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

Time bar (total: 17.3s)

analyze256.0ms (1.5%)

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: 108.0ms
ival-mult: 60.0ms (55.4% of total)
ival-add: 26.0ms (24% of total)
ival-sqrt: 19.0ms (17.5% of total)
const: 3.0ms (2.8% of total)

sample2.6s (15.3%)

Results
1.5s8256×0valid
550.0ms4500×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-mult: 648.0ms (53.5% of total)
ival-add: 370.0ms (30.6% of total)
ival-sqrt: 168.0ms (13.9% of total)
const: 19.0ms (1.6% of total)
backward-pass: 5.0ms (0.4% of total)
Bogosity

preprocess156.0ms (0.9%)

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)

explain115.0ms (0.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
740-0-(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
50-0-(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
30-0-(+.f64 (*.f64 x y) (*.f64 x 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
68.0ms512×256valid
Compiler

Compiled 139 to 37 computations (73.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 18.0ms (63.6% of total)
ival-add: 5.0ms (17.7% of total)
ival-sqrt: 4.0ms (14.1% of total)
const: 1.0ms (3.5% of total)

eval1.0ms (0%)

Compiler

Compiled 37 to 22 computations (40.5% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
72.8%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
72.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
72.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
Compiler

Compiled 46 to 30 computations (34.8% saved)

localize111.0ms (0.6%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
100.0%
(fma.f64 x z (*.f64 y (+.f64 x z)))
72.8%
(sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))
99.1%
(+.f64 (*.f64 x y) (*.f64 x z))
98.4%
(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
72.8%
(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
100.0%
(*.f64 z (+.f64 y x))
98.4%
(+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))
72.8%
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x))))
Results
69.0ms256×256valid
Compiler

Compiled 147 to 27 computations (81.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-mult: 16.0ms (42.4% of total)
ival-sqrt: 9.0ms (23.9% of total)
ival-add: 8.0ms (21.2% of total)
composed: 3.0ms (8% of total)
const: 1.0ms (2.7% of total)

series54.0ms (0.3%)

Counts
8 → 282
Calls
Call 1
Inputs
#<alt (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x))))>
#<alt (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))>
#<alt (*.f64 z (+.f64 y x))>
#<alt (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))>
#<alt (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))>
#<alt (+.f64 (*.f64 x y) (*.f64 x z))>
#<alt (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))>
#<alt (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)))))))>
#<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))))))))>
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#<alt (*.f64 z (+.f64 x (+.f64 y (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 z (+.f64 x (+.f64 y (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))))>
#<alt (*.f64 x z)>
#<alt (+.f64 (*.f64 x z) (*.f64 y (+.f64 x z)))>
#<alt (+.f64 (*.f64 x z) (*.f64 y (+.f64 x z)))>
#<alt (+.f64 (*.f64 x z) (*.f64 y (+.f64 x z)))>
#<alt (*.f64 y (+.f64 x z))>
#<alt (*.f64 y (+.f64 x (+.f64 z (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y (+.f64 x (+.f64 z (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y (+.f64 x (+.f64 z (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y (+.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
Calls

72 calls:

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

rewrite334.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
1211×log1p-expm1-u
185×add-cube-cbrt
185×expm1-log1p-u
181×add-exp-log
181×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025272
1403272
26109272
Stop Event
node limit
Counts
8 → 368
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x))))
(+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))
(*.f64 z (+.f64 y x))
(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
(+.f64 (*.f64 x y) (*.f64 x z))
(sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))
(fma.f64 x z (*.f64 y (+.f64 x z)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) (cbrt.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(*.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(/.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)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 z (+.f64 x y)) (-.f64 (*.f64 z (+.f64 x y)) (*.f64 x y))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 x (+.f64 y z)))))))
(pow.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1 binary64))
(pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))))
(cbrt.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(hypot.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) (sqrt.f64 (*.f64 y z)))
(hypot.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 z (+.f64 x y))))
(hypot.f64 (sqrt.f64 (*.f64 x z)) (sqrt.f64 (*.f64 y (+.f64 x z))))
(hypot.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) (sqrt.f64 (*.f64 x y)))
(hypot.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 x (+.f64 y z))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (-.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))) (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (-.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))))
(-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))) (/.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)) (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))))
(*.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x z (*.f64 y (+.f64 x z))))
(*.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) (pow.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(*.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 z (+.f64 x y)) (-.f64 (*.f64 z (+.f64 x y)) (*.f64 x y))))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 x (+.f64 y z)))))))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) (cbrt.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 x (+.f64 y z))))) (+.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (+.f64 y z)) (*.f64 y z)) (-.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 z (+.f64 x y)) (-.f64 (*.f64 z (+.f64 x y)) (*.f64 x y)))) (+.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 z (+.f64 x y)) (-.f64 (*.f64 z (+.f64 x y)) (*.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x y) z) (+.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 x (+.f64 y z))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (*.f64 x (*.f64 (+.f64 y z) (*.f64 y z))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64))) (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (-.f64 (*.f64 x (+.f64 y z)) (*.f64 y z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 x (+.f64 y z)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 z (+.f64 x y)) (-.f64 (*.f64 z (+.f64 x y)) (*.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64)) (*.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 x z)) #s(literal 2 binary64))) (-.f64 (*.f64 x z) (*.f64 y (+.f64 x z))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (+.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 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64))) (-.f64 (*.f64 y z) (*.f64 x (+.f64 y z))))
(pow.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 2 binary64))
(pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(cbrt.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(log1p.f64 (expm1.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(exp.f64 (log.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1 binary64)))
(fma.f64 x y (*.f64 z (+.f64 x y)))
(fma.f64 x z (*.f64 y (+.f64 x z)))
(fma.f64 x (+.f64 y z) (*.f64 y z))
(fma.f64 y x (*.f64 z (+.f64 x y)))
(fma.f64 y z (*.f64 x (+.f64 y z)))
(fma.f64 z x (*.f64 y (+.f64 x z)))
(fma.f64 z y (*.f64 x (+.f64 y z)))
(fma.f64 z (+.f64 x y) (*.f64 x y))
(fma.f64 (+.f64 x y) z (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 z (+.f64 x y)))
(fma.f64 #s(literal 1 binary64) (*.f64 z (+.f64 x y)) (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x z) (*.f64 y (+.f64 x z)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y z)) (*.f64 y z))
(fma.f64 #s(literal 1 binary64) (*.f64 y z) (*.f64 x (+.f64 y z)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (+.f64 y z))) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) (*.f64 z (+.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x z)) (*.f64 y (+.f64 x z)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z (+.f64 x y))) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y z)) (*.f64 x (+.f64 y z)))
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) (sqrt.f64 (*.f64 x (+.f64 y z))) (*.f64 y z))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 z (+.f64 x y)))
(fma.f64 (sqrt.f64 (*.f64 x z)) (sqrt.f64 (*.f64 x z)) (*.f64 y (+.f64 x z)))
(fma.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) (sqrt.f64 (*.f64 z (+.f64 x y))) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) (*.f64 x (+.f64 y z)))
(+.f64 (*.f64 x z) (*.f64 y z))
(+.f64 (*.f64 y z) (*.f64 x z))
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(*.f64 (sqrt.f64 (*.f64 x (+.f64 y z))) (sqrt.f64 (*.f64 x (+.f64 y z))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 y z)))
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(*.f64 (+.f64 y z) x)
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(pow.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
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(exp.f64 (log.f64 (*.f64 x (+.f64 y z))))
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(fma.f64 x z (*.f64 x y))
(fma.f64 y x (*.f64 x z))
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(fma.f64 (sqrt.f64 (*.f64 x z)) (sqrt.f64 (*.f64 x z)) (*.f64 x y))
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(exp.f64 (*.f64 (log.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) #s(literal 1 binary64)))
(+.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))
(+.f64 (*.f64 z (+.f64 x y)) (*.f64 x y))
(+.f64 (*.f64 x z) (*.f64 y (+.f64 x z)))
(+.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))
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(+.f64 (*.f64 y (+.f64 x z)) (*.f64 x z))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (-.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))) (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (-.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))))
(-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))) (/.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)) (-.f64 (*.f64 x y) (*.f64 z (+.f64 x y)))))
(*.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x z (*.f64 y (+.f64 x z))))
(*.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) (pow.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
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(*.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 x (+.f64 y z)))))))
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(*.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 y z)) (*.f64 y z))))
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(*.f64 (*.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) (cbrt.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 x (+.f64 y z))))) (+.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (+.f64 y z)) (*.f64 y z)) (-.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 z (+.f64 x y)) (-.f64 (*.f64 z (+.f64 x y)) (*.f64 x y)))) (+.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
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(/.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x y) z) (+.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64)) (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 x (+.f64 y z))))))
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(log.f64 (exp.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(cbrt.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(log1p.f64 (expm1.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(exp.f64 (log.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1 binary64)))

simplify314.0ms (1.8%)

Algorithm
egg-herbie
Rules
772×associate-*r*
651×associate-*l*
574×fma-define
421×distribute-rgt-in
415×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
080844868
1231043179
Stop Event
node limit
Counts
650 → 433
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 y z))
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(/.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 2 binary64))) (-.f64 (*.f64 y z) (*.f64 x (+.f64 y z))))
(pow.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 2 binary64))
(pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(cbrt.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(log1p.f64 (expm1.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(exp.f64 (log.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #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 #s(literal 1 binary64) (*.f64 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 #s(literal 1 binary64) (*.f64 y z))))))))
(fma.f64 x (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (*.f64 (+.f64 y z) #s(literal 1/2 binary64)))) (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 #s(literal 1 binary64) (*.f64 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 x (*.f64 (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 (*.f64 x (pow.f64 (+.f64 y z) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64))))) #s(literal 1/16 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (*.f64 (+.f64 y z) #s(literal 1/2 binary64)))) (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 y (*.f64 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 1/2 binary64) (*.f64 y (*.f64 z (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y z) (pow.f64 x #s(literal 3 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 (*.f64 y z) #s(literal 2 binary64)) #s(literal -1/8 binary64))))))
(*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 (+.f64 y z) #s(literal 5 binary64))))) (pow.f64 (*.f64 y z) #s(literal 3 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 (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)))) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (*.f64 (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 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1/16 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 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 #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 (/.f64 #s(literal 1 binary64) (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 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 (*.f64 z (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (neg.f64 y) z))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (-.f64 (neg.f64 y) z) x)))) (neg.f64 x))
(*.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 (neg.f64 x) (fma.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 #s(literal -1 binary64) (+.f64 y 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))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (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 (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 (neg.f64 y) z) #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 (*.f64 z (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (neg.f64 y) z))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (-.f64 (neg.f64 y) z) x))))) (neg.f64 x))
(*.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))))))))
(*.f64 (neg.f64 x) (fma.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 #s(literal -1 binary64) (+.f64 y 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))))) (fma.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 #s(literal -1 binary64) (+.f64 y z)) #s(literal 5 binary64))))) (*.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (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 -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 (-.f64 (neg.f64 y) z) #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (neg.f64 y) z) #s(literal 5 binary64))) (pow.f64 x #s(literal 7 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 (*.f64 z (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (neg.f64 y) z))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (-.f64 (neg.f64 y) z) x))))))))
(sqrt.f64 (*.f64 x z))
(sqrt.f64 (*.f64 z x))
(+.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)))))
(+.f64 (sqrt.f64 (*.f64 z x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) (*.f64 y (+.f64 z x)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) (+.f64 z x))) (sqrt.f64 (*.f64 z x)))
(+.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))))))
(+.f64 (sqrt.f64 (*.f64 z x)) (*.f64 y (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z x) #s(literal 3 binary64)))) (*.f64 y (pow.f64 (+.f64 z x) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) (+.f64 z x))))))
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(cbrt.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 3 binary64)))
(fma.f64 y z (*.f64 x (+.f64 y z)))
(fma.f64 y (+.f64 z x) (*.f64 z x))
(expm1.f64 (log1p.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(expm1.f64 (log1p.f64 (fma.f64 y (+.f64 z x) (*.f64 z x))))
(log1p.f64 (expm1.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(fma.f64 y z (*.f64 x (+.f64 y z)))
(fma.f64 y (+.f64 z x) (*.f64 z x))
(exp.f64 (log.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(fma.f64 y z (*.f64 x (+.f64 y z)))
(fma.f64 y (+.f64 z x) (*.f64 z x))
(exp.f64 (*.f64 (log.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1 binary64)))
(fma.f64 y z (*.f64 x (+.f64 y z)))
(fma.f64 y (+.f64 z x) (*.f64 z x))

eval210.0ms (1.2%)

Compiler

Compiled 11759 to 5875 computations (50% saved)

prune150.0ms (0.9%)

Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New41518433
Fresh000
Picked213
Done000
Total41719436
Accuracy
85.0%
Counts
436 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.3%
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) (+.f64 z x))) (sqrt.f64 (*.f64 z x))))
72.3%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
71.4%
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) #s(literal 3 binary64)))
20.9%
(*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (*.f64 y x) (*.f64 z (+.f64 y x))))))
36.1%
(*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 y x)))))) (sqrt.f64 (/.f64 (+.f64 y x) z)))))
34.5%
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y x) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x))))))))
30.7%
(*.f64 #s(literal 2 binary64) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 x (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 z x))))) (sqrt.f64 (/.f64 (+.f64 z x) y)))))
27.9%
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 z x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 z x)))))))))
72.1%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) #s(literal 3 binary64)) (*.f64 y z))))
72.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
72.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))))
33.1%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
56.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x (+.f64 y (*.f64 x (/.f64 y z)))))))
3.3%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
31.8%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
41.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
60.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z x)))))))
42.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
51.3%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/2 binary64))))
Compiler

Compiled 733 to 476 computations (35.1% saved)

localize819.0ms (4.7%)

Localize:

Found 14 expressions with local error:

NewAccuracyProgram
93.2%
(*.f64 (*.f64 y x) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x))))
90.3%
(*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y x) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x)))))))
85.4%
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x)))
83.0%
(sqrt.f64 (/.f64 (+.f64 y x) z))
100.0%
(fma.f64 x z (*.f64 y (+.f64 x z)))
99.6%
(pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
89.5%
(pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64))
100.0%
(*.f64 z (+.f64 y x))
93.1%
(sqrt.f64 (*.f64 z (+.f64 y x)))
90.2%
(sqrt.f64 (*.f64 y x))
99.7%
(*.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
89.7%
(sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))
89.7%
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))))
89.5%
(pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64))
Results
170.0ms136×256invalid
167.0ms120×256valid
Compiler

Compiled 416 to 135 computations (67.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 270.0ms
ival-pow: 145.0ms (53.7% of total)
ival-mult: 51.0ms (18.9% of total)
ival-div: 30.0ms (11.1% of total)
ival-sqrt: 25.0ms (9.3% of total)
ival-add: 8.0ms (3% of total)
const: 6.0ms (2.2% of total)
composed: 4.0ms (1.5% of total)

series262.0ms (1.5%)

Counts
11 → 384
Calls
Call 1
Inputs
#<alt (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64))>
#<alt (sqrt.f64 (*.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))))>
#<alt (*.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))>
#<alt (sqrt.f64 (*.f64 y x))>
#<alt (sqrt.f64 (*.f64 z (+.f64 y x)))>
#<alt (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64))>
#<alt (pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) #s(literal 2 binary64))>
#<alt (sqrt.f64 (/.f64 (+.f64 y x) z))>
#<alt (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x)))>
#<alt (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y x) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x)))))))>
#<alt (*.f64 (*.f64 y x) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x))))>
Outputs
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/4 binary64))>
#<alt (+.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)))>
#<alt (+.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)))>
#<alt (+.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)))>
#<alt (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 y z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 y z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 y (*.f64 z (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 y z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))))) (*.f64 x (+.f64 y z)))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 y z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 y (*.f64 z (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 y z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))))) (*.f64 x (+.f64 y z)))) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 y z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 y z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 y z) #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 y z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 y (*.f64 z (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 y z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))))) (*.f64 x (+.f64 y z)))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 y z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 y z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 y z) #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 y z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (+.f64 y z) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/384 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (+.f64 y z) #s(literal 3 binary64)))) (*.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (+.f64 y z) #s(literal 3 binary64))))))) (pow.f64 x #s(literal 3 binary64))))))>
#<alt (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))))))>
#<alt (+.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)))))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 y (*.f64 z (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)))))))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))))>
#<alt (+.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)))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.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)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)))))) x)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 y (*.f64 z (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)))))))) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))) x)))>
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#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal 1/4 binary64))>
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#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x (+.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))))) (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 7 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 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 z #s(literal 3 binary64))))))) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 3 binary64))))))))))>
#<alt (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (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 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 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 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x (+.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))))) (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))))))) (pow.f64 y #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 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))))))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))>
#<alt (*.f64 x (+.f64 (sqrt.f64 (/.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 y (pow.f64 z #s(literal 3 binary64)))))))))>
#<alt (*.f64 x (+.f64 (sqrt.f64 (/.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 y (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 3 binary64)))))))))))>
#<alt (*.f64 x (+.f64 (sqrt.f64 (/.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 y (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 5 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 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))))))))>
#<alt (*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) y)>
#<alt (*.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 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))))) y)))>
#<alt (*.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 z #s(literal 3 binary64))))) (pow.f64 y #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 5 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 3 binary64))))) y))))>
#<alt (*.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 z #s(literal 3 binary64))))) (pow.f64 y #s(literal 2 binary64)))) (+.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 y (+.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 (*.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 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 3 binary64))))) y)))))>
#<alt (*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (*.f64 y (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 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 3 binary64))))) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 3 binary64))))) (*.f64 y (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 5 binary64)) (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 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 3 binary64))))) (*.f64 y (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 (pow.f64 z #s(literal 3 binary64)) x)) (*.f64 y (+.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))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (pow.f64 y #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 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))>
#<alt (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 y (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 3 binary64)) (+.f64 x y))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 y (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 3 binary64)) (+.f64 x y))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 y (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 3 binary64)) (+.f64 x y))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 y (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 3 binary64)) (+.f64 x y))))))>
Calls

96 calls:

TimeVariablePointExpression
74.0ms
x
@-inf
(pow (+ (* x z) (* y (+ x z))) 1/4)
12.0ms
x
@-inf
(pow (+ (* x z) (* y (+ x z))) 1/4)
10.0ms
y
@0
(* (pow (+ (* x z) (* y (+ x z))) 1/4) (sqrt (+ (* x z) (* y (+ x z)))))
6.0ms
x
@-inf
(* (pow (+ (* x z) (* y (+ x z))) 1/4) (sqrt (+ (* x z) (* y (+ x z)))))
6.0ms
x
@inf
(* (pow (+ (* x z) (* y (+ x z))) 1/4) (sqrt (+ (* x z) (* y (+ x z)))))

rewrite140.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
277×associate-*r*
247×log1p-expm1-u
247×expm1-log1p-u
242×add-cube-cbrt
240×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040498
1624449
Stop Event
node limit
Counts
11 → 262
Calls
Call 1
Inputs
(pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64))
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))))
(*.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(sqrt.f64 (*.f64 y x))
(sqrt.f64 (*.f64 z (+.f64 y x)))
(pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (/.f64 (+.f64 y x) z))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x)))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y x) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x)))))))
(*.f64 (*.f64 y x) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) (cbrt.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64))) (cbrt.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(*.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 3/4 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 3/4 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/8 binary64))) (sqrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 3/4 binary64)))))
(sqrt.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(fabs.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)))
(log.f64 (exp.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 3/4 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64))))
(exp.f64 (log.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))) #s(literal 1 binary64))
(*.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) (cbrt.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(*.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/8 binary64)) (sqrt.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 3/4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 3/4 binary64))) (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1/2 binary64)))
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(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (cbrt.f64 (+.f64 x y))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (cbrt.f64 (+.f64 x y))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (cbrt.f64 (+.f64 x y))) #s(literal 2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (cbrt.f64 (+.f64 x y)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 z #s(literal -3/2 binary64))))
(/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y)))
(/.f64 (sqrt.f64 (neg.f64 (pow.f64 z #s(literal -3 binary64)))) (sqrt.f64 (neg.f64 (+.f64 x y))))
(/.f64 (neg.f64 (pow.f64 z #s(literal -3/2 binary64))) (neg.f64 (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 -3/2 binary64)) (sqrt.f64 (+.f64 x y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.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 (pow.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))))
(log.f64 (exp.f64 (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.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 (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y)))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y)))))
(exp.f64 (log.f64 (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.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 (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y)))) #s(literal 1 binary64)))
(+.f64 (*.f64 z (/.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y)))) (*.f64 z (sqrt.f64 (/.f64 (+.f64 x y) z))))
(+.f64 (*.f64 z (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 z (/.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y)))))
(+.f64 (*.f64 (*.f64 z (sqrt.f64 (/.f64 (+.f64 x y) z))) #s(literal 1 binary64)) (*.f64 (*.f64 z (/.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (/.f64 (+.f64 x y) z)))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 z (sqrt.f64 (/.f64 (+.f64 x y) z))) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 z (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 z (sqrt.f64 (/.f64 (+.f64 x y) z)))) (-.f64 (*.f64 (*.f64 z (/.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y)))) (*.f64 z (/.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y))))) (*.f64 (*.f64 z (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 z (/.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y))))))))
(/.f64 (-.f64 (*.f64 (*.f64 z (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 z (sqrt.f64 (/.f64 (+.f64 x y) z)))) (*.f64 (*.f64 z (/.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y)))) (*.f64 z (/.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y)))))) (-.f64 (*.f64 z (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 z (/.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y))))))
(/.f64 (*.f64 z (+.f64 (pow.f64 (/.f64 (+.f64 x y) z) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y))) #s(literal 3 binary64)))) (+.f64 (/.f64 (+.f64 x y) z) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y))) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y))) (sqrt.f64 (/.f64 (+.f64 x y) z))))))
(/.f64 (*.f64 z (-.f64 (/.f64 (+.f64 x y) z) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))) (-.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (/.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x y) z) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y))) #s(literal 3 binary64))) z) (+.f64 (/.f64 (+.f64 x y) z) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y))) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y))) (sqrt.f64 (/.f64 (+.f64 x y) z))))))
(/.f64 (*.f64 (-.f64 (/.f64 (+.f64 x y) z) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) z) (-.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (/.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y)))))
(pow.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (/.f64 (+.f64 x y) z)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (/.f64 (+.f64 x y) z))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (/.f64 (+.f64 x y) z)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (/.f64 (+.f64 x y) z))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (/.f64 (+.f64 x y) z)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (/.f64 (+.f64 x y) z)))) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (/.f64 (+.f64 x y) z)))))))
(cbrt.f64 (pow.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (/.f64 (+.f64 x y) z)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (/.f64 (+.f64 x y) z))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (/.f64 (+.f64 x y) z))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (/.f64 (+.f64 x y) z))))))
(log1p.f64 (expm1.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (/.f64 (+.f64 x y) z))))))
(exp.f64 (log.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (/.f64 (+.f64 x y) z))))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (/.f64 (+.f64 x y) z))))) #s(literal 1 binary64)))
(fma.f64 z (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 z (/.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y)))))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) z (*.f64 z (/.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))))))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 x y) (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y)))
(/.f64 (*.f64 (pow.f64 z #s(literal -3/2 binary64)) (*.f64 x y)) (sqrt.f64 (+.f64 x y)))
(pow.f64 (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y)))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) y) (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))))))))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y)))))))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y)))))))
(exp.f64 (log.f64 (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y)))))) #s(literal 1 binary64)))

simplify617.0ms (3.6%)

Algorithm
egg-herbie
Rules
472×+-commutative
415×times-frac
333×fma-define
290×associate-*r*
284×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0229677479
1642074876
Stop Event
node limit
Counts
646 → 842
Calls
Call 1
Inputs
(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)))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 y z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (/.f64 (+.f64 x y) z)))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 z (sqrt.f64 (/.f64 (+.f64 x y) z))) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 z (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 z (sqrt.f64 (/.f64 (+.f64 x y) z)))) (-.f64 (*.f64 (*.f64 z (/.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y)))) (*.f64 z (/.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y))))) (*.f64 (*.f64 z (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 z (/.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y))))))))
(/.f64 (-.f64 (*.f64 (*.f64 z (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 z (sqrt.f64 (/.f64 (+.f64 x y) z)))) (*.f64 (*.f64 z (/.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y)))) (*.f64 z (/.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y)))))) (-.f64 (*.f64 z (sqrt.f64 (/.f64 (+.f64 x y) z))) (*.f64 z (/.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y))))))
(/.f64 (*.f64 z (+.f64 (pow.f64 (/.f64 (+.f64 x y) z) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y))) #s(literal 3 binary64)))) (+.f64 (/.f64 (+.f64 x y) z) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y))) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y))) (sqrt.f64 (/.f64 (+.f64 x y) z))))))
(/.f64 (*.f64 z (-.f64 (/.f64 (+.f64 x y) z) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))) (-.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (/.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x y) z) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y))) #s(literal 3 binary64))) z) (+.f64 (/.f64 (+.f64 x y) z) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y))) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y))) (sqrt.f64 (/.f64 (+.f64 x y) z))))))
(/.f64 (*.f64 (-.f64 (/.f64 (+.f64 x y) z) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) z) (-.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (/.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y)))))
(pow.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (/.f64 (+.f64 x y) z)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (/.f64 (+.f64 x y) z))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (/.f64 (+.f64 x y) z)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (/.f64 (+.f64 x y) z))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (/.f64 (+.f64 x y) z)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (/.f64 (+.f64 x y) z)))) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (/.f64 (+.f64 x y) z)))))))
(cbrt.f64 (pow.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (/.f64 (+.f64 x y) z)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (/.f64 (+.f64 x y) z))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (/.f64 (+.f64 x y) z))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (/.f64 (+.f64 x y) z))))))
(log1p.f64 (expm1.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (/.f64 (+.f64 x y) z))))))
(exp.f64 (log.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (/.f64 (+.f64 x y) z))))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (/.f64 (+.f64 x y) z))))) #s(literal 1 binary64)))
(fma.f64 z (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 z (/.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y)))))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) z (*.f64 z (/.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))))))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 x y) (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y)))
(/.f64 (*.f64 (pow.f64 z #s(literal -3/2 binary64)) (*.f64 x y)) (sqrt.f64 (+.f64 x y)))
(pow.f64 (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y)))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) y) (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))))))))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y)))))))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y)))))))
(exp.f64 (log.f64 (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y)))))) #s(literal 1 binary64)))
Outputs
(pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/4 binary64))
(pow.f64 (*.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)))
(fma.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.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 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)))
(fma.f64 x (fma.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.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 y z) #s(literal 1/4 binary64)) (*.f64 x (fma.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 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)))
(fma.f64 x (fma.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))) (*.f64 x (*.f64 (pow.f64 (*.f64 y z) #s(literal 1/4 binary64)) (+.f64 (*.f64 x (fma.f64 #s(literal -1/32 binary64) (*.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (/.f64 (+.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))))) (fma.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)))))))) (fma.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 y z) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 y z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (+.f64 y z)) (neg.f64 (neg.f64 (log.f64 x)))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (+.f64 y z)) (log.f64 x)))
(+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 y z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 y (*.f64 z (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 y z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))))))) (*.f64 x (+.f64 y z)))))
(+.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (+.f64 y z)) (neg.f64 (neg.f64 (log.f64 x))))) (*.f64 #s(literal 1/4 binary64) (*.f64 y (/.f64 (*.f64 z (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (+.f64 y z)) (neg.f64 (neg.f64 (log.f64 x)))))) (*.f64 x (+.f64 y z))))))
(+.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (+.f64 y z)) (log.f64 x))) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 y z) x) (/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (+.f64 y z)) (log.f64 x))) (+.f64 y z)))))
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(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x y) z) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y))) #s(literal 3 binary64))) z) (+.f64 (/.f64 (+.f64 x y) z) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y))) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y))) (sqrt.f64 (/.f64 (+.f64 x y) z))))))
(*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 y x) z) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x)))) #s(literal 3 binary64))) (/.f64 z (+.f64 (/.f64 (+.f64 y x) z) (*.f64 (*.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x)))) (-.f64 (*.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x)))) (sqrt.f64 (/.f64 (+.f64 y x) z)))))))
(/.f64 (*.f64 (-.f64 (/.f64 (+.f64 x y) z) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) z) (-.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (/.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y)))))
(*.f64 (-.f64 (/.f64 (+.f64 y x) z) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 y x)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) (/.f64 z (-.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x)))))))
(pow.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (/.f64 (+.f64 x y) z)))) #s(literal 1 binary64))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (*.f64 x (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 y x)))) (sqrt.f64 (/.f64 (+.f64 y x) z))))
(pow.f64 (cbrt.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (/.f64 (+.f64 x y) z))))) #s(literal 3 binary64))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (*.f64 x (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 y x)))) (sqrt.f64 (/.f64 (+.f64 y x) z))))
(pow.f64 (pow.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (/.f64 (+.f64 x y) z)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (*.f64 x (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 y x)))) (sqrt.f64 (/.f64 (+.f64 y x) z))))
(pow.f64 (sqrt.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (/.f64 (+.f64 x y) z))))) #s(literal 2 binary64))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (*.f64 x (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 y x)))) (sqrt.f64 (/.f64 (+.f64 y x) z))))
(sqrt.f64 (pow.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (/.f64 (+.f64 x y) z)))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (*.f64 x (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 y x)))) (sqrt.f64 (/.f64 (+.f64 y x) z)))) #s(literal 2 binary64)))
(fabs.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (*.f64 x (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 y x)))) (sqrt.f64 (/.f64 (+.f64 y x) z)))))
(log.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (/.f64 (+.f64 x y) z)))) z))
(log.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (*.f64 x (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 y x)))) (sqrt.f64 (/.f64 (+.f64 y x) z)))) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (/.f64 (+.f64 x y) z)))))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (*.f64 x (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 y x)))) (sqrt.f64 (/.f64 (+.f64 y x) z))))
(cbrt.f64 (pow.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (/.f64 (+.f64 x y) z)))) #s(literal 3 binary64)))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (*.f64 x (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 y x)))) (sqrt.f64 (/.f64 (+.f64 y x) z))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (/.f64 (+.f64 x y) z))) #s(literal 3 binary64))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (*.f64 x (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 y x)))) (sqrt.f64 (/.f64 (+.f64 y x) z))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (/.f64 (+.f64 x y) z))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (*.f64 x (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 y x)))) (sqrt.f64 (/.f64 (+.f64 y x) z))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (/.f64 (+.f64 x y) z))))))
(expm1.f64 (log1p.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (*.f64 x (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 y x)))) (sqrt.f64 (/.f64 (+.f64 y x) z))))))
(log1p.f64 (expm1.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (/.f64 (+.f64 x y) z))))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (*.f64 x (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 y x)))) (sqrt.f64 (/.f64 (+.f64 y x) z))))
(exp.f64 (log.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (/.f64 (+.f64 x y) z))))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (*.f64 x (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 y x)))) (sqrt.f64 (/.f64 (+.f64 y x) z))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))))) (sqrt.f64 (/.f64 (+.f64 x y) z))))) #s(literal 1 binary64)))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (*.f64 x (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 y x)))) (sqrt.f64 (/.f64 (+.f64 y x) z))))
(fma.f64 z (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 z (/.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y)))))
(*.f64 z (+.f64 (*.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x)))) (sqrt.f64 (/.f64 (+.f64 y x) z))))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) z (*.f64 z (/.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y)))))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) z (*.f64 z (*.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 (*.f64 x (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 y x))))))
(/.f64 (*.f64 (*.f64 x y) (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y)))
(/.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal -3/2 binary64)))) (sqrt.f64 (+.f64 y x)))
(/.f64 (*.f64 (pow.f64 z #s(literal -3/2 binary64)) (*.f64 x y)) (sqrt.f64 (+.f64 x y)))
(*.f64 (pow.f64 z #s(literal -3/2 binary64)) (/.f64 (*.f64 x y) (sqrt.f64 (+.f64 y x))))
(pow.f64 (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))))) #s(literal 1 binary64))
(*.f64 y (/.f64 (*.f64 x (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 y x))))
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y)))))) #s(literal 3 binary64))
(*.f64 y (/.f64 (*.f64 x (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 y x))))
(pow.f64 (pow.f64 (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 y (/.f64 (*.f64 x (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 y x))))
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y)))))) #s(literal 2 binary64))
(*.f64 y (/.f64 (*.f64 x (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 y x))))
(sqrt.f64 (*.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 y x)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) y) (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y)))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) y) (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))))))))
(*.f64 y (/.f64 (*.f64 x (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 y x))))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))))) #s(literal 3 binary64)))
(*.f64 y (/.f64 (*.f64 x (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 y x))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 y x)) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 y x)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y)))))))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 (*.f64 x (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 y x))))))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y)))))))
(*.f64 y (/.f64 (*.f64 x (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 y x))))
(exp.f64 (log.f64 (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y)))))))
(*.f64 y (/.f64 (*.f64 x (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 y x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y)))))) #s(literal 1 binary64)))
(*.f64 y (/.f64 (*.f64 x (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 y x))))

eval1.8s (10.1%)

Compiler

Compiled 69139 to 39727 computations (42.5% saved)

prune638.0ms (3.7%)

Pruning

28 alts after pruning (25 fresh and 3 done)

PrunedKeptTotal
New1167201187
Fresh8513
Picked325
Done011
Total1178281206
Accuracy
98.4%
Counts
1206 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.3%
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) (+.f64 z x))) (sqrt.f64 (*.f64 z x))))
40.2%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 z x))) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
3.5%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
41.4%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
48.7%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (exp.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)))
50.3%
(*.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 z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) #s(literal 2 binary64)))
32.5%
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 x y)))) #s(literal 3 binary64)))
40.9%
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x y))) #s(literal 3 binary64)))
31.9%
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 (/.f64 (+.f64 x y) z) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) z) (-.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (/.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y))))))
21.2%
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 y x) z) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x)))) #s(literal 3 binary64))) (/.f64 z (+.f64 (/.f64 (+.f64 y x) z) (*.f64 (*.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x)))) (-.f64 (*.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x)))) (sqrt.f64 (/.f64 (+.f64 y x) z))))))))
43.5%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))
1.1%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 x)))
41.2%
(*.f64 #s(literal 2 binary64) (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (sqrt.f64 (*.f64 x y)))))
33.6%
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) y)))))
30.0%
(*.f64 #s(literal 2 binary64) (*.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)))))))))
32.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 x y))) #s(literal 3 binary64))))
72.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
72.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x z (*.f64 y (+.f64 z x))) #s(literal 3/4 binary64)))))
33.1%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
56.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x (+.f64 y (*.f64 x (/.f64 y z)))))))
3.3%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
31.8%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
41.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
20.3%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z (*.f64 y (/.f64 z x))))))
42.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
35.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 z (+.f64 y x)))))
30.9%
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64))))
24.9%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3/2 binary64))))
Compiler

Compiled 997 to 693 computations (30.5% saved)

localize480.0ms (2.8%)

Localize:

Found 14 expressions with local error:

NewAccuracyProgram
99.8%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) (+.f64 z x))
99.8%
(/.f64 #s(literal 1 binary64) (*.f64 z x))
96.4%
(sqrt.f64 (*.f64 z x))
96.3%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))
99.5%
(cbrt.f64 (sqrt.f64 (*.f64 x y)))
99.4%
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x y))) #s(literal 3 binary64))
90.2%
(sqrt.f64 (*.f64 x y))
100.0%
(*.f64 z (+.f64 y x))
93.1%
(sqrt.f64 (fabs.f64 (*.f64 z (+.f64 y x))))
87.4%
(sqrt.f64 (*.f64 y z))
99.8%
(*.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x z (*.f64 y (+.f64 z x))) #s(literal 3/4 binary64)))
94.9%
(pow.f64 (fma.f64 x z (*.f64 y (+.f64 z x))) #s(literal 3/4 binary64))
89.7%
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x z (*.f64 y (+.f64 z x))) #s(literal 3/4 binary64))))
89.5%
(pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64))
Results
116.0ms136×256invalid
216.0ms120×256valid
Compiler

Compiled 298 to 94 computations (68.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 344.0ms
ival-mult: 138.0ms (40.1% of total)
ival-pow: 83.0ms (24.1% of total)
composed: 74.0ms (21.5% of total)
ival-sqrt: 20.0ms (5.8% of total)
ival-div: 12.0ms (3.5% of total)
ival-add: 10.0ms (2.9% of total)
const: 4.0ms (1.2% of total)
ival-cbrt: 2.0ms (0.6% of total)
ival-fabs: 1.0ms (0.3% of total)

series237.0ms (1.4%)

Counts
12 → 304
Calls
Call 1
Inputs
#<alt (sqrt.f64 (*.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x z (*.f64 y (+.f64 z x))) #s(literal 3/4 binary64))))>
#<alt (pow.f64 (fma.f64 x z (*.f64 y (+.f64 z x))) #s(literal 3/4 binary64))>
#<alt (*.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x z (*.f64 y (+.f64 z x))) #s(literal 3/4 binary64)))>
#<alt (sqrt.f64 (*.f64 y z))>
#<alt (sqrt.f64 (fabs.f64 (*.f64 z (+.f64 y x))))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x y))) #s(literal 3 binary64))>
#<alt (cbrt.f64 (sqrt.f64 (*.f64 x y)))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))>
#<alt (sqrt.f64 (*.f64 z x))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 z x))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) (+.f64 z x))>
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)))))))>
#<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 y))>
#<alt (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 z (+.f64 x y)))))>
#<alt (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 z (+.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 y #s(literal 3 binary64))))) (*.f64 z (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 x y))))))>
#<alt (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 x y))) (*.f64 z (+.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 y #s(literal 3 binary64))))) (pow.f64 (+.f64 x y) #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 y #s(literal 5 binary64))))) (*.f64 z (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))))))>
#<alt (sqrt.f64 (*.f64 z (+.f64 x y)))>
#<alt (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.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))))))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (+.f64 (*.f64 #s(literal -1/8 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 #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)))))))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (+.f64 (*.f64 #s(literal -1/8 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 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 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 #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))))))))))>
#<alt (*.f64 #s(literal -1 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))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 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))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) z)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 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 1/2 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))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) z)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 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 1/16 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 1/2 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))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) z)) (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 x z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
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#<alt (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 y) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 y) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 y) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 y) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))>
#<alt (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 x) (log.f64 y))))>
#<alt (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 x) (log.f64 y))))>
#<alt (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 x) (log.f64 y))))>
#<alt (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 x) (log.f64 y))))>
#<alt (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 x) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))))>
#<alt (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 x) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))))>
#<alt (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 x) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))))>
#<alt (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 x) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))))>
#<alt (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 x) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 x) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 x) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 x) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (sqrt.f64 (*.f64 x z))>
#<alt (sqrt.f64 (*.f64 x z))>
#<alt (sqrt.f64 (*.f64 x z))>
#<alt (sqrt.f64 (*.f64 x z))>
#<alt (sqrt.f64 (*.f64 x z))>
#<alt (sqrt.f64 (*.f64 x z))>
#<alt (sqrt.f64 (*.f64 x z))>
#<alt (sqrt.f64 (*.f64 x z))>
#<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 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<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 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (*.f64 x z))>
#<alt (sqrt.f64 (*.f64 x z))>
#<alt (sqrt.f64 (*.f64 x z))>
#<alt (sqrt.f64 (*.f64 x z))>
#<alt (sqrt.f64 (*.f64 x z))>
#<alt (sqrt.f64 (*.f64 x z))>
#<alt (sqrt.f64 (*.f64 x z))>
#<alt (sqrt.f64 (*.f64 x z))>
#<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 (sqrt.f64 (*.f64 x z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<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 (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 z))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x z))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x z))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x z))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x z))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x z))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x z))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x z))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x z))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x z))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x z))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x z))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x z))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x z))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x z))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x z))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x z))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x z))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x z))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x z))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x z))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x z))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x z))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x z))>
#<alt (sqrt.f64 (/.f64 x z))>
#<alt (/.f64 (+.f64 (sqrt.f64 (*.f64 x z)) (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x))) z)>
#<alt (/.f64 (+.f64 (sqrt.f64 (*.f64 x z)) (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x))) z)>
#<alt (/.f64 (+.f64 (sqrt.f64 (*.f64 x z)) (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x))) z)>
#<alt (sqrt.f64 (/.f64 z x))>
#<alt (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))))))>
#<alt (*.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 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.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 z x))>
#<alt (/.f64 (+.f64 (sqrt.f64 (*.f64 x z)) (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) z))) x)>
#<alt (/.f64 (+.f64 (sqrt.f64 (*.f64 x z)) (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) z))) x)>
#<alt (/.f64 (+.f64 (sqrt.f64 (*.f64 x z)) (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) z))) x)>
#<alt (sqrt.f64 (/.f64 x z))>
#<alt (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64))))))>
#<alt (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64))))))>
#<alt (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64))))))>
#<alt (*.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 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))) (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 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))) (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 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
Calls

84 calls:

TimeVariablePointExpression
91.0ms
x
@0
(cbrt (sqrt (* x y)))
33.0ms
y
@0
(cbrt (sqrt (* x y)))
18.0ms
y
@-inf
(sqrt (* (pow (+ (* x z) (* y (+ x z))) 1/4) (pow (+ (* x z) (* y (+ z x))) 3/4)))
12.0ms
z
@inf
(pow (+ (* x z) (* y (+ z x))) 3/4)
7.0ms
y
@inf
(cbrt (sqrt (* x y)))

rewrite335.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
690×log1p-expm1-u
239×expm1-log1p-u
231×pow1
230×add-exp-log
230×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040426
1641304
27428304
Stop Event
node limit
Counts
12 → 342
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x z (*.f64 y (+.f64 z x))) #s(literal 3/4 binary64))))
(pow.f64 (fma.f64 x z (*.f64 y (+.f64 z x))) #s(literal 3/4 binary64))
(*.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x z (*.f64 y (+.f64 z x))) #s(literal 3/4 binary64)))
(sqrt.f64 (*.f64 y z))
(sqrt.f64 (fabs.f64 (*.f64 z (+.f64 y x))))
(sqrt.f64 (*.f64 x y))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x y))) #s(literal 3 binary64))
(cbrt.f64 (sqrt.f64 (*.f64 x y)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))
(sqrt.f64 (*.f64 z x))
(/.f64 #s(literal 1 binary64) (*.f64 z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) (+.f64 z x))
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))) #s(literal 1 binary64))
(*.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 3/4 binary64))) (cbrt.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 3/4 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) (cbrt.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(*.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 3/8 binary64)))
(*.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 3/8 binary64)) (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1 binary64))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/8 binary64))) (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(*.f64 (*.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) (cbrt.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))) (cbrt.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64))))
(pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 3/4 binary64))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))) #s(literal 1 binary64))
(fabs.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))))
(cbrt.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 3/2 binary64)))
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(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x z))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x z))) (cbrt.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x z) #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x z))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 x z) #s(literal -2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x z)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 x z)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (*.f64 x z))))
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x z))) (cbrt.f64 (sqrt.f64 (*.f64 x z))))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 x (neg.f64 z))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (sqrt.f64 x))
(pow.f64 (*.f64 x z) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 x z)) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(fabs.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x z))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x z)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x z)))
(*.f64 (sqrt.f64 (*.f64 x z)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x z))) (cbrt.f64 (*.f64 x z)))
(*.f64 (cbrt.f64 (*.f64 x z)) (cbrt.f64 (sqrt.f64 (*.f64 x z))))
(*.f64 (sqrt.f64 x) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (sqrt.f64 x))
(*.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 x z)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 x z))))
(pow.f64 (*.f64 x z) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 x z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x z) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 x z)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 x z)))))
(cbrt.f64 (pow.f64 (*.f64 x z) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x z))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x z))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x z))))
(exp.f64 (*.f64 (log.f64 (*.f64 x z)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) #s(literal 1 binary64))
(*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 z))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x z))) (cbrt.f64 (pow.f64 (*.f64 x z) #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x z))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x z) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x z))))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (sqrt.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)))) (sqrt.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))))
(*.f64 (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x z)))) (cbrt.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))))
(pow.f64 (*.f64 x z) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x z) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x z)))
(sqrt.f64 (pow.f64 (*.f64 x z) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x)))
(exp.f64 (neg.f64 (log.f64 (*.f64 x z))))
(exp.f64 (*.f64 (log.f64 (*.f64 x z)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x z))) #s(literal 1 binary64)))
(+.f64 (/.f64 z (sqrt.f64 (*.f64 x z))) (/.f64 x (sqrt.f64 (*.f64 x z))))
(+.f64 (/.f64 x (sqrt.f64 (*.f64 x z))) (/.f64 z (sqrt.f64 (*.f64 x z))))
(+.f64 (*.f64 (/.f64 z (sqrt.f64 (*.f64 x z))) #s(literal 1 binary64)) (*.f64 (/.f64 x (sqrt.f64 (*.f64 x z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x z) (sqrt.f64 (*.f64 x z))))) #s(literal 1 binary64))
(/.f64 (+.f64 x z) (sqrt.f64 (*.f64 x z)))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 (*.f64 x z)) (fma.f64 z z (*.f64 x (-.f64 x z)))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 (*.f64 x z)) (fma.f64 x x (*.f64 z (-.f64 z x)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 (sqrt.f64 (*.f64 x z)) (-.f64 z x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (sqrt.f64 (*.f64 x z)) (-.f64 x z)))
(/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 z z (*.f64 x (-.f64 x z))) (sqrt.f64 (*.f64 x z))))
(/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (*.f64 z (-.f64 z x))) (sqrt.f64 (*.f64 x z))))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 z x) (sqrt.f64 (*.f64 x z))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 x z) (sqrt.f64 (*.f64 x z))))
(/.f64 (+.f64 (pow.f64 (/.f64 z (sqrt.f64 (*.f64 x z))) #s(literal 3 binary64)) (pow.f64 (/.f64 x (sqrt.f64 (*.f64 x z))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 z (sqrt.f64 (*.f64 x z))) (/.f64 z (sqrt.f64 (*.f64 x z)))) (-.f64 (*.f64 (/.f64 x (sqrt.f64 (*.f64 x z))) (/.f64 x (sqrt.f64 (*.f64 x z)))) (*.f64 (/.f64 z (sqrt.f64 (*.f64 x z))) (/.f64 x (sqrt.f64 (*.f64 x z)))))))
(/.f64 (-.f64 (*.f64 (/.f64 z (sqrt.f64 (*.f64 x z))) (/.f64 z (sqrt.f64 (*.f64 x z)))) (*.f64 (/.f64 x (sqrt.f64 (*.f64 x z))) (/.f64 x (sqrt.f64 (*.f64 x z))))) (-.f64 (/.f64 z (sqrt.f64 (*.f64 x z))) (/.f64 x (sqrt.f64 (*.f64 x z)))))
(/.f64 (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 z z (*.f64 x (-.f64 x z))))
(/.f64 (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (*.f64 z (-.f64 z x))))
(/.f64 (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (-.f64 z x))
(/.f64 (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (-.f64 x z))
(/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) (fma.f64 z z (*.f64 x (-.f64 x z))))
(/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) (fma.f64 x x (*.f64 z (-.f64 z x))))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) (-.f64 z x))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) (-.f64 x z))
(pow.f64 (/.f64 (+.f64 x z) (sqrt.f64 (*.f64 x z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x z) (sqrt.f64 (*.f64 x z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 x z) (sqrt.f64 (*.f64 x z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x z) (sqrt.f64 (*.f64 x z)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x z) (sqrt.f64 (*.f64 x z))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (+.f64 x z) (sqrt.f64 (*.f64 x z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 x z) (sqrt.f64 (*.f64 x z))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x z) (sqrt.f64 (*.f64 x z))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) #s(literal 3/2 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x z) (sqrt.f64 (*.f64 x z)))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x z) (sqrt.f64 (*.f64 x z)))))
(exp.f64 (log.f64 (/.f64 (+.f64 x z) (sqrt.f64 (*.f64 x z)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x z) (sqrt.f64 (*.f64 x z)))) #s(literal 1 binary64)))
(fma.f64 z (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (/.f64 x (sqrt.f64 (*.f64 x z))))
(fma.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) z (/.f64 x (sqrt.f64 (*.f64 x z))))

simplify486.0ms (2.8%)

Algorithm
egg-herbie
Rules
543×*-commutative
415×times-frac
261×associate-+r+
233×+-commutative
224×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0157041772
1446940333
Stop Event
node limit
Counts
646 → 687
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)))))))
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(*.f64 (sqrt.f64 z) (sqrt.f64 x))
(*.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 x z)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 x z))))
(pow.f64 (*.f64 x z) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 x z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x z) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 x z)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 x z)))))
(cbrt.f64 (pow.f64 (*.f64 x z) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x z))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x z))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x z))))
(exp.f64 (*.f64 (log.f64 (*.f64 x z)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) #s(literal 1 binary64))
(*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 z))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x z))) (cbrt.f64 (pow.f64 (*.f64 x z) #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x z))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x z) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x z))))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (sqrt.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)))) (sqrt.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))))
(*.f64 (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x z)))) (cbrt.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))))
(pow.f64 (*.f64 x z) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x z) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x z)))
(sqrt.f64 (pow.f64 (*.f64 x z) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x)))
(exp.f64 (neg.f64 (log.f64 (*.f64 x z))))
(exp.f64 (*.f64 (log.f64 (*.f64 x z)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x z))) #s(literal 1 binary64)))
(+.f64 (/.f64 z (sqrt.f64 (*.f64 x z))) (/.f64 x (sqrt.f64 (*.f64 x z))))
(+.f64 (/.f64 x (sqrt.f64 (*.f64 x z))) (/.f64 z (sqrt.f64 (*.f64 x z))))
(+.f64 (*.f64 (/.f64 z (sqrt.f64 (*.f64 x z))) #s(literal 1 binary64)) (*.f64 (/.f64 x (sqrt.f64 (*.f64 x z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x z) (sqrt.f64 (*.f64 x z))))) #s(literal 1 binary64))
(/.f64 (+.f64 x z) (sqrt.f64 (*.f64 x z)))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 (*.f64 x z)) (fma.f64 z z (*.f64 x (-.f64 x z)))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 (*.f64 x z)) (fma.f64 x x (*.f64 z (-.f64 z x)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 (sqrt.f64 (*.f64 x z)) (-.f64 z x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (*.f64 (sqrt.f64 (*.f64 x z)) (-.f64 x z)))
(/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 z z (*.f64 x (-.f64 x z))) (sqrt.f64 (*.f64 x z))))
(/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (*.f64 z (-.f64 z x))) (sqrt.f64 (*.f64 x z))))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 z x) (sqrt.f64 (*.f64 x z))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 x z) (sqrt.f64 (*.f64 x z))))
(/.f64 (+.f64 (pow.f64 (/.f64 z (sqrt.f64 (*.f64 x z))) #s(literal 3 binary64)) (pow.f64 (/.f64 x (sqrt.f64 (*.f64 x z))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 z (sqrt.f64 (*.f64 x z))) (/.f64 z (sqrt.f64 (*.f64 x z)))) (-.f64 (*.f64 (/.f64 x (sqrt.f64 (*.f64 x z))) (/.f64 x (sqrt.f64 (*.f64 x z)))) (*.f64 (/.f64 z (sqrt.f64 (*.f64 x z))) (/.f64 x (sqrt.f64 (*.f64 x z)))))))
(/.f64 (-.f64 (*.f64 (/.f64 z (sqrt.f64 (*.f64 x z))) (/.f64 z (sqrt.f64 (*.f64 x z)))) (*.f64 (/.f64 x (sqrt.f64 (*.f64 x z))) (/.f64 x (sqrt.f64 (*.f64 x z))))) (-.f64 (/.f64 z (sqrt.f64 (*.f64 x z))) (/.f64 x (sqrt.f64 (*.f64 x z)))))
(/.f64 (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 z z (*.f64 x (-.f64 x z))))
(/.f64 (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (*.f64 z (-.f64 z x))))
(/.f64 (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (-.f64 z x))
(/.f64 (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (-.f64 x z))
(/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) (fma.f64 z z (*.f64 x (-.f64 x z))))
(/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) (fma.f64 x x (*.f64 z (-.f64 z x))))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) (-.f64 z x))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) (-.f64 x z))
(pow.f64 (/.f64 (+.f64 x z) (sqrt.f64 (*.f64 x z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x z) (sqrt.f64 (*.f64 x z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 x z) (sqrt.f64 (*.f64 x z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x z) (sqrt.f64 (*.f64 x z)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x z) (sqrt.f64 (*.f64 x z))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (+.f64 x z) (sqrt.f64 (*.f64 x z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 x z) (sqrt.f64 (*.f64 x z))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x z) (sqrt.f64 (*.f64 x z))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) #s(literal 3/2 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x z) (sqrt.f64 (*.f64 x z)))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x z) (sqrt.f64 (*.f64 x z)))))
(exp.f64 (log.f64 (/.f64 (+.f64 x z) (sqrt.f64 (*.f64 x z)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x z) (sqrt.f64 (*.f64 x z)))) #s(literal 1 binary64)))
(fma.f64 z (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (/.f64 x (sqrt.f64 (*.f64 x z))))
(fma.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) z (/.f64 x (sqrt.f64 (*.f64 x z))))
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 (*.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 (*.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 (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 (*.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) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))))) (sqrt.f64 (*.f64 y z)))
(+.f64 (*.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) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 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)))))) (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 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 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) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 (*.f64 #s(literal 1/16 binary64) (*.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 y z)))
(+.f64 (*.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) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 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))))))))))) (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 (+.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 (/.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 #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)) (+.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 (/.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 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 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 #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 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 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 #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))))
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(pow.f64 (cbrt.f64 (/.f64 (+.f64 x z) (sqrt.f64 (*.f64 x z)))) #s(literal 3 binary64))
(/.f64 (+.f64 z x) (sqrt.f64 (*.f64 z x)))
(pow.f64 (pow.f64 (/.f64 (+.f64 x z) (sqrt.f64 (*.f64 x z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (+.f64 z x) (sqrt.f64 (*.f64 z x)))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x z) (sqrt.f64 (*.f64 x z)))) #s(literal 2 binary64))
(/.f64 (+.f64 z x) (sqrt.f64 (*.f64 z x)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x z) (sqrt.f64 (*.f64 x z))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 z x) (sqrt.f64 (*.f64 z x))) #s(literal 2 binary64)))
(fabs.f64 (/.f64 (+.f64 z x) (sqrt.f64 (*.f64 z x))))
(log.f64 (exp.f64 (/.f64 (+.f64 x z) (sqrt.f64 (*.f64 x z)))))
(/.f64 (+.f64 z x) (sqrt.f64 (*.f64 z x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 x z) (sqrt.f64 (*.f64 x z))))))
(/.f64 (+.f64 z x) (sqrt.f64 (*.f64 z x)))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x z) (sqrt.f64 (*.f64 x z))) #s(literal 3 binary64)))
(/.f64 (+.f64 z x) (sqrt.f64 (*.f64 z x)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 z x) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) #s(literal 3/2 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 z x) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x z) (sqrt.f64 (*.f64 x z)))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 z x) (sqrt.f64 (*.f64 z x)))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x z) (sqrt.f64 (*.f64 x z)))))
(/.f64 (+.f64 z x) (sqrt.f64 (*.f64 z x)))
(exp.f64 (log.f64 (/.f64 (+.f64 x z) (sqrt.f64 (*.f64 x z)))))
(/.f64 (+.f64 z x) (sqrt.f64 (*.f64 z x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x z) (sqrt.f64 (*.f64 x z)))) #s(literal 1 binary64)))
(/.f64 (+.f64 z x) (sqrt.f64 (*.f64 z x)))
(fma.f64 z (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (/.f64 x (sqrt.f64 (*.f64 x z))))
(fma.f64 z (pow.f64 (*.f64 z x) #s(literal -1/2 binary64)) (/.f64 x (sqrt.f64 (*.f64 z x))))
(fma.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) z (/.f64 x (sqrt.f64 (*.f64 x z))))
(fma.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64)) z (/.f64 x (sqrt.f64 (*.f64 z x))))

eval1.4s (8%)

Compiler

Compiled 39146 to 22242 computations (43.2% saved)

prune233.0ms (1.3%)

Pruning

32 alts after pruning (26 fresh and 6 done)

PrunedKeptTotal
New8659874
Fresh31720
Picked235
Done033
Total87032902
Accuracy
98.4%
Counts
902 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.3%
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (+.f64 z x) (sqrt.f64 (*.f64 z x)))) (sqrt.f64 (*.f64 z x))))
3.3%
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x z))) (+.f64 z x))) (sqrt.f64 (*.f64 z x))))
3.0%
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 x z)))) (sqrt.f64 (*.f64 z x))))
40.2%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
3.5%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
41.4%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
48.7%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (exp.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)))
50.3%
(*.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 z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) #s(literal 2 binary64)))
32.5%
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 x y)))) #s(literal 3 binary64)))
40.9%
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x y))) #s(literal 3 binary64)))
31.9%
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 (/.f64 (+.f64 x y) z) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) z) (-.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (/.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y))))))
21.2%
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 y x) z) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x)))) #s(literal 3 binary64))) (/.f64 z (+.f64 (/.f64 (+.f64 y x) z) (*.f64 (*.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x)))) (-.f64 (*.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x)))) (sqrt.f64 (/.f64 (+.f64 y x) z))))))))
43.5%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))
42.5%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 y)))
41.2%
(*.f64 #s(literal 2 binary64) (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (sqrt.f64 (*.f64 x y)))))
33.6%
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) y)))))
30.0%
(*.f64 #s(literal 2 binary64) (*.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)))))))))
32.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 x y))) #s(literal 3 binary64))))
72.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
42.1%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x z (*.f64 y (+.f64 z x))) #s(literal 3/4 binary64)))))
56.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 (+.f64 y x) (*.f64 x (/.f64 y z))))))
33.1%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
3.3%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
31.8%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
41.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
20.3%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z (*.f64 y (/.f64 z x))))))
42.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
34.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 x y))) #s(literal 3 binary64)))))
35.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 z (+.f64 y x)))))
30.9%
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 x y))) #s(literal 1/2 binary64))))
24.9%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3/2 binary64))))
23.7%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 z y) #s(literal 3/2 binary64))))
Compiler

Compiled 1086 to 759 computations (30.1% saved)

localize367.0ms (2.1%)

Localize:

Found 14 expressions with local error:

NewAccuracyProgram
93.4%
(*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) y)
90.3%
(*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) y))))
86.8%
(sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))))
83.0%
(sqrt.f64 (/.f64 (+.f64 y x) z))
99.8%
(*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (sqrt.f64 (*.f64 x y))))
99.5%
(cbrt.f64 (sqrt.f64 (*.f64 x y)))
90.2%
(sqrt.f64 (*.f64 x y))
89.8%
(cbrt.f64 (*.f64 x y))
99.7%
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64))
90.0%
(pow.f64 (*.f64 x y) #s(literal 1/4 binary64))
96.4%
(sqrt.f64 (*.f64 z x))
99.9%
(*.f64 x (/.f64 y z))
92.6%
(*.f64 z (+.f64 (+.f64 y x) (*.f64 x (/.f64 y z))))
89.7%
(sqrt.f64 (*.f64 z (+.f64 (+.f64 y x) (*.f64 x (/.f64 y z)))))
Results
163.0ms136×256invalid
108.0ms120×256valid
Compiler

Compiled 259 to 94 computations (63.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 217.0ms
ival-mult: 94.0ms (43.4% of total)
ival-pow: 68.0ms (31.4% of total)
ival-div: 21.0ms (9.7% of total)
ival-sqrt: 19.0ms (8.8% of total)
ival-add: 7.0ms (3.2% of total)
const: 4.0ms (1.8% of total)
ival-cbrt: 4.0ms (1.8% of total)

series232.0ms (1.3%)

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

75 calls:

TimeVariablePointExpression
90.0ms
x
@0
(* (cbrt (* x y)) (cbrt (sqrt (* x y))))
18.0ms
y
@-inf
(pow (* x y) 1/4)
16.0ms
x
@-inf
(pow (* x y) 1/4)
12.0ms
y
@0
(* (cbrt (* x y)) (cbrt (sqrt (* x y))))
9.0ms
y
@0
(pow (* x y) 1/4)

rewrite239.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
440×log1p-expm1-u
263×associate-*r*
241×expm1-log1p-u
236×add-cube-cbrt
233×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036327
1572315
27970315
Stop Event
node limit
Counts
10 → 250
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 z (+.f64 (+.f64 y x) (*.f64 x (/.f64 y z)))))
(*.f64 z (+.f64 (+.f64 y x) (*.f64 x (/.f64 y z))))
(*.f64 x (/.f64 y z))
(pow.f64 (*.f64 x y) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(cbrt.f64 (*.f64 x y))
(*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (sqrt.f64 (*.f64 x y))))
(sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) y))))
(*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) y)
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 y x)))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 y x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 y x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 y x))))) (cbrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 y x)))))
(*.f64 (cbrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 y x)))) (cbrt.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 y x))))))
(*.f64 (sqrt.f64 z) (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 y x))))
(*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 y x))) (sqrt.f64 z))
(*.f64 (pow.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 y x))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 y x))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 y x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 y x)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 y x)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 y x)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 y x))))))
(pow.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 y x))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 y x)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 y x))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 y x))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 y x))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 y x)))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 y x))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 y x)))))))
(cbrt.f64 (pow.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 y x))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 y x))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 y x))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 y x))))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 y x)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 y x))))) #s(literal 1 binary64)))
(+.f64 (*.f64 z (+.f64 y x)) (*.f64 (/.f64 y z) (*.f64 x z)))
(+.f64 (*.f64 (/.f64 y z) (*.f64 x z)) (*.f64 z (+.f64 y x)))
(+.f64 (*.f64 z y) (*.f64 z (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(+.f64 (*.f64 y z) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))) z))
(+.f64 (*.f64 (*.f64 z (+.f64 y x)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 y z) (*.f64 x z)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 y x))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y z) (*.f64 x z)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 z (+.f64 y x)) (*.f64 z (+.f64 y x))) (-.f64 (*.f64 (*.f64 (/.f64 y z) (*.f64 x z)) (*.f64 (/.f64 y z) (*.f64 x z))) (*.f64 (*.f64 z (+.f64 y x)) (*.f64 (/.f64 y z) (*.f64 x z))))))
(/.f64 (-.f64 (*.f64 (*.f64 z (+.f64 y x)) (*.f64 z (+.f64 y x))) (*.f64 (*.f64 (/.f64 y z) (*.f64 x z)) (*.f64 (/.f64 y z) (*.f64 x z)))) (-.f64 (*.f64 z (+.f64 y x)) (*.f64 (/.f64 y z) (*.f64 x z))))
(/.f64 (*.f64 z (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 y (/.f64 x z)) (-.f64 (*.f64 y (/.f64 x z)) (+.f64 y x)))))
(/.f64 (*.f64 z (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64)))) (-.f64 (+.f64 y x) (*.f64 y (/.f64 x z))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64))) z) (+.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 y (/.f64 x z)) (-.f64 (*.f64 y (/.f64 x z)) (+.f64 y x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64))) z) (-.f64 (+.f64 y x) (*.f64 y (/.f64 x z))))
(pow.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 y x))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 y x)))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 y x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 y x))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 y x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 y x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x (/.f64 y z) (+.f64 y x))) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 y x))))))
(cbrt.f64 (pow.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 y x))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 x (/.f64 y z) (+.f64 y x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (/.f64 y z) (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 y x)))))
(log1p.f64 (expm1.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 y x)))))
(exp.f64 (log.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 y x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (fma.f64 x (/.f64 y z) (+.f64 y x)))) #s(literal 1 binary64)))
(fma.f64 z (+.f64 y x) (*.f64 (/.f64 y z) (*.f64 x z)))
(fma.f64 (+.f64 y x) z (*.f64 (/.f64 y z) (*.f64 x z)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 x z)))) #s(literal 1 binary64))
(/.f64 x (/.f64 z y))
(/.f64 (*.f64 y x) z)
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x)))
(/.f64 (neg.f64 (*.f64 y x)) (neg.f64 z))
(/.f64 (/.f64 (*.f64 y x) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (*.f64 (neg.f64 y) x) (neg.f64 z))
(/.f64 (*.f64 x (neg.f64 y)) (neg.f64 z))
(/.f64 (/.f64 (*.f64 y x) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (*.f64 y x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(pow.f64 (*.f64 y (/.f64 x z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 x z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 y z)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 x z)))))
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 x z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 x z))))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 x z))))
(exp.f64 (log.f64 (*.f64 y (/.f64 x z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 x z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)) (pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1/6 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 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1/6 binary64)) (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (*.f64 y x) #s(literal 1/8 binary64)) (pow.f64 (*.f64 y x) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 y)))
(sqrt.f64 (sqrt.f64 (*.f64 y x)))
(fabs.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/4 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 y x))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 y x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 y x)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1 binary64))
(*.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 y x)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 (*.f64 y x) #s(literal 1/4 binary64))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y x)))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 y) (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 y x))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))) (cbrt.f64 (*.f64 y x))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x))) (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))))
(*.f64 (sqrt.f64 x) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (sqrt.f64 x))
(*.f64 (pow.f64 (*.f64 y x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 y x) #s(literal 1/8 binary64)) (pow.f64 (*.f64 y x) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 y x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 y x) #s(literal 1/8 binary64))) (pow.f64 (*.f64 y x) #s(literal 1/8 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))) (pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1/6 binary64)))
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(/.f64 (-.f64 (*.f64 (*.f64 z (sqrt.f64 (/.f64 (+.f64 y x) z))) (*.f64 z (sqrt.f64 (/.f64 (+.f64 y x) z)))) (*.f64 (*.f64 z (*.f64 (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64))) (*.f64 y #s(literal 1/2 binary64)))) (*.f64 z (*.f64 (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64))) (*.f64 y #s(literal 1/2 binary64)))))) (-.f64 (*.f64 z (sqrt.f64 (/.f64 (+.f64 y x) z))) (*.f64 z (*.f64 (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64))) (*.f64 y #s(literal 1/2 binary64))))))
(/.f64 (*.f64 z (+.f64 (pow.f64 (/.f64 (+.f64 y x) z) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (+.f64 (/.f64 (+.f64 y x) z) (*.f64 (*.f64 (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64))) (*.f64 y #s(literal 1/2 binary64))) (-.f64 (*.f64 (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64))) (*.f64 y #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 y x) z))))))
(/.f64 (*.f64 z (-.f64 (/.f64 (+.f64 y x) z) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (pow.f64 z #s(literal -3 binary64))) (pow.f64 y #s(literal 2 binary64)))))) (+.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 #s(literal -1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 y x) z) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))) z) (+.f64 (/.f64 (+.f64 y x) z) (*.f64 (*.f64 (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64))) (*.f64 y #s(literal 1/2 binary64))) (-.f64 (*.f64 (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64))) (*.f64 y #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 y x) z))))))
(/.f64 (*.f64 (-.f64 (/.f64 (+.f64 y x) z) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (pow.f64 z #s(literal -3 binary64))) (pow.f64 y #s(literal 2 binary64))))) z) (+.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 #s(literal -1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64)))))))
(pow.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64)))) (sqrt.f64 (/.f64 (+.f64 y x) z)))) #s(literal 1 binary64))
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(pow.f64 (sqrt.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64)))) (sqrt.f64 (/.f64 (+.f64 y x) z))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64)))) (sqrt.f64 (/.f64 (+.f64 y x) z)))) #s(literal 2 binary64)))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64)))) (sqrt.f64 (/.f64 (+.f64 y x) z)))))))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64)))))) #s(literal 1 binary64))
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(expm1.f64 (log1p.f64 (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64))))))
(exp.f64 (log.f64 (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64))))))
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simplify470.0ms (2.7%)

Algorithm
egg-herbie
Rules
932×times-frac
761×fma-define
428×distribute-lft-in
425×distribute-rgt-in
377×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
010654294993665
128594294992452
271754294992260
Stop Event
node limit
Counts
490 → 560
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 x y))
(+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 z (+.f64 x y)))))
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(sqrt.f64 (*.f64 (*.f64 x (pow.f64 z #s(literal -3 binary64))) (pow.f64 y #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 y) (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x (pow.f64 z #s(literal -3 binary64))) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (pow.f64 z #s(literal -3 binary64))) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64))))))
(exp.f64 (log.f64 (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64))))) #s(literal 1 binary64)))
Outputs
(sqrt.f64 (*.f64 x y))
(+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 z (+.f64 x y)))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (*.f64 z (+.f64 x y))) (sqrt.f64 (*.f64 x y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (*.f64 z (+.f64 x y))) (sqrt.f64 (*.f64 x y)))
(+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 z (+.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 y #s(literal 3 binary64))))) (*.f64 z (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 x y))))))
(+.f64 (*.f64 z (fma.f64 #s(literal -1/8 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 (+.f64 x y) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 x y))))) (sqrt.f64 (*.f64 x y)))
(fma.f64 z (fma.f64 (*.f64 #s(literal -1/8 binary64) (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 (+.f64 x y) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (+.f64 x y)))) (sqrt.f64 (*.f64 x y)))
(fma.f64 z (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))) (*.f64 z (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (+.f64 x y)))) (sqrt.f64 (*.f64 x y)))
(+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 x y))) (*.f64 z (+.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 y #s(literal 3 binary64))))) (pow.f64 (+.f64 x y) #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 y #s(literal 5 binary64))))) (*.f64 z (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))))))
(+.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 x y)) (*.f64 z (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (+.f64 x y) #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 y #s(literal 5 binary64))))) (*.f64 z (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))))) (sqrt.f64 (*.f64 x y)))
(fma.f64 z (fma.f64 z (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 5 binary64)))) (*.f64 z (pow.f64 (+.f64 x y) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (+.f64 x y)))) (sqrt.f64 (*.f64 x y)))
(fma.f64 z (fma.f64 z (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 5 binary64)))) (*.f64 z (pow.f64 (+.f64 x y) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (+.f64 x y)))) (sqrt.f64 (*.f64 x y)))
(sqrt.f64 (*.f64 z (+.f64 x y)))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.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 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))) (*.f64 x y))) (sqrt.f64 (/.f64 (+.f64 x y) z))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))) (*.f64 x y)) (sqrt.f64 (/.f64 (+.f64 x y) z))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (+.f64 (*.f64 #s(literal -1/8 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 #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 z (+.f64 (fma.f64 #s(literal -1/8 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 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))) (*.f64 x y)))) (sqrt.f64 (/.f64 (+.f64 x y) z))))
(*.f64 z (+.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x y) #s(literal 3 binary64))) (pow.f64 z #s(literal 5 binary64)))))) (sqrt.f64 (/.f64 (+.f64 x y) z))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (+.f64 (*.f64 #s(literal -1/8 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 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 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 #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 z (+.f64 (fma.f64 #s(literal -1/8 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 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64)))))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 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 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))) (*.f64 x y))))) (sqrt.f64 (/.f64 (+.f64 x y) z))))
(*.f64 z (+.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x y) #s(literal 3 binary64))) (pow.f64 z #s(literal 5 binary64))))) (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 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))))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))) (*.f64 x y)) (sqrt.f64 (/.f64 (+.f64 x y) z)))))
(*.f64 z (+.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x y) #s(literal 3 binary64))) (pow.f64 z #s(literal 5 binary64))))) (*.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 x y) #s(literal 3 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))))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))) (*.f64 x y)) (sqrt.f64 (/.f64 (+.f64 x y) z)))))
(*.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))))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z (+.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x (*.f64 y (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 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))))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 (*.f64 y (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 3 binary64)) (+.f64 x y)))))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 (+.f64 x y) z)))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y (neg.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))) (neg.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)))) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x (*.f64 y (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 3 binary64)) (+.f64 x y)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (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 (sqrt.f64 (/.f64 (+.f64 x y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 (*.f64 y (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 3 binary64)) (+.f64 x y)))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 (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 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))))))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 (+.f64 x y) z))))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))) (*.f64 y (neg.f64 x))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x y) #s(literal 3 binary64))) (pow.f64 z #s(literal 5 binary64)))) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (/.f64 (+.f64 x y) z))))) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x (*.f64 y (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 3 binary64)) (+.f64 x y)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (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 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 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 7 binary64)) (pow.f64 (+.f64 x y) #s(literal 5 binary64))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 (*.f64 y (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 3 binary64)) (+.f64 x y)))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 (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 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))))))) (fma.f64 #s(literal -1/16 binary64) (*.f64 (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 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #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 x y) z)))))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))) (*.f64 y (neg.f64 x))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x y) #s(literal 3 binary64))) (pow.f64 z #s(literal 5 binary64)))) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1/16 binary64) (*.f64 (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 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)))))) (neg.f64 z))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))) (*.f64 y (neg.f64 x))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x y) #s(literal 3 binary64))) (pow.f64 z #s(literal 5 binary64)))) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1/16 binary64) (*.f64 (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 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)))))) (neg.f64 z))
(sqrt.f64 (*.f64 x z))
(+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 z x)) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z))))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 z x)) (fma.f64 x (/.f64 y z) y)) (sqrt.f64 (*.f64 x z)))
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(/.f64 (*.f64 (sqrt.f64 x) y) (pow.f64 z #s(literal 3/2 binary64)))
(*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64))))
(pow.f64 (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64)))) #s(literal 1 binary64))
(*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64))))
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64))))) #s(literal 3 binary64))
(*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64))))
(pow.f64 (pow.f64 (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64))))
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64))))) #s(literal 2 binary64))
(*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64))))
(sqrt.f64 (*.f64 (*.f64 x (pow.f64 z #s(literal -3 binary64))) (pow.f64 y #s(literal 2 binary64))))
(sqrt.f64 (*.f64 x (*.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(log.f64 (pow.f64 (exp.f64 y) (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64)))))
(*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64)))))))
(*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64))))
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64)))) #s(literal 3 binary64)))
(*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x (pow.f64 z #s(literal -3 binary64))) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (pow.f64 z #s(literal -3 binary64))) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x (pow.f64 z #s(literal -3 binary64))) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64))))))
(*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64))))
(exp.f64 (log.f64 (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64))))))
(*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64))))) #s(literal 1 binary64)))
(*.f64 y (/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64))))

eval334.0ms (1.9%)

Compiler

Compiled 20637 to 11852 computations (42.6% saved)

prune265.0ms (1.5%)

Pruning

35 alts after pruning (26 fresh and 9 done)

PrunedKeptTotal
New76611777
Fresh61521
Picked235
Done066
Total77435809
Accuracy
98.5%
Counts
809 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.3%
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (+.f64 z x) (sqrt.f64 (*.f64 z x)))) (sqrt.f64 (*.f64 z x))))
3.3%
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x z))) (+.f64 z x))) (sqrt.f64 (*.f64 z x))))
3.0%
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 x z)))) (sqrt.f64 (*.f64 z x))))
23.2%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
3.5%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
48.1%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)))
50.3%
(*.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)))
3.3%
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x z))) #s(literal 3 binary64)))
40.9%
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x y))) #s(literal 3 binary64)))
31.9%
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 (/.f64 (+.f64 x y) z) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) z) (-.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (/.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y))))))
21.2%
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 y x) z) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x)))) #s(literal 3 binary64))) (/.f64 z (+.f64 (/.f64 (+.f64 y x) z) (*.f64 (*.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x)))) (-.f64 (*.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x)))) (sqrt.f64 (/.f64 (+.f64 y x) z))))))))
56.8%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 y x))) (sqrt.f64 z)))
43.5%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))
42.5%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 y)))
41.2%
(*.f64 #s(literal 2 binary64) (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (sqrt.f64 (*.f64 x y)))))
33.9%
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))))) (sqrt.f64 (/.f64 y z)))))
30.0%
(*.f64 #s(literal 2 binary64) (*.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)))))))))
1.3%
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x z)) y)))
32.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 x y))) #s(literal 3 binary64))))
72.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
42.1%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x z (*.f64 y (+.f64 z x))) #s(literal 3/4 binary64)))))
39.5%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
56.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 (+.f64 y x) (*.f64 x (/.f64 y z))))))
33.1%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
3.3%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
31.8%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
41.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
63.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (fma.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 z (/.f64 y x))))))
20.3%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z (*.f64 y (/.f64 z x))))))
42.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
34.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 x y))) #s(literal 3 binary64)))))
35.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 z (+.f64 y x)))))
3.3%
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 x z)) #s(literal 1/2 binary64))))
23.7%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 z y) #s(literal 3/2 binary64))))
3.3%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3/2 binary64))))
Compiler

Compiled 1578 to 936 computations (40.7% saved)

regimes312.0ms (1.8%)

Counts
61 → 3
Calls
Call 1
Inputs
(*.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 z x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x z)) y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z (*.f64 y (/.f64 z x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (/.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 (*.f64 x (+.f64 y (+.f64 z (*.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 z (+.f64 (+.f64 y x) (*.f64 x (/.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) (*.f64 (sqrt.f64 y) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 y)))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 z y) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 x z)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (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 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3/2 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) (sqrt.f64 (*.f64 x (fma.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 z (/.f64 y x))))))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x y))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x z))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 x y))) #s(literal 3 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 x y)))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (sqrt.f64 (*.f64 x y)))))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 y x))) (sqrt.f64 z)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 z x))) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) #s(literal 3 binary64)) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 x z)))) (sqrt.f64 (*.f64 z x))))
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (+.f64 z x) (sqrt.f64 (*.f64 z x)))) (sqrt.f64 (*.f64 z x))))
(*.f64 #s(literal 2 binary64) (*.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)))))))))
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))))) (sqrt.f64 (/.f64 y z)))))
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) (+.f64 z x))) (sqrt.f64 (*.f64 z x))))
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x z))) (+.f64 z x))) (sqrt.f64 (*.f64 z x))))
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) y)))))
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 z x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 z x)))))))))
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y x) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x))))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 x y))) #s(literal 3 binary64)))))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) #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) (sqrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x z (*.f64 y (+.f64 z x))) #s(literal 3/4 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 z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 x (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 z x))))) (sqrt.f64 (/.f64 (+.f64 z x) y)))))
(*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 y x)))))) (sqrt.f64 (/.f64 (+.f64 y x) z)))))
(*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (*.f64 y x) (*.f64 z (+.f64 y x))))))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (exp.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)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x z (*.f64 y (+.f64 z x))) #s(literal 3/4 binary64)))))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 (/.f64 (+.f64 x y) z) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) z) (-.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (/.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))))))
(*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 y x) z) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x)))) #s(literal 3 binary64))) (/.f64 z (+.f64 (/.f64 (+.f64 y x) z) (*.f64 (*.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x)))) (-.f64 (*.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x)))) (sqrt.f64 (/.f64 (+.f64 y x) 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 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 y x))) (sqrt.f64 z)))
Calls

6 calls:

133.0ms
x
46.0ms
y
35.0ms
(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
31.0ms
z
29.0ms
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
Results
AccuracySegmentsBranch
93.9%3x
97.5%3y
90.5%2z
85.6%2(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
85.6%2(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
85.6%2(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes88.0ms (0.5%)

Counts
49 → 2
Calls
Call 1
Inputs
(*.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 z x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x z)) y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z (*.f64 y (/.f64 z x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (/.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 (*.f64 x (+.f64 y (+.f64 z (*.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 z (+.f64 (+.f64 y x) (*.f64 x (/.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) (*.f64 (sqrt.f64 y) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 y)))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 z y) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 x z)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (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 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3/2 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) (sqrt.f64 (*.f64 x (fma.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 z (/.f64 y x))))))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x y))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x z))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 x y))) #s(literal 3 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 x y)))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (sqrt.f64 (*.f64 x y)))))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 y x))) (sqrt.f64 z)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 x z))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 x z (*.f64 y (+.f64 z x))) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) #s(literal 3 binary64)) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 x z)))) (sqrt.f64 (*.f64 z x))))
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (+.f64 z x) (sqrt.f64 (*.f64 z x)))) (sqrt.f64 (*.f64 z x))))
(*.f64 #s(literal 2 binary64) (*.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)))))))))
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))))) (sqrt.f64 (/.f64 y z)))))
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) (+.f64 z x))) (sqrt.f64 (*.f64 z x))))
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x z))) (+.f64 z x))) (sqrt.f64 (*.f64 z x))))
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) y)))))
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 z x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 z x)))))))))
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y x) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x))))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 x y))) #s(literal 3 binary64)))))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) #s(literal 3 binary64)))
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 y x))) (sqrt.f64 z)))
Calls

3 calls:

35.0ms
x
25.0ms
z
24.0ms
y
Results
AccuracySegmentsBranch
85.9%2z
83.3%2x
85.4%2y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes279.0ms (1.6%)

Counts
33 → 2
Calls
Call 1
Inputs
(*.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 z x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x z)) y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z (*.f64 y (/.f64 z x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (/.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 (*.f64 x (+.f64 y (+.f64 z (*.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 z (+.f64 (+.f64 y x) (*.f64 x (/.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) (*.f64 (sqrt.f64 y) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 y)))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 z y) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 x z)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (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 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3/2 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) (sqrt.f64 (*.f64 x (fma.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 z (/.f64 y x))))))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x y))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x z))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 x y))) #s(literal 3 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 x y)))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (sqrt.f64 (*.f64 x y)))))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/2 binary64))))
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z x)))))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))
Calls

5 calls:

188.0ms
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
33.0ms
y
20.0ms
z
16.0ms
(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
16.0ms
(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
Results
AccuracySegmentsBranch
85.1%2y
83.9%2(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
83.9%2(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
83.9%2(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
84.8%2z
Compiler

Compiled 54 to 34 computations (37% saved)

regimes43.0ms (0.2%)

Counts
19 → 2
Calls
Call 1
Inputs
(*.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 z x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x z)) y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z (*.f64 y (/.f64 z x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (/.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 (*.f64 x (+.f64 y (+.f64 z (*.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 z (+.f64 (+.f64 y x) (*.f64 x (/.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) (*.f64 (sqrt.f64 y) (sqrt.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 y)))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 z y) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 x z)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 z (+.f64 y x)))))
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 y)))
Calls

2 calls:

20.0ms
z
20.0ms
y
Results
AccuracySegmentsBranch
84.4%2z
84.7%2y
Compiler

Compiled 8 to 6 computations (25% saved)

regimes42.0ms (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 y z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x z)) y)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z (*.f64 y (/.f64 z x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (/.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 (*.f64 x (+.f64 y (+.f64 z (*.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 z (+.f64 (+.f64 y x) (*.f64 x (/.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) (*.f64 (sqrt.f64 y) (sqrt.f64 x)))
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
Calls

6 calls:

10.0ms
y
8.0ms
z
8.0ms
(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
5.0ms
(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
5.0ms
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
Results
AccuracySegmentsBranch
72.7%1x
72.7%1(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
72.7%1(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
72.7%1(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
72.7%1z
72.7%1y
Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes18.0ms (0.1%)

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

7.0ms
z
5.0ms
x
5.0ms
y
Results
AccuracySegmentsBranch
72.5%2y
68.9%2x
68.3%2z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

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

1 calls:

4.0ms
y
Results
AccuracySegmentsBranch
71.7%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 y z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
Calls

1 calls:

3.0ms
y
Results
AccuracySegmentsBranch
70.9%2y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes2.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

0.0ms
y
0.0ms
x
0.0ms
z
Results
AccuracySegmentsBranch
41.7%1z
41.7%1x
41.7%1y
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch83.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
40.0ms
-5.76321586978898e-219
-1.935337934813576e-232
33.0ms
-2.088533992708652e+80
-2.0409489707308536e+76
Results
31.0ms288×0valid
24.0ms263×0invalid
Compiler

Compiled 667 to 494 computations (25.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 17.0ms (61.2% of total)
ival-add: 6.0ms (21.6% of total)
ival-sqrt: 4.0ms (14.4% of total)
const: 1.0ms (3.6% of total)
backward-pass: 0.0ms (0% of total)

bsearch30.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
27.0ms
1.594649248208128e+62
2.4102693965061164e+71
Results
16.0ms144×0valid
5.0ms61×0invalid
Compiler

Compiled 329 to 223 computations (32.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 5.0ms (45.1% of total)
ival-add: 4.0ms (36.1% of total)
ival-sqrt: 2.0ms (18% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch62.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
57.0ms
-1.3767250447556901e-281
7.682371736439068e-274
Results
25.0ms225×0invalid
20.0ms192×0valid
Compiler

Compiled 395 to 280 computations (29.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 12.0ms (59.8% of total)
ival-add: 4.0ms (19.9% of total)
ival-sqrt: 3.0ms (15% of total)
const: 1.0ms (5% of total)
backward-pass: 0.0ms (0% of total)

bsearch28.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
26.0ms
4.912867068591157e+21
2.3210919449614625e+22
Results
10.0ms110×0invalid
10.0ms96×0valid
Compiler

Compiled 185 to 136 computations (26.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 7.0ms (63.4% of total)
ival-add: 2.0ms (18.1% of total)
ival-sqrt: 2.0ms (18.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch4.0ms (0%)

Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
4.0ms
-1.3767250447556901e-281
7.682371736439068e-274
Results
2.0ms16×0valid
1.0ms14×0invalid
Compiler

Compiled 47 to 34 computations (27.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-mult: 1.0ms (72.8% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
ival-sqrt: 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
45.0ms
7.682371736439068e-274
5.007621035258104e-261
Results
15.0ms201×0invalid
17.0ms160×0valid
Compiler

Compiled 243 to 186 computations (23.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 9.0ms (51.3% of total)
ival-add: 4.0ms (22.8% of total)
ival-sqrt: 4.0ms (22.8% of total)
const: 1.0ms (5.7% of total)
backward-pass: 0.0ms (0% of total)

bsearch52.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
48.0ms
-1.3767250447556901e-281
7.682371736439068e-274
Results
18.0ms200×0invalid
19.0ms192×0valid
Compiler

Compiled 263 to 208 computations (20.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 11.0ms (57.5% of total)
ival-add: 4.0ms (20.9% of total)
ival-sqrt: 3.0ms (15.7% of total)
const: 1.0ms (5.2% of total)
backward-pass: 0.0ms (0% of total)

simplify14.0ms (0.1%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
088781
1118777
2122777
3124777
4126777
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 y #s(literal -21000000000000000666875215562216806263882744488287404100544691266727756955648 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 -5593535921577141/27967679607885704301190218685229334463595448410322902860782665724913148442727445468110629165844363647880233895721679414135153184333079469434028345743715409785657103816385949318619923106913065211176796883038813718238213431256579671499373815533666304 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 y x))) (sqrt.f64 z)))))
(if (<=.f64 z #s(literal 174999999999999991856372523340933242247780861652094330981056512 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 y x))) (sqrt.f64 z))))
(if (<=.f64 y #s(literal 5486124068793689/21944496275174754733023745004748837080297570543729328280448007953824789527038691788660702798145451174453138901351488446979832735450978591612896414872982681198457994802840025058142360791167736098566050165049439180766375815715632675961171034001565824849041810386302038359368560295224574744242597208206082048 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z x))))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z))))
(if (<=.f64 y #s(literal 10499999999999998951424 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x))))) (*.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)))))
(if (<=.f64 y #s(literal -3269984763141685/326998476314168493941780105303955630664491214509745363599777340200912796363811072538207513066313433266477866490952498420772444240018406385375505907430986779905229729456305877240633380281444431820005925969026076507067319984967003404515550047182527554765966689382523869862684015858539562586584645632 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 5539569662801113/1107913932560222642718302084617242634394213707491304322373697056856707228094640652496493097019312046907692196808899173923175472949106175979816042319761510659592576951121881510274623639758153063707231876091920910184135845830200523203728421733043088080742988814006853038686339072 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 -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 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)))
Outputs
(if (<=.f64 y #s(literal -21000000000000000666875215562216806263882744488287404100544691266727756955648 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 -5593535921577141/27967679607885704301190218685229334463595448410322902860782665724913148442727445468110629165844363647880233895721679414135153184333079469434028345743715409785657103816385949318619923106913065211176796883038813718238213431256579671499373815533666304 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 y x))) (sqrt.f64 z)))))
(if (<=.f64 y #s(literal -21000000000000000666875215562216806263882744488287404100544691266727756955648 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (neg.f64 y)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64))) (if (<=.f64 y #s(literal -5593535921577141/27967679607885704301190218685229334463595448410322902860782665724913148442727445468110629165844363647880233895721679414135153184333079469434028345743715409785657103816385949318619923106913065211176796883038813718238213431256579671499373815533666304 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 y x) (*.f64 z (+.f64 y x))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 y x))) (sqrt.f64 z)))))
(if (<=.f64 y #s(literal -21000000000000000666875215562216806263882744488287404100544691266727756955648 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 -5593535921577141/27967679607885704301190218685229334463595448410322902860782665724913148442727445468110629165844363647880233895721679414135153184333079469434028345743715409785657103816385949318619923106913065211176796883038813718238213431256579671499373815533666304 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 y x) (*.f64 z (+.f64 y x))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 y x))) (sqrt.f64 z)))))
(if (<=.f64 z #s(literal 174999999999999991856372523340933242247780861652094330981056512 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 y x))) (sqrt.f64 z))))
(if (<=.f64 z #s(literal 174999999999999991856372523340933242247780861652094330981056512 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 y x) (*.f64 z (+.f64 y x))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (fma.f64 x (/.f64 y z) (+.f64 y x))) (sqrt.f64 z))))
(if (<=.f64 y #s(literal 5486124068793689/21944496275174754733023745004748837080297570543729328280448007953824789527038691788660702798145451174453138901351488446979832735450978591612896414872982681198457994802840025058142360791167736098566050165049439180766375815715632675961171034001565824849041810386302038359368560295224574744242597208206082048 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z x))))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z))))
(if (<=.f64 y #s(literal 5486124068793689/21944496275174754733023745004748837080297570543729328280448007953824789527038691788660702798145451174453138901351488446979832735450978591612896414872982681198457994802840025058142360791167736098566050165049439180766375815715632675961171034001565824849041810386302038359368560295224574744242597208206082048 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z x))))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 y x)))))
(if (<=.f64 y #s(literal 10499999999999998951424 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x))))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 y))))
(if (<=.f64 y #s(literal 10499999999999998951424 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 y x) (*.f64 z (+.f64 y x))))) (*.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 -3269984763141685/326998476314168493941780105303955630664491214509745363599777340200912796363811072538207513066313433266477866490952498420772444240018406385375505907430986779905229729456305877240633380281444431820005925969026076507067319984967003404515550047182527554765966689382523869862684015858539562586584645632 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 5539569662801113/1107913932560222642718302084617242634394213707491304322373697056856707228094640652496493097019312046907692196808899173923175472949106175979816042319761510659592576951121881510274623639758153063707231876091920910184135845830200523203728421733043088080742988814006853038686339072 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 -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 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)))

soundness2.3s (13.4%)

Rules
1211×log1p-expm1-u
843×fma-neg
772×associate-*r*
694×fma-define
690×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040426
1641304
27428304
036327
1572315
27970315
0157041772
1446940333
057590
1156534
2328530
3624530
41291530
51969530
62919530
73283530
83342530
93348530
103348530
040498
1624449
0229677479
1642074876
080844868
1231043179
025272
1403272
26109272
Stop Event
fuel
node limit
node limit
node limit
node limit
saturated
node limit
node limit
node limit
Compiler

Compiled 1304 to 546 computations (58.1% saved)

preprocess227.0ms (1.3%)

Compiler

Compiled 786 to 458 computations (41.7% saved)

end0.0ms (0%)

Profiling

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