2isqrt (example 3.6)

Time bar (total: 8.9s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
100%25%0%75%0%0%0%1
Compiler

Compiled 19 to 12 computations (36.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-div: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
ival-sqrt: 0.0ms (0% of total)
const: 0.0ms (0% of total)
ival->: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-<: 0.0ms (0% of total)

sample2.4s (27.3%)

Results
1.3s6447×1valid
725.0ms1626×2valid
13.0ms183×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.7s
ival-sqrt: 566.0ms (33.5% of total)
ival-div: 394.0ms (23.3% of total)
backward-pass: 238.0ms (14.1% of total)
ival->: 208.0ms (12.3% of total)
ival-sub: 103.0ms (6.1% of total)
ival-add: 102.0ms (6% of total)
ival-<: 37.0ms (2.2% of total)
ival-and: 23.0ms (1.4% of total)
const: 20.0ms (1.2% of total)
Bogosity

preprocess159.0ms (1.8%)

Algorithm
egg-herbie
Rules
97×fma-define
86×fma-neg
41×sub-neg
28×neg-mul-1
27×associate--r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
021176
137168
272164
3129164
4204164
5316164
6419164
7509164
8585164
9639164
10682164
11690164
12692164
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)))))
(neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))))))
Outputs
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))))))
(neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x))))))
(neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (neg.f64 x))))

explain145.0ms (1.6%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1892(1.6021519435837195e+215)0-(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
00-0-x
00-0-(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
00-0-#s(literal 1 binary64)
00-0-(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
00-0-(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
00-0-(sqrt.f64 x)
00-0-(+.f64 x #s(literal 1 binary64))
Results
74.0ms406×1valid
28.0ms90×2valid
1.0ms16×0valid
Compiler

Compiled 80 to 26 computations (67.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-sqrt: 18.0ms (30.8% of total)
ival-div: 17.0ms (29.1% of total)
backward-pass: 10.0ms (17.1% of total)
ival-add: 7.0ms (12% of total)
ival-sub: 6.0ms (10.3% of total)
const: 1.0ms (1.7% of total)

eval0.0ms (0%)

Compiler

Compiled 23 to 11 computations (52.2% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
34.9%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Compiler

Compiled 12 to 8 computations (33.3% saved)

localize117.0ms (1.3%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
cost-diff0
(sqrt.f64 x)
cost-diff0
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
cost-diff0
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
accuracy100.0%
(sqrt.f64 x)
accuracy99.6%
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
accuracy99.5%
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
accuracy35.0%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Rules
45×fma-define
42×fma-neg
17×sub-neg
13×neg-mul-1
12×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013110
121110
229110
340110
453110
575110
6121110
7163110
8226110
9278110
10322110
11330110
12332110
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
Outputs
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
Results
68.0ms203×1valid
15.0ms45×2valid
1.0ms0valid
Compiler

Compiled 34 to 9 computations (73.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-sqrt: 42.0ms (66% of total)
ival-div: 9.0ms (14.2% of total)
backward-pass: 6.0ms (9.4% of total)
ival-sub: 3.0ms (4.7% of total)
ival-add: 3.0ms (4.7% of total)
const: 1.0ms (1.6% of total)

series9.0ms (0.1%)

Counts
4 → 40
Calls
Call 1
Inputs
#<alt (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (sqrt.f64 x))>
#<alt (sqrt.f64 x)>
Outputs
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) x)) x)>
#<alt (/.f64 (+.f64 (sqrt.f64 x) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))) x)>
#<alt (/.f64 (+.f64 (sqrt.f64 x) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -3/8 binary64) x))) #s(literal 1 binary64)))) x)>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -5/16 binary64) x))) #s(literal 1/2 binary64))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))>
#<alt (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))>
#<alt (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))
1.0ms
x
@inf
(- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))
1.0ms
x
@-inf
(sqrt x)
1.0ms
x
@-inf
(/ 1 (sqrt x))
0.0ms
x
@-inf
(/ 1 (sqrt (+ x 1)))

rewrite232.0ms (2.6%)

Algorithm
batch-egg-rewrite
Rules
892×log1p-expm1-u
892×expm1-log1p-u
810×prod-diff
349×fma-define
201×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01381
118765
2263165
Stop Event
node limit
Counts
4 → 192
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(sqrt.f64 x)
Outputs
(+.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(+.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(+.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(+.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(+.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(+.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(+.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
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(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(log.f64 (exp.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(exp.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 x))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(pow.f64 x #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(log.f64 (exp.f64 (pow.f64 x #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (sqrt.f64 x) #s(literal 1 binary64))
(/.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 x))
(log.f64 (exp.f64 (sqrt.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 x))))
(cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 x)))
(exp.f64 (log.f64 (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1 binary64)))

simplify146.0ms (1.6%)

Algorithm
egg-herbie
Rules
482×fma-neg
360×associate-+l+
328×associate-+r+
239×distribute-rgt-in
234×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046812582
1106311330
233658579
Stop Event
node limit
Counts
232 → 318
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) x)) x)
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))) x)
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -3/8 binary64) x))) #s(literal 1 binary64)))) x)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -5/16 binary64) x))) #s(literal 1/2 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(+.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(+.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(+.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(+.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(+.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(+.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(+.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(+.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (fma.f64 (neg.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) #s(literal -1 binary64))) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(+.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal -1/2 binary64)))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))))
(+.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))))
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(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) x)) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(pow.f64 x #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(log.f64 (exp.f64 (pow.f64 x #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (sqrt.f64 x) #s(literal 1 binary64))
(/.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 x))
(log.f64 (exp.f64 (sqrt.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 x))))
(cbrt.f64 (pow.f64 x #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 x)))
(exp.f64 (log.f64 (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
Outputs
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) x)) x)
(/.f64 (+.f64 (sqrt.f64 x) (neg.f64 x)) x)
(/.f64 (-.f64 (sqrt.f64 x) x) x)
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))) x)
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (sqrt.f64 x)) x)
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -3/8 binary64) x))) #s(literal 1 binary64)))) x)
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 x (fma.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -3/8 binary64))) #s(literal -1 binary64)))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -3/8 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (sqrt.f64 x)) x)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64)))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) #s(literal -1/2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))) (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64)))
(-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64))))
(-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/4 binary64) (/.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(-.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/4 binary64) (/.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 3/8 binary64) x #s(literal -1/2 binary64))))
(fma.f64 x (fma.f64 x #s(literal 3/8 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -5/16 binary64) x))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (+.f64 #s(literal 3/8 binary64) (*.f64 x #s(literal -5/16 binary64))) #s(literal -1/2 binary64))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/16 binary64) #s(literal 3/8 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (*.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
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(exp.f64 (log.f64 (sqrt.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
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(sqrt.f64 x)

eval42.0ms (0.5%)

Compiler

Compiled 7049 to 880 computations (87.5% saved)

prune66.0ms (0.7%)

Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New29721318
Fresh000
Picked101
Done000
Total29821319
Accuracy
82.6%
Counts
319 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
15.4%
(fma.f64 (+.f64 (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (*.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))))
35.0%
(pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
35.0%
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) #s(literal 3 binary64))
35.0%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
81.6%
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (pow.f64 x #s(literal 2 binary64)))
81.6%
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (pow.f64 x #s(literal 2 binary64)))
35.0%
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))
80.3%
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))
35.0%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))))
35.0%
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
26.6%
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
21.4%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) #s(literal -2 binary64)))
26.5%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
8.2%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (exp.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 x)))))
34.8%
(+.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 #s(literal 1 binary64) x))))) (fma.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 #s(literal 1 binary64) x)))))))
16.8%
(+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (*.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))) (*.f64 (+.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
80.3%
(*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
63.7%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
5.9%
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
35.0%
(exp.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
35.0%
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) #s(literal 3 binary64)))
Compiler

Compiled 840 to 514 computations (38.8% saved)

localize716.0ms (8.1%)

Algorithm
egg-herbie
Localize:

Found 36 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
cost-diff0
(pow.f64 x #s(literal -1/2 binary64))
cost-diff0
(pow.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) #s(literal 3 binary64))
cost-diff12928
(pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
cost-diff0
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
cost-diff0
(*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
cost-diff0
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
cost-diff0
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
cost-diff0
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
cost-diff128
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x))))
cost-diff128
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
accuracy100.0%
(+.f64 #s(literal 1 binary64) x)
accuracy99.7%
(pow.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) #s(literal 3 binary64))
accuracy54.7%
(pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
accuracy35.0%
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
accuracy100.0%
(pow.f64 x #s(literal 2 binary64))
accuracy100.0%
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
accuracy99.8%
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy82.9%
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))
accuracy100.0%
(+.f64 #s(literal 1 binary64) x)
accuracy100.0%
(+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
accuracy84.6%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
accuracy51.1%
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy99.8%
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy80.9%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
accuracy75.4%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
accuracy74.3%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x)))
accuracy67.6%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
Rules
584×fma-define
465×associate-+l-
445×distribute-rgt-in
434×times-frac
411×sub-neg
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0511389
11181317
23281311
311501281
439381279
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
#s(literal -1/2 binary64)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))
#s(literal 1 binary64)
(pow.f64 x #s(literal 5 binary64))
x
#s(literal 5 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))
(sqrt.f64 x)
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x))
(*.f64 #s(literal 1/4 binary64) x)
#s(literal 1/4 binary64)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(pow.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
#s(literal -1/2 binary64)
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(sqrt.f64 x)
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) #s(literal 3 binary64))
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(pow.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal 1/3 binary64)
Outputs
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 x))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(-.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 x))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/4 binary64))))
#s(literal -1/2 binary64)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))
#s(literal 1 binary64)
(pow.f64 x #s(literal 5 binary64))
x
#s(literal 5 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1/2 binary64) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))
(sqrt.f64 x)
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64)))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/8 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64)))
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/4 binary64) x)
(*.f64 x #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(pow.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(literal -1/2 binary64)
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(sqrt.f64 x)
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(pow.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) #s(literal 3 binary64))
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(pow.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal 1/3 binary64)
Results
284.0ms163×1valid
259.0ms83×2valid
6.0ms10×0valid
Compiler

Compiled 423 to 47 computations (88.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 392.0ms
ival-pow: 186.0ms (47.5% of total)
backward-pass: 91.0ms (23.2% of total)
ival-mult: 36.0ms (9.2% of total)
ival-div: 31.0ms (7.9% of total)
ival-add: 18.0ms (4.6% of total)
ival-sqrt: 16.0ms (4.1% of total)
ival-sub: 11.0ms (2.8% of total)
const: 3.0ms (0.8% of total)

series54.0ms (0.6%)

Counts
23 → 213
Calls
Call 1
Inputs
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))>
#<alt (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))>
#<alt (+.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))>
#<alt (pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))>
#<alt (pow.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) #s(literal 3 binary64))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x))))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))>
#<alt (pow.f64 x #s(literal -1/2 binary64))>
#<alt (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))>
#<alt (/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))>
#<alt (/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))>
#<alt (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)>
#<alt (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)>
#<alt (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x))>
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#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
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#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x)) x)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) x)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) x))>
#<alt (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) x)>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -5/16 binary64) x))) #s(literal 1/2 binary64))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))>
#<alt (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))>
#<alt (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
Calls

69 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
(pow (- (pow x -1/2) (pow (+ 1 x) -1/2)) 3)
3.0ms
x
@-inf
(/ (- (/ 1 x) (/ 1 (+ 1 x))) (+ (pow x -1/2) (pow (+ 1 x) -1/2)))
2.0ms
x
@-inf
(/ 1 (pow x 5))
2.0ms
x
@0
(/ (- (/ 1 x) (/ 1 (+ 1 x))) (+ (pow x -1/2) (pow (+ 1 x) -1/2)))
2.0ms
x
@inf
(pow (- (pow x -1/2) (pow (+ 1 x) -1/2)) 3)

rewrite170.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
354×log1p-expm1-u
354×expm1-log1p-u
333×pow1
333×add-cube-cbrt
330×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
045688
1797520
Stop Event
node limit
Counts
23 → 522
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) x)
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(pow.f64 x #s(literal 2 binary64))
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) #s(literal 3 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(pow.f64 x #s(literal -1/2 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal -3/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -3/2 binary64))) (sqrt.f64 (pow.f64 x #s(literal -3/2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64)))))
(pow.f64 x #s(literal -3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (pow.f64 x #s(literal -3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64))
(log.f64 (exp.f64 (pow.f64 x #s(literal -3/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal -3/2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -3/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal -3/2 binary64))))
(exp.f64 (log.f64 (pow.f64 x #s(literal -3/2 binary64))))
(exp.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -3/2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 3 binary64)))
(+.f64 (pow.f64 x #s(literal -3/2 binary64)) (*.f64 (*.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal -3/2 binary64))))
(+.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (*.f64 x #s(literal 1/4 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal -3/2 binary64))) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3/2 binary64)) (*.f64 (*.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal -3/2 binary64))))
(fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (*.f64 x #s(literal 1/4 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal -3/2 binary64))))
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3/2 binary64))) (sqrt.f64 (pow.f64 x #s(literal -3/2 binary64))) (*.f64 (*.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal -3/2 binary64))))
(+.f64 (pow.f64 x #s(literal -5/2 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal -5/2 binary64))))
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(pow.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(log.f64 (exp.f64 (pow.f64 x #s(literal -5 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal -5 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -5 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal -5 binary64))))
(exp.f64 (*.f64 #s(literal -5 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -5 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -5 binary64) (log.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(exp.f64 (neg.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log1p.f64 x) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))))
(exp.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(log.f64 (exp.f64 (pow.f64 x #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 x #s(literal -3/2 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal -1/2 binary64))))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 #s(literal 1 binary64) x))) (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(log.f64 (exp.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log1p.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log1p.f64 x)) #s(literal 1 binary64)))

simplify328.0ms (3.7%)

Algorithm
egg-herbie
Rules
779×fma-define
568×associate-*r*
402×times-frac
309×distribute-lft-in
299×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0130731344
1303526934
Stop Event
node limit
Counts
735 → 810
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)))) x)
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) x))) (pow.f64 x #s(literal 2 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
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(log.f64 (exp.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log1p.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log1p.f64 x)) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))
(/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) x)
(/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) x)
(/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) x)
(/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) x)
(/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) x)
(/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) x)
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) x))
(/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) x))
(/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) x))
(/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) x) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) x)
(/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) x)
(/.f64 (fma.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) x))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (pow.f64 x #s(literal 2 binary64)))
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(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal -1 binary64) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(log.f64 (exp.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log1p.f64 x)))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log1p.f64 x)) #s(literal 1 binary64)))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))

eval200.0ms (2.3%)

Compiler

Compiled 31548 to 4383 computations (86.1% saved)

prune292.0ms (3.3%)

Pruning

23 alts after pruning (22 fresh and 1 done)

PrunedKeptTotal
New1046181064
Fresh12416
Picked415
Done000
Total1062231085
Accuracy
99.9%
Counts
1085 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.9%
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64))
96.8%
(pow.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))) x) #s(literal 2 binary64))
5.9%
(pow.f64 x #s(literal -1/2 binary64))
82.0%
(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
82.8%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
33.6%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -1/2 binary64))))
33.6%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
81.6%
(/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (pow.f64 x #s(literal 2 binary64)))
81.6%
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (pow.f64 x #s(literal 2 binary64)))
96.9%
(/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) x)
80.2%
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))
80.3%
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))) (pow.f64 x #s(literal 2 binary64)))
80.3%
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (*.f64 x x))
80.3%
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal -1/2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
80.2%
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))))
5.9%
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
35.0%
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
26.6%
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
82.1%
(*.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))))
63.7%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
5.9%
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
5.9%
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)))
29.8%
(cbrt.f64 (pow.f64 x #s(literal -3/2 binary64)))
Compiler

Compiled 637 to 448 computations (29.7% saved)

localize455.0ms (5.1%)

Algorithm
egg-herbie
Localize:

Found 32 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(-.f64 (/.f64 #s(literal 1 binary64) x) x)
cost-diff0
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))
cost-diff0
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
cost-diff0
(pow.f64 x #s(literal -1/2 binary64))
cost-diff0
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
cost-diff0
(log.f64 x)
cost-diff0
(*.f64 #s(literal -1/2 binary64) (log.f64 x))
cost-diff6464
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)))
cost-diff0
(pow.f64 x #s(literal -1/2 binary64))
cost-diff128
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
cost-diff128
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))
cost-diff256
(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
cost-diff256
(/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) x)
accuracy100.0%
(pow.f64 x #s(literal 2 binary64))
accuracy100.0%
(+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))
accuracy99.2%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))
accuracy82.9%
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))) (pow.f64 x #s(literal 2 binary64)))
accuracy100.0%
(+.f64 x #s(literal 1 binary64))
accuracy100.0%
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
accuracy99.5%
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
accuracy35.0%
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
accuracy100.0%
(*.f64 #s(literal -1/2 binary64) (log.f64 x))
accuracy100.0%
(log.f64 x)
accuracy92.7%
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)))
accuracy100.0%
(pow.f64 x #s(literal -1/2 binary64))
accuracy100.0%
(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
accuracy99.7%
(/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) x)
accuracy99.0%
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
accuracy67.6%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
Rules
493×div-sub
396×times-frac
376×unsub-neg
342×fma-define
337×distribute-lft-in
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
034599
166599
2119599
3220591
4447588
51229577
64277547
76993543
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) x)
(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
#s(literal 1 binary64)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal 1/2 binary64)
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(pow.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(pow.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)))
(*.f64 #s(literal -1/2 binary64) (log.f64 x))
#s(literal -1/2 binary64)
(log.f64 x)
x
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(pow.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
#s(literal 1 binary64)
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))))
#s(literal -1/2 binary64)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))
(pow.f64 x #s(literal -1/2 binary64))
(sqrt.f64 x)
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) x)
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal -1/2 binary64)))) x)
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal -1/2 binary64))) x))
(*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) (pow.f64 x #s(literal -1/2 binary64))) x))
(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(sqrt.f64 (pow.f64 x #s(literal -3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal -3 binary64))
#s(literal 1 binary64)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal 1/2 binary64)
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(pow.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)))
(pow.f64 x #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (log.f64 x))
#s(literal -1/2 binary64)
(log.f64 x)
x
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(+.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(pow.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
#s(literal 1 binary64)
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1/2 binary64) x)) (*.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 x (sqrt.f64 x) (pow.f64 x #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) (+.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1/2 binary64) x)) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))
#s(literal -1/2 binary64)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))
(pow.f64 x #s(literal -1/2 binary64))
(sqrt.f64 x)
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
Results
239.0ms206×1valid
76.0ms42×2valid
3.0ms0valid
Compiler

Compiled 184 to 30 computations (83.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 163.0ms
ival-pow: 41.0ms (25.1% of total)
ival-add: 34.0ms (20.8% of total)
ival-div: 22.0ms (13.5% of total)
backward-pass: 18.0ms (11% of total)
ival-mult: 17.0ms (10.4% of total)
ival-sqrt: 12.0ms (7.3% of total)
ival-log: 7.0ms (4.3% of total)
ival-exp: 6.0ms (3.7% of total)
ival-sub: 5.0ms (3.1% of total)
const: 2.0ms (1.2% of total)

series85.0ms (1%)

Counts
15 → 160
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) x)>
#<alt (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))>
#<alt (pow.f64 x #s(literal -1/2 binary64))>
#<alt (exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)))>
#<alt (log.f64 x)>
#<alt (*.f64 #s(literal -1/2 binary64) (log.f64 x))>
#<alt (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))>
#<alt (sqrt.f64 (+.f64 x #s(literal 1 binary64)))>
#<alt (+.f64 x #s(literal 1 binary64))>
#<alt (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))>
#<alt (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))>
#<alt (-.f64 (/.f64 #s(literal 1 binary64) x) x)>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x)>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))>
#<alt (*.f64 #s(literal -1/2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))>
#<alt (*.f64 #s(literal -1/2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))>
#<alt (*.f64 #s(literal -1/2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) x)) x)>
#<alt (/.f64 (+.f64 (sqrt.f64 x) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))) x)>
#<alt (/.f64 (+.f64 (sqrt.f64 x) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -3/8 binary64) x))) #s(literal 1 binary64)))) x)>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))) x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))))>
#<alt (sqrt.f64 x)>
#<alt (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))>
#<alt (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))))>
#<alt (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 #s(literal 1 binary64) x)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))>
#<alt (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))>
#<alt (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 x))>
#<alt (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))>
#<alt (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))>
#<alt (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))>
#<alt (sqrt.f64 x)>
#<alt (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) x)>
#<alt (/.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) x)>
#<alt (/.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) x)>
#<alt (sqrt.f64 x)>
#<alt (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))>
#<alt (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))>
#<alt (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
Calls

45 calls:

TimeVariablePointExpression
34.0ms
x
@0
(log x)
13.0ms
x
@-inf
(log x)
11.0ms
x
@inf
(log x)
1.0ms
x
@-inf
(/ (* -1/2 (/ (- (/ 1 x) x) (+ (pow x -1/2) (sqrt x)))) (pow x 2))
1.0ms
x
@-inf
(/ (+ (* (sqrt (/ 1 (pow x 3))) 1/2) (* (pow x -1/2) 1/2)) x)

rewrite143.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
257×log1p-expm1-u
257×expm1-log1p-u
244×add-cube-cbrt
242×add-exp-log
242×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034367
1595303
Stop Event
node limit
Counts
15 → 476
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) x)
(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(pow.f64 x #s(literal -1/2 binary64))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)))
(log.f64 x)
(*.f64 #s(literal -1/2 binary64) (log.f64 x))
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))
(+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) x) x)
Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -3/2 binary64))) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3/2 binary64))) (pow.f64 x #s(literal -3/2 binary64))))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (sqrt.f64 (pow.f64 x #s(literal -3/2 binary64)))) (sqrt.f64 (pow.f64 x #s(literal -3/2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 x #s(literal -3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))
(sqrt.f64 (pow.f64 x #s(literal -6 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal -3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal -3 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal -3 binary64))))
(exp.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) (sqrt.f64 x)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) x))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) x))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) x))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) x))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))) (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))) x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) x))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))) x))
(*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))) (cbrt.f64 x)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
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(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))) (+.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64))))))
(/.f64 (-.f64 x (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64))))
(pow.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))))
(exp.f64 (log.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 x))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)) (pow.f64 x #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)) (sqrt.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3/2 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal -3/2 binary64))) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) x))
(*.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x)) (pow.f64 (cbrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x)))
(*.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x)) (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x)))
(*.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) x) (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) x)))
(/.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x)))
(pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x)))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x)))
(exp.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (neg.f64 x))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 x))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (neg.f64 x))

simplify219.0ms (2.5%)

Algorithm
egg-herbie
Rules
550×associate-*r*
534×associate-*l*
433×times-frac
387×fma-define
231×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0114123510
1263621445
Stop Event
node limit
Counts
636 → 732
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x)
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1/2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(*.f64 #s(literal -1/2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(*.f64 #s(literal -1/2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(*.f64 #s(literal -1/2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) x)) x)
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))) x)
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -3/8 binary64) x))) #s(literal 1 binary64)))) x)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))
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(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))) x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))))
(sqrt.f64 x)
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (pow.f64 x #s(literal 2 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(*.f64 #s(literal -1 binary64) (sqrt.f64 x))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) x)
(/.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) x)
(/.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) x)
(sqrt.f64 x)
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -3/2 binary64))) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3/2 binary64))) (pow.f64 x #s(literal -3/2 binary64))))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -3 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (sqrt.f64 (pow.f64 x #s(literal -3/2 binary64)))) (sqrt.f64 (pow.f64 x #s(literal -3/2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 x #s(literal -3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))
(sqrt.f64 (pow.f64 x #s(literal -6 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal -3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal -3 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal -3 binary64))))
(exp.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) (sqrt.f64 x)))
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(*.f64 (/.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x)) (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x)) (cbrt.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))))
(*.f64 (+.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (-.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))))
(pow.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) #s(literal -1 binary64))
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (neg.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x)) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))))
(log.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal -1/2 binary64))) (exp.f64 (sqrt.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 3 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))))
(exp.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)) (neg.f64 (sqrt.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) (/.f64 x (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))))
(*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))))
(*.f64 (cbrt.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))))
(*.f64 (hypot.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64))) (hypot.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64))))
(*.f64 (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1 binary64) x) x)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x)) (neg.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))))
(/.f64 (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))) (+.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64))))))
(/.f64 (-.f64 x (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64))))
(pow.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))))
(exp.f64 (log.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 x))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)) (pow.f64 x #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)) (sqrt.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3/2 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal -3/2 binary64))) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) x))
(*.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x)) (pow.f64 (cbrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x)))
(*.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x)) (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x)))
(*.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) x) (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) x)))
(/.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x)))
(pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x)))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x)))
(exp.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (neg.f64 x))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 x))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (neg.f64 x))
Outputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64))))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x)
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x)
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x)
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal -1/2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x))
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(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64))))
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(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))
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(/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 x))) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/4 binary64) (/.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (sqrt.f64 x))) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))) x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) (fma.f64 #s(literal -1/4 binary64) (/.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))))
(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(sqrt.f64 x)
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))))))
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(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
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#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/2 binary64))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))
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(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64))))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal -1/2 binary64))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (pow.f64 x #s(literal 2 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(*.f64 #s(literal -1 binary64) (sqrt.f64 x))
(neg.f64 (sqrt.f64 x))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))
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(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) #s(literal 1 binary64)))
(+.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))
(+.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64)))
(+.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 x))
(+.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (cbrt.f64 x)) (sqrt.f64 x))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)) (pow.f64 x #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 (hypot.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64))) #s(literal 2 binary64))
(+.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)) (sqrt.f64 x))
(+.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3/2 binary64)))))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3/2 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3/2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3/2 binary64)))
(pow.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 3 binary64))))
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3/2 binary64)))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/4 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -3 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal -3/2 binary64))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3/2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(cbrt.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3/2 binary64)))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3/2 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) x)
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 (neg.f64 x) x))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 #s(literal 0 binary64) x))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 (neg.f64 x) x))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 #s(literal 0 binary64) x))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 (neg.f64 x) x))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 #s(literal 0 binary64) x))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) x)
(*.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) x))
(-.f64 (/.f64 #s(literal 1 binary64) x) x)
(*.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))
(*.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) (+.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x)) (pow.f64 (cbrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) x)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) x)
(*.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x)) (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) x)
(*.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) x)))
(*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 x (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) x) (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 x (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) x))
(*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 x (/.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (+.f64 x (/.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) x) x))
(/.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x)))))
(*.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x)))
(*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 x (/.f64 #s(literal 1 binary64) x)))
(pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) x) x)
(pow.f64 (cbrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) x) x)
(pow.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) x) x)
(pow.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) x) x)
(sqrt.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)))
(fabs.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x))
(log.f64 (exp.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x))))
(-.f64 (/.f64 #s(literal 1 binary64) x) x)
(cbrt.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 3 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) x)
(expm1.f64 (log1p.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x)))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) x)
(exp.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) x)
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) x)
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (neg.f64 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) x)
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 x))
(-.f64 (pow.f64 x #s(literal -1 binary64)) x)
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (neg.f64 x))
(-.f64 (*.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x))) x)

eval125.0ms (1.4%)

Compiler

Compiled 17467 to 3403 computations (80.5% saved)

prune135.0ms (1.5%)

Pruning

23 alts after pruning (20 fresh and 3 done)

PrunedKeptTotal
New93612948
Fresh9817
Picked325
Done011
Total94823971
Accuracy
100.0%
Counts
971 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.8%
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) x))) #s(literal 3 binary64))
5.9%
(pow.f64 x #s(literal -1/2 binary64))
82.0%
(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
82.8%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
33.6%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -1/2 binary64))))
33.6%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
81.6%
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/4 binary64) (/.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (sqrt.f64 x))) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))
96.8%
(/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))) x)
80.2%
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))
96.9%
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))) x)
97.0%
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
80.3%
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))) (*.f64 x x))
80.3%
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (*.f64 x x))
95.4%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))))
5.9%
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
35.0%
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
26.6%
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
97.0%
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) x) (/.f64 #s(literal -1/2 binary64) x))
95.8%
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (cbrt.f64 x)))
96.8%
(*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) x))
64.9%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
65.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64))))
5.9%
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 602 to 421 computations (30.1% saved)

localize233.0ms (2.6%)

Algorithm
egg-herbie
Localize:

Found 34 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
cost-diff0
(pow.f64 x #s(literal -1/2 binary64))
cost-diff0
(+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
cost-diff0
(+.f64 #s(literal 1 binary64) x)
cost-diff0
(pow.f64 x #s(literal -1/2 binary64))
cost-diff0
(+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
cost-diff0
(*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))))
cost-diff0
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))) x)
cost-diff0
(pow.f64 x #s(literal -3 binary64))
cost-diff0
(sqrt.f64 (pow.f64 x #s(literal -3 binary64)))
cost-diff0
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64))))
cost-diff0
(sqrt.f64 x)
cost-diff0
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
cost-diff0
(pow.f64 x #s(literal -1/2 binary64))
cost-diff0
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))
cost-diff6272
(/.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) x)
cost-diff6400
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) x) (/.f64 #s(literal -1/2 binary64) x))
accuracy100.0%
(*.f64 x (+.f64 #s(literal 1 binary64) x))
accuracy100.0%
(+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
accuracy98.6%
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
accuracy84.6%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
accuracy100.0%
(pow.f64 x #s(literal -3/2 binary64))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))))
accuracy100.0%
(+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
accuracy99.7%
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))) x)
accuracy100.0%
(pow.f64 x #s(literal -3 binary64))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64))))
accuracy67.6%
(sqrt.f64 (pow.f64 x #s(literal -3 binary64)))
accuracy100.0%
(sqrt.f64 x)
accuracy99.6%
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
accuracy100.0%
(sqrt.f64 x)
accuracy100.0%
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))
accuracy99.7%
(/.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) x)
accuracy99.6%
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) x) (/.f64 #s(literal -1/2 binary64) x))
Rules
684×fma-define
534×times-frac
416×unsub-neg
366×distribute-lft-neg-in
358×distribute-rgt-neg-in
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
031513
169513
2114510
3278507
4672505
51575501
62905499
74789493
87051493
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) x) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) x)
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))
(pow.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
(sqrt.f64 x)
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64))))
#s(literal 1/2 binary64)
(sqrt.f64 (pow.f64 x #s(literal -3 binary64)))
(pow.f64 x #s(literal -3 binary64))
x
#s(literal -3 binary64)
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))) x)
(*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))))
#s(literal 1/2 binary64)
(+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
(pow.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
(pow.f64 x #s(literal -3/2 binary64))
#s(literal -3/2 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
#s(literal 1 binary64)
(*.f64 x (+.f64 #s(literal 1 binary64) x))
x
(+.f64 #s(literal 1 binary64) x)
(+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(pow.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) x) (/.f64 #s(literal -1/2 binary64) x))
(*.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1/2 binary64) x))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) x)
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))
(pow.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
(sqrt.f64 x)
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64))))
#s(literal 1/2 binary64)
(sqrt.f64 (pow.f64 x #s(literal -3 binary64)))
(pow.f64 x #s(literal -3 binary64))
x
#s(literal -3 binary64)
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))) x)
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))) x))
(*.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))))
#s(literal 1/2 binary64)
(+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
(pow.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
(pow.f64 x #s(literal -3/2 binary64))
#s(literal -3/2 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (fma.f64 x (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (fma.f64 x (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 x x x))
#s(literal 1 binary64)
(*.f64 x (+.f64 #s(literal 1 binary64) x))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
x
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(pow.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))
Results
98.0ms256×0valid
Compiler

Compiled 151 to 27 computations (82.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-pow: 33.0ms (49.6% of total)
ival-div: 10.0ms (15% of total)
ival-mult: 10.0ms (15% of total)
ival-sqrt: 6.0ms (9% of total)
ival-add: 4.0ms (6% of total)
ival-sub: 1.0ms (1.5% of total)
const: 1.0ms (1.5% of total)
backward-pass: 0.0ms (0% of total)

series26.0ms (0.3%)

Counts
13 → 153
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) x) (/.f64 #s(literal -1/2 binary64) x))>
#<alt (/.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) x)>
#<alt (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))>
#<alt (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64))))>
#<alt (pow.f64 x #s(literal -3 binary64))>
#<alt (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))) x)>
#<alt (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))))>
#<alt (pow.f64 x #s(literal -3/2 binary64))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) x))>
Outputs
#<alt (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))>
#<alt (/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) x)>
#<alt (/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) x)>
#<alt (/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) x)>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 x))>
#<alt (*.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
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#<alt (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) x))) (pow.f64 x #s(literal 2 binary64)))>
#<alt x>
#<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) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<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) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
Calls

39 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(* (/ (- (pow x -1/2) (sqrt x)) x) (/ -1/2 x))
1.0ms
x
@-inf
(/ (/ 1 (* x (+ 1 x))) (+ (pow x -1/2) (pow (+ 1 x) -1/2)))
1.0ms
x
@0
(/ (/ 1 (* x (+ 1 x))) (+ (pow x -1/2) (pow (+ 1 x) -1/2)))
1.0ms
x
@inf
(/ (/ 1 (* x (+ 1 x))) (+ (pow x -1/2) (pow (+ 1 x) -1/2)))
1.0ms
x
@-inf
(/ (* 1/2 (+ (pow x -1/2) (pow x -3/2))) x)

rewrite247.0ms (2.8%)

Algorithm
batch-egg-rewrite
Rules
409×log1p-expm1-u
227×expm1-log1p-u
220×add-cube-cbrt
219×add-log-exp
219×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030349
1520335
27778335
Stop Event
node limit
Counts
13 → 455
Calls
Call 1
Inputs
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) x) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) x)
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))
(sqrt.f64 (pow.f64 x #s(literal -3 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64))))
(pow.f64 x #s(literal -3 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))) x)
(+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))))
(pow.f64 x #s(literal -3/2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) x))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal -1/2 binary64) x)))) #s(literal 1 binary64))
(/.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) x))
(/.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) (*.f64 x (*.f64 x #s(literal -2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) (*.f64 (*.f64 x #s(literal -2 binary64)) x))
(/.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 x #s(literal -2 binary64)))
(/.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) (neg.f64 x)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) (*.f64 x #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) (*.f64 (*.f64 x #s(literal -2 binary64)) (neg.f64 x)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) x)
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) #s(literal 1 binary64)) (*.f64 (neg.f64 x) (*.f64 x #s(literal -2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) #s(literal 1/2 binary64)) (*.f64 x (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) #s(literal -1/2 binary64)) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))) (*.f64 x (neg.f64 x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))) (*.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))) (neg.f64 (pow.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))) (neg.f64 x))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) (neg.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (neg.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) (neg.f64 x))
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(pow.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))) x) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) (/.f64 #s(literal -1/2 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal -1/2 binary64) x)))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #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 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal -1/2 binary64) x))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal -1/2 binary64) x))))
(exp.f64 (log.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal -1/2 binary64) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64)))
(+.f64 (pow.f64 x #s(literal -3/2 binary64)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(*.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) (sqrt.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) x))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) (*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) (cbrt.f64 x)))
(pow.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) x))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))))
(exp.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(+.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 x)))
(+.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(+.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64) (sqrt.f64 x)))
(+.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x)))
(+.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 x)))
(+.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))
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(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) x))
(pow.f64 (+.f64 x (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x (pow.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (+.f64 x (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (+.f64 x (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (+.f64 x (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (+.f64 (log.f64 x) (log1p.f64 x)))
(exp.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) x (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (pow.f64 x #s(literal 2 binary64)))

simplify226.0ms (2.5%)

Algorithm
egg-herbie
Rules
511×times-frac
507×associate-*r*
490×associate-*l*
352×fma-define
270×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0102824069
1248921899
Stop Event
node limit
Counts
608 → 658
Calls
Call 1
Inputs
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) x)
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) x)
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) x)
(*.f64 #s(literal -1 binary64) (sqrt.f64 x))
(*.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x)
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
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(sqrt.f64 (/.f64 (pow.f64 (+.f64 x (pow.f64 x #s(literal 2 binary64))) #s(literal -2 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))))))
(exp.f64 (neg.f64 (log.f64 (*.f64 (+.f64 x (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (+.f64 x (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 x (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (pow.f64 (+.f64 x (pow.f64 x #s(literal 2 binary64))) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (pow.f64 x #s(literal 2 binary64))) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 x (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (+.f64 x (pow.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal -1 binary64)) (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) x))
(pow.f64 (+.f64 x (pow.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 x (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 x (pow.f64 x #s(literal 2 binary64)))))
(sqrt.f64 (pow.f64 (+.f64 x (pow.f64 x #s(literal 2 binary64))) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))))
(exp.f64 (neg.f64 (+.f64 (log.f64 x) (log1p.f64 x))))
(exp.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (+.f64 (log.f64 x) (log1p.f64 x))) #s(literal 1 binary64)))
(+.f64 x (pow.f64 x #s(literal 2 binary64)))
(+.f64 x (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) x)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 x (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (*.f64 x (neg.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (-.f64 x (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) x))
(pow.f64 (+.f64 x (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x (pow.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (+.f64 x (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (+.f64 x (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (+.f64 x (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (+.f64 (log.f64 x) (log1p.f64 x)))
(exp.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) x (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (pow.f64 x #s(literal 2 binary64)))
Outputs
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x))
(neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x))
(neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x))
(neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
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(expm1.f64 (log1p.f64 (+.f64 x (pow.f64 x #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (fma.f64 x x x)))
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(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x x x)
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(fma.f64 x x x)
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(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x x x)
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(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x x x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (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) x)))
(fma.f64 x x x)
(fma.f64 #s(literal 1 binary64) x (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) x)))
(fma.f64 x x x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (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) x)))
(fma.f64 x x x)

eval118.0ms (1.3%)

Compiler

Compiled 18290 to 3121 computations (82.9% saved)

prune145.0ms (1.6%)

Pruning

25 alts after pruning (20 fresh and 5 done)

PrunedKeptTotal
New97916995
Fresh11415
Picked325
Done033
Total993251018
Accuracy
100.0%
Counts
1018 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.9%
(pow.f64 x #s(literal -1/2 binary64))
84.6%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
82.8%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
82.6%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)))))
80.6%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
80.3%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -1/2 binary64))))
80.3%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
82.8%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
97.0%
(/.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))))
80.3%
(/.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) (*.f64 (*.f64 x #s(literal -2 binary64)) x))
97.2%
(/.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 x #s(literal -2 binary64)))
33.6%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -1/2 binary64))))
33.6%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
97.0%
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
82.8%
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (fma.f64 x x x)))
5.9%
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
95.7%
(/.f64 #s(literal 1/2 binary64) (/.f64 x (neg.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))))
35.0%
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
26.6%
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
96.8%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) x))
96.9%
(*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1/2 binary64) x))
97.3%
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3/2 binary64)))
97.0%
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x))
95.5%
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 x #s(literal -1/2 binary64)))))
5.9%
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 1343 to 458 computations (65.9% saved)

regimes79.0ms (0.9%)

Counts
68 → 2
Calls
Call 1
Inputs
(pow.f64 x #s(literal -1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 x #s(literal -1/2 binary64)))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(cbrt.f64 (pow.f64 x #s(literal -3/2 binary64)))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)))
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))) x)
(/.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 x #s(literal -2 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) x) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x (neg.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) (*.f64 (*.f64 x #s(literal -2 binary64)) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (*.f64 x x))
(/.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))) (*.f64 x x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (exp.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 x)))))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (fma.f64 x x x)))
(/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) x)
(/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))) x)
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))) x) #s(literal 2 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) x))) #s(literal 3 binary64))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal -1/2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (cbrt.f64 x)))
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/4 binary64) (/.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (sqrt.f64 x))) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (*.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))) (*.f64 (+.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (+.f64 (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (*.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))))
(+.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 #s(literal 1 binary64) x))))) (fma.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 #s(literal 1 binary64) x)))))))
Outputs
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
Calls

2 calls:

61.0ms
x
14.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
100.0%2x
100.0%2(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes21.0ms (0.2%)

Counts
38 → 2
Calls
Call 1
Inputs
(pow.f64 x #s(literal -1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 x #s(literal -1/2 binary64)))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(cbrt.f64 (pow.f64 x #s(literal -3/2 binary64)))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)))
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))) x)
(/.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 x #s(literal -2 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) x) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x (neg.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) (*.f64 (*.f64 x #s(literal -2 binary64)) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (*.f64 x x))
(/.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))) (*.f64 x x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))))
Outputs
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
Calls

2 calls:

11.0ms
x
8.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
100.0%2x
100.0%2(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes17.0ms (0.2%)

Counts
33 → 1
Calls
Call 1
Inputs
(pow.f64 x #s(literal -1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 x #s(literal -1/2 binary64)))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(cbrt.f64 (pow.f64 x #s(literal -3/2 binary64)))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)))
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))) x)
(/.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 x #s(literal -2 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) x) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 x (neg.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) (*.f64 (*.f64 x #s(literal -2 binary64)) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (*.f64 x x))
(/.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) (/.f64 #s(literal -1/2 binary64) x))
Outputs
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3/2 binary64)))
Calls

2 calls:

9.0ms
x
7.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
97.3%1x
97.3%1(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes2.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
5.9%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
1.3234889800848443e-22
Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
1.3234889800848443e-22
Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify57.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
038289
151289
259289
365289
472289
584289
6100289
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3/2 binary64)))
(pow.f64 x #s(literal -1/2 binary64))
Outputs
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3/2 binary64)))
(pow.f64 x #s(literal -1/2 binary64))

soundness1.3s (15%)

Rules
892×log1p-expm1-u
892×expm1-log1p-u
810×prod-diff
779×fma-define
568×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0102824069
1248921899
030349
1520335
27778335
01381
118765
2263165
046812582
1106311330
233658579
045688
1797520
0114123510
1263621445
0130731344
1303526934
Stop Event
fuel
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 1025 to 295 computations (71.2% saved)

preprocess106.0ms (1.2%)

Compiler

Compiled 226 to 94 computations (58.4% saved)

end0.0ms (0%)

Profiling

Loading profile data...