Diagrams.TwoD.Apollonian:initialConfig from diagrams-contrib-1.3.0.5, B

Time bar (total: 6.2s)

analyze151.0ms (2.4%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
30.8%25%56.2%0.1%0%18.7%0%7
30.8%25%56.2%0.1%0%18.7%0%8
32%25%53%0.1%0%21.8%0%9
55.8%37.4%29.6%0.1%0%32.8%0%10
55.8%37.4%29.6%0.1%0%32.8%0%11
57.8%37.4%27.3%0.1%0%35.1%0%12
Compiler

Compiled 14 to 9 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-mult: 28.0ms (60.4% of total)
ival-sqrt: 10.0ms (21.6% of total)
ival-sub: 7.0ms (15.1% of total)
const: 1.0ms (2.2% of total)

sample1.7s (26.9%)

Results
728.0ms8256×0valid
165.0ms2480×0invalid
Precisions
Click to see histograms. Total time spent on operations: 567.0ms
ival-mult: 395.0ms (69.7% of total)
ival-sqrt: 88.0ms (15.5% of total)
ival-sub: 69.0ms (12.2% of total)
const: 10.0ms (1.8% of total)
backward-pass: 5.0ms (0.9% of total)
Bogosity

preprocess227.0ms (3.6%)

Algorithm
egg-herbie
Rules
878×fma-neg
591×distribute-lft-out
506×distribute-lft-out--
505×sub-neg
406×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040496
1123496
2253496
3701496
41966496
53128496
65068496
75738496
86329496
96628496
106718496
116814496
126878496
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
(*.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
(*.f64 x (sqrt.f64 (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 z z))))
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 (neg.f64 z) (neg.f64 z)))))
(neg.f64 (*.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))))
(neg.f64 (*.f64 x (sqrt.f64 (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 z z)))))
(neg.f64 (*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 (neg.f64 z) (neg.f64 z))))))
(*.f64 y (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 z z))))
(*.f64 z (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 x x))))
(*.f64 x (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 y y))))
Outputs
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
(*.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
(*.f64 x (neg.f64 (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))))
(*.f64 x (sqrt.f64 (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 z z))))
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 (neg.f64 z) (neg.f64 z)))))
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
(neg.f64 (*.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))))
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
(neg.f64 (*.f64 x (sqrt.f64 (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 z z)))))
(*.f64 x (neg.f64 (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))))
(neg.f64 (*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 (neg.f64 z) (neg.f64 z))))))
(*.f64 x (neg.f64 (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))))
(*.f64 y (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 z z))))
(*.f64 z (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 x x))))
(*.f64 x (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 y y))))
(*.f64 x (sqrt.f64 (*.f64 (-.f64 z y) (+.f64 y z))))
Symmetry

(abs y)

(abs z)

(negabs x)

explain78.0ms (1.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1250-2(6.275024239807441e+153 3.405297338644635e-162 4.925402645664686e-281)(sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))
160-0-(-.f64 (*.f64 y y) (*.f64 z z))
00-0-x
00-0-(*.f64 y y)
00-0-z
00-0-(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
00-0-y
00-0-(*.f64 z z)
Results
44.0ms512×256valid
Compiler

Compiled 89 to 26 computations (70.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 13.0ms (64.9% of total)
ival-sqrt: 4.0ms (20% of total)
ival-sub: 3.0ms (15% of total)
const: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
66.3%
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
Compiler

Compiled 13 to 8 computations (38.5% saved)

localize31.0ms (0.5%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
95.0%
(-.f64 (*.f64 y y) (*.f64 z z))
54.9%
(sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))
Results
23.0ms256×256valid
Compiler

Compiled 38 to 9 computations (76.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 5.0ms (56% of total)
ival-sqrt: 2.0ms (22.4% of total)
ival-sub: 1.0ms (11.2% of total)
const: 0.0ms (0% of total)

series8.0ms (0.1%)

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

12 calls:

TimeVariablePointExpression
2.0ms
y
@0
(sqrt (- (* y y) (* z z)))
1.0ms
z
@inf
(sqrt (- (* y y) (* z z)))
1.0ms
y
@inf
(sqrt (- (* y y) (* z z)))
1.0ms
z
@0
(sqrt (- (* y y) (* z z)))
0.0ms
z
@-inf
(sqrt (- (* y y) (* z z)))

rewrite243.0ms (3.9%)

Algorithm
batch-egg-rewrite
Rules
645×log1p-expm1-u
645×expm1-log1p-u
642×prod-diff
592×unpow-prod-down
390×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01254
114754
2191052
Stop Event
node limit
Counts
2 → 314
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))
(-.f64 (*.f64 y y) (*.f64 z z))
Outputs
(+.f64 #s(literal 0 binary64) (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))) (cbrt.f64 (exp.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))) #s(literal 1 binary64))
(*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/6 binary64)) (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/6 binary64)) (pow.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/6 binary64)) (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)))
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(fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (neg.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/6 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/6 binary64)) (fma.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/6 binary64)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/6 binary64)) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/6 binary64)) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) z (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 z)) (sqrt.f64 z) (pow.f64 y #s(literal 2 binary64)))

simplify380.0ms (6.1%)

Algorithm
egg-herbie
Rules
694×times-frac
354×fma-neg
276×associate-*r*
264×unswap-sqr
263×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
074718157
1170217248
2473114957
Stop Event
node limit
Counts
362 → 457
Calls
Call 1
Inputs
(*.f64 z (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 z (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))))
(+.f64 (*.f64 z (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))))
y
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))))))))
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))))))))
y
(+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(+.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
(+.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 z (sqrt.f64 #s(literal -1 binary64)))
(*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))
(*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))))
(*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(pow.f64 y #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(pow.f64 y #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))) (cbrt.f64 (exp.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))) #s(literal 1 binary64))
(*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/6 binary64)) (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/6 binary64)) (pow.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/6 binary64)) (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (+.f64 y z) #s(literal 1/2 binary64)) (pow.f64 (-.f64 y z) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 y z) #s(literal 1/2 binary64)) (pow.f64 (+.f64 y z) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (-.f64 y z)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (+.f64 y z) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (-.f64 y z) (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/6 binary64))) #s(literal 2 binary64)))
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(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) y) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) y) (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) y) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) y) (neg.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) y) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) y) (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) y) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) y) (neg.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(fma.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 z #s(literal 2 binary64)))) (fma.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 z #s(literal 2 binary64)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 z #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 z #s(literal 2 binary64)))) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 (+.f64 y z) (-.f64 y z) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (+.f64 y z) (-.f64 y z) (fma.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (+.f64 y z) (-.f64 y z) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (+.f64 y z) (-.f64 y z) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 (-.f64 y z) (+.f64 y z) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (-.f64 y z) (+.f64 y z) (fma.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (-.f64 y z) (+.f64 y z) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (-.f64 y z) (+.f64 y z) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (-.f64 y z) (+.f64 y z) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (fma.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(fma.f64 (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (hypot.f64 (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) z) (hypot.f64 (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))) z) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (neg.f64 (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (neg.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/6 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/6 binary64)) (fma.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/6 binary64)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 4 binary64)) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/6 binary64)) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/6 binary64)) (+.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) z (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 z)) (sqrt.f64 z) (pow.f64 y #s(literal 2 binary64)))
Outputs
(*.f64 z (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 z (sqrt.f64 #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) z) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))))
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(fma.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) z (pow.f64 y #s(literal 2 binary64)))
(-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (pow.f64 y #s(literal 2 binary64)))
(-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 z)) (sqrt.f64 z) (pow.f64 y #s(literal 2 binary64)))
(-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))

eval251.0ms (4%)

Compiler

Compiled 11418 to 7856 computations (31.2% saved)

prune238.0ms (3.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New4552457
Fresh000
Picked011
Done000
Total4553458
Accuracy
100.0%
Counts
458 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z))))
66.3%
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
99.4%
(*.f64 x y)
Compiler

Compiled 33 to 21 computations (36.4% saved)

localize41.0ms (0.7%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(sqrt.f64 (-.f64 y z))
99.2%
(*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z)))
Results
30.0ms256×256valid
Compiler

Compiled 46 to 11 computations (76.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 5.0ms (40.7% of total)
ival-sqrt: 4.0ms (32.6% of total)
ival-sub: 1.0ms (8.1% of total)
ival-add: 1.0ms (8.1% of total)
const: 0.0ms (0% of total)

series17.0ms (0.3%)

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

12 calls:

TimeVariablePointExpression
3.0ms
z
@-inf
(sqrt (- y z))
2.0ms
z
@inf
(sqrt (- y z))
1.0ms
z
@inf
(* (sqrt (+ z y)) (sqrt (- y z)))
1.0ms
y
@0
(sqrt (- y z))
1.0ms
y
@-inf
(sqrt (- y z))

rewrite92.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
820×log1p-expm1-u
820×expm1-log1p-u
740×prod-diff
383×log-prod
343×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01352
116646
2230546
Stop Event
node limit
Counts
2 → 49
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z)))
(sqrt.f64 (-.f64 y z))
Outputs
(+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 2 binary64))
(pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 z y) #s(literal 3/2 binary64)) (pow.f64 (-.f64 y z) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64)) (pow.f64 (+.f64 z y) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 y z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 y z)))) (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 y z)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 y z))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 y z))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 y z))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 y z)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (-.f64 y z)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 y z)))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 y z))) (cbrt.f64 (-.f64 y z)))
(*.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (sqrt.f64 (-.f64 y z))))
(*.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 y z)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (-.f64 y z))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (+.f64 z y)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (hypot.f64 y (sqrt.f64 (*.f64 z (+.f64 z y)))))
(pow.f64 (-.f64 y z) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (-.f64 y z)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (-.f64 y z)))))
(cbrt.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 y z))))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 (neg.f64 z)))
(hypot.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 y))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 y z))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 y z))))
(exp.f64 (*.f64 (log.f64 (-.f64 y z)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y z))) #s(literal 1 binary64)))

simplify104.0ms (1.7%)

Algorithm
egg-herbie
Rules
715×distribute-lft-in
367×fma-define
311×*-commutative
286×associate-*r*
247×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04305627
112814767
254974254
Stop Event
node limit
Counts
97 → 176
Calls
Call 1
Inputs
y
(+.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) y))) y)))
(+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) y)))))
(+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) y)) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) y)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 y (*.f64 #s(literal -1 binary64) y)))) (pow.f64 y #s(literal 3 binary64)))))))))
(*.f64 z (sqrt.f64 #s(literal -1 binary64)))
(*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))
(*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (sqrt.f64 #s(literal -1 binary64))))) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal -1 binary64))))) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (sqrt.f64 #s(literal -1 binary64))))) z)))))
(*.f64 z (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) z))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 y (*.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))))) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))
y
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64))))) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) y)) (*.f64 #s(literal 1/2 binary64) (+.f64 z (*.f64 #s(literal -1 binary64) z)))) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 z (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) y)) (*.f64 #s(literal 1/2 binary64) (+.f64 z (*.f64 #s(literal -1 binary64) z)))) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))))))))) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal -1 binary64))))
(sqrt.f64 y)
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) z))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) z)) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) z)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (pow.f64 z #s(literal 3 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 (pow.f64 z #s(literal 2 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 y #s(literal 7 binary64)))) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))
(sqrt.f64 y)
(+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)))
(+.f64 (sqrt.f64 y) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) z)))))
(+.f64 (sqrt.f64 y) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) z)))))))
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal -1 binary64))))))))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 2 binary64))
(pow.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 z y) #s(literal 3/2 binary64)) (pow.f64 (-.f64 y z) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64)) (pow.f64 (+.f64 z y) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 y z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 y z)))) (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 y z)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 y z))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 y z))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 y z))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 y z)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (-.f64 y z)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 y z)))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 y z))) (cbrt.f64 (-.f64 y z)))
(*.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (sqrt.f64 (-.f64 y z))))
(*.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 y z)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 y z)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (-.f64 y z))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 (+.f64 z y)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (hypot.f64 y (sqrt.f64 (*.f64 z (+.f64 z y)))))
(pow.f64 (-.f64 y z) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (-.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (-.f64 y z)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (-.f64 y z)))))
(cbrt.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 y z))))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 (neg.f64 z)))
(hypot.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 y))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 y z))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 y z))))
(exp.f64 (*.f64 (log.f64 (-.f64 y z)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y z))) #s(literal 1 binary64)))
Outputs
y
(+.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) y))) y)))
y
(+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) y)))))
(+.f64 y (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) y)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) y)) y))))
(fma.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 z (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64)))) y) (/.f64 #s(literal 0 binary64) y)) y)
(+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(+.f64 y (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) y)) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) y)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 y (*.f64 #s(literal -1 binary64) y)))) (pow.f64 y #s(literal 3 binary64)))))))))
(+.f64 y (*.f64 z (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) y)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) y)) y))))
(fma.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 z (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64)))) y) (/.f64 #s(literal 0 binary64) y)) y)
(+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(*.f64 z (sqrt.f64 #s(literal -1 binary64)))
(*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 z (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) y)) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))
(fma.f64 z (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))
(fma.f64 z (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))
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(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))))
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(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 y z))))))
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(sqrt.f64 (-.f64 y z))
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(sqrt.f64 (-.f64 y z))
(hypot.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 y))
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(exp.f64 (log.f64 (sqrt.f64 (-.f64 y z))))
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(exp.f64 (*.f64 (log.f64 (-.f64 y z)) #s(literal 1/2 binary64)))
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eval108.0ms (1.7%)

Compiler

Compiled 4981 to 3444 computations (30.9% saved)

prune28.0ms (0.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1751176
Fresh000
Picked022
Done011
Total1754179
Accuracy
100.0%
Counts
179 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.9%
(*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)))))
99.4%
(*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z))))
66.3%
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
99.4%
(*.f64 x y)
Compiler

Compiled 54 to 36 computations (33.3% saved)

localize108.0ms (1.7%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)))))
99.9%
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
99.7%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)
99.2%
(*.f64 (sqrt.f64 (+.f64 z y)) (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z))))
Results
82.0ms256×256valid
Compiler

Compiled 84 to 48 computations (42.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-mult: 27.0ms (43.4% of total)
ival-div: 15.0ms (24.1% of total)
ival-sqrt: 14.0ms (22.5% of total)
ival-add: 5.0ms (8% of total)
const: 1.0ms (1.6% of total)

series27.0ms (0.4%)

Counts
4 → 68
Calls
Call 1
Inputs
#<alt (*.f64 (sqrt.f64 (+.f64 z y)) (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)))))>
Outputs
#<alt y>
#<alt (+.f64 y (*.f64 #s(literal -3/8 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))>
#<alt (+.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (+.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 z (+.f64 (*.f64 #s(literal -9/128 binary64) (/.f64 z (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))))))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64)))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 y (pow.f64 z #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) (*.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 y z))) (*.f64 (sqrt.f64 (/.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (*.f64 y z)))) z)) (*.f64 (sqrt.f64 (/.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 y (pow.f64 z #s(literal 3 binary64))))) (*.f64 y (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (*.f64 y z)))))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 y (pow.f64 z #s(literal 3 binary64))))) (*.f64 y (+.f64 (sqrt.f64 (*.f64 y z)) (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (*.f64 y z))) (*.f64 y (+.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 y z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 y z))))))))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 y (pow.f64 z #s(literal 3 binary64))))) (*.f64 y (+.f64 (sqrt.f64 (*.f64 y z)) (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (*.f64 y z))) (*.f64 y (+.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 y z))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 y z))) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))))) (*.f64 #s(literal -1/32 binary64) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))))))))))) y)>
#<alt y>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) y))) y)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) z)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) y))) y)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (*.f64 x (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)))) (sqrt.f64 (+.f64 y z)))>
#<alt (*.f64 (*.f64 x (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)))) (sqrt.f64 (+.f64 y z)))>
#<alt (*.f64 (*.f64 x (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)))) (sqrt.f64 (+.f64 y z)))>
#<alt (*.f64 (*.f64 x (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)))) (sqrt.f64 (+.f64 y z)))>
#<alt (*.f64 (*.f64 x (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)))) (sqrt.f64 (+.f64 y z)))>
#<alt (*.f64 (*.f64 x (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)))) (sqrt.f64 (+.f64 y z)))>
#<alt (*.f64 (*.f64 x (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)))) (sqrt.f64 (+.f64 y z)))>
#<alt (*.f64 (*.f64 x (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)))) (sqrt.f64 (+.f64 y z)))>
#<alt (*.f64 (*.f64 x (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)))) (sqrt.f64 (+.f64 y z)))>
#<alt (*.f64 (*.f64 x (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)))) (sqrt.f64 (+.f64 y z)))>
#<alt (*.f64 (*.f64 x (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)))) (sqrt.f64 (+.f64 y z)))>
#<alt (*.f64 (*.f64 x (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)))) (sqrt.f64 (+.f64 y z)))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 x y) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (+.f64 (*.f64 x y) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 x y)) (*.f64 #s(literal -1/8 binary64) (/.f64 x y))))))))>
#<alt (+.f64 (*.f64 x y) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 x y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 x y)) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x z) (pow.f64 y #s(literal 2 binary64)))))))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))) (*.f64 x (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))) (*.f64 x (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))))))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64)))))) (*.f64 x (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 (/.f64 y z)))) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 y z)))) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z)))) (*.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 (*.f64 y z))))) z)) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 y z)))) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (*.f64 y (pow.f64 z #s(literal 3 binary64)))))) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 (*.f64 y z)))) (*.f64 x (sqrt.f64 (*.f64 y z)))))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (*.f64 y (pow.f64 z #s(literal 3 binary64)))))) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 (*.f64 y z)))) (+.f64 (*.f64 x (sqrt.f64 (*.f64 y z))) (*.f64 y (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x (sqrt.f64 (/.f64 y z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 y z)))))))))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (*.f64 y (pow.f64 z #s(literal 3 binary64)))))) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 (*.f64 y z)))) (+.f64 (*.f64 x (sqrt.f64 (*.f64 y z))) (*.f64 y (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x (sqrt.f64 (/.f64 y z)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 y z)))) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))) (*.f64 #s(literal -1/32 binary64) (*.f64 x (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))))))))))))))) y)>
#<alt (*.f64 x y)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) (pow.f64 y #s(literal 2 binary64)))) (/.f64 x y)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x z) (pow.f64 y #s(literal 2 binary64)))) (/.f64 x y))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x z) (pow.f64 y #s(literal 2 binary64)))) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) y)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) y)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) y))) y))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) y)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x z))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) y))) y))))>
Calls

24 calls:

TimeVariablePointExpression
4.0ms
y
@-inf
(* (sqrt (/ 1 y)) z)
3.0ms
x
@-inf
(* x (* (sqrt (+ z y)) (+ (sqrt y) (* -1/2 (* (sqrt (/ 1 y)) z)))))
2.0ms
x
@0
(* x (* (sqrt (+ z y)) (+ (sqrt y) (* -1/2 (* (sqrt (/ 1 y)) z)))))
1.0ms
y
@inf
(* (sqrt (+ z y)) (+ (sqrt y) (* -1/2 (* (sqrt (/ 1 y)) z))))
1.0ms
z
@0
(* (sqrt (+ z y)) (+ (sqrt y) (* -1/2 (* (sqrt (/ 1 y)) z))))

rewrite156.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
889×log1p-expm1-u
889×expm1-log1p-u
552×fma-define
273×fma-neg
155×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022174
1308144
24225144
Stop Event
node limit
Counts
4 → 137
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (+.f64 z y)) (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)))))
Outputs
(+.f64 (sqrt.f64 (*.f64 (+.f64 z y) y)) (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)))))
(+.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)))) (sqrt.f64 (*.f64 (+.f64 z y) y)))
(+.f64 (*.f64 (sqrt.f64 (*.f64 (+.f64 z y) y)) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 z y) y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)))) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (*.f64 (+.f64 z y) y)) (sqrt.f64 (*.f64 (+.f64 z y) y)) (-.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)))) (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y))))) (*.f64 (sqrt.f64 (*.f64 (+.f64 z y) y)) (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y))))))))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 (+.f64 z y) y)) (sqrt.f64 (*.f64 (+.f64 z y) y))) (*.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)))) (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)))))) (-.f64 (sqrt.f64 (*.f64 (+.f64 z y) y)) (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (fma.f64 (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3/2 binary64)))) (fma.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y))) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (neg.f64 (sqrt.f64 y))) y))
(/.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (-.f64 y (*.f64 (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (+.f64 (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 y)))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 (+.f64 z y))) (fma.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y))) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (neg.f64 (sqrt.f64 y))) y))
(/.f64 (*.f64 (-.f64 y (*.f64 (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (sqrt.f64 (+.f64 z y))) (+.f64 (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 y)))))
(pow.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (+.f64 z y) (pow.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 z y))) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 z y) #s(literal 3/2 binary64)) (pow.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)) #s(literal 3 binary64)) (pow.f64 (+.f64 z y) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 y) (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)))))
(fma.f64 (sqrt.f64 (+.f64 z y)) (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y))) (sqrt.f64 (*.f64 (+.f64 z y) y)))
(fma.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 z y)) (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 z (sqrt.f64 y)) (sqrt.f64 (+.f64 z y))) (sqrt.f64 (*.f64 (+.f64 z y) y)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 z y) y)) (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)))))
(fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)))) (sqrt.f64 (*.f64 (+.f64 z y) y)))
(fma.f64 (/.f64 z (sqrt.f64 y)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (+.f64 z y))) (sqrt.f64 (*.f64 (+.f64 z y) y)))
(fma.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y))) (sqrt.f64 (+.f64 z y)) (sqrt.f64 (*.f64 (+.f64 z y) y)))
(fma.f64 (cbrt.f64 (+.f64 z y)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 z y))) (sqrt.f64 y)) (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)))))
(fma.f64 (cbrt.f64 (+.f64 z y)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 z y))) (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)))) (sqrt.f64 (*.f64 (+.f64 z y) y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)))) (sqrt.f64 (+.f64 z y))) (sqrt.f64 (*.f64 (+.f64 z y) y)))
(fma.f64 (cbrt.f64 y) (*.f64 (cbrt.f64 (sqrt.f64 y)) (sqrt.f64 (+.f64 z y))) (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)))))
(fma.f64 (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)) (sqrt.f64 y)) (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)))))
(fma.f64 (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)) (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)))) (sqrt.f64 (*.f64 (+.f64 z y) y)))
(fma.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 z y))) (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)))))
(fma.f64 (sqrt.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)))) (*.f64 (sqrt.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)))) (sqrt.f64 (+.f64 z y))) (sqrt.f64 (*.f64 (+.f64 z y) y)))
(fma.f64 (sqrt.f64 (*.f64 (+.f64 z y) y)) #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)))) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (*.f64 z (sqrt.f64 (+.f64 z y))) (sqrt.f64 (*.f64 (+.f64 z y) y)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y))))) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)))))) (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y))))) (sqrt.f64 (*.f64 (+.f64 z y) y)))
(fma.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 z y) y))) (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 z y) y)))) (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 z y) y))) (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)))))
(fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y))))) (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y))))) (sqrt.f64 (*.f64 (+.f64 z y) y)))
(fma.f64 (sqrt.f64 (sqrt.f64 (*.f64 (+.f64 z y) y))) (sqrt.f64 (sqrt.f64 (*.f64 (+.f64 z y) y))) (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)))))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)))) (pow.f64 (+.f64 z y) #s(literal 1/4 binary64))) (*.f64 (sqrt.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)))) (pow.f64 (+.f64 z y) #s(literal 1/4 binary64))) (sqrt.f64 (*.f64 (+.f64 z y) y)))
(fma.f64 (*.f64 (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64))) (*.f64 (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64))) (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)))))
(fma.f64 (*.f64 (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y))))) (*.f64 (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y))))) (sqrt.f64 (*.f64 (+.f64 z y) y)))
(fma.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 (+.f64 z y) #s(literal 1/4 binary64))) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 (+.f64 z y) #s(literal 1/4 binary64))) (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)))))
(fma.f64 (*.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y))) (cbrt.f64 (+.f64 z y))) (cbrt.f64 (sqrt.f64 (+.f64 z y))) (sqrt.f64 (*.f64 (+.f64 z y) y)))
(fma.f64 (*.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y))) (pow.f64 (+.f64 z y) #s(literal 1/4 binary64))) (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (+.f64 z y) y)))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)) (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)))))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)))))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 z y)) #s(literal -1/2 binary64)) (/.f64 z (sqrt.f64 y)) (sqrt.f64 (*.f64 (+.f64 z y) y)))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (/.f64 z (sqrt.f64 y))) #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (+.f64 z y) y)))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)))) (sqrt.f64 (*.f64 (+.f64 z y) y)))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y))))) (sqrt.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)))) (sqrt.f64 (*.f64 (+.f64 z y) y)))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y))) z (sqrt.f64 (*.f64 (+.f64 z y) y)))
(fma.f64 (*.f64 (sqrt.f64 y) (cbrt.f64 (+.f64 z y))) (cbrt.f64 (sqrt.f64 (+.f64 z y))) (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)))))
(fma.f64 (*.f64 (sqrt.f64 y) (pow.f64 (+.f64 z y) #s(literal 1/4 binary64))) (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 z (sqrt.f64 y)))) #s(literal 1 binary64))
(/.f64 z (sqrt.f64 y))
(pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 z (sqrt.f64 y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 z (sqrt.f64 y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 z (sqrt.f64 y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z (sqrt.f64 y)))))
(cbrt.f64 (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3/2 binary64)))))
(cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 z (sqrt.f64 y))))
(log1p.f64 (expm1.f64 (/.f64 z (sqrt.f64 y))))
(exp.f64 (log.f64 (/.f64 z (sqrt.f64 y))))
(exp.f64 (*.f64 (log.f64 (/.f64 z (sqrt.f64 y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 y #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (cbrt.f64 (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 y) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 y)))
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (sqrt.f64 (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 y)))
(pow.f64 y #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 y) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3/2 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64))
(fabs.f64 (pow.f64 y #s(literal -1/2 binary64)))
(log.f64 (exp.f64 (pow.f64 y #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (pow.f64 y #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (neg.f64 (log.f64 y)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 x (sqrt.f64 (*.f64 (+.f64 z y) y))) (*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y))))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 z y)) x) (sqrt.f64 y)) (*.f64 (*.f64 (sqrt.f64 (+.f64 z y)) x) (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 z y)) x) (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)))) (*.f64 (*.f64 (sqrt.f64 (+.f64 z y)) x) (sqrt.f64 y)))
(+.f64 (*.f64 (sqrt.f64 (*.f64 (+.f64 z y) y)) x) (*.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)))) x))
(+.f64 (*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 (+.f64 z y)) x)) (*.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y))) (*.f64 (sqrt.f64 (+.f64 z y)) x)))
(+.f64 (*.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y))) (*.f64 (sqrt.f64 (+.f64 z y)) x)) (*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 (+.f64 z y)) x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)) x)))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 z y)) x) (fma.f64 (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3/2 binary64)))) (fma.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y))) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (neg.f64 (sqrt.f64 y))) y))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 z y)) x) (-.f64 y (*.f64 (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (+.f64 (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 y)))))
(pow.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 z y))) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)) x)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)) x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)) x))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)) x))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)) x))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 (+.f64 z y)) x) (*.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y))) (*.f64 (sqrt.f64 (+.f64 z y)) x)))
(fma.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y))) (*.f64 (sqrt.f64 (+.f64 z y)) x) (*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 (+.f64 z y)) x)))
(fma.f64 x (sqrt.f64 (*.f64 (+.f64 z y) y)) (*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y))))))
(fma.f64 (sqrt.f64 (*.f64 (+.f64 z y) y)) x (*.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)))) x))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 z y)) x) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 (+.f64 z y)) x) (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)))))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 z y)) x) (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y))) (*.f64 (*.f64 (sqrt.f64 (+.f64 z y)) x) (sqrt.f64 y)))

simplify162.0ms (2.6%)

Algorithm
egg-herbie
Rules
699×distribute-lft-in
684×distribute-rgt-in
474×fma-define
442×associate-*r*
396×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
062213071
1167112364
2536611858
Stop Event
node limit
Counts
205 → 320
Calls
Call 1
Inputs
y
(+.f64 y (*.f64 #s(literal -3/8 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(+.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) y)))))
(+.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 z (+.f64 (*.f64 #s(literal -9/128 binary64) (/.f64 z (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64)))))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 y (pow.f64 z #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) (*.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 y z))) (*.f64 (sqrt.f64 (/.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (*.f64 y z)))) z)) (*.f64 (sqrt.f64 (/.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y)))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 y (pow.f64 z #s(literal 3 binary64))))) (*.f64 y (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (*.f64 y z)))))) y)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 y (pow.f64 z #s(literal 3 binary64))))) (*.f64 y (+.f64 (sqrt.f64 (*.f64 y z)) (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (*.f64 y z))) (*.f64 y (+.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 y z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 y z))))))))) y)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 y (pow.f64 z #s(literal 3 binary64))))) (*.f64 y (+.f64 (sqrt.f64 (*.f64 y z)) (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (*.f64 y z))) (*.f64 y (+.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 y z))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 y z))) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))))) (*.f64 #s(literal -1/32 binary64) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))))))))))) y)
y
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) y))) y)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) z)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) y))) y)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 x (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)))) (sqrt.f64 (+.f64 y z)))
(*.f64 (*.f64 x (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)))) (sqrt.f64 (+.f64 y z)))
(*.f64 (*.f64 x (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)))) (sqrt.f64 (+.f64 y z)))
(*.f64 (*.f64 x (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)))) (sqrt.f64 (+.f64 y z)))
(*.f64 (*.f64 x (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)))) (sqrt.f64 (+.f64 y z)))
(*.f64 (*.f64 x (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)))) (sqrt.f64 (+.f64 y z)))
(*.f64 (*.f64 x (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)))) (sqrt.f64 (+.f64 y z)))
(*.f64 (*.f64 x (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)))) (sqrt.f64 (+.f64 y z)))
(*.f64 (*.f64 x (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)))) (sqrt.f64 (+.f64 y z)))
(*.f64 (*.f64 x (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)))) (sqrt.f64 (+.f64 y z)))
(*.f64 (*.f64 x (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)))) (sqrt.f64 (+.f64 y z)))
(*.f64 (*.f64 x (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)))) (sqrt.f64 (+.f64 y z)))
(*.f64 x y)
(+.f64 (*.f64 x y) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))))
(+.f64 (*.f64 x y) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 x y)) (*.f64 #s(literal -1/8 binary64) (/.f64 x y))))))))
(+.f64 (*.f64 x y) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 x y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 x y)) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x z) (pow.f64 y #s(literal 2 binary64)))))))))))
(*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y))))
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(fma.f64 (*.f64 (sqrt.f64 (+.f64 z y)) #s(literal -1/2 binary64)) (/.f64 z (sqrt.f64 y)) (sqrt.f64 (*.f64 (+.f64 z y) y)))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (/.f64 z (sqrt.f64 y))) #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (+.f64 z y) y)))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)))) (sqrt.f64 (*.f64 (+.f64 z y) y)))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y))))) (sqrt.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)))) (sqrt.f64 (*.f64 (+.f64 z y) y)))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y))) z (sqrt.f64 (*.f64 (+.f64 z y) y)))
(fma.f64 (*.f64 (sqrt.f64 y) (cbrt.f64 (+.f64 z y))) (cbrt.f64 (sqrt.f64 (+.f64 z y))) (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)))))
(fma.f64 (*.f64 (sqrt.f64 y) (pow.f64 (+.f64 z y) #s(literal 1/4 binary64))) (pow.f64 (+.f64 z y) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 z (sqrt.f64 y)))) #s(literal 1 binary64))
(/.f64 z (sqrt.f64 y))
(pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 z (sqrt.f64 y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 z (sqrt.f64 y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 z (sqrt.f64 y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z (sqrt.f64 y)))))
(cbrt.f64 (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3/2 binary64)))))
(cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 z (sqrt.f64 y))))
(log1p.f64 (expm1.f64 (/.f64 z (sqrt.f64 y))))
(exp.f64 (log.f64 (/.f64 z (sqrt.f64 y))))
(exp.f64 (*.f64 (log.f64 (/.f64 z (sqrt.f64 y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 y #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (cbrt.f64 (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 y) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 y)))
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (sqrt.f64 (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 y)))
(pow.f64 y #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 y) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3/2 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64))
(fabs.f64 (pow.f64 y #s(literal -1/2 binary64)))
(log.f64 (exp.f64 (pow.f64 y #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (pow.f64 y #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (neg.f64 (log.f64 y)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 x (sqrt.f64 (*.f64 (+.f64 z y) y))) (*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y))))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 z y)) x) (sqrt.f64 y)) (*.f64 (*.f64 (sqrt.f64 (+.f64 z y)) x) (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 z y)) x) (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)))) (*.f64 (*.f64 (sqrt.f64 (+.f64 z y)) x) (sqrt.f64 y)))
(+.f64 (*.f64 (sqrt.f64 (*.f64 (+.f64 z y) y)) x) (*.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)))) x))
(+.f64 (*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 (+.f64 z y)) x)) (*.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y))) (*.f64 (sqrt.f64 (+.f64 z y)) x)))
(+.f64 (*.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y))) (*.f64 (sqrt.f64 (+.f64 z y)) x)) (*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 (+.f64 z y)) x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)) x)))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 z y)) x) (fma.f64 (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 y #s(literal 3/2 binary64)))) (fma.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y))) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (neg.f64 (sqrt.f64 y))) y))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 z y)) x) (-.f64 y (*.f64 (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (+.f64 (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 y)))))
(pow.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 z y))) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)) x)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)) x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)) x))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)) x))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)) x))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 (+.f64 z y)) x) (*.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y))) (*.f64 (sqrt.f64 (+.f64 z y)) x)))
(fma.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y))) (*.f64 (sqrt.f64 (+.f64 z y)) x) (*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 (+.f64 z y)) x)))
(fma.f64 x (sqrt.f64 (*.f64 (+.f64 z y) y)) (*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y))))))
(fma.f64 (sqrt.f64 (*.f64 (+.f64 z y) y)) x (*.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)))) x))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 z y)) x) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 (+.f64 z y)) x) (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)))))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 z y)) x) (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y))) (*.f64 (*.f64 (sqrt.f64 (+.f64 z y)) x) (sqrt.f64 y)))
Outputs
y
(+.f64 y (*.f64 #s(literal -3/8 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(fma.f64 #s(literal -3/8 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y)
(+.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) y)))))
(+.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 3/8 binary64) y))))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal -3/8 binary64) y)) y)
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 z (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal -3/8 binary64) y)) y)
(+.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 z (+.f64 (*.f64 #s(literal -9/128 binary64) (/.f64 z (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) y)))))
(+.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 z (fma.f64 #s(literal -9/128 binary64) (/.f64 z (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (/.f64 #s(literal 3/8 binary64) y)))))
(fma.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 z (fma.f64 #s(literal -9/128 binary64) (/.f64 z (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal -3/8 binary64) y)) y)
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (*.f64 (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/4 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/4 binary64))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64)))))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64)))))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))))) (fma.f64 (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 y (pow.f64 z #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) (*.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 y z))) (*.f64 (sqrt.f64 (/.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 y z)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 y z)))) z) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
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(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)) x)) #s(literal 3 binary64)))
(*.f64 (*.f64 x (sqrt.f64 (+.f64 y z))) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)))
(*.f64 x (*.f64 (sqrt.f64 (+.f64 y z)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (*.f64 x (sqrt.f64 (+.f64 y z))) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)))
(*.f64 x (*.f64 (sqrt.f64 (+.f64 y z)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))) #s(literal 3 binary64))))
(*.f64 (*.f64 x (sqrt.f64 (+.f64 y z))) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)))
(*.f64 x (*.f64 (sqrt.f64 (+.f64 y z)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)) x))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 y z)) (*.f64 x (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))))))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 (sqrt.f64 (+.f64 y z)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)) x))))
(*.f64 (*.f64 x (sqrt.f64 (+.f64 y z))) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)))
(*.f64 x (*.f64 (sqrt.f64 (+.f64 y z)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)) x))))
(*.f64 (*.f64 x (sqrt.f64 (+.f64 y z))) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)))
(*.f64 x (*.f64 (sqrt.f64 (+.f64 y z)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)) x))) #s(literal 1 binary64)))
(*.f64 (*.f64 x (sqrt.f64 (+.f64 y z))) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)))
(*.f64 x (*.f64 (sqrt.f64 (+.f64 y z)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 (+.f64 z y)) x) (*.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y))) (*.f64 (sqrt.f64 (+.f64 z y)) x)))
(*.f64 (*.f64 x (sqrt.f64 (+.f64 y z))) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)))
(*.f64 x (*.f64 (sqrt.f64 (+.f64 y z)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))))
(fma.f64 (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y))) (*.f64 (sqrt.f64 (+.f64 z y)) x) (*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 (+.f64 z y)) x)))
(*.f64 (*.f64 x (sqrt.f64 (+.f64 y z))) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)))
(*.f64 x (*.f64 (sqrt.f64 (+.f64 y z)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))))
(fma.f64 x (sqrt.f64 (*.f64 (+.f64 z y) y)) (*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y))))))
(*.f64 x (fma.f64 (sqrt.f64 (+.f64 y z)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) (sqrt.f64 y)) (sqrt.f64 (*.f64 y (+.f64 y z)))))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 y))) (sqrt.f64 (*.f64 y (+.f64 y z)))))
(fma.f64 (sqrt.f64 (*.f64 (+.f64 z y) y)) x (*.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)))) x))
(*.f64 x (fma.f64 (sqrt.f64 (+.f64 y z)) (/.f64 (*.f64 z #s(literal -1/2 binary64)) (sqrt.f64 y)) (sqrt.f64 (*.f64 y (+.f64 y z)))))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 y))) (sqrt.f64 (*.f64 y (+.f64 y z)))))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 z y)) x) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 (+.f64 z y)) x) (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)))))
(*.f64 (*.f64 x (sqrt.f64 (+.f64 y z))) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)))
(*.f64 x (*.f64 (sqrt.f64 (+.f64 y z)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 z y)) x) (*.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y))) (*.f64 (*.f64 (sqrt.f64 (+.f64 z y)) x) (sqrt.f64 y)))
(*.f64 (*.f64 x (sqrt.f64 (+.f64 y z))) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y)))
(*.f64 x (*.f64 (sqrt.f64 (+.f64 y z)) (fma.f64 z (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))))

eval76.0ms (1.2%)

Compiler

Compiled 8007 to 4073 computations (49.1% saved)

prune50.0ms (0.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New3182320
Fresh000
Picked101
Done033
Total3195324
Accuracy
100.0%
Counts
324 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.6%
(+.f64 (*.f64 x y) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 x y)) (*.f64 #s(literal -1/8 binary64) (/.f64 x y))))))))
98.9%
(*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y))))))
99.4%
(*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z))))
66.3%
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
99.4%
(*.f64 x y)
Compiler

Compiled 82 to 52 computations (36.6% saved)

localize398.0ms (6.4%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
98.0%
(*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 x y)) (*.f64 #s(literal -1/8 binary64) (/.f64 x y)))))))
97.5%
(+.f64 (*.f64 x y) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 x y)) (*.f64 #s(literal -1/8 binary64) (/.f64 x y))))))))
93.8%
(*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 x y)) (*.f64 #s(literal -1/8 binary64) (/.f64 x y))))
40.6%
(+.f64 (*.f64 #s(literal -1/2 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 x y)) (*.f64 #s(literal -1/8 binary64) (/.f64 x y))))))
100.0%
(+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y))))
100.0%
(*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y))))))
99.6%
(/.f64 z (sqrt.f64 y))
99.2%
(*.f64 (sqrt.f64 (+.f64 z y)) (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)))))
Results
128.0ms85×1024valid
73.0ms72×512valid
43.0ms69×256valid
58.0ms30×2048valid
Compiler

Compiled 207 to 96 computations (53.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 229.0ms
ival-mult: 156.0ms (68.1% of total)
ival-add: 47.0ms (20.5% of total)
ival-div: 10.0ms (4.4% of total)
ival-sqrt: 9.0ms (3.9% of total)
const: 7.0ms (3.1% of total)

series40.0ms (0.6%)

Counts
8 → 232
Calls
Call 1
Inputs
#<alt (*.f64 (sqrt.f64 (+.f64 z y)) (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)))))>
#<alt (/.f64 z (sqrt.f64 y))>
#<alt (*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y))))))>
#<alt (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 x y)) (*.f64 #s(literal -1/8 binary64) (/.f64 x y))))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 x y)) (*.f64 #s(literal -1/8 binary64) (/.f64 x y))))>
#<alt (+.f64 (*.f64 x y) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 x y)) (*.f64 #s(literal -1/8 binary64) (/.f64 x y))))))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 x y)) (*.f64 #s(literal -1/8 binary64) (/.f64 x y)))))))>
Outputs
#<alt y>
#<alt (+.f64 y (*.f64 #s(literal -3/8 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))>
#<alt (+.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (+.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 z (+.f64 (*.f64 #s(literal -9/128 binary64) (/.f64 z (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))))))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64)))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 y (pow.f64 z #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) (*.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 y z))) (*.f64 (sqrt.f64 (/.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (*.f64 y z)))) z)) (*.f64 (sqrt.f64 (/.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 y (pow.f64 z #s(literal 3 binary64))))) (*.f64 y (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (*.f64 y z)))))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 y (pow.f64 z #s(literal 3 binary64))))) (*.f64 y (+.f64 (sqrt.f64 (*.f64 y z)) (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (*.f64 y z))) (*.f64 y (+.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 y z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 y z))))))))) y)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 y (pow.f64 z #s(literal 3 binary64))))) (*.f64 y (+.f64 (sqrt.f64 (*.f64 y z)) (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (*.f64 y z))) (*.f64 y (+.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 y z))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 y z))) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))))) (*.f64 #s(literal -1/32 binary64) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))))))))))) y)>
#<alt y>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y)) (*.f64 #s(literal -1/2 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) (/.f64 z y))) y)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) z)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 z y))) y)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
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Calls

63 calls:

TimeVariablePointExpression
2.0ms
z
@inf
(* z (+ (* -1/2 x) (+ (* 1/2 x) (* z (+ (* -1/4 (/ x y)) (* -1/8 (/ x y)))))))
2.0ms
z
@inf
(+ (sqrt y) (* -1/2 (/ z (sqrt y))))
1.0ms
x
@0
(+ (* -1/2 x) (+ (* 1/2 x) (* z (+ (* -1/4 (/ x y)) (* -1/8 (/ x y))))))
1.0ms
x
@inf
(+ (* -1/2 x) (+ (* 1/2 x) (* z (+ (* -1/4 (/ x y)) (* -1/8 (/ x y))))))
1.0ms
z
@0
(+ (* -1/2 x) (+ (* 1/2 x) (* z (+ (* -1/4 (/ x y)) (* -1/8 (/ x y))))))

rewrite121.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
276×log1p-expm1-u
276×expm1-log1p-u
271×add-cube-cbrt
268×add-exp-log
268×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034388
1576376
Stop Event
node limit
Counts
8 → 240
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (+.f64 z y)) (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)))))
(/.f64 z (sqrt.f64 y))
(*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y))))))
(+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y))))
(+.f64 (*.f64 #s(literal -1/2 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 x y)) (*.f64 #s(literal -1/8 binary64) (/.f64 x y))))))
(*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 x y)) (*.f64 #s(literal -1/8 binary64) (/.f64 x y))))
(+.f64 (*.f64 x y) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 x y)) (*.f64 #s(literal -1/8 binary64) (/.f64 x y))))))))
(*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 x y)) (*.f64 #s(literal -1/8 binary64) (/.f64 x y)))))))
Outputs
(+.f64 (sqrt.f64 (*.f64 (+.f64 z y) y)) (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)))))
(+.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)))) (sqrt.f64 (*.f64 (+.f64 z y) y)))
(+.f64 (sqrt.f64 (*.f64 y (+.f64 z y))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y))) (sqrt.f64 (+.f64 z y))))
(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y))) (sqrt.f64 (+.f64 z y))) (sqrt.f64 (*.f64 y (+.f64 z y))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 (+.f64 z y) y)) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (sqrt.f64 (*.f64 y (+.f64 z y))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y))) (sqrt.f64 (+.f64 z y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (fma.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)) (sqrt.f64 y))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 z y) y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)))) #s(literal 3 binary64))) (+.f64 (*.f64 (sqrt.f64 (*.f64 (+.f64 z y) y)) (sqrt.f64 (*.f64 (+.f64 z y) y))) (-.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)))) (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y))))) (*.f64 (sqrt.f64 (*.f64 (+.f64 z y) y)) (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y))))))))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (*.f64 y (+.f64 z y))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y))) (sqrt.f64 (+.f64 z y))) #s(literal 3 binary64))) (+.f64 (*.f64 (sqrt.f64 (*.f64 y (+.f64 z y))) (sqrt.f64 (*.f64 y (+.f64 z y)))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y))) (sqrt.f64 (+.f64 z y))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y))) (sqrt.f64 (+.f64 z y)))) (*.f64 (sqrt.f64 (*.f64 y (+.f64 z y))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y))) (sqrt.f64 (+.f64 z y)))))))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 (+.f64 z y) y)) (sqrt.f64 (*.f64 (+.f64 z y) y))) (*.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)))) (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)))))) (-.f64 (sqrt.f64 (*.f64 (+.f64 z y) y)) (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y))))))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 y (+.f64 z y))) (sqrt.f64 (*.f64 y (+.f64 z y)))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y))) (sqrt.f64 (+.f64 z y))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y))) (sqrt.f64 (+.f64 z y))))) (-.f64 (sqrt.f64 (*.f64 y (+.f64 z y))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y))) (sqrt.f64 (+.f64 z y)))))
(pow.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (fma.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)) (sqrt.f64 y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (fma.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)) (sqrt.f64 y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (fma.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)) (sqrt.f64 y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (fma.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)) (sqrt.f64 y)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (+.f64 z y) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)) (sqrt.f64 y)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 z y))) (fma.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)) (sqrt.f64 y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (fma.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)) (sqrt.f64 y))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (fma.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)) (sqrt.f64 y))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 z y) #s(literal 3/2 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)) (sqrt.f64 y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)) (sqrt.f64 y)) #s(literal 3 binary64)) (pow.f64 (+.f64 z y) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (fma.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)) (sqrt.f64 y)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (fma.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)) (sqrt.f64 y)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (fma.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)) (sqrt.f64 y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (fma.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)) (sqrt.f64 y)))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 y) (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)))))
(fma.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 z y)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y))) (sqrt.f64 (+.f64 z y))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 z (sqrt.f64 y)))) #s(literal 1 binary64))
(*.f64 z (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 z (sqrt.f64 y)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (cbrt.f64 (/.f64 z (sqrt.f64 y))))
(*.f64 (sqrt.f64 (/.f64 z (sqrt.f64 y))) (sqrt.f64 (/.f64 z (sqrt.f64 y))))
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (/.f64 z (cbrt.f64 (sqrt.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 z (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 y)) (cbrt.f64 (/.f64 z (sqrt.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 z) (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 y)) (/.f64 (sqrt.f64 z) (cbrt.f64 (sqrt.f64 y))))
(pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 z (sqrt.f64 y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 z (sqrt.f64 y))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 y) z) #s(literal -1 binary64))
(neg.f64 (/.f64 z (neg.f64 (sqrt.f64 y))))
(neg.f64 (/.f64 (neg.f64 z) (sqrt.f64 y)))
(sqrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(log.f64 (exp.f64 (/.f64 z (sqrt.f64 y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z (sqrt.f64 y)))))
(cbrt.f64 (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 z (sqrt.f64 y))))
(log1p.f64 (expm1.f64 (/.f64 z (sqrt.f64 y))))
(exp.f64 (log.f64 (/.f64 z (sqrt.f64 y))))
(exp.f64 (*.f64 (log.f64 (/.f64 z (sqrt.f64 y))) #s(literal 1 binary64)))
(+.f64 (*.f64 x (sqrt.f64 (*.f64 (+.f64 z y) y))) (*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y))))))
(+.f64 (*.f64 x (sqrt.f64 (*.f64 y (+.f64 z y)))) (*.f64 x (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y))) (sqrt.f64 (+.f64 z y)))))
(+.f64 (*.f64 (*.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 y)) (*.f64 (*.f64 x (sqrt.f64 (+.f64 z y))) (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)))))
(+.f64 (*.f64 (*.f64 x (sqrt.f64 (+.f64 z y))) (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)))) (*.f64 (*.f64 x (sqrt.f64 (+.f64 z y))) (sqrt.f64 y)))
(+.f64 (*.f64 (sqrt.f64 (*.f64 (+.f64 z y) y)) x) (*.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)))) x))
(+.f64 (*.f64 (sqrt.f64 (*.f64 y (+.f64 z y))) x) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y))) (sqrt.f64 (+.f64 z y))) x))
(+.f64 (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 (+.f64 z y)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y))) (*.f64 x (sqrt.f64 (+.f64 z y)))))
(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y))) (*.f64 x (sqrt.f64 (+.f64 z y)))) (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 (+.f64 z y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x (sqrt.f64 (+.f64 z y))) (fma.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)) (sqrt.f64 y))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 x (sqrt.f64 (+.f64 z y))) (fma.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)) (sqrt.f64 y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x (sqrt.f64 (+.f64 z y))) (fma.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)) (sqrt.f64 y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 (+.f64 z y))) (fma.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)) (sqrt.f64 y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 x (sqrt.f64 (+.f64 z y))) (fma.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)) (sqrt.f64 y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 (+.f64 z y))) (fma.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)) (sqrt.f64 y))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 z y))) (fma.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)) (sqrt.f64 y))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 x (sqrt.f64 (+.f64 z y))) (fma.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)) (sqrt.f64 y))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 (+.f64 z y))) (fma.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)) (sqrt.f64 y))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (fma.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)) (sqrt.f64 y))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 (+.f64 z y)) (fma.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)) (sqrt.f64 y))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x (sqrt.f64 (+.f64 z y))) (fma.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)) (sqrt.f64 y)))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x (sqrt.f64 (+.f64 z y))) (fma.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)) (sqrt.f64 y)))))
(exp.f64 (log.f64 (*.f64 (*.f64 x (sqrt.f64 (+.f64 z y))) (fma.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)) (sqrt.f64 y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x (sqrt.f64 (+.f64 z y))) (fma.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)) (sqrt.f64 y)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)) (sqrt.f64 y)))) #s(literal 1 binary64))
(-.f64 (/.f64 y (-.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y))))) (/.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 1/4 binary64)) (-.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y))))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)) (sqrt.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)) (sqrt.f64 y))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)) (sqrt.f64 y))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)) (sqrt.f64 y))) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)) (sqrt.f64 y))))
(*.f64 (+.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y (-.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y))))))))
(*.f64 (-.f64 y (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (-.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)))))) (+.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)))) (-.f64 y (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 1/4 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y))) #s(literal 3 binary64))) (+.f64 y (-.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)))))))
(/.f64 (-.f64 y (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 1/4 binary64))) (-.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y))) #s(literal 3 binary64)))) (neg.f64 (+.f64 y (-.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y))))))))
(/.f64 (neg.f64 (-.f64 y (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (+.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 1/4 binary64)) (-.f64 y (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y))) (sqrt.f64 y)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal 1/4 binary64)) y) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y))) (sqrt.f64 y)))
(pow.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)) (sqrt.f64 y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)) (sqrt.f64 y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)) (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)) (sqrt.f64 y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)) (sqrt.f64 y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)) (sqrt.f64 y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)) (sqrt.f64 y)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)) (sqrt.f64 y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)) (sqrt.f64 y))))
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(exp.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y)) (sqrt.f64 y))))
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(log.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 z (*.f64 (/.f64 x y) #s(literal -3/8 binary64)) (*.f64 #s(literal -1/2 binary64) x)))) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) x (fma.f64 z (*.f64 (/.f64 x y) #s(literal -3/8 binary64)) (*.f64 #s(literal -1/2 binary64) x)))))))
(cbrt.f64 (pow.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) x (fma.f64 z (*.f64 (/.f64 x y) #s(literal -3/8 binary64)) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) x (fma.f64 z (*.f64 (/.f64 x y) #s(literal -3/8 binary64)) (*.f64 #s(literal -1/2 binary64) x))))))
(log1p.f64 (expm1.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) x (fma.f64 z (*.f64 (/.f64 x y) #s(literal -3/8 binary64)) (*.f64 #s(literal -1/2 binary64) x))))))
(exp.f64 (log.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) x (fma.f64 z (*.f64 (/.f64 x y) #s(literal -3/8 binary64)) (*.f64 #s(literal -1/2 binary64) x))))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) x (fma.f64 z (*.f64 (/.f64 x y) #s(literal -3/8 binary64)) (*.f64 #s(literal -1/2 binary64) x))))) #s(literal 1 binary64)))
(fma.f64 z (*.f64 #s(literal -1/2 binary64) x) (*.f64 z (fma.f64 z (*.f64 (/.f64 x y) #s(literal -3/8 binary64)) (*.f64 #s(literal -1/2 binary64) x))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) z (*.f64 (fma.f64 z (*.f64 (/.f64 x y) #s(literal -3/8 binary64)) (*.f64 #s(literal -1/2 binary64) x)) z))

simplify355.0ms (5.7%)

Algorithm
egg-herbie
Rules
597×fma-neg
354×distribute-rgt-in
347×distribute-lft-in
280×+-commutative
274×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0101330122
1314727203
2788327181
Stop Event
node limit
Counts
472 → 538
Calls
Call 1
Inputs
y
(+.f64 y (*.f64 #s(literal -3/8 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(+.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) y)))))
(+.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 z (+.f64 (*.f64 #s(literal -9/128 binary64) (/.f64 z (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64)))))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 y (pow.f64 z #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) (*.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 y z))) (*.f64 (sqrt.f64 (/.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (*.f64 y z)))) z)) (*.f64 (sqrt.f64 (/.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y)))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 y (pow.f64 z #s(literal 3 binary64))))) (*.f64 y (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (*.f64 y z)))))) y)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 y (pow.f64 z #s(literal 3 binary64))))) (*.f64 y (+.f64 (sqrt.f64 (*.f64 y z)) (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (*.f64 y z))) (*.f64 y (+.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 y z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 y z))))))))) y)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 y (pow.f64 z #s(literal 3 binary64))))) (*.f64 y (+.f64 (sqrt.f64 (*.f64 y z)) (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (*.f64 y z))) (*.f64 y (+.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 y z))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 y z))) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))))) (*.f64 #s(literal -1/32 binary64) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))))))))))) y)
y
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y)) (*.f64 #s(literal -1/2 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) (/.f64 z y))) y)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) z)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 z y))) y)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)
(*.f64 (*.f64 x (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)))) (sqrt.f64 (+.f64 y z)))
(*.f64 (*.f64 x (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)))) (sqrt.f64 (+.f64 y z)))
(*.f64 (*.f64 x (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)))) (sqrt.f64 (+.f64 y z)))
(*.f64 (*.f64 x (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)))) (sqrt.f64 (+.f64 y z)))
(*.f64 (*.f64 x (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)))) (sqrt.f64 (+.f64 y z)))
(*.f64 (*.f64 x (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)))) (sqrt.f64 (+.f64 y z)))
(*.f64 (*.f64 x (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)))) (sqrt.f64 (+.f64 y z)))
(*.f64 (*.f64 x (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)))) (sqrt.f64 (+.f64 y z)))
(*.f64 (*.f64 x (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)))) (sqrt.f64 (+.f64 y z)))
(*.f64 (*.f64 x (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)))) (sqrt.f64 (+.f64 y z)))
(*.f64 (*.f64 x (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)))) (sqrt.f64 (+.f64 y z)))
(*.f64 (*.f64 x (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)))) (sqrt.f64 (+.f64 y z)))
(*.f64 x y)
(+.f64 (*.f64 x y) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))))
(+.f64 (*.f64 x y) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 x y)) (*.f64 #s(literal -1/8 binary64) (/.f64 x y))))))))
(+.f64 (*.f64 x y) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 x y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 x y)) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x z) (pow.f64 y #s(literal 2 binary64)))))))))))
(*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))) (*.f64 x (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))) (*.f64 x (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64)))))) (*.f64 x (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 (/.f64 y z)))) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 y z)))) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z)))) (*.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 (*.f64 y z))))) z)) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 y z)))) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))))))
(*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y))))
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(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (*.f64 y (pow.f64 z #s(literal 3 binary64)))))) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 (*.f64 y z)))) (+.f64 (*.f64 x (sqrt.f64 (*.f64 y z))) (*.f64 y (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x (sqrt.f64 (/.f64 y z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 y z)))))))))) y)
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(*.f64 x y)
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) (pow.f64 y #s(literal 2 binary64)))) (/.f64 x y)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x z) (pow.f64 y #s(literal 2 binary64)))) (/.f64 x y))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x z) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x z) (pow.f64 y #s(literal 2 binary64)))) (/.f64 x y)))))
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(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) (*.f64 z (fma.f64 #s(literal -1/2 binary64) x (fma.f64 z (*.f64 (/.f64 x y) #s(literal -3/8 binary64)) (*.f64 #s(literal -1/2 binary64) x)))))
(fma.f64 (sqrt.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) x (fma.f64 z (*.f64 (/.f64 x y) #s(literal -3/8 binary64)) (*.f64 #s(literal -1/2 binary64) x))))) (sqrt.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) x (fma.f64 z (*.f64 (/.f64 x y) #s(literal -3/8 binary64)) (*.f64 #s(literal -1/2 binary64) x))))) (*.f64 y x))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (*.f64 z (fma.f64 #s(literal -1/2 binary64) x (fma.f64 z (*.f64 (/.f64 x y) #s(literal -3/8 binary64)) (*.f64 #s(literal -1/2 binary64) x)))))
(+.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) x)) (*.f64 z (fma.f64 z (*.f64 (/.f64 x y) #s(literal -3/8 binary64)) (*.f64 #s(literal -1/2 binary64) x))))
(+.f64 (*.f64 z (fma.f64 z (*.f64 (/.f64 x y) #s(literal -3/8 binary64)) (*.f64 #s(literal -1/2 binary64) x))) (*.f64 z (*.f64 #s(literal -1/2 binary64) x)))
(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) z) (*.f64 (fma.f64 z (*.f64 (/.f64 x y) #s(literal -3/8 binary64)) (*.f64 #s(literal -1/2 binary64) x)) z))
(+.f64 (*.f64 (fma.f64 z (*.f64 (/.f64 x y) #s(literal -3/8 binary64)) (*.f64 #s(literal -1/2 binary64) x)) z) (*.f64 (*.f64 #s(literal -1/2 binary64) x) z))
(+.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/2 binary64) x))) (*.f64 z (*.f64 z (*.f64 (/.f64 x y) #s(literal -3/8 binary64)))))
(+.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/2 binary64) x)) z) (*.f64 (*.f64 z (*.f64 (/.f64 x y) #s(literal -3/8 binary64))) z))
(+.f64 (*.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64)) (*.f64 (*.f64 z (fma.f64 z (*.f64 (/.f64 x y) #s(literal -3/8 binary64)) (*.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) z) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 z (*.f64 (/.f64 x y) #s(literal -3/8 binary64)) (*.f64 #s(literal -1/2 binary64) x)) z) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) x (fma.f64 z (*.f64 (/.f64 x y) #s(literal -3/8 binary64)) (*.f64 #s(literal -1/2 binary64) x)))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (fma.f64 z (*.f64 (/.f64 x y) #s(literal -3/8 binary64)) (*.f64 #s(literal -1/2 binary64) x))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) x)) (*.f64 z (*.f64 #s(literal -1/2 binary64) x))) (-.f64 (*.f64 (*.f64 z (fma.f64 z (*.f64 (/.f64 x y) #s(literal -3/8 binary64)) (*.f64 #s(literal -1/2 binary64) x))) (*.f64 z (fma.f64 z (*.f64 (/.f64 x y) #s(literal -3/8 binary64)) (*.f64 #s(literal -1/2 binary64) x)))) (*.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) x)) (*.f64 z (fma.f64 z (*.f64 (/.f64 x y) #s(literal -3/8 binary64)) (*.f64 #s(literal -1/2 binary64) x)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 z (*.f64 (/.f64 x y) #s(literal -3/8 binary64)) (*.f64 #s(literal -1/2 binary64) x)) z) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) z) (*.f64 (*.f64 #s(literal -1/2 binary64) x) z)) (-.f64 (*.f64 (*.f64 (fma.f64 z (*.f64 (/.f64 x y) #s(literal -3/8 binary64)) (*.f64 #s(literal -1/2 binary64) x)) z) (*.f64 (fma.f64 z (*.f64 (/.f64 x y) #s(literal -3/8 binary64)) (*.f64 #s(literal -1/2 binary64) x)) z)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) z) (*.f64 (fma.f64 z (*.f64 (/.f64 x y) #s(literal -3/8 binary64)) (*.f64 #s(literal -1/2 binary64) x)) z)))))
(/.f64 (-.f64 (*.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) x)) (*.f64 z (*.f64 #s(literal -1/2 binary64) x))) (*.f64 (*.f64 z (fma.f64 z (*.f64 (/.f64 x y) #s(literal -3/8 binary64)) (*.f64 #s(literal -1/2 binary64) x))) (*.f64 z (fma.f64 z (*.f64 (/.f64 x y) #s(literal -3/8 binary64)) (*.f64 #s(literal -1/2 binary64) x))))) (-.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) x)) (*.f64 z (fma.f64 z (*.f64 (/.f64 x y) #s(literal -3/8 binary64)) (*.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) z) (*.f64 (*.f64 #s(literal -1/2 binary64) x) z)) (*.f64 (*.f64 (fma.f64 z (*.f64 (/.f64 x y) #s(literal -3/8 binary64)) (*.f64 #s(literal -1/2 binary64) x)) z) (*.f64 (fma.f64 z (*.f64 (/.f64 x y) #s(literal -3/8 binary64)) (*.f64 #s(literal -1/2 binary64) x)) z))) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) z) (*.f64 (fma.f64 z (*.f64 (/.f64 x y) #s(literal -3/8 binary64)) (*.f64 #s(literal -1/2 binary64) x)) z)))
(pow.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) x (fma.f64 z (*.f64 (/.f64 x y) #s(literal -3/8 binary64)) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) x (fma.f64 z (*.f64 (/.f64 x y) #s(literal -3/8 binary64)) (*.f64 #s(literal -1/2 binary64) x))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) x (fma.f64 z (*.f64 (/.f64 x y) #s(literal -3/8 binary64)) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) x (fma.f64 z (*.f64 (/.f64 x y) #s(literal -3/8 binary64)) (*.f64 #s(literal -1/2 binary64) x))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) x (fma.f64 z (*.f64 (/.f64 x y) #s(literal -3/8 binary64)) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 z (*.f64 (/.f64 x y) #s(literal -3/8 binary64)) (*.f64 #s(literal -1/2 binary64) x)))) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) x (fma.f64 z (*.f64 (/.f64 x y) #s(literal -3/8 binary64)) (*.f64 #s(literal -1/2 binary64) x)))))))
(cbrt.f64 (pow.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) x (fma.f64 z (*.f64 (/.f64 x y) #s(literal -3/8 binary64)) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) x (fma.f64 z (*.f64 (/.f64 x y) #s(literal -3/8 binary64)) (*.f64 #s(literal -1/2 binary64) x))))))
(log1p.f64 (expm1.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) x (fma.f64 z (*.f64 (/.f64 x y) #s(literal -3/8 binary64)) (*.f64 #s(literal -1/2 binary64) x))))))
(exp.f64 (log.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) x (fma.f64 z (*.f64 (/.f64 x y) #s(literal -3/8 binary64)) (*.f64 #s(literal -1/2 binary64) x))))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) x (fma.f64 z (*.f64 (/.f64 x y) #s(literal -3/8 binary64)) (*.f64 #s(literal -1/2 binary64) x))))) #s(literal 1 binary64)))
(fma.f64 z (*.f64 #s(literal -1/2 binary64) x) (*.f64 z (fma.f64 z (*.f64 (/.f64 x y) #s(literal -3/8 binary64)) (*.f64 #s(literal -1/2 binary64) x))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) z (*.f64 (fma.f64 z (*.f64 (/.f64 x y) #s(literal -3/8 binary64)) (*.f64 #s(literal -1/2 binary64) x)) z))
Outputs
y
(+.f64 y (*.f64 #s(literal -3/8 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(+.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) y)))))
(+.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 3/8 binary64) y))))
(+.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) (/.f64 z (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal -3/8 binary64) y))))
(+.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 z (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal -3/8 binary64) y))))
(+.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 z (+.f64 (*.f64 #s(literal -9/128 binary64) (/.f64 z (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) y)))))
(+.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 z (fma.f64 #s(literal -9/128 binary64) (/.f64 z (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 3/8 binary64) y))))
(+.f64 y (*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 z (fma.f64 #s(literal -9/128 binary64) (/.f64 z (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal -3/8 binary64) y))))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (*.f64 (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/4 binary64)))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64)))))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64)))))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y))) #s(literal -1 binary64))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 y (pow.f64 z #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) (*.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 y (pow.f64 z #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 (/.f64 #s(literal 1 binary64) y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)) #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 y z))) (*.f64 (sqrt.f64 (/.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 y z)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 y z)))) z) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)) #s(literal -1 binary64))) (/.f64 (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal -5/4 binary64)) z)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (*.f64 y z)))) z)) (*.f64 (sqrt.f64 (/.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (*.f64 y z)))) z) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 y z)))) z) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)) #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 y z))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (*.f64 y z)))) z)) z)))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y)))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 y (pow.f64 z #s(literal 3 binary64))))) (*.f64 y (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (*.f64 y z)))))) y)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 y (pow.f64 z #s(literal 3 binary64)))) (*.f64 y (*.f64 #s(literal 3/4 binary64) (sqrt.f64 (*.f64 y z))))) y)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 y (pow.f64 z #s(literal 3 binary64))))) (*.f64 y (+.f64 (sqrt.f64 (*.f64 y z)) (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (*.f64 y z))) (*.f64 y (+.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 y z))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 y z))))))))) y)
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(exp.f64 (log.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) x (fma.f64 z (*.f64 (/.f64 x y) #s(literal -3/8 binary64)) (*.f64 #s(literal -1/2 binary64) x))))))
(*.f64 z (fma.f64 #s(literal -1/2 binary64) x (fma.f64 z (/.f64 (*.f64 x #s(literal -3/8 binary64)) y) (*.f64 #s(literal -1/2 binary64) x))))
(*.f64 z (+.f64 (neg.f64 x) (*.f64 z (/.f64 (*.f64 x #s(literal -3/8 binary64)) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) x (fma.f64 z (*.f64 (/.f64 x y) #s(literal -3/8 binary64)) (*.f64 #s(literal -1/2 binary64) x))))) #s(literal 1 binary64)))
(*.f64 z (fma.f64 #s(literal -1/2 binary64) x (fma.f64 z (/.f64 (*.f64 x #s(literal -3/8 binary64)) y) (*.f64 #s(literal -1/2 binary64) x))))
(*.f64 z (+.f64 (neg.f64 x) (*.f64 z (/.f64 (*.f64 x #s(literal -3/8 binary64)) y))))
(fma.f64 z (*.f64 #s(literal -1/2 binary64) x) (*.f64 z (fma.f64 z (*.f64 (/.f64 x y) #s(literal -3/8 binary64)) (*.f64 #s(literal -1/2 binary64) x))))
(*.f64 z (fma.f64 #s(literal -1/2 binary64) x (fma.f64 z (/.f64 (*.f64 x #s(literal -3/8 binary64)) y) (*.f64 #s(literal -1/2 binary64) x))))
(*.f64 z (+.f64 (neg.f64 x) (*.f64 z (/.f64 (*.f64 x #s(literal -3/8 binary64)) y))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) z (*.f64 (fma.f64 z (*.f64 (/.f64 x y) #s(literal -3/8 binary64)) (*.f64 #s(literal -1/2 binary64) x)) z))
(*.f64 z (fma.f64 #s(literal -1/2 binary64) x (fma.f64 z (/.f64 (*.f64 x #s(literal -3/8 binary64)) y) (*.f64 #s(literal -1/2 binary64) x))))
(*.f64 z (+.f64 (neg.f64 x) (*.f64 z (/.f64 (*.f64 x #s(literal -3/8 binary64)) y))))

eval340.0ms (5.4%)

Compiler

Compiled 14507 to 7831 computations (46% saved)

prune125.0ms (2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New5371538
Fresh000
Picked202
Done033
Total5394543
Accuracy
100.0%
Counts
543 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.5%
(+.f64 (*.f64 x y) (*.f64 z (*.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 z x) y))))
99.4%
(*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z))))
66.3%
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
99.4%
(*.f64 x y)
Compiler

Compiled 150 to 83 computations (44.7% saved)

regimes20.0ms (0.3%)

Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 x y)
(+.f64 (*.f64 x y) (*.f64 z (*.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 z x) y))))
(+.f64 (*.f64 x y) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 x y)) (*.f64 #s(literal -1/8 binary64) (/.f64 x y))))))))
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
(*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z))))
(*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (/.f64 z (sqrt.f64 y))))))
(*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)))))
Outputs
(*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z))))
Calls

8 calls:

3.0ms
y
3.0ms
(-.f64 (*.f64 y y) (*.f64 z z))
2.0ms
x
2.0ms
z
2.0ms
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
Results
AccuracySegmentsBranch
99.4%1x
99.4%1y
99.4%1z
99.4%1(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
99.4%1(sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))
99.4%1(-.f64 (*.f64 y y) (*.f64 z z))
99.4%1(*.f64 y y)
99.4%1(*.f64 z z)
Compiler

Compiled 58 to 38 computations (34.5% saved)

regimes14.0ms (0.2%)

Accuracy

Total -23.3b remaining (-6078.5%)

Threshold costs -23.3b (-6078.5%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 x y)
(+.f64 (*.f64 x y) (*.f64 z (*.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 z x) y))))
(+.f64 (*.f64 x y) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 x y)) (*.f64 #s(literal -1/8 binary64) (/.f64 x y))))))))
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
Outputs
(*.f64 x y)
Calls

8 calls:

2.0ms
(sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))
2.0ms
x
2.0ms
y
2.0ms
z
2.0ms
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
Results
AccuracySegmentsBranch
99.4%1x
99.4%1y
99.4%1z
99.4%1(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
99.4%1(sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))
99.4%1(-.f64 (*.f64 y y) (*.f64 z z))
99.4%1(*.f64 y y)
99.4%1(*.f64 z z)
Compiler

Compiled 58 to 38 computations (34.5% saved)

simplify6.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01761
12361
22861
33061
43161
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z))))
(*.f64 x y)
Outputs
(*.f64 x (*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z))))
(*.f64 x y)

soundness514.0ms (8.3%)

Rules
694×times-frac
645×log1p-expm1-u
645×expm1-log1p-u
642×prod-diff
592×unpow-prod-down
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
074718157
1170217248
2473114957
01254
114754
2191052
Stop Event
fuel
node limit
node limit
Compiler

Compiled 115 to 56 computations (51.3% saved)

preprocess49.0ms (0.8%)

Remove

(negabs x)

(abs z)

Compiler

Compiled 328 to 208 computations (36.6% saved)

end0.0ms (0%)

Profiling

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