Diagrams.TwoD.Apollonian:descartes from diagrams-contrib-1.3.0.5

Time bar (total: 16.3s)

analyze363.0ms (2.2%)

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
25%25%74.9%0.1%0%0%0%4
25%25%74.9%0.1%0%0%0%5
25%25%74.9%0.1%0%0%0%6
25%25%74.9%0.1%0%0%0%7
25%25%74.9%0.1%0%0%0%8
26.2%25%70.2%0.1%0%4.7%0%9
28.9%25%61.4%0.1%0%13.5%0%10
31.2%26.3%58%0.1%0%15.5%0%11
37.2%28.9%48.7%0.1%0%22.3%0%12
Compiler

Compiled 18 to 12 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 118.0ms
ival-mult: 71.0ms (60% of total)
ival-add: 23.0ms (19.4% of total)
ival-sqrt: 21.0ms (17.7% of total)
const: 2.0ms (1.7% of total)
backward-pass: 1.0ms (0.8% of total)

sample2.3s (14.3%)

Results
935.0ms8256×0valid
497.0ms4460×0invalid
Precisions
Click to see histograms. Total time spent on operations: 897.0ms
ival-mult: 535.0ms (59.6% of total)
ival-add: 236.0ms (26.3% of total)
ival-sqrt: 104.0ms (11.6% of total)
const: 17.0ms (1.9% of total)
backward-pass: 5.0ms (0.6% of total)
Bogosity

preprocess160.0ms (1%)

Algorithm
egg-herbie
Rules
843×fma-neg
694×fma-define
234×cancel-sign-sub-inv
147×sub-neg
102×associate-+l-
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
057590
1156534
2328530
3624530
41291530
51969530
62919530
73283530
83342530
93348530
103348530
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 x) z)) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x (neg.f64 y)) (*.f64 x z)) (*.f64 (neg.f64 y) z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x (neg.f64 z))) (*.f64 y (neg.f64 z)))))
(neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 x) z)) (*.f64 y z)))))
(neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x (neg.f64 y)) (*.f64 x z)) (*.f64 (neg.f64 y) z)))))
(neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x (neg.f64 z))) (*.f64 y (neg.f64 z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 y x) (*.f64 y z)) (*.f64 x z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 z y) (*.f64 z x)) (*.f64 y x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x z) (*.f64 x y)) (*.f64 z y))))
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 x) z)) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 y z) (*.f64 (neg.f64 x) (+.f64 y z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y z (*.f64 (neg.f64 x) (+.f64 y z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (-.f64 (neg.f64 y) z) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 (*.f64 y (-.f64 z x)) (*.f64 x z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x (neg.f64 y)) (*.f64 x z)) (*.f64 (neg.f64 y) z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x (+.f64 (neg.f64 y) z)) (*.f64 y (neg.f64 z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) y z)) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (neg.f64 z) (*.f64 x (-.f64 z y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x (neg.f64 z))) (*.f64 y (neg.f64 z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x (+.f64 y (neg.f64 z))) (*.f64 y (neg.f64 z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (-.f64 y z) (*.f64 y (neg.f64 z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (neg.f64 (fma.f64 y z (*.f64 x (-.f64 z y))))))
(neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 x) z)) (*.f64 y z)))))
(*.f64 #s(literal -2 binary64) (sqrt.f64 (+.f64 (*.f64 y z) (*.f64 (neg.f64 x) (+.f64 y z)))))
(*.f64 (sqrt.f64 (fma.f64 y z (*.f64 (neg.f64 x) (+.f64 y z)))) #s(literal -2 binary64))
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 (neg.f64 y) z) (*.f64 y z))) #s(literal -2 binary64))
(*.f64 (sqrt.f64 (-.f64 (*.f64 y (-.f64 z x)) (*.f64 x z))) #s(literal -2 binary64))
(neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x (neg.f64 y)) (*.f64 x z)) (*.f64 (neg.f64 y) z)))))
(*.f64 #s(literal -2 binary64) (sqrt.f64 (+.f64 (*.f64 x (+.f64 (neg.f64 y) z)) (*.f64 y (neg.f64 z)))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) y z)) (*.f64 y z))) #s(literal -2 binary64))
(*.f64 (sqrt.f64 (fma.f64 y (neg.f64 z) (*.f64 x (-.f64 z y)))) #s(literal -2 binary64))
(neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x (neg.f64 z))) (*.f64 y (neg.f64 z))))))
(*.f64 #s(literal -2 binary64) (sqrt.f64 (+.f64 (*.f64 x (+.f64 y (neg.f64 z))) (*.f64 y (neg.f64 z)))))
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 y z) (*.f64 y (neg.f64 z)))) #s(literal -2 binary64))
(*.f64 (sqrt.f64 (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))) #s(literal -2 binary64))
(*.f64 (sqrt.f64 (neg.f64 (fma.f64 y z (*.f64 x (-.f64 z y))))) #s(literal -2 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 y x) (*.f64 y z)) (*.f64 x z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 z y) (*.f64 z x)) (*.f64 y x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x z) (*.f64 x y)) (*.f64 z y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
Symmetry

(sort x y z)

explain170.0ms (1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
800-0-(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
40-0-(+.f64 (*.f64 x y) (*.f64 x z))
30-0-(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
00-0-x
00-0-(*.f64 y z)
00-0-y
00-0-#s(literal 2 binary64)
00-0-(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
00-0-(*.f64 x y)
00-0-(*.f64 x z)
00-0-z
Results
57.0ms512×0valid
Compiler

Compiled 139 to 37 computations (73.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 14.0ms (53.4% of total)
ival-sqrt: 6.0ms (22.9% of total)
ival-add: 5.0ms (19.1% of total)
const: 1.0ms (3.8% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 37 to 22 computations (40.5% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
70.5%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
70.4%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
Compiler

Compiled 29 to 19 computations (34.5% saved)

localize79.0ms (0.5%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
cost-diff0
(+.f64 y x)
cost-diff0
(*.f64 z (+.f64 y x))
cost-diff0
(*.f64 x y)
accuracy99.9%
(*.f64 z (+.f64 y x))
accuracy98.8%
(+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))
accuracy70.5%
(sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))
accuracy70.5%
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x))))
Rules
25×fma-define
*-commutative
+-commutative
associate-+r+
distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023353
142353
267353
383353
489353
590353
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
#s(literal 2 binary64)
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x))))
(+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))
(*.f64 x y)
x
y
(*.f64 z (+.f64 y x))
z
(+.f64 y x)
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
#s(literal 2 binary64)
(sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))
(fma.f64 x z (*.f64 y (+.f64 x z)))
x
z
(*.f64 y (+.f64 x z))
y
(+.f64 x z)
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))
#s(literal 2 binary64)
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x))))
(sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))
(sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))
(+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))
(fma.f64 x y (*.f64 z (+.f64 x y)))
(fma.f64 x (+.f64 y z) (*.f64 y z))
(*.f64 x y)
x
y
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
z
(+.f64 y x)
(+.f64 x y)
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))
#s(literal 2 binary64)
(sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))
(sqrt.f64 (fma.f64 x y (*.f64 z (+.f64 x y))))
(sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))
(fma.f64 x z (*.f64 y (+.f64 x z)))
(fma.f64 x y (*.f64 z (+.f64 x y)))
(fma.f64 x (+.f64 y z) (*.f64 y z))
x
z
(*.f64 y (+.f64 x z))
y
(+.f64 x z)
Results
44.0ms256×0valid
Compiler

Compiled 90 to 19 computations (78.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 12.0ms (52.4% of total)
ival-add: 4.0ms (17.5% of total)
ival-sqrt: 4.0ms (17.5% of total)
ival-fma: 3.0ms (13.1% of total)
const: 1.0ms (4.4% of total)
backward-pass: 0.0ms (0% of total)

series72.0ms (0.4%)

Counts
7 → 204
Calls
Call 1
Inputs
#<alt (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x))))>
#<alt (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))>
#<alt (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))>
#<alt (*.f64 z (+.f64 y x))>
#<alt (*.f64 x y)>
#<alt (+.f64 y x)>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))>
Outputs
#<alt (sqrt.f64 (*.f64 y z))>
#<alt (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))))>
#<alt (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 y z) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (+.f64 y z))))))>
#<alt (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (+.f64 y z))) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (+.f64 y z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 y z) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64))))))))))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 y z)))>
#<alt (*.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y z)))) (*.f64 y z)))))>
#<alt (*.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 y z) #s(literal 3 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y z)))) (*.f64 y z))))))>
#<alt (*.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 y z) #s(literal 3 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 (+.f64 y z) #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y z)))) (*.f64 y z)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)))) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))) (*.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) x)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))) (*.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) x)) (sqrt.f64 #s(literal -1 binary64)))))))>
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#<alt (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z))) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (+.f64 y z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 y z) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64))))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (+.f64 y z)))))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 y z) x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y z)))) (*.f64 y z))))>
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#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)))) (sqrt.f64 #s(literal -1 binary64))))>
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#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))>
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#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))))))>
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#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)))) (sqrt.f64 #s(literal -1 binary64))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) #s(literal 5 binary64))))))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) z)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)))))))))))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (*.f64 y (+.f64 x z))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z))) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 y (pow.f64 (+.f64 x z) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (+.f64 x z)))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x z))) (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64))))) (*.f64 y (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (+.f64 x z)))))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (+.f64 x z))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (+.f64 x z) #s(literal 5 binary64))))))) (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 y (+.f64 x z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (+.f64 x z) #s(literal 5 binary64))))))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))))))))>
Calls

57 calls:

TimeVariablePointExpression
18.0ms
x
@-inf
(sqrt (+ (* x y) (* z (+ y x))))
3.0ms
z
@-inf
(sqrt (+ (* x z) (* y (+ x z))))
3.0ms
z
@0
(* 2 (sqrt (+ (* x z) (* y (+ x z)))))
2.0ms
z
@0
(sqrt (+ (* x y) (* z (+ y x))))
2.0ms
x
@-inf
(* 2 (sqrt (+ (* x z) (* y (+ x z)))))

rewrite393.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
897×log1p-expm1-u
897×expm1-log1p-u
880×fma-define
377×fma-neg
138×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022210
1305210
24438210
Stop Event
node limit
Counts
7 → 284
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x))))
(sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))
(+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))
(*.f64 z (+.f64 y x))
(*.f64 x y)
(+.f64 y x)
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))) (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))
(*.f64 (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) (cbrt.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))
(*.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))))
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(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 z (+.f64 x y)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x z)) (*.f64 x z))
(fma.f64 (*.f64 y (sqrt.f64 (+.f64 x z))) (sqrt.f64 (+.f64 x z)) (*.f64 x z))
(fma.f64 (*.f64 (+.f64 x z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 x z))
(fma.f64 (*.f64 (+.f64 x z) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x z))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y (+.f64 x z)))
(fma.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y (+.f64 x z)))
(+.f64 (*.f64 x z) (*.f64 y z))
(+.f64 (*.f64 y z) (*.f64 x z))
(+.f64 (*.f64 (*.f64 y z) #s(literal 1 binary64)) (*.f64 (*.f64 x z) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (+.f64 x y)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (fma.f64 (*.f64 y z) (*.f64 y z) (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 (*.f64 y z) (*.f64 x z)))))
(/.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 (*.f64 x z) (*.f64 x z))) (-.f64 (*.f64 y z) (*.f64 x z)))
(/.f64 (*.f64 z (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 z (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (-.f64 y x))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) z) (fma.f64 x (-.f64 x y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) z) (-.f64 y x))
(pow.f64 (*.f64 z (+.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (+.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (+.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (+.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (+.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 z (+.f64 x y))))
(exp.f64 (log.f64 (*.f64 z (+.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 x y))) #s(literal 1 binary64)))
(fma.f64 x z (*.f64 y z))
(fma.f64 y z (*.f64 x z))
(fma.f64 z x (*.f64 y z))
(fma.f64 z y (*.f64 x z))
(fma.f64 #s(literal 1 binary64) (*.f64 x z) (*.f64 y z))
(fma.f64 #s(literal 1 binary64) (*.f64 y z) (*.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) y) (*.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) x) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) z) (*.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) z) (*.f64 y z))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) (*.f64 x z))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) x) (*.f64 y z))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) (*.f64 x z))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) z) (*.f64 y z))
(fma.f64 (*.f64 y z) #s(literal 1 binary64) (*.f64 (*.f64 x z) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 (*.f64 y z))) (cbrt.f64 (*.f64 y z)) (*.f64 x z))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x z)) (cbrt.f64 (*.f64 x z))) (cbrt.f64 (*.f64 x z)) (*.f64 y z))
(fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) (*.f64 x z))
(fma.f64 (sqrt.f64 (*.f64 x z)) (sqrt.f64 (*.f64 x z)) (*.f64 y z))
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 z)) (*.f64 (sqrt.f64 y) (sqrt.f64 z)) (*.f64 x z))
(fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 x z))
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 z)) (*.f64 (sqrt.f64 x) (sqrt.f64 z)) (*.f64 y z))
(fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 x)) (*.f64 (sqrt.f64 z) (sqrt.f64 x)) (*.f64 y z))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 x z))
(fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x z))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 x z))
(fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x z))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 y z))
(fma.f64 (*.f64 x (sqrt.f64 z)) (sqrt.f64 z) (*.f64 y z))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y z))
(fma.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 y x)))
(*.f64 (+.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(*.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y)))
(*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (pow.f64 y #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x (-.f64 x y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x y) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (-.f64 y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(pow.f64 (+.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y))))
(cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x y)))
(log1p.f64 (expm1.f64 (+.f64 x y)))
(exp.f64 (log.f64 (+.f64 x y)))
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) y)
(fma.f64 y #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 #s(literal 1 binary64) y x)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 2 binary64))) #s(literal 1 binary64)))

simplify872.0ms (5.3%)

Algorithm
egg-herbie
Rules
825×fma-define
529×distribute-lft-in
515×distribute-rgt-in
358×*-commutative
320×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0102532030
1297631060
2764631060
Stop Event
node limit
Counts
488 → 675
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 y z))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 y z) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (+.f64 y z))))))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (+.f64 y z))) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (+.f64 y z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 y z) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64))))))))))))
(sqrt.f64 (*.f64 x (+.f64 y z)))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y z)))) (*.f64 y z)))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 y z) #s(literal 3 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y z)))) (*.f64 y z))))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 y z) #s(literal 3 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 (+.f64 y z) #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y z)))) (*.f64 y z)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)))) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))) (*.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) x)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))) (*.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) x)) (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))) (*.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) x)) (sqrt.f64 #s(literal -1 binary64))))))))
(sqrt.f64 (*.f64 x z))
(+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (*.f64 y (+.f64 x z)))))
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(fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) (*.f64 x z))
(fma.f64 (sqrt.f64 (*.f64 x z)) (sqrt.f64 (*.f64 x z)) (*.f64 y z))
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 z)) (*.f64 (sqrt.f64 y) (sqrt.f64 z)) (*.f64 x z))
(fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 x z))
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 z)) (*.f64 (sqrt.f64 x) (sqrt.f64 z)) (*.f64 y z))
(fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 x)) (*.f64 (sqrt.f64 z) (sqrt.f64 x)) (*.f64 y z))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 x z))
(fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x z))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 x z))
(fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x z))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 y z))
(fma.f64 (*.f64 x (sqrt.f64 z)) (sqrt.f64 z) (*.f64 y z))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y z))
(fma.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 y x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 y x)))
(*.f64 (+.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(*.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y)))
(*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (pow.f64 y #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x (-.f64 x y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x y) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (-.f64 y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(pow.f64 (+.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y))))
(cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x y)))
(log1p.f64 (expm1.f64 (+.f64 x y)))
(exp.f64 (log.f64 (+.f64 x y)))
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) y)
(fma.f64 y #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 #s(literal 1 binary64) y x)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 2 binary64))) #s(literal 1 binary64)))
Outputs
(sqrt.f64 (*.f64 y z))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))) (sqrt.f64 (*.f64 y z)))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 y z) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (+.f64 y z))))))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 y z) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))))))
(fma.f64 x (fma.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (+.f64 y z))) (sqrt.f64 (*.f64 y z)))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (+.f64 y z))) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (+.f64 y z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 y z) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64))))))))))))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))) (*.f64 x (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 y z) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64))))))))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 y z) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64)))))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (+.f64 y z))) (sqrt.f64 (*.f64 y z)))
(sqrt.f64 (*.f64 x (+.f64 y z)))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y z)))) (*.f64 y z)))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y z) (pow.f64 x #s(literal 3 binary64)))))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y z) (pow.f64 x #s(literal 3 binary64)))))) (sqrt.f64 (/.f64 (+.f64 y z) x))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 y z) #s(literal 3 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y z)))) (*.f64 y z))))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y z) (pow.f64 x #s(literal 3 binary64))))))))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 (+.f64 y z) #s(literal 3 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y z) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 y z)))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 y z) #s(literal 3 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 (+.f64 y z) #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y z)))) (*.f64 y z)))))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 (+.f64 y z) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y z) (pow.f64 x #s(literal 3 binary64)))))))))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 (+.f64 y z) #s(literal 3 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))) (pow.f64 (+.f64 y z) #s(literal 5 binary64))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y z) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 y z))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)))) (sqrt.f64 #s(literal -1 binary64))))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 #s(literal -1 binary64) (+.f64 y z)))) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (*.f64 x (-.f64 (neg.f64 y) z))) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))) (*.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) x)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -1 binary64) (+.f64 y z))))) (*.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 y z)) x)))))
(*.f64 x (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (neg.f64 y) z))) (*.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (-.f64 (neg.f64 y) z) x))))))
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(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(neg.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (neg.f64 (-.f64 y x))))
(pow.f64 (+.f64 x y) #s(literal 1 binary64))
(+.f64 y x)
(pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64))
(+.f64 y x)
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 y x)
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))
(+.f64 y x)
(sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)))
(fabs.f64 (+.f64 y x))
(log.f64 (exp.f64 (+.f64 x y)))
(+.f64 y x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y))))
(+.f64 y x)
(cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))
(+.f64 y x)
(expm1.f64 (log1p.f64 (+.f64 x y)))
(expm1.f64 (log1p.f64 (+.f64 y x)))
(log1p.f64 (expm1.f64 (+.f64 x y)))
(+.f64 y x)
(exp.f64 (log.f64 (+.f64 x y)))
(+.f64 y x)
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64)))
(+.f64 y x)
(fma.f64 x #s(literal 1 binary64) y)
(+.f64 y x)
(fma.f64 y #s(literal 1 binary64) x)
(+.f64 y x)
(fma.f64 #s(literal 1 binary64) x y)
(+.f64 y x)
(fma.f64 #s(literal 1 binary64) y x)
(+.f64 y x)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
(+.f64 y x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) x)
(+.f64 y x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y)
(+.f64 y x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) y)
(+.f64 y x)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(+.f64 y x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(+.f64 y x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x)))))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z)))))))
(pow.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z)))))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 2 binary64))) #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z)))))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z)))))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z)))))
(sqrt.f64 (*.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 4 binary64)))
(sqrt.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y x (*.f64 z (+.f64 y x)))))
(sqrt.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y z (*.f64 x (+.f64 y z)))))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 2 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z)))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x)))))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z)))))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y z (*.f64 x (+.f64 y z)))))

eval470.0ms (2.9%)

Compiler

Compiled 17614 to 9021 computations (48.8% saved)

prune366.0ms (2.2%)

Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New65817675
Fresh000
Picked202
Done000
Total66017677
Accuracy
84.9%
Counts
677 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.6%
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
44.6%
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))
37.5%
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))
70.0%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
69.1%
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))) #s(literal 3 binary64)))
37.6%
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))))))
45.0%
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 y x))))))))))
35.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z x))))
70.1%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))) (cbrt.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))))
38.2%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
59.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x (+.f64 y (*.f64 x (/.f64 y z)))))))
3.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
35.1%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
52.1%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z x)))))))
35.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
67.0%
(*.f64 #s(literal 2 binary64) (expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))))
52.7%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 3/2 binary64))))
Compiler

Compiled 616 to 402 computations (34.7% saved)

localize735.0ms (4.5%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))
cost-diff0
(*.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))) (cbrt.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))
cost-diff0
(sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))) (cbrt.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))))
cost-diff0
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))) (cbrt.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))))
accuracy84.4%
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))
accuracy84.1%
(cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))
accuracy83.9%
(sqrt.f64 (*.f64 y z))
accuracy83.3%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))
Rules
1060×fma-define
838×distribute-lft-in
832×distribute-rgt-in
439×associate-+r+
407×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0531761
11191753
22591747
36481747
417951747
534151747
643661747
746811747
846921747
947481747
1047831747
1165071747
1277921747
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))) (cbrt.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))) (cbrt.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))) (cbrt.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))
(*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))
(sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))
(fma.f64 z (+.f64 x y) (*.f64 x y))
z
(+.f64 x y)
x
y
(*.f64 x y)
(cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))
(cbrt.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 y x))
(*.f64 y x)
y
x
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 z (+.f64 y x)))
(*.f64 z (+.f64 y x))
z
(+.f64 y x)
y
x
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))))))
#s(literal 2 binary64)
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))))))
(sqrt.f64 (*.f64 y z))
(*.f64 y z)
y
z
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))))
#s(literal 1/2 binary64)
(*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))))
x
(*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))
(+.f64 y z)
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))
z
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))
#s(literal 2 binary64)
(sqrt.f64 (/.f64 (+.f64 x y) z))
(/.f64 (+.f64 x y) z)
(+.f64 x y)
x
y
(*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))
(*.f64 x y)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))
#s(literal 1 binary64)
(*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))
(pow.f64 z #s(literal 3 binary64))
#s(literal 3 binary64)
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))) (cbrt.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) (*.f64 (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) (cbrt.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (sqrt.f64 (fma.f64 z y (*.f64 x (+.f64 z y)))) (*.f64 (cbrt.f64 (fma.f64 z y (*.f64 x (+.f64 z y)))) (cbrt.f64 (sqrt.f64 (fma.f64 z y (*.f64 x (+.f64 z y)))))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 z x (*.f64 y (+.f64 z x)))) (cbrt.f64 (fma.f64 z x (*.f64 y (+.f64 z x))))) (cbrt.f64 (sqrt.f64 (fma.f64 z x (*.f64 y (+.f64 z x))))))))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))) (cbrt.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))))
(sqrt.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) (*.f64 (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) (cbrt.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))))
(sqrt.f64 (*.f64 (sqrt.f64 (fma.f64 z y (*.f64 x (+.f64 z y)))) (*.f64 (cbrt.f64 (fma.f64 z y (*.f64 x (+.f64 z y)))) (cbrt.f64 (sqrt.f64 (fma.f64 z y (*.f64 x (+.f64 z y))))))))
(sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 z x (*.f64 y (+.f64 z x)))) (cbrt.f64 (fma.f64 z x (*.f64 y (+.f64 z x))))) (cbrt.f64 (sqrt.f64 (fma.f64 z x (*.f64 y (+.f64 z x)))))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))) (cbrt.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))
(*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) (*.f64 (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) (cbrt.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))))
(*.f64 (sqrt.f64 (fma.f64 z y (*.f64 x (+.f64 z y)))) (*.f64 (cbrt.f64 (fma.f64 z y (*.f64 x (+.f64 z y)))) (cbrt.f64 (sqrt.f64 (fma.f64 z y (*.f64 x (+.f64 z y)))))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 z x (*.f64 y (+.f64 z x)))) (cbrt.f64 (fma.f64 z x (*.f64 y (+.f64 z x))))) (cbrt.f64 (sqrt.f64 (fma.f64 z x (*.f64 y (+.f64 z x))))))
(*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))
(*.f64 (sqrt.f64 (fma.f64 z y (*.f64 x (+.f64 z y)))) (cbrt.f64 (fma.f64 z y (*.f64 x (+.f64 z y)))))
(*.f64 (sqrt.f64 (fma.f64 z x (*.f64 y (+.f64 z x)))) (cbrt.f64 (fma.f64 z x (*.f64 y (+.f64 z x)))))
(sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))
(sqrt.f64 (fma.f64 z y (*.f64 x (+.f64 z y))))
(sqrt.f64 (fma.f64 z x (*.f64 y (+.f64 z x))))
(fma.f64 z (+.f64 x y) (*.f64 x y))
(fma.f64 z y (*.f64 x (+.f64 z y)))
(fma.f64 z x (*.f64 y (+.f64 z x)))
z
(+.f64 x y)
x
y
(*.f64 x y)
(cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))
(cbrt.f64 (fma.f64 z y (*.f64 x (+.f64 z y))))
(cbrt.f64 (fma.f64 z x (*.f64 y (+.f64 z x))))
(cbrt.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))
(cbrt.f64 (sqrt.f64 (fma.f64 z y (*.f64 x (+.f64 z y)))))
(cbrt.f64 (sqrt.f64 (fma.f64 z x (*.f64 y (+.f64 z x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 y x))
(sqrt.f64 (*.f64 x y))
(*.f64 y x)
(*.f64 x y)
y
x
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y))))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 z (+.f64 y x)))
(sqrt.f64 (*.f64 z (+.f64 x y)))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
z
(+.f64 y x)
(+.f64 x y)
y
x
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))))))
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 z y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 z y) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))))))
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) (*.f64 x (+.f64 z y))) (sqrt.f64 (*.f64 z y))))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) (*.f64 x (+.f64 z y))))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y)) (*.f64 x (+.f64 z y))))
(fma.f64 x (*.f64 (+.f64 z y) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y))))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)) (*.f64 x (*.f64 (+.f64 z y) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))))
#s(literal 2 binary64)
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))))))
(+.f64 (sqrt.f64 (*.f64 z y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 z y) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) (*.f64 x (+.f64 z y))) (sqrt.f64 (*.f64 z y)))
(fma.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) (*.f64 (+.f64 z y) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y)) (*.f64 x (+.f64 z y))) (sqrt.f64 (*.f64 z y)))
(fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (*.f64 (+.f64 z y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z y)))
(sqrt.f64 (*.f64 y z))
(sqrt.f64 (*.f64 z y))
(*.f64 y z)
(*.f64 z y)
y
z
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 z y) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) (*.f64 x (+.f64 z y))))
(*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) (*.f64 (+.f64 z y) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y)) (*.f64 x (+.f64 z y))))
#s(literal 1/2 binary64)
(*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))))
(*.f64 x (*.f64 (+.f64 z y) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) (*.f64 x (+.f64 z y)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y)) (*.f64 x (+.f64 z y)))
x
(*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))
(*.f64 (+.f64 z y) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))
(*.f64 (+.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))))
(*.f64 (+.f64 z y) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y)))
(+.f64 y z)
(+.f64 z y)
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/.f64 #s(literal 1 binary64) (*.f64 z y))
(/.f64 (/.f64 #s(literal 1 binary64) z) y)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))
(*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))))
(*.f64 z (fma.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))))
(*.f64 z (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64)))))))))
z
(+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64)))))))
(fma.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))
#s(literal 2 binary64)
(sqrt.f64 (/.f64 (+.f64 x y) z))
(/.f64 (+.f64 x y) z)
(+.f64 x y)
x
y
(*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))
(*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))
(*.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64)))))))
(*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64)))))))
(*.f64 x y)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))
#s(literal 1 binary64)
(*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))
(*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64)))
(pow.f64 z #s(literal 3 binary64))
#s(literal 3 binary64)
Results
183.0ms133×0valid
258.0ms123×0invalid
Compiler

Compiled 433 to 132 computations (69.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 231.0ms
ival-pow: 77.0ms (33.4% of total)
ival-mult: 59.0ms (25.6% of total)
ival-div: 42.0ms (18.2% of total)
ival-sqrt: 32.0ms (13.9% of total)
ival-add: 9.0ms (3.9% of total)
const: 5.0ms (2.2% of total)
ival-cbrt: 4.0ms (1.7% of total)
ival-fma: 3.0ms (1.3% of total)
backward-pass: 0.0ms (0% of total)

series158.0ms (1%)

Counts
8 → 240
Calls
Call 1
Inputs
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))>
#<alt (sqrt.f64 (*.f64 y z))>
#<alt (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))>
#<alt (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))) (cbrt.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))))>
#<alt (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))) (cbrt.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))))>
#<alt (*.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))) (cbrt.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))>
#<alt (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 3 binary64)))))>
#<alt (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 3 binary64))))) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))))>
#<alt (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 3 binary64))))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 #s(literal 3/8 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 z #s(literal 3 binary64))))))))))>
#<alt (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 3 binary64))))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 x (+.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 z #s(literal 3 binary64))))))) (*.f64 #s(literal 3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 z #s(literal 3 binary64)))))))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 3 binary64)))))>
#<alt (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 3 binary64))))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) y)))>
#<alt (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) y)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 7 binary64)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 3 binary64)))))>
#<alt (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 3 binary64))))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) y)))>
#<alt (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 3 binary64))))) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 z #s(literal 3 binary64))))) y)))))>
#<alt (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 3 binary64))))) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 y (+.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 z #s(literal 3 binary64))))) y)) (*.f64 #s(literal 3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 z #s(literal 3 binary64)))))))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 3 binary64)))))>
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#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 5 binary64))) (*.f64 #s(literal -5 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 5 binary64))) (*.f64 #s(literal -5 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (+.f64 (*.f64 #s(literal 1/72 binary64) (pow.f64 (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 x z) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)))) (/.f64 (*.f64 x z) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)))) #s(literal 2 binary64))) (*.f64 #s(literal 1/12 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 x (*.f64 z (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 4 binary64))))) (*.f64 x (*.f64 z (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 4 binary64))))) #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 10 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))) (*.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64))))) (*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)))))))) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 5 binary64)))))))) y)) (*.f64 #s(literal 1/6 binary64) (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 5 binary64))) (*.f64 #s(literal -5 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 x z) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)))) (/.f64 (*.f64 x z) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))))) y)))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 5 binary64))) (*.f64 #s(literal -5 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 5 binary64))) (*.f64 #s(literal -5 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (+.f64 (*.f64 #s(literal 1/1296 binary64) (pow.f64 (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 x z) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)))) (/.f64 (*.f64 x z) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/72 binary64) (*.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 x (*.f64 z (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 4 binary64))))) (*.f64 x (*.f64 z (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 4 binary64))))) #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 10 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))) (*.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64))))) (*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)))))))) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 x z) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)))) (/.f64 (*.f64 x z) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)))))) (*.f64 #s(literal 1/36 binary64) (+.f64 (*.f64 #s(literal -6 binary64) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 x (*.f64 z (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 4 binary64))))) (*.f64 x (*.f64 z (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))) (*.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64))))) (*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64))))))))) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 10 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 x (*.f64 z (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 4 binary64))))) (*.f64 x (*.f64 z (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 4 binary64))))) #s(literal 3 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 15 binary64)))) (*.f64 #s(literal 6 binary64) (/.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64))))) (*.f64 x (*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64))))) (*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64))))))))) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 5 binary64)))))))))) y)) (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 5 binary64))) (*.f64 #s(literal -5 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (+.f64 (*.f64 #s(literal 1/72 binary64) (pow.f64 (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 x z) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)))) (/.f64 (*.f64 x z) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)))) #s(literal 2 binary64))) (*.f64 #s(literal 1/12 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 x (*.f64 z (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 4 binary64))))) (*.f64 x (*.f64 z (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 4 binary64))))) #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 10 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))) (*.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64))))) (*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)))))))) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 5 binary64))))))))) y)) (*.f64 #s(literal 1/6 binary64) (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 5 binary64))) (*.f64 #s(literal -5 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 x z) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)))) (/.f64 (*.f64 x z) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))))) y)))>
Calls

66 calls:

TimeVariablePointExpression
13.0ms
y
@-inf
(* (sqrt (+ (* z (+ x y)) (* x y))) (cbrt (+ (* z (+ x y)) (* x y))))
11.0ms
z
@0
(sqrt (/ 1 (* (pow z 3) (+ x y))))
9.0ms
z
@0
(* (sqrt (+ (* z (+ x y)) (* x y))) (cbrt (+ (* z (+ x y)) (* x y))))
8.0ms
x
@-inf
(* (sqrt (+ (* z (+ x y)) (* x y))) (cbrt (+ (* z (+ x y)) (* x y))))
6.0ms
x
@0
(* (sqrt (+ (* z (+ x y)) (* x y))) (cbrt (+ (* z (+ x y)) (* x y))))

rewrite226.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
1108×log1p-expm1-u
212×associate-*r*
203×expm1-log1p-u
201×add-cube-cbrt
200×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033619
1491276
26282276
Stop Event
node limit
Counts
8 → 189
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))
(sqrt.f64 (*.f64 y z))
(cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))) (cbrt.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))))
(sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))) (cbrt.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))) (cbrt.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))
(*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))) (cbrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))) (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))
(*.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (neg.f64 (+.f64 x y)))))
(/.f64 (sqrt.f64 (pow.f64 z #s(literal -3 binary64))) (sqrt.f64 (+.f64 x y)))
(pow.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 z y)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z y)))
(*.f64 (sqrt.f64 (*.f64 z y)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z y))) (cbrt.f64 (*.f64 z y)))
(*.f64 (cbrt.f64 (*.f64 z y)) (cbrt.f64 (sqrt.f64 (*.f64 z y))))
(*.f64 (sqrt.f64 y) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (sqrt.f64 y))
(*.f64 (pow.f64 (*.f64 z y) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 z y))))
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simplify547.0ms (3.3%)

Algorithm
egg-herbie
Rules
835×*-commutative
461×associate-+r+
364×+-commutative
284×associate-*r*
266×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0194542949722621
1609742949720779
Stop Event
node limit
Counts
429 → 734
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 3 binary64)))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 3 binary64))))) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 3 binary64))))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 #s(literal 3/8 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 z #s(literal 3 binary64))))))))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 3 binary64))))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 x (+.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 z #s(literal 3 binary64))))))) (*.f64 #s(literal 3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 z #s(literal 3 binary64)))))))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 3 binary64)))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 3 binary64))))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) y)))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) y)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 7 binary64)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 3 binary64)))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 3 binary64))))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) y)))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 3 binary64))))) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 z #s(literal 3 binary64))))) y)))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 3 binary64))))) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 y (+.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 z #s(literal 3 binary64))))) y)) (*.f64 #s(literal 3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 z #s(literal 3 binary64)))))))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 3 binary64)))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 3 binary64))))) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 z #s(literal 3 binary64)))))))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 7 binary64)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 z #s(literal 3 binary64))))))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 z #s(literal 3 binary64))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(cbrt.f64 (*.f64 x y))
(+.f64 (cbrt.f64 (*.f64 x y)) (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/9 binary64)) (*.f64 z (+.f64 x y)))))
(+.f64 (cbrt.f64 (*.f64 x y)) (*.f64 z (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 7 binary64)))) #s(literal 1/9 binary64)) (*.f64 z (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/9 binary64)) (+.f64 x y))))))
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(cbrt.f64 (*.f64 z (+.f64 x y)))
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(*.f64 z (+.f64 (cbrt.f64 (/.f64 (+.f64 x y) (pow.f64 z #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 23 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -2/9 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 4 binary64)))) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (*.f64 #s(literal 1/27 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 4 binary64)))) (pow.f64 (+.f64 x y) #s(literal 2 binary64))))))) (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 (+.f64 x y) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x y) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 z (+.f64 x y))) (cbrt.f64 #s(literal -1 binary64))))
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(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 5/6 binary64)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 3/2 binary64)) (fma.f64 z (+.f64 x y) (*.f64 x y))))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 5/6 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 5/6 binary64))))
(exp.f64 (log.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 5/6 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 5/6 binary64))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 3 binary64)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y)))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 3 binary64))))) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y))) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y))) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 3 binary64))))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 #s(literal 3/8 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 z #s(literal 3 binary64))))))))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y))) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (*.f64 #s(literal 3/8 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 5 binary64)))))))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y))) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal 3/8 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 5 binary64))))))))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 3 binary64))))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 x (+.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 z #s(literal 3 binary64))))))) (*.f64 #s(literal 3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 z #s(literal 3 binary64)))))))))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y))) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 x (fma.f64 #s(literal -5/16 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 7 binary64)))))) (*.f64 #s(literal 3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 5 binary64)))))))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 3 binary64)))))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 3 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) x)))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 3 binary64))))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) y)))
(+.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64)))))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) x))) (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))) (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) x))) (fma.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))) (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) y)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 7 binary64)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 y #s(literal 2 binary64)))))))
(+.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 7 binary64)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))) (pow.f64 y #s(literal 2 binary64)))))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) x))) (fma.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 7 binary64)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))) (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 3 binary64)))))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) x))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64))))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 3 binary64))))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) x)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 3 binary64)))))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) x))))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64))))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 3 binary64)))))))
(-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) x))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))) (pow.f64 x #s(literal 3 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 3 binary64)))))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 3 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) x)))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 3 binary64))))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) y)))
(+.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 z #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64)))))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) x))) (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))))
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(cbrt.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 3/2 binary64)))
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 z y) (*.f64 z y)) #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))
(sqrt.f64 (fma.f64 x (+.f64 z y) (*.f64 z y)))
(fabs.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))
(sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))
(sqrt.f64 (fma.f64 x (+.f64 z y) (*.f64 z y)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))
(sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))
(sqrt.f64 (fma.f64 x (+.f64 z y) (*.f64 z y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))))
(sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))
(sqrt.f64 (fma.f64 x (+.f64 z y) (*.f64 z y)))
(cbrt.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 3/2 binary64)))
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 z y) (*.f64 z y)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (+.f64 z y) (*.f64 z y)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))
(sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))
(sqrt.f64 (fma.f64 x (+.f64 z y) (*.f64 z y)))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))
(sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))
(sqrt.f64 (fma.f64 x (+.f64 z y) (*.f64 z y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))
(sqrt.f64 (fma.f64 x (+.f64 z y) (*.f64 z y)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))
(sqrt.f64 (fma.f64 x (+.f64 z y) (*.f64 z y)))
(+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))
(fma.f64 z (+.f64 x y) (*.f64 x y))
(fma.f64 x (+.f64 z y) (*.f64 z y))
(+.f64 (*.f64 z (+.f64 x y)) (*.f64 x y))
(fma.f64 z (+.f64 x y) (*.f64 x y))
(fma.f64 x (+.f64 z y) (*.f64 z y))
(+.f64 (*.f64 (*.f64 z (+.f64 x y)) #s(literal 1 binary64)) (*.f64 x y))
(fma.f64 z (+.f64 x y) (*.f64 x y))
(fma.f64 x (+.f64 z y) (*.f64 z y))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 z y) (*.f64 z y))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 z (+.f64 x y)) (*.f64 z (+.f64 x y))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 z (+.f64 x y)) (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64))) (-.f64 (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (*.f64 z (*.f64 (+.f64 x y) (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))))
(/.f64 (-.f64 (*.f64 (*.f64 z (+.f64 x y)) (*.f64 z (+.f64 x y))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 (*.f64 z (+.f64 x y)) (*.f64 x y)))
(/.f64 (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 (*.f64 z (+.f64 x y)) (*.f64 x y)))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 (*.f64 z (+.f64 x y)) (*.f64 x y)))
(pow.f64 (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 3 binary64))
(fma.f64 z (+.f64 x y) (*.f64 x y))
(fma.f64 x (+.f64 z y) (*.f64 z y))
(pow.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 2 binary64))
(fma.f64 z (+.f64 x y) (*.f64 x y))
(fma.f64 x (+.f64 z y) (*.f64 z y))
(pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1 binary64))
(fma.f64 z (+.f64 x y) (*.f64 x y))
(fma.f64 x (+.f64 z y) (*.f64 z y))
(pow.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 x (+.f64 z y) (*.f64 z y)))
(pow.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 z (+.f64 x y) (*.f64 x y))
(fma.f64 x (+.f64 z y) (*.f64 z y))
(sqrt.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 x (+.f64 z y) (*.f64 z y)))
(log.f64 (exp.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))
(fma.f64 z (+.f64 x y) (*.f64 x y))
(fma.f64 x (+.f64 z y) (*.f64 z y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))
(fma.f64 z (+.f64 x y) (*.f64 x y))
(fma.f64 x (+.f64 z y) (*.f64 z y))
(cbrt.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 3 binary64)))
(fma.f64 z (+.f64 x y) (*.f64 x y))
(fma.f64 x (+.f64 z y) (*.f64 z y))
(cbrt.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) (pow.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 5/6 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (sqrt.f64 (fma.f64 x (+.f64 z y) (*.f64 z y))) (pow.f64 (pow.f64 (fma.f64 x (+.f64 z y) (*.f64 z y)) #s(literal 5/6 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 z y) (*.f64 z y))))
(log1p.f64 (expm1.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))
(fma.f64 z (+.f64 x y) (*.f64 x y))
(fma.f64 x (+.f64 z y) (*.f64 z y))
(exp.f64 (log.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))
(fma.f64 z (+.f64 x y) (*.f64 x y))
(fma.f64 x (+.f64 z y) (*.f64 z y))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 1 binary64)))
(fma.f64 z (+.f64 x y) (*.f64 x y))
(fma.f64 x (+.f64 z y) (*.f64 z y))
(fma.f64 z (+.f64 x y) (*.f64 x y))
(fma.f64 x (+.f64 z y) (*.f64 z y))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 5/6 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 5/6 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x (+.f64 z y) (*.f64 z y)) #s(literal 5/6 binary64))))
(pow.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 5/6 binary64)) #s(literal 1 binary64))
(pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 5/6 binary64))
(pow.f64 (fma.f64 x (+.f64 z y) (*.f64 z y)) #s(literal 5/6 binary64))
(pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 5/6 binary64))
(pow.f64 (fma.f64 x (+.f64 z y) (*.f64 z y)) #s(literal 5/6 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 5/6 binary64))) #s(literal 3 binary64))
(pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 5/6 binary64))
(pow.f64 (fma.f64 x (+.f64 z y) (*.f64 z y)) #s(literal 5/6 binary64))
(pow.f64 (pow.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 5/6 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 5/6 binary64))
(pow.f64 (fma.f64 x (+.f64 z y) (*.f64 z y)) #s(literal 5/6 binary64))
(pow.f64 (sqrt.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 5/6 binary64))) #s(literal 2 binary64))
(pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 5/6 binary64))
(pow.f64 (fma.f64 x (+.f64 z y) (*.f64 z y)) #s(literal 5/6 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 5/6 binary64)) #s(literal 2 binary64)))
(fabs.f64 (pow.f64 (fma.f64 x (+.f64 z y) (*.f64 z y)) #s(literal 5/6 binary64)))
(log.f64 (exp.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 5/6 binary64))))
(pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 5/6 binary64))
(pow.f64 (fma.f64 x (+.f64 z y) (*.f64 z y)) #s(literal 5/6 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 5/6 binary64)))))
(pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 5/6 binary64))
(pow.f64 (fma.f64 x (+.f64 z y) (*.f64 z y)) #s(literal 5/6 binary64))
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 5/6 binary64)) #s(literal 3 binary64)))
(pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 5/6 binary64))
(pow.f64 (fma.f64 x (+.f64 z y) (*.f64 z y)) #s(literal 5/6 binary64))
(cbrt.f64 (*.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 3/2 binary64))))
(cbrt.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 5/2 binary64)))
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 z y) (*.f64 z y)) #s(literal 5/2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 3/2 binary64)) (fma.f64 z (+.f64 x y) (*.f64 x y))))
(cbrt.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 5/2 binary64)))
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 z y) (*.f64 z y)) #s(literal 5/2 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 5/6 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x (+.f64 z y) (*.f64 z y)) #s(literal 5/6 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 5/6 binary64))))
(pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 5/6 binary64))
(pow.f64 (fma.f64 x (+.f64 z y) (*.f64 z y)) #s(literal 5/6 binary64))
(exp.f64 (log.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 5/6 binary64))))
(pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 5/6 binary64))
(pow.f64 (fma.f64 x (+.f64 z y) (*.f64 z y)) #s(literal 5/6 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 5/6 binary64))) #s(literal 1 binary64)))
(pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 5/6 binary64))
(pow.f64 (fma.f64 x (+.f64 z y) (*.f64 z y)) #s(literal 5/6 binary64))

eval540.0ms (3.3%)

Compiler

Compiled 44982 to 25803 computations (42.6% saved)

prune244.0ms (1.5%)

Pruning

21 alts after pruning (18 fresh and 3 done)

PrunedKeptTotal
New7259734
Fresh3912
Picked235
Done000
Total73021751
Accuracy
84.9%
Counts
751 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.6%
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
45.4%
(*.f64 (neg.f64 z) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))))))
44.6%
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))))
37.5%
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))
70.0%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
69.1%
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))) #s(literal 3 binary64)))
50.3%
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))))))
37.7%
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z y)))) #s(literal 3 binary64)))))))
1.4%
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (sqrt.f64 (neg.f64 z))))))))
37.6%
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))))))
35.2%
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) z) (+.f64 x y)))))
35.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z x))))
35.3%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) (cbrt.f64 (*.f64 x y))) (cbrt.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))))
38.2%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
59.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x (+.f64 y (*.f64 x (/.f64 y z)))))))
3.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
35.1%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
52.1%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 (+.f64 z y) (*.f64 y (/.f64 z x))))))
35.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
67.0%
(*.f64 #s(literal 2 binary64) (expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))))
52.7%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 3/2 binary64))))
Compiler

Compiled 762 to 512 computations (32.8% saved)

localize589.0ms (3.6%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff6528
(pow.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
cost-diff6528
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
cost-diff12800
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))
cost-diff12800
(*.f64 #s(literal 2 binary64) (expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))))
accuracy92.2%
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))
accuracy91.5%
(sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))
accuracy91.5%
(sqrt.f64 (*.f64 x (+.f64 (+.f64 z y) (*.f64 y (/.f64 z x)))))
accuracy91.4%
(pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64))
Rules
539×fma-define
488×distribute-lft-out
421×distribute-lft-in
402×distribute-rgt-in
370×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0471216
11001170
22131147
35941147
417931147
537441147
664031147
771941147
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
#s(literal 2 binary64)
(pow.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64))
(fma.f64 z (+.f64 x y) (*.f64 x y))
z
(+.f64 x y)
x
y
(*.f64 x y)
#s(literal 1/4 binary64)
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 z x))
(*.f64 z x)
z
x
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 (+.f64 z y) (*.f64 y (/.f64 z x))))))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 x (+.f64 (+.f64 z y) (*.f64 y (/.f64 z x)))))
(*.f64 x (+.f64 (+.f64 z y) (*.f64 y (/.f64 z x))))
x
(+.f64 (+.f64 z y) (*.f64 y (/.f64 z x)))
(+.f64 z y)
z
y
(*.f64 y (/.f64 z x))
(/.f64 z x)
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))))))
#s(literal 2 binary64)
(+.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))))))
(*.f64 (sqrt.f64 z) (sqrt.f64 y))
(sqrt.f64 z)
z
(sqrt.f64 y)
y
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))))
#s(literal 1/2 binary64)
(*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))))
x
(*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))
(+.f64 y z)
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
(*.f64 #s(literal 2 binary64) (expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))))
#s(literal 2 binary64)
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))
(log1p.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))
(sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))
(fma.f64 z (+.f64 x y) (*.f64 x y))
z
(+.f64 x y)
x
y
(*.f64 x y)
Outputs
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z x (*.f64 y (+.f64 z x)))))
#s(literal 2 binary64)
(pow.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))
(sqrt.f64 (fma.f64 z x (*.f64 y (+.f64 z x))))
(pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64))
(pow.f64 (fma.f64 z x (*.f64 y (+.f64 z x))) #s(literal 1/4 binary64))
(fma.f64 z (+.f64 x y) (*.f64 x y))
(fma.f64 z x (*.f64 y (+.f64 z x)))
z
(+.f64 x y)
x
y
(*.f64 x y)
#s(literal 1/4 binary64)
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 z x))
(*.f64 z x)
z
x
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 (+.f64 z y) (*.f64 y (/.f64 z x))))))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z x (*.f64 y (+.f64 z x)))))
#s(literal 2 binary64)
(sqrt.f64 (*.f64 x (+.f64 (+.f64 z y) (*.f64 y (/.f64 z x)))))
(pow.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))
(sqrt.f64 (fma.f64 z x (*.f64 y (+.f64 z x))))
(*.f64 x (+.f64 (+.f64 z y) (*.f64 y (/.f64 z x))))
(fma.f64 z (+.f64 x y) (*.f64 x y))
(fma.f64 z x (*.f64 y (+.f64 z x)))
x
(+.f64 (+.f64 z y) (*.f64 y (/.f64 z x)))
(+.f64 z (+.f64 y (*.f64 y (/.f64 z x))))
(fma.f64 y (/.f64 z x) (+.f64 z y))
(fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z)
(fma.f64 y (+.f64 (/.f64 z x) #s(literal 1 binary64)) z)
(+.f64 z y)
z
y
(*.f64 y (/.f64 z x))
(*.f64 z (/.f64 y x))
(/.f64 z x)
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))))))
(*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 z) (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 z y) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))))))
(*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 z) (sqrt.f64 y) (*.f64 x (*.f64 (*.f64 (+.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)))) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 x (*.f64 (+.f64 z y) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))))
(fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (*.f64 x (+.f64 z y)) (*.f64 (sqrt.f64 y) (*.f64 #s(literal 2 binary64) (sqrt.f64 z))))
(fma.f64 x (*.f64 (+.f64 z y) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 y))))
#s(literal 2 binary64)
(+.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))))))
(fma.f64 (sqrt.f64 z) (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 z y) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))))))
(fma.f64 (sqrt.f64 z) (sqrt.f64 y) (*.f64 x (*.f64 (*.f64 (+.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)))) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 x (+.f64 z y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))) (*.f64 (sqrt.f64 z) (sqrt.f64 y)))
(fma.f64 x (*.f64 (+.f64 z y) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))) (*.f64 (sqrt.f64 z) (sqrt.f64 y)))
(*.f64 (sqrt.f64 z) (sqrt.f64 y))
(sqrt.f64 z)
z
(sqrt.f64 y)
y
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 z y) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))))
(*.f64 x (*.f64 (*.f64 (+.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)))) #s(literal 1/2 binary64)))
(*.f64 x (*.f64 (+.f64 z y) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))))
#s(literal 1/2 binary64)
(*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))))
(*.f64 x (*.f64 (+.f64 z y) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))))
(*.f64 x (*.f64 (+.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)))))
(*.f64 (+.f64 z y) (*.f64 x (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))))
x
(*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))
(*.f64 (+.f64 z y) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))
(*.f64 (+.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))))
(+.f64 y z)
(+.f64 z y)
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/.f64 #s(literal 1 binary64) (*.f64 z y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
(*.f64 #s(literal 2 binary64) (expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z x (*.f64 y (+.f64 z x)))))
#s(literal 2 binary64)
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))
(pow.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))
(sqrt.f64 (fma.f64 z x (*.f64 y (+.f64 z x))))
(log1p.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))
(log1p.f64 (sqrt.f64 (fma.f64 z x (*.f64 y (+.f64 z x)))))
(sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))
(pow.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 z x (*.f64 y (+.f64 z x))))
(fma.f64 z (+.f64 x y) (*.f64 x y))
(fma.f64 z x (*.f64 y (+.f64 z x)))
z
(+.f64 x y)
x
y
(*.f64 x y)
Results
261.0ms188×0invalid
146.0ms68×0valid
Compiler

Compiled 307 to 96 computations (68.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 257.0ms
ival-mult: 157.0ms (61.2% of total)
ival-pow: 28.0ms (10.9% of total)
ival-div: 27.0ms (10.5% of total)
ival-sqrt: 23.0ms (9% of total)
ival-add: 8.0ms (3.1% of total)
const: 4.0ms (1.6% of total)
ival-fma: 3.0ms (1.2% of total)
ival-expm1: 3.0ms (1.2% of total)
ival-log1p: 3.0ms (1.2% of total)
backward-pass: 0.0ms (0% of total)

series228.0ms (1.4%)

Counts
7 → 252
Calls
Call 1
Inputs
#<alt (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64))>
#<alt (sqrt.f64 (*.f64 x (+.f64 (+.f64 z y) (*.f64 y (/.f64 z x)))))>
#<alt (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))>
#<alt (*.f64 #s(literal 2 binary64) (expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))))>
#<alt (expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))>
#<alt (pow.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) #s(literal 2 binary64))>
Outputs
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1/4 binary64))>
#<alt (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1/4 binary64)) (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1/4 binary64)))>
#<alt (+.f64 (*.f64 z (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1/4 binary64)) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1/4 binary64)))>
#<alt (+.f64 (*.f64 z (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))) (*.f64 z (+.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1/4 binary64)) (*.f64 z (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/384 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) (*.f64 #s(literal 1/12 binary64) (/.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))))) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1/4 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))))))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1/4 binary64)))>
#<alt (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x y)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z))))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x y)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (*.f64 y (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x y)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z)))))))) (*.f64 z (+.f64 x y)))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x y)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (*.f64 y (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x y)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z)))))))) (*.f64 z (+.f64 x y)))) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x y)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x y)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (*.f64 y (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x y)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z)))))))) (*.f64 z (+.f64 x y)))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x y)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64))) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x y)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z)))))) (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (+.f64 x y) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/384 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (+.f64 x y) #s(literal 3 binary64)))) (*.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (pow.f64 z #s(literal 3 binary64))))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (+.f64 x y) #s(literal 5 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
#<alt (sqrt.f64 (*.f64 y z))>
#<alt (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))))>
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#<alt (sqrt.f64 (*.f64 x (+.f64 y z)))>
#<alt (*.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y z)))) (*.f64 y z)))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)))) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))) (*.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) x)) (sqrt.f64 #s(literal -1 binary64))))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))) (*.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) x)) (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (sqrt.f64 (*.f64 x z))>
#<alt (+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (*.f64 y (+.f64 x z)))))>
#<alt (+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 y (pow.f64 (+.f64 x z) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (+.f64 x z))))))>
#<alt (+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (+.f64 x z))) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64))))) (*.f64 y (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))))))>
#<alt (sqrt.f64 (*.f64 y (+.f64 x z)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (+.f64 x z) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)))) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) y)) (sqrt.f64 #s(literal -1 binary64))))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 5 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) y)) (sqrt.f64 #s(literal -1 binary64))))))))>
Calls

63 calls:

TimeVariablePointExpression
6.0ms
y
@-inf
(* 2 (- (exp (log (+ 1 (sqrt (+ (* z (+ x y)) (* x y)))))) 1))
4.0ms
x
@-inf
(sqrt (* x (+ (+ z y) (* y (/ z x)))))
2.0ms
y
@-inf
(pow (+ (* z (+ x y)) (* x y)) 1/4)
2.0ms
x
@-inf
(pow (+ (* z (+ x y)) (* x y)) 1/4)
2.0ms
y
@inf
(pow (+ (* z (+ x y)) (* x y)) 1/4)

rewrite228.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
1242×log1p-expm1-u
376×expm1-log1p-u
167×add-exp-log
167×add-log-exp
167×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029307
1395303
25518303
Stop Event
node limit
Counts
7 → 158
Calls
Call 1
Inputs
(pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64))
(sqrt.f64 (*.f64 x (+.f64 (+.f64 z y) (*.f64 y (/.f64 z x)))))
(sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))
(*.f64 #s(literal 2 binary64) (expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))) (cbrt.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64))) (cbrt.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))
(*.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))))
(sqrt.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))
(fabs.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)))
(log.f64 (exp.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 3/4 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64))))
(exp.f64 (log.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x (fma.f64 y (/.f64 z x) (+.f64 z y)))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 x (fma.f64 y (/.f64 z x) (+.f64 z y)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x (fma.f64 y (/.f64 z x) (+.f64 z y)))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (fma.f64 y (/.f64 z x) (+.f64 z y))))) (cbrt.f64 (*.f64 x (fma.f64 y (/.f64 z x) (+.f64 z y)))))
(*.f64 (cbrt.f64 (*.f64 x (fma.f64 y (/.f64 z x) (+.f64 z y)))) (cbrt.f64 (sqrt.f64 (*.f64 x (fma.f64 y (/.f64 z x) (+.f64 z y))))))
(*.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 y (/.f64 z x) (+.f64 z y))))
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(/.f64 (-.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))
(fabs.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))))
(cbrt.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))) #s(literal 1 binary64)))

simplify526.0ms (3.2%)

Algorithm
egg-herbie
Rules
782×distribute-lft-in
773×distribute-rgt-in
532×*-commutative
351×associate-+r+
283×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0118349832
1382147833
Stop Event
node limit
Counts
410 → 457
Calls
Call 1
Inputs
(pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1/4 binary64))
(+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1/4 binary64)) (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1/4 binary64)))
(+.f64 (*.f64 z (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1/4 binary64)) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1/4 binary64)))
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(pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/4 binary64))
(+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/4 binary64)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/4 binary64)))
(+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/4 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/4 binary64)))
(+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))) (*.f64 x (+.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/4 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/384 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64))) (*.f64 #s(literal 1/12 binary64) (/.f64 (pow.f64 (+.f64 y z) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))))) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/4 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))))))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/4 binary64)))
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(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))) #s(literal 1 binary64)))
(+.f64 (+.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 1 binary64)) #s(literal -1 binary64))
(-.f64 (+.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))) (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) (cbrt.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))
(*.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/8 binary64))) (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))
(*.f64 (*.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) (cbrt.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))) (cbrt.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64))))
(/.f64 (-.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))
(fabs.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))))
(cbrt.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))) #s(literal 1 binary64)))
Outputs
(pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 x y) #s(literal 1/4 binary64))
(+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1/4 binary64)) (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1/4 binary64)))
(fma.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))) (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)))
(+.f64 (*.f64 z (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1/4 binary64)) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1/4 binary64)))
(fma.f64 z (fma.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))) (*.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) z) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))))) (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)))
(fma.f64 z (fma.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))) (*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (*.f64 z (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))))))) (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)))
(+.f64 (*.f64 z (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))) (*.f64 z (+.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1/4 binary64)) (*.f64 z (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/384 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) (*.f64 #s(literal 1/12 binary64) (/.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))))) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1/4 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))))))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1/4 binary64)))
(fma.f64 z (fma.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))) (*.f64 z (*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (+.f64 (*.f64 z (fma.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (fma.f64 #s(literal 1/384 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) (*.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))))))) (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)))
(fma.f64 z (fma.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))) (*.f64 z (*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)))) (*.f64 z (fma.f64 #s(literal -1/32 binary64) (*.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (fma.f64 #s(literal 1/384 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) (*.f64 #s(literal 1/12 binary64) (/.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))))))))) (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x y)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z))))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (+.f64 x y)) (neg.f64 (neg.f64 (log.f64 z)))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)))
(+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x y)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (*.f64 y (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x y)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z)))))))) (*.f64 z (+.f64 x y)))))
(+.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (+.f64 x y)) (neg.f64 (neg.f64 (log.f64 z))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 x y) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (+.f64 x y)) (neg.f64 (neg.f64 (log.f64 z)))))) (*.f64 z (+.f64 x y)))))
(+.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (+.f64 x y)) (log.f64 z))) (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 (/.f64 y z) (/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (+.f64 x y)) (log.f64 z))) (+.f64 x y))))))
(+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x y)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (*.f64 y (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x y)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z)))))))) (*.f64 z (+.f64 x y)))) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x y)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) z)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))))) (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (+.f64 x y)) (neg.f64 (neg.f64 (log.f64 z))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 x y) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (+.f64 x y)) (neg.f64 (neg.f64 (log.f64 z)))))) (*.f64 z (+.f64 x y))) (*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (+.f64 x y)) (neg.f64 (neg.f64 (log.f64 z))))) (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) #s(literal -3/32 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(+.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (+.f64 x y)) (log.f64 z))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 (/.f64 y z) (/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (+.f64 x y)) (log.f64 z))) (+.f64 x y)))) (*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (+.f64 x y)) (log.f64 z))) (/.f64 (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) #s(literal -3/32 binary64)) (pow.f64 z #s(literal 2 binary64))))))
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eval306.0ms (1.9%)

Compiler

Compiled 21338 to 13005 computations (39.1% saved)

prune129.0ms (0.8%)

Pruning

31 alts after pruning (26 fresh and 5 done)

PrunedKeptTotal
New48016496
Fresh31013
Picked325
Done033
Total48631517
Accuracy
98.4%
Counts
517 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.6%
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
44.6%
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))))
37.5%
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))
37.5%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
3.7%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
34.9%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
44.0%
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64)))
46.4%
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) #s(literal 2 binary64)))
1.8%
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (+.f64 x y))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z)))))) #s(literal 2 binary64)))
69.1%
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))) #s(literal 3 binary64)))
51.2%
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 z)))))))
50.3%
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))))))
1.4%
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (sqrt.f64 (neg.f64 z))))))))
37.6%
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))))))
1.3%
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x z))) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))))
28.5%
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x y))) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))))
10.1%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (fma.f64 y (/.f64 z x) (+.f64 z y))) (sqrt.f64 x)))
37.7%
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sqrt.f64 (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) z))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 y x)))))))))
17.4%
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 (sqrt.f64 (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) y))) (*.f64 #s(literal 1/2 binary64) (*.f64 z (sqrt.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 z x)))))))))
35.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z x))))
35.3%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) (cbrt.f64 (*.f64 x y))) (cbrt.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))))
33.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
38.2%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
59.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x (+.f64 y (*.f64 x (/.f64 y z)))))))
3.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
35.1%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
35.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
25.8%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))))
36.4%
(*.f64 #s(literal 2 binary64) (expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (+.f64 x y))))))
66.6%
(*.f64 #s(literal 2 binary64) (expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 y (+.f64 x z))))))
52.7%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 3/2 binary64))))
Compiler

Compiled 1104 to 787 computations (28.7% saved)

localize1.3s (7.7%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff12800
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (+.f64 x y)))))
cost-diff12800
(*.f64 #s(literal 2 binary64) (expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (+.f64 x y))))))
cost-diff12864
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))) #s(literal 3 binary64))
cost-diff12864
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))) #s(literal 3 binary64)))
accuracy85.3%
(pow.f64 (*.f64 x y) #s(literal 1/4 binary64))
accuracy84.5%
(sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))
accuracy84.0%
(sqrt.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 z x))))
accuracy83.9%
(sqrt.f64 (*.f64 y z))
Rules
1144×fma-define
964×associate-/r*
677×times-frac
595×associate-+r-
445×distribute-lft-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0481331
11001307
22051292
34241274
48391198
515841198
632301198
748481198
859461198
965481198
1068381198
1169081198
1269081198
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))) #s(literal 3 binary64)))
#s(literal 2 binary64)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))) #s(literal 3 binary64))
(cbrt.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))
(sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))
(fma.f64 z (+.f64 x y) (*.f64 x y))
z
(+.f64 x y)
x
y
(*.f64 x y)
#s(literal 3 binary64)
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 y z))
(*.f64 y z)
y
z
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
#s(literal 2 binary64)
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x y) #s(literal 1/4 binary64))
(*.f64 x y)
x
y
#s(literal 1/4 binary64)
(*.f64 #s(literal 2 binary64) (expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (+.f64 x y))))))
#s(literal 2 binary64)
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (+.f64 x y)))))
(log1p.f64 (sqrt.f64 (*.f64 z (+.f64 x y))))
(sqrt.f64 (*.f64 z (+.f64 x y)))
(*.f64 z (+.f64 x y))
z
(+.f64 x y)
x
y
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 (sqrt.f64 (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) y))) (*.f64 #s(literal 1/2 binary64) (*.f64 z (sqrt.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 z x)))))))))
#s(literal 2 binary64)
(*.f64 y (+.f64 (sqrt.f64 (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) y))) (*.f64 #s(literal 1/2 binary64) (*.f64 z (sqrt.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 z x))))))))
y
(+.f64 (sqrt.f64 (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) y))) (*.f64 #s(literal 1/2 binary64) (*.f64 z (sqrt.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 z x)))))))
(sqrt.f64 (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) y)))
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) y))
x
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) y)
(+.f64 #s(literal 1 binary64) (/.f64 z x))
#s(literal 1 binary64)
(/.f64 z x)
z
(*.f64 #s(literal 1/2 binary64) (*.f64 z (sqrt.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 z x))))))
#s(literal 1/2 binary64)
(*.f64 z (sqrt.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 z x)))))
(sqrt.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 z x))))
(/.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 z x)))
(/.f64 x (pow.f64 y #s(literal 3 binary64)))
(pow.f64 y #s(literal 3 binary64))
#s(literal 3 binary64)
Outputs
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z x (*.f64 y (+.f64 z x)))))
#s(literal 2 binary64)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))) #s(literal 3 binary64))
(sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))
(sqrt.f64 (fma.f64 z x (*.f64 y (+.f64 z x))))
(cbrt.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))
(cbrt.f64 (sqrt.f64 (fma.f64 z x (*.f64 y (+.f64 z x)))))
(sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))
(sqrt.f64 (fma.f64 z x (*.f64 y (+.f64 z x))))
(fma.f64 z (+.f64 x y) (*.f64 x y))
(fma.f64 z x (*.f64 y (+.f64 z x)))
z
(+.f64 x y)
x
y
(*.f64 x y)
#s(literal 3 binary64)
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
(sqrt.f64 (*.f64 y z))
(sqrt.f64 (*.f64 z y))
(*.f64 y z)
(*.f64 z y)
y
z
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x y)))
#s(literal 2 binary64)
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x y) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 x y))
(pow.f64 (*.f64 x y) #s(literal 1/4 binary64))
(*.f64 x y)
x
y
#s(literal 1/4 binary64)
(*.f64 #s(literal 2 binary64) (expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (+.f64 x y))))))
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) #s(literal 0 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x y))))
#s(literal 2 binary64)
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (+.f64 x y)))))
(+.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) #s(literal 0 binary64))
(sqrt.f64 (*.f64 z (+.f64 x y)))
(log1p.f64 (sqrt.f64 (*.f64 z (+.f64 x y))))
(sqrt.f64 (*.f64 z (+.f64 x y)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (+.f64 x y)))))
(+.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) #s(literal 0 binary64))
(*.f64 z (+.f64 x y))
z
(+.f64 x y)
x
y
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 (sqrt.f64 (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) y))) (*.f64 #s(literal 1/2 binary64) (*.f64 z (sqrt.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 z x)))))))))
(*.f64 #s(literal 2 binary64) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 z (sqrt.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 z x))))) (sqrt.f64 (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) y))))))
(*.f64 y (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 z x))))) (sqrt.f64 (/.f64 (fma.f64 x (/.f64 z x) x) y)))))
(*.f64 y (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y)) (*.f64 z (sqrt.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 z x)))))))
(*.f64 y (fma.f64 z (sqrt.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 z x)))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 z x) y)))))
#s(literal 2 binary64)
(*.f64 y (+.f64 (sqrt.f64 (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) y))) (*.f64 #s(literal 1/2 binary64) (*.f64 z (sqrt.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 z x))))))))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 z (sqrt.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 z x))))) (sqrt.f64 (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) y)))))
(*.f64 y (fma.f64 z (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 z x))))) (sqrt.f64 (/.f64 (fma.f64 x (/.f64 z x) x) y))))
(*.f64 y (fma.f64 z (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 z x))))) (sqrt.f64 (/.f64 (+.f64 z x) y))))
y
(+.f64 (sqrt.f64 (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) y))) (*.f64 #s(literal 1/2 binary64) (*.f64 z (sqrt.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 z x)))))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 z (sqrt.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 z x))))) (sqrt.f64 (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) y))))
(fma.f64 z (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 z x))))) (sqrt.f64 (/.f64 (fma.f64 x (/.f64 z x) x) y)))
(fma.f64 z (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 z x))))) (sqrt.f64 (/.f64 (+.f64 z x) y)))
(sqrt.f64 (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) y)))
(sqrt.f64 (/.f64 (fma.f64 x (/.f64 z x) x) y))
(sqrt.f64 (/.f64 (+.f64 z x) y))
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) y))
(/.f64 (fma.f64 x (/.f64 z x) x) y)
(/.f64 (+.f64 z x) y)
x
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) y)
(+.f64 #s(literal 1 binary64) (/.f64 z x))
#s(literal 1 binary64)
(/.f64 z x)
z
(*.f64 #s(literal 1/2 binary64) (*.f64 z (sqrt.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 z x))))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 z x)))) (*.f64 z #s(literal 1/2 binary64)))
(*.f64 z (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 z x))))))
#s(literal 1/2 binary64)
(*.f64 z (sqrt.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 z x)))))
(sqrt.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 z x))))
(/.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 z x)))
(/.f64 x (pow.f64 y #s(literal 3 binary64)))
(pow.f64 y #s(literal 3 binary64))
#s(literal 3 binary64)
Results
747.0ms133×0valid
215.0ms123×0invalid
Compiler

Compiled 344 to 150 computations (56.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 902.0ms
ival-sqrt: 436.0ms (48.4% of total)
ival-div: 172.0ms (19.1% of total)
ival-mult: 115.0ms (12.8% of total)
ival-pow: 87.0ms (9.6% of total)
ival-add: 74.0ms (8.2% of total)
const: 7.0ms (0.8% of total)
ival-fma: 3.0ms (0.3% of total)
ival-log1p: 3.0ms (0.3% of total)
ival-expm1: 2.0ms (0.2% of total)
ival-cbrt: 2.0ms (0.2% of total)
backward-pass: 0.0ms (0% of total)

series297.0ms (1.8%)

Counts
6 → 204
Calls
Call 1
Inputs
#<alt (sqrt.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 z x))))>
#<alt (pow.f64 (*.f64 x y) #s(literal 1/4 binary64))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))) #s(literal 3 binary64)))>
#<alt (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))) #s(literal 3 binary64))>
#<alt (*.f64 #s(literal 2 binary64) (expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (+.f64 x y))))))>
#<alt (expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (+.f64 x y)))))>
Outputs
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) z))))>
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#<alt (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
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#<alt (sqrt.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x)))))>
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#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) z))))>
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#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z y))) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 z y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 z y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 z y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))))))>
#<alt (sqrt.f64 (*.f64 z (+.f64 x y)))>
#<alt (sqrt.f64 (*.f64 z (+.f64 x y)))>
#<alt (sqrt.f64 (*.f64 z (+.f64 x y)))>
#<alt (sqrt.f64 (*.f64 z (+.f64 x y)))>
#<alt (sqrt.f64 (*.f64 z (+.f64 x y)))>
#<alt (sqrt.f64 (*.f64 z (+.f64 x y)))>
#<alt (sqrt.f64 (*.f64 z (+.f64 x y)))>
#<alt (sqrt.f64 (*.f64 z (+.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (*.f64 y z))>
#<alt (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 z y)))))>
#<alt (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 z y))))))>
#<alt (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 z y))) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 5 binary64)))))))))))>
#<alt (sqrt.f64 (*.f64 x z))>
#<alt (*.f64 x (+.f64 (sqrt.f64 (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))) y))))>
#<alt (*.f64 x (+.f64 (sqrt.f64 (/.f64 z x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))) y)))))>
#<alt (*.f64 x (+.f64 (sqrt.f64 (/.f64 z x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 7 binary64)))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))) y))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))) y)) (*.f64 (sqrt.f64 (/.f64 z x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))) y)) (*.f64 (sqrt.f64 (/.f64 z x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 7 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))) y)) (*.f64 (sqrt.f64 (/.f64 z x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
#<alt (sqrt.f64 (*.f64 x z))>
#<alt (+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 z x)) y)))>
#<alt (+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))) y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 z x))))))>
#<alt (+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 z x))) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 5 binary64)))) y)))))))>
#<alt (sqrt.f64 (*.f64 y z))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 z y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 z y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 7 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 z y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 z y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 z y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
Calls

51 calls:

TimeVariablePointExpression
144.0ms
y
@0
(pow (* x y) 1/4)
37.0ms
x
@-inf
(pow (* x y) 1/4)
25.0ms
x
@0
(pow (* x y) 1/4)
20.0ms
y
@-inf
(pow (* x y) 1/4)
12.0ms
x
@-inf
(sqrt (/ (/ x (pow y 3)) (+ 1 (/ z x))))

rewrite187.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
1003×log1p-expm1-u
205×expm1-log1p-u
198×add-exp-log
198×pow1
198×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034210
1492210
26430210
Stop Event
node limit
Counts
6 → 132
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 z x))))
(pow.f64 (*.f64 x y) #s(literal 1/4 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))) #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))) #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) (expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (+.f64 x y))))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (+.f64 x y)))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x))))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x))))))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x))))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x)))))) (/.f64 (/.f64 (cbrt.f64 x) y) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)))))
(*.f64 (/.f64 (/.f64 (cbrt.f64 x) y) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)))) (cbrt.f64 (sqrt.f64 (*.f64 x (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x)))))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 (exp.f64 (neg.f64 (log1p.f64 (/.f64 z x)))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 (exp.f64 (neg.f64 (log1p.f64 (/.f64 z x))))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)))))
(*.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x)))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x)))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 x (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x))))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 (cbrt.f64 x) y) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (/.f64 (cbrt.f64 x) y) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 (/.f64 (cbrt.f64 x) y) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)))) #s(literal 2 binary64))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 x) y) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) (/.f64 (pow.f64 y #s(literal 3 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x))) (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64)))))
(/.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x))))
(/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x)))))
(/.f64 (sqrt.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (neg.f64 (/.f64 z x)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64)))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)))))
(pow.f64 (*.f64 x (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x)))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x)))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x)))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 x (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x))))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 x (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x))))))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x)))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x)))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x)))))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal -3 binary64)))) (log1p.f64 (/.f64 z x)))))
(exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal -3 binary64)))) (log1p.f64 (/.f64 z x))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal -3 binary64)))) (log1p.f64 (/.f64 z x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64))) (cbrt.f64 (sqrt.f64 (*.f64 x y))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x y))) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/8 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1/4 binary64)))
(sqrt.f64 (sqrt.f64 (*.f64 x y)))
(log.f64 (exp.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 x y))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 x y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))
(*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 1 binary64))
(*.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/6 binary64)) (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))
(*.f64 (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/6 binary64))) (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64))) (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))
(*.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))) #s(literal 3 binary64)) (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64))) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 2 binary64))) (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 1 binary64)) (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) (cbrt.f64 (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))) (cbrt.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/6 binary64))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) (cbrt.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)))) (cbrt.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64))))
(sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))
(fabs.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))))
(cbrt.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))
(hypot.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) (sqrt.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 z (+.f64 x y)) #s(literal 4 binary64))))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 z (+.f64 x y)) #s(literal 4 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 z (+.f64 x y)) #s(literal 4 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 z (+.f64 x y)) #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 z (+.f64 x y)) #s(literal 4 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 z (+.f64 x y)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 z (+.f64 x y)))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 (*.f64 z (+.f64 x y)) #s(literal 4 binary64))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 z (+.f64 x y)) #s(literal 4 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 z (+.f64 x y)) #s(literal 4 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (*.f64 z (+.f64 x y)) #s(literal 4 binary64)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 z (+.f64 x y)) #s(literal 4 binary64)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 z (+.f64 x y)) #s(literal 4 binary64)))) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z (+.f64 x y)))) #s(literal -1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z (+.f64 x y)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z (+.f64 x y))))
(*.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 x y)))) (cbrt.f64 (*.f64 z (+.f64 x y))))
(*.f64 (cbrt.f64 (*.f64 z (+.f64 x y))) (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 x y)))))
(*.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 x y)))
(*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 z))
(*.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z (+.f64 x y))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 x y))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 x y))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 z (+.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z (+.f64 x y)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z (+.f64 x y)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z (+.f64 x y))))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z (+.f64 x y)))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z (+.f64 x y)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z (+.f64 x y))))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z (+.f64 x y)))) #s(literal 1 binary64)))
(pow.f64 (*.f64 z (+.f64 x y)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 x y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 z (+.f64 x y)))
(fabs.f64 (sqrt.f64 (*.f64 z (+.f64 x y))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 z (+.f64 x y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 z (+.f64 x y))))))
(cbrt.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3/2 binary64)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 z (+.f64 x y)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 z (+.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (+.f64 x y)))) #s(literal 1 binary64)))

simplify376.0ms (2.3%)

Algorithm
egg-herbie
Rules
633×distribute-lft-in
622×distribute-rgt-in
469×*-commutative
365×associate-+r+
360×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0110526984
1332926107
2752425993
Stop Event
node limit
Counts
336 → 523
Calls
Call 1
Inputs
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) z))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) z))) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) z))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 #s(literal 3/8 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64)))))))))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) z))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 x (+.f64 (*.f64 #s(literal -5/16 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 7 binary64))))))) (*.f64 #s(literal 3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))))))))))))
(sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) z))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 z #s(literal 2 binary64)))))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) z)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 7 binary64)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 z #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 3 binary64))))))))) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(sqrt.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x)))))
(sqrt.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x)))))
(sqrt.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x)))))
(sqrt.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x)))))
(sqrt.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x)))))
(sqrt.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x)))))
(sqrt.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x)))))
(sqrt.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
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(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)))))
(*.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x)))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x)))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 x (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x))))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 (cbrt.f64 x) y) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (/.f64 (cbrt.f64 x) y) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 (/.f64 (cbrt.f64 x) y) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)))) #s(literal 2 binary64))) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 x) y) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) (/.f64 (pow.f64 y #s(literal 3 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x))) (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64)))))
(/.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x))))
(/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x)))))
(/.f64 (sqrt.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (neg.f64 (/.f64 z x)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3/2 binary64)))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)))))
(pow.f64 (*.f64 x (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x)))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x)))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x)))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 x (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x))))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 x (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x))))))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x)))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x)))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (/.f64 (pow.f64 y #s(literal -3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 z x)))))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal -3 binary64)))) (log1p.f64 (/.f64 z x)))))
(exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal -3 binary64)))) (log1p.f64 (/.f64 z x))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal -3 binary64)))) (log1p.f64 (/.f64 z x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64))) (cbrt.f64 (sqrt.f64 (*.f64 x y))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x y))) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/8 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1/4 binary64)))
(sqrt.f64 (sqrt.f64 (*.f64 x y)))
(log.f64 (exp.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 x y))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 x y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))
(*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 1 binary64))
(*.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/6 binary64)) (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))
(*.f64 (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/6 binary64))) (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64))) (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))
(*.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))) #s(literal 3 binary64)) (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64))) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 2 binary64))) (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 1 binary64)) (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) (cbrt.f64 (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))) (cbrt.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/6 binary64))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) (cbrt.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)))) (cbrt.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64))))
(sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))
(fabs.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))))
(cbrt.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))
(hypot.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) (sqrt.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 z (+.f64 x y)) #s(literal 4 binary64))))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 z (+.f64 x y)) #s(literal 4 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 z (+.f64 x y)) #s(literal 4 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 z (+.f64 x y)) #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 z (+.f64 x y)) #s(literal 4 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 z (+.f64 x y)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 z (+.f64 x y)))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 (*.f64 z (+.f64 x y)) #s(literal 4 binary64))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 z (+.f64 x y)) #s(literal 4 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 z (+.f64 x y)) #s(literal 4 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (*.f64 z (+.f64 x y)) #s(literal 4 binary64)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 z (+.f64 x y)) #s(literal 4 binary64)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 z (+.f64 x y)) #s(literal 4 binary64)))) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z (+.f64 x y)))) #s(literal -1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z (+.f64 x y)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z (+.f64 x y))))
(*.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 x y)))) (cbrt.f64 (*.f64 z (+.f64 x y))))
(*.f64 (cbrt.f64 (*.f64 z (+.f64 x y))) (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 x y)))))
(*.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 x y)))
(*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 z))
(*.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z (+.f64 x y))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 x y))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 x y))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 z (+.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z (+.f64 x y)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z (+.f64 x y)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z (+.f64 x y))))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z (+.f64 x y)))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z (+.f64 x y)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z (+.f64 x y))))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z (+.f64 x y)))) #s(literal 1 binary64)))
(pow.f64 (*.f64 z (+.f64 x y)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 x y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 z (+.f64 x y)))
(fabs.f64 (sqrt.f64 (*.f64 z (+.f64 x y))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 z (+.f64 x y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 z (+.f64 x y))))))
(cbrt.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3/2 binary64)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 z (+.f64 x y)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 z (+.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (+.f64 x y)))) #s(literal 1 binary64)))
Outputs
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) z))))
(*.f64 x (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) z))) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) z))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 #s(literal 3/8 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64)))))))))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) z))) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 #s(literal 3/8 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64)))))))))))
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(exp.f64 (log.f64 (sqrt.f64 (*.f64 z (+.f64 x y)))))
(sqrt.f64 (*.f64 z (+.f64 x y)))
(exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 z (+.f64 x y)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (+.f64 x y)))) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 z (+.f64 x y)))

eval1.1s (6.9%)

Compiler

Compiled 23942 to 14930 computations (37.6% saved)

prune181.0ms (1.1%)

Pruning

29 alts after pruning (24 fresh and 5 done)

PrunedKeptTotal
New65610666
Fresh71421
Picked415
Done145
Total66829697
Accuracy
98.4%
Counts
697 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.5%
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 z (+.f64 x y)) #s(literal 4 binary64)))) #s(literal 3 binary64))
37.5%
(*.f64 (pow.f64 (pow.f64 (*.f64 z y) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
50.9%
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) #s(literal 2 binary64))
37.6%
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
44.6%
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))))
36.6%
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z y))) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))))
44.0%
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64)))
43.5%
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64)))
68.6%
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (+.f64 x z)))) #s(literal 3 binary64)))
1.4%
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (sqrt.f64 (neg.f64 z))))))))
37.6%
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))))))
28.5%
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x y))) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))))
10.1%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (fma.f64 y (/.f64 z x) (+.f64 z y))) (sqrt.f64 x)))
51.3%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 z)))
37.7%
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sqrt.f64 (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) z))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 y x)))))))))
9.5%
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 (sqrt.f64 (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) y))) (*.f64 #s(literal 1/2 binary64) (*.f64 z (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))))))))
35.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z x))))
35.3%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) (cbrt.f64 (*.f64 x y))) (cbrt.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))))
33.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
38.2%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
59.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x (+.f64 y (*.f64 x (/.f64 y z)))))))
3.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
35.1%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
35.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
25.8%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))))
66.6%
(*.f64 #s(literal 2 binary64) (expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 y (+.f64 x z))))))
35.6%
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64))))
52.7%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 3/2 binary64))))
36.4%
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 z (+.f64 x y)) #s(literal 4 binary64)))))
Compiler

Compiled 1389 to 842 computations (39.4% saved)

regimes370.0ms (2.3%)

Counts
55 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z x)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 (+.f64 z y) (*.f64 y (/.f64 z x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x (+.f64 y (*.f64 x (/.f64 y z)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 z)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 z y) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) z) (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x y))) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))))
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x z))) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))))
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 z (+.f64 x y)) #s(literal 4 binary64)))))
(*.f64 #s(literal 2 binary64) (expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 y (+.f64 x z))))))
(*.f64 #s(literal 2 binary64) (expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (+.f64 x y))))))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (+.f64 x z)))) #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 z (+.f64 x y)) #s(literal 4 binary64)))) #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (fma.f64 y (/.f64 z x) (+.f64 z y))) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z y))) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))))
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))))))
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (sqrt.f64 (neg.f64 z))))))))
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))))
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 (sqrt.f64 (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) y))) (*.f64 #s(literal 1/2 binary64) (*.f64 z (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))))))))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 y x))))))))))
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 (sqrt.f64 (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) y))) (*.f64 #s(literal 1/2 binary64) (*.f64 z (sqrt.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 z x)))))))))
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sqrt.f64 (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) z))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 y x)))))))))
(*.f64 #s(literal 2 binary64) (expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (+.f64 x y))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z)))))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 z)))))))
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z y)))) #s(literal 3 binary64)))))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) (cbrt.f64 (*.f64 x y))) (cbrt.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))) (cbrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))) (cbrt.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))))))
Outputs
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 z)))
Calls

6 calls:

156.0ms
y
61.0ms
z
51.0ms
(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
39.0ms
x
29.0ms
(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
Results
AccuracySegmentsBranch
93.8%3x
97.0%3y
92.2%3z
84.0%2(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
84.0%2(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
84.0%2(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes41.0ms (0.3%)

Counts
50 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z x)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 (+.f64 z y) (*.f64 y (/.f64 z x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x (+.f64 y (*.f64 x (/.f64 y z)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 z)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 z y) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) z) (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x y))) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))))
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x z))) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))))
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 z (+.f64 x y)) #s(literal 4 binary64)))))
(*.f64 #s(literal 2 binary64) (expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 y (+.f64 x z))))))
(*.f64 #s(literal 2 binary64) (expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (+.f64 x y))))))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (+.f64 x z)))) #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 z (+.f64 x y)) #s(literal 4 binary64)))) #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (fma.f64 y (/.f64 z x) (+.f64 z y))) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z y))) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))))
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))))))
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (sqrt.f64 (neg.f64 z))))))))
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))))
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 (sqrt.f64 (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) y))) (*.f64 #s(literal 1/2 binary64) (*.f64 z (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))))))))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 y x))))))))))
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 (sqrt.f64 (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) y))) (*.f64 #s(literal 1/2 binary64) (*.f64 z (sqrt.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 z x)))))))))
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sqrt.f64 (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) z))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 y x)))))))))
(*.f64 #s(literal 2 binary64) (expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (+.f64 x y))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) z)))))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 z)))))))
Outputs
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 z)))
Calls

1 calls:

35.0ms
y
Results
AccuracySegmentsBranch
96.7%3y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes130.0ms (0.8%)

Counts
46 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z x)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 (+.f64 z y) (*.f64 y (/.f64 z x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x (+.f64 y (*.f64 x (/.f64 y z)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 z)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 z y) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) z) (+.f64 x y)))))
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x y))) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))))
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x z))) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z x))))))
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 z (+.f64 x y)) #s(literal 4 binary64)))))
(*.f64 #s(literal 2 binary64) (expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 y (+.f64 x z))))))
(*.f64 #s(literal 2 binary64) (expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (+.f64 x y))))))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (+.f64 x z)))) #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 z (+.f64 x y)) #s(literal 4 binary64)))) #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (fma.f64 y (/.f64 z x) (+.f64 z y))) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 z y))) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))))
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))))))
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (sqrt.f64 (neg.f64 z))))))))
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))))))
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 (sqrt.f64 (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) y))) (*.f64 #s(literal 1/2 binary64) (*.f64 z (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))))))))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x z) y))) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))
(*.f64 z (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 y x))))))))))
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 (sqrt.f64 (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 z x)) y))) (*.f64 #s(literal 1/2 binary64) (*.f64 z (sqrt.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 z x)))))))))
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sqrt.f64 (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) z))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 y x)))))))))
(*.f64 #s(literal 2 binary64) (expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y))))))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (+.f64 x y) (*.f64 x y)))) #s(literal 3 binary64)))
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 z)))
Calls

3 calls:

80.0ms
y
23.0ms
x
23.0ms
z
Results
AccuracySegmentsBranch
84.7%2z
83.1%2x
85.4%2y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes10.0ms (0.1%)

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

1 calls:

9.0ms
y
Results
AccuracySegmentsBranch
84.9%2y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes29.0ms (0.2%)

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

6 calls:

7.0ms
z
5.0ms
(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
4.0ms
y
4.0ms
x
4.0ms
(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
Results
AccuracySegmentsBranch
70.4%1x
70.4%1(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
70.4%1(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
70.4%1(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
70.4%1z
70.4%1y
Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes20.0ms (0.1%)

Counts
9 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
Calls

3 calls:

8.0ms
z
6.0ms
y
5.0ms
x
Results
AccuracySegmentsBranch
67.7%2x
70.5%2y
66.9%2z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0%)

Counts
5 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
(*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
Calls

1 calls:

4.0ms
y
Results
AccuracySegmentsBranch
70.3%2y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes3.0ms (0%)

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

1 calls:

3.0ms
y
Results
AccuracySegmentsBranch
69.9%2y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes4.0ms (0%)

Accuracy

Total -20.5b remaining (-49.5%)

Threshold costs -20.5b (-49.5%)

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

3 calls:

1.0ms
z
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
35.1%1z
35.1%1x
35.1%1y
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch89.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
44.0ms
-7.333628892907158e-289
1.0340134696632736e-265
37.0ms
-5.693174521436832e+90
-4.610674676830242e+76
Results
28.0ms355×0invalid
34.0ms352×0valid
Compiler

Compiled 703 to 564 computations (19.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-mult: 20.0ms (51.9% of total)
ival-add: 9.0ms (23.4% of total)
ival-sqrt: 5.0ms (13% of total)
const: 4.0ms (10.4% of total)
backward-pass: 0.0ms (0% of total)

bsearch338.0ms (2.1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
43.0ms
-7.333628892907158e-289
1.0340134696632736e-265
287.0ms
-5.693174521436832e+90
-4.610674676830242e+76
Results
29.0ms362×0invalid
280.0ms352×0valid
Compiler

Compiled 663 to 534 computations (19.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 287.0ms
ival-sqrt: 254.0ms (88.6% of total)
ival-mult: 22.0ms (7.7% of total)
ival-add: 9.0ms (3.1% of total)
const: 1.0ms (0.3% of total)
backward-pass: 0.0ms (0% of total)

bsearch39.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
35.0ms
-7.333628892907158e-289
1.0340134696632736e-265
Results
15.0ms192×0valid
12.0ms121×0invalid
Compiler

Compiled 323 to 244 computations (24.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 10.0ms (64.4% of total)
ival-add: 3.0ms (19.3% of total)
ival-sqrt: 2.0ms (12.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch51.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
47.0ms
-7.333628892907158e-289
1.0340134696632736e-265
Results
21.0ms192×0valid
13.0ms181×0invalid
Compiler

Compiled 299 to 232 computations (22.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 9.0ms (54.8% of total)
ival-add: 4.0ms (24.4% of total)
ival-sqrt: 3.0ms (18.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch11.0ms (0.1%)

Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
11.0ms
-7.333628892907158e-289
1.0340134696632736e-265
Results
2.0ms35×0invalid
6.0ms32×0valid
Compiler

Compiled 71 to 52 computations (26.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 5.0ms (77.2% of total)
ival-add: 1.0ms (15.4% of total)
ival-sqrt: 1.0ms (15.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch41.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
38.0ms
-3.167464036292266e-273
-7.333628892907158e-289
Results
17.0ms160×0valid
10.0ms142×0invalid
Compiler

Compiled 243 to 186 computations (23.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 8.0ms (59.6% of total)
ival-add: 3.0ms (22.4% of total)
ival-sqrt: 2.0ms (14.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch50.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
41.0ms
-3.167464036292266e-273
-7.333628892907158e-289
Results
16.0ms178×0invalid
12.0ms160×0valid
Compiler

Compiled 223 to 176 computations (21.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 11.0ms (63% of total)
ival-add: 3.0ms (17.2% of total)
ival-sqrt: 3.0ms (17.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify17.0ms (0.1%)

Algorithm
egg-herbie
Rules
21×*-commutative
10×+-commutative
unsub-neg
sub-neg
neg-sub0
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
083736
1112724
2121724
3126724
4131724
5132724
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 y #s(literal -47000000000000003175989147862951236015507382021670726105431731083697473978368 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64))) (if (<=.f64 y #s(literal 6985441083371519/623700096729599941142616472824012051896078518886080481719546013261628716209051270557799364216448656590419514638810154763741386871372998018980991186964009818850001772797214273911730537951363433494579173982669976247915878267225271996527767271390013799220975283398673763013237029759482503102464 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z)))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 z)))))
(if (<=.f64 y #s(literal -47000000000000003175989147862951236015507382021670726105431731083697473978368 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64))) (if (<=.f64 y #s(literal 809968618843565/184083777009901148951480851536796132722480842643692193047992403105518260024832986247893480778145316885626996612988306798242600723265962621432675768974821503362834322867062256922933472871676000378319956942935045907290266298718681990629287025193807090855270922941016369397705979841003229496151404881535205516509184 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z)))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 z)))))
(if (<=.f64 y #s(literal 290432989937067/9076030935533343889148330677184451660957398691768765008885326289770145612551296225251271450782204288267814476258502032778653474399077793626653018683486295323382390383590453332169716856898789897889643528945016096228440849041002686084943230837088977557446564364344140092918489677824 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z)))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 z))))
(if (<=.f64 y #s(literal 7406041243395209/72608247484266751113186645417475613287659189534150120071082610318161164900410369802010171606257634306142515810068016262229227795192622349013224149467890362587059123068723626657357734855190319183117148231560128769827526792328021488679545846696711820459572514914753120743347917422592 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z)))) (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(if (<=.f64 y #s(literal -5486124068793689/10972248137587377366511872502374418540148785271864664140224003976912394763519345894330351399072725587226569450675744223489916367725489295806448207436491340599228997401420012529071180395583868049283025082524719590383187907857816337980585517000782912424520905193151019179684280147612287372121298604103041024 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z)))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x)))))
(if (<=.f64 y #s(literal -8229186103190533/10972248137587377366511872502374418540148785271864664140224003976912394763519345894330351399072725587226569450675744223489916367725489295806448207436491340599228997401420012529071180395583868049283025082524719590383187907857816337980585517000782912424520905193151019179684280147612287372121298604103041024 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z)))) (*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64)))
(if (<=.f64 y #s(literal -8229186103190533/10972248137587377366511872502374418540148785271864664140224003976912394763519345894330351399072725587226569450675744223489916367725489295806448207436491340599228997401420012529071180395583868049283025082524719590383187907857816337980585517000782912424520905193151019179684280147612287372121298604103041024 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x))) (*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
Outputs
(if (<=.f64 y #s(literal -47000000000000003175989147862951236015507382021670726105431731083697473978368 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64))) (if (<=.f64 y #s(literal 6985441083371519/623700096729599941142616472824012051896078518886080481719546013261628716209051270557799364216448656590419514638810154763741386871372998018980991186964009818850001772797214273911730537951363433494579173982669976247915878267225271996527767271390013799220975283398673763013237029759482503102464 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z)))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 z)))))
(if (<=.f64 y #s(literal -47000000000000003175989147862951236015507382021670726105431731083697473978368 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 (neg.f64 y) (neg.f64 z))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64))) (if (<=.f64 y #s(literal 6985441083371519/623700096729599941142616472824012051896078518886080481719546013261628716209051270557799364216448656590419514638810154763741386871372998018980991186964009818850001772797214273911730537951363433494579173982669976247915878267225271996527767271390013799220975283398673763013237029759482503102464 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z)))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))))
(if (<=.f64 y #s(literal -47000000000000003175989147862951236015507382021670726105431731083697473978368 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 (log.f64 (-.f64 (neg.f64 y) z)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) #s(literal 2 binary64))) (if (<=.f64 y #s(literal 6985441083371519/623700096729599941142616472824012051896078518886080481719546013261628716209051270557799364216448656590419514638810154763741386871372998018980991186964009818850001772797214273911730537951363433494579173982669976247915878267225271996527767271390013799220975283398673763013237029759482503102464 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z)))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))))
(if (<=.f64 y #s(literal -47000000000000003175989147862951236015507382021670726105431731083697473978368 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64))) (if (<=.f64 y #s(literal 809968618843565/184083777009901148951480851536796132722480842643692193047992403105518260024832986247893480778145316885626996612988306798242600723265962621432675768974821503362834322867062256922933472871676000378319956942935045907290266298718681990629287025193807090855270922941016369397705979841003229496151404881535205516509184 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z)))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 z)))))
(if (<=.f64 y #s(literal -47000000000000003175989147862951236015507382021670726105431731083697473978368 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 (neg.f64 y))))) #s(literal 2 binary64))) (if (<=.f64 y #s(literal 809968618843565/184083777009901148951480851536796132722480842643692193047992403105518260024832986247893480778145316885626996612988306798242600723265962621432675768974821503362834322867062256922933472871676000378319956942935045907290266298718681990629287025193807090855270922941016369397705979841003229496151404881535205516509184 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z)))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))))
(if (<=.f64 y #s(literal -47000000000000003175989147862951236015507382021670726105431731083697473978368 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) #s(literal 2 binary64))) (if (<=.f64 y #s(literal 809968618843565/184083777009901148951480851536796132722480842643692193047992403105518260024832986247893480778145316885626996612988306798242600723265962621432675768974821503362834322867062256922933472871676000378319956942935045907290266298718681990629287025193807090855270922941016369397705979841003229496151404881535205516509184 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z)))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))))
(if (<=.f64 y #s(literal 290432989937067/9076030935533343889148330677184451660957398691768765008885326289770145612551296225251271450782204288267814476258502032778653474399077793626653018683486295323382390383590453332169716856898789897889643528945016096228440849041002686084943230837088977557446564364344140092918489677824 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z)))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 z))))
(if (<=.f64 y #s(literal 290432989937067/9076030935533343889148330677184451660957398691768765008885326289770145612551296225251271450782204288267814476258502032778653474399077793626653018683486295323382390383590453332169716856898789897889643528945016096228440849041002686084943230837088977557446564364344140092918489677824 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z)))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z))))
(if (<=.f64 y #s(literal 7406041243395209/72608247484266751113186645417475613287659189534150120071082610318161164900410369802010171606257634306142515810068016262229227795192622349013224149467890362587059123068723626657357734855190319183117148231560128769827526792328021488679545846696711820459572514914753120743347917422592 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z)))) (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) #s(literal 2 binary64)))
(if (<=.f64 y #s(literal 7406041243395209/72608247484266751113186645417475613287659189534150120071082610318161164900410369802010171606257634306142515810068016262229227795192622349013224149467890362587059123068723626657357734855190319183117148231560128769827526792328021488679545846696711820459572514914753120743347917422592 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z)))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 y x) (*.f64 z (+.f64 y x)))))
(if (<=.f64 y #s(literal -5486124068793689/10972248137587377366511872502374418540148785271864664140224003976912394763519345894330351399072725587226569450675744223489916367725489295806448207436491340599228997401420012529071180395583868049283025082524719590383187907857816337980585517000782912424520905193151019179684280147612287372121298604103041024 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z)))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x)))))
(if (<=.f64 y #s(literal -8229186103190533/10972248137587377366511872502374418540148785271864664140224003976912394763519345894330351399072725587226569450675744223489916367725489295806448207436491340599228997401420012529071180395583868049283025082524719590383187907857816337980585517000782912424520905193151019179684280147612287372121298604103041024 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z)))) (*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64)))
(if (<=.f64 y #s(literal -8229186103190533/10972248137587377366511872502374418540148785271864664140224003976912394763519345894330351399072725587226569450675744223489916367725489295806448207436491340599228997401420012529071180395583868049283025082524719590383187907857816337980585517000782912424520905193151019179684280147612287372121298604103041024 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z)))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z))))
(if (<=.f64 y #s(literal -8229186103190533/10972248137587377366511872502374418540148785271864664140224003976912394763519345894330351399072725587226569450675744223489916367725489295806448207436491340599228997401420012529071180395583868049283025082524719590383187907857816337980585517000782912424520905193151019179684280147612287372121298604103041024 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x))) (*.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64)))
(if (<=.f64 y #s(literal -8229186103190533/10972248137587377366511872502374418540148785271864664140224003976912394763519345894330351399072725587226569450675744223489916367725489295806448207436491340599228997401420012529071180395583868049283025082524719590383187907857816337980585517000782912424520905193151019179684280147612287372121298604103041024 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))

soundness1.8s (11%)

Rules
1108×log1p-expm1-u
1003×log1p-expm1-u
897×log1p-expm1-u
897×expm1-log1p-u
880×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034210
1492210
26430210
022210
1305210
24438210
0118349832
1382147833
0102532030
1297631060
2764631060
057590
1156534
2328530
3624530
41291530
51969530
62919530
73283530
83342530
93348530
103348530
033619
1491276
26282276
Stop Event
fuel
node limit
saturated
node limit
node limit
node limit
node limit
Compiler

Compiled 969 to 446 computations (54% saved)

preprocess109.0ms (0.7%)

Compiler

Compiled 744 to 462 computations (37.9% saved)

end0.0ms (0%)

Profiling

Loading profile data...