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

Time bar (total: 8.0s)

analyze50.0ms (0.6%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
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 12 to 12 computations (0% saved)

sample1.9s (24.3%)

Results
1.2s8256×0valid
345.0ms1977×0invalid
Precisions
Click to see histograms. Total time spent on operations: 694.0ms
ival-add: 233.0ms (33.6% of total)
ival-sqrt: 195.0ms (28.1% of total)
ival-mult: 126.0ms (18.2% of total)
ival-div: 119.0ms (17.2% of total)
ival-true: 9.0ms (1.3% of total)
...in/eval/compile.rkt:70:19: 6.0ms (0.9% of total)
ival-assert: 6.0ms (0.9% of total)
Bogosity

preprocess202.0ms (2.5%)

Algorithm
egg-herbie
Rules
969×fmm-def
453×fma-define
216×unsub-neg
177×distribute-lft-neg-in
156×cancel-sign-sub-inv
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044376
1128332
2369332
3781332
41341332
52232332
62748332
73238332
83552332
93703332
103784332
113834332
123834332
Stop Event
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))

explain172.0ms (2.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
00-0-#s(literal 1 binary64)
00-0-z
00-0-(sqrt.f64 z)
00-0-(+.f64 x (*.f64 y (sqrt.f64 z)))
00-0-(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
00-0-y
00-0-#s(literal 2 binary64)
00-0-(*.f64 y (sqrt.f64 z))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Results
49.0ms512×0valid
Compiler

Compiled 90 to 44 computations (51.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 8.0ms (36.2% of total)
ival-sqrt: 6.0ms (27.2% of total)
ival-div: 4.0ms (18.1% of total)
ival-add: 3.0ms (13.6% of total)
ival-true: 1.0ms (4.5% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 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)

simplify13.0ms (0.2%)

Algorithm
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
*-commutative
fma-define
distribute-rgt-in
associate-*r*
distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018159
127159
243159
354159
Stop Event
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

localize50.0ms (0.6%)

Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
accuracy100.0%
(sqrt.f64 z)
accuracy99.8%
(fma.f64 y (sqrt.f64 z) x)
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
accuracy100.0%
(sqrt.f64 z)
accuracy100.0%
(+.f64 x (*.f64 y (sqrt.f64 z)))
accuracy99.7%
(*.f64 y (sqrt.f64 z))
Results
38.0ms256×0valid
Compiler

Compiled 44 to 12 computations (72.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 5.0ms (45.3% of total)
ival-fma: 2.0ms (18.1% of total)
ival-sqrt: 2.0ms (18.1% of total)
ival-add: 1.0ms (9.1% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series17.0ms (0.2%)

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
3.0ms
x
@0
(* 1/2 (+ (* y (sqrt z)) x))
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))

rewrite312.0ms (3.9%)

Algorithm
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
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)))

simplify205.0ms (2.6%)

Algorithm
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
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))))
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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)))))
(*.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)
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(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
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(*.f64 #s(literal -1 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))))
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(*.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)))))
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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 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))))))
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(*.f64 #s(literal 1/2 binary64) x)
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(*.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))))
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(*.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)))
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(*.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)))))))
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(*.f64 #s(literal 1/2 binary64) x)
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x
(+.f64 x (*.f64 y (sqrt.f64 z)))
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(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 y (sqrt.f64 z) x))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 y (sqrt.f64 z) x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 y (sqrt.f64 z) x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 y (sqrt.f64 z) x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 y (sqrt.f64 z) x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64))))) (-.f64 x (*.f64 y (sqrt.f64 z))))
(/.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (-.f64 x (*.f64 y (sqrt.f64 z))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 y (sqrt.f64 z) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)))))
(log.f64 (*.f64 (exp.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) x))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) #s(literal 1 binary64)))
(fma.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) (*.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))) (cbrt.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))))) (cbrt.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))))) (cbrt.f64 (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 y (sqrt.f64 z)))) (sqrt.f64 (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 #s(literal 0 binary64) (fma.f64 y (sqrt.f64 z) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x))) (cbrt.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 y (sqrt.f64 z)))) (/.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))
(*.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)) (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)))
(*.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (sqrt.f64 z))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 z (pow.f64 y #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y (sqrt.f64 z)) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (-.f64 x (*.f64 y (sqrt.f64 z))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64))))) (neg.f64 (-.f64 x (*.f64 y (sqrt.f64 z)))))
(/.f64 (-.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y (sqrt.f64 z)) x))
(pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (sqrt.f64 z) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (sqrt.f64 z) x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) y) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 z)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 z)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 z))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 (sqrt.f64 z)) y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 z))))))
(cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x)))
(log1p.f64 (expm1.f64 (fma.f64 y (sqrt.f64 z) x)))
(exp.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(neg.f64 (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(neg.f64 (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(neg.f64 (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(neg.f64 (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(sqrt.f64 z)
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)))))
(*.f64 x (*.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)))))
(*.f64 x (*.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)))))
(*.f64 x (*.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)))))
(*.f64 x (*.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)))))
(*.f64 x (*.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (sqrt.f64 z) x))))
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(log.f64 (*.f64 (pow.f64 (exp.f64 (sqrt.f64 z)) y) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(fma.f64 y (sqrt.f64 z) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 z)))) (exp.f64 x)))
(fma.f64 y (sqrt.f64 z) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 z)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(fma.f64 y (sqrt.f64 z) x)
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 z))))))
(fma.f64 y (sqrt.f64 z) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 (sqrt.f64 z)) y)))
(fma.f64 y (sqrt.f64 z) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 z))))))
(fma.f64 y (sqrt.f64 z) x)
(cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 3 binary64)))
(fma.f64 y (sqrt.f64 z) x)
(expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x)))
(fma.f64 y (sqrt.f64 z) x)
(log1p.f64 (expm1.f64 (fma.f64 y (sqrt.f64 z) x)))
(fma.f64 y (sqrt.f64 z) x)
(exp.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x)))
(fma.f64 y (sqrt.f64 z) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 1 binary64)))
(fma.f64 y (sqrt.f64 z) x)

eval30.0ms (0.4%)

Compiler

Compiled 3372 to 756 computations (77.6% saved)

prune43.0ms (0.5%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New23512247
Fresh000
Picked112
Done000
Total23613249
Accuracy
100.0%
Counts
249 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.3%
(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))))
98.0%
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) #s(literal 3 binary64))
50.1%
(*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))
86.9%
(*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y))))
86.5%
(*.f64 x (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) #s(literal 1/2 binary64)))
86.5%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
99.6%
(*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) x))
51.9%
(*.f64 #s(literal 1/2 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)))))))
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))))
82.1%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (cbrt.f64 (pow.f64 z #s(literal 3/2 binary64))))))
84.9%
(*.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))))
51.1%
(*.f64 #s(literal 1/2 binary64) x)
Compiler

Compiled 351 to 244 computations (30.5% saved)

simplify171.0ms (2.1%)

Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1/2 binary64) x)
cost-diff0
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
cost-diff0
(fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) #s(literal 1/2 binary64))
cost-diff256
(*.f64 x (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) #s(literal 1/2 binary64)))
cost-diff0
(/.f64 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 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y)))
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
1268×associate-/r/
969×fma-define
648×distribute-lft-in
642×distribute-rgt-out
493×*-commutative
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
037636
181572
2198556
3409550
4721538
51253538
62620538
73238538
83764538
93791538
103791538
115992538
127520538
Stop Event
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 y (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y))))
y
(*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x 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 x (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) #s(literal 1/2 binary64)))
x
(fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) #s(literal 1/2 binary64))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
y
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(sqrt.f64 z)
z
Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (pow.f64 z #s(literal 1/2 binary64)) x))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
#s(literal 1/2 binary64)
(+.f64 x (*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(fma.f64 y (pow.f64 z #s(literal 1/2 binary64)) x)
(fma.f64 y (sqrt.f64 z) x)
x
(*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 y (pow.f64 z #s(literal 1/2 binary64)))
(*.f64 y (sqrt.f64 z))
y
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 z #s(literal 1/2 binary64))
(sqrt.f64 z)
(pow.f64 z #s(literal 1/4 binary64))
z
#s(literal 1/4 binary64)
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(*.f64 y (*.f64 #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))
y
(*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x 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))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) x))
(*.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 y (*.f64 z (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 y (*.f64 z (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 x (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (pow.f64 z #s(literal 1/2 binary64)) x))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
x
(fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
y
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(sqrt.f64 z)
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 z #s(literal 1/2 binary64))
z

localize443.0ms (5.5%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sqrt.f64 z)
accuracy99.7%
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
accuracy99.1%
(fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) #s(literal 1/2 binary64))
accuracy87.3%
(*.f64 x (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) #s(literal 1/2 binary64)))
accuracy99.8%
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
accuracy99.6%
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
accuracy98.9%
(+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))
accuracy85.0%
(*.f64 z (+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y)))
accuracy100.0%
(sqrt.f64 z)
accuracy100.0%
(+.f64 (sqrt.f64 z) (/.f64 x y))
accuracy86.9%
(*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y))))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) x)
accuracy100.0%
(pow.f64 z #s(literal 1/4 binary64))
accuracy100.0%
(+.f64 x (*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))))
accuracy99.7%
(*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))
accuracy99.2%
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))
Results
155.0ms256×0valid
Compiler

Compiled 172 to 31 computations (82% saved)

Precisions
Click to see histograms. Total time spent on operations: 123.0ms
ival-div: 87.0ms (70.8% of total)
ival-mult: 15.0ms (12.2% of total)
ival-pow: 10.0ms (8.1% of total)
ival-add: 3.0ms (2.4% of total)
ival-sqrt: 3.0ms (2.4% of total)
ival-fma: 2.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

series153.0ms (1.9%)

Counts
20 → 375
Calls
Call 1
Inputs
#<alt (*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))>
#<alt (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))))>
#<alt (+.f64 x (*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<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 (*.f64 x (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) #s(literal 1/2 binary64)))>
#<alt (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) #s(literal 1/2 binary64))>
#<alt (*.f64 y (/.f64 #s(literal 1/2 binary64) x))>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (pow.f64 z #s(literal 1/4 binary64))>
#<alt (*.f64 y (*.f64 #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 (+.f64 x (*.f64 y (sqrt.f64 z))) z)>
#<alt (/.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) z)>
#<alt (/.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) z)>
#<alt (/.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) z)>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (+.f64 (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))>
#<alt (+.f64 (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))>
#<alt (+.f64 (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z))>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))>
#<alt (/.f64 x z)>
#<alt (*.f64 x (+.f64 (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (+.f64 (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (+.f64 (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (/.f64 x z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (/.f64 #s(literal 1 binary64) z))))>
Calls

129 calls:

TimeVariablePointExpression
75.0ms
z
@0
(pow z 1/4)
14.0ms
z
@-inf
(pow z 1/4)
6.0ms
z
@inf
(pow z 1/4)
6.0ms
y
@0
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
6.0ms
y
@0
(* x (+ (* (* y (/ 1/2 x)) (sqrt z)) 1/2))

rewrite516.0ms (6.4%)

Algorithm
batch-egg-rewrite
Rules
267×associate-*r*
251×log1p-expm1-u
251×expm1-log1p-u
245×add-cube-cbrt
244×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036464
1572438
Stop Event
node limit
Counts
20 → 512
Calls
Call 1
Inputs
(*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)))))
(+.f64 x (*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y)))
(+.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)
(*.f64 x (fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z) #s(literal 1/2 binary64))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
(pow.f64 z #s(literal 1/4 binary64))
(*.f64 y (*.f64 #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 (*.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 (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 #s(literal 1/2 binary64) (sqrt.f64 z))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) #s(literal 1 binary64)))
(+.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (*.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 #s(literal 1/2 binary64) (sqrt.f64 z))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (*.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (*.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))))
(/.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 (pow.f64 (*.f64 #s(literal 1/2 binary64) (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 #s(literal 1/2 binary64) (sqrt.f64 z))))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x) (*.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))
(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 #s(literal 1/2 binary64) (sqrt.f64 z))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 y (sqrt.f64 z)))) (/.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))
(*.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)) (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)))
(*.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x))) (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (sqrt.f64 z))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 z (pow.f64 y #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 x 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) (*.f64 y (sqrt.f64 z)) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y (sqrt.f64 z)))
(fma.f64 (cbrt.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (*.f64 y (sqrt.f64 z))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 y (sqrt.f64 z)))
(fma.f64 (sqrt.f64 (*.f64 y (sqrt.f64 z))) (sqrt.f64 (*.f64 y (sqrt.f64 z))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (sqrt.f64 z)))
(-.f64 (exp.f64 (log1p.f64 (*.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 #s(literal 1/2 binary64)) x))
(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 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
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(cbrt.f64 (pow.f64 (*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))))
(log1p.f64 (expm1.f64 (*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))))
(exp.f64 (log.f64 (*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))) #s(literal 1 binary64)))
(fma.f64 z (/.f64 y (sqrt.f64 z)) (/.f64 z (/.f64 z x)))
(fma.f64 (/.f64 y (sqrt.f64 z)) z (/.f64 z (/.f64 z x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))) (/.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))))
(*.f64 #s(literal 1 binary64) (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))
(*.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) (pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))
(*.f64 (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))
(*.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))))))
(*.f64 (-.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))))) (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)) (-.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))))))
(/.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)))))
(/.f64 (-.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))))
(/.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64))) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))))
(pow.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))))
(cbrt.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))
(log1p.f64 (expm1.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))
(exp.f64 (log.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 1 binary64)))
(fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))
(fma.f64 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 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x z)) (/.f64 y (sqrt.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 y (sqrt.f64 z))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y (sqrt.f64 z))) (/.f64 x z))
(fma.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)) (/.f64 y (sqrt.f64 z)))
(fma.f64 (sqrt.f64 (/.f64 y (sqrt.f64 z))) (sqrt.f64 (/.f64 y (sqrt.f64 z))) (/.f64 x z))

simplify516.0ms (6.4%)

Algorithm
egg-herbie
Rules
574×fmm-def
425×*-commutative
340×fma-define
255×prod-exp
221×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0115129155
1256727223
2728127197
Stop Event
node limit
Counts
887 → 773
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) (sqrt.f64 z))
(*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y z)))))
(*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y z)))))
(*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y z)))))
(*.f64 #s(literal -1/2 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 -1/2 binary64) (/.f64 x (*.f64 y z))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 y z))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 y z))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))
(+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x 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 (*.f64 (*.f64 y #s(literal 1/2 binary64)) (+.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 (*.f64 y #s(literal 1/2 binary64)) (-.f64 z (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (-.f64 (sqrt.f64 z) (/.f64 x y)))
(pow.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 (sqrt.f64 z) (/.f64 x y))) #s(literal 1/2 binary64)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y)))))))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y))))))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y))))))
(exp.f64 (log.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y))))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y))))) #s(literal 1 binary64)))
(+.f64 (*.f64 z (/.f64 y (sqrt.f64 z))) (/.f64 z (/.f64 z x)))
(+.f64 (/.f64 z (/.f64 z x)) (*.f64 z (/.f64 y (sqrt.f64 z))))
(+.f64 (*.f64 (*.f64 z (/.f64 y (sqrt.f64 z))) #s(literal 1 binary64)) (*.f64 (/.f64 z (/.f64 z x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 y (sqrt.f64 z))) #s(literal 3 binary64)) (pow.f64 (/.f64 z (/.f64 z x)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 z (/.f64 y (sqrt.f64 z))) (*.f64 z (/.f64 y (sqrt.f64 z)))) (-.f64 (*.f64 (/.f64 z (/.f64 z x)) (/.f64 z (/.f64 z x))) (*.f64 (*.f64 z (/.f64 y (sqrt.f64 z))) (/.f64 z (/.f64 z x))))))
(/.f64 (-.f64 (*.f64 (*.f64 z (/.f64 y (sqrt.f64 z))) (*.f64 z (/.f64 y (sqrt.f64 z)))) (*.f64 (/.f64 z (/.f64 z x)) (/.f64 z (/.f64 z x)))) (-.f64 (*.f64 z (/.f64 y (sqrt.f64 z))) (/.f64 z (/.f64 z x))))
(/.f64 (*.f64 z (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))))))
(/.f64 (*.f64 z (-.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64))) z) (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) z) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)))
(pow.f64 (*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))))
(cbrt.f64 (pow.f64 (*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))))
(log1p.f64 (expm1.f64 (*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))))
(exp.f64 (log.f64 (*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))) #s(literal 1 binary64)))
(fma.f64 z (/.f64 y (sqrt.f64 z)) (/.f64 z (/.f64 z x)))
(fma.f64 (/.f64 y (sqrt.f64 z)) z (/.f64 z (/.f64 z x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))) (/.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))))
(*.f64 #s(literal 1 binary64) (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))
(*.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) (pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))
(*.f64 (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))
(*.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))))))
(*.f64 (-.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))))) (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)) (-.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))))))
(/.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)))))
(/.f64 (-.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))))
(/.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64))) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))))
(pow.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))))
(cbrt.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))
(log1p.f64 (expm1.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))
(exp.f64 (log.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 1 binary64)))
(fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))
(fma.f64 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 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x z)) (/.f64 y (sqrt.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 y (sqrt.f64 z))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y (sqrt.f64 z))) (/.f64 x z))
(fma.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)) (/.f64 y (sqrt.f64 z)))
(fma.f64 (sqrt.f64 (/.f64 y (sqrt.f64 z))) (sqrt.f64 (/.f64 y (sqrt.f64 z))) (/.f64 x z))
Outputs
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(sqrt.f64 z)
(sqrt.f64 z)
(sqrt.f64 z)
(sqrt.f64 z)
(sqrt.f64 z)
(sqrt.f64 z)
(sqrt.f64 z)
(sqrt.f64 z)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 z)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 z)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 z)
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 z)
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 (*.f64 y (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 (fma.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 x (*.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
(*.f64 x (fma.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 x (*.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))
(*.f64 x (fma.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 x (*.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal -1/2 binary64)))
(*.f64 x (neg.f64 (*.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal -1/2 binary64)))
(*.f64 x (neg.f64 (*.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal -1/2 binary64)))
(*.f64 x (neg.f64 (*.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) x)
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))
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(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) z) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)))
(*.f64 (-.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (/.f64 z (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))))
(pow.f64 (*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 1 binary64))
(*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))
(fma.f64 z (*.f64 y (pow.f64 z #s(literal -1/2 binary64))) x)
(pow.f64 (cbrt.f64 (*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))) #s(literal 3 binary64))
(*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))
(fma.f64 z (*.f64 y (pow.f64 z #s(literal -1/2 binary64))) x)
(pow.f64 (pow.f64 (*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))
(fma.f64 z (*.f64 y (pow.f64 z #s(literal -1/2 binary64))) x)
(pow.f64 (sqrt.f64 (*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))) #s(literal 2 binary64))
(*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))
(fma.f64 z (*.f64 y (pow.f64 z #s(literal -1/2 binary64))) x)
(sqrt.f64 (pow.f64 (*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 z (*.f64 y (pow.f64 z #s(literal -1/2 binary64))) x))
(log.f64 (pow.f64 (exp.f64 z) (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))
(*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))
(fma.f64 z (*.f64 y (pow.f64 z #s(literal -1/2 binary64))) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))))
(*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))
(fma.f64 z (*.f64 y (pow.f64 z #s(literal -1/2 binary64))) x)
(cbrt.f64 (pow.f64 (*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 3 binary64)))
(*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))
(fma.f64 z (*.f64 y (pow.f64 z #s(literal -1/2 binary64))) x)
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)) #s(literal 3 binary64))))
(*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))
(fma.f64 z (*.f64 y (pow.f64 z #s(literal -1/2 binary64))) x)
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))
(fma.f64 z (*.f64 y (pow.f64 z #s(literal -1/2 binary64))) x)
(expm1.f64 (log1p.f64 (*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))))
(expm1.f64 (log1p.f64 (fma.f64 z (*.f64 y (pow.f64 z #s(literal -1/2 binary64))) x)))
(log1p.f64 (expm1.f64 (*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))))
(*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))
(fma.f64 z (*.f64 y (pow.f64 z #s(literal -1/2 binary64))) x)
(exp.f64 (log.f64 (*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))))
(*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))
(fma.f64 z (*.f64 y (pow.f64 z #s(literal -1/2 binary64))) x)
(exp.f64 (*.f64 (log.f64 (*.f64 z (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))) #s(literal 1 binary64)))
(*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))
(fma.f64 z (*.f64 y (pow.f64 z #s(literal -1/2 binary64))) x)
(fma.f64 z (/.f64 y (sqrt.f64 z)) (/.f64 z (/.f64 z x)))
(fma.f64 z (/.f64 y (sqrt.f64 z)) x)
(fma.f64 (/.f64 y (sqrt.f64 z)) z (/.f64 z (/.f64 z x)))
(fma.f64 z (/.f64 y (sqrt.f64 z)) (/.f64 z (/.f64 z x)))
(fma.f64 z (/.f64 y (sqrt.f64 z)) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))
(-.f64 (/.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))) (/.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))))
(/.f64 (-.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)))
(*.f64 #s(literal 1 binary64) (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)))
(fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))
(*.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)) #s(literal 1 binary64))
(fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))
(*.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) (pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 2 binary64)))
(fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))
(fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))
(*.f64 (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))) (sqrt.f64 (fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))))
(fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))
(*.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))))))
(*.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 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 y (sqrt.f64 z)) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))))
(/.f64 (-.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z))))) (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64)))))
(*.f64 (+.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 (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64))) (*.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))))
(/.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 (/.f64 y (sqrt.f64 z)) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)))))
(/.f64 (-.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (-.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))))))
(/.f64 (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)))
(fabs.f64 (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 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x z)) (/.f64 y (sqrt.f64 z)))
(+.f64 (/.f64 x z) (/.f64 y (sqrt.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 y (sqrt.f64 z))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y (sqrt.f64 z))) (/.f64 x z))
(+.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)))

eval145.0ms (1.8%)

Compiler

Compiled 13540 to 3105 computations (77.1% saved)

prune123.0ms (1.5%)

Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New8269835
Fresh617
Picked325
Done011
Total83513848
Accuracy
100.0%
Counts
848 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.0%
(/.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)))
50.1%
(*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))
38.2%
(*.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
86.9%
(*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y))))
79.7%
(*.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y)))))
36.8%
(*.f64 x (*.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))
82.2%
(*.f64 x (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)))))
99.6%
(*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) x))
99.8%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
41.1%
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 x z)))
84.9%
(*.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))))
45.5%
(*.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 y (pow.f64 z #s(literal -1/2 binary64)))))
51.1%
(*.f64 #s(literal 1/2 binary64) x)
Compiler

Compiled 320 to 216 computations (32.5% saved)

simplify172.0ms (2.2%)

Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (sqrt.f64 z) x)
cost-diff0
(+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))
cost-diff256
(*.f64 x (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y)))
cost-diff256
(*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))))
cost-diff0
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
cost-diff0
(sqrt.f64 z)
cost-diff0
(*.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
cost-diff256
(*.f64 x (*.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))
cost-diff0
(sqrt.f64 z)
cost-diff0
(*.f64 y (sqrt.f64 z))
cost-diff0
(*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))
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
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) y)
cost-diff0
(pow.f64 z #s(literal 1/4 binary64))
cost-diff6656
(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) x)
cost-diff6656
(*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) x))
Rules
1257×associate-/r/
1078×fma-define
878×cube-prod
511×times-frac
435×associate-/l/
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
034557
175557
2200510
3466462
41027458
52262458
63574458
74212458
84766458
94945458
105176458
115514458
127274458
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) x))
#s(literal 1/2 binary64)
(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) x)
(pow.f64 z #s(literal 1/4 binary64))
z
#s(literal 1/4 binary64)
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) y)
y
x
(*.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
(*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))
(*.f64 y (sqrt.f64 z))
y
(sqrt.f64 z)
z
#s(literal 1/2 binary64)
(*.f64 x (*.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))
x
(*.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(sqrt.f64 z)
z
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
y
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(*.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y)))))
y
(*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))))
#s(literal 1/2 binary64)
(*.f64 x (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y)))
x
(+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))
(/.f64 (sqrt.f64 z) x)
(sqrt.f64 z)
z
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
Outputs
(*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) x))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 z #s(literal 1/2 binary64)) y x))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
#s(literal 1/2 binary64)
(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) x)
(fma.f64 (pow.f64 z #s(literal 1/2 binary64)) y x)
(fma.f64 y (sqrt.f64 z) x)
(pow.f64 z #s(literal 1/4 binary64))
z
#s(literal 1/4 binary64)
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) y)
y
x
(*.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 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(*.f64 z (/.f64 x z))
x
z
(/.f64 x z)
x
(*.f64 (*.f64 y (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)))
(*.f64 (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (sqrt.f64 z))
y
(sqrt.f64 z)
z
#s(literal 1/2 binary64)
(*.f64 x (*.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) y))
x
(*.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (/.f64 (*.f64 #s(literal 1/2 binary64) y) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 z) x)))
(*.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) x)))
(sqrt.f64 z)
z
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
y
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(*.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) x))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 z #s(literal 1/2 binary64)) y x))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
y
(*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 (sqrt.f64 z) x) (/.f64 x y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y)))
#s(literal 1/2 binary64)
(*.f64 x (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 x (/.f64 (sqrt.f64 z) x) (/.f64 x y))
(fma.f64 (sqrt.f64 z) #s(literal 1 binary64) (/.f64 x y))
(+.f64 (sqrt.f64 z) (/.f64 x y))
x
(+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))
(/.f64 (sqrt.f64 z) x)
(sqrt.f64 z)
z
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)

localize124.0ms (1.6%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))
accuracy99.7%
(/.f64 (sqrt.f64 z) x)
accuracy91.8%
(*.f64 x (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y)))
accuracy86.9%
(*.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y)))))
accuracy100.0%
(sqrt.f64 z)
accuracy99.7%
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
accuracy97.2%
(*.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
accuracy78.0%
(*.f64 x (*.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))
accuracy100.0%
(*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))
accuracy100.0%
(sqrt.f64 z)
accuracy99.7%
(*.f64 y (sqrt.f64 z))
accuracy100.0%
(/.f64 x z)
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 x z)))
accuracy77.1%
(*.f64 z (/.f64 x z))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) x))
accuracy100.0%
(pow.f64 z #s(literal 1/4 binary64))
accuracy99.8%
(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) x)
accuracy99.6%
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) y)
Results
82.0ms256×0valid
Compiler

Compiled 160 to 28 computations (82.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-mult: 20.0ms (45.4% of total)
ival-pow: 11.0ms (25% of total)
ival-div: 7.0ms (15.9% of total)
ival-fma: 3.0ms (6.8% of total)
ival-sqrt: 2.0ms (4.5% of total)
ival-add: 1.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

series86.0ms (1.1%)

Counts
13 → 408
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) x))>
#<alt (fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) x)>
#<alt (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y)>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 x z)))>
#<alt (*.f64 z (/.f64 x z))>
#<alt (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))>
#<alt (*.f64 x (*.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))>
#<alt (*.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 x (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 (sqrt.f64 z) x)>
#<alt (*.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y)))))>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))>
#<alt (*.f64 #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 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt x>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.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))))>
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#<alt (*.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))))>
#<alt (*.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))))>
#<alt (*.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))))>
#<alt (*.f64 x (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y)))>
#<alt (sqrt.f64 z)>
#<alt (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x (*.f64 y 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 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))))))>
#<alt (*.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))))))>
#<alt (*.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))))))>
#<alt (/.f64 x y)>
#<alt (/.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) y)>
#<alt (/.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) y)>
#<alt (/.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) y)>
#<alt (sqrt.f64 z)>
#<alt (+.f64 (sqrt.f64 z) (/.f64 x y))>
#<alt (+.f64 (sqrt.f64 z) (/.f64 x y))>
#<alt (+.f64 (sqrt.f64 z) (/.f64 x y))>
#<alt (sqrt.f64 z)>
#<alt (+.f64 (sqrt.f64 z) (/.f64 x y))>
#<alt (+.f64 (sqrt.f64 z) (/.f64 x y))>
#<alt (+.f64 (sqrt.f64 z) (/.f64 x y))>
#<alt (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y))>
#<alt (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y))>
#<alt (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y))>
#<alt (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))>
#<alt (*.f64 z (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (*.f64 y z))))>
#<alt (*.f64 z (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (*.f64 y z))))>
#<alt (*.f64 z (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (*.f64 y z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (*.f64 y z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (*.f64 y z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (*.f64 y z)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))>
#<alt (/.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)) x)>
#<alt (/.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)) x)>
#<alt (/.f64 (+.f64 (sqrt.f64 z) (/.f64 x y)) x)>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y))>
#<alt (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y))>
#<alt (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y))>
#<alt (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y))>
#<alt (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) y)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) y)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) y)>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))>
#<alt (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y))>
#<alt (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y))>
#<alt (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))>
#<alt (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y))>
#<alt (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y))>
#<alt (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) (sqrt.f64 z)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))>
#<alt (*.f64 #s(literal 1/2 binary64) 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 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) 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)))))))>
Calls

102 calls:

TimeVariablePointExpression
45.0ms
y
@0
(* (pow z 1/4) y)
7.0ms
y
@-inf
(* 1/2 (* x (+ (/ (sqrt z) x) (/ 1 y))))
1.0ms
z
@0
(* 1/2 (* x (+ (/ (sqrt z) x) (/ 1 y))))
1.0ms
z
@0
(* y (* 1/2 (* x (+ (/ (sqrt z) x) (/ 1 y)))))
1.0ms
z
@-inf
(* 1/2 (* x (+ (/ (sqrt z) x) (/ 1 y))))

rewrite247.0ms (3.1%)

Algorithm
batch-egg-rewrite
Rules
480×log1p-expm1-u
316×associate-*r*
239×expm1-log1p-u
236×add-cube-cbrt
235×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034442
1538405
27568405
Stop Event
node limit
Counts
13 → 295
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) x))
(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) x)
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) y)
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 x z)))
(*.f64 z (/.f64 x z))
(*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))
(*.f64 x (*.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))
(*.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))))
(*.f64 x (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))
(/.f64 (sqrt.f64 z) x)
(*.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y)))))
Outputs
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))) (*.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))
(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)))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(+.f64 (*.f64 y (sqrt.f64 z)) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x))) #s(literal 1 binary64))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (sqrt.f64 z) x)))
(*.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)) (sqrt.f64 (fma.f64 y (sqrt.f64 z) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 y (sqrt.f64 z)) x))))
(/.f64 (-.f64 (*.f64 z (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 y (sqrt.f64 z)) x))
(pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1 binary64))
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(log1p.f64 (expm1.f64 (fma.f64 x (/.f64 (sqrt.f64 z) x) (/.f64 x y))))
(exp.f64 (log.f64 (fma.f64 x (/.f64 (sqrt.f64 z) x) (/.f64 x y))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (/.f64 (sqrt.f64 z) x) (/.f64 x y))) #s(literal 1 binary64)))
(fma.f64 x (/.f64 (sqrt.f64 z) x) (/.f64 x y))
(fma.f64 (/.f64 (sqrt.f64 z) x) x (/.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 z (pow.f64 x #s(literal 2 binary64))) (-.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))) (/.f64 (pow.f64 y #s(literal -2 binary64)) (-.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (fma.f64 y (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (+.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 (/.f64 (sqrt.f64 z) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 z (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 (sqrt.f64 z) (*.f64 y x))))))
(*.f64 (-.f64 (/.f64 z (pow.f64 x #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))))
(/.f64 (fma.f64 y (sqrt.f64 z) x) (*.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) (fma.f64 y (sqrt.f64 z) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 z (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 (sqrt.f64 z) (*.f64 y x)))) (+.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 (/.f64 (sqrt.f64 z) x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y)) (-.f64 (/.f64 z (pow.f64 x #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 (/.f64 (sqrt.f64 z) x) #s(literal 3 binary64))) (+.f64 (/.f64 z (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 (sqrt.f64 z) (*.f64 y x)))))
(/.f64 (+.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 (/.f64 (sqrt.f64 z) x) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal -2 binary64)) (-.f64 (/.f64 z (pow.f64 x #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) (*.f64 y x)))))
(/.f64 (-.f64 (/.f64 z (pow.f64 x #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64))) (-.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (+.f64 (*.f64 (sqrt.f64 z) (neg.f64 y)) (*.f64 x #s(literal -1 binary64))) (*.f64 x (neg.f64 y)))
(/.f64 (+.f64 y (*.f64 (/.f64 x (sqrt.f64 z)) #s(literal 1 binary64))) (*.f64 (/.f64 x (sqrt.f64 z)) y))
(/.f64 (+.f64 (neg.f64 y) (*.f64 (/.f64 x (sqrt.f64 z)) #s(literal -1 binary64))) (*.f64 (/.f64 x (sqrt.f64 z)) (neg.f64 y)))
(/.f64 (+.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) y))
(/.f64 (+.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 y)) (*.f64 (neg.f64 x) #s(literal -1 binary64))) (*.f64 (neg.f64 x) (neg.f64 y)))
(/.f64 (+.f64 (/.f64 x (sqrt.f64 z)) y) (*.f64 y (/.f64 x (sqrt.f64 z))))
(/.f64 (+.f64 (neg.f64 x) (*.f64 y (neg.f64 (sqrt.f64 z)))) (*.f64 y (neg.f64 x)))
(/.f64 (+.f64 (neg.f64 x) (*.f64 (neg.f64 y) (sqrt.f64 z))) (*.f64 (neg.f64 y) x))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 z))) (*.f64 (neg.f64 y) #s(literal 1 binary64))) (*.f64 (neg.f64 y) (/.f64 x (sqrt.f64 z))))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (*.f64 (neg.f64 y) (neg.f64 (sqrt.f64 z)))) (*.f64 (neg.f64 y) (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 y (sqrt.f64 z) x)) (neg.f64 (*.f64 y x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 (/.f64 (sqrt.f64 z) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 z (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 (sqrt.f64 z) (*.f64 y x))))))
(/.f64 (neg.f64 (-.f64 (/.f64 z (pow.f64 x #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64)))) (neg.f64 (-.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))))
(/.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 z (pow.f64 x #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (sqrt.f64 z) x)))
(/.f64 (/.f64 (fma.f64 y (sqrt.f64 z) x) x) y)
(pow.f64 (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))))
(exp.f64 (log.f64 (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))
(fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y) (/.f64 (sqrt.f64 z) x))
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (/.f64 (sqrt.f64 z) x))
(fma.f64 (cbrt.f64 (/.f64 z (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (sqrt.f64 z) x)) (/.f64 #s(literal 1 binary64) y))
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 z) x))
(fma.f64 (sqrt.f64 (/.f64 (sqrt.f64 z) x)) (sqrt.f64 (/.f64 (sqrt.f64 z) x)) (/.f64 #s(literal 1 binary64) y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 z) x))) #s(literal 1 binary64))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (/.f64 (pow.f64 z #s(literal 1/4 binary64)) x))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) x))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 z) x)) (cbrt.f64 (/.f64 z (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 z (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (sqrt.f64 z) x)))
(*.f64 (cbrt.f64 z) (/.f64 (cbrt.f64 (sqrt.f64 z)) x))
(*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 z) x)) (sqrt.f64 (/.f64 (sqrt.f64 z) x)))
(*.f64 (neg.f64 (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (/.f64 (sqrt.f64 z) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (sqrt.f64 z) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 z) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 z)) x))
(*.f64 (/.f64 (cbrt.f64 z) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (sqrt.f64 z) x)))
(*.f64 (/.f64 (cbrt.f64 z) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sqrt.f64 z)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 z #s(literal 1/4 binary64)) x))
(*.f64 (/.f64 (pow.f64 z #s(literal 1/4 binary64)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 1/4 binary64)) (cbrt.f64 x)))
(pow.f64 (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 z) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 z) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x (sqrt.f64 z)) #s(literal -1 binary64))
(neg.f64 (/.f64 (sqrt.f64 z) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x))
(sqrt.f64 (/.f64 z (pow.f64 x #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 z) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sqrt.f64 z) x))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 z) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 z) x)))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 z) x)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 z) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 z) x)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 (sqrt.f64 z) x))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 x y)))
(+.f64 (*.f64 (*.f64 x (/.f64 (sqrt.f64 z) x)) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 (/.f64 x y) (*.f64 #s(literal 1/2 binary64) y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x (/.f64 (sqrt.f64 z) x) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) y)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (fma.f64 x (/.f64 (sqrt.f64 z) x) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x (/.f64 (sqrt.f64 z) x) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (fma.f64 x (/.f64 (sqrt.f64 z) x) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x (/.f64 (sqrt.f64 z) x) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 x (/.f64 (sqrt.f64 z) x) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 (sqrt.f64 z) x) (/.f64 x y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (fma.f64 x (/.f64 (sqrt.f64 z) x) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) y)))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x (/.f64 (sqrt.f64 z) x) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 (sqrt.f64 z) x) (/.f64 x y))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 (sqrt.f64 z) x) (/.f64 x y))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x (/.f64 (sqrt.f64 z) x) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x (/.f64 (sqrt.f64 z) x) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) y))))
(exp.f64 (log.f64 (*.f64 (fma.f64 x (/.f64 (sqrt.f64 z) x) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x (/.f64 (sqrt.f64 z) x) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) y))) #s(literal 1 binary64)))

simplify284.0ms (3.5%)

Algorithm
egg-herbie
Rules
581×associate-*r*
566×associate-*l*
430×fmm-def
420×exp-prod
284×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
079820593
1189619617
2695719593
Stop Event
node limit
Counts
703 → 447
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))
(*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))
(*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
(*.f64 #s(literal 1/2 binary64) x)
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (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 (*.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)
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(*.f64 (cbrt.f64 (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (+.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 (/.f64 (sqrt.f64 z) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 z (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 (sqrt.f64 z) (*.f64 y x))))))
(*.f64 (-.f64 (/.f64 z (pow.f64 x #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))))
(/.f64 (fma.f64 y (sqrt.f64 z) x) (*.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) (fma.f64 y (sqrt.f64 z) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 z (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 (sqrt.f64 z) (*.f64 y x)))) (+.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 (/.f64 (sqrt.f64 z) x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y)) (-.f64 (/.f64 z (pow.f64 x #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 (/.f64 (sqrt.f64 z) x) #s(literal 3 binary64))) (+.f64 (/.f64 z (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 (sqrt.f64 z) (*.f64 y x)))))
(/.f64 (+.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 (/.f64 (sqrt.f64 z) x) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal -2 binary64)) (-.f64 (/.f64 z (pow.f64 x #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) (*.f64 y x)))))
(/.f64 (-.f64 (/.f64 z (pow.f64 x #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64))) (-.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (+.f64 (*.f64 (sqrt.f64 z) (neg.f64 y)) (*.f64 x #s(literal -1 binary64))) (*.f64 x (neg.f64 y)))
(/.f64 (+.f64 y (*.f64 (/.f64 x (sqrt.f64 z)) #s(literal 1 binary64))) (*.f64 (/.f64 x (sqrt.f64 z)) y))
(/.f64 (+.f64 (neg.f64 y) (*.f64 (/.f64 x (sqrt.f64 z)) #s(literal -1 binary64))) (*.f64 (/.f64 x (sqrt.f64 z)) (neg.f64 y)))
(/.f64 (+.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) y))
(/.f64 (+.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 y)) (*.f64 (neg.f64 x) #s(literal -1 binary64))) (*.f64 (neg.f64 x) (neg.f64 y)))
(/.f64 (+.f64 (/.f64 x (sqrt.f64 z)) y) (*.f64 y (/.f64 x (sqrt.f64 z))))
(/.f64 (+.f64 (neg.f64 x) (*.f64 y (neg.f64 (sqrt.f64 z)))) (*.f64 y (neg.f64 x)))
(/.f64 (+.f64 (neg.f64 x) (*.f64 (neg.f64 y) (sqrt.f64 z))) (*.f64 (neg.f64 y) x))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 z))) (*.f64 (neg.f64 y) #s(literal 1 binary64))) (*.f64 (neg.f64 y) (/.f64 x (sqrt.f64 z))))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (*.f64 (neg.f64 y) (neg.f64 (sqrt.f64 z)))) (*.f64 (neg.f64 y) (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 y (sqrt.f64 z) x)) (neg.f64 (*.f64 y x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal -3 binary64)) (pow.f64 (/.f64 (sqrt.f64 z) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 z (pow.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 (sqrt.f64 z) (*.f64 y x))))))
(/.f64 (neg.f64 (-.f64 (/.f64 z (pow.f64 x #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64)))) (neg.f64 (-.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))))
(/.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 z (pow.f64 x #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (sqrt.f64 z) x)))
(/.f64 (/.f64 (fma.f64 y (sqrt.f64 z) x) x) y)
(pow.f64 (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))))
(exp.f64 (log.f64 (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))
(fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y) (/.f64 (sqrt.f64 z) x))
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 y)) (/.f64 (sqrt.f64 z) x))
(fma.f64 (cbrt.f64 (/.f64 z (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (sqrt.f64 z) x)) (/.f64 #s(literal 1 binary64) y))
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 z) x))
(fma.f64 (sqrt.f64 (/.f64 (sqrt.f64 z) x)) (sqrt.f64 (/.f64 (sqrt.f64 z) x)) (/.f64 #s(literal 1 binary64) y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 z) x))) #s(literal 1 binary64))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (/.f64 (pow.f64 z #s(literal 1/4 binary64)) x))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) x))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 z) x)) (cbrt.f64 (/.f64 z (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 z (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (sqrt.f64 z) x)))
(*.f64 (cbrt.f64 z) (/.f64 (cbrt.f64 (sqrt.f64 z)) x))
(*.f64 (cbrt.f64 z) (*.f64 (cbrt.f64 (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 z) x)) (sqrt.f64 (/.f64 (sqrt.f64 z) x)))
(*.f64 (neg.f64 (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (/.f64 (sqrt.f64 z) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (sqrt.f64 z) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 z) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 z)) x))
(*.f64 (/.f64 (cbrt.f64 z) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (sqrt.f64 z) x)))
(*.f64 (/.f64 (cbrt.f64 z) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sqrt.f64 z)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 z #s(literal 1/4 binary64)) x))
(*.f64 (/.f64 (pow.f64 z #s(literal 1/4 binary64)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 1/4 binary64)) (cbrt.f64 x)))
(pow.f64 (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 z) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 z) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x (sqrt.f64 z)) #s(literal -1 binary64))
(neg.f64 (/.f64 (sqrt.f64 z) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x))
(sqrt.f64 (/.f64 z (pow.f64 x #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 z) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sqrt.f64 z) x))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 z) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 z) x)))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 z) x)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 z) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 z) x)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x (/.f64 (sqrt.f64 z) x))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 x y)))
(+.f64 (*.f64 (*.f64 x (/.f64 (sqrt.f64 z) x)) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 (/.f64 x y) (*.f64 #s(literal 1/2 binary64) y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x (/.f64 (sqrt.f64 z) x) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) y)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (fma.f64 x (/.f64 (sqrt.f64 z) x) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x (/.f64 (sqrt.f64 z) x) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (fma.f64 x (/.f64 (sqrt.f64 z) x) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x (/.f64 (sqrt.f64 z) x) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 x (/.f64 (sqrt.f64 z) x) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 (sqrt.f64 z) x) (/.f64 x y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (fma.f64 x (/.f64 (sqrt.f64 z) x) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) y)))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x (/.f64 (sqrt.f64 z) x) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 (sqrt.f64 z) x) (/.f64 x y))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 (sqrt.f64 z) x) (/.f64 x y))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x (/.f64 (sqrt.f64 z) x) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x (/.f64 (sqrt.f64 z) x) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) y))))
(exp.f64 (log.f64 (*.f64 (fma.f64 x (/.f64 (sqrt.f64 z) x) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x (/.f64 (sqrt.f64 z) x) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) y))) #s(literal 1 binary64)))
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))
(*.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 #s(literal 1/2 binary64) (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 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 z (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x))
(*.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 #s(literal 1/2 binary64) (fma.f64 z (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x))
(*.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 #s(literal 1/2 binary64) (fma.f64 z (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) x))
(*.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)))
(*.f64 y (*.f64 #s(literal 1/2 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 (neg.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 x z) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(neg.f64 (+.f64 (*.f64 z (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1/2 binary64) y))) (*.f64 x #s(literal -1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 x z) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(neg.f64 (+.f64 (*.f64 z (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1/2 binary64) y))) (*.f64 x #s(literal -1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 x z) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(neg.f64 (+.f64 (*.f64 z (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1/2 binary64) y))) (*.f64 x #s(literal -1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) x)
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 y (*.f64 #s(literal 1/2 binary64) (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 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.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) (fma.f64 y (sqrt.f64 z) x))
(*.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) (fma.f64 y (sqrt.f64 z) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 y (*.f64 #s(literal 1/2 binary64) (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)))))
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(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(exp.f64 (log.f64 (*.f64 (fma.f64 x (/.f64 (sqrt.f64 z) x) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) y))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x (/.f64 (sqrt.f64 z) x) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) y))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))

eval92.0ms (1.1%)

Compiler

Compiled 10193 to 2500 computations (75.5% saved)

prune103.0ms (1.3%)

Pruning

19 alts after pruning (12 fresh and 7 done)

PrunedKeptTotal
New6779686
Fresh235
Picked145
Done033
Total68019699
Accuracy
100.0%
Counts
699 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.8%
(/.f64 (*.f64 (*.f64 x (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) y)) x)
40.1%
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) x) z)
41.3%
(/.f64 (*.f64 #s(literal 1/2 binary64) z) (/.f64 z x))
50.1%
(*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))
38.2%
(*.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
86.9%
(*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y))))
38.1%
(*.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) y))))
79.7%
(*.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y)))))
36.8%
(*.f64 x (*.f64 (sqrt.f64 z) (*.f64 y (/.f64 #s(literal 1/2 binary64) x))))
40.1%
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z x) z))
40.0%
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 z x))))
99.8%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
94.6%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (neg.f64 y) z)))))
41.1%
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 x z)))
84.9%
(*.f64 #s(literal 1/2 binary64) (*.f64 z (+.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z))))
41.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) z) x)))
45.5%
(*.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 y (pow.f64 z #s(literal -1/2 binary64)))))
27.8%
(*.f64 #s(literal 1/2 binary64) (fabs.f64 x))
51.1%
(*.f64 #s(literal 1/2 binary64) x)
Compiler

Compiled 359 to 261 computations (27.3% saved)

simplify78.0ms (1%)

Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff128
(*.f64 x (/.f64 #s(literal 1 binary64) y))
cost-diff128
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) y)))
cost-diff384
(*.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) y))))
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 z x)
cost-diff256
(/.f64 (*.f64 z x) z)
cost-diff256
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z x) z))
cost-diff0
(/.f64 #s(literal 1 binary64) z)
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
cost-diff0
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (neg.f64 y) z))
cost-diff128
(neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (neg.f64 y) z)))
Rules
838×times-frac
518×div-sub
429×fmm-def
311×distribute-lft-neg-out
301×distribute-lft-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033512
189398
2238398
3959398
44145398
57847398
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (+.f64 x (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (neg.f64 y) z)))))
#s(literal 1/2 binary64)
(+.f64 x (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (neg.f64 y) z))))
x
(neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (neg.f64 y) z)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (neg.f64 y) z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(*.f64 (neg.f64 y) z)
(neg.f64 y)
y
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z x) z))
#s(literal 1/2 binary64)
(/.f64 (*.f64 z x) z)
(*.f64 z x)
z
x
(/.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 y (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) y))))
y
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) y)))
#s(literal 1/2 binary64)
(*.f64 x (/.f64 #s(literal 1 binary64) y))
x
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 x (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (neg.f64 y) z)))))
(*.f64 #s(literal 1/2 binary64) (-.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 z (neg.f64 y)))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 z y) x))
#s(literal 1/2 binary64)
(+.f64 x (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (neg.f64 y) z))))
(-.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 z (neg.f64 y))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 z y) x)
x
(neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (neg.f64 y) z)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 (*.f64 z (neg.f64 y))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 z y))
(*.f64 z (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (neg.f64 y) z))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 z (neg.f64 y)))
(*.f64 z (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 y)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(*.f64 (neg.f64 y) z)
(*.f64 z (neg.f64 y))
(neg.f64 y)
y
(*.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) x)
#s(literal 1/2 binary64)
(/.f64 (*.f64 z x) z)
x
(*.f64 z x)
(*.f64 x z)
z
x
(/.f64 (*.f64 #s(literal 1/2 binary64) z) (/.f64 z x))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 x z)))
(*.f64 #s(literal 1/2 binary64) 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)))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 x z)))
(*.f64 #s(literal 1/2 binary64) x)
#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 y (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 x z)))
(*.f64 #s(literal 1/2 binary64) x)
y
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
#s(literal 1/2 binary64)
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(/.f64 x y)
x
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)

localize102.0ms (1.3%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) y)))
accuracy99.7%
(*.f64 x (/.f64 #s(literal 1 binary64) y))
accuracy74.7%
(*.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) y))))
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)
accuracy77.1%
(*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) z) x))
accuracy100.0%
(/.f64 z x)
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) z)
accuracy77.1%
(/.f64 (*.f64 #s(literal 1/2 binary64) z) (/.f64 z x))
accuracy100.0%
(*.f64 z x)
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z x) z))
accuracy77.4%
(/.f64 (*.f64 z x) z)
accuracy100.0%
(neg.f64 y)
accuracy100.0%
(+.f64 x (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (neg.f64 y) z))))
accuracy99.8%
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
accuracy87.9%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (neg.f64 y) z))
Results
67.0ms256×0valid
Compiler

Compiled 155 to 28 computations (81.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-mult: 19.0ms (55.5% of total)
ival-div: 9.0ms (26.3% of total)
ival-sqrt: 2.0ms (5.8% of total)
ival-neg: 2.0ms (5.8% of total)
ival-add: 1.0ms (2.9% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series32.0ms (0.4%)

Counts
17 → 336
Calls
Call 1
Inputs
#<alt (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (neg.f64 y) z)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (neg.f64 y) z))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z x) z))>
#<alt (/.f64 (*.f64 z x) z)>
#<alt (*.f64 z x)>
#<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 y (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (/.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (+.f64 x (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (neg.f64 y) z))))>
#<alt (neg.f64 y)>
Outputs
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 (*.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 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 #s(literal -1 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 1/2 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 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x 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)>
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#<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>
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#<alt x>
#<alt x>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
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#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x z)>
#<alt (/.f64 x 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)>
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#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
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#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
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#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
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#<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) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x y))>
#<alt (/.f64 x y)>
#<alt (/.f64 x y)>
#<alt (/.f64 x y)>
#<alt (/.f64 x y)>
#<alt (/.f64 x y)>
#<alt (/.f64 x y)>
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#<alt (/.f64 x y)>
#<alt (/.f64 x y)>
#<alt (/.f64 x y)>
#<alt (/.f64 x y)>
#<alt (/.f64 x y)>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (-.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (-.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (-.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))>
#<alt (-.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (-.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (-.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (-.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z))))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt (*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt (*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal -1 binary64) (*.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 z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt x>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (+.f64 x (*.f64 y (sqrt.f64 z)))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal -1 binary64) (sqrt.f64 z))))>
#<alt (*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal -1 binary64) (sqrt.f64 z))))>
#<alt (*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal -1 binary64) (sqrt.f64 z))))>
#<alt (*.f64 y (sqrt.f64 z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (sqrt.f64 z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (sqrt.f64 z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (sqrt.f64 z))))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
Calls

96 calls:

TimeVariablePointExpression
16.0ms
x
@inf
(* y (* 1/2 (* x (/ 1 y))))
0.0ms
x
@inf
(* 1/2 (* x (/ 1 y)))
0.0ms
z
@0
(neg (* (sqrt (/ 1 z)) (* (neg y) z)))
0.0ms
z
@-inf
(/ z x)
0.0ms
x
@-inf
(* 1/2 (* x (/ 1 y)))

rewrite223.0ms (2.8%)

Algorithm
batch-egg-rewrite
Rules
583×log1p-expm1-u
291×associate-*r*
219×expm1-log1p-u
217×add-exp-log
217×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032380
1538246
27522246
Stop Event
node limit
Counts
17 → 570
Calls
Call 1
Inputs
(neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (neg.f64 y) z)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (neg.f64 y) z))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z x) z))
(/.f64 (*.f64 z x) z)
(*.f64 z x)
(/.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 y (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
(+.f64 x (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (neg.f64 y) z))))
(neg.f64 y)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 z y) (sqrt.f64 z)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z y) (sqrt.f64 z)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 z y) (sqrt.f64 z)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) (sqrt.f64 z)))
(*.f64 z (/.f64 y (sqrt.f64 z)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y))
(*.f64 y (*.f64 z (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (*.f64 z y) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (*.f64 z y) (neg.f64 (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (/.f64 (*.f64 z y) (sqrt.f64 z)) #s(literal 1 binary64))
(*.f64 (/.f64 (*.f64 z y) (sqrt.f64 z)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z y) (sqrt.f64 z)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 z y) (sqrt.f64 z))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 z y) (sqrt.f64 z)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 z y) (sqrt.f64 z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (*.f64 z y) (sqrt.f64 z))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 z y) (sqrt.f64 z)) #s(literal 2 binary64))) (neg.f64 (cbrt.f64 (/.f64 (*.f64 z y) (sqrt.f64 z)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 z)) (*.f64 (cbrt.f64 (pow.f64 z #s(literal -1/2 binary64))) (*.f64 z y)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (*.f64 z y)) (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 z #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 (pow.f64 z #s(literal -1/2 binary64))) (*.f64 z y)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 z y) (sqrt.f64 z))) (sqrt.f64 (/.f64 (*.f64 z y) (sqrt.f64 z))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 z y) (sqrt.f64 z))) (neg.f64 (sqrt.f64 (/.f64 (*.f64 z y) (sqrt.f64 z)))))
(*.f64 (sqrt.f64 (*.f64 z y)) (*.f64 (sqrt.f64 (*.f64 z y)) (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) (*.f64 z y))
(*.f64 (/.f64 y (sqrt.f64 z)) z)
(*.f64 (/.f64 y (sqrt.f64 z)) (neg.f64 z))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (*.f64 z y) (sqrt.f64 z)))) (sqrt.f64 (/.f64 (*.f64 z y) (sqrt.f64 z))))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 z y) (sqrt.f64 z)) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (*.f64 z y) (sqrt.f64 z))))
(*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) z) y)
(*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (cbrt.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 z y)))
(*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 z y))) (sqrt.f64 (*.f64 z y)))
(*.f64 (*.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (cbrt.f64 z))) (cbrt.f64 (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (*.f64 (*.f64 z y) (sqrt.f64 (pow.f64 z #s(literal -1/2 binary64)))) (sqrt.f64 (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (*.f64 (/.f64 y (sqrt.f64 z)) #s(literal 1 binary64)) z)
(*.f64 (*.f64 (/.f64 y (sqrt.f64 z)) (cbrt.f64 (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 z))
(*.f64 (*.f64 (/.f64 y (sqrt.f64 z)) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (*.f64 #s(literal -1 binary64) (cbrt.f64 (pow.f64 (/.f64 (*.f64 z y) (sqrt.f64 z)) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (*.f64 z y) (sqrt.f64 z))))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (*.f64 z y) (sqrt.f64 z)))) (sqrt.f64 (/.f64 (*.f64 z y) (sqrt.f64 z))))
(*.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 z))) z)
(*.f64 (*.f64 (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)) (*.f64 z y))
(*.f64 (*.f64 (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) z) y)
(*.f64 (*.f64 (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) y) z)
(*.f64 (*.f64 (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) (cbrt.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 z y)))
(*.f64 (*.f64 (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 z y))) (sqrt.f64 (*.f64 z y)))
(/.f64 (*.f64 z y) (sqrt.f64 z))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (*.f64 z y) (sqrt.f64 z)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (*.f64 z y) (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 z y) (sqrt.f64 z))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (*.f64 z y) (sqrt.f64 z)) #s(literal 2 binary64))) (/.f64 (*.f64 z y) (sqrt.f64 z)))
(pow.f64 (/.f64 (*.f64 z y) (sqrt.f64 z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 z y) (sqrt.f64 z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 z y) (sqrt.f64 z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 z y) (sqrt.f64 z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 z y) (sqrt.f64 z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 y (sqrt.f64 z))) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 z y) (sqrt.f64 z)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 z y) (sqrt.f64 z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 z y) (sqrt.f64 z))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 z y) (sqrt.f64 z))))
(exp.f64 (log.f64 (/.f64 (*.f64 z y) (sqrt.f64 z))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 z y) (sqrt.f64 z))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 z y) (sqrt.f64 z)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z y) (sqrt.f64 z)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 z y) (sqrt.f64 z)))) #s(literal 1 binary64))
(/.f64 (*.f64 z y) (sqrt.f64 z))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (*.f64 z y) (sqrt.f64 z)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (*.f64 z y) (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 z y) (sqrt.f64 z))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (*.f64 z y) (sqrt.f64 z)) #s(literal 2 binary64))) (/.f64 (*.f64 z y) (sqrt.f64 z)))
(pow.f64 (/.f64 (*.f64 z y) (sqrt.f64 z)) #s(literal 1 binary64))
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(exp.f64 (*.f64 (neg.f64 (log.f64 y)) #s(literal 1 binary64)))
(-.f64 x (/.f64 (*.f64 z y) (sqrt.f64 z)))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (*.f64 z y) (sqrt.f64 z)) x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y) x)) (/.f64 (pow.f64 (/.f64 (*.f64 z y) (sqrt.f64 z)) #s(literal 2 binary64)) (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y) x)))
(-.f64 (+.f64 x #s(literal 0 binary64)) (/.f64 (*.f64 z y) (sqrt.f64 z)))
(*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y) x))
(*.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y) x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y) x)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y) x)))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y) x)) (sqrt.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y) x)))
(*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 z y) (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y) x) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 z y) (sqrt.f64 z)) x))))
(*.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y) x)))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (*.f64 z y) (sqrt.f64 z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (*.f64 z y) (sqrt.f64 z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y) x) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 z y) (sqrt.f64 z)) x)) (+.f64 (pow.f64 (/.f64 (*.f64 z y) (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y) x) (pow.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y) x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 z y) (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y) x) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 z y) (sqrt.f64 z)) x)))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 z y) (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 z y) (sqrt.f64 z)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 z y) (sqrt.f64 z)) x))))
(/.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y) x) #s(literal 2 binary64)) (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 z y) (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y) x) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 z y) (sqrt.f64 z)) x))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y) x) #s(literal 2 binary64))) (neg.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z y) (sqrt.f64 z)) #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y) x) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 z y) (sqrt.f64 z)) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 z y) (sqrt.f64 z)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 z y) (sqrt.f64 z)) x))
(pow.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y) x))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y) x)))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y) x)))
(exp.f64 (log.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y) x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) (sqrt.f64 z)) x)
(fma.f64 #s(literal 1 binary64) x (/.f64 (*.f64 z y) (sqrt.f64 z)))
(fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y) x)
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 z y) (sqrt.f64 z)) x)
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 z y) (sqrt.f64 z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (*.f64 z y) (sqrt.f64 z))) x)
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 x) (/.f64 (*.f64 z y) (sqrt.f64 z)))
(fma.f64 (sqrt.f64 (/.f64 (*.f64 z y) (sqrt.f64 z))) (sqrt.f64 (/.f64 (*.f64 z y) (sqrt.f64 z))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (*.f64 z y) (sqrt.f64 z)))
(fma.f64 (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) (*.f64 z y) x)
(+.f64 #s(literal 0 binary64) y)
(-.f64 #s(literal 0 binary64) y)
(-.f64 (exp.f64 (log1p.f64 y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) y)
(*.f64 y #s(literal 1 binary64))
(*.f64 y #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) #s(literal 1 binary64)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 y #s(literal 1 binary64))
(/.f64 y #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) y))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64))) y)
(pow.f64 y #s(literal 1 binary64))
(pow.f64 (cbrt.f64 y) #s(literal 3 binary64))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 y #s(literal 2 binary64)))
(log.f64 (exp.f64 y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)))
(cbrt.f64 (pow.f64 y #s(literal 3 binary64)))
y
(expm1.f64 (log1p.f64 y))
(log1p.f64 (expm1.f64 y))
(exp.f64 (log.f64 y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))

simplify253.0ms (3.2%)

Algorithm
egg-herbie
Rules
513×times-frac
463×fmm-def
435×exp-prod
372×*-commutative
339×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
094918076
1204616986
2650916986
Stop Event
node limit
Counts
906 → 619
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 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (*.f64 y (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)
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(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x z)
(*.f64 x 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)
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(*.f64 #s(literal 1/2 binary64) x)
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(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
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(*.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 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x 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)
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
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(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
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(+.f64 #s(literal 0 binary64) y)
(-.f64 #s(literal 0 binary64) y)
(-.f64 (exp.f64 (log1p.f64 y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) y)
(*.f64 y #s(literal 1 binary64))
(*.f64 y #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) #s(literal 1 binary64)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 y #s(literal 1 binary64))
(/.f64 y #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) y))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64))) y)
(pow.f64 y #s(literal 1 binary64))
(pow.f64 (cbrt.f64 y) #s(literal 3 binary64))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 y #s(literal 2 binary64)))
(log.f64 (exp.f64 y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)))
(cbrt.f64 (pow.f64 y #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 y))
(log1p.f64 (expm1.f64 y))
(exp.f64 (log.f64 y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))
Outputs
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 y (sqrt.f64 z))
(*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (neg.f64 y))
(*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (neg.f64 y))
(*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (neg.f64 y))
(*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z))
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (neg.f64 y))
(*.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 y (sqrt.f64 z)))
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z)))
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (neg.f64 y))
(*.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 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
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(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
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(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
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(*.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)
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(*.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)
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(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
(/.f64 x z)
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(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
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(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
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(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
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(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 x y)
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(/.f64 x y)
(/.f64 x y)
(*.f64 y (sqrt.f64 z))
(-.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z))))
(-.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
(-.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z))))
(-.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
(-.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z))))
(-.f64 x (*.f64 (neg.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 #s(literal 1 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x))))
(*.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 #s(literal 1 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x))))
(*.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 #s(literal 1 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x))))
(*.f64 x (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 z) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (fma.f64 (sqrt.f64 z) (/.f64 (neg.f64 y) x) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (/.f64 y x)) #s(literal -1 binary64)))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 y z) (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (-.f64 (pow.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x) #s(literal 2 binary64)) (*.f64 x (/.f64 (*.f64 y z) (sqrt.f64 z))))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 y z) (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64)) (*.f64 x (/.f64 (*.f64 y z) (sqrt.f64 z))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y) x) #s(literal 2 binary64))) (neg.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y) x)))
(/.f64 (neg.f64 (pow.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x) #s(literal 2 binary64))) (neg.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x)))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64)) (fma.f64 y (sqrt.f64 z) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z y) (sqrt.f64 z)) #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y) x) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 z y) (sqrt.f64 z)) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y z) (sqrt.f64 z)) #s(literal 3 binary64))) (-.f64 (pow.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x) #s(literal 2 binary64)) (*.f64 x (/.f64 (*.f64 y z) (sqrt.f64 z)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y z) (sqrt.f64 z)) #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 2 binary64)) (*.f64 x (/.f64 (*.f64 y z) (sqrt.f64 z)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 z y) (sqrt.f64 z)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 z y) (sqrt.f64 z)) x))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y z) (sqrt.f64 z)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 y z) (sqrt.f64 z)) x))
(pow.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y) x) #s(literal 1 binary64))
(-.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y) x)) #s(literal 3 binary64))
(-.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
(pow.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y) x)) #s(literal 2 binary64))
(-.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y) x) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 y (sqrt.f64 z) x))
(log.f64 (exp.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y) x)))
(-.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y) x))))
(-.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y) x) #s(literal 3 binary64)))
(-.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y) x)))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 y (pow.f64 z #s(literal 1/2 binary64))) x)))
(expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 z) x)))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y) x)))
(-.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
(exp.f64 (log.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y) x)))
(-.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y) x)) #s(literal 1 binary64)))
(-.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) (sqrt.f64 z)) x)
(+.f64 (/.f64 (*.f64 y z) (sqrt.f64 z)) x)
(fma.f64 z (/.f64 y (sqrt.f64 z)) x)
(fma.f64 #s(literal 1 binary64) x (/.f64 (*.f64 z y) (sqrt.f64 z)))
(+.f64 (/.f64 (*.f64 y z) (sqrt.f64 z)) x)
(fma.f64 z (/.f64 y (sqrt.f64 z)) x)
(fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 z y) x)
(-.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z)))
(fma.f64 y (sqrt.f64 z) x)
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 z y) (sqrt.f64 z)) x)
(-.f64 x (/.f64 (*.f64 y z) (sqrt.f64 z)))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 z y) (sqrt.f64 z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (*.f64 z y) (sqrt.f64 z))) x)
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 y z) (sqrt.f64 z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (*.f64 y z) (sqrt.f64 z))) x)
(fma.f64 (cbrt.f64 (/.f64 (*.f64 y z) (sqrt.f64 z))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 y z) (sqrt.f64 z)) #s(literal 2 binary64))) x)
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 x) (/.f64 (*.f64 z y) (sqrt.f64 z)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 x) (/.f64 (*.f64 y z) (sqrt.f64 z)))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 y z) (sqrt.f64 z)))
(fma.f64 (sqrt.f64 (/.f64 (*.f64 z y) (sqrt.f64 z))) (sqrt.f64 (/.f64 (*.f64 z y) (sqrt.f64 z))) x)
(+.f64 (/.f64 (*.f64 y z) (sqrt.f64 z)) x)
(fma.f64 z (/.f64 y (sqrt.f64 z)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (*.f64 z y) (sqrt.f64 z)))
(+.f64 (/.f64 (*.f64 y z) (sqrt.f64 z)) x)
(fma.f64 z (/.f64 y (sqrt.f64 z)) x)
(fma.f64 (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) (*.f64 z y) x)
(+.f64 (*.f64 y (neg.f64 (pow.f64 z #s(literal 1/2 binary64)))) x)
(fma.f64 y (neg.f64 (sqrt.f64 z)) x)
(+.f64 #s(literal 0 binary64) y)
y
(-.f64 #s(literal 0 binary64) y)
(neg.f64 y)
(-.f64 (exp.f64 (log1p.f64 y)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 y))
(*.f64 #s(literal 1 binary64) y)
y
(*.f64 y #s(literal 1 binary64))
y
(*.f64 y #s(literal -1 binary64))
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
y
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y))
y
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)))
(neg.f64 y)
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) #s(literal 1 binary64)))
y
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
y
(*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))
(neg.f64 y)
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) #s(literal 1 binary64)))
y
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(neg.f64 y)
(*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y))
(neg.f64 y)
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(neg.f64 y)
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(neg.f64 y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
y
(/.f64 y #s(literal 1 binary64))
y
(/.f64 y #s(literal -1 binary64))
(neg.f64 y)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) y))))
(/.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64))) y)
(/.f64 (neg.f64 (pow.f64 y #s(literal 2 binary64))) y)
(pow.f64 y #s(literal 1 binary64))
y
(pow.f64 (cbrt.f64 y) #s(literal 3 binary64))
y
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/3 binary64))
y
(pow.f64 (sqrt.f64 y) #s(literal 2 binary64))
y
(sqrt.f64 (pow.f64 y #s(literal 2 binary64)))
(fabs.f64 y)
(log.f64 (exp.f64 y))
y
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)))
y
(cbrt.f64 (pow.f64 y #s(literal 3 binary64)))
y
(expm1.f64 (log1p.f64 y))
(log1p.f64 (expm1.f64 y))
y
(exp.f64 (log.f64 y))
y
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))
y

eval89.0ms (1.1%)

Compiler

Compiled 9674 to 2578 computations (73.4% saved)

prune126.0ms (1.6%)

Pruning

25 alts after pruning (16 fresh and 9 done)

PrunedKeptTotal
New71113724
Fresh437
Picked235
Done167
Total71825743
Accuracy
100.0%
Counts
743 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.7%
(/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) x) y)
40.8%
(/.f64 (*.f64 (*.f64 x (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) y)) x)
41.2%
(/.f64 (*.f64 #s(literal 1/2 binary64) z) (*.f64 (/.f64 #s(literal 1 binary64) x) z))
51.0%
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
40.0%
(*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 z (/.f64 #s(literal 1 binary64) x)))
40.0%
(*.f64 (*.f64 z x) (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)))
50.1%
(*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))
38.2%
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 x y))
41.0%
(*.f64 z (/.f64 #s(literal 1/2 binary64) (/.f64 z x)))
2.3%
(*.f64 y (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))
38.1%
(*.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y x))))
86.9%
(*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 z) (/.f64 x y))))
38.1%
(*.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) y))))
2.3%
(*.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal -1 binary64) y))))
79.7%
(*.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y)))))
40.1%
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z x) z))
94.6%
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 y z) (sqrt.f64 z)) x))
94.2%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 (/.f64 y (sqrt.f64 z)) z)))
99.8%
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))
41.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x))))
41.1%
(*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 x z)))
41.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 (/.f64 #s(literal 1 binary64) z) x)))
45.5%
(*.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 y (pow.f64 z #s(literal -1/2 binary64)))))
27.8%
(*.f64 #s(literal 1/2 binary64) (fabs.f64 x))
51.1%
(*.f64 #s(literal 1/2 binary64) x)
Compiler

Compiled 730 to 367 computations (49.7% saved)

regimes100.0ms (1.3%)

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

7 calls:

17.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
16.0ms
y
14.0ms
(*.f64 y (sqrt.f64 z))
13.0ms
(sqrt.f64 z)
12.0ms
(+.f64 x (*.f64 y (sqrt.f64 z)))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
99.8%1(+.f64 x (*.f64 y (sqrt.f64 z)))
99.8%1(*.f64 y (sqrt.f64 z))
99.8%1(sqrt.f64 z)
Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes87.0ms (1.1%)

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

7 calls:

16.0ms
(+.f64 x (*.f64 y (sqrt.f64 z)))
14.0ms
(sqrt.f64 z)
14.0ms
z
10.0ms
x
10.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
99.8%1(+.f64 x (*.f64 y (sqrt.f64 z)))
99.8%1(*.f64 y (sqrt.f64 z))
99.8%1(sqrt.f64 z)
Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes43.0ms (0.5%)

Counts
23 → 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 z x) z))
(*.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(*.f64 y (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))
(*.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 #s(literal 1/2 binary64) z) x) z)
(/.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) x) y)
(*.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 z x))))
(*.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal -1 binary64) y))))
(*.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) y))))
(*.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 (*.f64 z x) (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)))
(*.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))))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 x))
(*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 (*.f64 y (sqrt.f64 z)) #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

5 calls:

10.0ms
y
10.0ms
(sqrt.f64 z)
7.0ms
z
7.0ms
x
7.0ms
(*.f64 y (sqrt.f64 z))
Results
AccuracySegmentsBranch
78.6%3x
77.2%3y
66.1%2z
78.4%3(*.f64 y (sqrt.f64 z))
66.1%2(sqrt.f64 z)
Compiler

Compiled 24 to 18 computations (25% saved)

regimes24.0ms (0.3%)

Accuracy

Total -31.7b remaining (-101.3%)

Threshold costs -31.7b (-101.3%)

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

3 calls:

10.0ms
y
6.0ms
z
6.0ms
x
Results
AccuracySegmentsBranch
51.1%1z
51.1%1y
51.1%1x
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch30.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
3.363210201642834e-48
2.3777510235587017e-46
12.0ms
-6.135476373206362e+21
-110585557201475890.0
Results
19.0ms240×0valid
Compiler

Compiled 271 to 226 computations (16.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 3.0ms (37.4% of total)
ival-div: 2.0ms (24.9% of total)
ival-sqrt: 2.0ms (24.9% of total)
ival-add: 1.0ms (12.5% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify3.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative
if-if-or-not
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030134
142134
Stop Event
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 -580000000000000000000 binary64)) (*.f64 #s(literal 1/2 binary64) x) (if (<=.f64 x #s(literal 1799770609570069/25711008708143844408671393477458601640355247900524685364822016 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 -580000000000000000000 binary64)) (*.f64 #s(literal 1/2 binary64) x) (if (<=.f64 x #s(literal 1799770609570069/25711008708143844408671393477458601640355247900524685364822016 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 -580000000000000000000 binary64)) (not (<=.f64 x #s(literal 1799770609570069/25711008708143844408671393477458601640355247900524685364822016 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)

soundness537.0ms (6.7%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
044376
1128332
2369332
3781332
41341332
52232332
62748332
73238332
83552332
93703332
103784332
113834332
123834332
040113640
191512464
2318212336
Stop Event
fuel
node limit
saturated
Compiler

Compiled 123 to 60 computations (51.2% saved)

preprocess77.0ms (1%)

Compiler

Compiled 104 to 60 computations (42.3% saved)

end0.0ms (0%)

Profiling

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