math.sin on complex, imaginary part

Time bar (total: 7.9s)

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 13 computations (7.1% saved)

sample2.0s (25.6%)

Results
1.2s4052×1valid
390.0ms4204×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-exp: 591.0ms (46.6% of total)
ival-cos: 241.0ms (19% of total)
ival-sub: 217.0ms (17.1% of total)
ival-mult: 131.0ms (10.3% of total)
adjust: 69.0ms (5.4% of total)
...in/eval/compile.rkt:70:19: 8.0ms (0.6% of total)
ival-true: 7.0ms (0.6% of total)
ival-assert: 5.0ms (0.4% of total)
Bogosity

preprocess232.0ms (2.9%)

Algorithm
egg-herbie
Rules
1398×fma-define
541×fmm-def
230×times-frac
216×distribute-lft-in
196×associate-*r*
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
036324
186308
2244308
3768304
41960294
53015294
63395294
73803294
84504294
95013294
105179294
115273294
125273294
135273294
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (neg.f64 re))) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (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 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))))
(neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (neg.f64 im))) (exp.f64 (neg.f64 im)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) re)) (exp.f64 re)))
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) 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 (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 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) 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 (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 (neg.f64 re))) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) 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 (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 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (neg.f64 im))) (exp.f64 (neg.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 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 im) (exp.f64 (neg.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))))
(neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (neg.f64 re))) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) 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))))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 im) (exp.f64 (neg.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))))
(neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (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 (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 (-.f64 #s(literal 0 binary64) re)) (exp.f64 re)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 im)) (-.f64 (exp.f64 (neg.f64 re)) (exp.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 im) (-.f64 (exp.f64 (neg.f64 re)) (exp.f64 re))))
(*.f64 (cos.f64 im) (fma.f64 (exp.f64 re) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 re))))
Symmetry

(abs re)

(negabs im)

explain249.0ms (3.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1290-0-(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
00-0-(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
00-0-(exp.f64 im)
00-0-#s(literal 0 binary64)
00-0-(cos.f64 re)
00-0-im
00-0-(-.f64 #s(literal 0 binary64) im)
00-0-re
00-0-(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
00-0-#s(literal 1/2 binary64)
00-0-(exp.f64 (-.f64 #s(literal 0 binary64) im))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))cancellation1290
Confusion
Predicted +Predicted -
+1290
-0127
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+12900
-00127
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0127
1129
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Results
72.0ms250×1valid
34.0ms262×0valid
Compiler

Compiled 108 to 48 computations (55.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-exp: 33.0ms (48.2% of total)
ival-cos: 12.0ms (17.5% of total)
ival-mult: 8.0ms (11.7% of total)
ival-sub: 8.0ms (11.7% of total)
adjust: 6.0ms (8.8% of total)
...in/eval/compile.rkt:70:19: 1.0ms (1.5% of total)
ival-true: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 35 to 16 computations (54.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
53.8%
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)))
Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify92.0ms (1.2%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 im)
cost-diff0
(exp.f64 (neg.f64 im))
cost-diff0
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
cost-diff0
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re))
Rules
703×fma-define
323×fmm-def
114×distribute-lft-in
96×associate-*r*
83×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
016152
128152
259152
3143150
4271150
5449150
6687150
71082150
81632150
92185150
102326150
112428150
122442150
132442150
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)))
#s(literal 1/2 binary64)
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
(cos.f64 re)
re
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.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 (cos.f64 re) (fma.f64 (exp.f64 im) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
#s(literal 1/2 binary64)
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
(cos.f64 re)
re

localize66.0ms (0.8%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(exp.f64 im)
accuracy100.0%
(cos.f64 re)
accuracy99.9%
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re))
accuracy53.8%
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
Results
40.0ms125×1valid
15.0ms131×0valid
Compiler

Compiled 40 to 12 computations (70% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-exp: 18.0ms (50.7% of total)
ival-cos: 5.0ms (14.1% of total)
ival-mult: 4.0ms (11.3% of total)
adjust: 3.0ms (8.5% of total)
ival-neg: 3.0ms (8.5% of total)
ival-sub: 2.0ms (5.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

series9.0ms (0.1%)

Counts
6 → 60
Calls
Call 1
Inputs
#<alt (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re))>
#<alt (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))>
#<alt (exp.f64 (neg.f64 im))>
#<alt (neg.f64 im)>
#<alt (cos.f64 re)>
#<alt (exp.f64 im)>
Outputs
#<alt (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/3 binary64) (cos.f64 re)) (*.f64 #s(literal -1/60 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/3 binary64) (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/60 binary64) (cos.f64 re)) (*.f64 #s(literal -1/2520 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))))))>
#<alt (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))>
#<alt (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))>
#<alt (-.f64 (+.f64 (exp.f64 (neg.f64 im)) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))) (exp.f64 im))>
#<alt (-.f64 (+.f64 (exp.f64 (neg.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))) (exp.f64 im))>
#<alt (-.f64 (+.f64 (exp.f64 (neg.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (*.f64 #s(literal 1/24 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))) (exp.f64 im))>
#<alt (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<alt (*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<alt (*.f64 #s(literal -2 binary64) im)>
#<alt (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))>
#<alt (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))>
#<alt (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))>
#<alt (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))>
#<alt (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))>
#<alt (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))>
#<alt (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 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 (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/2 binary64))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) im)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))>
Calls

21 calls:

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

rewrite286.0ms (3.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
014146
1174146
22641146
Stop Event
unsound
Counts
6 → 55
Calls
Call 1
Inputs
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
(cos.f64 re)
(exp.f64 im)
Outputs
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal 9 binary64)
#s(literal 27 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 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 -3 binary64))
(*.f64 (cos.f64 re) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal -3 binary64))
(*.f64 #s(literal -3 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 -3 binary64))
(sqrt.f64 (cos.f64 re))
(fabs.f64 (cos.f64 re))
(log.f64 (exp.f64 (cos.f64 re)))
(log.f64 (+.f64 #s(literal -3 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 -3 binary64)))
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal 9 binary64)
#s(literal 27 binary64)

simplify103.0ms (1.3%)

Algorithm
egg-herbie
Rules
850×unsub-neg
610×distribute-lft-in
584×distribute-rgt-in
551×fma-define
490×fmm-def
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01642251
13962078
211022015
336081955
471221955
Stop Event
node limit
Counts
115 → 111
Calls
Call 1
Inputs
(*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))
(*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/3 binary64) (cos.f64 re)) (*.f64 #s(literal -1/60 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))))
(*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/3 binary64) (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/60 binary64) (cos.f64 re)) (*.f64 #s(literal -1/2520 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))))))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(-.f64 (+.f64 (exp.f64 (neg.f64 im)) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))) (exp.f64 im))
(-.f64 (+.f64 (exp.f64 (neg.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))) (exp.f64 im))
(-.f64 (+.f64 (exp.f64 (neg.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (*.f64 #s(literal 1/24 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))) (exp.f64 im))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal -2 binary64) im)
(*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 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))
(*.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)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) im)
(+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))
(+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal 9 binary64)
#s(literal 27 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 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 -3 binary64))
(*.f64 (cos.f64 re) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal -3 binary64))
(*.f64 #s(literal -3 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 -3 binary64))
(sqrt.f64 (cos.f64 re))
(fabs.f64 (cos.f64 re))
(log.f64 (exp.f64 (cos.f64 re)))
(log.f64 (+.f64 #s(literal -3 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 -3 binary64)))
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal 9 binary64)
#s(literal 27 binary64)
Outputs
(*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))
(*.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) im))
(*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(*.f64 im (fma.f64 #s(literal -2 binary64) (cos.f64 re) (*.f64 #s(literal -1/3 binary64) (*.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 im (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))
(*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/3 binary64) (cos.f64 re)) (*.f64 #s(literal -1/60 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))))
(*.f64 im (fma.f64 #s(literal -2 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (cos.f64 re) (*.f64 (*.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) #s(literal -1/60 binary64))))))
(*.f64 im (fma.f64 #s(literal -2 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))))))
(fma.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) im) (*.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) (pow.f64 im #s(literal 3 binary64))))
(*.f64 im (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal -2 binary64))))
(*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/3 binary64) (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/60 binary64) (cos.f64 re)) (*.f64 #s(literal -1/2520 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))))))
(*.f64 im (fma.f64 #s(literal -2 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/60 binary64) (cos.f64 re) (*.f64 (*.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) #s(literal -1/2520 binary64))))))))
(*.f64 im (fma.f64 #s(literal -2 binary64) (cos.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (cos.f64 re) #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64))))))))
(*.f64 im (fma.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 (cos.f64 re) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 im (*.f64 (cos.f64 re) (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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(-.f64 (+.f64 (exp.f64 (neg.f64 im)) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))) (exp.f64 im))
(-.f64 (+.f64 (exp.f64 (neg.f64 im)) (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (pow.f64 re #s(literal 2 binary64))))) (exp.f64 im))
(-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (pow.f64 re #s(literal 2 binary64))) (exp.f64 (neg.f64 im))) (exp.f64 im))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(-.f64 (+.f64 (exp.f64 (neg.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))) (exp.f64 im))
(+.f64 (exp.f64 (neg.f64 im)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))) (exp.f64 im)))
(-.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (exp.f64 (neg.f64 im))) (exp.f64 im))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (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 (+.f64 (exp.f64 (neg.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (*.f64 #s(literal 1/24 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))) (exp.f64 im))
(-.f64 (+.f64 (exp.f64 (neg.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (pow.f64 re #s(literal 2 binary64))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/24 binary64))))))) (exp.f64 im))
(-.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64))))) (exp.f64 (neg.f64 im))) (exp.f64 im))
(+.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (pow.f64 re #s(literal 4 binary64)))))
(-.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (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)))) (exp.f64 (neg.f64 im))) (exp.f64 im))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal -2 binary64) im)
(*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal -2 binary64)))
(*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)))
(*.f64 im (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 -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))
(+.f64 (neg.f64 im) #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 (fma.f64 #s(literal 1/2 binary64) im #s(literal -1 binary64))))
(fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.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))
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
#s(literal 1 binary64)
(+.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))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) im)
(+.f64 im #s(literal 1 binary64))
(+.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 #s(literal 1/2 binary64)))))
(fma.f64 im (fma.f64 im #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.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))
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal 9 binary64)
#s(literal 27 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) re))))
(fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) re)) #s(literal -2 binary64))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 re))) #s(literal -3 binary64))
(+.f64 (exp.f64 (log1p.f64 (cos.f64 re))) #s(literal 3 binary64))
(+.f64 (+.f64 (cos.f64 re) #s(literal 1 binary64)) #s(literal 3 binary64))
(+.f64 (cos.f64 re) #s(literal 4 binary64))
(*.f64 (cos.f64 re) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) (cos.f64 re))
(*.f64 (cos.f64 re) #s(literal -3 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 re re)) (cos.f64 (-.f64 re re))) #s(literal -2 binary64))
(/.f64 (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) re)) (cos.f64 #s(literal 0 binary64))) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 re #s(literal 2 binary64)))) #s(literal -2 binary64))
(pow.f64 (cos.f64 re) #s(literal -2 binary64))
(pow.f64 (cos.f64 re) #s(literal -3 binary64))
(sqrt.f64 (cos.f64 re))
(fabs.f64 (cos.f64 re))
(log.f64 (exp.f64 (cos.f64 re)))
(cos.f64 re)
(log.f64 (+.f64 #s(literal -3 binary64) (expm1.f64 (cos.f64 re))))
(log1p.f64 (+.f64 (exp.f64 (cos.f64 re)) #s(literal -5 binary64)))
(cbrt.f64 (cos.f64 re))
(expm1.f64 (log1p.f64 (cos.f64 re)))
(cos.f64 re)
(log1p.f64 (expm1.f64 (cos.f64 re)))
(cos.f64 re)
(exp.f64 (log.f64 (cos.f64 re)))
(cos.f64 re)
(exp.f64 (*.f64 (log.f64 (cos.f64 re)) #s(literal -3 binary64)))
(pow.f64 (cos.f64 re) #s(literal -3 binary64))
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal 9 binary64)
#s(literal 27 binary64)

eval14.0ms (0.2%)

Compiler

Compiled 1876 to 513 computations (72.7% saved)

prune37.0ms (0.5%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New10011111
Fresh000
Picked011
Done000
Total10012112
Accuracy
99.9%
Counts
112 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.7%
(*.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) im) (*.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) (pow.f64 im #s(literal 3 binary64)))))
42.6%
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
53.8%
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (log.f64 (exp.f64 (cos.f64 re)))))
53.8%
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)))
50.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (cos.f64 re)))
86.7%
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re)))
81.6%
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) (cos.f64 re)))
52.8%
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re)))
2.1%
(*.f64 #s(literal 1/2 binary64) #s(literal 8 binary64))
2.1%
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
3.4%
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
3.7%
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
Compiler

Compiled 267 to 210 computations (21.3% saved)

simplify61.0ms (0.8%)

Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 re)
cost-diff0
(exp.f64 im)
cost-diff0
(-.f64 #s(literal 27 binary64) (exp.f64 im))
cost-diff0
(*.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (cos.f64 re))
cost-diff0
(cos.f64 re)
cost-diff0
(*.f64 #s(literal -2 binary64) im)
cost-diff0
(*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re))
cost-diff192
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re)))
cost-diff128
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
cost-diff128
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
cost-diff0
(*.f64 #s(literal -2 binary64) im)
cost-diff0
(cos.f64 re)
cost-diff6528
(fma.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) im) (*.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) (pow.f64 im #s(literal 3 binary64))))
cost-diff12928
(*.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) im) (*.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) (pow.f64 im #s(literal 3 binary64)))))
Rules
633×associate-+r+
513×fma-define
499×distribute-lft-in
474×distribute-rgt-in
314×*-commutative
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
035478
160454
2142444
3458440
41378438
53038438
65516438
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) im) (*.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) (pow.f64 im #s(literal 3 binary64)))))
#s(literal 1/2 binary64)
(fma.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) im) (*.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) (pow.f64 im #s(literal 3 binary64))))
(cos.f64 re)
re
(*.f64 #s(literal -2 binary64) im)
#s(literal -2 binary64)
im
(*.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) (pow.f64 im #s(literal 3 binary64)))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))
(pow.f64 im #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal -1/60 binary64)
#s(literal -1/3 binary64)
(pow.f64 im #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
#s(literal 1/2 binary64)
#s(literal -2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re)))
#s(literal 1/2 binary64)
(*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re))
(*.f64 #s(literal -2 binary64) im)
#s(literal -2 binary64)
im
(cos.f64 re)
re
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (cos.f64 re)))
#s(literal 1/2 binary64)
(*.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (cos.f64 re))
(-.f64 #s(literal 27 binary64) (exp.f64 im))
#s(literal 27 binary64)
(exp.f64 im)
im
(cos.f64 re)
re
Outputs
(*.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) im) (*.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) (pow.f64 im #s(literal 3 binary64)))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) im) (*.f64 (cos.f64 re) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (fma.f64 #s(literal -2 binary64) im (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64)))))
(*.f64 (fma.f64 #s(literal -2 binary64) im (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64)))) im))
#s(literal 1/2 binary64)
(fma.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) im) (*.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) (pow.f64 im #s(literal 3 binary64))))
(fma.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) im) (*.f64 (cos.f64 re) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64)))))
(*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64)))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -2 binary64) im (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64)))))
(cos.f64 re)
re
(*.f64 #s(literal -2 binary64) im)
#s(literal -2 binary64)
im
(*.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) (pow.f64 im #s(literal 3 binary64)))
(*.f64 (cos.f64 re) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))
(pow.f64 im #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal -1/60 binary64)
#s(literal -1/3 binary64)
(pow.f64 im #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
#s(literal -1 binary64)
#s(literal 1/2 binary64)
#s(literal -2 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) im)))
(*.f64 (cos.f64 re) (*.f64 #s(literal -1 binary64) im))
(*.f64 (cos.f64 re) (neg.f64 im))
#s(literal 1/2 binary64)
(*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re))
(*.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) im))
(*.f64 #s(literal -2 binary64) im)
#s(literal -2 binary64)
im
(cos.f64 re)
re
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(*.f64 (cos.f64 re) (fma.f64 #s(literal -1/2 binary64) (exp.f64 im) #s(literal 27/2 binary64)))
(*.f64 (cos.f64 re) (fma.f64 (exp.f64 im) #s(literal -1/2 binary64) #s(literal 27/2 binary64)))
#s(literal 1/2 binary64)
(*.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (cos.f64 re))
(*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
(-.f64 #s(literal 27 binary64) (exp.f64 im))
#s(literal 27 binary64)
(exp.f64 im)
im
(cos.f64 re)
re

localize198.0ms (2.5%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (cos.f64 re)))
accuracy100.0%
(exp.f64 im)
accuracy100.0%
(cos.f64 re)
accuracy99.9%
(*.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (cos.f64 re))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re)))
accuracy100.0%
(*.f64 #s(literal -2 binary64) im)
accuracy100.0%
(cos.f64 re)
accuracy99.9%
(*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
accuracy99.9%
(*.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) (pow.f64 im #s(literal 3 binary64)))
accuracy99.9%
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))
accuracy99.8%
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)))
accuracy99.7%
(*.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) im) (*.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) (pow.f64 im #s(literal 3 binary64)))))
Results
81.0ms256×0valid
Compiler

Compiled 149 to 28 computations (81.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-mult: 14.0ms (30.2% of total)
...in/eval/compile.rkt:71:19: 9.0ms (19.4% of total)
ival-pow: 8.0ms (17.3% of total)
ival-cos: 6.0ms (13% of total)
ival-fma: 5.0ms (10.8% of total)
ival-exp: 2.0ms (4.3% of total)
ival-sub: 1.0ms (2.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

series37.0ms (0.5%)

Counts
13 → 208
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) im) (*.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) (pow.f64 im #s(literal 3 binary64)))))>
#<alt (fma.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) im) (*.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) (pow.f64 im #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -2 binary64) im)>
#<alt (*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))>
#<alt (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re)))>
#<alt (*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re))>
#<alt (*.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (cos.f64 re))>
#<alt (-.f64 #s(literal 27 binary64) (exp.f64 im))>
#<alt (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)))>
#<alt (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))>
#<alt (*.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) (pow.f64 im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (cos.f64 re)))>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 im (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/12 binary64) im) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 im (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 im (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))) (*.f64 #s(literal 1/360 binary64) im)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1/12 binary64) im) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 re)) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 re)) (*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 re)) (*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))))>
#<alt (*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re)))>
#<alt (*.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/120 binary64) (cos.f64 re))))>
#<alt (*.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/120 binary64) (cos.f64 re)))))>
#<alt (*.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/120 binary64) (cos.f64 re)))))>
#<alt (*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (cos.f64 re)) (*.f64 #s(literal 1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64)))))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) im) (+.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 im (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) im) (+.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/12 binary64) im) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))))))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) im) (+.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/12 binary64) im) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))) (*.f64 #s(literal 1/360 binary64) im)))))))))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/3 binary64) (cos.f64 re)) (*.f64 #s(literal -1/60 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/3 binary64) (cos.f64 re)) (*.f64 #s(literal -1/60 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))))>
#<alt (*.f64 #s(literal -1/60 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re)))>
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#<alt (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))>
#<alt (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))>
#<alt (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))>
#<alt (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (cos.f64 re)))>
#<alt (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/3 binary64) (cos.f64 re)) (*.f64 #s(literal -1/60 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))>
#<alt (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/3 binary64) (cos.f64 re)) (*.f64 #s(literal -1/60 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))>
#<alt (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/3 binary64) (cos.f64 re)) (*.f64 #s(literal -1/60 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))>
#<alt (*.f64 #s(literal -1/60 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re)))>
#<alt (*.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/60 binary64) (cos.f64 re))))>
#<alt (*.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/60 binary64) (cos.f64 re))))>
#<alt (*.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/60 binary64) (cos.f64 re))))>
#<alt (*.f64 #s(literal -1/60 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (*.f64 #s(literal 1/60 binary64) (cos.f64 re)) (*.f64 #s(literal 1/3 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (*.f64 #s(literal 1/60 binary64) (cos.f64 re)) (*.f64 #s(literal 1/3 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (*.f64 #s(literal 1/60 binary64) (cos.f64 re)) (*.f64 #s(literal 1/3 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 13 binary64) (cos.f64 re))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im (cos.f64 re))) (*.f64 #s(literal 13 binary64) (cos.f64 re)))>
#<alt (+.f64 (*.f64 #s(literal 13 binary64) (cos.f64 re)) (*.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/4 binary64) (*.f64 im (cos.f64 re))))))>
#<alt (+.f64 (*.f64 #s(literal 13 binary64) (cos.f64 re)) (*.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 re)) (*.f64 im (+.f64 (*.f64 #s(literal -1/4 binary64) (cos.f64 re)) (*.f64 #s(literal -1/12 binary64) (*.f64 im (cos.f64 re))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))>
#<alt (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 27 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))) (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 27 binary64) (exp.f64 im)))))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (-.f64 #s(literal 27 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 27 binary64) (exp.f64 im)))) (*.f64 #s(literal 1/48 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))>
Calls

57 calls:

TimeVariablePointExpression
3.0ms
re
@inf
(* 1/2 (+ (* (cos re) (* -2 im)) (* (* (cos re) (+ (* (pow im 2) -1/60) -1/3)) (pow im 3))))
3.0ms
im
@-inf
(* 1/2 (+ (* (cos re) (* -2 im)) (* (* (cos re) (+ (* (pow im 2) -1/60) -1/3)) (pow im 3))))
3.0ms
im
@-inf
(* (- 27 (exp im)) (cos re))
2.0ms
re
@0
(* 1/2 (+ (* (cos re) (* -2 im)) (* (* (cos re) (+ (* (pow im 2) -1/60) -1/3)) (pow im 3))))
2.0ms
re
@inf
(* (* (cos re) (+ (* (pow im 2) -1/60) -1/3)) (pow im 3))

rewrite193.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
985×log1p-expm1-u
787×prod-diff
305×expm1-log1p-u
208×associate-*r*
160×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035379
1385355
24635355
Stop Event
node limit
Counts
13 → 200
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) im) (*.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) (pow.f64 im #s(literal 3 binary64)))))
(fma.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) im) (*.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) (pow.f64 im #s(literal 3 binary64))))
(*.f64 #s(literal -2 binary64) im)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re)))
(*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re))
(*.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (cos.f64 re))
(-.f64 #s(literal 27 binary64) (exp.f64 im))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))
(*.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) (pow.f64 im #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (cos.f64 re)))
Outputs
(+.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -1 binary64) im)) (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (*.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64))))))
(+.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -1 binary64) im)) (*.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (*.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64)))) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64)))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64)))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64))))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64)))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64))))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64)))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64)))))) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64)))))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64)))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64))))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64))))))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64))))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64))))))) #s(literal 1 binary64)))
(+.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (*.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64)))) (*.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) im)))
(+.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) im)) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (*.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64))))))) #s(literal 1 binary64))
(*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64)))))
(*.f64 (*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64))))))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64)))))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64)))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64)))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64)))))))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64)))))) (sqrt.f64 (*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (*.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) im)) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) #s(literal 2 binary64))) (*.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) im)) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (*.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) im)) #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) #s(literal 2 binary64)))) (-.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) im)) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (*.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64))))))
(pow.f64 (*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (pow.f64 im #s(literal 3 binary64)))))) #s(literal 3 binary64))
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(pow.f64 (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (*.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (*.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 im (cbrt.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (*.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (*.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 3 binary64))) (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (*.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (*.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (*.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (*.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64))))))
(exp.f64 (log.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (*.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (*.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))) #s(literal 2 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 re)) (-.f64 #s(literal 27 binary64) (exp.f64 im))) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im)))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))) #s(literal 1 binary64)))

simplify244.0ms (3.1%)

Algorithm
egg-herbie
Rules
771×associate-*r*
654×fma-define
594×associate-*l*
331×fmm-def
298×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
070217701
1189716553
2752716549
Stop Event
node limit
Counts
408 → 438
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 im (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/12 binary64) im) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 im (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 im (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))) (*.f64 #s(literal 1/360 binary64) im)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1/12 binary64) im) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 re)) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 re)) (*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 re)) (*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))))
(*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re)))
(*.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/120 binary64) (cos.f64 re))))
(*.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/120 binary64) (cos.f64 re)))))
(*.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/120 binary64) (cos.f64 re)))))
(*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (cos.f64 re)) (*.f64 #s(literal 1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (cos.f64 re)) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 4 binary64)))))))
(+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))
(+.f64 (*.f64 #s(literal -2 binary64) im) (+.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 im (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))))))
(+.f64 (*.f64 #s(literal -2 binary64) im) (+.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/12 binary64) im) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))))))))
(+.f64 (*.f64 #s(literal -2 binary64) im) (+.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/12 binary64) im) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))) (*.f64 #s(literal 1/360 binary64) im)))))))))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))
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(cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (*.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (*.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64))))))
(exp.f64 (log.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (*.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (*.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))) #s(literal 2 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 re)) (-.f64 #s(literal 27 binary64) (exp.f64 im))) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im)))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2 binary64) im (*.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)) (*.f64 #s(literal -2 binary64) im)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 im (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 im (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64))) #s(literal -1/2 binary64)))) (fma.f64 #s(literal -2 binary64) im (*.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64))) #s(literal -1/2 binary64) im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)) (*.f64 #s(literal -2 binary64) im))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/12 binary64) im) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 im (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2 binary64) im (*.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) im (*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 3 binary64))) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64))))) (+.f64 im (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64))) #s(literal -1/2 binary64)))))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)) (*.f64 im #s(literal -1/12 binary64))) (fma.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64))) #s(literal -1/2 binary64) im))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)) (*.f64 #s(literal -2 binary64) im))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 im (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))) (*.f64 #s(literal 1/360 binary64) im)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1/12 binary64) im) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))))))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2 binary64) im (*.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (+.f64 im (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64))) #s(literal -1/2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64))) (*.f64 im #s(literal 1/360 binary64)))) (fma.f64 #s(literal -1/12 binary64) im (*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 3 binary64))) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64))))))))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64))) #s(literal -1/2 binary64) im) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/720 binary64)) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)) (*.f64 im #s(literal 1/360 binary64))) (fma.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)) (*.f64 im #s(literal -1/12 binary64)))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)) (*.f64 #s(literal -2 binary64) im))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)) (*.f64 (pow.f64 im #s(literal 3 binary64)) (cos.f64 re)) (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)) (*.f64 #s(literal -2 binary64) im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)) (*.f64 (pow.f64 im #s(literal 3 binary64)) (cos.f64 re)) (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)) (*.f64 #s(literal -2 binary64) im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)) (*.f64 (pow.f64 im #s(literal 3 binary64)) (cos.f64 re)) (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)) (*.f64 #s(literal -2 binary64) im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)) (*.f64 (pow.f64 im #s(literal 3 binary64)) (cos.f64 re)) (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)) (*.f64 #s(literal -2 binary64) im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)) (*.f64 (pow.f64 im #s(literal 3 binary64)) (cos.f64 re)) (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)) (*.f64 #s(literal -2 binary64) im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)) (*.f64 (pow.f64 im #s(literal 3 binary64)) (cos.f64 re)) (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)) (*.f64 #s(literal -2 binary64) im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)) (*.f64 (pow.f64 im #s(literal 3 binary64)) (cos.f64 re)) (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)) (*.f64 #s(literal -2 binary64) im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)) (*.f64 (pow.f64 im #s(literal 3 binary64)) (cos.f64 re)) (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)) (*.f64 #s(literal -2 binary64) im)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))
(*.f64 (cos.f64 re) (neg.f64 im))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 re)) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(*.f64 im (*.f64 (cos.f64 re) (+.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)))))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 re)) (*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))))
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(*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) (*.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im)))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 #s(literal 27 binary64) (exp.f64 im)))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im)))) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(sqrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 re)) (-.f64 #s(literal 27 binary64) (exp.f64 im))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im)))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im)))) #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 #s(literal 27 binary64) (exp.f64 im)))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im))))) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
(*.f64 (cos.f64 re) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))))

eval209.0ms (2.7%)

Compiler

Compiled 12504 to 2243 computations (82.1% saved)

prune152.0ms (1.9%)

Pruning

23 alts after pruning (21 fresh and 2 done)

PrunedKeptTotal
New58016596
Fresh156
Picked415
Done011
Total58523608
Accuracy
100.0%
Counts
608 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.5%
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -1 binary64) im))) #s(literal 2 binary64))
52.8%
(*.f64 (cos.f64 re) (neg.f64 im))
81.3%
(*.f64 im (*.f64 (cos.f64 re) (+.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)))))
51.7%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) im))) #s(literal 3 binary64)))
42.6%
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
40.2%
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
56.3%
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))
53.8%
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (log.f64 (exp.f64 (cos.f64 re)))))
53.8%
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)))
50.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (cos.f64 re)))
31.8%
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 26 binary64) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (cos.f64 re)))
25.5%
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 26 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))) (cos.f64 re)))
81.6%
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) (cos.f64 re)))
52.6%
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (log.f64 (exp.f64 (cos.f64 re)))))
52.7%
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (expm1.f64 (log1p.f64 (cos.f64 re)))))
36.1%
(*.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal -2 binary64) (pow.f64 re #s(literal 2 binary64)))))
2.1%
(*.f64 #s(literal 1/2 binary64) #s(literal 8 binary64))
3.4%
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
39.3%
(*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re)))
30.7%
(neg.f64 im)
50.1%
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64)))
2.1%
#s(literal 1/4 binary64)
3.7%
#s(literal -1 binary64)
Compiler

Compiled 474 to 387 computations (18.4% saved)

simplify187.0ms (2.4%)

Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff64
(*.f64 #s(literal -1 binary64) im)
cost-diff64
(*.f64 (cos.f64 re) (*.f64 #s(literal -1 binary64) im))
cost-diff64
(sqrt.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -1 binary64) im)))
cost-diff12928
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -1 binary64) im))) #s(literal 2 binary64))
cost-diff0
(cos.f64 re)
cost-diff0
(pow.f64 im #s(literal 5 binary64))
cost-diff0
(*.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re))
cost-diff0
(*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re)))
cost-diff0
(neg.f64 im)
cost-diff0
(cos.f64 re)
cost-diff0
(*.f64 (cos.f64 re) (neg.f64 im))
cost-diff0
(cos.f64 re)
cost-diff0
(pow.f64 im #s(literal 2 binary64))
cost-diff0
(*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))
cost-diff256
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) (cos.f64 re)))
Rules
858×fma-define
825×distribute-lft-neg-in
496×neg-mul-1
481×unsub-neg
368×sub-neg
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
030395
157395
2108395
3250391
4658387
51146387
61661387
73140387
84183387
94550387
105723387
117249387
127614387
137732387
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) (cos.f64 re)))
#s(literal 1/2 binary64)
(*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) (cos.f64 re))
(*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
im
(-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))
#s(literal -1/3 binary64)
(pow.f64 im #s(literal 2 binary64))
#s(literal 2 binary64)
(cos.f64 re)
re
#s(literal -1 binary64)
(*.f64 (cos.f64 re) (neg.f64 im))
(cos.f64 re)
re
(neg.f64 im)
im
(*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re)))
#s(literal -1/120 binary64)
(*.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re))
(pow.f64 im #s(literal 5 binary64))
im
#s(literal 5 binary64)
(cos.f64 re)
re
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -1 binary64) im))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -1 binary64) im)))
(*.f64 (cos.f64 re) (*.f64 #s(literal -1 binary64) im))
(cos.f64 re)
re
(*.f64 #s(literal -1 binary64) im)
#s(literal -1 binary64)
im
#s(literal 2 binary64)
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re))))
(*.f64 (cos.f64 re) (*.f64 (*.f64 #s(literal 1/2 binary64) im) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))
(*.f64 (cos.f64 re) (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) im)))
(*.f64 (cos.f64 re) (+.f64 (neg.f64 im) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64))))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im))
#s(literal 1/2 binary64)
(*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) (cos.f64 re))
(*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re)))
(*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 im (cos.f64 re)))
(*.f64 (fma.f64 im #s(literal -2 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64)))) (cos.f64 re))
(*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(fma.f64 im #s(literal -2 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64))))
im
(-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))
#s(literal -1/3 binary64)
(pow.f64 im #s(literal 2 binary64))
#s(literal 2 binary64)
(cos.f64 re)
re
#s(literal -1 binary64)
(*.f64 (cos.f64 re) (neg.f64 im))
(*.f64 im (neg.f64 (cos.f64 re)))
(cos.f64 re)
re
(neg.f64 im)
im
(*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re)))
(*.f64 #s(literal -1/120 binary64) (*.f64 (cos.f64 re) (pow.f64 im #s(literal 5 binary64))))
(*.f64 (cos.f64 re) (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64))))
#s(literal -1/120 binary64)
(*.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re))
(*.f64 (cos.f64 re) (pow.f64 im #s(literal 5 binary64)))
(pow.f64 im #s(literal 5 binary64))
im
#s(literal 5 binary64)
(cos.f64 re)
re
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -1 binary64) im))) #s(literal 2 binary64))
(*.f64 (cos.f64 re) (neg.f64 im))
(*.f64 im (neg.f64 (cos.f64 re)))
(sqrt.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -1 binary64) im)))
(sqrt.f64 (*.f64 (cos.f64 re) (neg.f64 im)))
(sqrt.f64 (*.f64 im (neg.f64 (cos.f64 re))))
(*.f64 (cos.f64 re) (*.f64 #s(literal -1 binary64) im))
(*.f64 (cos.f64 re) (neg.f64 im))
(*.f64 im (neg.f64 (cos.f64 re)))
(cos.f64 re)
re
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
#s(literal -1 binary64)
im
#s(literal 2 binary64)

localize111.0ms (1.4%)

Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(cos.f64 re)
accuracy100.0%
(sqrt.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -1 binary64) im)))
accuracy99.9%
(*.f64 (cos.f64 re) (*.f64 #s(literal -1 binary64) im))
accuracy99.8%
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -1 binary64) im))) #s(literal 2 binary64))
accuracy100.0%
(pow.f64 im #s(literal 5 binary64))
accuracy100.0%
(cos.f64 re)
accuracy100.0%
(*.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re))
accuracy99.7%
(*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re)))
accuracy100.0%
(neg.f64 im)
accuracy100.0%
(cos.f64 re)
accuracy99.9%
(*.f64 (cos.f64 re) (neg.f64 im))
accuracy100.0%
(cos.f64 re)
accuracy100.0%
(*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
accuracy100.0%
(*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) (cos.f64 re))
accuracy99.9%
(*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))
Results
54.0ms196×0invalid
16.0ms60×0valid
Compiler

Compiled 125 to 26 computations (79.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-mult: 14.0ms (34.7% of total)
ival-pow: 8.0ms (19.8% of total)
...in/eval/compile.rkt:71:19: 7.0ms (17.3% of total)
ival-cos: 5.0ms (12.4% of total)
ival-sub: 2.0ms (5% of total)
ival-sqrt: 2.0ms (5% of total)
ival-neg: 1.0ms (2.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

series36.0ms (0.5%)

Counts
13 → 161
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) (cos.f64 re)))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (*.f64 (cos.f64 re) (neg.f64 im))>
#<alt (*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re)))>
#<alt (*.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re))>
#<alt (pow.f64 im #s(literal 5 binary64))>
#<alt (pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -1 binary64) im))) #s(literal 2 binary64))>
#<alt (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -1 binary64) im)))>
#<alt (*.f64 (cos.f64 re) (*.f64 #s(literal -1 binary64) im))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) (cos.f64 re))>
#<alt (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 re)) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 re)) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))>
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#<alt (*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))>
#<alt (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (cos.f64 re)))>
#<alt (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (cos.f64 re))))>
#<alt (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (cos.f64 re))))>
#<alt (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (cos.f64 re))))>
#<alt (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (cos.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cos.f64 re)) (*.f64 #s(literal 2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cos.f64 re)) (*.f64 #s(literal 2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cos.f64 re)) (*.f64 #s(literal 2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))))))>
#<alt (+.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))) (*.f64 #s(literal 1/24 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))))))))>
#<alt (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))>
#<alt (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))>
#<alt (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))>
#<alt (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))>
#<alt (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))>
#<alt (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))>
#<alt (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))>
#<alt (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -2 binary64) im)>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
Calls

63 calls:

TimeVariablePointExpression
6.0ms
im
@0
(sqrt (* (cos re) (* -1 im)))
3.0ms
re
@0
(pow (sqrt (* (cos re) (* -1 im))) 2)
1.0ms
im
@-inf
(* im (- (* -1/3 (pow im 2)) 2))
1.0ms
re
@inf
(* 1/2 (* (* im (- (* -1/3 (pow im 2)) 2)) (cos re)))
1.0ms
re
@0
(sqrt (* (cos re) (* -1 im)))

rewrite187.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
852×log1p-expm1-u
852×expm1-log1p-u
262×log1p-undefine
214×fma-define
191×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030297
1411277
24416277
Stop Event
node limit
Counts
13 → 254
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) (cos.f64 re)))
(*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))
(pow.f64 im #s(literal 2 binary64))
(*.f64 (cos.f64 re) (neg.f64 im))
(*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re)))
(*.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re))
(pow.f64 im #s(literal 5 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -1 binary64) im))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -1 binary64) im)))
(*.f64 (cos.f64 re) (*.f64 #s(literal -1 binary64) im))
(*.f64 #s(literal -1 binary64) im)
(*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) (cos.f64 re))
(*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re))) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re)))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re))))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 im (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/3 binary64)) (pow.f64 im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 im) (log.f64 #s(literal -1/3 binary64))))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 im) (log.f64 #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 im im)
(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 im #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 im) im))
(*.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 im) im))
(*.f64 (*.f64 im (sqrt.f64 im)) (sqrt.f64 im))
(*.f64 (*.f64 im (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im))
(neg.f64 (pow.f64 im #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 im #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 im #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 im #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 im)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 im)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 im (cos.f64 re)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (cos.f64 re)))) #s(literal 1 binary64))
(pow.f64 (*.f64 im (cos.f64 re)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (cos.f64 re))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (cos.f64 re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (cos.f64 re)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 im (cos.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(neg.f64 (*.f64 im (cos.f64 re)))
(sqrt.f64 (pow.f64 (*.f64 im (cos.f64 re)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 re)) im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (cos.f64 re)))))
(cbrt.f64 (pow.f64 (*.f64 im (cos.f64 re)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 im (cos.f64 re))))
(log1p.f64 (expm1.f64 (*.f64 im (cos.f64 re))))
(exp.f64 (log.f64 (*.f64 im (cos.f64 re))))
(exp.f64 (*.f64 (log.f64 (*.f64 im (cos.f64 re))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 re)) (pow.f64 im #s(literal 5 binary64))) #s(literal -1/120 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64))))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 re) (pow.f64 im #s(literal 5 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 re) (pow.f64 im #s(literal 5 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (pow.f64 im #s(literal 5 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 re) (pow.f64 im #s(literal 5 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 (cos.f64 re)) (pow.f64 im #s(literal 5/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 10 binary64)) (pow.f64 (cos.f64 re) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 re)) (pow.f64 im #s(literal 5 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 re) (pow.f64 im #s(literal 5 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (pow.f64 im #s(literal 5 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) (pow.f64 im #s(literal 5 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 re) (pow.f64 im #s(literal 5 binary64)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 re) (pow.f64 im #s(literal 5 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 re) (pow.f64 im #s(literal 5 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 im #s(literal 5 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))
(*.f64 (cbrt.f64 (pow.f64 im #s(literal 5 binary64))) (cbrt.f64 (pow.f64 im #s(literal 10 binary64))))
(*.f64 (cbrt.f64 (pow.f64 im #s(literal 10 binary64))) (cbrt.f64 (pow.f64 im #s(literal 5 binary64))))
(*.f64 (pow.f64 im #s(literal 5/2 binary64)) (pow.f64 im #s(literal 5/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal 5 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 5 binary64)))
(*.f64 (pow.f64 (sqrt.f64 im) #s(literal 5 binary64)) (pow.f64 (sqrt.f64 im) #s(literal 5 binary64)))
(sqrt.f64 (pow.f64 im #s(literal 10 binary64)))
(log.f64 (exp.f64 (pow.f64 im #s(literal 5 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 im #s(literal 5 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 im #s(literal 5 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 im #s(literal 5 binary64))))
(exp.f64 (*.f64 #s(literal 5 binary64) (log.f64 im)))
(exp.f64 (*.f64 (*.f64 #s(literal 5 binary64) (log.f64 im)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 im (cos.f64 re)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (cos.f64 re)))) #s(literal 1 binary64))
(*.f64 im (cos.f64 re))
(*.f64 im (*.f64 (cos.f64 re) #s(literal -1 binary64)))
(*.f64 (cos.f64 re) im)
(*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))
(*.f64 (*.f64 im (cos.f64 re)) #s(literal -1 binary64))
(*.f64 (*.f64 im (cos.f64 re)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 im (cos.f64 re))) (sqrt.f64 (*.f64 im (cos.f64 re))))
(*.f64 #s(literal 1 binary64) (*.f64 im (cos.f64 re)))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 im) (cos.f64 re)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cos.f64 re)) im))
(*.f64 (cbrt.f64 (*.f64 im (cos.f64 re))) (pow.f64 (cbrt.f64 (*.f64 im (cos.f64 re))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (*.f64 im (cos.f64 re))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 im (cos.f64 re)))) (sqrt.f64 (*.f64 im (cos.f64 re)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 im (cos.f64 re))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 im (cos.f64 re))))
(*.f64 (sqrt.f64 (cos.f64 re)) (*.f64 (sqrt.f64 (cos.f64 re)) im))
(*.f64 (sqrt.f64 (cos.f64 re)) (*.f64 (sqrt.f64 im) (sqrt.f64 (*.f64 im (cos.f64 re)))))
(*.f64 (pow.f64 (*.f64 im (cos.f64 re)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 im (cos.f64 re)) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 im (cos.f64 re)))))
(*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 im) (cos.f64 re)))
(*.f64 (*.f64 (cos.f64 re) #s(literal -1 binary64)) im)
(*.f64 (*.f64 (sqrt.f64 (*.f64 im (cos.f64 re))) (pow.f64 (*.f64 im (cos.f64 re)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 im (cos.f64 re)) #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (cos.f64 re)) im)
(*.f64 (*.f64 (cos.f64 re) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im))
(*.f64 (*.f64 (cos.f64 re) (sqrt.f64 im)) (sqrt.f64 im))
(*.f64 (*.f64 im (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 re)))
(*.f64 (*.f64 im (sqrt.f64 (cos.f64 re))) (sqrt.f64 (cos.f64 re)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 im (cos.f64 re))) (cbrt.f64 (*.f64 im (cos.f64 re)))) (cbrt.f64 (sqrt.f64 (*.f64 im (cos.f64 re)))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 im (cos.f64 re))) (sqrt.f64 (cos.f64 re))) (sqrt.f64 im))
(*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal -1 binary64)) #s(literal 1 binary64)) im)
(*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im))
(*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal -1 binary64)) (sqrt.f64 im)) (sqrt.f64 im))
(neg.f64 (*.f64 im (cos.f64 re)))
(sqrt.f64 (pow.f64 (*.f64 im (cos.f64 re)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 re)) im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (cos.f64 re)))))
(cbrt.f64 (pow.f64 (*.f64 im (cos.f64 re)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 im (cos.f64 re))))
(log1p.f64 (expm1.f64 (*.f64 im (cos.f64 re))))
(exp.f64 (log.f64 (*.f64 im (cos.f64 re))))
(exp.f64 (*.f64 (log.f64 (*.f64 im (cos.f64 re))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 im (cos.f64 re))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 im (cos.f64 re))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 im (cos.f64 re))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 im (cos.f64 re)))) (cbrt.f64 (*.f64 im (cos.f64 re))))
(*.f64 (cbrt.f64 (*.f64 im (cos.f64 re))) (cbrt.f64 (sqrt.f64 (*.f64 im (cos.f64 re)))))
(*.f64 (sqrt.f64 (cos.f64 re)) (sqrt.f64 im))
(*.f64 (pow.f64 (*.f64 im (cos.f64 re)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 im (cos.f64 re)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 im) (sqrt.f64 (cos.f64 re)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 im (cos.f64 re))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 im (cos.f64 re))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 im (cos.f64 re))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (cos.f64 re) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 im))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 im (cos.f64 re))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 im (cos.f64 re)))))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 re) #s(literal -1 binary64))) (sqrt.f64 im))
(pow.f64 (*.f64 im (cos.f64 re)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (cos.f64 re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 im (cos.f64 re)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (cos.f64 re)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 im (cos.f64 re)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 im (cos.f64 re))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 im (cos.f64 re)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 im (cos.f64 re))))))
(cbrt.f64 (pow.f64 (*.f64 im (cos.f64 re)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 im (cos.f64 re)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 im (cos.f64 re)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 im (cos.f64 re)))))
(exp.f64 (*.f64 (log.f64 (*.f64 im (cos.f64 re))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 im (cos.f64 re)))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 im (cos.f64 re)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (cos.f64 re)))) #s(literal 1 binary64))
(pow.f64 (*.f64 im (cos.f64 re)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (cos.f64 re))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (cos.f64 re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (cos.f64 re)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 im (cos.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(neg.f64 (*.f64 im (cos.f64 re)))
(sqrt.f64 (pow.f64 (*.f64 im (cos.f64 re)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 re)) im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (cos.f64 re)))))
(cbrt.f64 (pow.f64 (*.f64 im (cos.f64 re)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 im (cos.f64 re))))
(log1p.f64 (expm1.f64 (*.f64 im (cos.f64 re))))
(exp.f64 (log.f64 (*.f64 im (cos.f64 re))))
(exp.f64 (*.f64 (log.f64 (*.f64 im (cos.f64 re))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) im)
(-.f64 #s(literal 0 binary64) im)
(-.f64 (exp.f64 (log1p.f64 im)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 im im (*.f64 #s(literal 0 binary64) im))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 2 binary64))) im)
(pow.f64 im #s(literal 1 binary64))
(pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 im) #s(literal 3 binary64))
(pow.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 im) #s(literal 2 binary64))
(neg.f64 im)
(sqrt.f64 (pow.f64 im #s(literal 2 binary64)))
(fabs.f64 im)
(log.f64 (exp.f64 im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 im)))
(cbrt.f64 (pow.f64 im #s(literal 3 binary64)))
im
(expm1.f64 (log1p.f64 im))
(log1p.f64 (expm1.f64 im))
(exp.f64 (log.f64 im))
(exp.f64 (*.f64 (log.f64 im) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re))))) #s(literal 1 binary64))
(pow.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 re)) (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re))))))
(cbrt.f64 (pow.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re)))))
(log1p.f64 (expm1.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re)))))
(exp.f64 (log.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re)))))
(exp.f64 (*.f64 (log.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re)))) #s(literal 1 binary64)))
(+.f64 (*.f64 im (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))) (*.f64 im #s(literal -2 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) im) (*.f64 #s(literal -2 binary64) im))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 im (fma.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64) #s(literal -8 binary64))) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -2/3 binary64) #s(literal 4 binary64))))
(/.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64) #s(literal -8 binary64)) im) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -2/3 binary64) #s(literal 4 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 im) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(fma.f64 im (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 im #s(literal -2 binary64)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) im (*.f64 #s(literal -2 binary64) im))

simplify184.0ms (2.3%)

Algorithm
egg-herbie
Rules
749×associate-*r*
658×associate-*l*
356×fma-define
282×*-commutative
255×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
064512686
1143712240
2590512204
Stop Event
node limit
Counts
415 → 365
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 re)) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 re)) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 re)) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (cos.f64 re)))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (cos.f64 re))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (cos.f64 re))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (cos.f64 re))))
(*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (cos.f64 re)))
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(*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im))
(*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal -1 binary64)) (sqrt.f64 im)) (sqrt.f64 im))
(neg.f64 (*.f64 im (cos.f64 re)))
(sqrt.f64 (pow.f64 (*.f64 im (cos.f64 re)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 re)) im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (cos.f64 re)))))
(cbrt.f64 (pow.f64 (*.f64 im (cos.f64 re)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 im (cos.f64 re))))
(log1p.f64 (expm1.f64 (*.f64 im (cos.f64 re))))
(exp.f64 (log.f64 (*.f64 im (cos.f64 re))))
(exp.f64 (*.f64 (log.f64 (*.f64 im (cos.f64 re))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 im (cos.f64 re))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 im (cos.f64 re))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 im (cos.f64 re))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 im (cos.f64 re)))) (cbrt.f64 (*.f64 im (cos.f64 re))))
(*.f64 (cbrt.f64 (*.f64 im (cos.f64 re))) (cbrt.f64 (sqrt.f64 (*.f64 im (cos.f64 re)))))
(*.f64 (sqrt.f64 (cos.f64 re)) (sqrt.f64 im))
(*.f64 (pow.f64 (*.f64 im (cos.f64 re)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 im (cos.f64 re)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 im) (sqrt.f64 (cos.f64 re)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 im (cos.f64 re))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 im (cos.f64 re))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 im (cos.f64 re))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (cos.f64 re) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 im))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 im (cos.f64 re))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 im (cos.f64 re)))))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 re) #s(literal -1 binary64))) (sqrt.f64 im))
(pow.f64 (*.f64 im (cos.f64 re)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (cos.f64 re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 im (cos.f64 re)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (cos.f64 re)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 im (cos.f64 re)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 im (cos.f64 re))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 im (cos.f64 re)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 im (cos.f64 re))))))
(cbrt.f64 (pow.f64 (*.f64 im (cos.f64 re)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 im (cos.f64 re)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 im (cos.f64 re)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 im (cos.f64 re)))))
(exp.f64 (*.f64 (log.f64 (*.f64 im (cos.f64 re))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 im (cos.f64 re)))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 im (cos.f64 re)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (cos.f64 re)))) #s(literal 1 binary64))
(pow.f64 (*.f64 im (cos.f64 re)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (cos.f64 re))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (cos.f64 re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (cos.f64 re)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 im (cos.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(neg.f64 (*.f64 im (cos.f64 re)))
(sqrt.f64 (pow.f64 (*.f64 im (cos.f64 re)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 re)) im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (cos.f64 re)))))
(cbrt.f64 (pow.f64 (*.f64 im (cos.f64 re)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 im (cos.f64 re))))
(log1p.f64 (expm1.f64 (*.f64 im (cos.f64 re))))
(exp.f64 (log.f64 (*.f64 im (cos.f64 re))))
(exp.f64 (*.f64 (log.f64 (*.f64 im (cos.f64 re))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) im)
(-.f64 #s(literal 0 binary64) im)
(-.f64 (exp.f64 (log1p.f64 im)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 im im (*.f64 #s(literal 0 binary64) im))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 2 binary64))) im)
(pow.f64 im #s(literal 1 binary64))
(pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 im) #s(literal 3 binary64))
(pow.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 im) #s(literal 2 binary64))
(neg.f64 im)
(sqrt.f64 (pow.f64 im #s(literal 2 binary64)))
(fabs.f64 im)
(log.f64 (exp.f64 im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 im)))
(cbrt.f64 (pow.f64 im #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 im))
(log1p.f64 (expm1.f64 im))
(exp.f64 (log.f64 im))
(exp.f64 (*.f64 (log.f64 im) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re))))) #s(literal 1 binary64))
(pow.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 re)) (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re))))))
(cbrt.f64 (pow.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re)))))
(log1p.f64 (expm1.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re)))))
(exp.f64 (log.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re)))))
(exp.f64 (*.f64 (log.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re)))) #s(literal 1 binary64)))
(+.f64 (*.f64 im (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))) (*.f64 im #s(literal -2 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) im) (*.f64 #s(literal -2 binary64) im))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 im (fma.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64) #s(literal -8 binary64))) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -2/3 binary64) #s(literal 4 binary64))))
(/.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64) #s(literal -8 binary64)) im) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -2/3 binary64) #s(literal 4 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 im) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(fma.f64 im (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 im #s(literal -2 binary64)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) im (*.f64 #s(literal -2 binary64) im))
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))
(*.f64 (cos.f64 re) (neg.f64 im))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 re)) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 #s(literal -1/6 binary64) (*.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 im (*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 re)) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 #s(literal -1/6 binary64) (*.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 im (*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 re)) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 #s(literal -1/6 binary64) (*.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 im (*.f64 (cos.f64 re) (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (cos.f64 re)))
(*.f64 #s(literal -1/6 binary64) (*.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64))))
(*.f64 (cos.f64 re) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (cos.f64 re))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (*.f64 (cos.f64 re) #s(literal -1/6 binary64))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (cos.f64 re) #s(literal -1/6 binary64) (/.f64 (cos.f64 re) (neg.f64 (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (cos.f64 re))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (*.f64 (cos.f64 re) #s(literal -1/6 binary64))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (cos.f64 re) #s(literal -1/6 binary64) (/.f64 (cos.f64 re) (neg.f64 (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (cos.f64 re))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (*.f64 (cos.f64 re) #s(literal -1/6 binary64))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (cos.f64 re) #s(literal -1/6 binary64) (/.f64 (cos.f64 re) (neg.f64 (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (cos.f64 re)))
(*.f64 #s(literal -1/6 binary64) (*.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64))))
(*.f64 (cos.f64 re) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (*.f64 (cos.f64 re) #s(literal -1/6 binary64))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (cos.f64 re) #s(literal -1/6 binary64) (/.f64 (cos.f64 re) (neg.f64 (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (*.f64 (cos.f64 re) #s(literal -1/6 binary64))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (cos.f64 re) #s(literal -1/6 binary64) (/.f64 (cos.f64 re) (neg.f64 (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (*.f64 (cos.f64 re) #s(literal -1/6 binary64))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (cos.f64 re) #s(literal -1/6 binary64) (/.f64 (cos.f64 re) (neg.f64 (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))
(*.f64 im (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -2 binary64))))
(+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))))
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(*.f64 im (fma.f64 #s(literal -2 binary64) (cos.f64 re) (*.f64 (*.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) #s(literal -1/3 binary64))))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/3 binary64) (*.f64 im #s(literal -2 binary64))))
(cbrt.f64 (pow.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re))) #s(literal 3 binary64)))
(*.f64 im (fma.f64 #s(literal -2 binary64) (cos.f64 re) (*.f64 (*.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) #s(literal -1/3 binary64))))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/3 binary64) (*.f64 im #s(literal -2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))
(*.f64 im (fma.f64 #s(literal -2 binary64) (cos.f64 re) (*.f64 (*.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) #s(literal -1/3 binary64))))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/3 binary64) (*.f64 im #s(literal -2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64))))
(*.f64 im (fma.f64 #s(literal -2 binary64) (cos.f64 re) (*.f64 (*.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) #s(literal -1/3 binary64))))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/3 binary64) (*.f64 im #s(literal -2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re)))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) (cos.f64 re))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/3 binary64) (*.f64 im #s(literal -2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re)))))
(*.f64 im (fma.f64 #s(literal -2 binary64) (cos.f64 re) (*.f64 (*.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) #s(literal -1/3 binary64))))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/3 binary64) (*.f64 im #s(literal -2 binary64))))
(exp.f64 (log.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re)))))
(*.f64 im (fma.f64 #s(literal -2 binary64) (cos.f64 re) (*.f64 (*.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) #s(literal -1/3 binary64))))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/3 binary64) (*.f64 im #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re)))) #s(literal 1 binary64)))
(*.f64 im (fma.f64 #s(literal -2 binary64) (cos.f64 re) (*.f64 (*.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) #s(literal -1/3 binary64))))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/3 binary64) (*.f64 im #s(literal -2 binary64))))
(+.f64 (*.f64 im (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))) (*.f64 im #s(literal -2 binary64)))
(*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/3 binary64) (*.f64 im #s(literal -2 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) im) (*.f64 #s(literal -2 binary64) im))
(*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/3 binary64) (*.f64 im #s(literal -2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/3 binary64) (*.f64 im #s(literal -2 binary64)))))
(/.f64 (*.f64 im (fma.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64) #s(literal -8 binary64))) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -2/3 binary64) #s(literal 4 binary64))))
(*.f64 (fma.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64) #s(literal -8 binary64)) (/.f64 im (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -2/3 binary64) #s(literal 4 binary64)))))
(/.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal -8 binary64))) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -2/3 binary64) #s(literal 4 binary64))))
(/.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) (/.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 im (/.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal 2 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64) #s(literal -8 binary64)) im) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -2/3 binary64) #s(literal 4 binary64))))
(*.f64 (fma.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64) #s(literal -8 binary64)) (/.f64 im (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -2/3 binary64) #s(literal 4 binary64)))))
(/.f64 (*.f64 im (fma.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64) #s(literal -8 binary64))) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -2/3 binary64) #s(literal 4 binary64))))
(/.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/27 binary64) #s(literal -8 binary64))) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -2/3 binary64) #s(literal 4 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) (/.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 im (/.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal 2 binary64))))
(pow.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/3 binary64) (*.f64 im #s(literal -2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 3 binary64))
(*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/3 binary64) (*.f64 im #s(literal -2 binary64)))
(pow.f64 (pow.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/3 binary64) (*.f64 im #s(literal -2 binary64)))
(pow.f64 (sqrt.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 2 binary64))
(*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/3 binary64) (*.f64 im #s(literal -2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)))
(*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/3 binary64) (*.f64 im #s(literal -2 binary64)))
(log.f64 (pow.f64 (exp.f64 im) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))
(*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/3 binary64) (*.f64 im #s(literal -2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))))
(*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/3 binary64) (*.f64 im #s(literal -2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)))
(*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/3 binary64) (*.f64 im #s(literal -2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 3 binary64))))
(*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/3 binary64) (*.f64 im #s(literal -2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/3 binary64) (*.f64 im #s(literal -2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/3 binary64) (*.f64 im #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))
(*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/3 binary64) (*.f64 im #s(literal -2 binary64)))
(exp.f64 (log.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))
(*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/3 binary64) (*.f64 im #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/3 binary64) (*.f64 im #s(literal -2 binary64)))
(fma.f64 im (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 im #s(literal -2 binary64)))
(*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/3 binary64) (*.f64 im #s(literal -2 binary64)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) im (*.f64 #s(literal -2 binary64) im))
(*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/3 binary64) (*.f64 im #s(literal -2 binary64)))

eval65.0ms (0.8%)

Compiler

Compiled 7576 to 1692 computations (77.7% saved)

prune198.0ms (2.5%)

Pruning

25 alts after pruning (19 fresh and 6 done)

PrunedKeptTotal
New4958503
Fresh51116
Picked145
Done022
Total50125526
Accuracy
100.0%
Counts
526 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.5%
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -1 binary64) im))) #s(literal 2 binary64))
51.7%
(*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im))
52.6%
(*.f64 (log.f64 (exp.f64 (cos.f64 re))) (neg.f64 im))
52.7%
(*.f64 (expm1.f64 (log1p.f64 (cos.f64 re))) (neg.f64 im))
52.8%
(*.f64 (cos.f64 re) (neg.f64 im))
51.7%
(*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/3 binary64) (*.f64 im #s(literal -2 binary64))))
51.7%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) im))) #s(literal 3 binary64)))
42.6%
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
40.2%
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
56.3%
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))
53.8%
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (log.f64 (exp.f64 (cos.f64 re)))))
53.8%
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)))
50.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (cos.f64 re)))
81.6%
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) im) (*.f64 #s(literal -2 binary64) im)) (cos.f64 re)))
81.6%
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) (cos.f64 re)))
51.7%
(*.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))
36.1%
(*.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal -2 binary64) (pow.f64 re #s(literal 2 binary64)))))
2.1%
(*.f64 #s(literal 1/2 binary64) #s(literal 8 binary64))
3.4%
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
30.1%
(*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64)))
39.3%
(*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re)))
30.7%
(neg.f64 im)
50.1%
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64)))
2.1%
#s(literal 1/4 binary64)
3.7%
#s(literal -1 binary64)
Compiler

Compiled 459 to 372 computations (19% saved)

simplify62.0ms (0.8%)

Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 re)
cost-diff0
(log1p.f64 (cos.f64 re))
cost-diff12800
(expm1.f64 (log1p.f64 (cos.f64 re)))
cost-diff12800
(*.f64 (expm1.f64 (log1p.f64 (cos.f64 re))) (neg.f64 im))
cost-diff0
(exp.f64 im)
cost-diff0
(neg.f64 im)
cost-diff0
(exp.f64 (neg.f64 im))
cost-diff0
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
cost-diff0
(pow.f64 im #s(literal 5 binary64))
cost-diff0
(*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64)))
cost-diff-6080
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) (cos.f64 re)))
cost-diff0
(cos.f64 re)
cost-diff0
(*.f64 im im)
cost-diff0
(*.f64 #s(literal -1/3 binary64) (*.f64 im im))
Rules
418×associate--r-
401×distribute-lft-out
361×sub-neg
337×distribute-rgt-neg-in
334×distribute-lft-neg-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
031389
163389
2127387
3314366
4949362
52579362
64718362
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) (cos.f64 re)))
#s(literal 1/2 binary64)
(*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) (cos.f64 re))
(*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64)))
im
(-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))
(*.f64 #s(literal -1/3 binary64) (*.f64 im im))
#s(literal -1/3 binary64)
(*.f64 im im)
#s(literal 2 binary64)
(cos.f64 re)
re
#s(literal 1/4 binary64)
(*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64)))
#s(literal -1/120 binary64)
(pow.f64 im #s(literal 5 binary64))
im
#s(literal 5 binary64)
(*.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 (expm1.f64 (log1p.f64 (cos.f64 re))) (neg.f64 im))
(expm1.f64 (log1p.f64 (cos.f64 re)))
(log1p.f64 (cos.f64 re))
(cos.f64 re)
re
(neg.f64 im)
im
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) (cos.f64 re))))
(*.f64 im (*.f64 (fma.f64 im (*.f64 im #s(literal -1/3 binary64)) #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 re))))
(*.f64 (cos.f64 re) (+.f64 (neg.f64 im) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64))))
(*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)))
(*.f64 (cos.f64 re) (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im))
#s(literal 1/2 binary64)
(*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) (cos.f64 re))
(*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)) (cos.f64 re)))
(*.f64 im (*.f64 (fma.f64 im (*.f64 im #s(literal -1/3 binary64)) #s(literal -2 binary64)) (cos.f64 re)))
(*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64)) (*.f64 im #s(literal -2 binary64))) (cos.f64 re))
(*.f64 (fma.f64 im #s(literal -2 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64)))) (cos.f64 re))
(*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64)))
(*.f64 im (fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64)))
(*.f64 im (fma.f64 im (*.f64 im #s(literal -1/3 binary64)) #s(literal -2 binary64)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64)) (*.f64 im #s(literal -2 binary64)))
(fma.f64 im #s(literal -2 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64))))
im
(-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))
(fma.f64 #s(literal -1/3 binary64) (*.f64 im im) #s(literal -2 binary64))
(fma.f64 im (*.f64 im #s(literal -1/3 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal -1/3 binary64) (*.f64 im im))
(*.f64 im (*.f64 im #s(literal -1/3 binary64)))
#s(literal -1/3 binary64)
(*.f64 im im)
#s(literal 2 binary64)
(cos.f64 re)
re
#s(literal 1/4 binary64)
(*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64)))
#s(literal -1/120 binary64)
(pow.f64 im #s(literal 5 binary64))
im
#s(literal 5 binary64)
(*.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)))
(fma.f64 (exp.f64 im) #s(literal -1/2 binary64) (/.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 (expm1.f64 (log1p.f64 (cos.f64 re))) (neg.f64 im))
(*.f64 (neg.f64 im) (expm1.f64 (log1p.f64 (cos.f64 re))))
(*.f64 im (neg.f64 (+.f64 (cos.f64 re) #s(literal 0 binary64))))
(*.f64 im (neg.f64 (cos.f64 re)))
(expm1.f64 (log1p.f64 (cos.f64 re)))
(cos.f64 re)
(log1p.f64 (cos.f64 re))
(cos.f64 re)
re
(neg.f64 im)
im

localize204.0ms (2.6%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(cos.f64 re)
accuracy99.9%
(*.f64 (expm1.f64 (log1p.f64 (cos.f64 re))) (neg.f64 im))
accuracy99.8%
(expm1.f64 (log1p.f64 (cos.f64 re)))
accuracy99.7%
(log1p.f64 (cos.f64 re))
accuracy100.0%
(neg.f64 im)
accuracy100.0%
(exp.f64 (neg.f64 im))
accuracy100.0%
(exp.f64 im)
accuracy53.8%
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
accuracy100.0%
(pow.f64 im #s(literal 5 binary64))
accuracy99.2%
(*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64)))
accuracy99.9%
(*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) (cos.f64 re))
accuracy99.9%
(*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64)))
accuracy99.7%
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) (cos.f64 re)))
accuracy99.7%
(*.f64 #s(literal -1/3 binary64) (*.f64 im im))
Results
137.0ms125×1valid
36.0ms131×0valid
Compiler

Compiled 114 to 27 computations (76.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 137.0ms
ival-log1p: 60.0ms (43.9% of total)
ival-mult: 20.0ms (14.6% of total)
ival-exp: 17.0ms (12.4% of total)
ival-cos: 10.0ms (7.3% of total)
...in/eval/compile.rkt:71:19: 8.0ms (5.8% of total)
adjust: 6.0ms (4.4% of total)
ival-sub: 4.0ms (2.9% of total)
ival-pow: 4.0ms (2.9% of total)
ival-expm1: 4.0ms (2.9% of total)
ival-neg: 2.0ms (1.5% of total)
...in/eval/compile.rkt:70:19: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series63.0ms (0.8%)

Counts
9 → 132
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal -1/3 binary64) (*.f64 im im))>
#<alt (*.f64 im im)>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) (cos.f64 re)))>
#<alt (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64)))>
#<alt (*.f64 (expm1.f64 (log1p.f64 (cos.f64 re))) (neg.f64 im))>
#<alt (expm1.f64 (log1p.f64 (cos.f64 re)))>
#<alt (log1p.f64 (cos.f64 re))>
#<alt (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64)))>
#<alt (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) (cos.f64 re))>
Outputs
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 re)) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 re)) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 re)) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))>
#<alt (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (cos.f64 re)))>
#<alt (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (cos.f64 re))))>
#<alt (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (cos.f64 re))))>
#<alt (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (cos.f64 re))))>
#<alt (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (cos.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/48 binary64) (*.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))) (*.f64 #s(literal 1/48 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) im) (*.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) im))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/24 binary64) im) (*.f64 #s(literal 1/720 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/2 binary64))))>
#<alt (cos.f64 re)>
#<alt (cos.f64 re)>
#<alt (cos.f64 re)>
#<alt (cos.f64 re)>
#<alt (cos.f64 re)>
#<alt (cos.f64 re)>
#<alt (cos.f64 re)>
#<alt (cos.f64 re)>
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/96 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/4 binary64))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/1440 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/96 binary64))) #s(literal 1/4 binary64))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)))>
#<alt (*.f64 #s(literal -2 binary64) im)>
#<alt (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))>
#<alt (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))>
#<alt (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 im (cos.f64 re)))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 re)) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))>
#<alt (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (cos.f64 re)))>
#<alt (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (cos.f64 re))))>
#<alt (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (cos.f64 re))))>
#<alt (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (cos.f64 re))))>
#<alt (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (cos.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cos.f64 re)) (*.f64 #s(literal 2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cos.f64 re)) (*.f64 #s(literal 2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cos.f64 re)) (*.f64 #s(literal 2 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))))))>
#<alt (+.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))) (*.f64 #s(literal 1/24 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))))))))>
#<alt (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))>
#<alt (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))>
#<alt (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))>
#<alt (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))>
#<alt (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))>
#<alt (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))>
#<alt (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))>
#<alt (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))>
Calls

36 calls:

TimeVariablePointExpression
34.0ms
re
@inf
(log (+ 1 (cos re)))
19.0ms
re
@-inf
(log (+ 1 (cos re)))
2.0ms
im
@inf
(* 1/2 (* (* im (- (* -1/3 (* im im)) 2)) (cos re)))
1.0ms
re
@0
(log (+ 1 (cos re)))
0.0ms
im
@-inf
(* -1/120 (pow im 5))

rewrite144.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
804×log1p-expm1-u
803×expm1-log1p-u
245×expm1-undefine
245×log1p-undefine
215×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026196
1326192
23984192
Stop Event
node limit
Counts
9 → 153
Calls
Call 1
Inputs
(*.f64 #s(literal -1/3 binary64) (*.f64 im im))
(*.f64 im im)
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) (cos.f64 re)))
(*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64)))
(*.f64 (expm1.f64 (log1p.f64 (cos.f64 re))) (neg.f64 im))
(expm1.f64 (log1p.f64 (cos.f64 re)))
(log1p.f64 (cos.f64 re))
(*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64)))
(*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) (cos.f64 re))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 im (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/3 binary64)) (pow.f64 im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 im) (log.f64 #s(literal -1/3 binary64))))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 im) (log.f64 #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(neg.f64 (pow.f64 im #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 im #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 im #s(literal 2 binary64)))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (pow.f64 im #s(literal 2 binary64)))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 im #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 im #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 im)))
(exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 im)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re)) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 im (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re)) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 im (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 im) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) (cos.f64 re)) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re)) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 im (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re)) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re)) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 im (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re)) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 im (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re)) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 im (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 5/2 binary64)) (sqrt.f64 #s(literal -1/120 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 10 binary64)) #s(literal 1/14400 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 5 binary64))) #s(literal -1/120 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64)))))
(exp.f64 (fma.f64 #s(literal 5 binary64) (log.f64 im) (log.f64 #s(literal -1/120 binary64))))
(exp.f64 (*.f64 (fma.f64 #s(literal 5 binary64) (log.f64 im) (log.f64 #s(literal -1/120 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 im (cos.f64 re)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (cos.f64 re)))) #s(literal 1 binary64))
(pow.f64 (*.f64 im (cos.f64 re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (cos.f64 re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (cos.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (cos.f64 re))) #s(literal 2 binary64))
(neg.f64 (*.f64 im (cos.f64 re)))
(sqrt.f64 (pow.f64 (*.f64 im (cos.f64 re)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 im) (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (cos.f64 re)))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (cos.f64 re))))))
(cbrt.f64 (pow.f64 (*.f64 im (cos.f64 re)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 im (cos.f64 re))))
(log1p.f64 (expm1.f64 (*.f64 im (cos.f64 re))))
(exp.f64 (log.f64 (*.f64 im (cos.f64 re))))
(exp.f64 (*.f64 (log.f64 (*.f64 im (cos.f64 re))) #s(literal 1 binary64)))
(+.f64 (+.f64 (cos.f64 re) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 re))) (cos.f64 #s(literal 1 binary64))) (*.f64 (sin.f64 (exp.f64 (log1p.f64 re))) (sin.f64 #s(literal 1 binary64))))
(-.f64 (+.f64 (cos.f64 re) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cos.f64 re) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 re))
(*.f64 (cbrt.f64 (cos.f64 re)) (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 re)))
(*.f64 (sqrt.f64 (cos.f64 re)) (sqrt.f64 (cos.f64 re)))
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 re) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 (cos.f64 re) #s(literal 1 binary64)) (+.f64 (cos.f64 re) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (cos.f64 re) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (+.f64 (cos.f64 re) #s(literal 1 binary64)) (+.f64 (cos.f64 re) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (+.f64 (cos.f64 re) #s(literal 1 binary64)) #s(literal 1 binary64)))
(pow.f64 (cos.f64 re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 re)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 re) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 re))))
(cbrt.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)))
(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)))
(fma.f64 #s(literal 1 binary64) (+.f64 (cos.f64 re) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (cos.f64 re) #s(literal 1 binary64))) (cbrt.f64 (+.f64 (cos.f64 re) #s(literal 1 binary64)))) (cbrt.f64 (+.f64 (cos.f64 re) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (+.f64 (cos.f64 re) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (cos.f64 re) #s(literal 1 binary64))) #s(literal -1 binary64))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (cos.f64 re)))) #s(literal 1 binary64))
(*.f64 (log1p.f64 (cos.f64 re)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log1p.f64 (cos.f64 re)))
(*.f64 (cbrt.f64 (log1p.f64 (cos.f64 re))) (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 re))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 re))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 (cos.f64 re))))
(*.f64 (sqrt.f64 (log1p.f64 (cos.f64 re))) (sqrt.f64 (log1p.f64 (cos.f64 re))))
(pow.f64 (log1p.f64 (cos.f64 re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log1p.f64 (cos.f64 re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log1p.f64 (cos.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log1p.f64 (cos.f64 re))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log1p.f64 (cos.f64 re)) #s(literal 2 binary64)))
(log.f64 (+.f64 (cos.f64 re) #s(literal 1 binary64)))
(cbrt.f64 (pow.f64 (log1p.f64 (cos.f64 re)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log1p.f64 (cos.f64 re))))
(exp.f64 (log.f64 (log1p.f64 (cos.f64 re))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (cos.f64 re))) #s(literal 1 binary64)))
(+.f64 (*.f64 im (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))) (*.f64 im #s(literal -2 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) im) (*.f64 #s(literal -2 binary64) im))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 im (fma.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64) #s(literal -8 binary64))) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -2/3 binary64) #s(literal 4 binary64))))
(/.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64) #s(literal -8 binary64)) im) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -2/3 binary64) #s(literal 4 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 im) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(fma.f64 im (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 im #s(literal -2 binary64)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) im (*.f64 #s(literal -2 binary64) im))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re))))) #s(literal 1 binary64))
(pow.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 im) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re))))))
(cbrt.f64 (pow.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re)))))
(log1p.f64 (expm1.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re)))))
(exp.f64 (log.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re)))))
(exp.f64 (*.f64 (log.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re)))) #s(literal 1 binary64)))

simplify186.0ms (2.4%)

Algorithm
egg-herbie
Rules
746×fmm-def
412×associate-*r*
345×associate-*l*
329×prod-exp
238×associate-+r+
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
04748273
110137876
235167498
369077432
Stop Event
node limit
Counts
285 → 289
Calls
Call 1
Inputs
(*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 re)) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 re)) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 re)) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (cos.f64 re)))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (cos.f64 re))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (cos.f64 re))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (cos.f64 re))))
(*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (cos.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/48 binary64) (*.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))) (*.f64 #s(literal 1/48 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (cos.f64 re) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) im)
(+.f64 (*.f64 #s(literal -1 binary64) im) (*.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) im))))
(+.f64 (*.f64 #s(literal -1 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/24 binary64) im) (*.f64 #s(literal 1/720 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))))))))
(*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(cos.f64 re)
(log.f64 #s(literal 2 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/96 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/1440 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/96 binary64))) #s(literal 1/4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 re)))
(*.f64 #s(literal -2 binary64) im)
(*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
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(+.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) im) (*.f64 #s(literal -2 binary64) im))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 im (fma.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64) #s(literal -8 binary64))) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -2/3 binary64) #s(literal 4 binary64))))
(/.f64 (*.f64 im (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64) #s(literal -8 binary64)) im) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -2/3 binary64) #s(literal 4 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) im) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 im) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(fma.f64 im (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 im #s(literal -2 binary64)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) im (*.f64 #s(literal -2 binary64) im))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re))))) #s(literal 1 binary64))
(pow.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 im) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) (cos.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re))))))
(cbrt.f64 (pow.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re)))))
(log1p.f64 (expm1.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re)))))
(exp.f64 (log.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re)))))
(exp.f64 (*.f64 (log.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re)))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 im (cos.f64 re)))
(*.f64 (neg.f64 im) (cos.f64 re))
(*.f64 (cos.f64 re) (neg.f64 im))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 re)) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(*.f64 im (*.f64 (cos.f64 re) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(*.f64 (cos.f64 re) (+.f64 (neg.f64 im) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))))
(*.f64 im (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 re)) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(*.f64 im (*.f64 (cos.f64 re) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(*.f64 (cos.f64 re) (+.f64 (neg.f64 im) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))))
(*.f64 im (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 re)) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(*.f64 im (fma.f64 #s(literal -1 binary64) (cos.f64 re) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(*.f64 im (*.f64 (cos.f64 re) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(*.f64 (cos.f64 re) (+.f64 (neg.f64 im) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))))
(*.f64 im (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (cos.f64 re)))
(*.f64 #s(literal -1/6 binary64) (*.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64))))
(*.f64 (cos.f64 re) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (cos.f64 re))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (*.f64 (cos.f64 re) #s(literal -1/6 binary64))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 (cos.f64 re) #s(literal -1/6 binary64)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal -1/6 binary64))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (-.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal -2 binary64)))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (cos.f64 re))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (*.f64 (cos.f64 re) #s(literal -1/6 binary64))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 (cos.f64 re) #s(literal -1/6 binary64)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal -1/6 binary64))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (-.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal -2 binary64)))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (cos.f64 re))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (*.f64 (cos.f64 re) #s(literal -1/6 binary64))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 (cos.f64 re) #s(literal -1/6 binary64)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal -1/6 binary64))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (-.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal -2 binary64)))))
(*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (cos.f64 re)))
(*.f64 #s(literal -1/6 binary64) (*.f64 (cos.f64 re) (pow.f64 im #s(literal 3 binary64))))
(*.f64 (cos.f64 re) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (*.f64 (cos.f64 re) #s(literal -1/6 binary64))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 (cos.f64 re) #s(literal -1/6 binary64)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal -1/6 binary64))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (-.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal -2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (*.f64 (cos.f64 re) #s(literal -1/6 binary64))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 (cos.f64 re) #s(literal -1/6 binary64)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal -1/6 binary64))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (-.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal -2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 re)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64))) (*.f64 (cos.f64 re) #s(literal -1/6 binary64))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 (cos.f64 re) #s(literal -1/6 binary64)) (/.f64 (cos.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal -1/6 binary64))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (cos.f64 re) (-.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal -2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))
(*.f64 (*.f64 im #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(*.f64 im (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))
(+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) (*.f64 (*.f64 im #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) (*.f64 im (*.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal -1/4 binary64))))
(*.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/48 binary64) (*.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) (*.f64 (*.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 1/48 binary64)))))
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(fma.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) im (*.f64 #s(literal -2 binary64) im))
(*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 im (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))))
(+.f64 #s(literal 0 binary64) (*.f64 im (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))
(pow.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re))) #s(literal 1 binary64))
(*.f64 im (fma.f64 #s(literal -2 binary64) (cos.f64 re) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(*.f64 im (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))
(pow.f64 (cbrt.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re)))) #s(literal 3 binary64))
(*.f64 im (fma.f64 #s(literal -2 binary64) (cos.f64 re) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(*.f64 im (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))
(pow.f64 (pow.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 im (fma.f64 #s(literal -2 binary64) (cos.f64 re) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(*.f64 im (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))
(pow.f64 (sqrt.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re)))) #s(literal 2 binary64))
(*.f64 im (fma.f64 #s(literal -2 binary64) (cos.f64 re) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(*.f64 im (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))
(sqrt.f64 (pow.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re))) #s(literal 2 binary64)))
(*.f64 im (fma.f64 #s(literal -2 binary64) (cos.f64 re) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(*.f64 im (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 im) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) (cos.f64 re)))
(*.f64 im (fma.f64 #s(literal -2 binary64) (cos.f64 re) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(*.f64 im (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re))))))
(*.f64 im (fma.f64 #s(literal -2 binary64) (cos.f64 re) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(*.f64 im (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))
(cbrt.f64 (pow.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re))) #s(literal 3 binary64)))
(*.f64 im (fma.f64 #s(literal -2 binary64) (cos.f64 re) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(*.f64 im (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 re) #s(literal 3 binary64))))
(*.f64 im (fma.f64 #s(literal -2 binary64) (cos.f64 re) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(*.f64 im (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64)) (pow.f64 (*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64))))
(*.f64 im (fma.f64 #s(literal -2 binary64) (cos.f64 re) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(*.f64 im (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re)))))
(expm1.f64 (log1p.f64 (*.f64 im (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))))
(+.f64 #s(literal 0 binary64) (*.f64 im (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re)))))
(*.f64 im (fma.f64 #s(literal -2 binary64) (cos.f64 re) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(*.f64 im (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))
(exp.f64 (log.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re)))))
(*.f64 im (fma.f64 #s(literal -2 binary64) (cos.f64 re) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(*.f64 im (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 im (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)) (cos.f64 re)))) #s(literal 1 binary64)))
(*.f64 im (fma.f64 #s(literal -2 binary64) (cos.f64 re) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (cos.f64 re)))))
(*.f64 im (*.f64 (cos.f64 re) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))

eval56.0ms (0.7%)

Compiler

Compiled 6176 to 1493 computations (75.8% saved)

prune75.0ms (1%)

Pruning

27 alts after pruning (18 fresh and 9 done)

PrunedKeptTotal
New4087415
Fresh31114
Picked055
Done246
Total41327440
Accuracy
100.0%
Counts
440 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.5%
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -1 binary64) im))) #s(literal 2 binary64))
36.1%
(-.f64 (*.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))) im)
52.3%
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 3 binary64)) (neg.f64 im))
52.6%
(*.f64 (-.f64 (+.f64 (cos.f64 re) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 im))
51.7%
(*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im))
52.6%
(*.f64 (log.f64 (exp.f64 (cos.f64 re))) (neg.f64 im))
52.7%
(*.f64 (expm1.f64 (log1p.f64 (cos.f64 re))) (neg.f64 im))
81.6%
(*.f64 (cos.f64 re) (+.f64 (neg.f64 im) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))))
52.8%
(*.f64 (cos.f64 re) (neg.f64 im))
52.7%
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64))) (neg.f64 im))
51.7%
(*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/3 binary64) (*.f64 im #s(literal -2 binary64))))
42.6%
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
40.2%
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
56.3%
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))
53.8%
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (log.f64 (exp.f64 (cos.f64 re)))))
53.8%
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)))
50.9%
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
81.6%
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) (cos.f64 re)))
51.7%
(*.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))
2.1%
(*.f64 #s(literal 1/2 binary64) #s(literal 8 binary64))
3.4%
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
30.1%
(*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64)))
12.9%
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 10 binary64)) #s(literal 1/14400 binary64)))
30.7%
(neg.f64 im)
50.1%
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64)))
2.1%
#s(literal 1/4 binary64)
3.7%
#s(literal -1 binary64)
Compiler

Compiled 702 to 380 computations (45.9% saved)

regimes325.0ms (4.1%)

Counts
44 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1/4 binary64)
(neg.f64 im)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 8 binary64))
(*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64)))
(*.f64 (cos.f64 re) (neg.f64 im))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal -2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (-.f64 (+.f64 (cos.f64 re) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 im))
(-.f64 (*.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))) im)
(*.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 26 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 26 binary64) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 10 binary64)) #s(literal 1/14400 binary64)))
(*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/3 binary64) (*.f64 im #s(literal -2 binary64))))
(*.f64 (cos.f64 re) (+.f64 (neg.f64 im) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))))
(*.f64 im (*.f64 (cos.f64 re) (+.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) im) (*.f64 #s(literal -2 binary64) im)) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))
(*.f64 (expm1.f64 (log1p.f64 (cos.f64 re))) (neg.f64 im))
(*.f64 (log.f64 (exp.f64 (cos.f64 re))) (neg.f64 im))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64))) (neg.f64 im))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 3 binary64)) (neg.f64 im))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64)))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -1 binary64) im))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (expm1.f64 (log1p.f64 (cos.f64 re)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (log.f64 (exp.f64 (cos.f64 re)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) im))) #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re)))
(*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (log.f64 (exp.f64 (cos.f64 re)))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) im) (*.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) (pow.f64 im #s(literal 3 binary64)))))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) im) (*.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) (pow.f64 im #s(literal 3 binary64)))))
Calls

6 calls:

261.0ms
im
15.0ms
re
13.0ms
(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
13.0ms
(cos.f64 re)
10.0ms
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Results
AccuracySegmentsBranch
86.7%1re
99.9%2im
99.9%3(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
86.7%1(*.f64 #s(literal 1/2 binary64) (cos.f64 re))
86.7%1(cos.f64 re)
99.9%2(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
Compiler

Compiled 39 to 30 computations (23.1% saved)

regimes26.0ms (0.3%)

Counts
43 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1/4 binary64)
(neg.f64 im)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 8 binary64))
(*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64)))
(*.f64 (cos.f64 re) (neg.f64 im))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal -2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (-.f64 (+.f64 (cos.f64 re) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 im))
(-.f64 (*.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))) im)
(*.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 26 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 26 binary64) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 10 binary64)) #s(literal 1/14400 binary64)))
(*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/3 binary64) (*.f64 im #s(literal -2 binary64))))
(*.f64 (cos.f64 re) (+.f64 (neg.f64 im) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))))
(*.f64 im (*.f64 (cos.f64 re) (+.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) im) (*.f64 #s(literal -2 binary64) im)) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))
(*.f64 (expm1.f64 (log1p.f64 (cos.f64 re))) (neg.f64 im))
(*.f64 (log.f64 (exp.f64 (cos.f64 re))) (neg.f64 im))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64))) (neg.f64 im))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 3 binary64)) (neg.f64 im))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64)))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -1 binary64) im))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (expm1.f64 (log1p.f64 (cos.f64 re)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (log.f64 (exp.f64 (cos.f64 re)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) im))) #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re)))
(*.f64 (*.f64 (*.f64 (cos.f64 re) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (log.f64 (exp.f64 (cos.f64 re)))))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re)))
Calls

2 calls:

12.0ms
im
11.0ms
(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
Results
AccuracySegmentsBranch
99.9%2im
99.9%2(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
Compiler

Compiled 12 to 9 computations (25% saved)

regimes29.0ms (0.4%)

Counts
40 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1/4 binary64)
(neg.f64 im)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 8 binary64))
(*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64)))
(*.f64 (cos.f64 re) (neg.f64 im))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal -2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (-.f64 (+.f64 (cos.f64 re) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 im))
(-.f64 (*.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))) im)
(*.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 26 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 26 binary64) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 10 binary64)) #s(literal 1/14400 binary64)))
(*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/3 binary64) (*.f64 im #s(literal -2 binary64))))
(*.f64 (cos.f64 re) (+.f64 (neg.f64 im) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))))
(*.f64 im (*.f64 (cos.f64 re) (+.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) im) (*.f64 #s(literal -2 binary64) im)) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))
(*.f64 (expm1.f64 (log1p.f64 (cos.f64 re))) (neg.f64 im))
(*.f64 (log.f64 (exp.f64 (cos.f64 re))) (neg.f64 im))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64))) (neg.f64 im))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 3 binary64)) (neg.f64 im))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64)))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -1 binary64) im))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (expm1.f64 (log1p.f64 (cos.f64 re)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (log.f64 (exp.f64 (cos.f64 re)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) im))) #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 re)) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) (cos.f64 re)))
Calls

2 calls:

16.0ms
im
9.0ms
(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
Results
AccuracySegmentsBranch
99.9%2im
99.9%2(-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im))
Compiler

Compiled 12 to 9 computations (25% saved)

regimes17.0ms (0.2%)

Counts
37 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1/4 binary64)
(neg.f64 im)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 8 binary64))
(*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64)))
(*.f64 (cos.f64 re) (neg.f64 im))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal -2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (-.f64 (+.f64 (cos.f64 re) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 im))
(-.f64 (*.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))) im)
(*.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 26 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 26 binary64) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 10 binary64)) #s(literal 1/14400 binary64)))
(*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/3 binary64) (*.f64 im #s(literal -2 binary64))))
(*.f64 (cos.f64 re) (+.f64 (neg.f64 im) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))))
(*.f64 im (*.f64 (cos.f64 re) (+.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/6 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) im) (*.f64 #s(literal -2 binary64) im)) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64)))))
(*.f64 (expm1.f64 (log1p.f64 (cos.f64 re))) (neg.f64 im))
(*.f64 (log.f64 (exp.f64 (cos.f64 re))) (neg.f64 im))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 re) #s(literal 3 binary64))) (neg.f64 im))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 re)) #s(literal 3 binary64)) (neg.f64 im))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64)))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 re) (*.f64 #s(literal -1 binary64) im))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (expm1.f64 (log1p.f64 (cos.f64 re)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (log.f64 (exp.f64 (cos.f64 re)))))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (cos.f64 re)))
Calls

1 calls:

15.0ms
im
Results
AccuracySegmentsBranch
99.4%2im
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts
22 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1/4 binary64)
(neg.f64 im)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 8 binary64))
(*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64)))
(*.f64 (cos.f64 re) (neg.f64 im))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal -2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (-.f64 (+.f64 (cos.f64 re) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 im))
(-.f64 (*.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))) im)
(*.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 26 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 26 binary64) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 10 binary64)) #s(literal 1/14400 binary64)))
(*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
(*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re)))
Calls

1 calls:

7.0ms
im
Results
AccuracySegmentsBranch
98.3%3im
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts
20 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1/4 binary64)
(neg.f64 im)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 8 binary64))
(*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64)))
(*.f64 (cos.f64 re) (neg.f64 im))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal -2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (-.f64 (+.f64 (cos.f64 re) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 im))
(-.f64 (*.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))) im)
(*.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 26 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64)))) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 26 binary64) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 10 binary64)) #s(literal 1/14400 binary64)))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) (cos.f64 re)))
Calls

1 calls:

6.0ms
im
Results
AccuracySegmentsBranch
97.5%3im
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts
15 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1/4 binary64)
(neg.f64 im)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 8 binary64))
(*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64)))
(*.f64 (cos.f64 re) (neg.f64 im))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) im) (cos.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 #s(literal -2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (-.f64 (+.f64 (cos.f64 re) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 im))
(-.f64 (*.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))) im)
(*.f64 #s(literal 1/2 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))
Outputs
(*.f64 (cos.f64 re) (neg.f64 im))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
Calls

1 calls:

6.0ms
im
Results
AccuracySegmentsBranch
88.9%2im
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes15.0ms (0.2%)

Counts
9 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1/4 binary64)
(neg.f64 im)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 8 binary64))
(*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64)))
(*.f64 (cos.f64 re) (neg.f64 im))
Outputs
(*.f64 (cos.f64 re) (neg.f64 im))
(*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64)))
Calls

3 calls:

8.0ms
re
3.0ms
im
3.0ms
(cos.f64 re)
Results
AccuracySegmentsBranch
52.8%1re
52.8%1(cos.f64 re)
77.4%2im
Compiler

Compiled 10 to 7 computations (30% saved)

regimes4.0ms (0%)

Counts
8 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1/4 binary64)
(neg.f64 im)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 8 binary64))
(*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64)))
Outputs
(neg.f64 im)
(*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64)))
Calls

1 calls:

3.0ms
im
Results
AccuracySegmentsBranch
55.9%2im
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts
7 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1/4 binary64)
(neg.f64 im)
(*.f64 #s(literal 1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 8 binary64))
Outputs
(neg.f64 im)
Calls

2 calls:

3.0ms
re
3.0ms
im
Results
AccuracySegmentsBranch
30.7%1re
30.7%1im
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Accuracy

Total -1.4b remaining (-2.3%)

Threshold costs -1.4b (-2.3%)

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

2 calls:

2.0ms
re
1.0ms
im
Results
AccuracySegmentsBranch
3.7%1im
3.7%1re
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.22672727883621357
-0.0030892951390982804
Compiler

Compiled 17 to 16 computations (5.9% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.22672727883621357
-0.0030892951390982804
Compiler

Compiled 17 to 16 computations (5.9% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0030892951390982804
-0.00011373276901061047
Compiler

Compiled 17 to 16 computations (5.9% saved)

bsearch20.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
0.5318073840019479
28211185.17041331
Results
13.0ms144×0valid
Compiler

Compiled 278 to 223 computations (19.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-cos: 3.0ms (36% of total)
ival-exp: 2.0ms (24% of total)
ival-mult: 2.0ms (24% of total)
ival-sub: 1.0ms (12% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch45.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
2.2345070918929003e+57
9.176632542856247e+61
24.0ms
0.5318073840019479
28211185.17041331
Results
29.0ms272×0valid
Compiler

Compiled 411 to 341 computations (17% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-cos: 6.0ms (38.8% of total)
ival-exp: 4.0ms (25.9% of total)
ival-mult: 3.0ms (19.4% of total)
ival-sub: 2.0ms (12.9% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch44.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
1.882906241973986e+98
9.700877478948933e+102
21.0ms
0.5318073840019479
28211185.17041331
Results
28.0ms272×0valid
Compiler

Compiled 459 to 373 computations (18.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-cos: 7.0ms (39.9% of total)
ival-exp: 4.0ms (22.8% of total)
ival-mult: 4.0ms (22.8% of total)
ival-sub: 2.0ms (11.4% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch22.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
0.5318073840019479
28211185.17041331
Results
15.0ms144×0valid
Compiler

Compiled 170 to 142 computations (16.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-cos: 3.0ms (35.4% of total)
ival-exp: 2.0ms (23.6% of total)
ival-mult: 2.0ms (23.6% of total)
ival-sub: 1.0ms (11.8% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch22.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
0.5318073840019479
28211185.17041331
Results
13.0ms144×0valid
Compiler

Compiled 161 to 133 computations (17.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-exp: 3.0ms (34.3% of total)
ival-cos: 3.0ms (34.3% of total)
ival-mult: 2.0ms (22.9% of total)
ival-sub: 1.0ms (11.4% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch16.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
0.11312222100503683
0.5318073840019479
Results
11.0ms96×0valid
Compiler

Compiled 95 to 82 computations (13.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-cos: 2.0ms (35.2% of total)
ival-sub: 1.0ms (17.6% of total)
ival-exp: 1.0ms (17.6% of total)
ival-mult: 1.0ms (17.6% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify15.0ms (0.2%)

Algorithm
egg-herbie
Rules
29×*-commutative
12×sub-neg
11×+-commutative
neg-sub0
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095906
1137906
2156906
3167906
4173906
5174906
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #s(literal -3602879701896397/18014398509481984 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) im) (*.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) (pow.f64 im #s(literal 3 binary64))))))
(if (<=.f64 (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #s(literal -3602879701896397/18014398509481984 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re))))
(if (<=.f64 (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #s(literal -1152921504606847/576460752303423488 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) (cos.f64 re))))
(if (<=.f64 im #s(literal 4 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (cos.f64 re))))
(if (<=.f64 im #s(literal 6530219459687219/1125899906842624 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) (cos.f64 re))) (if (<=.f64 im #s(literal 44999999999999999863292627427270670600792979669846157862895616 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))) (*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re)))))
(if (<=.f64 im #s(literal 3039929748475085/562949953421312 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) (cos.f64 re))) (if (<=.f64 im #s(literal 7999999999999999816396106121962693027574741759393200049039967797855947617446319290426090355852092375040 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) (cos.f64 re)))))
(if (<=.f64 im #s(literal 5854679515581645/1125899906842624 binary64)) (*.f64 (cos.f64 re) (neg.f64 im)) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(if (<=.f64 im #s(literal 26000000 binary64)) (*.f64 (cos.f64 re) (neg.f64 im)) (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64))))
(if (<=.f64 im #s(literal 1170935903116329/2251799813685248 binary64)) (neg.f64 im) (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64))))
(neg.f64 im)
#s(literal -1 binary64)
Outputs
(if (<=.f64 (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #s(literal -3602879701896397/18014398509481984 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 re) (*.f64 #s(literal -2 binary64) im) (*.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) (pow.f64 im #s(literal 3 binary64))))))
(if (<=.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -3602879701896397/18014398509481984 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 re) (*.f64 im #s(literal -2 binary64)) (*.f64 (*.f64 (cos.f64 re) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64))) (pow.f64 im #s(literal 3 binary64))))))
(if (<=.f64 (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #s(literal -3602879701896397/18014398509481984 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (cos.f64 re))))
(if (<=.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -3602879701896397/18014398509481984 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))))))
(if (<=.f64 (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) im)) (exp.f64 im)) #s(literal -1152921504606847/576460752303423488 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) (cos.f64 re))))
(if (<=.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -1152921504606847/576460752303423488 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))))))
(if (<=.f64 im #s(literal 4 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) (cos.f64 re))))
(if (<=.f64 im #s(literal 4 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (-.f64 #s(literal 27 binary64) (exp.f64 im)))))
(if (<=.f64 im #s(literal 6530219459687219/1125899906842624 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) (cos.f64 re))) (if (<=.f64 im #s(literal 44999999999999999863292627427270670600792979669846157862895616 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))) (*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (cos.f64 re)))))
(if (<=.f64 im #s(literal 6530219459687219/1125899906842624 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))))) (if (<=.f64 im #s(literal 44999999999999999863292627427270670600792979669846157862895616 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))) (*.f64 #s(literal -1/120 binary64) (*.f64 (cos.f64 re) (pow.f64 im #s(literal 5 binary64))))))
(if (<=.f64 im #s(literal 3039929748475085/562949953421312 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) (cos.f64 re))) (if (<=.f64 im #s(literal 7999999999999999816396106121962693027574741759393200049039967797855947617446319290426090355852092375040 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))) (cos.f64 re)))))
(if (or (<=.f64 im #s(literal 3039929748475085/562949953421312 binary64)) (not (<=.f64 im #s(literal 7999999999999999816396106121962693027574741759393200049039967797855947617446319290426090355852092375040 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 re) (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 im im)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(if (<=.f64 im #s(literal 5854679515581645/1125899906842624 binary64)) (*.f64 (cos.f64 re) (neg.f64 im)) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(if (<=.f64 im #s(literal 5854679515581645/1125899906842624 binary64)) (*.f64 (neg.f64 im) (cos.f64 re)) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(if (<=.f64 im #s(literal 5854679515581645/1125899906842624 binary64)) (*.f64 im (neg.f64 (cos.f64 re))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(if (<=.f64 im #s(literal 26000000 binary64)) (*.f64 (cos.f64 re) (neg.f64 im)) (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64))))
(if (<=.f64 im #s(literal 26000000 binary64)) (*.f64 (neg.f64 im) (cos.f64 re)) (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64))))
(if (<=.f64 im #s(literal 26000000 binary64)) (*.f64 im (neg.f64 (cos.f64 re))) (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64))))
(if (<=.f64 im #s(literal 1170935903116329/2251799813685248 binary64)) (neg.f64 im) (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 5 binary64))))
(neg.f64 im)
#s(literal -1 binary64)

soundness1.2s (15.2%)

Rules
1398×fma-define
985×log1p-expm1-u
852×log1p-expm1-u
852×expm1-log1p-u
850×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030297
1411277
24416277
035379
1385355
24635355
014146
1174146
22641146
01642251
13962078
211022015
336081955
471221955
036324
186308
2244308
3768304
41960294
53015294
63395294
73803294
84504294
95013294
105179294
115273294
125273294
135273294
070217701
1189716553
2752716549
Stop Event
fuel
node limit
saturated
node limit
unsound
node limit
node limit
Compiler

Compiled 849 to 240 computations (71.7% saved)

preprocess85.0ms (1.1%)

Remove

(abs re)

Compiler

Compiled 878 to 402 computations (54.2% saved)

end0.0ms (0%)

Profiling

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