cos.f64 re)))
(fma.f64 #s(literal 4 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im)))
(fma.f64 (cos.f64 re) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im)))
(fma.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) im) (*.f64 #s(literal 2 binary64) (cos.f64 re)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) im (*.f64 #s(literal 2 binary64) (cos.f64 re)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 4 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 4 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) im) (*.f64 #s(literal 2 binary64) (cos.f64 re)))
(fma.f64 (cbrt.f64 (pow.f64 im #s(literal 2 binary64))) (*.f64 (cbrt.f64 im) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 #s(literal 2 binary64) (cos.f64 re)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 4 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) im) (*.f64 #s(literal 2 binary64) (cos.f64 re)))
(fma.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 im) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 #s(literal 2 binary64) (cos.f64 re)))
(fma.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im)))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im))) (*.f64 #s(literal 2 binary64) (cos.f64 re)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im))) (*.f64 #s(literal 2 binary64) (cos.f64 re)))
(fma.f64 (*.f64 (sqrt.f64 im) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))) (*.f64 (sqrt.f64 im) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))) (*.f64 #s(literal 2 binary64) (cos.f64 re)))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (sqrt.f64 im)) (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (sqrt.f64 im)) (*.f64 #s(literal 2 binary64) (cos.f64 re)))
(fma.f64 (*.f64 im (cos.f64 re)) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cos.f64 re)))
(fma.f64 (*.f64 #s(literal 4 binary64) (cos.f64 re)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im)))
(fma.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im)))
(fma.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im)))
(fma.f64 (*.f64 im #s(literal 1/2 binary64)) (cos.f64 re) (*.f64 #s(literal 2 binary64) (cos.f64 re)))
(fma.f64 (*.f64 im (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 #s(literal 2 binary64) (cos.f64 re)))
(fma.f64 (*.f64 im (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 #s(literal 2 binary64) (cos.f64 re)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (cbrt.f64 (pow.f64 im #s(literal 2 binary64)))) (cbrt.f64 im) (*.f64 #s(literal 2 binary64) (cos.f64 re)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (sqrt.f64 im)) (sqrt.f64 im) (*.f64 #s(literal 2 binary64) (cos.f64 re)))

simplify130.0ms (1.5%)

Algorithm
egg-herbie
Rules
487×distribute-lft-in
480×distribute-rgt-in
326×times-frac
298×associate-*r*
245×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04827597
110887392
233106808
Stop Event
node limit
Counts
302 → 282
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 #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 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 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 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 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 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 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (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))
(*.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))))))
(*.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))))))
(*.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))))))
(pow.f64 im #s(literal 2 binary64))
(*.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))))))
(*.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))))))
(*.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))))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(pow.f64 re #s(literal 2 binary64))
(pow.f64 re #s(literal 2 binary64))
(pow.f64 re #s(literal 2 binary64))
(pow.f64 re #s(literal 2 binary64))
(pow.f64 re #s(literal 2 binary64))
(pow.f64 re #s(literal 2 binary64))
(pow.f64 re #s(literal 2 binary64))
(pow.f64 re #s(literal 2 binary64))
(pow.f64 re #s(literal 2 binary64))
(pow.f64 re #s(literal 2 binary64))
(pow.f64 re #s(literal 2 binary64))
(pow.f64 re #s(literal 2 binary64))
#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 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(literal 4 binary64)
im
(*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) im))))
(*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) im))))
im
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(fma.f64 (cbrt.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 re (sqrt.f64 #s(literal -1/2 binary64))) (*.f64 re (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) re) re #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (cbrt.f64 (pow.f64 re #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) re) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) re) (sqrt.f64 re)) (sqrt.f64 re) #s(literal 1 binary64))
(-.f64 (exp.f64 (log1p.f64 (+.f64 im #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) im)) (/.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) im)))
(*.f64 #s(literal 1 binary64) (+.f64 im #s(literal 4 binary64)))
(*.f64 (+.f64 im #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 im #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (+.f64 im #s(literal 4 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 im #s(literal 4 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 im #s(literal 4 binary64))))
(*.f64 (sqrt.f64 (+.f64 im #s(literal 4 binary64))) (sqrt.f64 (+.f64 im #s(literal 4 binary64))))
(*.f64 (+.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 im (-.f64 im #s(literal 4 binary64)) #s(literal 16 binary64))))
(*.f64 (-.f64 #s(literal 16 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) im)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 im (-.f64 im #s(literal 4 binary64)) #s(literal 16 binary64)) (+.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 64 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) im) (-.f64 #s(literal 16 binary64) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 64 binary64)) (fma.f64 im (-.f64 im #s(literal 4 binary64)) #s(literal 16 binary64)))
(/.f64 (+.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 64 binary64)) (fma.f64 im im (-.f64 #s(literal 16 binary64) (*.f64 im #s(literal 4 binary64)))))
(/.f64 (-.f64 #s(literal 16 binary64) (pow.f64 im #s(literal 2 binary64))) (-.f64 #s(literal 4 binary64) im))
(/.f64 (neg.f64 (+.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 64 binary64))) (neg.f64 (fma.f64 im (-.f64 im #s(literal 4 binary64)) #s(literal 16 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 16 binary64) (pow.f64 im #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 4 binary64) im)))
(/.f64 (fma.f64 im im #s(literal -16 binary64)) (-.f64 im #s(literal 4 binary64)))
(pow.f64 (+.f64 im #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 im #s(literal 4 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 im #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 im #s(literal 4 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 im #s(literal 4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 im #s(literal 4 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 im #s(literal 4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 im #s(literal 4 binary64))))
(log1p.f64 (expm1.f64 (+.f64 im #s(literal 4 binary64))))
(exp.f64 (log.f64 (+.f64 im #s(literal 4 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 im #s(literal 4 binary64))) #s(literal 1 binary64)))
(fma.f64 im #s(literal 1 binary64) #s(literal 4 binary64))
(fma.f64 #s(literal 1 binary64) im #s(literal 4 binary64))
(fma.f64 (cbrt.f64 im) (cbrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 4 binary64))
(fma.f64 (cbrt.f64 (pow.f64 im #s(literal 2 binary64))) (cbrt.f64 im) #s(literal 4 binary64))
(fma.f64 (sqrt.f64 im) (sqrt.f64 im) #s(literal 4 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im)) (*.f64 #s(literal 2 binary64) (cos.f64 re)))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 im #s(literal 4 binary64)) (cos.f64 re))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) (*.f64 #s(literal 2 binary64) (cos.f64 re)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im))) (*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) (*.f64 #s(literal 2 binary64) (cos.f64 re))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im)))) (-.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 64 binary64))) (fma.f64 im (-.f64 im #s(literal 4 binary64)) #s(literal 16 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 #s(literal 16 binary64) (pow.f64 im #s(literal 2 binary64)))) (-.f64 #s(literal 4 binary64) im))
(/.f64 (*.f64 (+.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 64 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (fma.f64 im (-.f64 im #s(literal 4 binary64)) #s(literal 16 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 16 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (-.f64 #s(literal 4 binary64) im))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 im #s(literal 4 binary64)) (cos.f64 re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 im #s(literal 4 binary64)) (cos.f64 re)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 im #s(literal 4 binary64)) (cos.f64 re))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 im #s(literal 4 binary64)) (cos.f64 re)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 im #s(literal 4 binary64)) (cos.f64 re))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 im #s(literal 4 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 (+.f64 im #s(literal 4 binary64)) (cos.f64 re))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 im #s(literal 4 binary64)) (cos.f64 re))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 im #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 3 binary64)) (pow.f64 (+.f64 im #s(literal 4 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 im #s(literal 4 binary64)) (cos.f64 re)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 im #s(literal 4 binary64)) (cos.f64 re)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 im #s(literal 4 binary64)) (cos.f64 re)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 im #s(literal 4 binary64)) (cos.f64 re)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im) (*.f64 #s(literal 2 binary64) (cos.f64 re)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) #s(literal 4 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im)))
(fma.f64 im (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 #s(literal 2 binary64) (cos.f64 re)))
(fma.f64 #s(literal 2 binary64) (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im)) (*.f64 #s(literal 2 binary64) (cos.f64 re)))
(fma.f64 #s(literal 4 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im)))
(fma.f64 (cos.f64 re) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im)))
(fma.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) im) (*.f64 #s(literal 2 binary64) (cos.f64 re)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) im (*.f64 #s(literal 2 binary64) (cos.f64 re)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 4 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 4 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) im) (*.f64 #s(literal 2 binary64) (cos.f64 re)))
(fma.f64 (cbrt.f64 (pow.f64 im #s(literal 2 binary64))) (*.f64 (cbrt.f64 im) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 #s(literal 2 binary64) (cos.f64 re)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 4 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) im) (*.f64 #s(literal 2 binary64) (cos.f64 re)))
(fma.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 im) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 #s(literal 2 binary64) (cos.f64 re)))
(fma.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re)))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im)))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im))) (*.f64 #s(literal 2 binary64) (cos.f64 re)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im))) (*.f64 #s(literal 2 binary64) (cos.f64 re)))
(fma.f64 (*.f64 (sqrt.f64 im) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))) (*.f64 (sqrt.f64 im) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))) (*.f64 #s(literal 2 binary64) (cos.f64 re)))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (sqrt.f64 im)) (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (sqrt.f64 im)) (*.f64 #s(literal 2 binary64) (cos.f64 re)))
(fma.f64 (*.f64 im (cos.f64 re)) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cos.f64 re)))
(fma.f64 (*.f64 #s(literal 4 binary64) (cos.f64 re)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im)))
(fma.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im)))
(fma.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im)))
(fma.f64 (*.f64 im #s(literal 1/2 binary64)) (cos.f64 re) (*.f64 #s(literal 2 binary64) (cos.f64 re)))
(fma.f64 (*.f64 im (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 #s(literal 2 binary64) (cos.f64 re)))
(fma.f64 (*.f64 im (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 #s(literal 2 binary64) (cos.f64 re)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (cbrt.f64 (pow.f64 im #s(literal 2 binary64)))) (cbrt.f64 im) (*.f64 #s(literal 2 binary64) (cos.f64 re)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (sqrt.f64 im)) (sqrt.f64 im) (*.f64 #s(literal 2 binary64) (cos.f64 re)))
Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 im im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(*.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))))))
(fma.f64 im im #s(literal 2 binary64))
(*.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))))))
(fma.f64 im im #s(literal 2 binary64))
(*.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))))))
(fma.f64 im im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(*.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))))))
(fma.f64 im im #s(literal 2 binary64))
(*.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))))))
(fma.f64 im im #s(literal 2 binary64))
(*.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))))))
(fma.f64 im im #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
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(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 im #s(literal 4 binary64))))
(fma.f64 (*.f64 (sqrt.f64 im) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))) (*.f64 (sqrt.f64 im) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))) (*.f64 #s(literal 2 binary64) (cos.f64 re)))
(*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im)) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 im #s(literal 4 binary64))))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (sqrt.f64 im)) (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (sqrt.f64 im)) (*.f64 #s(literal 2 binary64) (cos.f64 re)))
(*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im)) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 im #s(literal 4 binary64))))
(fma.f64 (*.f64 im (cos.f64 re)) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cos.f64 re)))
(*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im)) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 im #s(literal 4 binary64))))
(fma.f64 (*.f64 #s(literal 4 binary64) (cos.f64 re)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im)))
(*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im)) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 im #s(literal 4 binary64))))
(fma.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im)))
(*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im)) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 im #s(literal 4 binary64))))
(fma.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) im)))
(*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im)) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 im #s(literal 4 binary64))))
(fma.f64 (*.f64 im #s(literal 1/2 binary64)) (cos.f64 re) (*.f64 #s(literal 2 binary64) (cos.f64 re)))
(*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im)) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 im #s(literal 4 binary64))))
(fma.f64 (*.f64 im (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 #s(literal 2 binary64) (cos.f64 re)))
(*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im)) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 im #s(literal 4 binary64))))
(fma.f64 (*.f64 im (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re))) (*.f64 #s(literal 2 binary64) (cos.f64 re)))
(*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im)) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 im #s(literal 4 binary64))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (cbrt.f64 (pow.f64 im #s(literal 2 binary64)))) (cbrt.f64 im) (*.f64 #s(literal 2 binary64) (cos.f64 re)))
(fma.f64 (cbrt.f64 (pow.f64 im #s(literal 2 binary64))) (*.f64 (*.f64 (cbrt.f64 im) #s(literal 1/2 binary64)) (cos.f64 re)) (*.f64 #s(literal 2 binary64) (cos.f64 re)))
(fma.f64 (cbrt.f64 (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (cbrt.f64 im))) (*.f64 #s(literal 2 binary64) (cos.f64 re)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 (cbrt.f64 im) (cbrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 4 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (sqrt.f64 im)) (sqrt.f64 im) (*.f64 #s(literal 2 binary64) (cos.f64 re)))
(*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im)) (cos.f64 re))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 im #s(literal 4 binary64))))

eval76.0ms (0.9%)

Compiler

Compiled 4476 to 965 computations (78.4% saved)

prune260.0ms (3.1%)

Pruning

27 alts after pruning (19 fresh and 8 done)

PrunedKeptTotal
New3433346
Fresh01616
Picked235
Done055
Total34527372
Accuracy
100.0%
Counts
372 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.9%
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))))
27.3%
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64)))))
9.1%
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
35.2%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))
39.2%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 re #s(literal 4 binary64)))))
16.6%
(*.f64 (+.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/4 binary64))))
44.9%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
36.4%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
59.4%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
5.2%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) im)
49.9%
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
7.3%
(*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
41.5%
(*.f64 #s(literal 1/2 binary64) (+.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)))
67.8%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
45.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
6.3%
(*.f64 #s(literal 1/2 binary64) #s(literal 21952 binary64))
8.0%
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
7.7%
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
3.7%
(*.f64 #s(literal 1/2 binary64) #s(literal -1 binary64))
3.7%
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
3.1%
(*.f64 #s(literal 1/2 binary64) #s(literal -28 binary64))
8.6%
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
51.1%
(cos.f64 re)
8.4%
#s(literal 2 binary64)
30.7%
#s(literal 1 binary64)
9.1%
#s(literal 3/4 binary64)
7.4%
#s(literal 1/16 binary64)
Compiler

Compiled 452 to 282 computations (37.6% saved)

regimes153.0ms (1.8%)

Counts
36 → 1
Calls
Call 1
Inputs
#s(literal 1/16 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -28 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/8 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 21952 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64)))))
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))))
(cos.f64 re)
(+.f64 #s(literal -28 binary64) (cos.f64 re))
(-.f64 (cos.f64 re) #s(literal -28 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 21952 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) im)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) im))
(*.f64 (+.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
(*.f64 #s(literal 1/2 binary64) (+.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 #s(literal 4 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 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 re #s(literal 4 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Calls

6 calls:

68.0ms
(cos.f64 re)
24.0ms
im
10.0ms
re
10.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
10.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
100.0%1re
100.0%1im
100.0%1(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
100.0%1(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
100.0%1(cos.f64 re)
100.0%1(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
Compiler

Compiled 37 to 28 computations (24.3% saved)

regimes51.0ms (0.6%)

Counts
35 → 2
Calls
Call 1
Inputs
#s(literal 1/16 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -28 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/8 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 21952 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64)))))
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))))
(cos.f64 re)
(+.f64 #s(literal -28 binary64) (cos.f64 re))
(-.f64 (cos.f64 re) #s(literal -28 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 21952 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) im)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) im))
(*.f64 (+.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
(*.f64 #s(literal 1/2 binary64) (+.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 #s(literal 4 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 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 re #s(literal 4 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
Outputs
(cos.f64 re)
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
Calls

5 calls:

11.0ms
re
11.0ms
(cos.f64 re)
10.0ms
im
9.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
8.0ms
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
Results
AccuracySegmentsBranch
81.6%2re
99.5%2im
82.1%2(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
82.1%2(cos.f64 re)
99.5%2(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
Compiler

Compiled 24 to 18 computations (25% saved)

regimes148.0ms (1.8%)

Counts
34 → 3
Calls
Call 1
Inputs
#s(literal 1/16 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -28 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/8 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 21952 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64)))))
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))))
(cos.f64 re)
(+.f64 #s(literal -28 binary64) (cos.f64 re))
(-.f64 (cos.f64 re) #s(literal -28 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 21952 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) im)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) im))
(*.f64 (+.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
(*.f64 #s(literal 1/2 binary64) (+.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 #s(literal 4 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 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 re #s(literal 4 binary64)))))
Outputs
(cos.f64 re)
(*.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 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
Calls

2 calls:

138.0ms
im
8.0ms
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
Results
AccuracySegmentsBranch
96.5%3im
87.9%2(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes26.0ms (0.3%)

Counts
32 → 3
Calls
Call 1
Inputs
#s(literal 1/16 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -28 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/8 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 21952 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64)))))
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))))
(cos.f64 re)
(+.f64 #s(literal -28 binary64) (cos.f64 re))
(-.f64 (cos.f64 re) #s(literal -28 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 21952 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) im)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) im))
(*.f64 (+.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
(*.f64 #s(literal 1/2 binary64) (+.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 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/6 binary64))))))))
Outputs
(cos.f64 re)
(*.f64 #s(literal 1/2 binary64) (+.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 #s(literal 4 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:

9.0ms
im
Results
AccuracySegmentsBranch
96.4%3im
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts
31 → 3
Calls
Call 1
Inputs
#s(literal 1/16 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -28 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/8 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 21952 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64)))))
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))))
(cos.f64 re)
(+.f64 #s(literal -28 binary64) (cos.f64 re))
(-.f64 (cos.f64 re) #s(literal -28 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 21952 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) im)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) im))
(*.f64 (+.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
(*.f64 #s(literal 1/2 binary64) (+.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
(cos.f64 re)
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))
Calls

1 calls:

9.0ms
im
Results
AccuracySegmentsBranch
94.0%3im
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes18.0ms (0.2%)

Counts
29 → 2
Calls
Call 1
Inputs
#s(literal 1/16 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -28 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/8 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 21952 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64)))))
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))))
(cos.f64 re)
(+.f64 #s(literal -28 binary64) (cos.f64 re))
(-.f64 (cos.f64 re) #s(literal -28 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im im #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) #s(literal 21952 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) im)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) im))
(*.f64 (+.f64 im #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/4 binary64))))
Outputs
(cos.f64 re)
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im)))
Calls

1 calls:

16.0ms
im
Results
AccuracySegmentsBranch
87.4%2im
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes33.0ms (0.4%)

Counts
21 → 2
Calls
Call 1
Inputs
#s(literal 1/16 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -28 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/8 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 21952 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64)))))
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))))
(cos.f64 re)
(+.f64 #s(literal -28 binary64) (cos.f64 re))
(-.f64 (cos.f64 re) #s(literal -28 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))
Outputs
(cos.f64 re)
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))))
Calls

3 calls:

19.0ms
re
6.0ms
im
6.0ms
(cos.f64 re)
Results
AccuracySegmentsBranch
51.1%1re
51.1%1(cos.f64 re)
76.3%2im
Compiler

Compiled 10 to 7 computations (30% saved)

regimes6.0ms (0.1%)

Counts
16 → 2
Calls
Call 1
Inputs
#s(literal 1/16 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -28 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/8 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 21952 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64)))))
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))))
Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64)))))))
Calls

1 calls:

5.0ms
im
Results
AccuracySegmentsBranch
56.2%2im
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes27.0ms (0.3%)

Counts
15 → 3
Calls
Call 1
Inputs
#s(literal 1/16 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -28 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/8 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 21952 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64)))))
Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))
(+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64)))))
Calls

2 calls:

21.0ms
im
5.0ms
re
Results
AccuracySegmentsBranch
41.1%3re
51.6%3im
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts
14 → 2
Calls
Call 1
Inputs
#s(literal 1/16 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -28 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/8 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 21952 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))
Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 re re)))
Calls

2 calls:

5.0ms
im
5.0ms
re
Results
AccuracySegmentsBranch
35.2%1re
37.2%2im
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts
13 → 1
Calls
Call 1
Inputs
#s(literal 1/16 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -28 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/8 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 21952 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) im))
Outputs
#s(literal 1 binary64)
Calls

2 calls:

4.0ms
re
4.0ms
im
Results
AccuracySegmentsBranch
30.7%1re
30.7%1im
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 1/16 binary64)
#s(literal 3/4 binary64)
Outputs
#s(literal 3/4 binary64)
Calls

2 calls:

2.0ms
im
2.0ms
re
Results
AccuracySegmentsBranch
9.1%1re
9.1%1im
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes10.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 1/16 binary64)
Outputs
#s(literal 1/16 binary64)
Calls

2 calls:

9.0ms
im
1.0ms
re
Results
AccuracySegmentsBranch
7.4%1re
7.4%1im
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.0000108389040454
708462201817192800.0
Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch47.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
1.8273753279239328e+93
1.612843248247357e+102
21.0ms
1.5059643443322787e-15
1.6752127959349827e-5
Results
31.0ms304×0valid
Compiler

Compiled 466 to 369 computations (20.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-cos: 7.0ms (35.2% of total)
ival-mult: 5.0ms (25.1% of total)
ival-exp: 4.0ms (20.1% of total)
ival-add: 2.0ms (10% of total)
ival-neg: 1.0ms (5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch182.0ms (2.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
156.0ms
1.8273753279239328e+93
1.612843248247357e+102
23.0ms
1.5059643443322787e-15
1.6752127959349827e-5
Results
28.0ms304×0valid
Compiler

Compiled 656 to 483 computations (26.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-cos: 7.0ms (35.8% of total)
ival-mult: 5.0ms (25.5% of total)
ival-exp: 4.0ms (20.4% of total)
ival-add: 2.0ms (10.2% of total)
ival-neg: 1.0ms (5.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch70.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
9.318587273886948e+146
3.5564567469055847e+155
47.0ms
0.0032922475993199946
41.10187310303069
Results
27.0ms272×0valid
Compiler

Compiled 364 to 299 computations (17.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-exp: 6.0ms (31.9% of total)
ival-cos: 6.0ms (31.9% of total)
ival-mult: 4.0ms (21.3% of total)
ival-add: 1.0ms (5.3% of total)
ival-neg: 1.0ms (5.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch81.0ms (1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
80.0ms
0.0032922475993199946
41.10187310303069
Results
75.0ms128×0valid
Compiler

Compiled 130 to 110 computations (15.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
ival-cos: 66.0ms (92.1% of total)
ival-exp: 2.0ms (2.8% of total)
ival-mult: 2.0ms (2.8% of total)
ival-add: 1.0ms (1.4% of total)
ival-neg: 1.0ms (1.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch17.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
1.4349712328600468e+59
1.733918792745554e+61
Results
10.0ms112×0valid
Compiler

Compiled 165 to 133 computations (19.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-cos: 3.0ms (42.2% of total)
ival-mult: 2.0ms (28.1% of total)
ival-exp: 1.0ms (14.1% of total)
ival-add: 1.0ms (14.1% of total)
ival-neg: 1.0ms (14.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch20.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
0.0032922475993199946
41.10187310303069
Results
14.0ms128×0valid
Compiler

Compiled 178 to 150 computations (15.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-cos: 4.0ms (40.9% of total)
ival-exp: 2.0ms (20.4% of total)
ival-mult: 2.0ms (20.4% of total)
ival-add: 1.0ms (10.2% of total)
ival-neg: 1.0ms (10.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch94.0ms (1.1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
76.0ms
1.4416067251001365e+135
9.473488512413627e+137
15.0ms
101605295095.63193
6832828099987.166
Results
22.0ms240×0valid
Compiler

Compiled 292 to 242 computations (17.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-cos: 6.0ms (41% of total)
ival-mult: 4.0ms (27.4% of total)
ival-exp: 3.0ms (20.5% of total)
ival-add: 1.0ms (6.8% of total)
ival-neg: 1.0ms (6.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch17.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
101605295095.63193
6832828099987.166
Results
12.0ms112×0valid
Compiler

Compiled 116 to 98 computations (15.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-cos: 4.0ms (48.8% of total)
ival-mult: 2.0ms (24.4% of total)
ival-exp: 1.0ms (12.2% of total)
ival-add: 1.0ms (12.2% of total)
ival-neg: 1.0ms (12.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify15.0ms (0.2%)

Algorithm
egg-herbie
Rules
25×*-commutative
19×+-commutative
neg-mul-1
unsub-neg
sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0101797
1149797
2154797
3160797
4167797
5176797
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(if (<=.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 4 binary64)) (cos.f64 re) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(if (<=.f64 im #s(literal 1770887431076117/147573952589676412928 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 1599999999999999963279221224392538605514948351878640009807993559571189523489263858085218071170418475008 binary64)) (*.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 #s(literal 4 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 2434970217729661/147573952589676412928 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 1599999999999999963279221224392538605514948351878640009807993559571189523489263858085218071170418475008 binary64)) (*.f64 #s(literal 1/2 binary64) (+.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 #s(literal 4 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 6530219459687219/2251799813685248 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))))
(if (<=.f64 im #s(literal 3152519739159347/1125899906842624 binary64)) (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(if (<=.f64 im #s(literal 1550000000000000028593636663411720323165097475782920841986048 binary64)) (cos.f64 re) (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))))
(if (<=.f64 im #s(literal 5/4 binary64)) #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))))
(if (<=.f64 im #s(literal 102000000000 binary64)) #s(literal 1 binary64) (if (<=.f64 im #s(literal 939999999999999964765471860827770619056261009100931010941106324255100258019981188370782113058929185403991490525734604684808378693822971904 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 re re))) (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64)))))))
(if (<=.f64 im #s(literal 102000000000 binary64)) #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 re re))))
#s(literal 1 binary64)
#s(literal 3/4 binary64)
#s(literal 1/16 binary64)
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(if (<=.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 4 binary64)) (cos.f64 re) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(if (<=.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 4 binary64)) (cos.f64 re) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 (exp.f64 im) #s(literal 3 binary64))))
(if (<=.f64 im #s(literal 1770887431076117/147573952589676412928 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 1599999999999999963279221224392538605514948351878640009807993559571189523489263858085218071170418475008 binary64)) (*.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 #s(literal 4 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 2434970217729661/147573952589676412928 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 1599999999999999963279221224392538605514948351878640009807993559571189523489263858085218071170418475008 binary64)) (*.f64 #s(literal 1/2 binary64) (+.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 #s(literal 4 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 2434970217729661/147573952589676412928 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 1599999999999999963279221224392538605514948351878640009807993559571189523489263858085218071170418475008 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal -1/6 binary64)))) #s(literal 1 binary64)))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 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 2434970217729661/147573952589676412928 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 1599999999999999963279221224392538605514948351878640009807993559571189523489263858085218071170418475008 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal -1/6 binary64)))) #s(literal -1 binary64)))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 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 6530219459687219/2251799813685248 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))))
(if (<=.f64 im #s(literal 6530219459687219/2251799813685248 binary64)) (cos.f64 re) (if (<=.f64 im #s(literal 18999999999999999064581089979963101249120767266604493066770021892695906750618596520567186646577434152905173284039181572611431631767743819258237216708624384 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (+.f64 #s(literal 4 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im)))))))
(if (<=.f64 im #s(literal 3152519739159347/1125899906842624 binary64)) (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 3 binary64) (exp.f64 im))))
(if (<=.f64 im #s(literal 3152519739159347/1125899906842624 binary64)) (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 im) #s(literal 3 binary64))))
(if (<=.f64 im #s(literal 1550000000000000028593636663411720323165097475782920841986048 binary64)) (cos.f64 re) (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))))
(if (<=.f64 im #s(literal 5/4 binary64)) #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal 1/4 binary64) (*.f64 im #s(literal 1/12 binary64))))))))
(if (<=.f64 im #s(literal 102000000000 binary64)) #s(literal 1 binary64) (if (<=.f64 im #s(literal 939999999999999964765471860827770619056261009100931010941106324255100258019981188370782113058929185403991490525734604684808378693822971904 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 re re))) (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 im #s(literal 1/4 binary64)))))))
(if (<=.f64 im #s(literal 102000000000 binary64)) #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 re re))))
#s(literal 1 binary64)
#s(literal 3/4 binary64)
#s(literal 1/16 binary64)

soundness1.0s (12%)

Rules
895×log1p-expm1-u
895×expm1-log1p-u
771×log1p-expm1-u
771×expm1-log1p-u
697×prod-diff
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026124
1271120
23503117
01596
117496
2257196
0180753
1428663
21210632
33898632
45868632
02269
120665
2251161
02863832
15663702
214353016
343193016
02168
128368
2476968
Stop Event
fuel
unsound
node limit
node limit
node limit
unsound
node limit
Compiler

Compiled 310 to 147 computations (52.6% saved)

preprocess79.0ms (0.9%)

Remove

(abs im)

(abs re)

Compiler

Compiled 650 to 326 computations (49.8% saved)

end0.0ms (0%)

Profiling

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