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

Time bar (total: 7.2s)

analyze120.0ms (1.7%)

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: 22.0ms
ival-mult: 8.0ms (36.8% of total)
ival-div: 5.0ms (23% of total)
ival-sqrt: 4.0ms (18.4% of total)
ival-add: 3.0ms (13.8% of total)
const: 1.0ms (4.6% of total)
backward-pass: 0.0ms (0% of total)

sample1.5s (20.3%)

Results
725.0ms8256×0valid
189.0ms2125×0invalid
Precisions
Click to see histograms. Total time spent on operations: 535.0ms
ival-mult: 164.0ms (30.7% of total)
ival-sqrt: 142.0ms (26.5% of total)
ival-add: 120.0ms (22.4% of total)
ival-div: 89.0ms (16.6% of total)
const: 17.0ms (3.2% of total)
backward-pass: 4.0ms (0.7% of total)
Bogosity

preprocess195.0ms (2.7%)

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))

explain90.0ms (1.3%)

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: 20.0ms
ival-mult: 8.0ms (40.5% of total)
ival-div: 4.0ms (20.3% of total)
ival-sqrt: 4.0ms (20.3% of total)
ival-add: 3.0ms (15.2% of total)
const: 1.0ms (5.1% 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)

simplify10.0ms (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

localize44.0ms (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 x (*.f64 y (sqrt.f64 z)))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
✓accuracy100.0%
(sqrt.f64 z)
✓accuracy99.7%
(*.f64 y (sqrt.f64 z))
Results
30.0ms256×0valid
Compiler

Compiled 46 to 11 computations (76.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 5.0ms (40.7% of total)
ival-fma: 3.0ms (24.4% of total)
ival-sqrt: 2.0ms (16.3% of total)
ival-add: 1.0ms (8.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series18.0ms (0.3%)

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
x
@0
(* 1/2 (+ x (* y (sqrt z))))

rewrite297.0ms (4.1%)

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)))

simplify163.0ms (2.3%)

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 x (*.f64 y (sqrt.f64 z)))
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(*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
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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 #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 (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 (0.4%)

Compiler

Compiled 3372 to 757 computations (77.6% saved)

prune47.0ms (0.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New23710247
Fresh000
Picked112
Done000
Total23811249
Accuracy
100.0%
Counts
249 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.8%
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) #s(literal 2 binary64))
▶90.6%
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (/.f64 x y)))
53.1%
(*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))
85.7%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
43.2%
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 y) x))
▶45.9%
(*.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)))))
✓99.8%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
82.4%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (cbrt.f64 (pow.f64 z #s(literal 3/2 binary64))))))
▶84.5%
(*.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))
▶49.0%
(*.f64 #s(literal 1/2 binary64) x)
Compiler

Compiled 267 to 196 computations (26.6% saved)

simplify261.0ms (3.6%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 (*.f64 y (sqrt.f64 z)))
✓cost-diff6592
(+.f64 x (pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 2 binary64)))
✓cost-diff6592
(*.f64 #s(literal 1/2 binary64) (+.f64 x (pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 2 binary64))))
✓cost-diff12864
(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 2 binary64))
✓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)))
cost-diff-64
(sqrt.f64 z)
✓cost-diff0
(/.f64 x y)
✓cost-diff0
(+.f64 (sqrt.f64 z) (/.f64 x y))
✓cost-diff0
(*.f64 y #s(literal 1/2 binary64))
✓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
3944×associate-/l/
961×associate-/r*
642×*-commutative
544×fma-define
456×associate-*l/
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
037657
186571
2203549
3380543
4507531
5641531
61297531
73287531
83417531
93459531
103461531
113461531
124712531
134834531
144954531
154954531
165179531
175206531
185216531
195216531
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 (*.f64 y #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 y #s(literal 1/2 binary64))
y
#s(literal 1/2 binary64)
(+.f64 (sqrt.f64 z) (/.f64 x y))
(sqrt.f64 z)
z
(/.f64 x y)
x
(*.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 x (pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(+.f64 x (pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 2 binary64)))
x
(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 y (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
y
(sqrt.f64 z)
z
#s(literal 2 binary64)
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 (*.f64 y #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.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))
(*.f64 y #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) y)
y
#s(literal 1/2 binary64)
(+.f64 (sqrt.f64 z) (/.f64 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 x y)
x
(*.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 x #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x))
(*.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 x #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x)
(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 x (pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) #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 #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 (pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 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
(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 2 binary64))
(*.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))
(sqrt.f64 (*.f64 y (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.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)))
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
#s(literal 2 binary64)

localize172.0ms (2.4%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sqrt.f64 z)
accuracy99.9%
(*.f64 y (sqrt.f64 z))
✓accuracy99.7%
(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 2 binary64))
✓accuracy95.9%
(sqrt.f64 (*.f64 y (sqrt.f64 z)))
✓accuracy100.0%
(+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))
✓accuracy99.9%
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
✓accuracy99.9%
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
✓accuracy91.8%
(*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
✓accuracy100.0%
(*.f64 y #s(literal 1/2 binary64))
accuracy100.0%
(sqrt.f64 z)
✓accuracy100.0%
(+.f64 (sqrt.f64 z) (/.f64 x y))
✓accuracy96.2%
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (/.f64 x y)))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) x)
✓accuracy100.0%
(+.f64 x (*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))))
✓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)))))
✓accuracy99.9%
(*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))
✓accuracy99.6%
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))
Results
48.0ms145×0invalid
39.0ms111×0valid
Compiler

Compiled 178 to 31 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-mult: 18.0ms (35.5% of total)
ival-pow: 14.0ms (27.6% of total)
ival-div: 7.0ms (13.8% of total)
ival-add: 5.0ms (9.9% of total)
ival-sqrt: 5.0ms (9.9% of total)
const: 1.0ms (2% of total)
backward-pass: 0.0ms (0% of total)

series114.0ms (1.6%)

Counts
19 → 367
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 y #s(literal 1/2 binary64))>
#<alt (+.f64 (sqrt.f64 z) (/.f64 x y))>
#<alt (/.f64 x y)>
#<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 (pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 2 binary64))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 x (pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 2 binary64))))>
#<alt (+.f64 x (pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 2 binary64)))>
#<alt (sqrt.f64 (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 (*.f64 y #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<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 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)>
#<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))))>
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#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
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#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt x>
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#<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

123 calls:

TimeVariablePointExpression
30.0ms
y
@0
(sqrt (* y (sqrt z)))
20.0ms
z
@0
(sqrt (* y (sqrt z)))
7.0ms
z
@inf
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
7.0ms
z
@inf
(sqrt (* y (sqrt z)))
3.0ms
x
@0
(+ (sqrt z) (/ x y))

rewrite479.0ms (6.6%)

Algorithm
1×batch-egg-rewrite
Rules
693×log1p-expm1-u
237×associate-*r*
224×expm1-log1p-u
216×add-cube-cbrt
215×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036422
1585388
27234388
Stop Event
1×node limit
Counts
19 → 518
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 y #s(literal 1/2 binary64))
(+.f64 (sqrt.f64 z) (/.f64 x y))
(/.f64 x y)
(*.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)
(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 2 binary64))))
(+.f64 x (pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 y (sqrt.f64 z)))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.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))
(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 2 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 (*.f64 z (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) #s(literal 1/3 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 (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 #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)))))
(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 (cbrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 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 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1 binary64))
(*.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 x (*.f64 y (sqrt.f64 z))))))
(/.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) x (*.f64 y (sqrt.f64 z)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 z)) x)
(fma.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) (sqrt.f64 (*.f64 y (sqrt.f64 z))) x)
(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 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 y #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 y) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 y #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 y #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)))) #s(literal 1 binary64))
(-.f64 (/.f64 z (-.f64 (sqrt.f64 z) (/.f64 x y))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (sqrt.f64 z) (/.f64 x y))))
(*.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 z) (/.f64 x y))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 z) (/.f64 x y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 z) (/.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (sqrt.f64 z) (/.f64 x y))))
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 z) (/.f64 x y))) (sqrt.f64 (+.f64 (sqrt.f64 z) (/.f64 x y))))
(*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) (sqrt.f64 z))))))
(*.f64 (-.f64 z (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 z) (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) (sqrt.f64 z)))) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 z) (/.f64 x y)) (-.f64 z (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64))) (+.f64 z (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) (sqrt.f64 z)))))
(/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64))) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 z (/.f64 (*.f64 (sqrt.f64 z) x) y))))
(/.f64 (-.f64 z (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 (sqrt.f64 z) (/.f64 x y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)))) (neg.f64 (+.f64 z (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) (sqrt.f64 z))))))
(/.f64 (neg.f64 (-.f64 z (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (sqrt.f64 z) (/.f64 x y))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (-.f64 (/.f64 x y) (sqrt.f64 z)))
(pow.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 z) (/.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 z) (/.f64 x y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 z) (/.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 z) (/.f64 x y))))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 z) (/.f64 x y))))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 z) (/.f64 x y))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 z) (/.f64 x y))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)) (/.f64 x y))
(fma.f64 x (/.f64 #s(literal 1 binary64) y) (sqrt.f64 z))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 z) (/.f64 x y))
(fma.f64 #s(literal 1 binary64) (/.f64 x y) (sqrt.f64 z))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)) (sqrt.f64 z))
(fma.f64 (cbrt.f64 z) (cbrt.f64 (sqrt.f64 z)) (/.f64 x y))
(fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) (sqrt.f64 z))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x y))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
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(/.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 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))
(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 (cbrt.f64 (pow.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))

simplify449.0ms (6.2%)

Algorithm
1×egg-herbie
Rules
548×fma-neg
398×*-commutative
331×fma-define
234×exp-prod
230×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
099029459
1222527851
2617427801
Stop Event
1×node limit
Counts
885 → 640
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) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) y)
(sqrt.f64 z)
(*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x (*.f64 y z))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x (*.f64 y z))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x (*.f64 y 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 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (*.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 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (*.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 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(sqrt.f64 z)
(/.f64 x y)
(*.f64 x (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y)))
(/.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) y))))
(/.f64 x y)
(/.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) y)
(/.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) y)
(/.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) y)
(sqrt.f64 z)
(sqrt.f64 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 (*.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 y (sqrt.f64 z))
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(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.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)))
(*.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))
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(*.f64 y (sqrt.f64 z))
(*.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 1/2 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))))
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(*.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 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))
(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 (cbrt.f64 (pow.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 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 y (*.f64 (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 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 (fma.f64 (/.f64 (*.f64 y #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 (fma.f64 (/.f64 (*.f64 y #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 (fma.f64 (/.f64 (*.f64 y #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 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y 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 (sqrt.f64 z) (/.f64 y 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 (sqrt.f64 z) (/.f64 y 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 1/2 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 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.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 (+.f64 (sqrt.f64 z) (/.f64 x y)) (*.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 (+.f64 (sqrt.f64 z) (/.f64 x y)) (*.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 (+.f64 (sqrt.f64 z) (/.f64 x y)) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.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 (neg.f64 y) (*.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y))) (neg.f64 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 (neg.f64 y) (*.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y))) (neg.f64 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 (neg.f64 y) (*.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y))) (neg.f64 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 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.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 z (*.f64 #s(literal 1/2 binary64) (fma.f64 y (pow.f64 z #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 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))))
(*.f64 z (*.f64 #s(literal 1/2 binary64) (fma.f64 y (pow.f64 z #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 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))))
(*.f64 z (*.f64 #s(literal 1/2 binary64) (fma.f64 y (pow.f64 z #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 (*.f64 y (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal -1/2 binary64))
(*.f64 (sqrt.f64 z) (*.f64 #s(literal -1/2 binary64) (neg.f64 y)))
(*.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 (neg.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 x z) (*.f64 #s(literal 1/2 binary64) (*.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 #s(literal 1/2 binary64) (*.f64 y (neg.f64 (pow.f64 z #s(literal -1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 x 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 (neg.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 x z) (*.f64 #s(literal 1/2 binary64) (*.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 #s(literal 1/2 binary64) (*.f64 y (neg.f64 (pow.f64 z #s(literal -1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 x 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 (neg.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 x z) (*.f64 #s(literal 1/2 binary64) (*.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 #s(literal 1/2 binary64) (*.f64 y (neg.f64 (pow.f64 z #s(literal -1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 x 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 (+.f64 (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 1 binary64)))
(*.f64 x (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
(*.f64 x (+.f64 (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 1 binary64)))
(*.f64 x (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
(*.f64 x (+.f64 (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal 1 binary64)))
(*.f64 x (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)))
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(/.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 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 (/.f64 x 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 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 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 (/.f64 x 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 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 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (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 (neg.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 (/.f64 x 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 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 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 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 (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))))
(pow.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))
(pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 3 binary64))
(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))
(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))
(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)))
(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))))
(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)))))
(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)))
(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))))
(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))))
(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 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)))
(+.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 #s(literal 1 binary64) (/.f64 x z) (/.f64 y (sqrt.f64 z)))
(+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))
(fma.f64 (pow.f64 z #s(literal -1/2 binary64)) y (/.f64 x z))
(fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x z)) (/.f64 y (sqrt.f64 z)))
(fma.f64 (cbrt.f64 (/.f64 x z)) (cbrt.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (/.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))
(+.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)))
(+.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))
(+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))

eval105.0ms (1.5%)

Compiler

Compiled 11922 to 2727 computations (77.1% saved)

prune209.0ms (2.9%)

Pruning

16 alts after pruning (11 fresh and 5 done)

PrunedKeptTotal
New7178725
Fresh235
Picked145
Done011
Total72016736
Accuracy
100.0%
Counts
736 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.4%
(/.f64 (*.f64 (-.f64 z (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y #s(literal 1/2 binary64))) (-.f64 (sqrt.f64 z) (/.f64 x y)))
39.8%
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 x y))
✓90.6%
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (/.f64 x y)))
81.9%
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 z (+.f64 (/.f64 x (*.f64 y z)) (pow.f64 z #s(literal -1/2 binary64)))))
53.1%
(*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))
▶85.7%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
✓45.9%
(*.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)))))
✓99.8%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
82.4%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (cbrt.f64 (pow.f64 z #s(literal 3/2 binary64))))))
▶39.3%
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 x z)))
84.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))))
▶84.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 x z))))
▶47.8%
(*.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 y (pow.f64 z #s(literal -1/2 binary64)))))
✓49.0%
(*.f64 #s(literal 1/2 binary64) x)
▶26.6%
(fabs.f64 (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 352 to 250 computations (29% saved)

simplify250.0ms (3.5%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(*.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
✓cost-diff128
(+.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 x z))
✓cost-diff320
(*.f64 z (+.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 x z)))
✓cost-diff320
(*.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 x z))))
✓cost-diff0
(pow.f64 z #s(literal -1/2 binary64))
✓cost-diff0
(*.f64 y (pow.f64 z #s(literal -1/2 binary64)))
✓cost-diff192
(*.f64 z (*.f64 y (pow.f64 z #s(literal -1/2 binary64))))
✓cost-diff192
(*.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 y (pow.f64 z #s(literal -1/2 binary64)))))
cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
✓cost-diff0
(fabs.f64 (*.f64 #s(literal 1/2 binary64) x))
cost-diff0
(/.f64 x z)
✓cost-diff256
(*.f64 z (/.f64 x z))
✓cost-diff256
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 x z)))
cost-diff0
(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)))
Rules
1703×distribute-lft-in
711×fma-define
683×fabs-mul
505×distribute-rgt-in
317×associate-*r/
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
033586
181566
2195548
3472494
4818465
51300461
63008461
73295461
83574461
94255461
105672461
116082461
126743461
136946461
147002461
157014461
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.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 z (/.f64 x z)))
#s(literal 1/2 binary64)
(*.f64 z (/.f64 x z))
z
(/.f64 x z)
x
(fabs.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(*.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 y (pow.f64 z #s(literal -1/2 binary64)))))
#s(literal 1/2 binary64)
(*.f64 z (*.f64 y (pow.f64 z #s(literal -1/2 binary64))))
z
(*.f64 y (pow.f64 z #s(literal -1/2 binary64)))
y
(pow.f64 z #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 x z))))
#s(literal 1/2 binary64)
(*.f64 z (+.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 x z)))
z
(+.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 x z))
(*.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
y
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
#s(literal 1 binary64)
(sqrt.f64 z)
(/.f64 x z)
x
Outputs
(*.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 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))))
(*.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 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)))
#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 y (/.f64 (sqrt.f64 z) x)))
(*.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(/.f64 y x)
y
(sqrt.f64 z)
z
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 x z)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z x) z))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 z z)))
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 z (/.f64 x z))
x
z
(/.f64 x z)
x
(fabs.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 x))
(fabs.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z x) z))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 x z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 z z)))
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
(*.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 y (pow.f64 z #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 z #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
#s(literal 1/2 binary64)
(*.f64 z (*.f64 y (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 y (pow.f64 z #s(literal 1/2 binary64)))
(*.f64 y (sqrt.f64 z))
z
(*.f64 y (pow.f64 z #s(literal -1/2 binary64)))
y
(pow.f64 z #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 x z))))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (fma.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x z))))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))))
(*.f64 (+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) z))
(fma.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 z (sqrt.f64 z))) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 y (/.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal -1/2 binary64))) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 y (pow.f64 z #s(literal -1/2 binary64)))))
#s(literal 1/2 binary64)
(*.f64 z (+.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 x z)))
(*.f64 z (fma.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x z)))
(*.f64 z (+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))))
(fma.f64 x #s(literal 1 binary64) (*.f64 y (/.f64 z (sqrt.f64 z))))
(fma.f64 y (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))) x)
(+.f64 x (/.f64 y (pow.f64 z #s(literal -1/2 binary64))))
z
(+.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 x z))
(fma.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x z))
(+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))
(*.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(/.f64 y (sqrt.f64 z))
y
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
#s(literal 1 binary64)
(sqrt.f64 z)
(/.f64 x z)
x

localize176.0ms (2.4%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(*.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
✓accuracy99.7%
(+.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 x z))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
✓accuracy84.5%
(*.f64 z (+.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 x z)))
✓accuracy100.0%
(pow.f64 z #s(literal -1/2 binary64))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 y (pow.f64 z #s(literal -1/2 binary64)))))
✓accuracy99.7%
(*.f64 y (pow.f64 z #s(literal -1/2 binary64)))
✓accuracy87.8%
(*.f64 z (*.f64 y (pow.f64 z #s(literal -1/2 binary64))))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) x)
✓accuracy100.0%
(fabs.f64 (*.f64 #s(literal 1/2 binary64) x))
accuracy100.0%
(/.f64 x z)
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 x z)))
✓accuracy78.7%
(*.f64 z (/.f64 x z))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
accuracy100.0%
(sqrt.f64 z)
✓accuracy94.8%
(*.f64 (/.f64 y x) (sqrt.f64 z))
✓accuracy89.9%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
Results
142.0ms256×0valid
Compiler

Compiled 160 to 27 computations (83.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-mult: 34.0ms (56.9% of total)
ival-pow: 8.0ms (13.4% of total)
ival-sqrt: 7.0ms (11.7% of total)
ival-div: 6.0ms (10% of total)
ival-add: 3.0ms (5% of total)
ival-fabs: 1.0ms (1.7% of total)
const: 1.0ms (1.7% of total)
backward-pass: 0.0ms (0% of total)

series42.0ms (0.6%)

Counts
16 → 313
Calls
Call 1
Inputs
#<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 z (/.f64 x z)))>
#<alt (*.f64 z (/.f64 x z))>
#<alt (fabs.f64 (*.f64 #s(literal 1/2 binary64) x))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 y (pow.f64 z #s(literal -1/2 binary64)))))>
#<alt (*.f64 z (*.f64 y (pow.f64 z #s(literal -1/2 binary64))))>
#<alt (*.f64 y (pow.f64 z #s(literal -1/2 binary64)))>
#<alt (pow.f64 z #s(literal -1/2 binary64))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 x z))))>
#<alt (*.f64 z (+.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 x z)))>
#<alt (+.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 x z))>
#<alt (*.f64 y (/.f64 #s(literal 1 binary64) (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 binary64) (sqrt.f64 z))>
Outputs
#<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 -1/2 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 -1/2 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 -1/2 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 (/.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 (/.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 (/.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 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<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 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 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z))>
#<alt (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z))>
#<alt (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z))>
#<alt (*.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 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) z))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) z))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) z))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) z))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) z))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) z))>
#<alt (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 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 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 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)))))>
#<alt (*.f64 #s(literal -1 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)))))>
#<alt (*.f64 #s(literal -1 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)))))>
#<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 (*.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 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 y (sqrt.f64 z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (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 y (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 y (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 (*.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))>
#<alt (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.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 (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))>
#<alt (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (+.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))>
#<alt (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (+.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))>
#<alt (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x 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))))>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (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 #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 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) z))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) z))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) z))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) z))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) z))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) z))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) z))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) z))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) z))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) z))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) z))>
Calls

105 calls:

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

rewrite245.0ms (3.4%)

Algorithm
1×batch-egg-rewrite
Rules
515×log1p-expm1-u
301×associate-*r*
243×expm1-log1p-u
227×add-cube-cbrt
226×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033431
1549409
27549409
Stop Event
1×node limit
Counts
16 → 381
Calls
Call 1
Inputs
(*.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 z (/.f64 x z)))
(*.f64 z (/.f64 x z))
(fabs.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 y (pow.f64 z #s(literal -1/2 binary64)))))
(*.f64 z (*.f64 y (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 y (pow.f64 z #s(literal -1/2 binary64)))
(pow.f64 z #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 x z))))
(*.f64 z (+.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 x z)))
(+.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 x z))
(*.f64 y (/.f64 #s(literal 1 binary64) (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 binary64) (sqrt.f64 z))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))))) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))) x)
(/.f64 (*.f64 (*.f64 y (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 (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 y (/.f64 (sqrt.f64 z) x))))
(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 (sqrt.f64 z) (/.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (sqrt.f64 z))))
(/.f64 (*.f64 y (sqrt.f64 z)) x)
(/.f64 (neg.f64 (*.f64 y (sqrt.f64 z))) (neg.f64 x))
(/.f64 (*.f64 (sqrt.f64 z) (neg.f64 y)) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (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))
(/.f64 (/.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 x)) (sqrt.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))))
(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 (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 (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 (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 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) x))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) x))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (/.f64 y (cbrt.f64 x)))
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(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 (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 3 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 (*.f64 #s(literal -1/2 binary64) (log.f64 z)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 z)) #s(literal 1 binary64)))

simplify267.0ms (3.7%)

Algorithm
1×egg-herbie
Rules
535×fma-neg
513×associate-*r*
453×associate-*l*
393×exp-prod
361×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
080221084
1178719141
2629319137
Stop Event
1×node limit
Counts
694 → 504
Calls
Call 1
Inputs
(*.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) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
x
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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)))
(*.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) (*.f64 y (sqrt.f64 z)))
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(*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z))
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(*.f64 y (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 (*.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 (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 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
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(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
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(*.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 y (sqrt.f64 z)))
(*.f64 #s(literal -1 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 #s(literal -1 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 #s(literal -1 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 #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)))))
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(*.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))))
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(*.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)))))
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(*.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)
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(*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
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(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
x
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 x (*.f64 y (sqrt.f64 z)))
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(*.f64 y (sqrt.f64 z))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))
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(*.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 x (*.f64 y (sqrt.f64 z)))
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x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))
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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))))
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(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 x (/.f64 #s(literal 1 binary64) 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))
(fma.f64 (pow.f64 z #s(literal -1/2 binary64)) y (/.f64 x z))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x z)) (/.f64 y (sqrt.f64 z)))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) z)) (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))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (sqrt.f64 z)))) #s(literal 1 binary64))
(/.f64 y (sqrt.f64 z))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) y))
(/.f64 (neg.f64 y) (neg.f64 (sqrt.f64 z)))
(/.f64 (/.f64 y #s(literal 1 binary64)) (sqrt.f64 z))
(/.f64 (/.f64 y (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)))
(/.f64 (/.f64 y (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z)))
(/.f64 (*.f64 y #s(literal -1 binary64)) (neg.f64 (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 (/.f64 (pow.f64 y #s(literal 2 binary64)) z))
(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 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 1/2 binary64) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) (*.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) (*.f64 #s(literal 1/2 binary64) x)))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 x (+.f64 (*.f64 (pow.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))))))
(/.f64 (*.f64 x (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)))))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/8 binary64)) x) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 z (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 1/4 binary64))) x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)))))
(pow.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.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 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.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 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) (*.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) (*.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 (*.f64 y (/.f64 (sqrt.f64 z) x)) (*.f64 #s(literal 1/2 binary64) x)))
(-.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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 z))))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal -1/2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) z)) (cbrt.f64 (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (pow.f64 z #s(literal -1/4 binary64)) (pow.f64 z #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 z)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #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 -1/2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal -1/2 binary64)))
(pow.f64 z #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 z) #s(literal -1 binary64))
(pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 z #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 z #s(literal -1/4 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(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 (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 3 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 (*.f64 #s(literal -1/2 binary64) (log.f64 z)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 z)) #s(literal 1 binary64)))
Outputs
(*.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 y (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x)) (sqrt.f64 z)))
(*.f64 y (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x)))
(*.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 y (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x)) (sqrt.f64 z)))
(*.f64 y (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x)))
(*.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 y (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x)) (sqrt.f64 z)))
(*.f64 y (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x)))
(*.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 y (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x)) (sqrt.f64 z)))
(*.f64 y (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) x)))
(*.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)))
(neg.f64 (*.f64 (*.f64 y (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x)) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(*.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)))
(neg.f64 (*.f64 (*.f64 y (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x)) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(*.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)))
(neg.f64 (*.f64 (*.f64 y (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x)) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(*.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)))
(neg.f64 (*.f64 (*.f64 y (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x)) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
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(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 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 #s(literal 1/2 binary64) (*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z))))
(*.f64 (sqrt.f64 z) (*.f64 #s(literal -1/2 binary64) y))
(*.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 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z))))
(*.f64 (sqrt.f64 z) (*.f64 #s(literal -1/2 binary64) y))
(*.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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(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(log.f64 (exp.f64 (pow.f64 z #s(literal -1/2 binary64))))
(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)))))
(pow.f64 z #s(literal -1/2 binary64))
(cbrt.f64 (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(pow.f64 z #s(literal -1/2 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))))
(pow.f64 z #s(literal -1/2 binary64))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 z)))
(pow.f64 z #s(literal -1/2 binary64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 z)) #s(literal 1 binary64)))
(pow.f64 z #s(literal -1/2 binary64))

eval92.0ms (1.3%)

Compiler

Compiled 10030 to 2396 computations (76.1% saved)

prune100.0ms (1.4%)

Pruning

18 alts after pruning (10 fresh and 8 done)

PrunedKeptTotal
New6608668
Fresh426
Picked145
Done145
Total66618684
Accuracy
100.0%
Counts
684 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.3%
(/.f64 (*.f64 (*.f64 x z) #s(literal 1/2 binary64)) z)
▶39.2%
(/.f64 (*.f64 #s(literal 1/2 binary64) z) (/.f64 z x))
52.9%
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 z (sqrt.f64 z)))
39.8%
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 x y))
✓90.6%
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (/.f64 x y)))
▶53.1%
(*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))
▶89.8%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (sqrt.f64 z)))))))
✓85.7%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
50.2%
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 z)))
▶39.4%
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x z) z))
39.3%
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x z))))
✓45.9%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 2 binary64))))
✓99.8%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
✓39.3%
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 x z)))
✓84.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 x z))))
▶39.1%
(*.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) z) x)))
✓49.0%
(*.f64 #s(literal 1/2 binary64) x)
✓26.6%
(fabs.f64 (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 317 to 230 computations (27.4% saved)

simplify182.0ms (2.5%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y #s(literal 1/2 binary64))
cost-diff0
(sqrt.f64 z)
✓cost-diff0
(*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) z)
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) z) x)
✓cost-diff384
(*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) z) x))
✓cost-diff384
(*.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) z) x)))
✓cost-diff0
(/.f64 z x)
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) z)
✓cost-diff256
(/.f64 (*.f64 #s(literal 1/2 binary64) z) (/.f64 z x))
✓cost-diff0
(*.f64 x z)
✓cost-diff256
(/.f64 (*.f64 x z) z)
✓cost-diff256
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x z) z))
cost-diff0
(*.f64 y (sqrt.f64 z))
✓cost-diff0
(/.f64 x (*.f64 y (sqrt.f64 z)))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (sqrt.f64 z))))
✓cost-diff128
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (sqrt.f64 z)))))
Rules
5050×associate-/r*
772×fma-define
592×*-commutative
424×associate-*r/
366×associate-*l/
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
031449
175389
2155375
3668364
43518360
54191360
64573360
74637360
84637360
94637360
104683360
114683360
124683360
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (sqrt.f64 z)))))))
x
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (sqrt.f64 z))))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (sqrt.f64 z)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (sqrt.f64 z))))
#s(literal 1 binary64)
(/.f64 x (*.f64 y (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
y
(sqrt.f64 z)
z
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x z) z))
#s(literal 1/2 binary64)
(/.f64 (*.f64 x z) z)
(*.f64 x z)
x
z
(/.f64 (*.f64 #s(literal 1/2 binary64) z) (/.f64 z x))
(*.f64 #s(literal 1/2 binary64) z)
#s(literal 1/2 binary64)
z
(/.f64 z x)
x
(*.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) z) x)))
#s(literal 1/2 binary64)
(*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) z) x))
z
(*.f64 (/.f64 #s(literal 1 binary64) z) x)
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
x
(*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))
(sqrt.f64 z)
z
(*.f64 y #s(literal 1/2 binary64))
y
#s(literal 1/2 binary64)
Outputs
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (sqrt.f64 z)))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y (sqrt.f64 z))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (sqrt.f64 z)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64)))
(*.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))
x
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (sqrt.f64 z))))))
(+.f64 #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 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (sqrt.f64 z))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (/.f64 y x) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (sqrt.f64 z)))))
(/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)))
(*.f64 (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 z)))
(*.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 y (sqrt.f64 z)) x)
(*.f64 y (/.f64 (sqrt.f64 z) x))
#s(literal 1 binary64)
(/.f64 x (*.f64 y (sqrt.f64 z)))
(/.f64 (/.f64 x y) (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
y
(sqrt.f64 z)
z
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x z) z))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 z z)))
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 (*.f64 x z) z)
x
(*.f64 x z)
x
z
(/.f64 (*.f64 #s(literal 1/2 binary64) z) (/.f64 z x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 z z)))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) z)
#s(literal 1/2 binary64)
z
(/.f64 z x)
x
(*.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) z) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 z z)))
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) z) x))
x
z
(*.f64 (/.f64 #s(literal 1 binary64) z) x)
(*.f64 x (/.f64 #s(literal 1 binary64) z))
(/.f64 x z)
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
x
(*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 (sqrt.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)))
(sqrt.f64 z)
z
(*.f64 y #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) y)
y
#s(literal 1/2 binary64)

localize103.0ms (1.4%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 y #s(literal 1/2 binary64))
accuracy100.0%
(sqrt.f64 z)
✓accuracy99.7%
(*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))
accuracy100.0%
(/.f64 #s(literal 1 binary64) z)
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) z) x)))
✓accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) z) x)
✓accuracy78.7%
(*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) z) x))
✓accuracy100.0%
(/.f64 z x)
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) z)
✓accuracy78.2%
(/.f64 (*.f64 #s(literal 1/2 binary64) z) (/.f64 z x))
✓accuracy100.0%
(*.f64 x z)
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x z) z))
✓accuracy75.4%
(/.f64 (*.f64 x z) z)
accuracy99.7%
(*.f64 y (sqrt.f64 z))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (sqrt.f64 z))))
✓accuracy94.9%
(/.f64 x (*.f64 y (sqrt.f64 z)))
✓accuracy89.9%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (sqrt.f64 z)))))))
Results
67.0ms256×0valid
Compiler

Compiled 141 to 25 computations (82.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-mult: 19.0ms (53.7% of total)
ival-div: 12.0ms (33.9% of total)
ival-sqrt: 2.0ms (5.7% of total)
ival-add: 1.0ms (2.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series28.0ms (0.4%)

Counts
14 → 312
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (sqrt.f64 z)))))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (sqrt.f64 z))))>
#<alt (/.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x z) z))>
#<alt (/.f64 (*.f64 x z) z)>
#<alt (*.f64 x z)>
#<alt (/.f64 (*.f64 #s(literal 1/2 binary64) z) (/.f64 z x))>
#<alt (*.f64 #s(literal 1/2 binary64) z)>
#<alt (/.f64 z x)>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) z) x)))>
#<alt (*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) z) x))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) z) x)>
#<alt (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (sqrt.f64 z)))))))>
Outputs
#<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)))>
#<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)))>
#<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 (*.f64 y (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 (*.f64 y (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 (*.f64 y (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 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 y x) (sqrt.f64 z))>
#<alt (*.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)))>
#<alt (*.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)))>
#<alt (*.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)))>
#<alt (*.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)))>
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#<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)))))))>
Calls

93 calls:

TimeVariablePointExpression
5.0ms
y
@0
(* x (+ 1/2 (* 1/2 (/ 1 (/ x (* y (sqrt z)))))))
1.0ms
z
@-inf
(/ x (* y (sqrt z)))
0.0ms
x
@0
(/ x (* y (sqrt z)))
0.0ms
x
@-inf
(/ x (* y (sqrt z)))
0.0ms
y
@-inf
(/ x (* y (sqrt z)))

rewrite223.0ms (3.1%)

Algorithm
1×batch-egg-rewrite
Rules
455×log1p-expm1-u
270×associate-*r*
228×add-exp-log
228×expm1-log1p-u
227×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031337
1519237
27570237
Stop Event
1×node limit
Counts
14 → 492
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (sqrt.f64 z)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (sqrt.f64 z))))
(/.f64 x (*.f64 y (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x z) z))
(/.f64 (*.f64 x z) z)
(*.f64 x z)
(/.f64 (*.f64 #s(literal 1/2 binary64) z) (/.f64 z x))
(*.f64 #s(literal 1/2 binary64) z)
(/.f64 z x)
(*.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) z) x)))
(*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) z) x))
(*.f64 (/.f64 #s(literal 1 binary64) z) x)
(*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (sqrt.f64 z)))))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) (sqrt.f64 z)))) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 x y) (sqrt.f64 z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 x y) (sqrt.f64 z)) #s(literal 1/2 binary64)))
(/.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 (sqrt.f64 z) (neg.f64 y))))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y))
(/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) (sqrt.f64 z))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (/.f64 x y) (sqrt.f64 z))))
(/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 x y) (sqrt.f64 z)))) (sqrt.f64 (/.f64 (/.f64 x y) (sqrt.f64 z))))
(pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) (sqrt.f64 z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) (sqrt.f64 z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) (sqrt.f64 z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) (sqrt.f64 z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) (sqrt.f64 z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) (sqrt.f64 z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) (sqrt.f64 z)))))
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(/.f64 (/.f64 (*.f64 x z) (cbrt.f64 (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 z))
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 x z) (neg.f64 z)))
(neg.f64 (/.f64 (*.f64 z (neg.f64 x)) z))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)))
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (/.f64 z x) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
x
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(exp.f64 (-.f64 (log.f64 z) (log.f64 (/.f64 z x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x z))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 z x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) #s(literal 1 binary64)))
(/.f64 x z)
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 z (neg.f64 x)))
(/.f64 (neg.f64 x) (neg.f64 z))
(/.f64 (/.f64 x (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 z x)))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 z x))) (sqrt.f64 (/.f64 z x)))
(/.f64 (/.f64 x #s(literal 1 binary64)) z)
(/.f64 (/.f64 x (cbrt.f64 (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 z))
(/.f64 (*.f64 x #s(literal -1 binary64)) (neg.f64 z))
(pow.f64 (/.f64 z x) #s(literal -1 binary64))
(pow.f64 (/.f64 x z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x z))))
(cbrt.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x z)))
(log1p.f64 (expm1.f64 (/.f64 x z)))
(exp.f64 (log.f64 (/.f64 x z)))
(exp.f64 (*.f64 (log.f64 (/.f64 x z)) #s(literal 1 binary64)))
(exp.f64 (neg.f64 (log.f64 (/.f64 z x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 z (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 x y) (sqrt.f64 z))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 x y) (sqrt.f64 z))) #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 x y) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 x y) (sqrt.f64 z))) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 x y) (sqrt.f64 z))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 x y) (sqrt.f64 z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 x y) (sqrt.f64 z)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 x y) (sqrt.f64 z))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 x y) (sqrt.f64 z))))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 x y) (sqrt.f64 z)))))
(/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) (sqrt.f64 z)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) (sqrt.f64 z)) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x y) (sqrt.f64 z))))))
(/.f64 (*.f64 x (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) (sqrt.f64 z)) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) (sqrt.f64 z))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) (sqrt.f64 z)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) x) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) (sqrt.f64 z)) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x y) (sqrt.f64 z))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) (sqrt.f64 z)) #s(literal 2 binary64))) x) (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) (sqrt.f64 z))))
(pow.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.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 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.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 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 x y) (sqrt.f64 z))))
(fma.f64 x #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 x y) (sqrt.f64 z))))

simplify260.0ms (3.6%)

Algorithm
1×egg-herbie
Rules
659×associate-*l*
639×times-frac
523×fma-neg
404×associate-*r/
388×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
088718213
1202417884
2756717876
Stop Event
1×node limit
Counts
804 → 523
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y 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 -1/2 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 (/.f64 y 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 (/.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
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(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 x y) (sqrt.f64 z))) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 x y) (sqrt.f64 z))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 x y) (sqrt.f64 z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 x y) (sqrt.f64 z)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 x y) (sqrt.f64 z))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 x y) (sqrt.f64 z))))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 x y) (sqrt.f64 z)))))
(/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) (sqrt.f64 z)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) (sqrt.f64 z)) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x y) (sqrt.f64 z))))))
(/.f64 (*.f64 x (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) (sqrt.f64 z)) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) (sqrt.f64 z))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) (sqrt.f64 z)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) x) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) (sqrt.f64 z)) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x y) (sqrt.f64 z))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) (sqrt.f64 z)) #s(literal 2 binary64))) x) (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) (sqrt.f64 z))))
(pow.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.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 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.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 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 x y) (sqrt.f64 z))))
(fma.f64 x #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 x y) (sqrt.f64 z))))
Outputs
(*.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 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (sqrt.f64 z)))
(*.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 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (sqrt.f64 z)))
(*.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 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (sqrt.f64 z)))
(*.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 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (sqrt.f64 z)))
(*.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 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (sqrt.f64 z)))
(*.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 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (sqrt.f64 z)))
(*.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 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (sqrt.f64 z)))
(*.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 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (sqrt.f64 z)))
(*.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 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (sqrt.f64 z)))
(*.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 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (sqrt.f64 z)))
(*.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 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (sqrt.f64 z)))
(*.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 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (sqrt.f64 z)))
(*.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 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (sqrt.f64 z)))
(*.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 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (sqrt.f64 z)))
(*.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 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (sqrt.f64 z)))
(*.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 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (sqrt.f64 z)))
(*.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 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (sqrt.f64 z)))
(*.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 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (sqrt.f64 z)))
(*.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 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (sqrt.f64 z)))
(*.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 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (sqrt.f64 z)))
(*.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 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (sqrt.f64 z)))
(*.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 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (sqrt.f64 z)))
(*.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 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (sqrt.f64 z)))
(*.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 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (sqrt.f64 z)))
(*.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 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (sqrt.f64 z)))
(*.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 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (sqrt.f64 z)))
(*.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 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (sqrt.f64 z)))
(*.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 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (sqrt.f64 z)))
(*.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 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (sqrt.f64 z)))
(*.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 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (sqrt.f64 z)))
(*.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 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (sqrt.f64 z)))
(*.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 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (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 y (/.f64 (sqrt.f64 z) x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (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 y (/.f64 (sqrt.f64 z) x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (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 y (/.f64 (sqrt.f64 z) x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 y (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 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 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.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 y (/.f64 (sqrt.f64 z) x))
(*.f64 (/.f64 y 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 y (/.f64 (sqrt.f64 z) x))
(*.f64 (/.f64 y 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 y (/.f64 (sqrt.f64 z) x))
(*.f64 (/.f64 y 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 y (/.f64 (sqrt.f64 z) x))
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(*.f64 x (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))
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(*.f64 x (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))
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(fabs.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64))))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 x y) (sqrt.f64 z))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 x y) (sqrt.f64 z))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64)))

eval82.0ms (1.1%)

Compiler

Compiled 9026 to 2424 computations (73.1% saved)

prune111.0ms (1.5%)

Pruning

22 alts after pruning (14 fresh and 8 done)

PrunedKeptTotal
New6509659
Fresh055
Picked235
Done358
Total65522677
Accuracy
100.0%
Counts
677 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.0%
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
39.3%
(/.f64 (*.f64 (*.f64 x z) #s(literal 1/2 binary64)) z)
39.1%
(/.f64 (*.f64 #s(literal 1/2 binary64) z) (*.f64 (/.f64 #s(literal 1 binary64) x) z))
48.9%
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
39.3%
(*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 z (/.f64 #s(literal 1 binary64) x)))
39.2%
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) z) (/.f64 #s(literal 1 binary64) z))
52.9%
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 z (sqrt.f64 z)))
39.8%
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 x y))
✓90.6%
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (/.f64 x y)))
✓53.1%
(*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))
39.1%
(*.f64 z (/.f64 #s(literal 1/2 binary64) (/.f64 z x)))
89.8%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y))))
86.2%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 x y) (sqrt.f64 z)))))
✓85.7%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
50.2%
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) (sqrt.f64 z)))
✓39.4%
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x z) z))
39.3%
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x z))))
✓99.8%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
39.1%
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x))))
✓39.1%
(*.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) z) x)))
✓49.0%
(*.f64 #s(literal 1/2 binary64) x)
✓26.6%
(fabs.f64 (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 613 to 314 computations (48.8% saved)

regimes78.0ms (1.1%)

Counts
38 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 x z)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x z) z))
(*.f64 z (/.f64 #s(literal 1/2 binary64) (/.f64 z x)))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) z) (/.f64 z x))
(/.f64 (*.f64 (*.f64 x z) #s(literal 1/2 binary64)) z)
(*.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) z) x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x z))))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) z) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 z (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) z) (*.f64 (/.f64 #s(literal 1 binary64) x) z))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x))))
(fabs.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (sqrt.f64 z) (*.f64 y #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 (*.f64 y z) (sqrt.f64 z)))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 z (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 y (pow.f64 z #s(literal -1/2 binary64)))))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x 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 x y) (sqrt.f64 z)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y))))
(*.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 (+.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 x z))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (sqrt.f64 z)))))))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 z (+.f64 (/.f64 x (*.f64 y z)) (pow.f64 z #s(literal -1/2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.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 (*.f64 (-.f64 z (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 y #s(literal 1/2 binary64))) (-.f64 (sqrt.f64 z) (/.f64 x y)))
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 2 binary64))))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 y) x))
Outputs
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
Calls

7 calls:

12.0ms
z
11.0ms
x
11.0ms
(*.f64 y (sqrt.f64 z))
10.0ms
(sqrt.f64 z)
10.0ms
y
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)

regimes64.0ms (0.9%)

Counts
30 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 x z)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x z) z))
(*.f64 z (/.f64 #s(literal 1/2 binary64) (/.f64 z x)))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) z) (/.f64 z x))
(/.f64 (*.f64 (*.f64 x z) #s(literal 1/2 binary64)) z)
(*.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) z) x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x z))))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) z) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 z (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) z) (*.f64 (/.f64 #s(literal 1 binary64) x) z))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x))))
(fabs.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (sqrt.f64 z) (*.f64 y #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 (*.f64 y z) (sqrt.f64 z)))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 z (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 y (pow.f64 z #s(literal -1/2 binary64)))))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 z) (/.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x 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 x y) (sqrt.f64 z)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y))))
(*.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 (+.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 x z))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (sqrt.f64 z)))))))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 z (+.f64 (/.f64 x (*.f64 y z)) (pow.f64 z #s(literal -1/2 binary64)))))
Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
Calls

7 calls:

12.0ms
z
9.0ms
(+.f64 x (*.f64 y (sqrt.f64 z)))
9.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
8.0ms
(sqrt.f64 z)
8.0ms
x
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)

regimes27.0ms (0.4%)

Counts
16 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 x z)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x z) z))
(*.f64 z (/.f64 #s(literal 1/2 binary64) (/.f64 z x)))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) z) (/.f64 z x))
(/.f64 (*.f64 (*.f64 x z) #s(literal 1/2 binary64)) z)
(*.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) z) x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x z))))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) z) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 z (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) z) (*.f64 (/.f64 #s(literal 1 binary64) x) z))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x))))
(fabs.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))
Outputs
(*.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)
Calls

4 calls:

11.0ms
(sqrt.f64 z)
5.0ms
z
5.0ms
x
5.0ms
y
Results
AccuracySegmentsBranch
79.7%3x
76.4%3y
60.0%2z
60.0%2(sqrt.f64 z)
Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes18.0ms (0.3%)

Accuracy

Total -22.9b remaining (-70.2%)

Threshold costs -22.9b (-70.2%)

Counts
15 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 x z)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x z) z))
(*.f64 z (/.f64 #s(literal 1/2 binary64) (/.f64 z x)))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) z) (/.f64 z x))
(/.f64 (*.f64 (*.f64 x z) #s(literal 1/2 binary64)) z)
(*.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) z) x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x z))))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) z) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 z (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) z) (*.f64 (/.f64 #s(literal 1 binary64) x) z))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x))))
(fabs.f64 (*.f64 #s(literal 1/2 binary64) x))
Outputs
(*.f64 #s(literal 1/2 binary64) x)
Calls

3 calls:

8.0ms
x
5.0ms
y
5.0ms
z
Results
AccuracySegmentsBranch
49.0%1z
49.0%1y
49.0%1x
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch33.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
14.0ms
59202345.78111452
57326417193481.68
16.0ms
-2.9114912182999223e-144
-1.3998477545108267e-145
Results
22.0ms256×0valid
Compiler

Compiled 291 to 239 computations (17.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 8.0ms (59.1% of total)
ival-div: 2.0ms (14.8% of total)
ival-sqrt: 2.0ms (14.8% of total)
ival-add: 1.0ms (7.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify3.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
030134
142134
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.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))))
(if (<=.f64 x #s(literal -2240669956266631/878694100496718043517683302282418331810487718418343092402491322775749527474899974671687634004666183037093927858109549828751614463963730408009475621262727315456 binary64)) (*.f64 #s(literal 1/2 binary64) x) (if (<=.f64 x #s(literal 105000000 binary64)) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) x)
Outputs
(*.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))))
(if (<=.f64 x #s(literal -2240669956266631/878694100496718043517683302282418331810487718418343092402491322775749527474899974671687634004666183037093927858109549828751614463963730408009475621262727315456 binary64)) (*.f64 #s(literal 1/2 binary64) x) (if (<=.f64 x #s(literal 105000000 binary64)) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) x)))
(if (or (<=.f64 x #s(literal -2240669956266631/878694100496718043517683302282418331810487718418343092402491322775749527474899974671687634004666183037093927858109549828751614463963730408009475621262727315456 binary64)) (not (<=.f64 x #s(literal 105000000 binary64)))) (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal 1/2 binary64) x)

soundness528.0ms (7.3%)

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 123 to 60 computations (51.2% saved)

preprocess36.0ms (0.5%)

Compiler

Compiled 104 to 60 computations (42.3% saved)

end0.0ms (0%)

Profiling

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