ENA, Section 1.4, Exercise 4d

Time bar (total: 7.9s)

analyze51.0ms (0.7%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%12.8%87.2%0%0%0%0
0%0%12.8%87.2%0%0%0%1
0%0%12.8%87.2%0%0%0%2
50%6.4%6.4%87.2%0%0%0%3
57.1%6.4%4.8%87.2%0%1.6%0%4
69.2%7.2%3.2%87.2%0%2.4%0%5
75%7.2%2.4%87.2%0%3.2%0%6
82.6%7.6%1.6%87.2%0%3.6%0%7
86.4%7.6%1.2%87.2%0%4%0%8
90.7%7.8%0.8%87.2%0%4.2%0%9
92.6%7.8%0.6%87.2%0%4.4%0%10
95%7.9%0.4%87.2%0%4.5%0%11
96.3%8%0.3%87.2%0%4.5%0%12
Compiler

Compiled 25 to 17 computations (32% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-sub: 32.0ms (80.6% of total)
ival-<=: 3.0ms (7.6% of total)
ival-mult: 2.0ms (5% of total)
ival-sqrt: 2.0ms (5% of total)
ival-and: 1.0ms (2.5% of total)
const: 0.0ms (0% of total)

sample2.2s (28%)

Results
779.0ms5031×0valid
897.0ms3225×1valid
11.0ms156×0invalid
Precisions
Click to see histograms. Total time spent on operations: 917.0ms
ival-sub: 233.0ms (25.4% of total)
ival-mult: 229.0ms (25% of total)
ival-<=: 189.0ms (20.6% of total)
ival-sqrt: 108.0ms (11.8% of total)
backward-pass: 98.0ms (10.7% of total)
ival-and: 35.0ms (3.8% of total)
const: 25.0ms (2.7% of total)
Bogosity

preprocess64.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
220×fma-neg
125×fma-define
54×sub-neg
29×cancel-sign-sub-inv
29×unsub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
027269
160253
2140241
3357241
4689241
5926241
6962241
7968241
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) eps)))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) (neg.f64 eps))))
(neg.f64 (-.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) eps))))
(neg.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) (neg.f64 eps)))))
(-.f64 eps (sqrt.f64 (-.f64 (*.f64 eps eps) x)))
Outputs
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) eps)))
(-.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) (neg.f64 eps))))
(-.f64 x (sqrt.f64 (fma.f64 x x eps)))
(neg.f64 (-.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) eps))))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(neg.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) (neg.f64 eps)))))
(-.f64 (sqrt.f64 (fma.f64 x x eps)) x)
(-.f64 eps (sqrt.f64 (-.f64 (*.f64 eps eps) x)))

explain250.0ms (3.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
950-0-(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
00-0-x
00-0-(*.f64 x x)
00-0-(-.f64 (*.f64 x x) eps)
00-0-(sqrt.f64 (-.f64 (*.f64 x x) eps))
00-0-eps
Results
72.0ms402×256valid
86.0ms62×1024valid
61.0ms48×512valid
Compiler

Compiled 64 to 20 computations (68.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-sub: 7.0ms (37% of total)
ival-mult: 6.0ms (31.7% of total)
ival-sqrt: 6.0ms (31.7% of total)
const: 1.0ms (5.3% of total)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶65.6%
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
Compiler

Compiled 10 to 6 computations (40% saved)

localize40.0ms (0.5%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓100.0%
(-.f64 (*.f64 x x) eps)
✓65.7%
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
Results
19.0ms201×256valid
6.0ms31×1024valid
3.0ms24×512valid
Compiler

Compiled 27 to 7 computations (74.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-sub: 5.0ms (44.6% of total)
ival-mult: 3.0ms (26.8% of total)
ival-sqrt: 3.0ms (26.8% of total)
const: 0.0ms (0% of total)

series8.0ms (0.1%)

Counts
2 → 48
Calls
Call 1
Inputs
#<alt (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))>
#<alt (-.f64 (*.f64 x x) eps)>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 x (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 2 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) eps)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))))) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) eps)) x)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 eps #s(literal 4 binary64))) (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))))))) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 eps (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 eps (+.f64 (*.f64 eps (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 5/128 binary64) (/.f64 eps (pow.f64 x #s(literal 7 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 eps (-.f64 (/.f64 x eps) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 eps (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 x eps)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 eps (-.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (/.f64 x eps)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) eps)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) eps))) eps)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) eps)>
#<alt (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)>
#<alt (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)>
#<alt (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) eps) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) eps) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) eps) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) eps)>
#<alt (*.f64 eps (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1 binary64)))>
#<alt (*.f64 eps (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1 binary64)))>
#<alt (*.f64 eps (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) eps)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))>
Calls

12 calls:

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

rewrite340.0ms (4.3%)

Algorithm
1×batch-egg-rewrite
Rules
759×log1p-expm1-u
759×expm1-log1p-u
631×unpow-prod-down
461×fma-define
334×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01251
115051
2211449
Stop Event
1×node limit
Counts
2 → 266
Calls
Call 1
Inputs
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 (*.f64 x x) eps)
Outputs
(+.f64 x (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(+.f64 x (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) #s(literal 1 binary64)))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) #s(literal 1 binary64) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(+.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) x)
(+.f64 #s(literal 0 binary64) (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) (cbrt.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))))
(-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)))) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 3/2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(*.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) #s(literal 1 binary64))
(*.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(*.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (pow.f64 (pow.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (sqrt.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))
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(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 eps) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps))
(fma.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps))
(fma.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) (+.f64 (neg.f64 eps) eps))
(fma.f64 #s(literal 1 binary64) (neg.f64 eps) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) #s(literal 2 binary64)) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) #s(literal 2 binary64)) (+.f64 (neg.f64 eps) eps))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 (neg.f64 eps) eps))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (+.f64 (neg.f64 eps) eps))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (neg.f64 eps))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (*.f64 (neg.f64 eps) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) x) (neg.f64 eps))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) x) (*.f64 (neg.f64 eps) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (neg.f64 eps))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (neg.f64 eps) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 eps)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 3/4 binary64)) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps))
(fma.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 3/4 binary64)) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps))
(fma.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 3/4 binary64)) (+.f64 (neg.f64 eps) eps))
(fma.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 eps)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 eps))
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (neg.f64 eps) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 (pow.f64 x #s(literal 2 binary64)) eps) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps))
(fma.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 (pow.f64 x #s(literal 2 binary64)) eps) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps))
(fma.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 (pow.f64 x #s(literal 2 binary64)) eps) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (neg.f64 eps) eps))
(fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps))
(fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps))
(fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (+.f64 (neg.f64 eps) eps))
(fma.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 eps)) (cbrt.f64 (neg.f64 eps))) (cbrt.f64 (neg.f64 eps)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) (neg.f64 eps))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) (*.f64 (neg.f64 eps) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (neg.f64 eps)) (sqrt.f64 (neg.f64 eps)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) eps (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 3/4 binary64)) (sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps))
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 3/4 binary64)) (sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps))
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 3/4 binary64)) (sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 (neg.f64 eps) eps))
(fma.f64 (+.f64 x (sqrt.f64 eps)) (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps))
(fma.f64 (+.f64 x (sqrt.f64 eps)) (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps))
(fma.f64 (+.f64 x (sqrt.f64 eps)) (-.f64 x (sqrt.f64 eps)) (+.f64 (neg.f64 eps) eps))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 eps) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 x) (neg.f64 eps))
(fma.f64 (*.f64 x (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 x) (*.f64 (neg.f64 eps) #s(literal 1 binary64)))
(fma.f64 (*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps))) (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps))
(fma.f64 (*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps))) (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps))
(fma.f64 (*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps))) (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 (neg.f64 eps) eps))

simplify169.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
445×fma-neg
317×cancel-sign-sub-inv
245×unswap-sqr
241×sub-neg
233×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
07044294982148
115844294981540
245854294981200
Stop Event
1×node limit
Counts
314 → 344
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 x (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 2 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) eps)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))))) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) eps)) x)
(/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) x)
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 eps #s(literal 4 binary64))) (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))))))) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(*.f64 eps (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 eps (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 eps (+.f64 (*.f64 eps (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 5/128 binary64) (/.f64 eps (pow.f64 x #s(literal 7 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 eps (-.f64 (/.f64 x eps) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 eps (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 x eps)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 eps (-.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (/.f64 x eps)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) eps)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) eps))) eps)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 #s(literal -1 binary64) eps)
(-.f64 (pow.f64 x #s(literal 2 binary64)) eps)
(-.f64 (pow.f64 x #s(literal 2 binary64)) eps)
(-.f64 (pow.f64 x #s(literal 2 binary64)) eps)
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -1 binary64) eps) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) eps) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) eps) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) eps)
(*.f64 eps (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1 binary64)))
(*.f64 eps (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1 binary64)))
(*.f64 eps (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) eps)
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))
(+.f64 x (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
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(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 eps)) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 eps)) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 eps)) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 eps))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (exp.f64 eps)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 eps))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)))
(exp.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(fma.f64 x x (neg.f64 eps))
(fma.f64 x x (*.f64 (neg.f64 eps) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (neg.f64 eps))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (neg.f64 eps) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1 binary64) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1 binary64) (+.f64 (neg.f64 eps) eps))
(fma.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps))
(fma.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps))
(fma.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (+.f64 (neg.f64 eps) eps))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (neg.f64 eps))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 eps) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps))
(fma.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps))
(fma.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) (+.f64 (neg.f64 eps) eps))
(fma.f64 #s(literal 1 binary64) (neg.f64 eps) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) #s(literal 2 binary64)) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) #s(literal 2 binary64)) (+.f64 (neg.f64 eps) eps))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 (neg.f64 eps) eps))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (+.f64 (neg.f64 eps) eps))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (neg.f64 eps))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (*.f64 (neg.f64 eps) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) x) (neg.f64 eps))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) x) (*.f64 (neg.f64 eps) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (neg.f64 eps))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (neg.f64 eps) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 eps)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 3/4 binary64)) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps))
(fma.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 3/4 binary64)) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps))
(fma.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 3/4 binary64)) (+.f64 (neg.f64 eps) eps))
(fma.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 eps)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 eps))
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (neg.f64 eps) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 (pow.f64 x #s(literal 2 binary64)) eps) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps))
(fma.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 (pow.f64 x #s(literal 2 binary64)) eps) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps))
(fma.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 (pow.f64 x #s(literal 2 binary64)) eps) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (neg.f64 eps) eps))
(fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps))
(fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps))
(fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (+.f64 (neg.f64 eps) eps))
(fma.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 eps)) (cbrt.f64 (neg.f64 eps))) (cbrt.f64 (neg.f64 eps)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) (neg.f64 eps))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) (*.f64 (neg.f64 eps) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (neg.f64 eps)) (sqrt.f64 (neg.f64 eps)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) eps (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 3/4 binary64)) (sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps))
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 3/4 binary64)) (sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps))
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 3/4 binary64)) (sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 (neg.f64 eps) eps))
(fma.f64 (+.f64 x (sqrt.f64 eps)) (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps))
(fma.f64 (+.f64 x (sqrt.f64 eps)) (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps))
(fma.f64 (+.f64 x (sqrt.f64 eps)) (-.f64 x (sqrt.f64 eps)) (+.f64 (neg.f64 eps) eps))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 eps) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 x) (neg.f64 eps))
(fma.f64 (*.f64 x (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 x) (*.f64 (neg.f64 eps) #s(literal 1 binary64)))
(fma.f64 (*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps))) (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps))
(fma.f64 (*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps))) (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps))
(fma.f64 (*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps))) (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 (neg.f64 eps) eps))
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 x (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 x (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (/.f64 x (sqrt.f64 #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 2 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) eps)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))))) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) eps)) x)
(*.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) x)
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 eps #s(literal 1/2 binary64)))) x)
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 eps #s(literal 4 binary64))) (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))))))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (/.f64 #s(literal 5/64 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 eps #s(literal 1/2 binary64))))) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))) #s(literal -2 binary64)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))) #s(literal -2 binary64))) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))))))))
(*.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))) #s(literal -2 binary64)))) (neg.f64 x))
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
(*.f64 eps (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 eps (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) x)))
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(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps))
(-.f64 (pow.f64 x #s(literal 2 binary64)) eps)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (+.f64 (neg.f64 eps) eps))
(-.f64 (pow.f64 x #s(literal 2 binary64)) eps)
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (neg.f64 eps))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (*.f64 (neg.f64 eps) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (neg.f64 eps))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) x) (neg.f64 eps))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 x (cbrt.f64 x)) (neg.f64 eps))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) x) (*.f64 (neg.f64 eps) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 x (cbrt.f64 x)) (neg.f64 eps))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (neg.f64 eps))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (neg.f64 eps))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (neg.f64 eps) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (neg.f64 eps))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 eps)) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) eps)
(fma.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 3/4 binary64)) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps))
(fma.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 3/4 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 3/4 binary64)) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps))
(fma.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 3/4 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 3/4 binary64)) (+.f64 (neg.f64 eps) eps))
(fma.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 3/4 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 eps)) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) eps)
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 eps))
(-.f64 (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64))) eps)
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (neg.f64 eps) #s(literal 1 binary64)))
(-.f64 (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64))) eps)
(fma.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 (pow.f64 x #s(literal 2 binary64)) eps) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 (pow.f64 x #s(literal 2 binary64)) eps) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 (pow.f64 x #s(literal 2 binary64)) eps) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (neg.f64 eps) eps))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 x x eps))
(fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 x x eps))
(fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (+.f64 (neg.f64 eps) eps))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 x x eps))
(fma.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) eps)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 eps)) (cbrt.f64 (neg.f64 eps))) (cbrt.f64 (neg.f64 eps)) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) eps)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) (neg.f64 eps))
(-.f64 (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64))) eps)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) (*.f64 (neg.f64 eps) #s(literal 1 binary64)))
(-.f64 (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64))) eps)
(fma.f64 (sqrt.f64 (neg.f64 eps)) (sqrt.f64 (neg.f64 eps)) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) eps)
(fma.f64 #s(literal -1 binary64) eps (pow.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) eps)
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 3/4 binary64)) (sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps))
(fma.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 3/4 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 3/4 binary64)) (sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps))
(fma.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 3/4 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 3/4 binary64)) (sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 (neg.f64 eps) eps))
(fma.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 3/4 binary64)) #s(literal 0 binary64))
(fma.f64 (+.f64 x (sqrt.f64 eps)) (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps))
(fma.f64 (+.f64 (sqrt.f64 eps) x) (-.f64 x (sqrt.f64 eps)) #s(literal 0 binary64))
(fma.f64 (+.f64 x (sqrt.f64 eps)) (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps))
(fma.f64 (+.f64 (sqrt.f64 eps) x) (-.f64 x (sqrt.f64 eps)) #s(literal 0 binary64))
(fma.f64 (+.f64 x (sqrt.f64 eps)) (-.f64 x (sqrt.f64 eps)) (+.f64 (neg.f64 eps) eps))
(fma.f64 (+.f64 (sqrt.f64 eps) x) (-.f64 x (sqrt.f64 eps)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 eps) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) eps)
(fma.f64 (*.f64 x (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 x) (neg.f64 eps))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 x (cbrt.f64 x)) (neg.f64 eps))
(fma.f64 (*.f64 x (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 x) (*.f64 (neg.f64 eps) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 x (cbrt.f64 x)) (neg.f64 eps))
(fma.f64 (*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps))) (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps))
(fma.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps))) #s(literal 0 binary64))
(fma.f64 (*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps))) (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps))
(fma.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps))) #s(literal 0 binary64))
(fma.f64 (*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps))) (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 (neg.f64 eps) eps))
(fma.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (*.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps))) #s(literal 0 binary64))

eval168.0ms (2.1%)

Compiler

Compiled 6594 to 3189 computations (51.6% saved)

prune74.0ms (0.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New3368344
Fresh000
Picked011
Done000
Total3369345
Accuracy
100.0%
Counts
345 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶30.6%
(/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) x)
▶79.6%
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
✓65.6%
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
62.7%
(-.f64 x (sqrt.f64 (neg.f64 eps)))
▶3.5%
(*.f64 x #s(literal 2 binary64))
▶40.1%
(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
26.5%
(*.f64 eps (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
▶35.5%
(*.f64 eps (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
40.2%
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
Compiler

Compiled 226 to 168 computations (25.7% saved)

localize521.0ms (6.6%)

Localize:

Found 10 expressions with local error:

NewAccuracyProgram
✓99.9%
(/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) x)
✓88.7%
(-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
✓62.6%
(/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
✓50.7%
(/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))
✓100.0%
(+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
✓88.6%
(*.f64 eps (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
✓86.9%
(/.f64 eps (pow.f64 x #s(literal 3 binary64)))
✓99.6%
(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
✓100.0%
(+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
✓99.6%
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
Results
223.0ms205×256valid
214.0ms51×256invalid
Compiler

Compiled 220 to 145 computations (34.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 231.0ms
ival-pow: 113.0ms (49% of total)
ival-mult: 45.0ms (19.5% of total)
ival-div: 40.0ms (17.3% of total)
ival-add: 9.0ms (3.9% of total)
composed: 8.0ms (3.5% of total)
const: 7.0ms (3% of total)
ival-sub: 4.0ms (1.7% of total)
ival-sqrt: 4.0ms (1.7% of total)
ival-neg: 2.0ms (0.9% of total)

series54.0ms (0.7%)

Counts
10 → 158
Calls
Call 1
Inputs
#<alt (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))>
#<alt (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))>
#<alt (*.f64 eps (/.f64 #s(literal 1/2 binary64) x))>
#<alt (/.f64 eps (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))>
#<alt (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) x)>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 eps (+.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 eps (+.f64 (*.f64 eps (-.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) (pow.f64 x #s(literal 7 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) (pow.f64 x #s(literal 7 binary64))))))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64)))))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))>
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#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))))) x))>
Calls

60 calls:

TimeVariablePointExpression
4.0ms
eps
@0
(/ eps (+ x (sqrt (+ (* x x) (* (sqrt (neg eps)) (sqrt (neg eps)))))))
3.0ms
x
@0
(* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))
2.0ms
x
@-inf
(/ eps (+ x (sqrt (+ (* x x) (* (sqrt (neg eps)) (sqrt (neg eps)))))))
2.0ms
x
@-inf
(* eps (/ 1/2 x))
2.0ms
eps
@inf
(/ eps (+ x (sqrt (+ (* x x) (* (sqrt (neg eps)) (sqrt (neg eps)))))))

rewrite103.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
301×log1p-expm1-u
301×expm1-log1p-u
291×add-cube-cbrt
289×pow1
287×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
043403
1699377
Stop Event
1×node limit
Counts
10 → 340
Calls
Call 1
Inputs
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
(/.f64 eps (pow.f64 x #s(literal 3 binary64)))
(*.f64 eps (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) x)
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(*.f64 eps (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(*.f64 #s(literal 1 binary64) (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(*.f64 (sqrt.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) (sqrt.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 eps) (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(*.f64 (/.f64 (sqrt.f64 eps) #s(literal 1 binary64)) (/.f64 (sqrt.f64 eps) (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 2 binary64))) (/.f64 eps (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) (/.f64 eps (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(*.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))
(/.f64 eps (neg.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(/.f64 eps (neg.f64 (neg.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps)))
(pow.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))))
(cbrt.f64 (pow.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(log1p.f64 (expm1.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(exp.f64 (log.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(exp.f64 (*.f64 (log.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) #s(literal 1 binary64)))
(+.f64 x (hypot.f64 x (sqrt.f64 eps)))
(+.f64 (hypot.f64 x (sqrt.f64 eps)) x)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) eps) (-.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(*.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 eps))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (hypot.f64 x (sqrt.f64 eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) eps) (*.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (-.f64 x (hypot.f64 x (sqrt.f64 eps))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (hypot.f64 x (sqrt.f64 eps)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) eps) (*.f64 x (hypot.f64 x (sqrt.f64 eps)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) eps))) (neg.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 x (sqrt.f64 eps)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) eps) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (hypot.f64 x (sqrt.f64 eps)) x))))
(pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (hypot.f64 x (sqrt.f64 eps)))
(fma.f64 #s(literal 1 binary64) (hypot.f64 x (sqrt.f64 eps)) x)
(fma.f64 (cbrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (cbrt.f64 (hypot.f64 x (sqrt.f64 eps))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (hypot.f64 x (sqrt.f64 eps)))
(fma.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 eps))) (sqrt.f64 (hypot.f64 x (sqrt.f64 eps))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 x (sqrt.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (/.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64))
(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1 binary64) (*.f64 eps (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) eps)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 eps (/.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps (/.f64 #s(literal 1/2 binary64) x))))
(*.f64 (sqrt.f64 (*.f64 eps (/.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 eps (/.f64 #s(literal 1/2 binary64) x))))
(*.f64 (/.f64 eps #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (/.f64 eps (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (cbrt.f64 x)))
(*.f64 (/.f64 eps (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 eps #s(literal 1/2 binary64)) x)
(/.f64 (neg.f64 (*.f64 eps #s(literal 1/2 binary64))) (neg.f64 x))
(pow.f64 (*.f64 eps (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (/.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (/.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (/.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) x)) eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (/.f64 #s(literal 1/2 binary64) x)))))
(cbrt.f64 (pow.f64 (*.f64 eps (/.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (/.f64 #s(literal 1/2 binary64) x))))
(log1p.f64 (expm1.f64 (*.f64 eps (/.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (log.f64 (*.f64 eps (/.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (/.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (pow.f64 x #s(literal -3 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 eps (pow.f64 x #s(literal -3 binary64))))
(*.f64 eps (pow.f64 x #s(literal -3 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 eps) x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 eps) x))
(*.f64 (/.f64 (sqrt.f64 eps) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 (sqrt.f64 eps) (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 eps x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) x) (/.f64 (cbrt.f64 eps) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 (cbrt.f64 eps) x))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 eps (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 eps) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 (cbrt.f64 eps) (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (/.f64 (sqrt.f64 eps) x) (/.f64 (sqrt.f64 eps) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 eps) (pow.f64 x #s(literal 2 binary64))) (/.f64 (sqrt.f64 eps) x))
(*.f64 (/.f64 (sqrt.f64 eps) #s(literal 1 binary64)) (/.f64 (sqrt.f64 eps) (pow.f64 x #s(literal 3 binary64))))
(/.f64 eps (pow.f64 x #s(literal 3 binary64)))
(/.f64 eps (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(/.f64 eps (neg.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)))
(pow.f64 (*.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (cbrt.f64 eps) x) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 eps) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal -1 binary64))
(sqrt.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))))
(log.f64 (pow.f64 (exp.f64 eps) (pow.f64 x #s(literal -3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (pow.f64 x #s(literal -3 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (pow.f64 x #s(literal -3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 eps (pow.f64 x #s(literal -3 binary64)))))
(exp.f64 (log.f64 (*.f64 eps (pow.f64 x #s(literal -3 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (pow.f64 x #s(literal -3 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 eps (/.f64 (*.f64 #s(literal 1/8 binary64) eps) (pow.f64 x #s(literal 3 binary64)))) (*.f64 eps (/.f64 #s(literal 1/2 binary64) x)))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) eps) (pow.f64 x #s(literal 3 binary64))) eps) (*.f64 eps (/.f64 #s(literal 1/2 binary64) x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 (*.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x))))) #s(literal 1 binary64))
(*.f64 eps (fma.f64 (*.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1 binary64) (*.f64 eps (fma.f64 (*.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(*.f64 (fma.f64 (*.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) eps)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 (*.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps (fma.f64 (*.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (sqrt.f64 (*.f64 eps (fma.f64 (*.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (sqrt.f64 (*.f64 eps (fma.f64 (*.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 eps (/.f64 (*.f64 #s(literal 1/8 binary64) eps) (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (/.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 eps (/.f64 (*.f64 #s(literal 1/8 binary64) eps) (pow.f64 x #s(literal 3 binary64)))) (*.f64 eps (/.f64 (*.f64 #s(literal 1/8 binary64) eps) (pow.f64 x #s(literal 3 binary64))))) (-.f64 (pow.f64 (*.f64 eps (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 eps (/.f64 (*.f64 #s(literal 1/8 binary64) eps) (pow.f64 x #s(literal 3 binary64)))) (*.f64 eps (/.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) eps) (pow.f64 x #s(literal 3 binary64))) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (/.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) eps) (pow.f64 x #s(literal 3 binary64))) eps) (*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) eps) (pow.f64 x #s(literal 3 binary64))) eps)) (-.f64 (pow.f64 (*.f64 eps (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) eps) (pow.f64 x #s(literal 3 binary64))) eps) (*.f64 eps (/.f64 #s(literal 1/2 binary64) x))))))
(pow.f64 (*.f64 eps (fma.f64 (*.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64))))) (neg.f64 x))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) x) (*.f64 x (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))))) x))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))))) (/.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))))) (neg.f64 x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/16 binary64) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))) x))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/16 binary64) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))) (/.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/16 binary64) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))) (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))))) (neg.f64 (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64))) x) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) x) (/.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) x)) (+.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64))) x) (/.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64))) x)) (*.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) x) (/.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64))) x)))))
(pow.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64))))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))) x))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))) x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))) x)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))) x)))
(exp.f64 (log.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))) x)) #s(literal 1 binary64)))

simplify187.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
662×fma-define
588×times-frac
324×*-commutative
279×distribute-lft-in
223×distribute-frac-neg2
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0124630223
1341528081
Stop Event
1×node limit
Counts
498 → 554
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 eps (+.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 eps (+.f64 (*.f64 eps (-.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) (pow.f64 x #s(literal 7 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) (pow.f64 x #s(literal 7 binary64))))))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64)))))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 eps x)) eps)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 x (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) eps)) (*.f64 eps x)) eps)))
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(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64))) x) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) x) (/.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) x)) (+.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64))) x) (/.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64))) x)) (*.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) x) (/.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64))) x)))))
(pow.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64))))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))) x))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))) x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))) x)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))) x)))
(exp.f64 (log.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))) x)) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(/.f64 (*.f64 #s(literal 1/2 binary64) eps) x)
(*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 eps (+.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 eps (+.f64 (*.f64 eps (-.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) (pow.f64 x #s(literal 7 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) (pow.f64 x #s(literal 7 binary64))))))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64)))))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 (neg.f64 eps) (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) (pow.f64 x #s(literal 7 binary64))) #s(literal 5/128 binary64)) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(/.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(+.f64 x (/.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(+.f64 (-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))) #s(literal -1/2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) x)
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(-.f64 (-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (neg.f64 (sqrt.f64 eps)) (*.f64 x (/.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (pow.f64 eps #s(literal 3 binary64)))) (-.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 x)) (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))))
(-.f64 x (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 eps x)) eps)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 2 binary64))))) (*.f64 eps x)) eps)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 x (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) eps)) (*.f64 eps x)) eps)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 eps) (/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 x (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 2 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 2 binary64))))))) (neg.f64 eps)) (*.f64 eps x)) eps)))
(*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(/.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(+.f64 x (/.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.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) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))
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(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/16 binary64) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))) (/.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 x (fma.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/16 binary64) (fma.f64 eps #s(literal -1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/16 binary64) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))) (neg.f64 x)))
(/.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))) (pow.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/16 binary64) (fma.f64 eps #s(literal -1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))))) (neg.f64 (neg.f64 x)))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) eps))) x)
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64))) x) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) x) (/.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) x)) (+.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64))) x) (/.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64))) x)) (*.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) x) (/.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64))) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)))) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (/.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)))) x) (+.f64 (/.f64 (fma.f64 eps #s(literal -1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)))) x) (*.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))))))))
(pow.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))) x) #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) eps))) x)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))) x)) #s(literal 3 binary64))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) eps))) x)
(pow.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) eps))) x)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))) x)) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) eps))) x)
(pow.f64 (/.f64 x (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64))))) #s(literal -1 binary64))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) eps))) x)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))) x) #s(literal 2 binary64)))
(fabs.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) eps))) x))
(log.f64 (exp.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))) x)))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) eps))) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))) x))))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) eps))) x)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))) x) #s(literal 3 binary64)))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) eps))) x)
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) eps))) x)
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) eps))) x)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))) x)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) eps))) x)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))) x)))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) eps))) x)
(exp.f64 (log.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))) x)))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) eps))) x)
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))) x)) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) eps))) x)

eval455.0ms (5.8%)

Compiler

Compiled 14658 to 10350 computations (29.4% saved)

prune90.0ms (1.1%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New5513554
Fresh213
Picked235
Done011
Total5558563
Accuracy
100.0%
Counts
563 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶30.9%
(/.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))) x)
▶40.2%
(/.f64 (*.f64 eps #s(literal 1/2 binary64)) x)
▶40.7%
(/.f64 eps (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))
✓79.6%
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
✓65.6%
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
▶62.7%
(-.f64 x (sqrt.f64 (neg.f64 eps)))
✓3.5%
(*.f64 x #s(literal 2 binary64))
✓40.1%
(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 84 to 59 computations (29.8% saved)

localize459.0ms (5.8%)

Localize:

Found 7 expressions with local error:

NewAccuracyProgram
✓91.5%
(*.f64 eps (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
✓91.2%
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
✓90.5%
(/.f64 eps (pow.f64 x #s(literal 4 binary64)))
✓58.2%
(+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
✓100.0%
(fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))
✓99.9%
(/.f64 eps (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))
✓100.0%
(-.f64 x (sqrt.f64 (neg.f64 eps)))
Results
177.0ms205×256valid
39.0ms51×256invalid
Compiler

Compiled 189 to 127 computations (32.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 171.0ms
ival-pow: 55.0ms (32.1% of total)
ival-mult: 45.0ms (26.3% of total)
ival-div: 42.0ms (24.5% of total)
ival-add: 13.0ms (7.6% of total)
composed: 7.0ms (4.1% of total)
const: 6.0ms (3.5% of total)
ival-sub: 2.0ms (1.2% of total)
ival-sqrt: 2.0ms (1.2% of total)
ival-neg: 2.0ms (1.2% of total)

series51.0ms (0.6%)

Counts
7 → 136
Calls
Call 1
Inputs
#<alt (-.f64 x (sqrt.f64 (neg.f64 eps)))>
#<alt (/.f64 eps (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))>
#<alt (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))>
#<alt (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (/.f64 eps (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x)))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64))))>
#<alt (-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 eps (-.f64 (/.f64 x eps) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 eps (-.f64 (/.f64 x eps) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 eps (-.f64 (/.f64 x eps) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 eps (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 eps (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 eps (+.f64 (*.f64 eps (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/128 binary64) (/.f64 eps (pow.f64 x #s(literal 7 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (+.f64 (*.f64 #s(literal -8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) (*.f64 #s(literal -2 binary64) x))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -32 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) x)) (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -128 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 #s(literal -2 binary64) x)) (+.f64 (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) (*.f64 #s(literal 32 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (+.f64 (*.f64 #s(literal -8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) (*.f64 #s(literal -2 binary64) x))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 32 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) eps)) (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -128 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) eps)) (*.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 5 binary64)))) eps)) (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps)))>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal -8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) #s(literal 2 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -32 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -128 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 #s(literal 32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)) x)>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) x)>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))))) x)>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))))) (+.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 #s(literal 2 binary64) x))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 #s(literal 2 binary64) x))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 #s(literal 2 binary64) x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) eps) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) eps) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) eps) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))>
#<alt (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))>
#<alt (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) eps)) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) eps)) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))>
#<alt (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 x #s(literal 4 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/8 binary64) eps)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/8 binary64) eps)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/8 binary64) eps)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/8 binary64) eps)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/8 binary64) eps)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/8 binary64) eps)) (pow.f64 x #s(literal 2 binary64)))>
Calls

42 calls:

TimeVariablePointExpression
28.0ms
eps
@0
(/ eps (pow x 4))
1.0ms
eps
@-inf
(* eps (+ 1/2 (* eps (+ (* 1/16 (/ eps (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))))
1.0ms
eps
@0
(+ (* 1/16 (/ eps (pow x 4))) (* 1/8 (/ 1 (pow x 2))))
1.0ms
eps
@inf
(* eps (+ 1/2 (* eps (+ (* 1/16 (/ eps (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))))
1.0ms
x
@-inf
(/ eps (+ (* x 2) (* -1/2 (/ eps x))))

rewrite194.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
659×log1p-expm1-u
215×expm1-log1p-u
207×add-exp-log
207×add-log-exp
207×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033268
1480260
27248260
Stop Event
1×node limit
Counts
7 → 284
Calls
Call 1
Inputs
(-.f64 x (sqrt.f64 (neg.f64 eps)))
(/.f64 eps (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))
(fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))
(+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 eps (pow.f64 x #s(literal 4 binary64)))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(*.f64 eps (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
Outputs
(+.f64 x (neg.f64 (sqrt.f64 eps)))
(+.f64 x (*.f64 (neg.f64 (sqrt.f64 eps)) #s(literal 1 binary64)))
(+.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (sqrt.f64 eps)) #s(literal 1 binary64) (sqrt.f64 eps)))
(+.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 eps))) (cbrt.f64 eps) (sqrt.f64 eps)))
(+.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (pow.f64 eps #s(literal 1/4 binary64))) (pow.f64 eps #s(literal 1/4 binary64)) (sqrt.f64 eps)))
(+.f64 (neg.f64 (sqrt.f64 eps)) x)
(-.f64 x (sqrt.f64 eps))
(-.f64 (exp.f64 (log1p.f64 (-.f64 x (sqrt.f64 eps)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) eps) (*.f64 x (sqrt.f64 eps)))) (/.f64 (pow.f64 eps #s(literal 3/2 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) eps) (*.f64 x (sqrt.f64 eps)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x (sqrt.f64 eps))) (/.f64 eps (+.f64 x (sqrt.f64 eps))))
(*.f64 (-.f64 x (sqrt.f64 eps)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 eps)))
(*.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) (cbrt.f64 (pow.f64 (-.f64 x (sqrt.f64 eps)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 x (sqrt.f64 eps)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 x (sqrt.f64 eps))))
(*.f64 (sqrt.f64 (-.f64 x (sqrt.f64 eps))) (sqrt.f64 (-.f64 x (sqrt.f64 eps))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) eps) (*.f64 x (sqrt.f64 eps)))))
(*.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) eps) (/.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 eps))))
(*.f64 (+.f64 (sqrt.f64 x) (pow.f64 eps #s(literal 1/4 binary64))) (-.f64 (sqrt.f64 x) (pow.f64 eps #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) eps) (*.f64 x (sqrt.f64 eps))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (sqrt.f64 eps)) (+.f64 (pow.f64 x #s(literal 2 binary64)) eps)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3/2 binary64))) (+.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) eps) (*.f64 x (sqrt.f64 eps))))
(/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) eps) (+.f64 x (sqrt.f64 eps)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) eps) (*.f64 x (sqrt.f64 eps)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (neg.f64 (+.f64 x (sqrt.f64 eps))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 (sqrt.f64 eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (sqrt.f64 eps)) (neg.f64 (sqrt.f64 eps))) (*.f64 x (neg.f64 (sqrt.f64 eps))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 eps)) (neg.f64 (sqrt.f64 eps)))) (-.f64 x (neg.f64 (sqrt.f64 eps))))
(pow.f64 (-.f64 x (sqrt.f64 eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 x (sqrt.f64 eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 x (sqrt.f64 eps))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 x (sqrt.f64 eps)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 x (sqrt.f64 eps))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 x (sqrt.f64 eps)))))
(cbrt.f64 (pow.f64 (-.f64 x (sqrt.f64 eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 x (sqrt.f64 eps))))
(log1p.f64 (expm1.f64 (-.f64 x (sqrt.f64 eps))))
(exp.f64 (log.f64 (-.f64 x (sqrt.f64 eps))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (sqrt.f64 eps))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (neg.f64 (sqrt.f64 eps)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 x) (neg.f64 (sqrt.f64 eps)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sqrt.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))) (/.f64 eps (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))))
(*.f64 eps (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))))
(*.f64 eps (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))))
(*.f64 (/.f64 eps (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 eps (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))))
(*.f64 #s(literal -1 binary64) (/.f64 eps (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))))
(*.f64 (cbrt.f64 (/.f64 eps (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))) (pow.f64 (cbrt.f64 (/.f64 eps (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 eps (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 eps (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))))
(*.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (/.f64 (cbrt.f64 eps) (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))))
(*.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (*.f64 (cbrt.f64 eps) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))))
(*.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (/.f64 (cbrt.f64 eps) (neg.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))))
(*.f64 (sqrt.f64 (/.f64 eps (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))) (sqrt.f64 (/.f64 eps (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))))
(*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 eps) (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))))
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))))
(*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 eps) (neg.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))) eps)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))) #s(literal 2 binary64))) (/.f64 eps (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))) (/.f64 eps (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 eps) (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 eps (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))))
(*.f64 (/.f64 (sqrt.f64 eps) #s(literal 1 binary64)) (/.f64 (sqrt.f64 eps) (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))))
(*.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 eps) (cbrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))))
(/.f64 eps (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))
(/.f64 eps (neg.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))))
(/.f64 eps (neg.f64 (neg.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))) eps))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))) eps) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))) eps)))
(/.f64 (/.f64 eps (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))) (sqrt.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))))
(/.f64 (/.f64 eps #s(literal 1 binary64)) (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))
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(fma.f64 #s(literal 1/2 binary64) eps (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 eps (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 eps #s(literal 2 binary64))))
(+.f64 (*.f64 eps (*.f64 eps (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/16 binary64)))) (*.f64 eps (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (*.f64 eps (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 eps (*.f64 eps (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/16 binary64)))))
(+.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/16 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 eps (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 #s(literal 1/16 binary64) (*.f64 eps (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))))) #s(literal 1 binary64))
(*.f64 eps (fma.f64 #s(literal 1/16 binary64) (*.f64 eps (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (*.f64 eps (fma.f64 #s(literal 1/16 binary64) (*.f64 eps (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 eps (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) eps)
(*.f64 (*.f64 eps (fma.f64 #s(literal 1/16 binary64) (*.f64 eps (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 eps (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 eps (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) eps))
(*.f64 (cbrt.f64 (*.f64 eps (fma.f64 #s(literal 1/16 binary64) (*.f64 eps (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 #s(literal 1/16 binary64) (*.f64 eps (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 #s(literal 1/16 binary64) (*.f64 eps (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps (fma.f64 #s(literal 1/16 binary64) (*.f64 eps (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (*.f64 (cbrt.f64 eps) (fma.f64 #s(literal 1/16 binary64) (*.f64 eps (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 eps (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 eps (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) eps))
(*.f64 (sqrt.f64 (*.f64 eps (fma.f64 #s(literal 1/16 binary64) (*.f64 eps (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))) (sqrt.f64 (*.f64 eps (fma.f64 #s(literal 1/16 binary64) (*.f64 eps (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (fma.f64 #s(literal 1/16 binary64) (*.f64 eps (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (*.f64 eps (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 eps (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 eps (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (*.f64 eps (sqrt.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 eps (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))) (sqrt.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 eps (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 eps (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 eps))
(*.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 eps (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 eps)) (sqrt.f64 eps))
(/.f64 (+.f64 (pow.f64 (*.f64 eps (*.f64 eps (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/16 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/16 binary64)))) (*.f64 eps (*.f64 eps (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/16 binary64))))) (-.f64 (*.f64 (*.f64 eps (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 eps (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/16 binary64)))) (*.f64 eps (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(/.f64 (-.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/16 binary64)))) (*.f64 eps (*.f64 eps (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/16 binary64))))) (*.f64 (*.f64 eps (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 eps (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))) (-.f64 (*.f64 eps (*.f64 eps (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/16 binary64)))) (*.f64 eps (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (*.f64 eps (+.f64 (/.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 (pow.f64 (*.f64 eps (pow.f64 x #s(literal -4 binary64))) #s(literal 3 binary64)) #s(literal 1/4096 binary64)))) (-.f64 (+.f64 (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64))) #s(literal 1/256 binary64)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/64 binary64))) (/.f64 (*.f64 (*.f64 eps #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 (*.f64 eps (-.f64 (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64))) #s(literal 1/256 binary64)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/64 binary64)))) (+.f64 (*.f64 eps (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/16 binary64))) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -2 binary64)))))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 (pow.f64 (*.f64 eps (pow.f64 x #s(literal -4 binary64))) #s(literal 3 binary64)) #s(literal 1/4096 binary64))) eps) (-.f64 (+.f64 (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64))) #s(literal 1/256 binary64)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/64 binary64))) (/.f64 (*.f64 (*.f64 eps #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64))) #s(literal 1/256 binary64)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/64 binary64))) eps) (+.f64 (*.f64 eps (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/16 binary64))) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -2 binary64)))))
(pow.f64 (*.f64 eps (fma.f64 #s(literal 1/16 binary64) (*.f64 eps (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 #s(literal 1/16 binary64) (*.f64 eps (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal 1/16 binary64) (*.f64 eps (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 #s(literal 1/16 binary64) (*.f64 eps (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal 1/16 binary64) (*.f64 eps (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 eps (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (fma.f64 #s(literal 1/16 binary64) (*.f64 eps (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal 1/16 binary64) (*.f64 eps (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 #s(literal 1/16 binary64) (*.f64 eps (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 #s(literal 1/16 binary64) (*.f64 eps (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 #s(literal 1/16 binary64) (*.f64 eps (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 #s(literal 1/16 binary64) (*.f64 eps (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(fma.f64 eps (*.f64 eps (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/16 binary64))) (*.f64 eps (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 (*.f64 eps (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/16 binary64))) eps (*.f64 eps (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))

simplify438.0ms (5.6%)

Algorithm
1×egg-herbie
Rules
746×fma-neg
479×associate-*r*
458×associate-*l*
430×fma-define
328×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
085321382
1210120196
2754520162
Stop Event
1×node limit
Counts
420 → 443
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x)))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64))))
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 eps (-.f64 (/.f64 x eps) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 eps (-.f64 (/.f64 x eps) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 eps (-.f64 (/.f64 x eps) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(*.f64 eps (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 eps (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 eps (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 eps (+.f64 (*.f64 eps (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/128 binary64) (/.f64 eps (pow.f64 x #s(literal 7 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -2 binary64) x)
(+.f64 (*.f64 #s(literal -8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) (*.f64 #s(literal -2 binary64) x))
(-.f64 (+.f64 (*.f64 #s(literal -32 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) x)) (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)))
(-.f64 (+.f64 (*.f64 #s(literal -128 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 #s(literal -2 binary64) x)) (+.f64 (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) (*.f64 #s(literal 32 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 eps #s(literal 2 binary64))))))
(*.f64 #s(literal -2 binary64) x)
(+.f64 (*.f64 #s(literal -8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) (*.f64 #s(literal -2 binary64) x))
(+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 32 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) eps)) (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps)))
(+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -128 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) eps)) (*.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 5 binary64)))) eps)) (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps)))
(*.f64 #s(literal -2 binary64) x)
(*.f64 x (-.f64 (*.f64 #s(literal -8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) #s(literal 2 binary64)))
(*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -32 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64)))
(*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -128 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 #s(literal 32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
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(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 (pow.f64 (*.f64 eps (pow.f64 x #s(literal -4 binary64))) #s(literal 3 binary64)) #s(literal 1/4096 binary64))) eps) (-.f64 (+.f64 (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64))) #s(literal 1/256 binary64)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/64 binary64))) (/.f64 (*.f64 (*.f64 eps #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64))) #s(literal 1/256 binary64)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/64 binary64))) eps) (+.f64 (*.f64 eps (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/16 binary64))) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -2 binary64)))))
(pow.f64 (*.f64 eps (fma.f64 #s(literal 1/16 binary64) (*.f64 eps (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 #s(literal 1/16 binary64) (*.f64 eps (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal 1/16 binary64) (*.f64 eps (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 #s(literal 1/16 binary64) (*.f64 eps (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal 1/16 binary64) (*.f64 eps (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 eps (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (fma.f64 #s(literal 1/16 binary64) (*.f64 eps (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal 1/16 binary64) (*.f64 eps (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 #s(literal 1/16 binary64) (*.f64 eps (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 #s(literal 1/16 binary64) (*.f64 eps (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 #s(literal 1/16 binary64) (*.f64 eps (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 #s(literal 1/16 binary64) (*.f64 eps (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(fma.f64 eps (*.f64 eps (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/16 binary64))) (*.f64 eps (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 (*.f64 eps (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/16 binary64))) eps (*.f64 eps (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x)))))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x)))))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x)))))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64))))
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (sqrt.f64 eps) x) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64))))
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (sqrt.f64 eps) x) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64))))
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (sqrt.f64 eps) x) #s(literal -1 binary64)) (neg.f64 x))
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(*.f64 eps (-.f64 (/.f64 x eps) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 eps (-.f64 (/.f64 x eps) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)))))
(*.f64 eps (-.f64 (/.f64 x eps) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 eps (-.f64 (/.f64 x eps) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)))))
(*.f64 eps (-.f64 (/.f64 x eps) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 eps (-.f64 (/.f64 x eps) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)))))
(*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 (-.f64 (/.f64 x (neg.f64 eps)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)))) (neg.f64 eps))
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 (-.f64 (/.f64 x (neg.f64 eps)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)))) (neg.f64 eps))
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 (-.f64 (/.f64 x (neg.f64 eps)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)))) (neg.f64 eps))
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
(*.f64 eps (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 eps (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 eps (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/32 binary64) (/.f64 eps (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 eps (+.f64 (*.f64 eps (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/128 binary64) (/.f64 eps (pow.f64 x #s(literal 7 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/128 binary64) (/.f64 eps (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 1/32 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal -2 binary64) x)
(*.f64 x #s(literal -2 binary64))
(+.f64 (*.f64 #s(literal -8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) (*.f64 #s(literal -2 binary64) x))
(fma.f64 x #s(literal -2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal -8 binary64) eps)))
(-.f64 (+.f64 (*.f64 #s(literal -32 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) x)) (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)))
(fma.f64 #s(literal -32 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 x #s(literal -2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal -8 binary64) eps))))
(-.f64 (+.f64 (*.f64 #s(literal -128 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 #s(literal -2 binary64) x)) (+.f64 (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) (*.f64 #s(literal 32 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 eps #s(literal 2 binary64))))))
(-.f64 (fma.f64 #s(literal -128 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 eps #s(literal 3 binary64))) (*.f64 x #s(literal -2 binary64))) (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal 32 binary64) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) eps))
(*.f64 #s(literal -2 binary64) x)
(*.f64 x #s(literal -2 binary64))
(+.f64 (*.f64 #s(literal -8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) (*.f64 #s(literal -2 binary64) x))
(fma.f64 x #s(literal -2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal -8 binary64) eps)))
(+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 32 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) eps)) (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps)))
(-.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal 32 binary64) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) eps))
(+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -128 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) eps)) (*.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 5 binary64)))) eps)) (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps)))
(-.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -128 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) eps) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -32 binary64))) (neg.f64 eps)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) eps))
(*.f64 #s(literal -2 binary64) x)
(*.f64 x #s(literal -2 binary64))
(*.f64 x (-.f64 (*.f64 #s(literal -8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) #s(literal 2 binary64)))
(*.f64 x (fma.f64 #s(literal -8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal -2 binary64)))
(*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -32 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64)))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -32 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (/.f64 #s(literal -8 binary64) eps)) #s(literal -2 binary64)))
(*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -128 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 #s(literal 32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64)))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -128 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal -32 binary64) (pow.f64 eps #s(literal 2 binary64)))) (/.f64 #s(literal -8 binary64) eps)) #s(literal -2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)) x)
(/.f64 (fma.f64 eps #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)))) x)
(/.f64 (-.f64 (+.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) x)
(/.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 eps #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64))))) x)
(/.f64 (-.f64 (+.f64 (*.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))))) x)
(/.f64 (-.f64 (fma.f64 eps #s(literal 1/2 binary64) (*.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/32 binary64)) (pow.f64 x #s(literal 4 binary64))))) x)
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) x))
(/.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64))) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) x))
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(fabs.f64 (*.f64 eps (fma.f64 eps (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))))
(log.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 eps (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) eps))
(*.f64 eps (fma.f64 eps (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (fma.f64 #s(literal 1/16 binary64) (*.f64 eps (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(*.f64 eps (fma.f64 eps (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal 1/16 binary64) (*.f64 eps (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(*.f64 eps (fma.f64 eps (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 #s(literal 1/16 binary64) (*.f64 eps (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 eps (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 #s(literal 1/16 binary64) (*.f64 eps (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 eps (fma.f64 eps (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 #s(literal 1/16 binary64) (*.f64 eps (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 eps (fma.f64 eps (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 #s(literal 1/16 binary64) (*.f64 eps (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(*.f64 eps (fma.f64 eps (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 eps (*.f64 eps (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/16 binary64))) (*.f64 eps (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 eps (fma.f64 eps (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 (*.f64 eps (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/16 binary64))) eps (*.f64 eps (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 eps (fma.f64 eps (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))

eval201.0ms (2.6%)

Compiler

Compiled 9816 to 6841 computations (30.3% saved)

prune88.0ms (1.1%)

Pruning

11 alts after pruning (6 fresh and 5 done)

PrunedKeptTotal
New4376443
Fresh000
Picked224
Done134
Total44011451
Accuracy
100.0%
Counts
451 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.0%
(/.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 eps (/.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) eps) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))))) x)
✓40.2%
(/.f64 (*.f64 eps #s(literal 1/2 binary64)) x)
▶40.7%
(/.f64 eps (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))
✓79.6%
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
▶5.3%
(/.f64 eps (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)))
▶5.3%
(/.f64 eps (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))
✓65.6%
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓62.7%
(-.f64 x (sqrt.f64 (neg.f64 eps)))
▶5.3%
(*.f64 x #s(literal -2 binary64))
✓40.1%
(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
▶3.5%
x
Compiler

Compiled 166 to 116 computations (30.1% saved)

localize100.0ms (1.3%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
✓99.8%
(/.f64 eps (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)))
✓99.5%
(*.f64 eps (/.f64 #s(literal -1/2 binary64) x))
✓99.8%
(/.f64 eps (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))
✓100.0%
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))
✓99.9%
(/.f64 eps (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))
Results
68.0ms256×256valid
Compiler

Compiled 80 to 40 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-mult: 20.0ms (53.5% of total)
ival-div: 13.0ms (34.8% of total)
ival-add: 3.0ms (8% of total)
const: 2.0ms (5.3% of total)

series13.0ms (0.2%)

Counts
5 → 120
Calls
Call 1
Inputs
#<alt (/.f64 eps (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))>
#<alt (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))>
#<alt (/.f64 eps (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))>
#<alt (*.f64 eps (/.f64 #s(literal -1/2 binary64) x))>
#<alt (/.f64 eps (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)))>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 eps (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 eps (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 eps (+.f64 (*.f64 eps (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/128 binary64) (/.f64 eps (pow.f64 x #s(literal 7 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (+.f64 (*.f64 #s(literal -8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) (*.f64 #s(literal -2 binary64) x))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -32 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) x)) (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -128 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 #s(literal -2 binary64) x)) (+.f64 (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) (*.f64 #s(literal 32 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (+.f64 (*.f64 #s(literal -8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) (*.f64 #s(literal -2 binary64) x))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 32 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) eps)) (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -128 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) eps)) (*.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 5 binary64)))) eps)) (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps)))>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal -8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) #s(literal 2 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -32 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -128 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 #s(literal 32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)) x)>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) x)>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))))) x)>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))))) (+.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 #s(literal 2 binary64) x))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 #s(literal 2 binary64) x))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 #s(literal 2 binary64) x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
Calls

30 calls:

TimeVariablePointExpression
5.0ms
x
@inf
(/ eps (* eps (/ -1/2 x)))
0.0ms
x
@inf
(/ eps (* -1/2 (/ eps x)))
0.0ms
x
@-inf
(/ eps (* -1/2 (/ eps x)))
0.0ms
eps
@0
(/ eps (* -1/2 (/ eps x)))
0.0ms
x
@inf
(/ eps (+ (* x 2) (* -1/2 (/ eps x))))

rewrite141.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
864×log1p-expm1-u
864×expm1-log1p-u
298×fma-define
201×log1p-undefine
193×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018144
1274108
24402108
Stop Event
1×node limit
Counts
5 → 330
Calls
Call 1
Inputs
(/.f64 eps (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))
(/.f64 eps (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))
(*.f64 eps (/.f64 #s(literal -1/2 binary64) x))
(/.f64 eps (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))))) #s(literal 1 binary64))
(*.f64 eps (/.f64 #s(literal 1 binary64) (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))))
(*.f64 (/.f64 eps (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 eps (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 eps (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))))) (cbrt.f64 (pow.f64 (/.f64 eps (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 eps (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 eps (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (/.f64 (cbrt.f64 eps) (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (*.f64 (cbrt.f64 eps) (/.f64 #s(literal 1 binary64) (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 eps (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))))) (sqrt.f64 (/.f64 eps (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 eps) (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))))))
(*.f64 (neg.f64 eps) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 eps x) #s(literal 1/2 binary64) (neg.f64 (*.f64 x #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))) eps)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 eps) (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 eps) #s(literal 1 binary64)) (/.f64 (sqrt.f64 eps) (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 eps (cbrt.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))))) (/.f64 eps (sqrt.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 eps (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))))))
(*.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 eps) (cbrt.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))))))
(*.f64 (/.f64 eps (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))
(*.f64 (/.f64 eps (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 2 binary64)))) (fma.f64 x #s(literal 2 binary64) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64))))
(/.f64 eps (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))) eps))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))) eps) #s(literal 1 binary64)))
(/.f64 (neg.f64 eps) (fma.f64 (/.f64 eps x) #s(literal 1/2 binary64) (neg.f64 (*.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))) eps)))
(/.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (fma.f64 (/.f64 eps x) #s(literal 1/2 binary64) (neg.f64 (*.f64 x #s(literal 2 binary64))))))
(/.f64 (/.f64 eps #s(literal 1 binary64)) (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))))
(/.f64 (/.f64 eps (sqrt.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))))
(/.f64 (/.f64 eps (pow.f64 (cbrt.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))))
(pow.f64 (/.f64 eps (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 eps (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 eps (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 eps (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))) eps) #s(literal -1 binary64))
(neg.f64 (/.f64 eps (fma.f64 (/.f64 eps x) #s(literal 1/2 binary64) (neg.f64 (*.f64 x #s(literal 2 binary64))))))
(neg.f64 (/.f64 (neg.f64 eps) (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))))
(sqrt.f64 (pow.f64 (/.f64 eps (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 eps (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 eps (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (/.f64 eps (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 eps (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (/.f64 eps (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))))))
(exp.f64 (log.f64 (/.f64 eps (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 eps (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 x #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 x #s(literal 2 binary64) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64)))))
(*.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))))
(*.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))))
(*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 2 binary64))) (fma.f64 x #s(literal 2 binary64) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 x #s(literal 2 binary64))))
(pow.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))
(fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))
(fma.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) eps (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 eps x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 eps x)) #s(literal -1/2 binary64)) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) x)) eps) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (cbrt.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))
(fma.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))) (pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))) #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64)))
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(*.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (*.f64 (cbrt.f64 eps) (/.f64 (*.f64 x #s(literal -2 binary64)) eps)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 (cbrt.f64 x) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))) (sqrt.f64 (*.f64 x #s(literal -2 binary64))))
(*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 eps) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (/.f64 (*.f64 x #s(literal -2 binary64)) eps)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 eps) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64))))
(*.f64 (/.f64 x eps) (*.f64 eps #s(literal -2 binary64)))
(*.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) eps) eps)
(*.f64 (*.f64 eps #s(literal -2 binary64)) (/.f64 x eps))
(*.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 eps (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps) (/.f64 (cbrt.f64 eps) (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 (cbrt.f64 eps) eps))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 eps) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))
(*.f64 (/.f64 (sqrt.f64 eps) eps) (/.f64 (sqrt.f64 eps) (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 (/.f64 (sqrt.f64 eps) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 (sqrt.f64 eps) eps))
(*.f64 (/.f64 (sqrt.f64 eps) #s(literal 1 binary64)) (/.f64 (sqrt.f64 eps) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal -2 binary64) (/.f64 eps (/.f64 eps x)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))) #s(literal 2 binary64))) (/.f64 eps (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))) (/.f64 eps (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 (cbrt.f64 eps) (/.f64 eps x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (/.f64 eps x)) (/.f64 (cbrt.f64 eps) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x #s(literal -2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))))
(*.f64 (/.f64 (sqrt.f64 eps) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 eps) (/.f64 eps x)))
(*.f64 (/.f64 (sqrt.f64 eps) (/.f64 eps x)) (/.f64 (sqrt.f64 eps) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 eps) (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))))
(*.f64 (/.f64 (*.f64 eps #s(literal -2 binary64)) eps) x)
(*.f64 (/.f64 (*.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 x eps))
(*.f64 (/.f64 eps (*.f64 eps #s(literal -1/2 binary64))) x)
(*.f64 (/.f64 (*.f64 eps #s(literal -2 binary64)) (neg.f64 eps)) (neg.f64 x))
(/.f64 eps (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))
(/.f64 x #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 eps x) (*.f64 eps #s(literal -2 binary64))))
(/.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))
(/.f64 (neg.f64 eps) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 x) #s(literal 1/2 binary64))
(/.f64 (*.f64 eps #s(literal -2 binary64)) (/.f64 eps x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1/2 binary64) x)))
(/.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (*.f64 (/.f64 eps x) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (*.f64 eps #s(literal -2 binary64))) (neg.f64 (/.f64 eps x)))
(/.f64 (/.f64 eps (/.f64 #s(literal -1/2 binary64) x)) eps)
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 eps (/.f64 eps x)) #s(literal -1/2 binary64))
(/.f64 (/.f64 eps (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))) (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))
(/.f64 (/.f64 eps #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))
(/.f64 (/.f64 #s(literal 1 binary64) (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 (/.f64 eps (pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))
(/.f64 (/.f64 (*.f64 eps #s(literal -2 binary64)) eps) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (*.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 eps x))
(/.f64 (/.f64 (*.f64 eps #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (/.f64 eps x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 eps x)))
(/.f64 (/.f64 (*.f64 eps #s(literal -2 binary64)) (sqrt.f64 (/.f64 eps x))) (sqrt.f64 (/.f64 eps x)))
(pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))
(pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 2 binary64))
(neg.f64 (/.f64 eps (*.f64 (/.f64 eps x) #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (neg.f64 eps) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))
(sqrt.f64 (pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal -2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal -1/8 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))

simplify154.0ms (2%)

Algorithm
1×egg-herbie
Rules
403×exp-prod
354×div-sub
337×cube-prod
280×associate-*r*
257×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
063011335
1154311183
2573411085
Stop Event
1×node limit
Counts
450 → 316
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
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(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 eps) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64))))
(*.f64 (/.f64 x eps) (*.f64 eps #s(literal -2 binary64)))
(*.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) eps) eps)
(*.f64 (*.f64 eps #s(literal -2 binary64)) (/.f64 x eps))
(*.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 eps (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps) (/.f64 (cbrt.f64 eps) (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 (cbrt.f64 eps) eps))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 eps) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))
(*.f64 (/.f64 (sqrt.f64 eps) eps) (/.f64 (sqrt.f64 eps) (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 (/.f64 (sqrt.f64 eps) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 (sqrt.f64 eps) eps))
(*.f64 (/.f64 (sqrt.f64 eps) #s(literal 1 binary64)) (/.f64 (sqrt.f64 eps) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal -2 binary64) (/.f64 eps (/.f64 eps x)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))) #s(literal 2 binary64))) (/.f64 eps (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))) (/.f64 eps (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 (cbrt.f64 eps) (/.f64 eps x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (/.f64 eps x)) (/.f64 (cbrt.f64 eps) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x #s(literal -2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))))
(*.f64 (/.f64 (sqrt.f64 eps) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 eps) (/.f64 eps x)))
(*.f64 (/.f64 (sqrt.f64 eps) (/.f64 eps x)) (/.f64 (sqrt.f64 eps) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 eps) (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))))
(*.f64 (/.f64 (*.f64 eps #s(literal -2 binary64)) eps) x)
(*.f64 (/.f64 (*.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 x eps))
(*.f64 (/.f64 eps (*.f64 eps #s(literal -1/2 binary64))) x)
(*.f64 (/.f64 (*.f64 eps #s(literal -2 binary64)) (neg.f64 eps)) (neg.f64 x))
(/.f64 eps (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))
(/.f64 x #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 eps x) (*.f64 eps #s(literal -2 binary64))))
(/.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x)))
(/.f64 (neg.f64 eps) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 x) #s(literal 1/2 binary64))
(/.f64 (*.f64 eps #s(literal -2 binary64)) (/.f64 eps x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1/2 binary64) x)))
(/.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (*.f64 (/.f64 eps x) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (*.f64 eps #s(literal -2 binary64))) (neg.f64 (/.f64 eps x)))
(/.f64 (/.f64 eps (/.f64 #s(literal -1/2 binary64) x)) eps)
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 eps (/.f64 eps x)) #s(literal -1/2 binary64))
(/.f64 (/.f64 eps (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))) (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))
(/.f64 (/.f64 eps #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))
(/.f64 (/.f64 #s(literal 1 binary64) (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 (/.f64 eps (pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))
(/.f64 (/.f64 (*.f64 eps #s(literal -2 binary64)) eps) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (*.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 eps x))
(/.f64 (/.f64 (*.f64 eps #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (/.f64 eps x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 eps x)))
(/.f64 (/.f64 (*.f64 eps #s(literal -2 binary64)) (sqrt.f64 (/.f64 eps x))) (sqrt.f64 (/.f64 eps x)))
(pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))
(pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 2 binary64))
(neg.f64 (/.f64 eps (*.f64 (/.f64 eps x) #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (neg.f64 eps) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))
(sqrt.f64 (pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal -2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal -1/8 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
(*.f64 eps (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 eps (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 eps (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/32 binary64) (/.f64 eps (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 eps (+.f64 (*.f64 eps (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/128 binary64) (/.f64 eps (pow.f64 x #s(literal 7 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/128 binary64) (/.f64 eps (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 1/32 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal -2 binary64) x)
(*.f64 x #s(literal -2 binary64))
(+.f64 (*.f64 #s(literal -8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) (*.f64 #s(literal -2 binary64) x))
(fma.f64 x #s(literal -2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal -8 binary64) eps)))
(-.f64 (+.f64 (*.f64 #s(literal -32 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) x)) (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)))
(fma.f64 #s(literal -32 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 x #s(literal -2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal -8 binary64) eps))))
(-.f64 (+.f64 (*.f64 #s(literal -128 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 #s(literal -2 binary64) x)) (+.f64 (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) (*.f64 #s(literal 32 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 eps #s(literal 2 binary64))))))
(-.f64 (fma.f64 #s(literal -128 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 eps #s(literal 3 binary64))) (*.f64 x #s(literal -2 binary64))) (/.f64 (fma.f64 #s(literal 32 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) eps))
(*.f64 #s(literal -2 binary64) x)
(*.f64 x #s(literal -2 binary64))
(+.f64 (*.f64 #s(literal -8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) (*.f64 #s(literal -2 binary64) x))
(fma.f64 x #s(literal -2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal -8 binary64) eps)))
(+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 32 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) eps)) (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps)))
(-.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 32 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) eps))
(+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -128 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) eps)) (*.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 5 binary64)))) eps)) (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps)))
(fma.f64 x #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -128 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) eps) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -32 binary64))) (neg.f64 eps)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 eps)))
(*.f64 #s(literal -2 binary64) x)
(*.f64 x #s(literal -2 binary64))
(*.f64 x (-.f64 (*.f64 #s(literal -8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) #s(literal 2 binary64)))
(*.f64 x (fma.f64 #s(literal -8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal -2 binary64)))
(*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -32 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64)))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -32 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (/.f64 #s(literal -8 binary64) eps)) #s(literal -2 binary64)))
(*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -128 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 #s(literal 32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64)))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -128 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal -32 binary64) (pow.f64 eps #s(literal 2 binary64)))) (/.f64 #s(literal -8 binary64) eps)) #s(literal -2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) eps (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)))) x)
(/.f64 (-.f64 (+.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) x)
(/.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) eps (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64))))) x)
(/.f64 (-.f64 (+.f64 (*.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))))) x)
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) eps (*.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/32 binary64)))) x)
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) eps (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)))) x)
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) x))
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) eps (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/32 binary64))) x)
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))))) (+.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) x))
(/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1/128 binary64) (*.f64 eps #s(literal -1/2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/32 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 x))
(*.f64 #s(literal -1/2 binary64) (/.f64 eps x))
(/.f64 eps (*.f64 x #s(literal -2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) x)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) x)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
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(pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal -2 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64))
(*.f64 x #s(literal -2 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x #s(literal -2 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 2 binary64))
(*.f64 x #s(literal -2 binary64))
(neg.f64 (/.f64 eps (*.f64 (/.f64 eps x) #s(literal 1/2 binary64))))
(*.f64 x #s(literal -2 binary64))
(neg.f64 (/.f64 (neg.f64 eps) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))
(*.f64 x #s(literal -2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))
(*.f64 x #s(literal -2 binary64))
(log.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))))
(*.f64 x #s(literal -2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal -2 binary64)))))
(*.f64 x #s(literal -2 binary64))
(cbrt.f64 (pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))
(*.f64 x #s(literal -2 binary64))
(cbrt.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal -1/8 binary64))))
(*.f64 x #s(literal -2 binary64))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))))
(*.f64 x #s(literal -2 binary64))
(exp.f64 (log.f64 (*.f64 x #s(literal -2 binary64))))
(*.f64 x #s(literal -2 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)))
(*.f64 x #s(literal -2 binary64))

eval97.0ms (1.2%)

Compiler

Compiled 4545 to 2890 computations (36.4% saved)

prune66.0ms (0.8%)

Pruning

18 alts after pruning (8 fresh and 10 done)

PrunedKeptTotal
New3097316
Fresh011
Picked055
Done055
Total30918327
Accuracy
100.0%
Counts
327 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.8%
(/.f64 (/.f64 eps (/.f64 #s(literal -1/2 binary64) x)) eps)
32.0%
(/.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 eps (/.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) eps) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))))) x)
✓40.2%
(/.f64 (*.f64 eps #s(literal 1/2 binary64)) x)
5.3%
(/.f64 eps (/.f64 #s(literal -1/2 binary64) (/.f64 x eps)))
✓40.7%
(/.f64 eps (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))
✓79.6%
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
✓5.3%
(/.f64 eps (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)))
✓5.3%
(/.f64 eps (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))
5.3%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 eps x) (*.f64 eps #s(literal -2 binary64))))
5.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))
✓65.6%
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓62.7%
(-.f64 x (sqrt.f64 (neg.f64 eps)))
5.3%
(*.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) eps) eps)
4.8%
(*.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 eps (/.f64 #s(literal -1/2 binary64) x)))
5.3%
(*.f64 (neg.f64 eps) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64))))
✓5.3%
(*.f64 x #s(literal -2 binary64))
✓40.1%
(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
✓3.5%
x
Compiler

Compiled 416 to 277 computations (33.4% saved)

regimes47.0ms (0.6%)

Counts
25 → 2
Calls
Call 1
Inputs
x
(*.f64 x #s(literal -2 binary64))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (*.f64 eps #s(literal 1/2 binary64)) x)
(*.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) eps) eps)
(/.f64 eps (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))
(/.f64 eps (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)))
(/.f64 eps (/.f64 #s(literal -1/2 binary64) (/.f64 x eps)))
(/.f64 (/.f64 eps (/.f64 #s(literal -1/2 binary64) x)) eps)
(*.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 eps (/.f64 #s(literal -1/2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 eps x) (*.f64 eps #s(literal -2 binary64))))
(*.f64 (neg.f64 eps) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64))))
(/.f64 eps (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))
(-.f64 x (sqrt.f64 (neg.f64 eps)))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(/.f64 eps (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))
(*.f64 eps (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(/.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 eps (/.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) eps) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))))) x)
(/.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))) x)
(*.f64 eps (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) x)
Outputs
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(/.f64 eps (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))
Calls

3 calls:

19.0ms
x
13.0ms
eps
13.0ms
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
Results
AccuracySegmentsBranch
92.8%2x
99.5%2eps
99.5%2(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes24.0ms (0.3%)

Counts
20 → 2
Calls
Call 1
Inputs
x
(*.f64 x #s(literal -2 binary64))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (*.f64 eps #s(literal 1/2 binary64)) x)
(*.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) eps) eps)
(/.f64 eps (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))
(/.f64 eps (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)))
(/.f64 eps (/.f64 #s(literal -1/2 binary64) (/.f64 x eps)))
(/.f64 (/.f64 eps (/.f64 #s(literal -1/2 binary64) x)) eps)
(*.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 eps (/.f64 #s(literal -1/2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 eps x) (*.f64 eps #s(literal -2 binary64))))
(*.f64 (neg.f64 eps) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64))))
(/.f64 eps (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))
(-.f64 x (sqrt.f64 (neg.f64 eps)))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(/.f64 eps (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))
(*.f64 eps (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
Outputs
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(/.f64 eps (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))
Calls

2 calls:

11.0ms
eps
11.0ms
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
Results
AccuracySegmentsBranch
84.2%2eps
99.5%2(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes10.0ms (0.1%)

Counts
17 → 2
Calls
Call 1
Inputs
x
(*.f64 x #s(literal -2 binary64))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (*.f64 eps #s(literal 1/2 binary64)) x)
(*.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) eps) eps)
(/.f64 eps (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))
(/.f64 eps (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)))
(/.f64 eps (/.f64 #s(literal -1/2 binary64) (/.f64 x eps)))
(/.f64 (/.f64 eps (/.f64 #s(literal -1/2 binary64) x)) eps)
(*.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 eps (/.f64 #s(literal -1/2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 eps x) (*.f64 eps #s(literal -2 binary64))))
(*.f64 (neg.f64 eps) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64))))
(/.f64 eps (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))
(-.f64 x (sqrt.f64 (neg.f64 eps)))
Outputs
(-.f64 x (sqrt.f64 (neg.f64 eps)))
(/.f64 eps (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
89.9%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.2%)

Counts
16 → 1
Calls
Call 1
Inputs
x
(*.f64 x #s(literal -2 binary64))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (*.f64 eps #s(literal 1/2 binary64)) x)
(*.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) eps) eps)
(/.f64 eps (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))
(/.f64 eps (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)))
(/.f64 eps (/.f64 #s(literal -1/2 binary64) (/.f64 x eps)))
(/.f64 (/.f64 eps (/.f64 #s(literal -1/2 binary64) x)) eps)
(*.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 eps (/.f64 #s(literal -1/2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 eps x) (*.f64 eps #s(literal -2 binary64))))
(*.f64 (neg.f64 eps) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64))))
(/.f64 eps (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))
Outputs
(/.f64 eps (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))
Calls

2 calls:

6.0ms
x
5.0ms
eps
Results
AccuracySegmentsBranch
40.7%1eps
40.7%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts
15 → 1
Calls
Call 1
Inputs
x
(*.f64 x #s(literal -2 binary64))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (*.f64 eps #s(literal 1/2 binary64)) x)
(*.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) eps) eps)
(/.f64 eps (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))
(/.f64 eps (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)))
(/.f64 eps (/.f64 #s(literal -1/2 binary64) (/.f64 x eps)))
(/.f64 (/.f64 eps (/.f64 #s(literal -1/2 binary64) x)) eps)
(*.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 eps (/.f64 #s(literal -1/2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 eps x) (*.f64 eps #s(literal -2 binary64))))
(*.f64 (neg.f64 eps) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 eps x) #s(literal 1/2 binary64))))
Outputs
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
Calls

2 calls:

6.0ms
eps
4.0ms
x
Results
AccuracySegmentsBranch
40.2%1x
40.2%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

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

2 calls:

2.0ms
x
2.0ms
eps
Results
AccuracySegmentsBranch
5.3%1x
5.3%1eps
Compiler

Compiled 6 to 4 computations (33.3% 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

2 calls:

0.0ms
x
0.0ms
eps
Results
AccuracySegmentsBranch
3.5%1x
3.5%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-2.174136090830565e-151
0.0
Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-2.174136090830565e-151
0.0
Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch13.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
12.0ms
2.2315799631767592e-91
3.4661149573922926e-91
Results
4.0ms34×0valid
5.0ms30×1valid
0.0ms4×0invalid
Compiler

Compiled 103 to 74 computations (28.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 1.0ms (29.3% of total)
ival-sub: 1.0ms (29.3% of total)
ival-sqrt: 1.0ms (29.3% of total)
backward-pass: 1.0ms (29.3% of total)
const: 0.0ms (0% of total)

simplify4.0ms (0%)

Algorithm
1×egg-herbie
Rules
8×+-commutative
7×*-commutative
6×sub-neg
3×neg-sub0
3×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039398
154398
263398
368398
470398
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal -2948408144391829/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496 binary64)) (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (/.f64 eps (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal -2948408144391829/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496 binary64)) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 eps (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))))
(if (<=.f64 x #s(literal 6054836346213789/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992 binary64)) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 eps (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))))
(/.f64 eps (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(*.f64 x #s(literal -2 binary64))
x
Outputs
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal -2948408144391829/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496 binary64)) (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (/.f64 eps (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) #s(literal -2948408144391829/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496 binary64)) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 eps (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))))
(if (<=.f64 x #s(literal 6054836346213789/18347988927920572092886567162416695526372519913346248989900710715095383008707878464560148424881005492436992 binary64)) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 eps (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))))
(/.f64 eps (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(*.f64 (/.f64 eps x) #s(literal 1/2 binary64))
(*.f64 x #s(literal -2 binary64))
x

soundness886.0ms (11.3%)

Rules
759×log1p-expm1-u
759×expm1-log1p-u
746×fma-neg
662×fma-define
659×log1p-expm1-u
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0124630223
1341528081
07044294982148
115844294981540
245854294981200
033268
1480260
27248260
085321382
1210120196
2754520162
01251
115051
2211449
Stop Event
1×fuel
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 765 to 334 computations (56.3% saved)

preprocess71.0ms (0.9%)

Compiler

Compiled 250 to 126 computations (49.6% saved)

end0.0ms (0%)

Profiling

Loading profile data...