Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, B

Time bar (total: 7.1s)

analyze62.0ms (0.9%)

Algorithm
1×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
50%49.9%49.9%0.1%0%0%0%4
50%49.9%49.9%0.1%0%0%0%5
50%49.9%49.9%0.1%0%0%0%6
66.7%49.9%25%0.1%0%25%0%7
66.7%49.9%25%0.1%0%25%0%8
66.7%49.9%25%0.1%0%25%0%9
80%49.9%12.5%0.1%0%37.4%0%10
80%49.9%12.5%0.1%0%37.4%0%11
80%49.9%12.5%0.1%0%37.4%0%12
Compiler

Compiled 14 to 11 computations (21.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 7.0ms (34% of total)
ival-div: 5.0ms (24.3% of total)
ival-sqrt: 4.0ms (19.5% of total)
ival-add: 3.0ms (14.6% of total)
const: 1.0ms (4.9% of total)
backward-pass: 0.0ms (0% of total)

sample1.1s (16.2%)

Results
653.0ms8256×0valid
129.0ms2107×0invalid
Precisions
Click to see histograms. Total time spent on operations: 472.0ms
ival-mult: 208.0ms (44% of total)
ival-sqrt: 108.0ms (22.9% of total)
ival-div: 84.0ms (17.8% of total)
ival-add: 52.0ms (11% of total)
const: 18.0ms (3.8% of total)
backward-pass: 3.0ms (0.6% of total)
Bogosity

preprocess198.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
969×fma-neg
453×fma-define
244×unsub-neg
182×distribute-lft-neg-in
156×cancel-sign-sub-inv
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044376
1128332
2369332
3781332
41343332
52233332
62744332
73237332
83551332
93704332
103785332
113835332
123835332
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (neg.f64 x) (*.f64 y (sqrt.f64 z))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 (neg.f64 z)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (neg.f64 x) (*.f64 y (sqrt.f64 z)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 (neg.f64 z))))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 y (*.f64 x (sqrt.f64 z))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 z (*.f64 y (sqrt.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 z (sqrt.f64 y))))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (neg.f64 x) (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 y (sqrt.f64 z)) (neg.f64 x)))
(*.f64 (fma.f64 (sqrt.f64 z) (neg.f64 y) x) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 (sqrt.f64 z) (neg.f64 y))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) (neg.f64 y) x))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 (neg.f64 z)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 (neg.f64 z)))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 (neg.f64 z)) x))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (neg.f64 x) (*.f64 y (sqrt.f64 z)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 (sqrt.f64 z) (neg.f64 y))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) (neg.f64 y) x))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 y (sqrt.f64 z)) (neg.f64 x)))
(*.f64 (fma.f64 (sqrt.f64 z) (neg.f64 y) x) #s(literal -1/2 binary64))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 (neg.f64 z))))))
(*.f64 #s(literal -1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 (neg.f64 z)))))
(*.f64 (fma.f64 y (sqrt.f64 (neg.f64 z)) x) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 y (*.f64 x (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (+.f64 y (*.f64 x (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (sqrt.f64 z) y))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 z (*.f64 y (sqrt.f64 x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 z (*.f64 y (sqrt.f64 x))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 x) z))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 z (sqrt.f64 y))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 z (sqrt.f64 y))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 z (sqrt.f64 y) x))

explain85.0ms (1.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(*.f64 y (sqrt.f64 z))
00-0-y
00-0-#s(literal 2 binary64)
00-0-(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
00-0-(+.f64 x (*.f64 y (sqrt.f64 z)))
00-0-(sqrt.f64 z)
00-0-z
00-0-#s(literal 1 binary64)
00-0-(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
Results
52.0ms512×0valid
Compiler

Compiled 81 to 32 computations (60.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 9.0ms (43.7% of total)
ival-div: 4.0ms (19.4% of total)
ival-sqrt: 4.0ms (19.4% of total)
ival-add: 3.0ms (14.6% of total)
const: 1.0ms (4.9% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 18 to 10 computations (44.4% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
▶99.8%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify11.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 z)
✓cost-diff0
(fma.f64 y (sqrt.f64 z) x)
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
✓cost-diff-6272
(+.f64 x (*.f64 y (sqrt.f64 z)))
✓cost-diff-6272
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
✓cost-diff0
(sqrt.f64 z)
✓cost-diff0
(*.f64 y (sqrt.f64 z))
Rules
9×*-commutative
9×fma-define
2×distribute-rgt-in
2×associate-*r*
2×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018159
127159
243159
354159
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
#s(literal 1/2 binary64)
(+.f64 x (*.f64 y (sqrt.f64 z)))
x
(*.f64 y (sqrt.f64 z))
y
(sqrt.f64 z)
z
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
#s(literal 1/2 binary64)
(fma.f64 y (sqrt.f64 z) x)
y
(sqrt.f64 z)
z
x
Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
#s(literal 1/2 binary64)
(+.f64 x (*.f64 y (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
x
(*.f64 y (sqrt.f64 z))
y
(sqrt.f64 z)
z
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
#s(literal 1/2 binary64)
(fma.f64 y (sqrt.f64 z) x)
y
(sqrt.f64 z)
z
x

localize46.0ms (0.6%)

Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
✓accuracy100.0%
(sqrt.f64 z)
✓accuracy99.8%
(fma.f64 y (sqrt.f64 z) x)
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
✓accuracy100.0%
(sqrt.f64 z)
✓accuracy100.0%
(+.f64 x (*.f64 y (sqrt.f64 z)))
✓accuracy99.7%
(*.f64 y (sqrt.f64 z))
Results
33.0ms256×0valid
Compiler

Compiled 46 to 11 computations (76.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 6.0ms (46.6% of total)
ival-fma: 3.0ms (23.3% of total)
ival-sqrt: 2.0ms (15.5% of total)
ival-add: 1.0ms (7.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series67.0ms (0.9%)

Counts
6 → 138
Calls
Call 1
Inputs
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (sqrt.f64 z)>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))>
#<alt (fma.f64 y (sqrt.f64 z) x)>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
#<alt x>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
Calls

45 calls:

TimeVariablePointExpression
1.0ms
z
@-inf
(* y (sqrt z))
1.0ms
y
@-inf
(* 1/2 (+ x (* y (sqrt z))))
1.0ms
y
@0
(* y (sqrt z))
1.0ms
y
@inf
(* y (sqrt z))
0.0ms
z
@-inf
(* 1/2 (+ x (* y (sqrt z))))

rewrite340.0ms (4.8%)

Algorithm
1×batch-egg-rewrite
Rules
910×prod-diff
774×log1p-expm1-u
774×expm1-log1p-u
403×log-prod
253×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018125
1205125
22197125
Stop Event
1×node limit
Counts
6 → 235
Calls
Call 1
Inputs
(*.f64 y (sqrt.f64 z))
(sqrt.f64 z)
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(fma.f64 y (sqrt.f64 z) x)
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 y (sqrt.f64 z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) y)) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (sqrt.f64 z)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 z)))))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 z))))
(log1p.f64 (expm1.f64 (*.f64 y (sqrt.f64 z))))
(exp.f64 (log.f64 (*.f64 y (sqrt.f64 z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 z))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 z))) (cbrt.f64 (exp.f64 (sqrt.f64 z))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 z)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 z)))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 z)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 z))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 z))
(*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 z))
(*.f64 (cbrt.f64 z) (cbrt.f64 (sqrt.f64 z)))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 z))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 z)))
(pow.f64 z #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 z #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 z))
(log.f64 (exp.f64 (sqrt.f64 z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 z))))
(cbrt.f64 (pow.f64 z #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 z)))
(log1p.f64 (expm1.f64 (sqrt.f64 z)))
(exp.f64 (log.f64 (sqrt.f64 z)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))))
(+.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 y (sqrt.f64 z) x))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 y (sqrt.f64 z) x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 y (sqrt.f64 z) x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 y (sqrt.f64 z) x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 y (sqrt.f64 z) x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64))))) (-.f64 x (*.f64 y (sqrt.f64 z))))
(/.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (-.f64 x (*.f64 y (sqrt.f64 z))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 y (sqrt.f64 z) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)))))
(log.f64 (*.f64 (exp.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) x))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) #s(literal 1 binary64)))
(fma.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) x))
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(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (sqrt.f64 z))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 z (pow.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y (sqrt.f64 z)) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (-.f64 x (*.f64 y (sqrt.f64 z))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64))))) (neg.f64 (-.f64 x (*.f64 y (sqrt.f64 z)))))
(/.f64 (-.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y (sqrt.f64 z)) x))
(pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (sqrt.f64 z) x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) y) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 z)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 z)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 z))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 (sqrt.f64 z)) y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 z))))))
(cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (sqrt.f64 z) x)))
(exp.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 1 binary64)))

simplify268.0ms (3.8%)

Algorithm
1×egg-herbie
Rules
427×associate-/l*
331×distribute-lft-neg-in
318×cancel-sign-sub-inv
316×distribute-rgt-neg-in
295×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040113640
191512464
2318212336
Stop Event
1×node limit
Counts
373 → 216
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) x)
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))
(*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))
(*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
(*.f64 y (sqrt.f64 z))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))
x
(*.f64 y (sqrt.f64 z))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (sqrt.f64 z))
(*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(*.f64 #s(literal 1/2 binary64) x)
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))
(*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))
(*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))
x
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
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(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(*.f64 y (sqrt.f64 z))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 x (*.f64 y (sqrt.f64 z)))
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(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 y (sqrt.f64 z) x))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 y (sqrt.f64 z) x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 y (sqrt.f64 z) x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 y (sqrt.f64 z) x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 y (sqrt.f64 z) x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64))))) (-.f64 x (*.f64 y (sqrt.f64 z))))
(/.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (-.f64 x (*.f64 y (sqrt.f64 z))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 y (sqrt.f64 z) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)))))
(log.f64 (*.f64 (exp.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) x))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) #s(literal 1 binary64)))
(fma.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) (*.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))) (cbrt.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))))) (cbrt.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))) (cbrt.f64 (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 y (sqrt.f64 z)))) (sqrt.f64 (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 #s(literal 0 binary64) (fma.f64 y (sqrt.f64 z) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x))) (cbrt.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 y (sqrt.f64 z)))) (/.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))
(*.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)) (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)))
(*.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (sqrt.f64 z))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 z (pow.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y (sqrt.f64 z)) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (-.f64 x (*.f64 y (sqrt.f64 z))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64))))) (neg.f64 (-.f64 x (*.f64 y (sqrt.f64 z)))))
(/.f64 (-.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y (sqrt.f64 z)) x))
(pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (sqrt.f64 z) x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) y) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 z)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 z)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 z))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 (sqrt.f64 z)) y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 z))))))
(cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (sqrt.f64 z) x)))
(exp.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(neg.f64 (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(neg.f64 (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(neg.f64 (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(neg.f64 (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)))))
(*.f64 x (*.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)))))
(*.f64 x (*.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)))))
(*.f64 x (*.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)))))
(*.f64 x (*.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)))))
(*.f64 x (*.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (sqrt.f64 z) x))))
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(log.f64 (*.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) y) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(fma.f64 y (sqrt.f64 z) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 z)))) (exp.f64 x)))
(fma.f64 y (sqrt.f64 z) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 z)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(fma.f64 y (sqrt.f64 z) x)
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 z))))))
(fma.f64 y (sqrt.f64 z) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 (sqrt.f64 z)) y)))
(fma.f64 y (sqrt.f64 z) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 z))))))
(fma.f64 y (sqrt.f64 z) x)
(cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 3 binary64)))
(fma.f64 y (sqrt.f64 z) x)
(expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x)))
(fma.f64 y (sqrt.f64 z) x)
(log1p.f64 (expm1.f64 (fma.f64 y (sqrt.f64 z) x)))
(fma.f64 y (sqrt.f64 z) x)
(exp.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x)))
(fma.f64 y (sqrt.f64 z) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 1 binary64)))
(fma.f64 y (sqrt.f64 z) x)

eval32.0ms (0.5%)

Compiler

Compiled 3372 to 757 computations (77.6% saved)

prune52.0ms (0.7%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New23512247
Fresh000
Picked112
Done000
Total23613249
Accuracy
100.0%
Counts
249 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.2%
(*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))
▶86.1%
(*.f64 x (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) #s(literal 1/2 binary64)))
▶86.1%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
98.9%
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x))
52.9%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 2 binary64))))
▶99.6%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))))
99.4%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 z)))))
✓99.8%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
76.3%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (cbrt.f64 (pow.f64 z #s(literal 3/2 binary64))))))
▶57.3%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))))
65.1%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)))))
83.2%
(*.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))
▶47.4%
(*.f64 #s(literal 1/2 binary64) x)
Compiler

Compiled 331 to 244 computations (26.3% saved)

simplify534.0ms (7.5%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) x)
✓cost-diff0
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
✓cost-diff0
(fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) #s(literal 1/2 binary64))
✓cost-diff256
(*.f64 x (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) #s(literal 1/2 binary64)))
✓cost-diff0
(*.f64 z (pow.f64 y #s(literal 2 binary64)))
✓cost-diff0
(sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))
✓cost-diff0
(+.f64 x (sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))))
cost-diff-64
(sqrt.f64 z)
✓cost-diff0
(/.f64 y x)
✓cost-diff0
(*.f64 (/.f64 y x) (sqrt.f64 z))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
✓cost-diff256
(+.f64 x (*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))))
✓cost-diff256
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))))
✓cost-diff6528
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓cost-diff6528
(*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))
Rules
2435×associate-/l*
1744×associate-/l/
565×*-commutative
411×fma-define
396×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035605
173533
2153517
3323517
4583517
5955517
61733517
72746517
83622517
93672517
103675517
113675517
123675517
134210517
144232517
154233517
164233517
174233517
185344517
195469517
206279517
216293517
226303517
236313517
246582517
256604517
266617517
276630517
286643517
296656517
306669517
316683517
326696517
336709517
346722517
356735517
366748517
376761517
386774517
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))))
#s(literal 1/2 binary64)
(+.f64 x (*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))))
x
(*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))
y
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 z #s(literal 1/4 binary64))
z
#s(literal 1/4 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
x
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(/.f64 y x)
y
(sqrt.f64 z)
z
(*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))))
#s(literal 1/2 binary64)
(+.f64 x (sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))))
x
(sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))
(*.f64 z (pow.f64 y #s(literal 2 binary64)))
z
(pow.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
(*.f64 x (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) #s(literal 1/2 binary64)))
x
(fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) #s(literal 1/2 binary64))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
y
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(sqrt.f64 z)
z
Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (pow.f64 z #s(literal 1/2 binary64)) x))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
#s(literal 1/2 binary64)
(+.f64 x (*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 1/2 binary64)) x)
(fma.f64 y (sqrt.f64 z) x)
x
(*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 1/2 binary64)))
(*.f64 y (sqrt.f64 z))
y
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 z #s(literal 1/2 binary64))
(sqrt.f64 z)
(pow.f64 z #s(literal 1/4 binary64))
z
#s(literal 1/4 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (pow.f64 z #s(literal 1/2 binary64)) x))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
x
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(/.f64 y x)
y
(sqrt.f64 z)
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 z #s(literal 1/2 binary64))
z
(*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))))
#s(literal 1/2 binary64)
(+.f64 x (sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))))
x
(sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))
(*.f64 z (pow.f64 y #s(literal 2 binary64)))
z
(pow.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
(*.f64 x (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (pow.f64 z #s(literal 1/2 binary64)) x))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
x
(fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
y
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(sqrt.f64 z)
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 z #s(literal 1/2 binary64))
z

localize122.0ms (1.7%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sqrt.f64 z)
✓accuracy99.6%
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
✓accuracy96.9%
(fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) #s(literal 1/2 binary64))
✓accuracy89.2%
(*.f64 x (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) #s(literal 1/2 binary64)))
✓accuracy100.0%
(pow.f64 y #s(literal 2 binary64))
✓accuracy100.0%
(+.f64 x (sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))))
✓accuracy86.7%
(*.f64 z (pow.f64 y #s(literal 2 binary64)))
✓accuracy66.1%
(sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
accuracy100.0%
(sqrt.f64 z)
✓accuracy93.2%
(*.f64 (/.f64 y x) (sqrt.f64 z))
✓accuracy89.2%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) x)
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))))
✓accuracy100.0%
(+.f64 x (*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))))
✓accuracy99.7%
(*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))
✓accuracy99.2%
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))
Results
86.0ms256×0valid
Compiler

Compiled 166 to 28 computations (83.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-mult: 17.0ms (37.7% of total)
ival-pow: 14.0ms (31% of total)
ival-div: 4.0ms (8.9% of total)
ival-add: 4.0ms (8.9% of total)
ival-sqrt: 4.0ms (8.9% of total)
ival-fma: 3.0ms (6.6% of total)
const: 1.0ms (2.2% of total)
backward-pass: 0.0ms (0% of total)

series60.0ms (0.8%)

Counts
18 → 361
Calls
Call 1
Inputs
#<alt (*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))>
#<alt (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))))>
#<alt (+.f64 x (*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (/.f64 y x)>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))))>
#<alt (+.f64 x (sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 z (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) #s(literal 1/2 binary64)))>
#<alt (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) #s(literal 1/2 binary64))>
#<alt (*.f64 y (/.f64 #s(literal 1/2 binary64) x))>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))>
#<alt (pow.f64 y #s(literal 2 binary64))>
Outputs
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (sqrt.f64 z)>
#<alt (sqrt.f64 z)>
#<alt (sqrt.f64 z)>
#<alt (sqrt.f64 z)>
#<alt (sqrt.f64 z)>
#<alt (sqrt.f64 z)>
#<alt (sqrt.f64 z)>
#<alt (sqrt.f64 z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
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#<alt (*.f64 #s(literal 1/2 binary64) x)>
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#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
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#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 y x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
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#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))>
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#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
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Calls

123 calls:

TimeVariablePointExpression
4.0ms
z
@-inf
(* (/ y x) (sqrt z))
3.0ms
y
@0
(* x (+ (* (* y (/ 1/2 x)) (sqrt z)) 1/2))
3.0ms
z
@-inf
(* y (pow (pow z 1/4) 2))
3.0ms
z
@0
(* x (+ (* (* y (/ 1/2 x)) (sqrt z)) 1/2))
2.0ms
y
@inf
(* 1/2 (* (/ y x) (sqrt z)))

rewrite233.0ms (3.3%)

Algorithm
1×batch-egg-rewrite
Rules
400×log1p-expm1-u
268×associate-*r*
242×expm1-log1p-u
235×add-exp-log
235×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035417
1557401
27869401
Stop Event
1×node limit
Counts
18 → 461
Calls
Call 1
Inputs
(*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))))
(+.f64 x (*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(/.f64 y x)
(*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))))
(+.f64 x (sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))
(*.f64 z (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) #s(literal 1/2 binary64))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
(pow.f64 y #s(literal 2 binary64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (sqrt.f64 z)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1 binary64))
(pow.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))
(fabs.f64 (*.f64 y (sqrt.f64 z)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 z)))))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 z))))
(log1p.f64 (expm1.f64 (*.f64 y (sqrt.f64 z))))
(exp.f64 (log.f64 (*.f64 y (sqrt.f64 z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 z))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 z))) #s(literal 1 binary64))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 z))
(*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 z))
(*.f64 (cbrt.f64 (sqrt.f64 z)) (*.f64 (cbrt.f64 (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 z) (cbrt.f64 (sqrt.f64 z)))
(*.f64 (pow.f64 z #s(literal 1/8 binary64)) (*.f64 (pow.f64 z #s(literal 1/8 binary64)) (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 z))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/8 binary64))) (pow.f64 z #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 z)))
(*.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (cbrt.f64 (sqrt.f64 z))) (cbrt.f64 (pow.f64 z #s(literal 1/4 binary64))))
(sqrt.f64 z)
(fabs.f64 (sqrt.f64 z))
(log.f64 (exp.f64 (sqrt.f64 z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 z))))
(cbrt.f64 (pow.f64 z #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 z)))
(log1p.f64 (expm1.f64 (sqrt.f64 z)))
(exp.f64 (log.f64 (sqrt.f64 z)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64))))) (-.f64 x (*.f64 y (sqrt.f64 z))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (-.f64 x (*.f64 y (sqrt.f64 z))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x) (*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 y (sqrt.f64 z)))) (/.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))
(*.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)) (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)))
(*.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x))) (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (sqrt.f64 z))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y (sqrt.f64 z)) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (-.f64 x (*.f64 y (sqrt.f64 z))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64))))) (neg.f64 (-.f64 x (*.f64 y (sqrt.f64 z)))))
(/.f64 (-.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y (sqrt.f64 z)) x))
(pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (sqrt.f64 z) x))))
(cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (sqrt.f64 z) x)))
(exp.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 1 binary64)))
(fma.f64 y (sqrt.f64 z) x)
(fma.f64 (sqrt.f64 z) y x)
(fma.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 z)) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y (sqrt.f64 z)))
(fma.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y (sqrt.f64 z))) x)
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y (sqrt.f64 z)))
(fma.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) (sqrt.f64 (*.f64 y (sqrt.f64 z))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (sqrt.f64 z)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) x))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) x)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))))) #s(literal 1 binary64))
(/.f64 (*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) x)
(pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) z))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) (/.f64 y x)) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)))) #s(literal 1 binary64))
(/.f64 (*.f64 y (sqrt.f64 z)) x)
(/.f64 (sqrt.f64 z) (/.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (sqrt.f64 z))))
(/.f64 (neg.f64 (*.f64 y (sqrt.f64 z))) (neg.f64 x))
(/.f64 (/.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (neg.f64 x))
(/.f64 (*.f64 (sqrt.f64 z) (neg.f64 y)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (*.f64 y (sqrt.f64 z)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 x))
(pow.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sqrt.f64 z) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 (sqrt.f64 z) x))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) (/.f64 y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)))))
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 (/.f64 y x) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 (sqrt.f64 z) x))))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 (sqrt.f64 z) x))))
(exp.f64 (log.f64 (*.f64 y (/.f64 (sqrt.f64 z) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 (sqrt.f64 z) x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y x))) #s(literal 1 binary64))
(*.f64 y (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 y x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) x))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (cbrt.f64 (/.f64 y x)) (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y x)))
(*.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (/.f64 y x)))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) x))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (/.f64 y (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (/.f64 y x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 y) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) x))
(*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (/.f64 (sqrt.f64 y) (cbrt.f64 x)))
(pow.f64 (/.f64 y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x y) #s(literal -1 binary64))
(neg.f64 (/.f64 y (neg.f64 x)))
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(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) y))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) y))
(*.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1 binary64)))

simplify332.0ms (4.7%)

Algorithm
1×egg-herbie
Rules
577×fma-neg
556×associate-*r*
485×associate-*l*
423×cube-prod
389×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
080727740
1179126136
2623726132
Stop Event
1×node limit
Counts
822 → 511
Calls
Call 1
Inputs
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(sqrt.f64 z)
(sqrt.f64 z)
(sqrt.f64 z)
(sqrt.f64 z)
(sqrt.f64 z)
(sqrt.f64 z)
(sqrt.f64 z)
(sqrt.f64 z)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) x)
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))
(*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))
(*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
(*.f64 y (sqrt.f64 z))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 x (*.f64 y (sqrt.f64 z)))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))
x
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))
(*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))
(*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
(*.f64 #s(literal 1/2 binary64) x)
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))))
(*.f64 y (sqrt.f64 z))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 x (*.f64 y (sqrt.f64 z)))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
x
(+.f64 x (*.f64 y (sqrt.f64 z)))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1 binary64)))
Outputs
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(sqrt.f64 z)
(sqrt.f64 z)
(sqrt.f64 z)
(sqrt.f64 z)
(sqrt.f64 z)
(sqrt.f64 z)
(sqrt.f64 z)
(sqrt.f64 z)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 z)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 z)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 z)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 z)
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x) #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x) #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal -1/2 binary64)))
(*.f64 x (neg.f64 (*.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal -1/2 binary64)))
(*.f64 x (neg.f64 (*.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal -1/2 binary64)))
(*.f64 x (neg.f64 (*.f64 (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) x)
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y))))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y))))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y))))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y))))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y))))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y))))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))
(*.f64 z (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))))
(*.f64 (*.f64 z #s(literal 1/2 binary64)) (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))
(*.f64 z (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))))
(*.f64 (*.f64 z #s(literal 1/2 binary64)) (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))
(*.f64 z (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))))
(*.f64 (*.f64 z #s(literal 1/2 binary64)) (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
(neg.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 x z) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x z) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y #s(literal -1/2 binary64)))) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
(neg.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 x z) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x z) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y #s(literal -1/2 binary64)))) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
(neg.f64 (*.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 x z) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x z) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y #s(literal -1/2 binary64)))) (neg.f64 z))
(*.f64 y (sqrt.f64 z))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
(+.f64 x (*.f64 y (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
(+.f64 x (*.f64 y (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
(*.f64 x (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
(*.f64 x (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
(*.f64 x (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 y (neg.f64 x)) (sqrt.f64 z) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (fma.f64 y (/.f64 (sqrt.f64 z) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 y (neg.f64 x)) (sqrt.f64 z) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (fma.f64 y (/.f64 (sqrt.f64 z) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 y (neg.f64 x)) (sqrt.f64 z) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (fma.f64 y (/.f64 (sqrt.f64 z) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 x))
x
(+.f64 x (*.f64 y (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
(+.f64 x (*.f64 y (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
(+.f64 x (*.f64 y (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
(*.f64 y (sqrt.f64 z))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
(+.f64 x (*.f64 y (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
(+.f64 x (*.f64 y (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
(+.f64 x (*.f64 y (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
(*.f64 y (sqrt.f64 z))
(*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
(*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
(*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
(*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(neg.f64 (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x z) (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
(*.f64 z (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 y) (/.f64 x (neg.f64 z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
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(*.f64 x (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x) #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) x)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) x)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 y y)
(pow.f64 y #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) y))
(pow.f64 y #s(literal 2 binary64))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y #s(literal 4 binary64))))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) y))
(pow.f64 y #s(literal 2 binary64))
(*.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 y #s(literal 2 binary64))
(*.f64 (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(pow.f64 y #s(literal 2 binary64))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(pow.f64 y #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64)))))
(pow.f64 y #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 3 binary64)))
(pow.f64 y #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 y #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y #s(literal 2 binary64))))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1 binary64)))
(pow.f64 y #s(literal 2 binary64))

eval75.0ms (1.1%)

Compiler

Compiled 8866 to 2138 computations (75.9% saved)

prune89.0ms (1.3%)

Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New5667573
Fresh347
Picked325
Done011
Total57214586
Accuracy
100.0%
Counts
586 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶54.2%
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z))
▶86.8%
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))) #s(literal 1/2 binary64)))
86.1%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
▶86.7%
(*.f64 x (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
▶40.6%
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
52.9%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 2 binary64))))
▶99.6%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y))))
✓99.6%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))))
✓99.8%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
76.3%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (cbrt.f64 (pow.f64 z #s(literal 3/2 binary64))))))
57.3%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (*.f64 z (*.f64 y y)))))
65.1%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)))))
83.2%
(*.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))
✓47.4%
(*.f64 #s(literal 1/2 binary64) x)
Compiler

Compiled 351 to 250 computations (28.8% saved)

simplify218.0ms (3.1%)

Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff128
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))
✓cost-diff128
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))
cost-diff0
(sqrt.f64 z)
✓cost-diff0
(/.f64 (sqrt.f64 z) x)
✓cost-diff0
(*.f64 y (/.f64 (sqrt.f64 z) x))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)))
cost-diff0
(/.f64 y x)
cost-diff0
(*.f64 (/.f64 y x) (sqrt.f64 z))
cost-diff0
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
✓cost-diff256
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
cost-diff0
(sqrt.f64 z)
✓cost-diff0
(*.f64 y #s(literal 1/2 binary64))
✓cost-diff0
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z))
✓cost-diff0
(pow.f64 z #s(literal 1/4 binary64))
✓cost-diff384
(+.f64 x (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y)))
✓cost-diff384
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y))))
✓cost-diff6656
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y))
Rules
1668×distribute-lft-in
1069×associate-/l/
834×distribute-rgt-in
568×fma-define
557×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038734
1103631
2276621
3676621
41554621
53204621
63792621
74021621
84693621
94693621
104693621
115833621
125965621
136249621
147580621
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y))))
#s(literal 1/2 binary64)
(+.f64 x (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y)))
x
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y))
(pow.f64 z #s(literal 1/4 binary64))
z
#s(literal 1/4 binary64)
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) y)
y
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z))
(*.f64 y #s(literal 1/2 binary64))
y
#s(literal 1/2 binary64)
(sqrt.f64 z)
z
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
x
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
#s(literal 1/2 binary64)
(*.f64 (/.f64 y x) (sqrt.f64 z))
(/.f64 y x)
y
(sqrt.f64 z)
z
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))) #s(literal 1/2 binary64)))
x
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)))
#s(literal 1/2 binary64)
(*.f64 y (/.f64 (sqrt.f64 z) x))
y
(/.f64 (sqrt.f64 z) x)
(sqrt.f64 z)
z
(*.f64 x (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
x
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
y
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))
#s(literal 1/2 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(sqrt.f64 z)
z
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 z #s(literal 1/2 binary64)) y x))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
#s(literal 1/2 binary64)
(+.f64 x (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y)))
(fma.f64 (pow.f64 z #s(literal 1/2 binary64)) y x)
(fma.f64 y (sqrt.f64 z) x)
x
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y))
(*.f64 y (pow.f64 z #s(literal 1/2 binary64)))
(*.f64 y (sqrt.f64 z))
(pow.f64 z #s(literal 1/4 binary64))
z
#s(literal 1/4 binary64)
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) y)
y
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z))
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (sqrt.f64 z))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(*.f64 y #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) y)
y
#s(literal 1/2 binary64)
(sqrt.f64 z)
z
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (sqrt.f64 z))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
x
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) (sqrt.f64 z))
(*.f64 y (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)))
#s(literal 1/2 binary64)
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(/.f64 y x)
y
(sqrt.f64 z)
z
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 z #s(literal 1/2 binary64)) y x))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
x
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) (sqrt.f64 z) #s(literal 1/2 binary64))
(fma.f64 y (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) (sqrt.f64 z))
(*.f64 y (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x)))
#s(literal 1/2 binary64)
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (sqrt.f64 z) (/.f64 y x))
y
(/.f64 (sqrt.f64 z) x)
(sqrt.f64 z)
z
(*.f64 x (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 z #s(literal 1/2 binary64)) y x))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
x
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) (sqrt.f64 z) #s(literal 1/2 binary64))
(fma.f64 y (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))
y
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x))
#s(literal 1/2 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))
(/.f64 (sqrt.f64 z) x)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(sqrt.f64 z)
z
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 #s(literal 1 binary64) y)

localize164.0ms (2.3%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))
✓accuracy99.6%
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))
✓accuracy97.5%
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
✓accuracy89.2%
(*.f64 x (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
accuracy100.0%
(sqrt.f64 z)
✓accuracy99.6%
(/.f64 (sqrt.f64 z) x)
✓accuracy96.1%
(*.f64 y (/.f64 (sqrt.f64 z) x))
✓accuracy89.2%
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))) #s(literal 1/2 binary64)))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
accuracy100.0%
(sqrt.f64 z)
accuracy93.2%
(*.f64 (/.f64 y x) (sqrt.f64 z))
✓accuracy80.8%
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
✓accuracy100.0%
(*.f64 y #s(literal 1/2 binary64))
accuracy100.0%
(sqrt.f64 z)
✓accuracy99.7%
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y))))
✓accuracy100.0%
(+.f64 x (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y)))
✓accuracy99.7%
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) y)
✓accuracy99.5%
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y))
Results
117.0ms256×0valid
Compiler

Compiled 223 to 32 computations (85.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-mult: 30.0ms (43.8% of total)
ival-add: 17.0ms (24.8% of total)
ival-pow: 11.0ms (16.1% of total)
ival-div: 7.0ms (10.2% of total)
ival-sqrt: 2.0ms (2.9% of total)
const: 1.0ms (1.5% of total)
backward-pass: 0.0ms (0% of total)

series151.0ms (2.1%)

Counts
18 → 417
Calls
Call 1
Inputs
#<alt (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y))))>
#<alt (+.f64 x (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y)))>
#<alt (pow.f64 z #s(literal 1/4 binary64))>
#<alt (*.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z))>
#<alt (*.f64 y #s(literal 1/2 binary64))>
#<alt (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)))>
#<alt (*.f64 y (/.f64 (sqrt.f64 z) x))>
#<alt (/.f64 (sqrt.f64 z) x)>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y)>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))) #s(literal 1/2 binary64)))>
#<alt (*.f64 x (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
Outputs
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt x>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64))>
#<alt (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z))))))>
#<alt (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z))))))>
#<alt (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z))))))>
#<alt (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) x)>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)))))>
Calls

120 calls:

TimeVariablePointExpression
41.0ms
y
@0
(* (pow z 1/4) y)
36.0ms
z
@0
(pow z 1/4)
12.0ms
z
@-inf
(pow z 1/4)
11.0ms
z
@inf
(pow z 1/4)
4.0ms
z
@0
(* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))

rewrite157.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
376×associate-*r*
272×log1p-expm1-u
272×expm1-log1p-u
267×add-exp-log
267×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038502
1671443
Stop Event
1×node limit
Counts
18 → 393
Calls
Call 1
Inputs
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y))))
(+.f64 x (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y)))
(pow.f64 z #s(literal 1/4 binary64))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z))
(*.f64 y #s(literal 1/2 binary64))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(/.f64 (sqrt.f64 z) x)
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) x)
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) y)
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))) #s(literal 1/2 binary64)))
(*.f64 x (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (sqrt.f64 z)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 z)))))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 z))))
(log1p.f64 (expm1.f64 (*.f64 y (sqrt.f64 z))))
(exp.f64 (log.f64 (*.f64 y (sqrt.f64 z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 z))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 y) (log.f64 (sqrt.f64 z))))
(+.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (-.f64 (*.f64 z (*.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y)))))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 z (*.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y)))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (fma.f64 (sqrt.f64 z) y x)) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sqrt.f64 z) y x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 y (sqrt.f64 z)))) (/.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(*.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 z) y x))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 (sqrt.f64 z) y x)))
(*.f64 (sqrt.f64 (fma.f64 (sqrt.f64 z) y x)) (sqrt.f64 (fma.f64 (sqrt.f64 z) y x)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (sqrt.f64 z))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (-.f64 x (*.f64 y (sqrt.f64 z))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64))))) (neg.f64 (-.f64 x (*.f64 y (sqrt.f64 z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y (sqrt.f64 z)) x))))
(/.f64 (-.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y (sqrt.f64 z)) x))
(pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 z) y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 z) y x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (sqrt.f64 z) y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (sqrt.f64 z) y x))))
(cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 z) y x)))
(log1p.f64 (expm1.f64 (fma.f64 (sqrt.f64 z) y x)))
(exp.f64 (log.f64 (fma.f64 (sqrt.f64 z) y x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (sqrt.f64 z) y x)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) x)
(fma.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) (pow.f64 z #s(literal 1/4 binary64)) x)
(fma.f64 (sqrt.f64 z) y x)
(fma.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 z)) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y (sqrt.f64 z)))
(fma.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y (sqrt.f64 z))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y (sqrt.f64 z)))
(fma.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) (sqrt.f64 (*.f64 y (sqrt.f64 z))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (sqrt.f64 z)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 z #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (pow.f64 z #s(literal 1/8 binary64)) (pow.f64 z #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (sqrt.f64 z) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 z) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
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(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y)))))
(log1p.f64 (expm1.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y)))))
(exp.f64 (log.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y)))) #s(literal 1 binary64)))
(fma.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x)) (*.f64 y (/.f64 #s(literal 1/2 binary64) y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x)) y (*.f64 (/.f64 #s(literal 1/2 binary64) y) y))

simplify418.0ms (5.9%)

Algorithm
1×egg-herbie
Rules
497×fma-neg
366×fma-define
309×*-commutative
299×exp-prod
278×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
088625879
1208124648
2570224620
Stop Event
1×node limit
Counts
810 → 542
Calls
Call 1
Inputs
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))
(*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))
(*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
(*.f64 #s(literal 1/2 binary64) x)
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
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(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(*.f64 y (sqrt.f64 z))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 x (*.f64 y (sqrt.f64 z)))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))
x
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z))))))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z))))))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z))))))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
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(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
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(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
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(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) y)
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(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) y)
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(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) y)
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(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
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(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))
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(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x) #s(literal 1/2 binary64))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x) #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x)) x (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x)) x (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x))) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x)))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x)))) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x)))) (sqrt.f64 (*.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x)))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x)))) (sqrt.f64 (*.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x)))) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (/.f64 (sqrt.f64 z) x)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 y (/.f64 (sqrt.f64 z) x)) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x))) (*.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) y))))
(+.f64 (*.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x))) (*.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) y) y)))
(+.f64 (*.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x))) (*.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) y)) x))
(+.f64 (*.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) y) x))
(+.f64 (*.f64 (*.f64 x y) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x))) (*.f64 (*.f64 x y) (/.f64 #s(literal 1/2 binary64) y)))
(+.f64 (*.f64 (*.f64 x y) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (*.f64 x y) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x)) (*.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x y)))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x y)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x)) (*.f64 x y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (*.f64 x y)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y)))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y)))))
(exp.f64 (log.f64 (*.f64 (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x y) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x)) (*.f64 y (/.f64 #s(literal 1/2 binary64) y)))
(+.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) y))
(+.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x)))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) y) (*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x)))
(+.f64 (*.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x)) #s(literal 1 binary64)) (*.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) y) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y))))) #s(literal 1 binary64))
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) y)) (*.f64 y (/.f64 #s(literal 1/2 binary64) y))) (*.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x)) (*.f64 y (/.f64 #s(literal 1/2 binary64) y))))))
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) y) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) y) (*.f64 (/.f64 #s(literal 1/2 binary64) y) y)) (*.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) y)))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (*.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) y)) (*.f64 y (/.f64 #s(literal 1/2 binary64) y)))) (-.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x)) (*.f64 y (/.f64 #s(literal 1/2 binary64) y))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) y) (*.f64 (/.f64 #s(literal 1/2 binary64) y) y))) (-.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) y)))
(pow.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y))))))
(cbrt.f64 (pow.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y)))))
(log1p.f64 (expm1.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y)))))
(exp.f64 (log.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y)))) #s(literal 1 binary64)))
(fma.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x)) (*.f64 y (/.f64 #s(literal 1/2 binary64) y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x)) y (*.f64 (/.f64 #s(literal 1/2 binary64) y) y))
Outputs
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)))
(*.f64 x (*.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)))
(*.f64 x (*.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)))
(*.f64 x (*.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal -1/2 binary64)))
(*.f64 x (neg.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal -1/2 binary64))))
(*.f64 (*.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal -1/2 binary64)))
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(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) y) (*.f64 (/.f64 #s(literal 1/2 binary64) y) y))) (-.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) y)))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) y)))) (-.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x)) (*.f64 y (/.f64 #s(literal 1/2 binary64) y))))
(/.f64 (fma.f64 (*.f64 z #s(literal 1/4 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (neg.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64))))) (*.f64 y (-.f64 (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/2 binary64) y))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (*.f64 z #s(literal 1/4 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)))) (*.f64 y (fma.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))))
(pow.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y))) #s(literal 1 binary64))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x) (*.f64 y (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y)))
(pow.f64 (cbrt.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y)))) #s(literal 3 binary64))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x) (*.f64 y (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y)))
(pow.f64 (pow.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x) (*.f64 y (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y)))
(pow.f64 (sqrt.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y)))) #s(literal 2 binary64))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x) (*.f64 y (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y)))
(sqrt.f64 (pow.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64)))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x) (*.f64 y (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y)))
(log.f64 (pow.f64 (exp.f64 y) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y))))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x) (*.f64 y (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y))))))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x) (*.f64 y (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y)))
(cbrt.f64 (pow.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y))) #s(literal 3 binary64)))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x) (*.f64 y (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x) (*.f64 y (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x) (*.f64 y (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y)))
(expm1.f64 (log1p.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y)))))
(log1p.f64 (expm1.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y)))))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x) (*.f64 y (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y)))
(exp.f64 (log.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y)))))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x) (*.f64 y (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y)))
(exp.f64 (*.f64 (log.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y)))) #s(literal 1 binary64)))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x) (*.f64 y (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y)))
(fma.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x)) (*.f64 y (/.f64 #s(literal 1/2 binary64) y)))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x) (*.f64 y (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x)) y (*.f64 (/.f64 #s(literal 1/2 binary64) y) y))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) x) (*.f64 y (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1/2 binary64) y)))

eval95.0ms (1.3%)

Compiler

Compiled 12566 to 2957 computations (76.5% saved)

prune119.0ms (1.7%)

Pruning

14 alts after pruning (9 fresh and 5 done)

PrunedKeptTotal
New7807787
Fresh426
Picked235
Done123
Total78714801
Accuracy
100.0%
Counts
801 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶54.0%
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))
53.8%
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 z)))
✓54.2%
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z))
▶48.2%
(*.f64 y (*.f64 x (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x))))
✓86.8%
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))) #s(literal 1/2 binary64)))
40.5%
(*.f64 x (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) (/.f64 x y))))
40.5%
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) (sqrt.f64 z))))
▶41.3%
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))))
✓99.6%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y))))
✓99.8%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
57.3%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (*.f64 z (*.f64 y y)))))
▶42.6%
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) (*.f64 y x)))
▶83.2%
(*.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))
✓47.4%
(*.f64 #s(literal 1/2 binary64) x)
Compiler

Compiled 301 to 216 computations (28.2% saved)

simplify271.0ms (3.8%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 z #s(literal 1/4 binary64))
cost-diff0
(*.f64 y #s(literal 1/2 binary64))
cost-diff6528
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓cost-diff6528
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))
cost-diff0
(sqrt.f64 z)
✓cost-diff0
(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x))
✓cost-diff256
(*.f64 x (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x)))
✓cost-diff256
(*.f64 y (*.f64 x (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x))))
cost-diff0
(/.f64 (sqrt.f64 z) x)
cost-diff0
(*.f64 y (/.f64 (sqrt.f64 z) x))
cost-diff0
(*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)))
✓cost-diff256
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))))
cost-diff0
(sqrt.f64 z)
cost-diff0
(/.f64 (sqrt.f64 z) x)
✓cost-diff256
(*.f64 (/.f64 (sqrt.f64 z) x) (*.f64 y x))
✓cost-diff256
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) (*.f64 y x)))
✓cost-diff0
(/.f64 x z)
✓cost-diff0
(/.f64 #s(literal 1 binary64) z)
✓cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
✓cost-diff0
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
Rules
1345×fma-define
818×associate-/r/
813×*-commutative
442×associate-*l/
422×associate-*r/
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
037680
187680
2233680
3406572
4653554
51465554
63899554
73980554
84041554
94188554
104582554
114915554
126340554
136861554
147361554
157589554
167871554
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))
#s(literal 1/2 binary64)
(*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
z
(+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
y
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
(/.f64 x z)
x
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) (*.f64 y x)))
#s(literal 1/2 binary64)
(*.f64 (/.f64 (sqrt.f64 z) x) (*.f64 y x))
(/.f64 (sqrt.f64 z) x)
(sqrt.f64 z)
z
x
(*.f64 y x)
y
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))))
x
(*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)))
#s(literal 1/2 binary64)
(*.f64 y (/.f64 (sqrt.f64 z) x))
y
(/.f64 (sqrt.f64 z) x)
(sqrt.f64 z)
z
(*.f64 y (*.f64 x (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x))))
y
(*.f64 x (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x)))
x
(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x))
(sqrt.f64 z)
z
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 y #s(literal 1/2 binary64))
y
#s(literal 1/2 binary64)
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 z #s(literal 1/4 binary64))
z
#s(literal 1/4 binary64)
#s(literal 2 binary64)
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))))
(*.f64 (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) z))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 z y) (*.f64 x #s(literal 1 binary64))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 z (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x))
#s(literal 1/2 binary64)
(*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
(*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 z y) (*.f64 x #s(literal 1 binary64)))
(fma.f64 z (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x)
z
(+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
y
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
(/.f64 x z)
x
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) (*.f64 y x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) (*.f64 y x)) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 (*.f64 y x) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (*.f64 y (/.f64 x x))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
#s(literal 1/2 binary64)
(*.f64 (/.f64 (sqrt.f64 z) x) (*.f64 y x))
(/.f64 (*.f64 (sqrt.f64 z) (*.f64 y x)) x)
(*.f64 (sqrt.f64 z) (/.f64 (*.f64 y x) x))
(*.f64 (sqrt.f64 z) (*.f64 y (/.f64 x x)))
(*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1 binary64)))
(*.f64 y (sqrt.f64 z))
(/.f64 (sqrt.f64 z) x)
(sqrt.f64 z)
z
x
(*.f64 y x)
y
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) (*.f64 y x)) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 (*.f64 y x) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (*.f64 y (/.f64 x x))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
x
(*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))
#s(literal 1/2 binary64)
(*.f64 y (/.f64 (sqrt.f64 z) x))
(/.f64 (*.f64 y (sqrt.f64 z)) x)
y
(/.f64 (sqrt.f64 z) x)
(sqrt.f64 z)
z
(*.f64 y (*.f64 x (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) (*.f64 y x)) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 (*.f64 y x) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (*.f64 y (/.f64 x x))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
y
(*.f64 x (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 z) x) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))
x
(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x))
(sqrt.f64 z)
z
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) (*.f64 y x)) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 (*.f64 y x) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (*.f64 y (/.f64 x x))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 y #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) y)
y
#s(literal 1/2 binary64)
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 z)
(pow.f64 z #s(literal 1/4 binary64))
z
#s(literal 1/4 binary64)
#s(literal 2 binary64)

localize224.0ms (3.2%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(pow.f64 z #s(literal 1/4 binary64))
accuracy100.0%
(*.f64 y #s(literal 1/2 binary64))
✓accuracy99.7%
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))
accuracy99.2%
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))
accuracy100.0%
(sqrt.f64 z)
✓accuracy99.7%
(*.f64 y (*.f64 x (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x))))
✓accuracy99.6%
(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x))
✓accuracy87.5%
(*.f64 x (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x)))
accuracy100.0%
(sqrt.f64 z)
accuracy99.6%
(/.f64 (sqrt.f64 z) x)
accuracy96.1%
(*.f64 y (/.f64 (sqrt.f64 z) x))
✓accuracy80.8%
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))))
accuracy100.0%
(sqrt.f64 z)
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) (*.f64 y x)))
accuracy99.6%
(/.f64 (sqrt.f64 z) x)
✓accuracy78.7%
(*.f64 (/.f64 (sqrt.f64 z) x) (*.f64 y x))
✓accuracy99.8%
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
✓accuracy99.7%
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
✓accuracy99.7%
(+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))
✓accuracy83.3%
(*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
Results
184.0ms256×0valid
Compiler

Compiled 184 to 31 computations (83.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-mult: 22.0ms (42.6% of total)
ival-pow: 13.0ms (25.2% of total)
ival-div: 8.0ms (15.5% of total)
ival-sqrt: 6.0ms (11.6% of total)
ival-add: 1.0ms (1.9% of total)
const: 1.0ms (1.9% of total)
backward-pass: 0.0ms (0% of total)

series30.0ms (0.4%)

Counts
13 → 284
Calls
Call 1
Inputs
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) z))>
#<alt (/.f64 #s(literal 1 binary64) z)>
#<alt (/.f64 x z)>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) (*.f64 y x)))>
#<alt (*.f64 (/.f64 (sqrt.f64 z) x) (*.f64 y x))>
#<alt (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))))>
#<alt (*.f64 y (*.f64 x (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x))))>
#<alt (*.f64 x (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x))>
#<alt (*.f64 (*.f64 y #s(literal 1/2 binary64)) (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))>
#<alt (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))>
Outputs
#<alt (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt x>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
#<alt (/.f64 x z)>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))))))>
#<alt (/.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) z)>
#<alt (/.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) z)>
#<alt (/.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) z)>
#<alt (/.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) z)>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (+.f64 (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))>
#<alt (+.f64 (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))>
#<alt (+.f64 (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (/.f64 x z)>
#<alt (*.f64 x (+.f64 (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (+.f64 (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (+.f64 (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (/.f64 x z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (/.f64 #s(literal 1 binary64) z))))>
Calls

90 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/ x z)
1.0ms
y
@0
(* y (sqrt (/ 1 z)))
1.0ms
z
@-inf
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
1.0ms
x
@0
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
0.0ms
z
@0
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))

rewrite222.0ms (3.1%)

Algorithm
1×batch-egg-rewrite
Rules
435×log1p-expm1-u
358×associate-*r*
242×expm1-log1p-u
237×add-exp-log
237×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036379
1568361
27687361
Stop Event
1×node limit
Counts
13 → 328
Calls
Call 1
Inputs
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
(/.f64 x z)
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) (*.f64 y x)))
(*.f64 (/.f64 (sqrt.f64 z) x) (*.f64 y x))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))))
(*.f64 y (*.f64 x (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x))))
(*.f64 x (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
(+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (sqrt.f64 z)))) #s(literal 1 binary64))
(/.f64 y (sqrt.f64 z))
(pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y (sqrt.f64 z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y (sqrt.f64 z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y (sqrt.f64 z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y (sqrt.f64 z)))))
(cbrt.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 y (sqrt.f64 z))))
(log1p.f64 (expm1.f64 (/.f64 y (sqrt.f64 z))))
(exp.f64 (log.f64 (/.f64 y (sqrt.f64 z))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (sqrt.f64 z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 z #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z)) (cbrt.f64 (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 z #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 z #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 z #s(literal -2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z)))
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z)))
(/.f64 (sqrt.f64 (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal 1/4 binary64)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 z)))
(pow.f64 z #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 z) #s(literal -1 binary64))
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal -2 binary64))
(pow.f64 (cbrt.f64 (pow.f64 z #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3/2 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (pow.f64 z #s(literal -1/2 binary64))) #s(literal 2 binary64))
(fabs.f64 (pow.f64 z #s(literal -1/2 binary64)))
(log.f64 (exp.f64 (pow.f64 z #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 z #s(literal -1/2 binary64)))))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 z #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 z #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (pow.f64 z #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (neg.f64 (log.f64 z)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z)) (cbrt.f64 (pow.f64 z #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z)) (*.f64 (cbrt.f64 (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 z)))
(*.f64 (sqrt.f64 (pow.f64 z #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 z) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (sqrt.f64 (pow.f64 z #s(literal -1/2 binary64)))) (sqrt.f64 (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 z))) (cbrt.f64 (pow.f64 z #s(literal -1/2 binary64))))
(pow.f64 z #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) z))
(sqrt.f64 (pow.f64 z #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) z))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) z)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) z)))
(exp.f64 (neg.f64 (log.f64 z)))
(exp.f64 (*.f64 (log.f64 z) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 z)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x z))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x z))
(*.f64 (/.f64 #s(literal 1 binary64) z) x)
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x (sqrt.f64 z)))
(*.f64 x (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 x z) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 x z)) (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x z)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) z))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) z))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 x (sqrt.f64 z)) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) z))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) z))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 x) (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x z)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 z)))
(*.f64 (*.f64 x (cbrt.f64 (pow.f64 z #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 z)))
(pow.f64 (/.f64 x z) #s(literal 1 binary64))
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(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))) #s(literal 1 binary64)))
(+.f64 (*.f64 z (/.f64 y (sqrt.f64 z))) (/.f64 (*.f64 z x) z))
(+.f64 (/.f64 (*.f64 z x) z) (*.f64 z (/.f64 y (sqrt.f64 z))))
(+.f64 (*.f64 (*.f64 z (/.f64 y (sqrt.f64 z))) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 z x) z) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 y (sqrt.f64 z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z x) z) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 z (/.f64 y (sqrt.f64 z))) (*.f64 z (/.f64 y (sqrt.f64 z)))) (-.f64 (*.f64 (/.f64 (*.f64 z x) z) (/.f64 (*.f64 z x) z)) (*.f64 (*.f64 z (/.f64 y (sqrt.f64 z))) (/.f64 (*.f64 z x) z)))))
(/.f64 (-.f64 (*.f64 (*.f64 z (/.f64 y (sqrt.f64 z))) (*.f64 z (/.f64 y (sqrt.f64 z)))) (*.f64 (/.f64 (*.f64 z x) z) (/.f64 (*.f64 z x) z))) (-.f64 (*.f64 z (/.f64 y (sqrt.f64 z))) (/.f64 (*.f64 z x) z)))
(/.f64 (*.f64 z (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))))))
(/.f64 (*.f64 z (-.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64))) z) (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) z) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)))
(pow.f64 (*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))))
(cbrt.f64 (pow.f64 (*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))))
(log1p.f64 (expm1.f64 (*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))))
(exp.f64 (log.f64 (*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))) #s(literal 1 binary64)))
(fma.f64 z (/.f64 y (sqrt.f64 z)) (/.f64 (*.f64 z x) z))
(fma.f64 (/.f64 y (sqrt.f64 z)) z (/.f64 (*.f64 z x) z))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))) (/.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))))
(*.f64 #s(literal 1 binary64) (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))
(*.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) (pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))
(*.f64 (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))
(*.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))))))
(*.f64 (-.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))))) (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)) (-.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))))))
(/.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)))))
(/.f64 (-.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))))
(/.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64))) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))))
(pow.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))))
(cbrt.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))
(log1p.f64 (expm1.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))
(exp.f64 (log.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 1 binary64)))
(fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))
(fma.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 z)) (/.f64 x z))
(fma.f64 #s(literal 1 binary64) (/.f64 x z) (/.f64 y (sqrt.f64 z)))
(fma.f64 (pow.f64 z #s(literal -1/2 binary64)) y (/.f64 x z))
(fma.f64 x (/.f64 #s(literal 1 binary64) z) (/.f64 y (sqrt.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x z)) (/.f64 y (sqrt.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 y (sqrt.f64 z))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y (sqrt.f64 z))) (/.f64 x z))
(fma.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)) (/.f64 y (sqrt.f64 z)))
(fma.f64 (sqrt.f64 (/.f64 y (sqrt.f64 z))) (sqrt.f64 (/.f64 y (sqrt.f64 z))) (/.f64 x z))

simplify302.0ms (4.3%)

Algorithm
1×egg-herbie
Rules
461×associate-*r*
416×associate-*l*
356×cube-prod
354×exp-prod
285×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
065216771
1141715239
2511214852
Stop Event
1×node limit
Counts
612 → 385
Calls
Call 1
Inputs
(*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
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(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
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(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
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(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
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(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
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(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
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(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
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(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
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(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
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(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
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(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
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(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) x)
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (neg.f64 x))
(/.f64 (*.f64 (sqrt.f64 z) #s(literal -1/2 binary64)) (neg.f64 x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 z))) (neg.f64 x))
(/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 z (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 z (*.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64)))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 1/2 binary64)) (sqrt.f64 z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))))
(exp.f64 (log.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))) #s(literal 1 binary64)))
(+.f64 (*.f64 z (/.f64 y (sqrt.f64 z))) (/.f64 (*.f64 z x) z))
(+.f64 (/.f64 (*.f64 z x) z) (*.f64 z (/.f64 y (sqrt.f64 z))))
(+.f64 (*.f64 (*.f64 z (/.f64 y (sqrt.f64 z))) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 z x) z) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 y (sqrt.f64 z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z x) z) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 z (/.f64 y (sqrt.f64 z))) (*.f64 z (/.f64 y (sqrt.f64 z)))) (-.f64 (*.f64 (/.f64 (*.f64 z x) z) (/.f64 (*.f64 z x) z)) (*.f64 (*.f64 z (/.f64 y (sqrt.f64 z))) (/.f64 (*.f64 z x) z)))))
(/.f64 (-.f64 (*.f64 (*.f64 z (/.f64 y (sqrt.f64 z))) (*.f64 z (/.f64 y (sqrt.f64 z)))) (*.f64 (/.f64 (*.f64 z x) z) (/.f64 (*.f64 z x) z))) (-.f64 (*.f64 z (/.f64 y (sqrt.f64 z))) (/.f64 (*.f64 z x) z)))
(/.f64 (*.f64 z (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))))))
(/.f64 (*.f64 z (-.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64))) z) (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) z) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)))
(pow.f64 (*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))))
(cbrt.f64 (pow.f64 (*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))))
(log1p.f64 (expm1.f64 (*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))))
(exp.f64 (log.f64 (*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))) #s(literal 1 binary64)))
(fma.f64 z (/.f64 y (sqrt.f64 z)) (/.f64 (*.f64 z x) z))
(fma.f64 (/.f64 y (sqrt.f64 z)) z (/.f64 (*.f64 z x) z))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))) (/.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))))
(*.f64 #s(literal 1 binary64) (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))
(*.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) (pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))
(*.f64 (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))
(*.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))))))
(*.f64 (-.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))))) (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)) (-.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))))))
(/.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)))))
(/.f64 (-.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))))
(/.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64))) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))))
(pow.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))))
(cbrt.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))
(log1p.f64 (expm1.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))
(exp.f64 (log.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 1 binary64)))
(fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))
(fma.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 z)) (/.f64 x z))
(fma.f64 #s(literal 1 binary64) (/.f64 x z) (/.f64 y (sqrt.f64 z)))
(fma.f64 (pow.f64 z #s(literal -1/2 binary64)) y (/.f64 x z))
(fma.f64 x (/.f64 #s(literal 1 binary64) z) (/.f64 y (sqrt.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x z)) (/.f64 y (sqrt.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 y (sqrt.f64 z))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y (sqrt.f64 z))) (/.f64 x z))
(fma.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)) (/.f64 y (sqrt.f64 z)))
(fma.f64 (sqrt.f64 (/.f64 y (sqrt.f64 z))) (sqrt.f64 (/.f64 y (sqrt.f64 z))) (/.f64 x z))
Outputs
(*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(*.f64 y (neg.f64 (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (neg.f64 y))
(*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(*.f64 y (neg.f64 (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (neg.f64 y))
(*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(*.f64 y (neg.f64 (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (neg.f64 y))
(*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))
(*.f64 y (neg.f64 (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (neg.f64 y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(neg.f64 (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(neg.f64 (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(neg.f64 (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(neg.f64 (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 (*.f64 z #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 (*.f64 z #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 (*.f64 z #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 (*.f64 z #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 (*.f64 z #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 (*.f64 z #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 (*.f64 z #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 (*.f64 z #s(literal 1/4 binary64))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 (*.f64 z #s(literal 1/4 binary64))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
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(+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))))
(*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))
(+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x)
(cbrt.f64 (pow.f64 (*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 3 binary64)))
(*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))
(+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x)
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)) #s(literal 3 binary64))))
(*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))
(+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x)
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))
(+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x)
(expm1.f64 (log1p.f64 (*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x)))
(log1p.f64 (expm1.f64 (*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))))
(*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))
(+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x)
(exp.f64 (log.f64 (*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))))
(*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))
(+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x)
(exp.f64 (*.f64 (log.f64 (*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))) #s(literal 1 binary64)))
(*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))
(+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x)
(fma.f64 z (/.f64 y (sqrt.f64 z)) (/.f64 (*.f64 z x) z))
(fma.f64 z (/.f64 y (sqrt.f64 z)) (*.f64 z (/.f64 x z)))
(*.f64 z (+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))))
(fma.f64 z (/.f64 y (sqrt.f64 z)) x)
(fma.f64 (/.f64 y (sqrt.f64 z)) z (/.f64 (*.f64 z x) z))
(fma.f64 z (/.f64 y (sqrt.f64 z)) (*.f64 z (/.f64 x z)))
(*.f64 z (+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))))
(fma.f64 z (/.f64 y (sqrt.f64 z)) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))
(-.f64 (/.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))) (/.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))))
(/.f64 (-.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)))
(*.f64 #s(literal 1 binary64) (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))
(*.f64 x (fma.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z)))
(fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))
(*.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)) #s(literal 1 binary64))
(*.f64 x (fma.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z)))
(fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))
(*.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) (pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 2 binary64)))
(*.f64 x (fma.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z)))
(fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))
(*.f64 x (fma.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z)))
(fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))
(*.f64 (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))
(*.f64 x (fma.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z)))
(fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))
(*.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))))) (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (fma.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))) (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))))
(/.f64 (-.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))))) (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))))) (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (fma.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))) (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)) (-.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)))
(/.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))))) (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (fma.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))) (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)))))
(/.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64))) (*.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))))
(/.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 (/.f64 y (sqrt.f64 z)) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)))))
(/.f64 (-.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))))) (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (fma.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))) (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))))
(/.f64 (-.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)))
(/.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64))) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))))
(/.f64 (-.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)))
(pow.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)) #s(literal 1 binary64))
(*.f64 x (fma.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z)))
(fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))
(pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 3 binary64))
(*.f64 x (fma.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z)))
(fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))
(pow.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x (fma.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z)))
(fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))
(pow.f64 (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 2 binary64))
(*.f64 x (fma.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z)))
(fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))
(sqrt.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)) #s(literal 2 binary64)))
(*.f64 x (fma.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z)))
(fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))
(log.f64 (exp.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))
(*.f64 x (fma.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z)))
(fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))))
(*.f64 x (fma.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z)))
(fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))
(cbrt.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)) #s(literal 3 binary64)))
(*.f64 x (fma.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z)))
(fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))
(expm1.f64 (log1p.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))
(log1p.f64 (expm1.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))
(*.f64 x (fma.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z)))
(fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))
(exp.f64 (log.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))
(*.f64 x (fma.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z)))
(fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z)))
(fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))
(fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))
(*.f64 x (fma.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z)))
(fma.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 z)) (/.f64 x z))
(+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))
(fma.f64 #s(literal 1 binary64) (/.f64 x z) (/.f64 y (sqrt.f64 z)))
(fma.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 z)) (/.f64 x z))
(+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))
(fma.f64 (pow.f64 z #s(literal -1/2 binary64)) y (/.f64 x z))
(*.f64 x (fma.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z)))
(fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))
(fma.f64 x (/.f64 #s(literal 1 binary64) z) (/.f64 y (sqrt.f64 z)))
(fma.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 z)) (/.f64 x z))
(+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x z)) (/.f64 y (sqrt.f64 z)))
(fma.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 z)) (/.f64 x z))
(+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 y (sqrt.f64 z))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y (sqrt.f64 z))) (/.f64 x z))
(fma.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 z)) (/.f64 x z))
(+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))
(fma.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)) (/.f64 y (sqrt.f64 z)))
(fma.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 z)) (/.f64 x z))
(+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))
(fma.f64 (sqrt.f64 (/.f64 y (sqrt.f64 z))) (sqrt.f64 (/.f64 y (sqrt.f64 z))) (/.f64 x z))
(fma.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 z)) (/.f64 x z))
(+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))

eval90.0ms (1.3%)

Compiler

Compiled 10434 to 2582 computations (75.3% saved)

prune194.0ms (2.7%)

Pruning

11 alts after pruning (5 fresh and 6 done)

PrunedKeptTotal
New6963699
Fresh224
Picked325
Done145
Total70211713
Accuracy
100.0%
Counts
713 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓54.2%
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z))
✓48.2%
(*.f64 y (*.f64 x (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x))))
✓86.8%
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))) #s(literal 1/2 binary64)))
40.5%
(*.f64 x (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) (/.f64 x y))))
42.5%
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sqrt.f64 z) (*.f64 y x)))))
✓99.8%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
57.3%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (*.f64 z (*.f64 y y)))))
✓42.6%
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) (*.f64 y x)))
36.8%
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 x z)))
48.5%
(*.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 y (pow.f64 z #s(literal -1/2 binary64)))))
✓47.4%
(*.f64 #s(literal 1/2 binary64) x)
Compiler

Compiled 462 to 217 computations (53% saved)

regimes91.0ms (1.3%)

Counts
32 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 x z)))
(*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 y (pow.f64 z #s(literal -1/2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) (*.f64 y x)))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (*.f64 z (*.f64 y y)))))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
(*.f64 x (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (*.f64 x (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sqrt.f64 z) (*.f64 y x)))))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) (sqrt.f64 z))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))
(*.f64 x (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (cbrt.f64 (pow.f64 z #s(literal 3/2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))))
(*.f64 x (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y))))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 z)))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) x))
Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
Calls

7 calls:

28.0ms
(*.f64 y (sqrt.f64 z))
15.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
12.0ms
x
9.0ms
(sqrt.f64 z)
9.0ms
(+.f64 x (*.f64 y (sqrt.f64 z)))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
99.8%1(+.f64 x (*.f64 y (sqrt.f64 z)))
99.8%1(*.f64 y (sqrt.f64 z))
99.8%1(sqrt.f64 z)
Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes11.0ms (0.2%)

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

4 calls:

4.0ms
x
2.0ms
z
2.0ms
(sqrt.f64 z)
2.0ms
y
Results
AccuracySegmentsBranch
76.6%3x
79.3%3y
60.2%2z
60.2%2(sqrt.f64 z)
Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes5.0ms (0.1%)

Accuracy

Total -6.8b remaining (-20.2%)

Threshold costs -6.8b (-20.2%)

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

3 calls:

2.0ms
x
1.0ms
z
1.0ms
y
Results
AccuracySegmentsBranch
47.4%1z
47.4%1x
47.4%1y
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch71.0ms (1%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
11.0ms
1.1766730078141652e-82
1.9169771847498662e-81
57.0ms
-1.6876454133912662e-34
-1.844793685146041e-40
Results
17.0ms256×0valid
Compiler

Compiled 291 to 239 computations (17.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 4.0ms (43.6% of total)
ival-div: 2.0ms (21.8% of total)
ival-sqrt: 2.0ms (21.8% of total)
ival-add: 1.0ms (10.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify3.0ms (0%)

Algorithm
1×egg-herbie
Rules
5×*-commutative
2×if-if-or-not
1×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027106
138106
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(if (<=.f64 y #s(literal -496910556692507/5846006549323611672814739330865132078623730171904 binary64)) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))) (if (<=.f64 y #s(literal 7860432292188949/17087896287367280659160173649356416916821636178853222159576332862577757806245124400183696695492608 binary64)) (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1/2 binary64) x)
Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(if (<=.f64 y #s(literal -496910556692507/5846006549323611672814739330865132078623730171904 binary64)) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))) (if (<=.f64 y #s(literal 7860432292188949/17087896287367280659160173649356416916821636178853222159576332862577757806245124400183696695492608 binary64)) (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))))
(if (or (<=.f64 y #s(literal -496910556692507/5846006549323611672814739330865132078623730171904 binary64)) (not (<=.f64 y #s(literal 7860432292188949/17087896287367280659160173649356416916821636178853222159576332862577757806245124400183696695492608 binary64)))) (*.f64 (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)

soundness462.0ms (6.5%)

Rules
969×fma-neg
453×fma-define
427×associate-/l*
331×distribute-lft-neg-in
318×cancel-sign-sub-inv
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040113640
191512464
2318212336
044376
1128332
2369332
3781332
41343332
52233332
62744332
73237332
83551332
93704332
103785332
113835332
123835332
Stop Event
1×fuel
1×saturated
1×node limit
Compiler

Compiled 80 to 42 computations (47.5% saved)

preprocess30.0ms (0.4%)

Compiler

Compiled 90 to 56 computations (37.8% saved)

end0.0ms (0%)

Profiling

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