ENA, Section 1.4, Mentioned, A

Time bar (total: 4.7s)

analyze3.0ms (0.1%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%49.6%50.4%0%0%0%0
0%0%49.6%50.4%0%0%0%1
0%0%49.6%50.4%0%0%0%2
50%24.8%24.8%50.4%0%0%0%3
75%37.2%12.4%50.4%0%0%0%4
87.5%43.4%6.2%50.4%0%0%0%5
93.8%46.5%3.1%50.4%0%0%0%6
96.9%48.1%1.6%50.4%0%0%0%7
98.4%48.8%0.8%50.4%0%0%0%8
99.2%49.2%0.4%50.4%0%0%0%9
99.6%49.4%0.2%50.4%0%0%0%10
99.8%49.5%0.1%50.4%0%0%0%11
99.9%49.6%0%50.4%0%0%0%12
Compiler

Compiled 12 to 9 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-cos: 1.0ms (79.4% of total)
ival-sub: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-<=: 0.0ms (0% of total)

sample1.9s (40.4%)

Results
1.5s8150×1valid
5.0ms106×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-cos: 414.0ms (38.3% of total)
backward-pass: 320.0ms (29.6% of total)
ival-<=: 203.0ms (18.8% of total)
ival-sub: 112.0ms (10.4% of total)
const: 22.0ms (2% of total)
ival-and: 10.0ms (0.9% of total)
Bogosity

preprocess53.0ms (1.1%)

Algorithm
egg-herbie
Rules
16×fma-neg
11×fma-define
sub-neg
associate--r+
associate-+l-
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01360
12556
24456
36656
410656
513156
614156
714356
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 (neg.f64 x)))
(neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (neg.f64 x))))
Outputs
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (neg.f64 x))))
(neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(+.f64 #s(literal -1 binary64) (cos.f64 x))
(+.f64 (cos.f64 x) #s(literal -1 binary64))
Symmetry

(abs x)

explain91.0ms (1.9%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1320-0-(-.f64 #s(literal 1 binary64) (cos.f64 x))
00-0-x
00-0-#s(literal 1 binary64)
00-0-(cos.f64 x)
Results
68.0ms508×1valid
0.0ms0valid
Compiler

Compiled 25 to 14 computations (44% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-cos: 20.0ms (56.4% of total)
backward-pass: 8.0ms (22.6% of total)
ival-sub: 6.0ms (16.9% of total)
const: 1.0ms (2.8% of total)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
53.3%
(-.f64 #s(literal 1 binary64) (cos.f64 x))
Compiler

Compiled 5 to 4 computations (20% saved)

localize48.0ms (1%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 x)
cost-diff0
(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy100.0%
(cos.f64 x)
accuracy53.3%
(-.f64 #s(literal 1 binary64) (cos.f64 x))
Rules
sub-neg
fma-define
+-commutative
1-exp
associate--r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0927
11627
22027
32727
43427
54427
65527
76727
87027
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
Outputs
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
Results
32.0ms254×1valid
0.0ms0valid
Compiler

Compiled 10 to 5 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-cos: 11.0ms (57.3% of total)
backward-pass: 4.0ms (20.8% of total)
ival-sub: 3.0ms (15.6% of total)
const: 1.0ms (5.2% of total)

series5.0ms (0.1%)

Counts
2 → 8
Calls
Call 1
Inputs
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 x))>
#<alt (cos.f64 x)>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))>
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(- 1 (cos x))
0.0ms
x
@0
(cos x)
0.0ms
x
@-inf
(- 1 (cos x))
0.0ms
x
@inf
(- 1 (cos x))
0.0ms
x
@inf
(cos x)

rewrite209.0ms (4.4%)

Algorithm
batch-egg-rewrite
Rules
361×log1p-expm1-u
361×expm1-log1p-u
344×add-exp-log
330×add-log-exp
329×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0922
18222
295422
Stop Event
node limit
Counts
2 → 98
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
Outputs
(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(+.f64 (log.f64 (E.f64)) (neg.f64 (cos.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (cbrt.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log1p.f64 (neg.f64 (cos.f64 x))))
(pow.f64 (/.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) #s(literal 2 binary64))) (cbrt.f64 (log1p.f64 (neg.f64 (cos.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (neg.f64 (cos.f64 x))))) (sqrt.f64 (log1p.f64 (neg.f64 (cos.f64 x)))))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 (neg.f64 (cos.f64 x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 (neg.f64 (cos.f64 x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (neg.f64 (cos.f64 x)))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (cos.f64 x))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (cos.f64 x)) (neg.f64 (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (neg.f64 (cos.f64 x))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (cos.f64 x))) (sqrt.f64 (neg.f64 (cos.f64 x))) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal 1 binary64))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) (cos.f64 x))
(+.f64 (*.f64 (cos.f64 (+.f64 #s(literal 1 binary64) x)) (cos.f64 #s(literal 1 binary64))) (*.f64 (sin.f64 (+.f64 #s(literal 1 binary64) x)) (sin.f64 #s(literal 1 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 (cos.f64 x) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 x)))
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (cos.f64 x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (cos.f64 x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cos.f64 x))
(*.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 x) (cbrt.f64 (cos.f64 x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (cos.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cos.f64 x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (cos.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (cbrt.f64 (cos.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (cos.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (cos.f64 x))))
(pow.f64 (cos.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (cos.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cos.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (cos.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cos.f64 x)))) (sqrt.f64 (log.f64 (cos.f64 x))))
(sqrt.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 x)))
(cbrt.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 x)))
(log1p.f64 (expm1.f64 (cos.f64 x)))
(exp.f64 (log.f64 (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 x))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64))

simplify113.0ms (2.4%)

Algorithm
egg-herbie
Rules
694×unswap-sqr
514×fma-define
425×distribute-lft-in
393×distribute-rgt-in
324×times-frac
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02782859
15322715
214462649
358202558
Stop Event
node limit
Counts
106 → 147
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(+.f64 (log.f64 (E.f64)) (neg.f64 (cos.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (cbrt.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log1p.f64 (neg.f64 (cos.f64 x))))
(pow.f64 (/.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) #s(literal 2 binary64))) (cbrt.f64 (log1p.f64 (neg.f64 (cos.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (neg.f64 (cos.f64 x))))) (sqrt.f64 (log1p.f64 (neg.f64 (cos.f64 x)))))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 (neg.f64 (cos.f64 x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 (neg.f64 (cos.f64 x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (neg.f64 (cos.f64 x)))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (cos.f64 x))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (cos.f64 x)) (neg.f64 (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (neg.f64 (cos.f64 x))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (cos.f64 x))) (sqrt.f64 (neg.f64 (cos.f64 x))) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal 1 binary64))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) (cos.f64 x))
(+.f64 (*.f64 (cos.f64 (+.f64 #s(literal 1 binary64) x)) (cos.f64 #s(literal 1 binary64))) (*.f64 (sin.f64 (+.f64 #s(literal 1 binary64) x)) (sin.f64 #s(literal 1 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 (cos.f64 x) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 x)))
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (cos.f64 x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (cos.f64 x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cos.f64 x))
(*.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 x) (cbrt.f64 (cos.f64 x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (cos.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cos.f64 x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (cos.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (cbrt.f64 (cos.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (cos.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (cos.f64 x))))
(pow.f64 (cos.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (cos.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cos.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (cos.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cos.f64 x)))) (sqrt.f64 (log.f64 (cos.f64 x))))
(sqrt.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 x)))
(cbrt.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 x)))
(log1p.f64 (expm1.f64 (cos.f64 x)))
(exp.f64 (log.f64 (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 x))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64))
Outputs
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64))) #s(literal -1/24 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/720 binary64) (fma.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #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 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/720 binary64))) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #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 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) (fma.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 (log.f64 (E.f64)) (neg.f64 (cos.f64 x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
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(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (neg.f64 (cos.f64 x)))) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(fma.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (cos.f64 x))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(fma.f64 (sqrt.f64 (cos.f64 x)) (neg.f64 (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (neg.f64 (cos.f64 x))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(fma.f64 (sqrt.f64 (neg.f64 (cos.f64 x))) (sqrt.f64 (neg.f64 (cos.f64 x))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 #s(literal 0 binary64) (cos.f64 x))
(cos.f64 x)
(+.f64 (*.f64 (cos.f64 (+.f64 #s(literal 1 binary64) x)) (cos.f64 #s(literal 1 binary64))) (*.f64 (sin.f64 (+.f64 #s(literal 1 binary64) x)) (sin.f64 #s(literal 1 binary64))))
(fma.f64 (cos.f64 (+.f64 x #s(literal 1 binary64))) (cos.f64 #s(literal 1 binary64)) (*.f64 (sin.f64 (+.f64 x #s(literal 1 binary64))) (sin.f64 #s(literal 1 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(cos.f64 x)
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(cos.f64 x)
(*.f64 (cos.f64 x) (log.f64 (E.f64)))
(cos.f64 x)
(*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)))
(cos.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 x)))
(cos.f64 x)
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))
(cos.f64 x)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (cos.f64 x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (cos.f64 x))) #s(literal 3 binary64)))
(cos.f64 x)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cos.f64 x))
(cos.f64 x)
(*.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 x) (cbrt.f64 (cos.f64 x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (cos.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (cbrt.f64 (cos.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (cos.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (cos.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (cos.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cos.f64 x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (cos.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (cos.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (cbrt.f64 (cos.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (cos.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (cos.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (cos.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (cos.f64 x))))
(pow.f64 (cos.f64 x) #s(literal 1 binary64))
(cos.f64 x)
(pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 3 binary64))
(cos.f64 x)
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(cos.f64 x)
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(cos.f64 x)
(pow.f64 (sqrt.f64 (cos.f64 x)) #s(literal 2 binary64))
(cos.f64 x)
(pow.f64 (E.f64) (log.f64 (cos.f64 x)))
(cos.f64 x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cos.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (cos.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cos.f64 x)))) (sqrt.f64 (log.f64 (cos.f64 x))))
(sqrt.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(cos.f64 x)
(log.f64 (exp.f64 (cos.f64 x)))
(cos.f64 x)
(cbrt.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)))
(cos.f64 x)
(expm1.f64 (log1p.f64 (cos.f64 x)))
(cos.f64 x)
(log1p.f64 (expm1.f64 (cos.f64 x)))
(cos.f64 x)
(exp.f64 (log.f64 (cos.f64 x)))
(cos.f64 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 x))) #s(literal 3 binary64)))
(cos.f64 x)
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(cos.f64 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 x))) #s(literal 2 binary64)))
(cos.f64 x)
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64))
(cos.f64 x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64))
(cos.f64 x)
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64))
(cos.f64 x)

eval20.0ms (0.4%)

Compiler

Compiled 1715 to 450 computations (73.8% saved)

prune22.0ms (0.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1434147
Fresh000
Picked011
Done000
Total1435148
Accuracy
100.0%
Counts
148 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.3%
(-.f64 #s(literal 1 binary64) (cos.f64 x))
52.8%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
4.1%
(+.f64 #s(literal 1 binary64) (cos.f64 x))
100.0%
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
99.7%
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
Compiler

Compiled 28 to 22 computations (21.4% saved)

localize136.0ms (2.9%)

Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff128
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
cost-diff0
(cos.f64 x)
cost-diff0
(+.f64 #s(literal 1 binary64) (cos.f64 x))
cost-diff0
(/.f64 x #s(literal 2 binary64))
cost-diff0
(tan.f64 (/.f64 x #s(literal 2 binary64)))
cost-diff0
(sin.f64 x)
cost-diff0
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
cost-diff0
(pow.f64 x #s(literal 2 binary64))
cost-diff0
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
accuracy100.0%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy100.0%
(cos.f64 x)
accuracy100.0%
(/.f64 x #s(literal 2 binary64))
accuracy100.0%
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
accuracy100.0%
(tan.f64 (/.f64 x #s(literal 2 binary64)))
accuracy100.0%
(sin.f64 x)
accuracy100.0%
(pow.f64 x #s(literal 2 binary64))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
Rules
*-commutative
1-exp
1-exp
+-commutative
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0932
11132
21532
31732
01164
11264
0927
11527
052
1102
Stop Event
saturated
saturated
saturated
saturated
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(literal 0 binary64)
#s(literal 1 binary64)
Call 2
Inputs
(+.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
Outputs
(+.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
Call 3
Inputs
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(sin.f64 x)
x
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(sin.f64 x)
x
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
Call 4
Inputs
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1/2 binary64)
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
Outputs
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1/2 binary64)
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
Results
48.0ms256×0valid
Compiler

Compiled 43 to 14 computations (67.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 9.0ms (38.4% of total)
ival-pow: 3.0ms (12.8% of total)
ival-div: 2.0ms (8.5% of total)
ival-sin: 2.0ms (8.5% of total)
ival-tan: 2.0ms (8.5% of total)
ival-cos: 2.0ms (8.5% of total)
ival-add: 1.0ms (4.3% of total)
ival-sub: 1.0ms (4.3% of total)
const: 1.0ms (4.3% of total)
backward-pass: 0.0ms (0% of total)

series11.0ms (0.2%)

Counts
8 → 44
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (sin.f64 x)>
#<alt (tan.f64 (/.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))>
#<alt (/.f64 x #s(literal 2 binary64))>
#<alt (+.f64 #s(literal 1 binary64) (cos.f64 x))>
#<alt (-.f64 #s(literal 1 binary64) #s(literal 1 binary64))>
Outputs
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))>
#<alt (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))>
Calls

21 calls:

TimeVariablePointExpression
1.0ms
x
@0
(* (sin x) (tan (/ x 2)))
1.0ms
x
@inf
(tan (/ x 2))
1.0ms
x
@0
(* 1/2 (pow x 2))
1.0ms
x
@-inf
(tan (/ x 2))
1.0ms
x
@0
(sin x)

rewrite136.0ms (2.9%)

Algorithm
batch-egg-rewrite
Rules
892×log1p-expm1-u
892×expm1-log1p-u
479×log-prod
174×pow-to-exp
169×expm1-undefine
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019100
1214100
22528100
Stop Event
node limit
Counts
8 → 200
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(sin.f64 x)
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 x #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
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(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(exp.f64 (log1p.f64 (cos.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 (cos.f64 x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 (cos.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (cos.f64 x))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) #s(literal 1 binary64))
(fma.f64 (cos.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) #s(literal 1 binary64))
#s(literal 0 binary64)

simplify159.0ms (3.4%)

Algorithm
egg-herbie
Rules
817×prod-exp
365×fma-neg
358×exp-prod
235×associate-*r*
235×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05125562
110015350
231295172
361625172
Stop Event
node limit
Counts
244 → 274
Calls
Call 1
Inputs
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) x))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x))
(*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(+.f64 #s(literal 0 binary64) (sin.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) (cbrt.f64 (exp.f64 (sin.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) #s(literal 1 binary64))
(-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (cos.f64 #s(literal 1 binary64))) (*.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (sin.f64 #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(literal 1 binary64))
(*.f64 (sin.f64 x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (sin.f64 x))
(*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 x)))
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))
(pow.f64 (sin.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 x))))
(cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 x)))
(log1p.f64 (expm1.f64 (sin.f64 x)))
(exp.f64 (log.f64 (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (sin.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 x))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (cbrt.f64 (exp.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64))
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal -2 binary64)))))
(*.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (/.f64 x #s(literal -2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (/.f64 x #s(literal -2 binary64))))
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (cos.f64 (/.f64 x #s(literal -2 binary64)))))
(/.f64 (-.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (sin.f64 #s(literal 1 binary64))) (+.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (cos.f64 #s(literal 1 binary64))))
(pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))
(pow.f64 (/.f64 (cos.f64 (/.f64 x #s(literal -2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(neg.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 1 binary64))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (/.f64 x #s(literal -2 binary64))))
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (cos.f64 (/.f64 x #s(literal -2 binary64))))
(pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (exp.f64 x))))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x)))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(*.f64 (neg.f64 x) #s(literal -1/2 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 x #s(literal -2 binary64)))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (sqrt.f64 (exp.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) x))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) x)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(exp.f64 (log1p.f64 (cos.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 (cos.f64 x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 (cos.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (cos.f64 x))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) #s(literal 1 binary64))
(fma.f64 (cos.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) #s(literal 1 binary64))
#s(literal 0 binary64)
Outputs
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64)))))
(+.f64 x (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)))))
(+.f64 x (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/240 binary64))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 17/40320 binary64))))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64))) #s(literal -1/24 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
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(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (cos.f64 x)))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 3 binary64))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (cos.f64 x)))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (cos.f64 x)))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (cos.f64 x)))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(pow.f64 (/.f64 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (cos.f64 x)))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (cos.f64 x)))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)))))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (cos.f64 x)))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (cos.f64 x)))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (cos.f64 x)))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (cos.f64 x)))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(exp.f64 (log1p.f64 (cos.f64 x)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (cos.f64 x)))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 (cos.f64 x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (cos.f64 x)))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 (cos.f64 x))) #s(literal 1/3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (cos.f64 x)))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (cos.f64 x))) #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (cos.f64 x)))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (cos.f64 x)))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(fma.f64 (cos.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (cos.f64 x)))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(fma.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (cos.f64 x)))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 x)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (cos.f64 x)))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (cos.f64 x)))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 0 binary64)

eval41.0ms (0.9%)

Compiler

Compiled 3715 to 1008 computations (72.9% saved)

prune70.0ms (1.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New3234327
Fresh000
Picked314
Done011
Total3266332
Accuracy
100.0%
Counts
332 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.3%
(-.f64 #s(literal 1 binary64) (cos.f64 x))
99.7%
(*.f64 (sin.f64 x) (*.f64 x #s(literal 1/2 binary64)))
100.0%
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
99.7%
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
4.1%
#s(literal 2 binary64)
52.8%
#s(literal 0 binary64)
Compiler

Compiled 30 to 23 computations (23.3% saved)

localize57.0ms (1.2%)

Algorithm
egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(literal 1/2 binary64))
cost-diff0
(sin.f64 x)
cost-diff0
(*.f64 (sin.f64 x) (*.f64 x #s(literal 1/2 binary64)))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
accuracy100.0%
(*.f64 (sin.f64 x) (*.f64 x #s(literal 1/2 binary64)))
accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
accuracy100.0%
(sin.f64 x)
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
Rules
*-commutative
associate-*r*
associate-*l*
*-commutative
associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011
011
0837
11137
21437
01046
11446
22146
32346
Stop Event
saturated
saturated
saturated
saturated
Calls
Call 1
Inputs
(*.f64 (sin.f64 x) (*.f64 x #s(literal 1/2 binary64)))
(sin.f64 x)
x
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
Outputs
(*.f64 (sin.f64 x) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(*.f64 x (*.f64 (sin.f64 x) #s(literal 1/2 binary64)))
(sin.f64 x)
x
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
Call 2
Inputs
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
#s(literal 1/2 binary64)
(*.f64 x x)
x
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
#s(literal 1/2 binary64)
(*.f64 x x)
x
Call 3
Inputs
#s(literal 2 binary64)
Outputs
#s(literal 2 binary64)
Call 4
Inputs
#s(literal 0 binary64)
Outputs
#s(literal 0 binary64)
Results
23.0ms256×0valid
Compiler

Compiled 27 to 10 computations (63% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 8.0ms (72.7% of total)
ival-sin: 2.0ms (18.2% of total)
const: 1.0ms (9.1% of total)
backward-pass: 0.0ms (0% of total)

series8.0ms (0.2%)

Counts
4 → 48
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x x))>
#<alt (*.f64 x x)>
#<alt (*.f64 x #s(literal 1/2 binary64))>
#<alt (*.f64 (sin.f64 x) (*.f64 x #s(literal 1/2 binary64)))>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/12 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (*.f64 #s(literal -1/10080 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/12 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))>
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(* (sin x) (* x 1/2))
1.0ms
x
@inf
(* (sin x) (* x 1/2))
0.0ms
x
@0
(* (sin x) (* x 1/2))
0.0ms
x
@0
(* 1/2 (* x x))
0.0ms
x
@inf
(* 1/2 (* x x))

rewrite85.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
591×unpow-prod-down
520×log1p-expm1-u
520×expm1-log1p-u
446×pow1
342×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01259
112959
2149359
Stop Event
node limit
Counts
4 → 113
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(*.f64 x x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 (sin.f64 x) (*.f64 x #s(literal 1/2 binary64)))
Outputs
(+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/2 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (log.f64 (*.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (log.f64 x)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 6 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (log.f64 x)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x)))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (*.f64 #s(literal 1/2 binary64) x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)))) (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (sqrt.f64 (exp.f64 x)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) x)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (sin.f64 x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (sin.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (sin.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 x (sin.f64 x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))))) (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x))))))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (sin.f64 x)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (sin.f64 x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (log.f64 (sin.f64 x))))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (log.f64 (sin.f64 x)) (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64)) (log.f64 (*.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))))

simplify128.0ms (2.7%)

Algorithm
egg-herbie
Rules
642×distribute-rgt-out
621×fma-define
607×associate-*r*
580×associate-*l*
373×prod-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02914294970399
15274294970383
211784294970383
352554294970383
Stop Event
node limit
Counts
161 → 133
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/12 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (*.f64 #s(literal -1/10080 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/12 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))
(+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/2 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (log.f64 (*.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (log.f64 x)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 6 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (log.f64 x)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x)))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (*.f64 #s(literal 1/2 binary64) x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)))) (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (sqrt.f64 (exp.f64 x)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) x)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (sin.f64 x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (sin.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (sin.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 x (sin.f64 x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))))) (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x))))))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (sin.f64 x)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (sin.f64 x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (log.f64 (sin.f64 x))))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (log.f64 (sin.f64 x)) (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64)) (log.f64 (*.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))))
Outputs
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/12 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/12 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/12 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (*.f64 #s(literal -1/10080 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/12 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/10080 binary64))) #s(literal -1/12 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/240 binary64) (fma.f64 #s(literal -1/10080 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/12 binary64))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/2 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))))
(log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (log.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (log.f64 x)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 x #s(literal 2 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 6 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(pow.f64 x #s(literal 2 binary64))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(pow.f64 x #s(literal 2 binary64))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (log.f64 x)))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(pow.f64 x #s(literal 2 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x)))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)))) (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(log.f64 (sqrt.f64 (exp.f64 x)))
(*.f64 #s(literal 1/2 binary64) x)
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(cbrt.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) x)
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) x)
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) x)
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (sin.f64 x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (sin.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (sin.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (sin.f64 x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))) #s(literal 3 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(pow.f64 (*.f64 (pow.f64 (*.f64 x (sin.f64 x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))))) (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))) (sqrt.f64 (log.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(log.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (sin.f64 x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (sin.f64 x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x))))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x))))) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x))))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(exp.f64 (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (log.f64 (sin.f64 x))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(exp.f64 (+.f64 (log.f64 (sin.f64 x)) (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64)) (log.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 x)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))

eval20.0ms (0.4%)

Compiler

Compiled 1842 to 525 computations (71.5% saved)

prune27.0ms (0.6%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1692171
Fresh000
Picked224
Done022
Total1716177
Accuracy
100.0%
Counts
177 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.3%
(-.f64 #s(literal 1 binary64) (cos.f64 x))
99.7%
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 x #s(literal 1/2 binary64)))
100.0%
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
99.7%
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
4.1%
#s(literal 2 binary64)
52.8%
#s(literal 0 binary64)
Compiler

Compiled 37 to 29 computations (21.6% saved)

localize137.0ms (2.9%)

Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff-6144
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
cost-diff0
(*.f64 x #s(literal 1/2 binary64))
cost-diff0
(pow.f64 x #s(literal 2 binary64))
cost-diff0
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
cost-diff0
(*.f64 x #s(literal 1/2 binary64))
cost-diff0
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
accuracy100.0%
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 x #s(literal 1/2 binary64)))
accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
accuracy100.0%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
accuracy99.8%
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
accuracy100.0%
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
Rules
115×associate-*r*
104×fma-define
82×associate-*l*
37×distribute-rgt-in
37×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0834
11234
21334
015143
137128
284119
3218119
4441116
5496116
6501116
Stop Event
saturated
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
x
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(literal 1 binary64)
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal -1/6 binary64)
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
Outputs
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 x #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 x (*.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
x
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal -1/6 binary64)
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
Call 2
Inputs
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
x
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
Outputs
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
x
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
Results
30.0ms256×0valid
Compiler

Compiled 57 to 13 computations (77.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 9.0ms (57.7% of total)
ival-pow: 4.0ms (25.6% of total)
ival-add: 1.0ms (6.4% of total)
const: 1.0ms (6.4% of total)
backward-pass: 0.0ms (0% of total)

series7.0ms (0.1%)

Counts
4 → 33
Calls
Call 1
Inputs
#<alt (*.f64 x (*.f64 x #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 x #s(literal 1/2 binary64)))>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt x>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/12 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/12 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/12 binary64)))>
#<alt (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/12 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/12 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/12 binary64)))>
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@0
(* x (+ 1 (* -1/6 (pow x 2))))
1.0ms
x
@inf
(* x (+ 1 (* -1/6 (pow x 2))))
0.0ms
x
@inf
(* (* x (+ 1 (* -1/6 (pow x 2)))) (* x 1/2))
0.0ms
x
@inf
(* -1/6 (pow x 2))
0.0ms
x
@-inf
(* x (+ 1 (* -1/6 (pow x 2))))

rewrite120.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
880×log1p-expm1-u
880×expm1-log1p-u
539×log-prod
404×prod-diff
388×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
016109
119796
2255789
Stop Event
node limit
Counts
4 → 161
Calls
Call 1
Inputs
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 x #s(literal 1/2 binary64)))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(log.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/6 binary64)) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/6 binary64)) (pow.f64 x #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/6 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -1/6 binary64)) (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -1/6 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/216 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal -1/6 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/6 binary64)) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/216 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1/6 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1/6 binary64)))) #s(literal -1 binary64))
(fma.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/216 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))
(+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(+.f64 x (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))) (cbrt.f64 (exp.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))) (-.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (*.f64 x (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/216 binary64) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/216 binary64) #s(literal 1 binary64)) x) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))) x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))))
(log.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (exp.f64 x)))
(log.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))
(exp.f64 (log.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/6 binary64) x) x)
(fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))) x x)
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))) (*.f64 (cbrt.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))) x) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(fma.f64 (*.f64 x (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 (*.f64 x (sqrt.f64 #s(literal -1/6 binary64))) x) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (cbrt.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))) (cbrt.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) x)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) x)
(fma.f64 (*.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 #s(literal -1/6 binary64)))) (*.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 #s(literal -1/6 binary64)))) x)
(fma.f64 (*.f64 (*.f64 x (sqrt.f64 #s(literal -1/6 binary64))) (sqrt.f64 x)) (*.f64 (*.f64 x (sqrt.f64 #s(literal -1/6 binary64))) (sqrt.f64 x)) x)
(fma.f64 (*.f64 x #s(literal -1/6 binary64)) (pow.f64 x #s(literal 2 binary64)) x)
(fma.f64 (*.f64 x (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))) (cbrt.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(fma.f64 (*.f64 x (*.f64 x (sqrt.f64 #s(literal -1/6 binary64)))) (*.f64 x (sqrt.f64 #s(literal -1/6 binary64))) x)
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x)
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) (sqrt.f64 x) x)
(+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1/2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (*.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) x (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) x (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) x) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) x) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 1/2 binary64))))

simplify141.0ms (3%)

Algorithm
egg-herbie
Rules
609×fma-neg
421×cancel-sign-sub-inv
396×*-commutative
373×distribute-lft-in
372×exp-prod
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03556790
17356485
218666457
347165481
Stop Event
node limit
Counts
194 → 213
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
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(fma.f64 (*.f64 x (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))) (cbrt.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(fma.f64 (*.f64 x (*.f64 x (sqrt.f64 #s(literal -1/6 binary64)))) (*.f64 x (sqrt.f64 #s(literal -1/6 binary64))) x)
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) x)
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 x)) (sqrt.f64 x) x)
(+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1/2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (*.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) x (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) x (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) x) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) x) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 1/2 binary64))))
Outputs
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
x
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/12 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/12 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))
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(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) x) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/12 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/12 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/12 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/12 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/12 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/12 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) x) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/12 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/12 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/12 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/12 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/12 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/12 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/12 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/12 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/12 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/12 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/12 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/12 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/12 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/12 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))

eval37.0ms (0.8%)

Compiler

Compiled 4785 to 930 computations (80.6% saved)

prune41.0ms (0.9%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New2911292
Fresh000
Picked112
Done044
Total2926298
Accuracy
100.0%
Counts
298 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.3%
(-.f64 #s(literal 1 binary64) (cos.f64 x))
99.7%
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) (*.f64 x #s(literal 1/2 binary64)))
100.0%
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
99.7%
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
4.1%
#s(literal 2 binary64)
52.8%
#s(literal 0 binary64)
Compiler

Compiled 105 to 57 computations (45.7% saved)

regimes6.0ms (0.1%)

Counts
12 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (sin.f64 x) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
Outputs
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
Calls

3 calls:

3.0ms
x
1.0ms
(cos.f64 x)
1.0ms
(-.f64 #s(literal 1 binary64) (cos.f64 x))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(-.f64 #s(literal 1 binary64) (cos.f64 x))
100.0%1(cos.f64 x)
Compiler

Compiled 10 to 7 computations (30% saved)

regimes6.0ms (0.1%)

Counts
11 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (sin.f64 x) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 x #s(literal 1/2 binary64)))
Outputs
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) (*.f64 x #s(literal 1/2 binary64)))
Calls

3 calls:

4.0ms
x
1.0ms
(-.f64 #s(literal 1 binary64) (cos.f64 x))
1.0ms
(cos.f64 x)
Results
AccuracySegmentsBranch
99.7%1x
99.7%1(-.f64 #s(literal 1 binary64) (cos.f64 x))
99.7%1(cos.f64 x)
Compiler

Compiled 10 to 7 computations (30% saved)

regimes2.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
Outputs
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
99.7%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
99.7%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -31.6b remaining (-104.6%)

Threshold costs -31.6b (-104.6%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
Outputs
#s(literal 0 binary64)
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
52.8%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative
1-exp
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023115
135115
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
#s(literal 0 binary64)
Outputs
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
#s(literal 0 binary64)

soundness696.0ms (14.7%)

Rules
892×log1p-expm1-u
892×expm1-log1p-u
817×prod-exp
694×unswap-sqr
514×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019100
1214100
22528100
05125562
110015350
231295172
361625172
02782859
15322715
214462649
358202558
0922
18222
295422
Stop Event
fuel
node limit
node limit
node limit
node limit
Compiler

Compiled 208 to 83 computations (60.1% saved)

preprocess167.0ms (3.5%)

Remove

(abs x)

Compiler

Compiled 144 to 94 computations (34.7% saved)

end0.0ms (0%)

Profiling

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