sqrt times

Time bar (total: 4.4s)

analyze2.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%50%0%0%50%0%2
50%25%25%0%0%50%0%3
66.7%25%12.5%0%0%62.5%0%4
80%25%6.2%0%0%68.7%0%5
88.9%25%3.1%0%0%71.8%0%6
94.1%25%1.6%0%0%73.4%0%7
97%25%0.8%0%0%74.2%0%8
98.5%25%0.4%0%0%74.6%0%9
99.2%25%0.2%0%0%74.8%0%10
99.6%25%0.1%0%0%74.9%0%11
99.8%25%0%0%0%74.9%0%12
Compiler

Compiled 9 to 7 computations (22.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-sub: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
const: 0.0ms (0% of total)
ival-sqrt: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample636.0ms (14.6%)

Results
434.0ms8245×0valid
1.0ms11×1valid
0.0ms11×0invalid
Precisions
Click to see histograms. Total time spent on operations: 267.0ms
ival-sqrt: 138.0ms (51.6% of total)
ival-mult: 59.0ms (22.1% of total)
ival-sub: 57.0ms (21.3% of total)
const: 11.0ms (4.1% of total)
backward-pass: 3.0ms (1.1% of total)
Bogosity

preprocess68.0ms (1.6%)

Algorithm
egg-herbie
Rules
42×fma-define
18×sub-neg
11×+-commutative
*-commutative
associate-+l-
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
017128
136124
255120
375120
4101120
5133120
6154120
7170120
8195120
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 x)))
(neg.f64 (*.f64 (sqrt.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 x))))
Outputs
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 x)))
(*.f64 (sqrt.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64))) (sqrt.f64 (neg.f64 x)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (sqrt.f64 (neg.f64 x)))
(*.f64 (sqrt.f64 (-.f64 #s(literal -1 binary64) x)) (sqrt.f64 (neg.f64 x)))
(neg.f64 (*.f64 (sqrt.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 x))))
(*.f64 (sqrt.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (neg.f64 x))))
(*.f64 (sqrt.f64 (neg.f64 x)) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (neg.f64 x)) (neg.f64 (sqrt.f64 (-.f64 #s(literal -1 binary64) x))))

explain109.0ms (2.5%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-#s(literal 1 binary64)
00-0-(-.f64 x #s(literal 1 binary64))
00-0-(sqrt.f64 (-.f64 x #s(literal 1 binary64)))
00-0-(sqrt.f64 x)
00-0-(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
86.0ms512×0valid
Compiler

Compiled 48 to 20 computations (58.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-mult: 58.0ms (83.8% of total)
ival-sqrt: 7.0ms (10.1% of total)
ival-sub: 3.0ms (4.3% of total)
const: 1.0ms (1.4% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Compiler

Compiled 8 to 6 computations (25% saved)

localize33.0ms (0.7%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 x)
cost-diff0
(-.f64 x #s(literal 1 binary64))
cost-diff0
(sqrt.f64 (-.f64 x #s(literal 1 binary64)))
cost-diff0
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
accuracy100.0%
(-.f64 x #s(literal 1 binary64))
accuracy100.0%
(sqrt.f64 (-.f64 x #s(literal 1 binary64)))
accuracy100.0%
(sqrt.f64 x)
accuracy99.2%
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Rules
1-exp
*-commutative
sub-neg
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01164
12064
22164
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt.f64 (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(sqrt.f64 x)
Outputs
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
(sqrt.f64 (-.f64 x #s(literal 1 binary64)))
(sqrt.f64 (+.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal 1 binary64))
(+.f64 x #s(literal -1 binary64))
x
#s(literal 1 binary64)
(sqrt.f64 x)
Results
18.0ms256×0valid
Compiler

Compiled 20 to 7 computations (65% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sqrt: 4.0ms (52.3% of total)
ival-sub: 2.0ms (26.1% of total)
ival-mult: 2.0ms (26.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series7.0ms (0.2%)

Counts
4 → 37
Calls
Call 1
Inputs
#<alt (*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))>
#<alt (sqrt.f64 x)>
#<alt (sqrt.f64 (-.f64 x #s(literal 1 binary64)))>
#<alt (-.f64 x #s(literal 1 binary64))>
Outputs
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (+.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))))>
#<alt x>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))) x))))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x))) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (sqrt.f64 #s(literal -1 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x (+.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (sqrt.f64 x)>
#<alt (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))>
#<alt (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))))>
#<alt (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
#<alt #s(literal -1 binary64)>
#<alt x>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))>
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@0
(* (sqrt (- x 1)) (sqrt x))
1.0ms
x
@-inf
(sqrt (- x 1))
1.0ms
x
@-inf
(* (sqrt (- x 1)) (sqrt x))
1.0ms
x
@inf
(sqrt (- x 1))
1.0ms
x
@-inf
(sqrt x)

rewrite245.0ms (5.6%)

Algorithm
batch-egg-rewrite
Rules
504×unpow-prod-down
471×log1p-expm1-u
471×expm1-log1p-u
447×add-exp-log
397×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01155
112555
2142355
Stop Event
node limit
Counts
4 → 172
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt.f64 x)
(sqrt.f64 (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
Outputs
(+.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))))))
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))))) (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
(sqrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 3/2 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 (sqrt.f64 x) (log.f64 (E.f64)))
(*.f64 (pow.f64 x #s(literal 1/6 binary64)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 x) (pow.f64 (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 x #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 x #s(literal 1/4 binary64))))
(pow.f64 x #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (sqrt.f64 x)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sqrt.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 x)))) (sqrt.f64 (log.f64 (sqrt.f64 x))))
(fabs.f64 (sqrt.f64 x))
(log.f64 (exp.f64 (sqrt.f64 x)))
(cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 x)))
(exp.f64 (log.f64 (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))))))
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (log.f64 (E.f64)))
(*.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/6 binary64)) (cbrt.f64 (+.f64 x #s(literal -1 binary64))))
(*.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))) (pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 5/6 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64))) (pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/6 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 5/4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64))))
(/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (hypot.f64 x (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (+.f64 x #s(literal -1 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))))))
(fabs.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)))
(+.f64 x #s(literal -1 binary64))
(+.f64 x (log.f64 (exp.f64 #s(literal -1 binary64))))
(+.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))))))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))
(*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 x #s(literal -1 binary64)) (log.f64 (E.f64)))
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(*.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3/4 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 5/6 binary64)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3/4 binary64)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (+.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (+.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64)))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/6 binary64)) #s(literal 6 binary64))
(pow.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (E.f64) (log.f64 (+.f64 x #s(literal -1 binary64))))
(pow.f64 (/.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (+.f64 x #s(literal -1 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x #s(literal -1 binary64))))) (sqrt.f64 (log.f64 (+.f64 x #s(literal -1 binary64)))))
(sqrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))))
(cbrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log.f64 x))
(log1p.f64 (expm1.f64 (+.f64 x #s(literal -1 binary64))))
(exp.f64 (log.f64 (+.f64 x #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 1/3 binary64)))
(fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal -1 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))

simplify526.0ms (12.1%)

Algorithm
egg-herbie
Rules
877×fmm-def
295×associate-/r*
260×times-frac
249×prod-exp
192×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
05247045
111136149
230715302
370445288
Stop Event
node limit
Counts
209 → 276
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))))
(+.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))))
x
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))) x))))
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
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(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(*.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3/4 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 5/6 binary64)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3/4 binary64)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (+.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (+.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64)))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/6 binary64)) #s(literal 6 binary64))
(pow.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (E.f64) (log.f64 (+.f64 x #s(literal -1 binary64))))
(pow.f64 (/.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (+.f64 x #s(literal -1 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x #s(literal -1 binary64))))) (sqrt.f64 (log.f64 (+.f64 x #s(literal -1 binary64)))))
(sqrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))))
(cbrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log.f64 x))
(log1p.f64 (expm1.f64 (+.f64 x #s(literal -1 binary64))))
(exp.f64 (log.f64 (+.f64 x #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 1/3 binary64)))
(fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal -1 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))
Outputs
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(+.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) (neg.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))))))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))
x
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(+.f64 x #s(literal -1/2 binary64))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)))
(-.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1 binary64) x)
(*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) x))))
(*.f64 x (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -1/2 binary64) x)))
(+.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) (pow.f64 x #s(literal 2 binary64)))) x))
(*.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(+.f64 x #s(literal -1/2 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)))
(-.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x))) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(neg.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x)) x) (*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 x (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) x))))
(-.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 x)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 x)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 x)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 x)
(sqrt.f64 #s(literal -1 binary64))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))))))
(fma.f64 x (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64)))
(fma.f64 x (+.f64 (*.f64 x (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x (+.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x (fma.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))))))
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x
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(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
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(*.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3/4 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 x (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
(*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x #s(literal -1 binary64))
(*.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 5/6 binary64)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/6 binary64)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 5/6 binary64)))
(*.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3/4 binary64)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 x #s(literal -1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x #s(literal -1 binary64))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (+.f64 x #s(literal -1 binary64))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x #s(literal -1 binary64))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (+.f64 x #s(literal -1 binary64))))
(*.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 4 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 5 binary64))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/6 binary64)) (cbrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 5/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 4 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64)))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 x (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 x (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64)))))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 x (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 x (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
(pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/6 binary64)) #s(literal 6 binary64))
(pow.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) #s(literal 2/3 binary64))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x #s(literal -1 binary64))
(pow.f64 (E.f64) (log.f64 (+.f64 x #s(literal -1 binary64))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 x (fma.f64 x x #s(literal 1 binary64))))
(pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (+.f64 x #s(literal -1 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x #s(literal -1 binary64))))) (sqrt.f64 (log.f64 (+.f64 x #s(literal -1 binary64)))))
(sqrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x #s(literal -1 binary64))
(log.f64 (exp.f64 (+.f64 x #s(literal -1 binary64))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x #s(literal -1 binary64))
(cbrt.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x #s(literal -1 binary64))
(expm1.f64 (log.f64 x))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x #s(literal -1 binary64))
(log1p.f64 (expm1.f64 (+.f64 x #s(literal -1 binary64))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x #s(literal -1 binary64))
(exp.f64 (log.f64 (+.f64 x #s(literal -1 binary64))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x #s(literal -1 binary64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x #s(literal -1 binary64))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x #s(literal -1 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x #s(literal -1 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 1/3 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x #s(literal -1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal -1 binary64))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x #s(literal -1 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal -1 binary64))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x #s(literal -1 binary64))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal -1 binary64))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(+.f64 x #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal 5/6 binary64)) (pow.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1 binary64))

eval39.0ms (0.9%)

Compiler

Compiled 4287 to 1040 computations (75.7% saved)

prune32.0ms (0.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New2733276
Fresh000
Picked101
Done000
Total2743277
Accuracy
100.0%
Counts
277 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1 binary64)))
99.9%
(+.f64 x #s(literal -1/2 binary64))
99.4%
x
Compiler

Compiled 16 to 12 computations (25% saved)

localize105.0ms (2.4%)

Algorithm
egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1/8 binary64) x)
cost-diff0
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))
cost-diff128
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1 binary64))
cost-diff128
(-.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1 binary64)))
cost-diff0
(+.f64 x #s(literal -1/2 binary64))
accuracy100.0%
(/.f64 #s(literal 1/8 binary64) x)
accuracy100.0%
(-.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1 binary64)))
accuracy100.0%
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))
accuracy100.0%
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1 binary64))
accuracy100.0%
(+.f64 x #s(literal -1/2 binary64))
Rules
103×fmm-def
61×fma-define
35×sub-neg
24×associate-+l-
23×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01493
12993
25393
39893
414393
522993
631593
745393
851393
953093
Stop Event
saturated
Calls
Call 1
Inputs
x
(+.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
(-.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1 binary64)))
x
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/8 binary64) x)
#s(literal 1/8 binary64)
#s(literal 1 binary64)
Outputs
x
(+.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
(-.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1 binary64)))
(-.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(-.f64 (-.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x))
(+.f64 (/.f64 #s(literal -1/8 binary64) x) (+.f64 x #s(literal -1/2 binary64)))
x
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/8 binary64) x)
#s(literal 1/8 binary64)
#s(literal 1 binary64)
Results
68.0ms256×0valid
Compiler

Compiled 36 to 11 computations (69.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-add: 3.0ms (32.4% of total)
ival-div: 2.0ms (21.6% of total)
ival-mult: 2.0ms (21.6% of total)
ival-sub: 1.0ms (10.8% of total)
const: 1.0ms (10.8% of total)
backward-pass: 0.0ms (0% of total)

series3.0ms (0.1%)

Counts
5 → 48
Calls
Call 1
Inputs
#<alt (+.f64 x #s(literal -1/2 binary64))>
#<alt (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1 binary64))>
#<alt (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))>
#<alt (-.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal 1/8 binary64) x)>
Outputs
#<alt #s(literal -1/2 binary64)>
#<alt (-.f64 x #s(literal 1/2 binary64))>
#<alt (-.f64 x #s(literal 1/2 binary64))>
#<alt (-.f64 x #s(literal 1/2 binary64))>
#<alt x>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))>
#<alt (/.f64 #s(literal 1/8 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)>
#<alt (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)>
#<alt (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 #s(literal 1/8 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)>
#<alt (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)>
#<alt (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 #s(literal -1/8 binary64) x)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/8 binary64)) x)>
#<alt (/.f64 (-.f64 (*.f64 x (-.f64 x #s(literal 1/2 binary64))) #s(literal 1/8 binary64)) x)>
#<alt (/.f64 (-.f64 (*.f64 x (-.f64 x #s(literal 1/2 binary64))) #s(literal 1/8 binary64)) x)>
#<alt x>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))) x))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))>
Calls

15 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/ 1/8 x)
0.0ms
x
@0
(* (+ 1/2 (/ 1/8 x)) 1)
0.0ms
x
@-inf
(- x (* (+ 1/2 (/ 1/8 x)) 1))
0.0ms
x
@inf
(* (+ 1/2 (/ 1/8 x)) 1)
0.0ms
x
@-inf
(* (+ 1/2 (/ 1/8 x)) 1)

rewrite324.0ms (7.4%)

Algorithm
batch-egg-rewrite
Rules
889×log1p-expm1-u
889×expm1-log1p-u
605×prod-diff
354×log-prod
308×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01477
117977
2233977
Stop Event
node limit
Counts
5 → 226
Calls
Call 1
Inputs
(+.f64 x #s(literal -1/2 binary64))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))
(-.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1/8 binary64) x)
Outputs
(-.f64 x #s(literal 1/2 binary64))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 x #s(literal 1/2 binary64))))
(*.f64 (+.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (+.f64 x #s(literal -1/2 binary64))) (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (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 (sqrt.f64 (+.f64 x #s(literal -1/2 binary64))) (sqrt.f64 (+.f64 x #s(literal -1/2 binary64))))
(*.f64 (+.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/2 binary64)))))
(*.f64 (fma.f64 x x #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/2 binary64))) (+.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1/2 binary64)) (fma.f64 x x #s(literal -1/4 binary64))))
(/.f64 (+.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(/.f64 (+.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 x x #s(literal -1/4 binary64)) (+.f64 x #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1/4 binary64))) (neg.f64 (+.f64 x #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal -1/2 binary64) x))
(pow.f64 (+.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (+.f64 x #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (+.f64 x #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal -1/2 binary64))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal -1/2 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal -1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))
(+.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64))
(+.f64 (/.f64 #s(literal 1/8 binary64) x) (log.f64 (exp.f64 #s(literal 1/2 binary64))))
(+.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(+.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/8 binary64) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))) (cbrt.f64 (exp.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) (/.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) x) (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) x) (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/16 binary64) x))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) x) (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))))
(/.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1/8 binary64) x) (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))))
(exp.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1/8 binary64) x)) (cbrt.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) (/.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))))
(*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/8 binary64) x) (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) x) (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) x) (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
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(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1/8 binary64) x))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (+.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1/8 binary64) x))))
(fma.f64 (sqrt.f64 (-.f64 (+.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x))) (sqrt.f64 (-.f64 (+.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x))) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))))
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(fma.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1/8 binary64) x))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (+.f64 (+.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x)) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (+.f64 (+.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x)) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))))
(fma.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1/8 binary64) x))) #s(literal 1 binary64) x)
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x))) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))))
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(fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)
(fma.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) x)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1/8 binary64) x)))) (cbrt.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1/8 binary64) x))))) (cbrt.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1/8 binary64) x)))) x)
(fma.f64 (sqrt.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1/8 binary64) x)))) (sqrt.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1/8 binary64) x)))) x)
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(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1/8 binary64) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) x))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/8 binary64) x)) (cbrt.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1/8 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x)))
(*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/8 binary64))
(pow.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1/8 binary64) x)) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x #s(literal 8 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -1/8 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 1/8 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/8 binary64) x))))
(cbrt.f64 (/.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/8 binary64) x)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1/8 binary64) x)))
(exp.f64 (log.f64 (/.f64 #s(literal 1/8 binary64) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1 binary64)))

simplify490.0ms (11.2%)

Algorithm
egg-herbie
Rules
689×times-frac
490×fmm-def
364×associate-+r+
317×associate-+l+
276×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04299307
19128559
230087468
Stop Event
node limit
Counts
274 → 243
Calls
Call 1
Inputs
#s(literal -1/2 binary64)
(-.f64 x #s(literal 1/2 binary64))
(-.f64 x #s(literal 1/2 binary64))
(-.f64 x #s(literal 1/2 binary64))
x
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(/.f64 #s(literal 1/8 binary64) x)
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1/8 binary64) x)
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))
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(fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) #s(literal -1 binary64) x)
(fma.f64 (-.f64 (+.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))))
(fma.f64 (-.f64 (+.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))))
(fma.f64 (cbrt.f64 (-.f64 (+.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x))) (pow.f64 (cbrt.f64 (-.f64 (+.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x))) #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))))
(fma.f64 (cbrt.f64 (-.f64 (+.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x))) (pow.f64 (cbrt.f64 (-.f64 (+.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (+.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (+.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x))) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (+.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (+.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1/8 binary64) x))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (+.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1/8 binary64) x))))
(fma.f64 (sqrt.f64 (-.f64 (+.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x))) (sqrt.f64 (-.f64 (+.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x))) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))))
(fma.f64 (sqrt.f64 (-.f64 (+.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x))) (sqrt.f64 (-.f64 (+.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1/8 binary64) x))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (+.f64 (+.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x)) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (+.f64 (+.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x)) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))))
(fma.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1/8 binary64) x))) #s(literal 1 binary64) x)
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x))) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))))
(fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)
(fma.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) x)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1/8 binary64) x)))) (cbrt.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1/8 binary64) x))))) (cbrt.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1/8 binary64) x)))) x)
(fma.f64 (sqrt.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1/8 binary64) x)))) (sqrt.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1/8 binary64) x)))) x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) x)
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/8 binary64) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1/8 binary64) x))) (cbrt.f64 (exp.f64 (/.f64 #s(literal 1/8 binary64) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1/8 binary64) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1/8 binary64) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1/8 binary64) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1/8 binary64) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) x))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/8 binary64) x)) (cbrt.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1/8 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x)))
(*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/8 binary64))
(pow.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1/8 binary64) x)) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x #s(literal 8 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -1/8 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 1/8 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/8 binary64) x))))
(cbrt.f64 (/.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/8 binary64) x)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1/8 binary64) x)))
(exp.f64 (log.f64 (/.f64 #s(literal 1/8 binary64) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1 binary64)))
Outputs
#s(literal -1/2 binary64)
(-.f64 x #s(literal 1/2 binary64))
(+.f64 #s(literal -1/2 binary64) x)
(-.f64 x #s(literal 1/2 binary64))
(+.f64 #s(literal -1/2 binary64) x)
(-.f64 x #s(literal 1/2 binary64))
(+.f64 #s(literal -1/2 binary64) x)
x
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal -1/2 binary64) x)
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal -1/2 binary64) x)
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal -1/2 binary64) x)
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(+.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(+.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(+.f64 #s(literal -1/2 binary64) x)
(/.f64 #s(literal 1/8 binary64) x)
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/8 binary64)) x)
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/8 binary64)) x)
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/8 binary64)) x)
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))
(/.f64 #s(literal 1/8 binary64) x)
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/8 binary64)) x)
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/8 binary64)) x)
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/8 binary64)) x)
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))
(/.f64 #s(literal -1/8 binary64) x)
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/8 binary64)) x)
(/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/8 binary64)) x)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) x))
(/.f64 (-.f64 (*.f64 x (-.f64 x #s(literal 1/2 binary64))) #s(literal 1/8 binary64)) x)
(/.f64 (fma.f64 x (+.f64 #s(literal -1/2 binary64) x) #s(literal -1/8 binary64)) x)
(-.f64 (+.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/8 binary64) x))
(/.f64 (-.f64 (*.f64 x (-.f64 x #s(literal 1/2 binary64))) #s(literal 1/8 binary64)) x)
(/.f64 (fma.f64 x (+.f64 #s(literal -1/2 binary64) x) #s(literal -1/8 binary64)) x)
(-.f64 (+.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/8 binary64) x))
x
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal -1/2 binary64) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))) x))))
(/.f64 (fma.f64 x (+.f64 #s(literal -1/2 binary64) x) #s(literal -1/8 binary64)) x)
(-.f64 (+.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/8 binary64) x))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))) x))))
(/.f64 (fma.f64 x (+.f64 #s(literal -1/2 binary64) x) #s(literal -1/8 binary64)) x)
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x
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(/.f64 (fma.f64 x (+.f64 #s(literal -1/2 binary64) x) #s(literal -1/8 binary64)) x)
(-.f64 (+.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/8 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))) x)
(/.f64 (fma.f64 x (+.f64 #s(literal -1/2 binary64) x) #s(literal -1/8 binary64)) x)
(-.f64 (+.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/8 binary64) x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1/8 binary64) x))))
(/.f64 (fma.f64 x (+.f64 #s(literal -1/2 binary64) x) #s(literal -1/8 binary64)) x)
(-.f64 (+.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/8 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (+.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1/8 binary64) x))))
(/.f64 (fma.f64 x (+.f64 #s(literal -1/2 binary64) x) #s(literal -1/8 binary64)) x)
(-.f64 (+.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/8 binary64) x))
(fma.f64 (sqrt.f64 (-.f64 (+.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x))) (sqrt.f64 (-.f64 (+.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x))) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))))
(/.f64 (fma.f64 x (+.f64 #s(literal -1/2 binary64) x) #s(literal -1/8 binary64)) x)
(-.f64 (+.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/8 binary64) x))
(fma.f64 (sqrt.f64 (-.f64 (+.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x))) (sqrt.f64 (-.f64 (+.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))))
(/.f64 (fma.f64 x (+.f64 #s(literal -1/2 binary64) x) #s(literal -1/8 binary64)) x)
(-.f64 (+.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/8 binary64) x))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))) x)
(/.f64 (fma.f64 x (+.f64 #s(literal -1/2 binary64) x) #s(literal -1/8 binary64)) x)
(-.f64 (+.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/8 binary64) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1/8 binary64) x))))
(/.f64 (fma.f64 x (+.f64 #s(literal -1/2 binary64) x) #s(literal -1/8 binary64)) x)
(-.f64 (+.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/8 binary64) x))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (+.f64 (+.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x)) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (+.f64 (/.f64 #s(literal 1/8 binary64) x) (+.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (+.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 #s(literal 1/8 binary64) x))) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/8 binary64)))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (+.f64 (+.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x)) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (+.f64 (/.f64 #s(literal 1/8 binary64) x) (+.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (+.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 #s(literal 1/8 binary64) x))) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/8 binary64)))))
(fma.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1/8 binary64) x))) #s(literal 1 binary64) x)
(/.f64 (fma.f64 x (+.f64 #s(literal -1/2 binary64) x) #s(literal -1/8 binary64)) x)
(-.f64 (+.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/8 binary64) x))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x))) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) x) (+.f64 x #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 #s(literal 1/8 binary64) x))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/8 binary64) x)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) x) (+.f64 x #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 #s(literal 1/8 binary64) x))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/8 binary64) x)))
(fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)
(/.f64 (fma.f64 x (+.f64 #s(literal -1/2 binary64) x) #s(literal -1/8 binary64)) x)
(-.f64 (+.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/8 binary64) x))
(fma.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) x)
(/.f64 (fma.f64 x (+.f64 #s(literal -1/2 binary64) x) #s(literal -1/8 binary64)) x)
(-.f64 (+.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/8 binary64) x))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1/8 binary64) x)))) (cbrt.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1/8 binary64) x))))) (cbrt.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1/8 binary64) x)))) x)
(/.f64 (fma.f64 x (+.f64 #s(literal -1/2 binary64) x) #s(literal -1/8 binary64)) x)
(-.f64 (+.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/8 binary64) x))
(fma.f64 (sqrt.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1/8 binary64) x)))) (sqrt.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1/8 binary64) x)))) x)
(/.f64 (fma.f64 x (+.f64 #s(literal -1/2 binary64) x) #s(literal -1/8 binary64)) x)
(-.f64 (+.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/8 binary64) x))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))))
(/.f64 (fma.f64 x (+.f64 #s(literal -1/2 binary64) x) #s(literal -1/8 binary64)) x)
(-.f64 (+.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/8 binary64) x))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))))
(/.f64 (fma.f64 x (+.f64 #s(literal -1/2 binary64) x) #s(literal -1/8 binary64)) x)
(-.f64 (+.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/8 binary64) x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) x)
(/.f64 (fma.f64 x (+.f64 #s(literal -1/2 binary64) x) #s(literal -1/8 binary64)) x)
(-.f64 (+.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/8 binary64) x))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/8 binary64) x))
(/.f64 #s(literal 1/8 binary64) x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1/8 binary64) x))) (cbrt.f64 (exp.f64 (/.f64 #s(literal 1/8 binary64) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 1/8 binary64) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1/8 binary64) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1/8 binary64) x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 1/8 binary64) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1/8 binary64) x))) #s(literal 1 binary64))
(/.f64 #s(literal 1/8 binary64) x)
(*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1/8 binary64) x)
(*.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1/8 binary64) x)
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) x))
(/.f64 #s(literal 1/8 binary64) x)
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/8 binary64) x)) (cbrt.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1/8 binary64) x)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/8 binary64) x)) (cbrt.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x)))
(/.f64 #s(literal 1/8 binary64) x)
(*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 #s(literal 1/8 binary64) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/8 binary64))
(/.f64 #s(literal 1/8 binary64) x)
(pow.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1/8 binary64) x)
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1/8 binary64) x)) #s(literal 3 binary64))
(/.f64 #s(literal 1/8 binary64) x)
(pow.f64 (/.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64))
(cbrt.f64 (/.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3 binary64))))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64))
(/.f64 #s(literal 1/8 binary64) x)
(pow.f64 (*.f64 x #s(literal 8 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1/8 binary64) x)
(neg.f64 (/.f64 #s(literal -1/8 binary64) x))
(/.f64 #s(literal 1/8 binary64) x)
(sqrt.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 1/8 binary64) x)))
(/.f64 #s(literal 1/8 binary64) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/8 binary64) x))))
(/.f64 #s(literal 1/8 binary64) x)
(cbrt.f64 (/.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/8 binary64) x)))
(/.f64 #s(literal 1/8 binary64) x)
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1/8 binary64) x)))
(/.f64 #s(literal 1/8 binary64) x)
(exp.f64 (log.f64 (/.f64 #s(literal 1/8 binary64) x)))
(/.f64 #s(literal 1/8 binary64) x)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1/8 binary64) x)

eval37.0ms (0.9%)

Compiler

Compiled 4149 to 670 computations (83.9% saved)

prune232.0ms (5.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2421243
Fresh000
Picked123
Done000
Total2433246
Accuracy
100.0%
Counts
246 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (+.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/8 binary64) x))
99.9%
(+.f64 x #s(literal -1/2 binary64))
99.4%
x
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize96.0ms (2.2%)

Algorithm
egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1/8 binary64) x)
cost-diff0
(+.f64 #s(literal -1/2 binary64) x)
cost-diff0
(-.f64 (+.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/8 binary64) x))
accuracy100.0%
(/.f64 #s(literal 1/8 binary64) x)
accuracy100.0%
(-.f64 (+.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/8 binary64) x))
accuracy100.0%
(+.f64 #s(literal -1/2 binary64) x)
Rules
99×fmm-def
96×fma-define
41×sub-neg
31×cancel-sign-sub-inv
25×associate--r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01051
11651
23251
35451
48651
513351
621651
731351
844051
954051
1061551
1162451
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (+.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/8 binary64) x))
(+.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
(/.f64 #s(literal 1/8 binary64) x)
#s(literal 1/8 binary64)
Outputs
(-.f64 (+.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/8 binary64) x))
(+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal -1/8 binary64) x)))
(+.f64 (+.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/8 binary64) x))
(+.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
(/.f64 #s(literal 1/8 binary64) x)
#s(literal 1/8 binary64)
Results
19.0ms256×0valid
Compiler

Compiled 18 to 7 computations (61.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (36.1% of total)
ival-add: 2.0ms (36.1% of total)
ival-sub: 1.0ms (18% of total)
const: 1.0ms (18% of total)
backward-pass: 0.0ms (0% of total)

series1.0ms (0%)

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

6 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(- (+ -1/2 x) (/ 1/8 x))
0.0ms
x
@-inf
(+ -1/2 x)
0.0ms
x
@inf
(- (+ -1/2 x) (/ 1/8 x))
0.0ms
x
@0
(- (+ -1/2 x) (/ 1/8 x))
0.0ms
x
@inf
(+ -1/2 x)

rewrite533.0ms (12.2%)

Algorithm
batch-egg-rewrite
Rules
825×prod-diff
751×log1p-expm1-u
751×expm1-log1p-u
302×fma-define
285×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01035
112035
2193235
Stop Event
node limit
Counts
2 → 178
Calls
Call 1
Inputs
(+.f64 #s(literal -1/2 binary64) x)
(-.f64 (+.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/8 binary64) x))
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal -1/2 binary64) x)))
(*.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 (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 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) x) (-.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)) (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)) (fma.f64 x x (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal -1/2 binary64) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -1/2 binary64) x)))
(/.f64 (fma.f64 x x #s(literal -1/4 binary64)) (-.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))
(sqrt.f64 (pow.f64 (+.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal -1/2 binary64) 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)))
(fma.f64 x #s(literal 1 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal -1/2 binary64))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal -1/2 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal -1/8 binary64) x)))
(+.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 x (/.f64 #s(literal -1/8 binary64) x)) #s(literal 1 binary64)))
(+.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)))
(+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(+.f64 (+.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/8 binary64) x))
(+.f64 (+.f64 #s(literal -1/2 binary64) x) (*.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal -1/8 binary64) x))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(+.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal -1/8 binary64) x))) (fma.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(+.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal -1/8 binary64) x))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 #s(literal 1/8 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) x)))
(+.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal -1/8 binary64) x))) (+.f64 (/.f64 #s(literal -1/8 binary64) x) (/.f64 #s(literal 1/8 binary64) x)))
(+.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal -1/8 binary64) x))) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/8 binary64) x) (/.f64 #s(literal 1/8 binary64) x)))
(+.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal -1/8 binary64) x))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (/.f64 #s(literal 1/8 binary64) x)) (/.f64 #s(literal 1/8 binary64) x)))
(+.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal -1/8 binary64) x))) (fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/8 binary64) x)))
(+.f64 (/.f64 #s(literal -1/8 binary64) x) (+.f64 #s(literal -1/2 binary64) x))
(+.f64 (+.f64 x (/.f64 #s(literal -1/8 binary64) x)) #s(literal -1/2 binary64))
(+.f64 #s(literal 0 binary64) (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal -1/8 binary64) x))))
(+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1/8 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x))) #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1/8 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) x) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1/8 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x))) #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1/8 binary64))))
(+.f64 (fma.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)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1/8 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x))) #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1/8 binary64))))
(+.f64 (fma.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)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1/8 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x))) #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1/8 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (+.f64 #s(literal -1/2 binary64) x)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1/8 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x))) #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1/8 binary64))))
(+.f64 (fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1/8 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x))) #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1/8 binary64))))
(+.f64 (fma.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) x)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1/8 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x))) #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1/8 binary64))))
(+.f64 (log.f64 (exp.f64 #s(literal -1/2 binary64))) (+.f64 x (/.f64 #s(literal -1/8 binary64) x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal -1/8 binary64) x))))) (cbrt.f64 (exp.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal -1/8 binary64) x))))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal -1/8 binary64) x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal -1/8 binary64) x)))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal -1/8 binary64) x)))))))
(*.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal -1/8 binary64) x))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal -1/8 binary64) x))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal -1/8 binary64) x))))
(*.f64 (cbrt.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal -1/8 binary64) x)))) (pow.f64 (cbrt.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal -1/8 binary64) x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal -1/8 binary64) x)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal -1/8 binary64) x)))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal -1/8 binary64) x)))) (sqrt.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal -1/8 binary64) x)))))
(*.f64 (-.f64 (pow.f64 (+.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (/.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/8 binary64) x) (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal 1/8 binary64) x))) (pow.f64 (+.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (+.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal 1/8 binary64) x)))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) x) (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal 1/8 binary64) x))) (pow.f64 (+.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (/.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal 1/8 binary64) x))) (-.f64 (pow.f64 (+.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (/.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) x) (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal 1/8 binary64) x))) (pow.f64 (+.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal 1/8 binary64) x))))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)) x) (*.f64 (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/8 binary64))) (*.f64 (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) x))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)) (*.f64 x #s(literal 8 binary64))) (*.f64 (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (*.f64 x #s(literal 8 binary64))))
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(fma.f64 (-.f64 (pow.f64 (+.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (/.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/8 binary64) x) (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal 1/8 binary64) x))) (pow.f64 (+.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal -1/8 binary64) x) (/.f64 #s(literal 1/8 binary64) x)))
(fma.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1/8 binary64) x))
(fma.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) x)) (*.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 (+.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal 1/8 binary64) x)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(fma.f64 (-.f64 (pow.f64 (+.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal 1/8 binary64) x)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(fma.f64 (-.f64 (pow.f64 (+.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal 1/8 binary64) x)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 #s(literal 1/8 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) x)))
(fma.f64 (-.f64 (pow.f64 (+.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal 1/8 binary64) x)))) (+.f64 (/.f64 #s(literal -1/8 binary64) x) (/.f64 #s(literal 1/8 binary64) x)))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x)) (+.f64 #s(literal -1/2 binary64) x))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/8 binary64) x) (+.f64 #s(literal -1/2 binary64) x))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal -1/8 binary64) x)) (cbrt.f64 (/.f64 #s(literal -1/8 binary64) x))) (cbrt.f64 (/.f64 #s(literal -1/8 binary64) x)) (+.f64 #s(literal -1/2 binary64) x))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 x (/.f64 #s(literal -1/8 binary64) x))) (cbrt.f64 (+.f64 x (/.f64 #s(literal -1/8 binary64) x)))) (cbrt.f64 (+.f64 x (/.f64 #s(literal -1/8 binary64) x))) #s(literal -1/2 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal -1/8 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1/8 binary64) x)) (+.f64 #s(literal -1/2 binary64) x))
(fma.f64 (sqrt.f64 (+.f64 x (/.f64 #s(literal -1/8 binary64) x))) (sqrt.f64 (+.f64 x (/.f64 #s(literal -1/8 binary64) x))) #s(literal -1/2 binary64))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x))) #s(literal -1/2 binary64))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x))) (fma.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 #s(literal 1/8 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) x)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x))) (+.f64 (/.f64 #s(literal -1/8 binary64) x) (/.f64 #s(literal 1/8 binary64) x)))
(fma.f64 (neg.f64 (cbrt.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (/.f64 #s(literal 1/8 binary64) x)) (+.f64 #s(literal -1/2 binary64) x))

simplify140.0ms (3.2%)

Algorithm
egg-herbie
Rules
443×associate-+l+
407×associate-+r+
333×fmm-def
216×cancel-sign-sub-inv
183×div-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03968394
19537967
231496910
Stop Event
node limit
Counts
202 → 241
Calls
Call 1
Inputs
#s(literal -1/2 binary64)
(-.f64 x #s(literal 1/2 binary64))
(-.f64 x #s(literal 1/2 binary64))
(-.f64 x #s(literal 1/2 binary64))
x
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(/.f64 #s(literal -1/8 binary64) x)
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/8 binary64)) x)
(/.f64 (-.f64 (*.f64 x (-.f64 x #s(literal 1/2 binary64))) #s(literal 1/8 binary64)) x)
(/.f64 (-.f64 (*.f64 x (-.f64 x #s(literal 1/2 binary64))) #s(literal 1/8 binary64)) x)
x
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))) x))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal -1/2 binary64) x)))
(*.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 (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 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) x) (-.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)) (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)) (fma.f64 x x (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) x))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal -1/2 binary64) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -1/2 binary64) x)))
(/.f64 (fma.f64 x x #s(literal -1/4 binary64)) (-.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))
(sqrt.f64 (pow.f64 (+.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal -1/2 binary64) 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)))
(fma.f64 x #s(literal 1 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal -1/2 binary64))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal -1/2 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal -1/8 binary64) x)))
(+.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 x (/.f64 #s(literal -1/8 binary64) x)) #s(literal 1 binary64)))
(+.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)))
(+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(+.f64 (+.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/8 binary64) x))
(+.f64 (+.f64 #s(literal -1/2 binary64) x) (*.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal -1/8 binary64) x))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(+.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal -1/8 binary64) x))) (fma.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(+.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal -1/8 binary64) x))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 #s(literal 1/8 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) x)))
(+.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal -1/8 binary64) x))) (+.f64 (/.f64 #s(literal -1/8 binary64) x) (/.f64 #s(literal 1/8 binary64) x)))
(+.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal -1/8 binary64) x))) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/8 binary64) x) (/.f64 #s(literal 1/8 binary64) x)))
(+.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal -1/8 binary64) x))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (/.f64 #s(literal 1/8 binary64) x)) (/.f64 #s(literal 1/8 binary64) x)))
(+.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal -1/8 binary64) x))) (fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/8 binary64) x)))
(+.f64 (/.f64 #s(literal -1/8 binary64) x) (+.f64 #s(literal -1/2 binary64) x))
(+.f64 (+.f64 x (/.f64 #s(literal -1/8 binary64) x)) #s(literal -1/2 binary64))
(+.f64 #s(literal 0 binary64) (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal -1/8 binary64) x))))
(+.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1/8 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x))) #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1/8 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) x) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1/8 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x))) #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1/8 binary64))))
(+.f64 (fma.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)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1/8 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x))) #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1/8 binary64))))
(+.f64 (fma.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)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1/8 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x))) #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1/8 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (+.f64 #s(literal -1/2 binary64) x)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1/8 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x))) #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1/8 binary64))))
(+.f64 (fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1/8 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x))) #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1/8 binary64))))
(+.f64 (fma.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) x)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1/8 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x))) #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1/8 binary64))))
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(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x))) (+.f64 #s(literal -1/2 binary64) x))
(fma.f64 (sqrt.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal -1/8 binary64) x)))) (sqrt.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal -1/8 binary64) x)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(fma.f64 (sqrt.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal -1/8 binary64) x)))) (sqrt.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal -1/8 binary64) x)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(fma.f64 (sqrt.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal -1/8 binary64) x)))) (sqrt.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal -1/8 binary64) x)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 #s(literal 1/8 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) x)))
(fma.f64 (sqrt.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal -1/8 binary64) x)))) (sqrt.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal -1/8 binary64) x)))) (+.f64 (/.f64 #s(literal -1/8 binary64) x) (/.f64 #s(literal 1/8 binary64) x)))
(fma.f64 (sqrt.f64 (+.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (+.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1/8 binary64) x))
(fma.f64 (sqrt.f64 (+.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (+.f64 #s(literal -1/2 binary64) x)) (*.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1/2 binary64) x))
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal -1/8 binary64) x))
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 (+.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (/.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/8 binary64) x) (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal 1/8 binary64) x))) (pow.f64 (+.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(fma.f64 (-.f64 (pow.f64 (+.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (/.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/8 binary64) x) (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal 1/8 binary64) x))) (pow.f64 (+.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(fma.f64 (-.f64 (pow.f64 (+.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (/.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/8 binary64) x) (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal 1/8 binary64) x))) (pow.f64 (+.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 #s(literal 1/8 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) x)))
(fma.f64 (-.f64 (pow.f64 (+.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (/.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/8 binary64) x) (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal 1/8 binary64) x))) (pow.f64 (+.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal -1/8 binary64) x) (/.f64 #s(literal 1/8 binary64) x)))
(fma.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1/8 binary64) x))
(fma.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) x)) (*.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 (+.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal 1/8 binary64) x)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(fma.f64 (-.f64 (pow.f64 (+.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal 1/8 binary64) x)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(fma.f64 (-.f64 (pow.f64 (+.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal 1/8 binary64) x)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 #s(literal 1/8 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) x)))
(fma.f64 (-.f64 (pow.f64 (+.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal 1/8 binary64) x)))) (+.f64 (/.f64 #s(literal -1/8 binary64) x) (/.f64 #s(literal 1/8 binary64) x)))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x)) (+.f64 #s(literal -1/2 binary64) x))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/8 binary64) x) (+.f64 #s(literal -1/2 binary64) x))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal -1/8 binary64) x)) (cbrt.f64 (/.f64 #s(literal -1/8 binary64) x))) (cbrt.f64 (/.f64 #s(literal -1/8 binary64) x)) (+.f64 #s(literal -1/2 binary64) x))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 x (/.f64 #s(literal -1/8 binary64) x))) (cbrt.f64 (+.f64 x (/.f64 #s(literal -1/8 binary64) x)))) (cbrt.f64 (+.f64 x (/.f64 #s(literal -1/8 binary64) x))) #s(literal -1/2 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal -1/8 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1/8 binary64) x)) (+.f64 #s(literal -1/2 binary64) x))
(fma.f64 (sqrt.f64 (+.f64 x (/.f64 #s(literal -1/8 binary64) x))) (sqrt.f64 (+.f64 x (/.f64 #s(literal -1/8 binary64) x))) #s(literal -1/2 binary64))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x))) #s(literal -1/2 binary64))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x))) (fma.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 #s(literal 1/8 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) x)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x))) (+.f64 (/.f64 #s(literal -1/8 binary64) x) (/.f64 #s(literal 1/8 binary64) x)))
(fma.f64 (neg.f64 (cbrt.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (/.f64 #s(literal 1/8 binary64) x)) (+.f64 #s(literal -1/2 binary64) x))
Outputs
#s(literal -1/2 binary64)
(-.f64 x #s(literal 1/2 binary64))
(+.f64 #s(literal -1/2 binary64) x)
(-.f64 x #s(literal 1/2 binary64))
(+.f64 #s(literal -1/2 binary64) x)
(-.f64 x #s(literal 1/2 binary64))
(+.f64 #s(literal -1/2 binary64) x)
x
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal -1/2 binary64) x)
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal -1/2 binary64) x)
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal -1/2 binary64) x)
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(+.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(+.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(+.f64 #s(literal -1/2 binary64) x)
(/.f64 #s(literal -1/8 binary64) x)
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/8 binary64)) x)
(/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1/8 binary64)) x)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) x))
(/.f64 (-.f64 (*.f64 x (-.f64 x #s(literal 1/2 binary64))) #s(literal 1/8 binary64)) x)
(/.f64 (fma.f64 x (+.f64 #s(literal -1/2 binary64) x) #s(literal -1/8 binary64)) x)
(+.f64 #s(literal -1/2 binary64) (-.f64 x (/.f64 #s(literal 1/8 binary64) x)))
(/.f64 (-.f64 (*.f64 x (-.f64 x #s(literal 1/2 binary64))) #s(literal 1/8 binary64)) x)
(/.f64 (fma.f64 x (+.f64 #s(literal -1/2 binary64) x) #s(literal -1/8 binary64)) x)
(+.f64 #s(literal -1/2 binary64) (-.f64 x (/.f64 #s(literal 1/8 binary64) x)))
x
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal -1/2 binary64) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(+.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))))
(*.f64 x (neg.f64 (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 (/.f64 (*.f64 (neg.f64 x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))))
(*.f64 x (neg.f64 (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 (/.f64 (*.f64 (neg.f64 x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal -1/2 binary64) 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 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal -1/2 binary64) x)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal -1/2 binary64) x))
(/.f64 (fma.f64 x x #s(literal -1/4 binary64)) (+.f64 x #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(+.f64 #s(literal -1/2 binary64) x)
(*.f64 (+.f64 #s(literal -1/2 binary64) x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(+.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) x))
(+.f64 #s(literal -1/2 binary64) x)
(*.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 #s(literal -1/2 binary64) x)
(*.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 #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 #s(literal -1/2 binary64) x)
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 x #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) x)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal -1/2 binary64) x))
(/.f64 (fma.f64 x x #s(literal -1/4 binary64)) (+.f64 x #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 x #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) x) (-.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal -1/2 binary64) x))
(/.f64 (fma.f64 x x #s(literal -1/4 binary64)) (+.f64 x #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)) (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
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(fma.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x))) #s(literal 0 binary64))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 #s(literal 1/8 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) x)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x))) (-.f64 (/.f64 #s(literal 1/8 binary64) x) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1/8 binary64) x)))))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x))) (+.f64 (/.f64 #s(literal -1/8 binary64) x) (/.f64 #s(literal 1/8 binary64) x)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x))) (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/8 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/8 binary64) x))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (cbrt.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (/.f64 #s(literal 1/8 binary64) x)) (+.f64 #s(literal -1/2 binary64) x))
(+.f64 #s(literal -1/2 binary64) (+.f64 (+.f64 x (/.f64 #s(literal -1/8 binary64) x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 #s(literal 1/8 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) x))))
(+.f64 (+.f64 #s(literal -1/2 binary64) (-.f64 x (/.f64 #s(literal 1/8 binary64) x))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 #s(literal 1/8 binary64) x))) (cbrt.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) x)))
(-.f64 (+.f64 #s(literal -1/2 binary64) x) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/8 binary64) x)) (cbrt.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 2 binary64))))))

eval39.0ms (0.9%)

Compiler

Compiled 4535 to 639 computations (85.9% saved)

prune41.0ms (0.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2680268
Fresh000
Picked011
Done022
Total2683271
Accuracy
100.0%
Counts
271 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (+.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/8 binary64) x))
99.9%
(+.f64 x #s(literal -1/2 binary64))
99.4%
x
Compiler

Compiled 42 to 26 computations (38.1% saved)

regimes5.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
x
(+.f64 x #s(literal -1/2 binary64))
(-.f64 (+.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/8 binary64) x))
(-.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Outputs
(-.f64 (+.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/8 binary64) x))
Calls

2 calls:

2.0ms
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
2.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes2.0ms (0.1%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
99.9%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
99.4%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative
sub-neg
*-commutative
neg-sub0
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01139
11439
22339
32939
43439
53639
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (+.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/8 binary64) x))
(+.f64 x #s(literal -1/2 binary64))
x
Outputs
(-.f64 (+.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/8 binary64) x))
(+.f64 x #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) x)
x

soundness535.0ms (12.3%)

Rules
877×fmm-def
689×times-frac
490×fmm-def
364×associate-+r+
317×associate-+l+
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
05247045
111136149
230715302
370445288
04299307
19128559
230087468
Stop Event
done
node limit
node limit
Compiler

Compiled 264 to 100 computations (62.1% saved)

preprocess74.0ms (1.7%)

Compiler

Compiled 40 to 24 computations (40% saved)

end0.0ms (0%)

Profiling

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