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

Time bar (total: 12.0s)

analyze261.0ms (2.2%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
25%25%74.9%0.1%0%0%0%5
25%25%74.9%0.1%0%0%0%6
25%25%74.9%0.1%0%0%0%7
25%25%74.9%0.1%0%0%0%8
26.2%25%70.2%0.1%0%4.7%0%9
28.9%25%61.4%0.1%0%13.5%0%10
31.2%26.3%58%0.1%0%15.5%0%11
37.2%28.9%48.7%0.1%0%22.3%0%12
Compiler

Compiled 18 to 12 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 121.0ms
ival-mult: 73.0ms (60.3% of total)
ival-add: 26.0ms (21.5% of total)
ival-sqrt: 19.0ms (15.7% of total)
const: 2.0ms (1.7% of total)
backward-pass: 1.0ms (0.8% of total)

sample1.9s (15.9%)

Results
738.0ms8256×0valid
360.0ms4492×0invalid
Precisions
Click to see histograms. Total time spent on operations: 703.0ms
ival-mult: 384.0ms (54.6% of total)
ival-add: 180.0ms (25.6% of total)
ival-sqrt: 117.0ms (16.6% of total)
const: 18.0ms (2.6% of total)
backward-pass: 4.0ms (0.6% of total)
Bogosity

preprocess162.0ms (1.4%)

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)

explain254.0ms (2.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
670-0-(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
80-0-(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
40-0-(+.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
61.0ms512×0valid
Compiler

Compiled 139 to 37 computations (73.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 14.0ms (55.3% of total)
ival-add: 5.0ms (19.7% of total)
ival-sqrt: 5.0ms (19.7% of total)
const: 1.0ms (3.9% of total)
backward-pass: 0.0ms (0% 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
75.2%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
74.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
74.9%
(*.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)

localize147.0ms (1.2%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
100.0%
(fma.f64 x z (*.f64 y (+.f64 x z)))
75.2%
(sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))
98.8%
(+.f64 (*.f64 x y) (*.f64 x z))
97.5%
(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
75.2%
(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
100.0%
(*.f64 z (+.f64 y x))
97.2%
(+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))
75.2%
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x))))
Results
98.0ms256×0valid
Compiler

Compiled 147 to 27 computations (81.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-mult: 52.0ms (75.8% of total)
ival-add: 7.0ms (10.2% of total)
ival-sqrt: 6.0ms (8.7% of total)
ival-fma: 3.0ms (4.4% of total)
const: 1.0ms (1.5% of total)
backward-pass: 0.0ms (0% of total)

series164.0ms (1.4%)

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
18.0ms
x
@-inf
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
2.0ms
x
@-inf
(sqrt (+ (* x y) (* z (+ y x))))
2.0ms
y
@-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))))

rewrite484.0ms (4%)

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 x) (*.f64 (sqrt.f64 x) (+.f64 y z)))
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(*.f64 (+.f64 y z) x)
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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)))
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(-.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))))
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(*.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 (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))))))
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(/.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)))))
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(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)))

simplify540.0ms (4.5%)

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))

eval227.0ms (1.9%)

Compiler

Compiled 11759 to 5875 computations (50% saved)

prune101.0ms (0.8%)

Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New41320433
Fresh000
Picked303
Done000
Total41620436
Accuracy
87.5%
Counts
436 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.5%
(*.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))))
74.8%
(*.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)))
73.8%
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) #s(literal 3 binary64)))
38.7%
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))))))
40.6%
(*.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)))))
37.4%
(*.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))))))))
33.2%
(*.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)))))
29.2%
(*.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)))))))))
74.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) #s(literal 3 binary64)) (*.f64 y z))))
74.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (+.f64 y z))) (*.f64 y z))))
75.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (+.f64 y z) x) (*.f64 y z))))
48.2%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 y z)) #s(literal 3 binary64))) (*.f64 y z))))
39.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
64.3%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x (+.f64 y (*.f64 x (/.f64 y z)))))))
3.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
38.4%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
38.2%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
54.5%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z x)))))))
39.2%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
56.8%
(*.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 740 to 506 computations (31.6% saved)

localize346.0ms (2.9%)

Localize:

Found 9 expressions with local error:

NewAccuracyProgram
99.7%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) (+.f64 z x))
99.7%
(/.f64 #s(literal 1 binary64) (*.f64 z x))
95.6%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))
95.6%
(sqrt.f64 (*.f64 z x))
99.9%
(pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/2 binary64))
79.7%
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/2 binary64)))
91.1%
(sqrt.f64 (*.f64 z (+.f64 y x)))
86.1%
(sqrt.f64 (*.f64 y x))
88.1%
(sqrt.f64 (+.f64 (*.f64 (+.f64 y z) x) (*.f64 y z)))
Results
72.0ms128×0invalid
146.0ms128×0valid
Compiler

Compiled 232 to 72 computations (69% saved)

Precisions
Click to see histograms. Total time spent on operations: 172.0ms
ival-pow: 93.0ms (54.1% of total)
ival-mult: 27.0ms (15.7% of total)
ival-sqrt: 17.0ms (9.9% of total)
ival-div: 12.0ms (7% of total)
ival-fma: 8.0ms (4.7% of total)
ival-add: 6.0ms (3.5% of total)
ival-cbrt: 6.0ms (3.5% of total)
const: 3.0ms (1.7% of total)
backward-pass: 0.0ms (0% of total)

series80.0ms (0.7%)

Counts
9 → 264
Calls
Call 1
Inputs
#<alt (sqrt.f64 (+.f64 (*.f64 (+.f64 y z) x) (*.f64 y z)))>
#<alt (sqrt.f64 (*.f64 y x))>
#<alt (sqrt.f64 (*.f64 z (+.f64 y x)))>
#<alt (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/2 binary64)))>
#<alt (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/2 binary64))>
#<alt (sqrt.f64 (*.f64 z x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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 x z))>
#<alt (+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (*.f64 y (+.f64 x z)))))>
#<alt (+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 y (pow.f64 (+.f64 x z) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (+.f64 x z))))))>
#<alt (+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (+.f64 x z))) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64))))) (*.f64 y (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))))))>
#<alt (sqrt.f64 (*.f64 y (+.f64 x z)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (+.f64 x z) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)))) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) y)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) y)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 5 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) y)) (sqrt.f64 #s(literal -1 binary64))))))))>
#<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 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))))))>
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#<alt (sqrt.f64 (*.f64 x (+.f64 y z)))>
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#<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

66 calls:

TimeVariablePointExpression
5.0ms
x
@0
(pow (+ (* y (+ z x)) (* z x)) 3/2)
5.0ms
x
@-inf
(pow (+ (* y (+ z x)) (* z x)) 3/2)
4.0ms
y
@inf
(pow (+ (* y (+ z x)) (* z x)) 3/2)
4.0ms
x
@-inf
(sqrt (+ (* (+ y z) x) (* y z)))
4.0ms
z
@0
(sqrt (+ (* (+ y z) x) (* y z)))

rewrite340.0ms (2.8%)

Algorithm
batch-egg-rewrite
Rules
896×log1p-expm1-u
221×expm1-log1p-u
219×add-cube-cbrt
218×add-exp-log
217×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032271
1510255
26922255
Stop Event
node limit
Counts
9 → 240
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 (+.f64 y z) x) (*.f64 y z)))
(sqrt.f64 (*.f64 y x))
(sqrt.f64 (*.f64 z (+.f64 y x)))
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/2 binary64)))
(pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/2 binary64))
(sqrt.f64 (*.f64 z x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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 (+.f64 y z) x (*.f64 y z))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 (+.f64 y z) x (*.f64 y z))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (+.f64 y z) x (*.f64 y z))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (+.f64 y z) x (*.f64 y z)))) (cbrt.f64 (fma.f64 (+.f64 y z) x (*.f64 y z))))
(*.f64 (cbrt.f64 (fma.f64 (+.f64 y z) x (*.f64 y z))) (cbrt.f64 (sqrt.f64 (fma.f64 (+.f64 y z) x (*.f64 y z)))))
(*.f64 (pow.f64 (fma.f64 (+.f64 y z) x (*.f64 y z)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (+.f64 y z) x (*.f64 y z)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (+.f64 y z) x (*.f64 y z))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 (+.f64 y z) x (*.f64 y z)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 y z) x (*.f64 y z))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 (+.f64 y z) x (*.f64 y z)) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (fma.f64 (+.f64 y z) x (*.f64 y z)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (+.f64 y z) x) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (+.f64 y z) x (neg.f64 (*.f64 y z)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 y z) x) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y z) x) #s(literal 2 binary64)) (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) (*.f64 (+.f64 y z) x))))))
(pow.f64 (fma.f64 (+.f64 y z) x (*.f64 y z)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 y z) x (*.f64 y z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (+.f64 y z) x (*.f64 y z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (+.f64 y z) x (*.f64 y z)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (fma.f64 (+.f64 y z) x (*.f64 y z)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (fma.f64 (+.f64 y z) x (*.f64 y z))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 (+.f64 y z) x (*.f64 y z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 (+.f64 y z) x (*.f64 y z))))))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 y z) x (*.f64 y z)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 (+.f64 y z) x (*.f64 y z)))))
(hypot.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 (+.f64 y z) x)))
(hypot.f64 (sqrt.f64 (*.f64 (+.f64 y z) x)) (sqrt.f64 (*.f64 y z)))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 (+.f64 y z) x (*.f64 y z)))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 (+.f64 y z) x (*.f64 y z)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 y z) x (*.f64 y z))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (+.f64 y z) x (*.f64 y z)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 y x)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y x)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 y x))) (cbrt.f64 (*.f64 y x)))
(*.f64 (cbrt.f64 (*.f64 y x)) (cbrt.f64 (sqrt.f64 (*.f64 y x))))
(*.f64 (sqrt.f64 y) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 y))
(*.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 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 (cbrt.f64 (*.f64 y x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 y x))))
(pow.f64 (*.f64 y x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 y x)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 y x)))))
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 y x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 y x))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 y x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 z (+.f64 y x))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) (cbrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))))
(*.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 y x)))
(*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z))
(*.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 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 (+.f64 y x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 z (+.f64 y x)))))
(pow.f64 (*.f64 z (+.f64 y x)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 z (+.f64 y x))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 z (+.f64 y x))))))
(cbrt.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))))
(hypot.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 z x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x))))
(*.f64 (cbrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x))) (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))) (cbrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x))))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))) (sqrt.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))))
(pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))) #s(literal 2 binary64))
(sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))
(fabs.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x))))))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/2 binary64)))) #s(literal 1 binary64))
(*.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x))))
(*.f64 (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x))) (fma.f64 y (+.f64 z x) (*.f64 z x)))
(*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x))) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) (cbrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))) (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))))
(*.f64 (*.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) (sqrt.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x))))) (sqrt.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))))
(sqrt.f64 (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3 binary64)))
(log.f64 (exp.f64 (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/2 binary64))))
(exp.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 z x)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z x)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z x))) (cbrt.f64 (*.f64 z x)))
(*.f64 (cbrt.f64 (*.f64 z x)) (cbrt.f64 (sqrt.f64 (*.f64 z x))))
(*.f64 (sqrt.f64 x) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (sqrt.f64 x))
(*.f64 (pow.f64 (*.f64 z x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (*.f64 z x))))
(pow.f64 (*.f64 z x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 z x)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 z x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 z x)))))
(cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 z x))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 z x))))
(exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z)))
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z)) (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 z x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal -2 binary64)))) (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 z x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (*.f64 z x))))
(/.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z)) (cbrt.f64 (sqrt.f64 (*.f64 z x))))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))) (pow.f64 (*.f64 z x) #s(literal 1/4 binary64)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 z (neg.f64 x))))
(/.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 z x) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z x) #s(literal 3/2 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(fabs.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64)))))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z x) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 z x))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) z))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) #s(literal 1 binary64))
(*.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 z x) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (neg.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z)) (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z)) (*.f64 (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))) (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal -2 binary64))) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z)))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))) (pow.f64 (*.f64 z x) #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 (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64)) (sqrt.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64)))) (sqrt.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))))
(*.f64 (*.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64)) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z))) (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))))
(pow.f64 (*.f64 z x) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z x) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 z x)))
(sqrt.f64 (pow.f64 (*.f64 z x) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z)))
(exp.f64 (neg.f64 (log.f64 (*.f64 z x))))
(exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 z x))) #s(literal 1 binary64)))
(+.f64 (/.f64 z (sqrt.f64 (*.f64 z x))) (/.f64 x (sqrt.f64 (*.f64 z x))))
(+.f64 (/.f64 x (sqrt.f64 (*.f64 z x))) (/.f64 z (sqrt.f64 (*.f64 z x))))
(+.f64 (*.f64 (/.f64 z (sqrt.f64 (*.f64 z x))) #s(literal 1 binary64)) (*.f64 (/.f64 x (sqrt.f64 (*.f64 z x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 z x) (sqrt.f64 (*.f64 z x))))) #s(literal 1 binary64))
(/.f64 (+.f64 z x) (sqrt.f64 (*.f64 z x)))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 (*.f64 z x)) (fma.f64 z z (*.f64 x (-.f64 x z)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 (sqrt.f64 (*.f64 z x)) (-.f64 z x)))
(/.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 z x))))
(/.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 z x))))
(/.f64 (+.f64 (pow.f64 (/.f64 z (sqrt.f64 (*.f64 z x))) #s(literal 3 binary64)) (pow.f64 (/.f64 x (sqrt.f64 (*.f64 z x))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 z (sqrt.f64 (*.f64 z x))) (/.f64 z (sqrt.f64 (*.f64 z x)))) (-.f64 (*.f64 (/.f64 x (sqrt.f64 (*.f64 z x))) (/.f64 x (sqrt.f64 (*.f64 z x)))) (*.f64 (/.f64 z (sqrt.f64 (*.f64 z x))) (/.f64 x (sqrt.f64 (*.f64 z x)))))))
(/.f64 (-.f64 (*.f64 (/.f64 z (sqrt.f64 (*.f64 z x))) (/.f64 z (sqrt.f64 (*.f64 z x)))) (*.f64 (/.f64 x (sqrt.f64 (*.f64 z x))) (/.f64 x (sqrt.f64 (*.f64 z x))))) (-.f64 (/.f64 z (sqrt.f64 (*.f64 z x))) (/.f64 x (sqrt.f64 (*.f64 z x)))))
(/.f64 (*.f64 (pow.f64 (*.f64 z x) #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 z x) #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 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))) (fma.f64 z z (*.f64 x (-.f64 x z))))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))) (-.f64 z x))
(pow.f64 (/.f64 (+.f64 z x) (sqrt.f64 (*.f64 z x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 z x) (sqrt.f64 (*.f64 z x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 z x) (sqrt.f64 (*.f64 z x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 z x) (sqrt.f64 (*.f64 z x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 z x) (sqrt.f64 (*.f64 z x))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (+.f64 z x) (sqrt.f64 (*.f64 z x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 z x) (sqrt.f64 (*.f64 z x))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 z x) (sqrt.f64 (*.f64 z x))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 z x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z x) #s(literal 3/2 binary64)))))
(cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z x) #s(literal 3/2 binary64))) (pow.f64 (+.f64 z x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 z x) (sqrt.f64 (*.f64 z x)))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 z x) (sqrt.f64 (*.f64 z x)))))
(exp.f64 (log.f64 (/.f64 (+.f64 z x) (sqrt.f64 (*.f64 z x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 z x) (sqrt.f64 (*.f64 z x)))) #s(literal 1 binary64)))
(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 z x) #s(literal -1/2 binary64)) z (/.f64 x (sqrt.f64 (*.f64 z x))))

simplify365.0ms (3%)

Algorithm
egg-herbie
Rules
738×distribute-lft-in
731×distribute-rgt-in
523×*-commutative
254×associate-+r+
210×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0134335412
1382933259
Stop Event
node limit
Counts
504 → 612
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 x z))
(+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (*.f64 y (+.f64 x z)))))
(+.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 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))))))))))
(sqrt.f64 (*.f64 y (+.f64 x z)))
(*.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))))))))
(*.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)))))))))
(*.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))))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)))) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) y)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) y)) (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) #s(literal 5 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) z)) y)) (sqrt.f64 #s(literal -1 binary64))))))))
(sqrt.f64 (*.f64 x y))
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(*.f64 (pow.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x))) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) (cbrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))) (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))))
(*.f64 (*.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) (sqrt.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x))))) (sqrt.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))))
(sqrt.f64 (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3 binary64)))
(log.f64 (exp.f64 (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/2 binary64))))
(exp.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 z x)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z x)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z x))) (cbrt.f64 (*.f64 z x)))
(*.f64 (cbrt.f64 (*.f64 z x)) (cbrt.f64 (sqrt.f64 (*.f64 z x))))
(*.f64 (sqrt.f64 x) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (sqrt.f64 x))
(*.f64 (pow.f64 (*.f64 z x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (*.f64 z x))))
(pow.f64 (*.f64 z x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 z x)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 z x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 z x)))))
(cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 z x))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 z x))))
(exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z)))
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z)) (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 z x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal -2 binary64)))) (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 z x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (*.f64 z x))))
(/.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z)) (cbrt.f64 (sqrt.f64 (*.f64 z x))))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))) (pow.f64 (*.f64 z x) #s(literal 1/4 binary64)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 z (neg.f64 x))))
(/.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 z x) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z x) #s(literal 3/2 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(fabs.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64)))))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z x) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 z x))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) z))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) #s(literal 1 binary64))
(*.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 z x) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (neg.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z)) (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z)) (*.f64 (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))) (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal -2 binary64))) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z)))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))) (pow.f64 (*.f64 z x) #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 (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64)) (sqrt.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64)))) (sqrt.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))))
(*.f64 (*.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64)) (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z))) (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))))
(pow.f64 (*.f64 z x) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z x) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 z x)))
(sqrt.f64 (pow.f64 (*.f64 z x) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z)))
(exp.f64 (neg.f64 (log.f64 (*.f64 z x))))
(exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 z x))) #s(literal 1 binary64)))
(+.f64 (/.f64 z (sqrt.f64 (*.f64 z x))) (/.f64 x (sqrt.f64 (*.f64 z x))))
(+.f64 (/.f64 x (sqrt.f64 (*.f64 z x))) (/.f64 z (sqrt.f64 (*.f64 z x))))
(+.f64 (*.f64 (/.f64 z (sqrt.f64 (*.f64 z x))) #s(literal 1 binary64)) (*.f64 (/.f64 x (sqrt.f64 (*.f64 z x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 z x) (sqrt.f64 (*.f64 z x))))) #s(literal 1 binary64))
(/.f64 (+.f64 z x) (sqrt.f64 (*.f64 z x)))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 (*.f64 z x)) (fma.f64 z z (*.f64 x (-.f64 x z)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 (sqrt.f64 (*.f64 z x)) (-.f64 z x)))
(/.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 z x))))
(/.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 z x))))
(/.f64 (+.f64 (pow.f64 (/.f64 z (sqrt.f64 (*.f64 z x))) #s(literal 3 binary64)) (pow.f64 (/.f64 x (sqrt.f64 (*.f64 z x))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 z (sqrt.f64 (*.f64 z x))) (/.f64 z (sqrt.f64 (*.f64 z x)))) (-.f64 (*.f64 (/.f64 x (sqrt.f64 (*.f64 z x))) (/.f64 x (sqrt.f64 (*.f64 z x)))) (*.f64 (/.f64 z (sqrt.f64 (*.f64 z x))) (/.f64 x (sqrt.f64 (*.f64 z x)))))))
(/.f64 (-.f64 (*.f64 (/.f64 z (sqrt.f64 (*.f64 z x))) (/.f64 z (sqrt.f64 (*.f64 z x)))) (*.f64 (/.f64 x (sqrt.f64 (*.f64 z x))) (/.f64 x (sqrt.f64 (*.f64 z x))))) (-.f64 (/.f64 z (sqrt.f64 (*.f64 z x))) (/.f64 x (sqrt.f64 (*.f64 z x)))))
(/.f64 (*.f64 (pow.f64 (*.f64 z x) #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 z x) #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 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))) (fma.f64 z z (*.f64 x (-.f64 x z))))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))) (-.f64 z x))
(pow.f64 (/.f64 (+.f64 z x) (sqrt.f64 (*.f64 z x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 z x) (sqrt.f64 (*.f64 z x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 z x) (sqrt.f64 (*.f64 z x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 z x) (sqrt.f64 (*.f64 z x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 z x) (sqrt.f64 (*.f64 z x))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (+.f64 z x) (sqrt.f64 (*.f64 z x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 z x) (sqrt.f64 (*.f64 z x))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 z x) (sqrt.f64 (*.f64 z x))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 z x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z x) #s(literal 3/2 binary64)))))
(cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z x) #s(literal 3/2 binary64))) (pow.f64 (+.f64 z x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 z x) (sqrt.f64 (*.f64 z x)))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 z x) (sqrt.f64 (*.f64 z x)))))
(exp.f64 (log.f64 (/.f64 (+.f64 z x) (sqrt.f64 (*.f64 z x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 z x) (sqrt.f64 (*.f64 z x)))) #s(literal 1 binary64)))
(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 z x) #s(literal -1/2 binary64)) z (/.f64 x (sqrt.f64 (*.f64 z x))))
Outputs
(sqrt.f64 (*.f64 x z))
(+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (*.f64 y (+.f64 x z)))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z))) (*.f64 y (+.f64 x z))) (sqrt.f64 (*.f64 x z)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (+.f64 x z)) (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)))) (sqrt.f64 (*.f64 x z)))
(+.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 (*.f64 y (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 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 (/.f64 #s(literal 1 binary64) x) z)) (+.f64 x z))))) (sqrt.f64 (*.f64 x z)))
(+.f64 (*.f64 y (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x z) #s(literal 3 binary64)))) (*.f64 y (pow.f64 (+.f64 x z) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) (+.f64 x z)))) (sqrt.f64 (*.f64 x z)))
(+.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))))))))))
(+.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z)) (+.f64 x z)) (*.f64 y (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 z #s(literal 3 binary64))))) (pow.f64 (+.f64 x z) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (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)))))))) (sqrt.f64 (*.f64 x z)))
(+.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x z) (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) (*.f64 y (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x z) #s(literal 3 binary64)))) (pow.f64 (+.f64 x z) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/16 binary64) (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)))))))) (sqrt.f64 (*.f64 x z)))
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(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (*.f64 (sqrt.f64 (*.f64 x z)) (fma.f64 z z (*.f64 x (-.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 z x))))
(/.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 z x)) (sqrt.f64 (*.f64 x z)))
(/.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 (/.f64 z (sqrt.f64 (*.f64 z x))) #s(literal 3 binary64)) (pow.f64 (/.f64 x (sqrt.f64 (*.f64 z x))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 z (sqrt.f64 (*.f64 z x))) (/.f64 z (sqrt.f64 (*.f64 z x)))) (-.f64 (*.f64 (/.f64 x (sqrt.f64 (*.f64 z x))) (/.f64 x (sqrt.f64 (*.f64 z x)))) (*.f64 (/.f64 z (sqrt.f64 (*.f64 z x))) (/.f64 x (sqrt.f64 (*.f64 z x)))))))
(/.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))) (fma.f64 (/.f64 z (sqrt.f64 (*.f64 x z))) (/.f64 z (sqrt.f64 (*.f64 x z))) (*.f64 (/.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 (/.f64 z (sqrt.f64 (*.f64 z x))) (/.f64 z (sqrt.f64 (*.f64 z x)))) (*.f64 (/.f64 x (sqrt.f64 (*.f64 z x))) (/.f64 x (sqrt.f64 (*.f64 z x))))) (-.f64 (/.f64 z (sqrt.f64 (*.f64 z x))) (/.f64 x (sqrt.f64 (*.f64 z x)))))
(/.f64 (*.f64 (+.f64 (/.f64 z (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 z (sqrt.f64 (*.f64 x z))) (/.f64 x (sqrt.f64 (*.f64 x z)))))
(/.f64 (*.f64 (pow.f64 (*.f64 z x) #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 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (*.f64 (sqrt.f64 (*.f64 x z)) (fma.f64 z z (*.f64 x (-.f64 x z)))))
(/.f64 (*.f64 (pow.f64 (*.f64 z x) #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 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 z x)) (sqrt.f64 (*.f64 x z)))
(/.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 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))) (fma.f64 z z (*.f64 x (-.f64 x z))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (*.f64 (sqrt.f64 (*.f64 x z)) (fma.f64 z z (*.f64 x (-.f64 x z)))))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))) (-.f64 z x))
(/.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 z x)) (sqrt.f64 (*.f64 x z)))
(/.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)))
(pow.f64 (/.f64 (+.f64 z x) (sqrt.f64 (*.f64 z x))) #s(literal 1 binary64))
(/.f64 (+.f64 x z) (sqrt.f64 (*.f64 x z)))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 z x) (sqrt.f64 (*.f64 z x)))) #s(literal 3 binary64))
(/.f64 (+.f64 x z) (sqrt.f64 (*.f64 x z)))
(pow.f64 (pow.f64 (/.f64 (+.f64 z x) (sqrt.f64 (*.f64 z x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (+.f64 x z) (sqrt.f64 (*.f64 x z)))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 z x) (sqrt.f64 (*.f64 z x)))) #s(literal 2 binary64))
(/.f64 (+.f64 x z) (sqrt.f64 (*.f64 x z)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 z x) (sqrt.f64 (*.f64 z x))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x z) (sqrt.f64 (*.f64 x z))) #s(literal 2 binary64)))
(fabs.f64 (/.f64 (+.f64 x z) (sqrt.f64 (*.f64 x z))))
(log.f64 (exp.f64 (/.f64 (+.f64 z x) (sqrt.f64 (*.f64 z x)))))
(/.f64 (+.f64 x z) (sqrt.f64 (*.f64 x z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 z x) (sqrt.f64 (*.f64 z x))))))
(/.f64 (+.f64 x z) (sqrt.f64 (*.f64 x z)))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 z x) (sqrt.f64 (*.f64 z x))) #s(literal 3 binary64)))
(/.f64 (+.f64 x z) (sqrt.f64 (*.f64 x z)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 z x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z x) #s(literal 3/2 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x z) #s(literal 3/2 binary64)))))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z x) #s(literal 3/2 binary64))) (pow.f64 (+.f64 z x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x z) #s(literal 3/2 binary64)))))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 z x) (sqrt.f64 (*.f64 z x)))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x z) (sqrt.f64 (*.f64 x z)))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 z x) (sqrt.f64 (*.f64 z x)))))
(/.f64 (+.f64 x z) (sqrt.f64 (*.f64 x z)))
(exp.f64 (log.f64 (/.f64 (+.f64 z x) (sqrt.f64 (*.f64 z x)))))
(/.f64 (+.f64 x z) (sqrt.f64 (*.f64 x z)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 z x) (sqrt.f64 (*.f64 z x)))) #s(literal 1 binary64)))
(/.f64 (+.f64 x z) (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 z (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (/.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))))
(fma.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) z (/.f64 x (sqrt.f64 (*.f64 x z))))

eval448.0ms (3.7%)

Compiler

Compiled 22104 to 13159 computations (40.5% saved)

prune178.0ms (1.5%)

Pruning

29 alts after pruning (26 fresh and 3 done)

PrunedKeptTotal
New59121612
Fresh10515
Picked235
Done000
Total60329632
Accuracy
88.6%
Counts
632 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.6%
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (pow.f64 (cbrt.f64 (/.f64 (+.f64 z x) (sqrt.f64 (*.f64 z x)))) #s(literal 3 binary64))) (sqrt.f64 (*.f64 z x))))
3.6%
(*.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))))
3.6%
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64)) (+.f64 z x))) (sqrt.f64 (*.f64 z x))))
3.6%
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) z)) (cbrt.f64 (sqrt.f64 (*.f64 z x)))) (+.f64 z x))) (sqrt.f64 (*.f64 z x))))
3.6%
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 (exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 z x))) #s(literal 1/2 binary64))) (+.f64 z x))) (sqrt.f64 (*.f64 z x))))
3.2%
(*.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))))
39.6%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
38.2%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
38.9%
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)))
37.6%
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y x))) #s(literal 3 binary64)))
38.7%
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 z y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))))))))
50.9%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))
1.2%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 y) (sqrt.f64 x)))
37.8%
(*.f64 #s(literal 2 binary64) (*.f64 (fabs.f64 (cbrt.f64 (*.f64 x y))) (sqrt.f64 (cbrt.f64 (*.f64 x y)))))
37.9%
(*.f64 #s(literal 2 binary64) (*.f64 (cbrt.f64 (*.f64 y x)) (cbrt.f64 (sqrt.f64 (*.f64 y x)))))
37.4%
(*.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))))))))
31.7%
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 z y)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))))
74.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) #s(literal 3 binary64)) (*.f64 y z))))
75.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (+.f64 y z) x) (*.f64 y z))))
39.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
64.3%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x (+.f64 y (*.f64 x (/.f64 y z)))))))
38.4%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
3.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
38.2%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
39.2%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
54.5%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z x)))))))
37.1%
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 1/2 binary64))))
28.0%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
9.3%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (+.f64 (sqrt.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (+.f64 z y)))))))))
Compiler

Compiled 963 to 673 computations (30.1% saved)

localize261.0ms (2.2%)

Localize:

Found 13 expressions with local error:

NewAccuracyProgram
99.8%
(*.f64 y (*.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64)) (+.f64 z x)))
99.7%
(*.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64)) (+.f64 z x))
95.6%
(sqrt.f64 (*.f64 z x))
95.6%
(pow.f64 (*.f64 z x) #s(literal -1/2 binary64))
99.6%
(cbrt.f64 (sqrt.f64 (*.f64 y x)))
99.4%
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y x))) #s(literal 3 binary64))
86.1%
(sqrt.f64 (*.f64 y x))
99.8%
(pow.f64 (*.f64 y x) #s(literal 3/2 binary64))
77.9%
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)))
95.6%
(sqrt.f64 (*.f64 z x))
99.4%
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) #s(literal 3 binary64))
92.3%
(cbrt.f64 (*.f64 x (+.f64 y z)))
88.1%
(sqrt.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) #s(literal 3 binary64)) (*.f64 y z)))
Results
85.0ms128×0invalid
108.0ms128×0valid
Compiler

Compiled 225 to 80 computations (64.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 140.0ms
ival-pow: 75.0ms (53.6% of total)
ival-mult: 30.0ms (21.4% of total)
ival-sqrt: 10.0ms (7.1% of total)
ival-cbrt: 8.0ms (5.7% of total)
ival-add: 7.0ms (5% of total)
ival-fma: 5.0ms (3.6% of total)
const: 4.0ms (2.9% of total)
backward-pass: 0.0ms (0% of total)

series287.0ms (2.4%)

Counts
10 → 280
Calls
Call 1
Inputs
#<alt (sqrt.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) #s(literal 3 binary64)) (*.f64 y z)))>
#<alt (cbrt.f64 (*.f64 x (+.f64 y z)))>
#<alt (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) #s(literal 3 binary64))>
#<alt (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)))>
#<alt (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))>
#<alt (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y x))) #s(literal 3 binary64))>
#<alt (cbrt.f64 (sqrt.f64 (*.f64 y x)))>
#<alt (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))>
#<alt (*.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64)) (+.f64 z x))>
#<alt (*.f64 y (*.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64)) (+.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 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (+.f64 y 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 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (+.f64 y z))))) (*.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 (sqrt.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (+.f64 y 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)) (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 9 binary64)) (pow.f64 (+.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)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (+.f64 y z))))) (*.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 (sqrt.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (+.f64 y z)) x)) (sqrt.f64 #s(literal -1 binary64)))))))>
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#<alt (*.f64 (sqrt.f64 (/.f64 z x)) y)>
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#<alt (*.f64 z (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) y) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) y)))>
#<alt (*.f64 z (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) y) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) y)))>
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Calls

72 calls:

TimeVariablePointExpression
171.0ms
y
@0
(cbrt (sqrt (* y x)))
21.0ms
x
@0
(cbrt (sqrt (* y x)))
9.0ms
x
@inf
(cbrt (sqrt (* y x)))
8.0ms
z
@-inf
(cbrt (* x (+ y z)))
8.0ms
x
@-inf
(sqrt (+ (pow (cbrt (* x (+ y z))) 3) (* y z)))

rewrite211.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
1156×log1p-expm1-u
216×associate-*r*
198×expm1-log1p-u
189×add-cube-cbrt
186×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031280
1473262
26151262
Stop Event
node limit
Counts
10 → 287
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) #s(literal 3 binary64)) (*.f64 y z)))
(cbrt.f64 (*.f64 x (+.f64 y z)))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) #s(literal 3 binary64))
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)))
(pow.f64 (*.f64 y x) #s(literal 3/2 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y x))) #s(literal 3 binary64))
(cbrt.f64 (sqrt.f64 (*.f64 y x)))
(pow.f64 (*.f64 z x) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64)) (+.f64 z x))
(*.f64 y (*.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64)) (+.f64 z x)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))) (cbrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))
(*.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))) (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))))
(*.f64 (pow.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z)))))
(/.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 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 (fma.f64 x (+.f64 y z) (*.f64 y z)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 y z))) #s(literal 1 binary64))
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(exp.f64 (log.f64 (sqrt.f64 (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (*.f64 x y))) #s(literal 1/3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x y) #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 1/6 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 x y))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 1/6 binary64))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x y))) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1/6 binary64)) (pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 x)))
(pow.f64 (*.f64 x y) #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 1/6 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (cbrt.f64 (*.f64 x y)))
(log.f64 (exp.f64 (pow.f64 (*.f64 x y) #s(literal 1/6 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 x y) #s(literal 1/6 binary64)))))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x y) #s(literal 1/6 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x y) #s(literal 1/6 binary64))))
(exp.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal 1/6 binary64))))
(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 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) (cbrt.f64 (pow.f64 (*.f64 x z) #s(literal -1 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x z) #s(literal -1 binary64))) (cbrt.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))))
(*.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)) (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)))
(*.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 (pow.f64 (sqrt.f64 (*.f64 x z)) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 x z)) #s(literal -1/2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 x z) #s(literal -1 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 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) #s(literal 3 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 (*.f64 #s(literal -1/2 binary64) (log.f64 (*.f64 x z))))
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (*.f64 x z))) #s(literal 1 binary64)))
(+.f64 (*.f64 z (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) (*.f64 x (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))))
(+.f64 (*.f64 x (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) (*.f64 z (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))))
(+.f64 (*.f64 (*.f64 z (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 x (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 z (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 x (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 z (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) (*.f64 z (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 x (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) (*.f64 x (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)))) (*.f64 (*.f64 z (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) (*.f64 x (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 z (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) (*.f64 z (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)))) (*.f64 (*.f64 x (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) (*.f64 x (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))))) (-.f64 (*.f64 z (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) (*.f64 x (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)))))
(/.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 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (-.f64 z x))
(/.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 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) (-.f64 z x))
(pow.f64 (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 (+.f64 x z)) (pow.f64 (*.f64 x z) #s(literal -1/4 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x z) #s(literal -1 binary64)) (pow.f64 (+.f64 x z) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) (+.f64 x z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) (pow.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z))) #s(literal 1 binary64)))
(fma.f64 z (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (*.f64 x (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) z (*.f64 x (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))))
(+.f64 (*.f64 y (*.f64 z (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)))) (*.f64 y (*.f64 x (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)))))
(+.f64 (*.f64 (*.f64 y (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) x) (*.f64 (*.f64 y (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) z))
(+.f64 (*.f64 (*.f64 y (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) z) (*.f64 (*.f64 y (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) x))
(+.f64 (*.f64 (*.f64 z (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) y) (*.f64 (*.f64 x (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) y))
(+.f64 (*.f64 x (*.f64 y (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)))) (*.f64 z (*.f64 y (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)))))
(+.f64 (*.f64 z (*.f64 y (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)))) (*.f64 x (*.f64 y (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z))))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 y (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 (*.f64 y (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))
(pow.f64 (*.f64 y (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) (+.f64 x z)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z))))))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z)))))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z)))))
(exp.f64 (log.f64 (*.f64 y (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z)))) #s(literal 1 binary64)))

simplify336.0ms (2.8%)

Algorithm
egg-herbie
Rules
741×fma-define
457×*-commutative
436×distribute-lft-in
427×distribute-rgt-in
390×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0122525769830251
1314425769828857
2720025769828599
Stop Event
node limit
Counts
567 → 581
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 y z))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 y z) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (+.f64 y z))))))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (+.f64 y z))) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (+.f64 y z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 y z) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64))))))))))))
(sqrt.f64 (*.f64 x (+.f64 y z)))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y z)))) (*.f64 y z)))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 y z) #s(literal 3 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y z)))) (*.f64 y z))))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 y z) #s(literal 3 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 (+.f64 y z) #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y z)))) (*.f64 y z)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (+.f64 y z)))) (sqrt.f64 #s(literal -1 binary64))))
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(*.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)) (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)))
(*.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 (pow.f64 (sqrt.f64 (*.f64 x z)) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 x z)) #s(literal -1/2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 x z) #s(literal -1 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 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) #s(literal 3 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 (*.f64 #s(literal -1/2 binary64) (log.f64 (*.f64 x z))))
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (*.f64 x z))) #s(literal 1 binary64)))
(+.f64 (*.f64 z (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) (*.f64 x (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))))
(+.f64 (*.f64 x (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) (*.f64 z (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))))
(+.f64 (*.f64 (*.f64 z (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 x (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 z (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 x (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 z (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) (*.f64 z (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 x (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) (*.f64 x (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)))) (*.f64 (*.f64 z (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) (*.f64 x (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 z (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) (*.f64 z (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)))) (*.f64 (*.f64 x (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) (*.f64 x (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))))) (-.f64 (*.f64 z (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) (*.f64 x (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)))))
(/.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 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (-.f64 z x))
(/.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 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) (-.f64 z x))
(pow.f64 (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 (+.f64 x z)) (pow.f64 (*.f64 x z) #s(literal -1/4 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x z) #s(literal -1 binary64)) (pow.f64 (+.f64 x z) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) (+.f64 x z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) (pow.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z))) #s(literal 1 binary64)))
(fma.f64 z (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (*.f64 x (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) z (*.f64 x (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))))
(+.f64 (*.f64 y (*.f64 z (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)))) (*.f64 y (*.f64 x (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)))))
(+.f64 (*.f64 (*.f64 y (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) x) (*.f64 (*.f64 y (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) z))
(+.f64 (*.f64 (*.f64 y (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) z) (*.f64 (*.f64 y (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) x))
(+.f64 (*.f64 (*.f64 z (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) y) (*.f64 (*.f64 x (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) y))
(+.f64 (*.f64 x (*.f64 y (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)))) (*.f64 z (*.f64 y (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)))))
(+.f64 (*.f64 z (*.f64 y (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)))) (*.f64 x (*.f64 y (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z))))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 y (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 (*.f64 y (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))
(pow.f64 (*.f64 y (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) (+.f64 x z)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z))))))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z)))))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z)))))
(exp.f64 (log.f64 (*.f64 y (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.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 (/.f64 #s(literal 1 binary64) y) z))))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))) (sqrt.f64 (*.f64 y z)))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 y z) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (+.f64 y z))))))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 y z) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))))))
(fma.f64 x (fma.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (+.f64 y z))) (sqrt.f64 (*.f64 y z)))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (+.f64 y z))) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (+.f64 y z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 y z) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64))))))))))))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))) (*.f64 x (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 y z) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64))))))))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (+.f64 y z) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))))) (*.f64 (*.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))))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (+.f64 y z))) (sqrt.f64 (*.f64 y z)))
(sqrt.f64 (*.f64 x (+.f64 y z)))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y z)))) (*.f64 y z)))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y z) (pow.f64 x #s(literal 3 binary64)))))))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y z) (pow.f64 x #s(literal 3 binary64)))))) (sqrt.f64 (/.f64 (+.f64 y z) x))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 y z) #s(literal 3 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y z)))) (*.f64 y z))))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y z) (pow.f64 x #s(literal 3 binary64))))))))))
(*.f64 x (+.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y z) (pow.f64 x #s(literal 3 binary64)))))) (sqrt.f64 (/.f64 (+.f64 y z) x))) (*.f64 #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 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 y z) #s(literal 3 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 (+.f64 y z) #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y z)))) (*.f64 y z)))))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 (+.f64 y z) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y z) (pow.f64 x #s(literal 3 binary64)))))))))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 (+.f64 y z) #s(literal 3 binary64)))) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))) (pow.f64 (+.f64 y z) #s(literal 5 binary64))))) (*.f64 #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 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (+.f64 y z)))) (sqrt.f64 #s(literal -1 binary64))))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 (neg.f64 x) (+.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))))
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(*.f64 (*.f64 y (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))) (/.f64 (+.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 (*.f64 y (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 y (*.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (-.f64 z x))
(*.f64 y (*.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64)) (/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 z x))))
(pow.f64 (*.f64 y (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z))) #s(literal 1 binary64))
(*.f64 y (*.f64 (+.f64 z x) (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64)) (*.f64 y (+.f64 z x)))
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z)))) #s(literal 3 binary64))
(*.f64 y (*.f64 (+.f64 z x) (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64)) (*.f64 y (+.f64 z x)))
(pow.f64 (pow.f64 (*.f64 y (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 y (*.f64 (+.f64 z x) (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64)) (*.f64 y (+.f64 z x)))
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z)))) #s(literal 2 binary64))
(*.f64 y (*.f64 (+.f64 z x) (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64)) (*.f64 y (+.f64 z x)))
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z))) #s(literal 2 binary64)))
(*.f64 y (*.f64 (+.f64 z x) (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64)) (*.f64 y (+.f64 z x)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64))) (+.f64 x z)) y))
(*.f64 y (*.f64 (+.f64 z x) (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64)) (*.f64 y (+.f64 z x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z))))))
(*.f64 y (*.f64 (+.f64 z x) (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64)) (*.f64 y (+.f64 z x)))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z))) #s(literal 3 binary64)))
(*.f64 y (*.f64 (+.f64 z x) (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64)) (*.f64 y (+.f64 z x)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z)) #s(literal 3 binary64))))
(*.f64 y (*.f64 (+.f64 z x) (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64)) (*.f64 y (+.f64 z x)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(*.f64 y (*.f64 (+.f64 z x) (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64)) (*.f64 y (+.f64 z x)))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z)))))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 (+.f64 z x) (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64)) (*.f64 y (+.f64 z x)))))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z)))))
(*.f64 y (*.f64 (+.f64 z x) (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64)) (*.f64 y (+.f64 z x)))
(exp.f64 (log.f64 (*.f64 y (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z)))))
(*.f64 y (*.f64 (+.f64 z x) (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64)) (*.f64 y (+.f64 z x)))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z)))) #s(literal 1 binary64)))
(*.f64 y (*.f64 (+.f64 z x) (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64)) (*.f64 y (+.f64 z x)))

eval195.0ms (1.6%)

Compiler

Compiled 17741 to 10108 computations (43% saved)

prune181.0ms (1.5%)

Pruning

30 alts after pruning (24 fresh and 6 done)

PrunedKeptTotal
New71711728
Fresh81321
Picked145
Done123
Total72730757
Accuracy
88.6%
Counts
757 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.6%
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z)))) #s(literal 3 binary64)) (sqrt.f64 (*.f64 z x))))
3.2%
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 y) (sqrt.f64 (/.f64 x z))) (sqrt.f64 (*.f64 z x))))
3.6%
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (pow.f64 (cbrt.f64 (/.f64 (+.f64 z x) (sqrt.f64 (*.f64 z x)))) #s(literal 3 binary64))) (sqrt.f64 (*.f64 z x))))
3.6%
(*.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))))
3.6%
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64)) (+.f64 z x))) (sqrt.f64 (*.f64 z x))))
3.6%
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (*.f64 x z)))) (+.f64 z x))) (sqrt.f64 (*.f64 z x))))
3.6%
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (expm1.f64 (log1p.f64 (*.f64 y (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z))))) (sqrt.f64 (*.f64 z x))))
39.6%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
38.2%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
38.0%
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3/2 binary64)))
3.6%
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z x))) #s(literal 3 binary64)))
37.6%
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y x))) #s(literal 3 binary64)))
38.7%
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))))))
50.9%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))
1.8%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 x)))
37.4%
(*.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))))))))
31.7%
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 z y)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))))
46.8%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) x) (-.f64 y z)) (*.f64 y z))))
39.5%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 z x) (*.f64 y z))))
39.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
64.3%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x (+.f64 y (*.f64 x (/.f64 y z)))))))
38.4%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
3.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
38.2%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
39.2%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
54.5%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z x)))))))
37.1%
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 1/2 binary64))))
3.6%
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal 1/2 binary64))))
28.0%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
9.3%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (+.f64 (sqrt.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (+.f64 z y)))))))))
Compiler

Compiled 946 to 677 computations (28.4% saved)

localize359.0ms (3%)

Localize:

Found 13 expressions with local error:

NewAccuracyProgram
99.7%
(*.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (*.f64 x z)))) (+.f64 z x))
96.5%
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (*.f64 x z))))
95.7%
(log.f64 (*.f64 x z))
95.6%
(sqrt.f64 (*.f64 z x))
99.6%
(cbrt.f64 (sqrt.f64 (*.f64 z x)))
99.4%
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z x))) #s(literal 3 binary64))
95.6%
(sqrt.f64 (*.f64 z x))
96.5%
(exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal 1/2 binary64)))
95.7%
(log.f64 (*.f64 z x))
87.1%
(sqrt.f64 (*.f64 z y))
99.9%
(*.f64 x (/.f64 y z))
95.1%
(*.f64 z (+.f64 x (+.f64 y (*.f64 x (/.f64 y z)))))
88.1%
(sqrt.f64 (*.f64 z (+.f64 x (+.f64 y (*.f64 x (/.f64 y z))))))
Results
71.0ms128×0invalid
83.0ms128×0valid
Compiler

Compiled 250 to 78 computations (68.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 102.0ms
ival-mult: 43.0ms (42.2% of total)
ival-exp: 18.0ms (17.7% of total)
ival-pow: 11.0ms (10.8% of total)
ival-sqrt: 7.0ms (6.9% of total)
ival-log: 6.0ms (5.9% of total)
ival-fma: 5.0ms (4.9% of total)
ival-add: 4.0ms (3.9% of total)
const: 4.0ms (3.9% of total)
ival-div: 3.0ms (2.9% of total)
ival-cbrt: 1.0ms (1% of total)
backward-pass: 0.0ms (0% of total)

series194.0ms (1.6%)

Counts
11 → 300
Calls
Call 1
Inputs
#<alt (sqrt.f64 (*.f64 z (+.f64 x (+.f64 y (*.f64 x (/.f64 y z))))))>
#<alt (*.f64 z (+.f64 x (+.f64 y (*.f64 x (/.f64 y z)))))>
#<alt (*.f64 x (/.f64 y z))>
#<alt (sqrt.f64 (*.f64 z y))>
#<alt (log.f64 (*.f64 z x))>
#<alt (exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal 1/2 binary64)))>
#<alt (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z x))) #s(literal 3 binary64))>
#<alt (cbrt.f64 (sqrt.f64 (*.f64 z x)))>
#<alt (log.f64 (*.f64 x z))>
#<alt (exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (*.f64 x z))))>
#<alt (*.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (*.f64 x z)))) (+.f64 z x))>
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 y z))>
#<alt (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))) (sqrt.f64 (/.f64 z y)))))>
#<alt (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 z y)) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))))>
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Calls

75 calls:

TimeVariablePointExpression
33.0ms
x
@-inf
(log (* z x))
24.0ms
z
@-inf
(sqrt (* z (+ x (+ y (* x (/ y z))))))
16.0ms
z
@-inf
(log (* z x))
13.0ms
x
@0
(log (* z x))
10.0ms
z
@0
(log (* z x))

rewrite221.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
969×log1p-expm1-u
221×associate-*r*
206×expm1-log1p-u
204×add-exp-log
200×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034292
1513272
26685272
Stop Event
node limit
Counts
11 → 320
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 z (+.f64 x (+.f64 y (*.f64 x (/.f64 y z))))))
(*.f64 z (+.f64 x (+.f64 y (*.f64 x (/.f64 y z)))))
(*.f64 x (/.f64 y z))
(sqrt.f64 (*.f64 z y))
(log.f64 (*.f64 z x))
(exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal 1/2 binary64)))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z x))) #s(literal 3 binary64))
(cbrt.f64 (sqrt.f64 (*.f64 z x)))
(log.f64 (*.f64 x z))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (*.f64 x z))))
(*.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (*.f64 x z)))) (+.f64 z x))
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 z (+.f64 x (fma.f64 x (/.f64 y z) y)))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 z (+.f64 x (fma.f64 x (/.f64 y z) y)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z (+.f64 x (fma.f64 x (/.f64 y z) y)))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 x (fma.f64 x (/.f64 y z) y))))) (cbrt.f64 (*.f64 z (+.f64 x (fma.f64 x (/.f64 y z) y)))))
(*.f64 (cbrt.f64 (*.f64 z (+.f64 x (fma.f64 x (/.f64 y z) y)))) (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 x (fma.f64 x (/.f64 y z) y))))))
(*.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 x (fma.f64 x (/.f64 y z) y))))
(*.f64 (sqrt.f64 (+.f64 x (fma.f64 x (/.f64 y z) y))) (sqrt.f64 z))
(*.f64 (pow.f64 (*.f64 z (+.f64 x (fma.f64 x (/.f64 y z) y))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z (+.f64 x (fma.f64 x (/.f64 y z) y))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z (+.f64 x (fma.f64 x (/.f64 y z) y)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 x (fma.f64 x (/.f64 y z) y)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 z (+.f64 x (fma.f64 x (/.f64 y z) y)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 x (fma.f64 x (/.f64 y z) y)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 z (+.f64 x (fma.f64 x (/.f64 y z) y))))))
(pow.f64 (*.f64 z (+.f64 x (fma.f64 x (/.f64 y z) y))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (+.f64 x (fma.f64 x (/.f64 y z) y)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 x (fma.f64 x (/.f64 y z) y))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (+.f64 x (fma.f64 x (/.f64 y z) y))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 z (+.f64 x (fma.f64 x (/.f64 y z) y))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 z (+.f64 x (fma.f64 x (/.f64 y z) y)))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 z (+.f64 x (fma.f64 x (/.f64 y z) y))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 z (+.f64 x (fma.f64 x (/.f64 y z) y)))))))
(cbrt.f64 (pow.f64 (*.f64 z (+.f64 x (fma.f64 x (/.f64 y z) y))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (+.f64 x (fma.f64 x (/.f64 y z) y))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 z (+.f64 x (fma.f64 x (/.f64 y z) y))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 z (+.f64 x (fma.f64 x (/.f64 y z) y))))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 x (fma.f64 x (/.f64 y z) y)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (+.f64 x (fma.f64 x (/.f64 y z) y))))) #s(literal 1 binary64)))
(+.f64 (*.f64 z x) (*.f64 z (fma.f64 x (/.f64 y z) y)))
(+.f64 (*.f64 z x) (*.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)) #s(literal 1 binary64)))
(+.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)) (*.f64 z x))
(+.f64 (*.f64 z (+.f64 x y)) (*.f64 z (*.f64 x (/.f64 y z))))
(+.f64 (*.f64 (+.f64 x y) z) (*.f64 (*.f64 x (/.f64 y z)) z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (+.f64 x (fma.f64 x (/.f64 y z) y))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)) (*.f64 z (fma.f64 x (/.f64 y z) y))) (*.f64 (*.f64 z x) (*.f64 z (fma.f64 x (/.f64 y z) y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)) (*.f64 z (fma.f64 x (/.f64 y z) y)))) (-.f64 (*.f64 z x) (*.f64 z (fma.f64 x (/.f64 y z) y))))
(/.f64 (*.f64 z (+.f64 (pow.f64 (fma.f64 x (/.f64 y z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (*.f64 (fma.f64 x (/.f64 y z) y) (-.f64 (fma.f64 x (/.f64 y z) y) x))))
(/.f64 (*.f64 z (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (fma.f64 x (/.f64 y z) y) #s(literal 2 binary64)))) (-.f64 x (fma.f64 x (/.f64 y z) y)))
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 x (/.f64 y z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z) (fma.f64 x x (*.f64 (fma.f64 x (/.f64 y z) y) (-.f64 (fma.f64 x (/.f64 y z) y) x))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (fma.f64 x (/.f64 y z) y) #s(literal 2 binary64))) z) (-.f64 x (fma.f64 x (/.f64 y z) y)))
(pow.f64 (*.f64 z (+.f64 x (fma.f64 x (/.f64 y z) y))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (+.f64 x (fma.f64 x (/.f64 y z) y)))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (+.f64 x (fma.f64 x (/.f64 y z) y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (+.f64 x (fma.f64 x (/.f64 y z) y))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 z (+.f64 x (fma.f64 x (/.f64 y z) y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (+.f64 x (fma.f64 x (/.f64 y z) y))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (+.f64 x (fma.f64 x (/.f64 y z) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (+.f64 x (fma.f64 x (/.f64 y z) y))))))
(cbrt.f64 (pow.f64 (*.f64 z (+.f64 x (fma.f64 x (/.f64 y z) y))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 x (fma.f64 x (/.f64 y z) y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x (fma.f64 x (/.f64 y z) y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (+.f64 x (fma.f64 x (/.f64 y z) y)))))
(log1p.f64 (expm1.f64 (*.f64 z (+.f64 x (fma.f64 x (/.f64 y z) y)))))
(exp.f64 (log.f64 (*.f64 z (+.f64 x (fma.f64 x (/.f64 y z) y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 x (fma.f64 x (/.f64 y z) y)))) #s(literal 1 binary64)))
(fma.f64 z x (*.f64 z (fma.f64 x (/.f64 y z) y)))
(fma.f64 x z (*.f64 z (fma.f64 x (/.f64 y z) y)))
(fma.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (*.f64 z x)) (*.f64 z (fma.f64 x (/.f64 y z) y)))
(fma.f64 #s(literal 1 binary64) (*.f64 z x) (*.f64 z (fma.f64 x (/.f64 y z) y)))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (cbrt.f64 (*.f64 z x)) (*.f64 z (fma.f64 x (/.f64 y z) y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 y z)))) #s(literal 1 binary64))
(/.f64 x (/.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))
(/.f64 (*.f64 x y) z)
(/.f64 (neg.f64 (*.f64 x y)) (neg.f64 z))
(/.f64 (*.f64 x (neg.f64 y)) (neg.f64 z))
(/.f64 (*.f64 (neg.f64 y) x) (neg.f64 z))
(/.f64 (/.f64 (*.f64 x y) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (*.f64 x y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 (*.f64 x (/.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 y 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 x (/.f64 y z)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 y z))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 y z))))
(exp.f64 (log.f64 (*.f64 x (/.f64 y z))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 y z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 z y)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 z y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z y)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 z y))) (cbrt.f64 (*.f64 z y)))
(*.f64 (cbrt.f64 (*.f64 z y)) (cbrt.f64 (sqrt.f64 (*.f64 z y))))
(*.f64 (sqrt.f64 z) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (sqrt.f64 z))
(*.f64 (pow.f64 (*.f64 z y) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 z y))))
(pow.f64 (*.f64 z y) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 z y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z y) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 z y) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 z y)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 z y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 z y)))))
(cbrt.f64 (pow.f64 (*.f64 z y) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z y))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 z y))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 z y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z y)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z y))) #s(literal 1 binary64)))
(+.f64 (log.f64 (sqrt.f64 (*.f64 z x))) (log.f64 (sqrt.f64 (*.f64 z x))))
(+.f64 (log.f64 x) (log.f64 z))
(+.f64 (log.f64 z) (log.f64 x))
(+.f64 #s(literal 0 binary64) (log.f64 (*.f64 z x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (*.f64 z x))))
(+.f64 (*.f64 (log.f64 z) #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64)))
(+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (*.f64 (log.f64 z) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 z x)))) #s(literal 1 binary64))
(*.f64 (log.f64 (*.f64 z x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 (*.f64 z x)))
(*.f64 (cbrt.f64 (log.f64 (*.f64 z x))) (cbrt.f64 (pow.f64 (log.f64 (*.f64 z x)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 z x)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 z x))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 z x))) (sqrt.f64 (log.f64 (*.f64 z x))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 binary64))) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (-.f64 (*.f64 (log.f64 z) (log.f64 z)) (*.f64 (log.f64 x) (log.f64 z)))))
(/.f64 (+.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (*.f64 (log.f64 z) (log.f64 z)) (-.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 z) (log.f64 x)))))
(/.f64 (-.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 z) (log.f64 z))) (-.f64 (log.f64 x) (log.f64 z)))
(/.f64 (-.f64 (*.f64 (log.f64 z) (log.f64 z)) (*.f64 (log.f64 x) (log.f64 x))) (-.f64 (log.f64 z) (log.f64 x)))
(pow.f64 (log.f64 (*.f64 z x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (*.f64 z x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (*.f64 z x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (*.f64 z x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 (*.f64 z x)) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 z x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 z x))))
(log1p.f64 (-.f64 (*.f64 z x) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (*.f64 z x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 z x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 z x)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 1 binary64))
(*.f64 (pow.f64 (*.f64 z x) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 z x)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z x)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z x))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 1/6 binary64))) (cbrt.f64 (*.f64 z x))))
(*.f64 (cbrt.f64 (*.f64 z x)) (pow.f64 (*.f64 z x) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 z) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 z))
(*.f64 (pow.f64 (*.f64 z x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 z x))))
(*.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 x)) (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 z)))
(*.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 z)) (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z x))) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)))) (pow.f64 (*.f64 z x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 z x)) #s(literal 1 binary64)) (pow.f64 (*.f64 z x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 z x)) (cbrt.f64 (cbrt.f64 (*.f64 z x)))) (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 1/6 binary64))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 z x)) (pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 1/6 binary64))) (pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 1/6 binary64)))
(pow.f64 (*.f64 z x) #s(literal 1/2 binary64))
(pow.f64 (*.f64 z x) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (*.f64 z x)))
(pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (cbrt.f64 (pow.f64 (log.f64 (*.f64 z x)) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (*.f64 z x))))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (sqrt.f64 (log.f64 (*.f64 z x)))) (sqrt.f64 (log.f64 (*.f64 z x))))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (sqrt.f64 (*.f64 z x))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 z x)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 z x))) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 z x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 z x))))) (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 z x)))))
(sqrt.f64 (*.f64 z x))
(fabs.f64 (sqrt.f64 (*.f64 z x)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 z x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 z x)))))
(cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 z x))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 z x)))) #s(literal 1 binary64))
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(pow.f64 (cbrt.f64 (log.f64 (*.f64 z x))) #s(literal 3 binary64))
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(pow.f64 (sqrt.f64 (log.f64 (*.f64 z x))) #s(literal 2 binary64))
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(cbrt.f64 (pow.f64 (log.f64 (*.f64 z x)) #s(literal 3 binary64)))
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(*.f64 (cbrt.f64 (*.f64 z x)) (pow.f64 (*.f64 z x) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 z) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 z))
(*.f64 (pow.f64 (*.f64 z x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 z x))))
(*.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 x)) (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 z)))
(*.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 z)) (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 x)))
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(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)))) (pow.f64 (*.f64 z x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 z x)) #s(literal 1 binary64)) (pow.f64 (*.f64 z x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 z x)) (cbrt.f64 (cbrt.f64 (*.f64 z x)))) (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 1/6 binary64))))
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(pow.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (sqrt.f64 (log.f64 (*.f64 z x)))) (sqrt.f64 (log.f64 (*.f64 z x))))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (sqrt.f64 (*.f64 z x))))
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(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 z x))))) (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 z x)))))
(sqrt.f64 (*.f64 z x))
(fabs.f64 (sqrt.f64 (*.f64 z x)))
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(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 z x)) (+.f64 z x))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 z x)) (+.f64 z x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 z x)) (+.f64 z x))) #s(literal 1 binary64)))
(fma.f64 z (sqrt.f64 (*.f64 z x)) (*.f64 x (sqrt.f64 (*.f64 z x))))
(fma.f64 (sqrt.f64 (*.f64 z x)) z (*.f64 x (sqrt.f64 (*.f64 z x))))

simplify368.0ms (3.1%)

Algorithm
egg-herbie
Rules
691×associate-*r*
611×associate-*l*
527×fma-define
329×distribute-lft-in
321×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
090025505
1227024646
2751824262
Stop Event
node limit
Counts
620 → 488
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)))))
(+.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 (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))))))))))
(sqrt.f64 (*.f64 z (+.f64 x y)))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 z x)))))
(cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 z x))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 z x)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 1 binary64))
(*.f64 (pow.f64 (*.f64 z x) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 z x)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z x)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z x))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 1/6 binary64))) (cbrt.f64 (*.f64 z x))))
(*.f64 (cbrt.f64 (*.f64 z x)) (pow.f64 (*.f64 z x) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 z) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 z))
(*.f64 (pow.f64 (*.f64 z x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 z x))))
(*.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 x)) (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 z)))
(*.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 z)) (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z x))) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)))) (pow.f64 (*.f64 z x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 z x)) #s(literal 1 binary64)) (pow.f64 (*.f64 z x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 z x)) (cbrt.f64 (cbrt.f64 (*.f64 z x)))) (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 1/6 binary64))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 z x)) (pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 1/6 binary64))) (pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 1/6 binary64)))
(sqrt.f64 (*.f64 z x))
(fabs.f64 (sqrt.f64 (*.f64 z x)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 z x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 z x)))))
(cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 z x))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 z x))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1/2 binary64))) (log.f64 (*.f64 z x))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 z x) #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (*.f64 z x) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z x) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 1/6 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 z x))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 1/6 binary64))) (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z x))) (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 1/6 binary64)) (pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 (*.f64 z x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (sqrt.f64 z) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 z x) #s(literal 1/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (*.f64 z x) #s(literal 1/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 (sqrt.f64 x)))
(pow.f64 (*.f64 z x) #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 1/6 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (cbrt.f64 (*.f64 z x)))
(log.f64 (exp.f64 (pow.f64 (*.f64 z x) #s(literal 1/6 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 z x) #s(literal 1/6 binary64)))))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 z x) #s(literal 1/6 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 z x) #s(literal 1/6 binary64))))
(exp.f64 (log.f64 (pow.f64 (*.f64 z x) #s(literal 1/6 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 z x) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(+.f64 (log.f64 (sqrt.f64 (*.f64 z x))) (log.f64 (sqrt.f64 (*.f64 z x))))
(+.f64 (log.f64 x) (log.f64 z))
(+.f64 (log.f64 z) (log.f64 x))
(+.f64 #s(literal 0 binary64) (log.f64 (*.f64 z x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (*.f64 z x))))
(+.f64 (*.f64 (log.f64 z) #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64)))
(+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (*.f64 (log.f64 z) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 z x)))) #s(literal 1 binary64))
(*.f64 (log.f64 (*.f64 z x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 (*.f64 z x)))
(*.f64 (cbrt.f64 (log.f64 (*.f64 z x))) (cbrt.f64 (pow.f64 (log.f64 (*.f64 z x)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 z x)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 z x))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 z x))) (sqrt.f64 (log.f64 (*.f64 z x))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 binary64))) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (-.f64 (*.f64 (log.f64 z) (log.f64 z)) (*.f64 (log.f64 x) (log.f64 z)))))
(/.f64 (+.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (*.f64 (log.f64 z) (log.f64 z)) (-.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 z) (log.f64 x)))))
(/.f64 (-.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 z) (log.f64 z))) (-.f64 (log.f64 x) (log.f64 z)))
(/.f64 (-.f64 (*.f64 (log.f64 z) (log.f64 z)) (*.f64 (log.f64 x) (log.f64 x))) (-.f64 (log.f64 z) (log.f64 x)))
(pow.f64 (log.f64 (*.f64 z x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (*.f64 z x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (*.f64 z x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (*.f64 z x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 (*.f64 z x)) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 z x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 z x))))
(log1p.f64 (-.f64 (*.f64 z x) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (*.f64 z x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 z x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 z x)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 1 binary64))
(*.f64 (pow.f64 (*.f64 z x) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 z x)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z x)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z x))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 1/6 binary64))) (cbrt.f64 (*.f64 z x))))
(*.f64 (cbrt.f64 (*.f64 z x)) (pow.f64 (*.f64 z x) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 z) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 z))
(*.f64 (pow.f64 (*.f64 z x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 z x))))
(*.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 x)) (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 z)))
(*.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 z)) (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z x))) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)))) (pow.f64 (*.f64 z x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 z x)) #s(literal 1 binary64)) (pow.f64 (*.f64 z x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 z x)) (cbrt.f64 (cbrt.f64 (*.f64 z x)))) (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 1/6 binary64))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 z x)) (pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 1/6 binary64))) (pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 1/6 binary64)))
(pow.f64 (*.f64 z x) #s(literal 1/2 binary64))
(pow.f64 (*.f64 z x) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (*.f64 z x)))
(pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (cbrt.f64 (pow.f64 (log.f64 (*.f64 z x)) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (*.f64 z x))))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (sqrt.f64 (log.f64 (*.f64 z x)))) (sqrt.f64 (log.f64 (*.f64 z x))))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (sqrt.f64 (*.f64 z x))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 z x)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 z x))) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 z x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 z x))))) (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 z x)))))
(sqrt.f64 (*.f64 z x))
(fabs.f64 (sqrt.f64 (*.f64 z x)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 z x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 z x)))))
(cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 z x))))
(+.f64 (*.f64 z (sqrt.f64 (*.f64 z x))) (*.f64 x (sqrt.f64 (*.f64 z x))))
(+.f64 (*.f64 x (sqrt.f64 (*.f64 z x))) (*.f64 z (sqrt.f64 (*.f64 z x))))
(+.f64 (*.f64 (*.f64 z (sqrt.f64 (*.f64 z x))) #s(literal 1 binary64)) (*.f64 (*.f64 x (sqrt.f64 (*.f64 z x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 z x)) (+.f64 z x)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 z (sqrt.f64 (*.f64 z x))) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 z x))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 z (sqrt.f64 (*.f64 z x))) (*.f64 z (sqrt.f64 (*.f64 z x)))) (-.f64 (*.f64 (*.f64 x (sqrt.f64 (*.f64 z x))) (*.f64 x (sqrt.f64 (*.f64 z x)))) (*.f64 (*.f64 z (sqrt.f64 (*.f64 z x))) (*.f64 x (sqrt.f64 (*.f64 z x)))))))
(/.f64 (-.f64 (*.f64 (*.f64 z (sqrt.f64 (*.f64 z x))) (*.f64 z (sqrt.f64 (*.f64 z x)))) (*.f64 (*.f64 x (sqrt.f64 (*.f64 z x))) (*.f64 x (sqrt.f64 (*.f64 z x))))) (-.f64 (*.f64 z (sqrt.f64 (*.f64 z x))) (*.f64 x (sqrt.f64 (*.f64 z x)))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 z x)) (+.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 (sqrt.f64 (*.f64 z x)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (-.f64 z x))
(/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (*.f64 z x))) (fma.f64 z z (*.f64 x (-.f64 x z))))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (*.f64 z x))) (-.f64 z x))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 z x)) (+.f64 z x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 z x)) (+.f64 z x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 z x)) (+.f64 z x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 z x)) (+.f64 z x))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 z x) (pow.f64 (+.f64 z x) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 z x))) (+.f64 z x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 (*.f64 z x)) (+.f64 z x)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 z x)) (+.f64 z x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 z x) #s(literal 3/2 binary64)) (pow.f64 (+.f64 z x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 z x)) (+.f64 z x))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 z x)) (+.f64 z x))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 z x)) (+.f64 z x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 z x)) (+.f64 z x))) #s(literal 1 binary64)))
(fma.f64 z (sqrt.f64 (*.f64 z x)) (*.f64 x (sqrt.f64 (*.f64 z x))))
(fma.f64 (sqrt.f64 (*.f64 z x)) z (*.f64 x (sqrt.f64 (*.f64 z x))))
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)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 z (*.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 -1/8 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 (sqrt.f64 (*.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))))) (*.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))))))
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(cbrt.f64 (pow.f64 (log.f64 (*.f64 z x)) #s(literal 3 binary64)))
(log.f64 (*.f64 x z))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 z x))))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 x z))))
(log1p.f64 (-.f64 (*.f64 z x) #s(literal 1 binary64)))
(log1p.f64 (fma.f64 z x #s(literal -1 binary64)))
(log1p.f64 (fma.f64 x z #s(literal -1 binary64)))
(exp.f64 (log.f64 (log.f64 (*.f64 z x))))
(log.f64 (*.f64 x z))
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 z x))) #s(literal 1 binary64)))
(log.f64 (*.f64 x z))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 z x)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x z))))
(*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 1 binary64))
(sqrt.f64 (*.f64 x z))
(*.f64 (pow.f64 (*.f64 z x) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 z x)))
(*.f64 (cbrt.f64 (*.f64 x z)) (pow.f64 (*.f64 x z) #s(literal 1/6 binary64)))
(pow.f64 (pow.f64 (*.f64 x z) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z x)))
(sqrt.f64 (*.f64 x z))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 z x))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 1/6 binary64))) (cbrt.f64 (*.f64 z x))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x z))) (*.f64 (cbrt.f64 (*.f64 x z)) (cbrt.f64 (pow.f64 (*.f64 x z) #s(literal 1/6 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x z) #s(literal 1/6 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x z))) #s(literal 4 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x z))) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x z) #s(literal 1/6 binary64))) #s(literal 7 binary64)))
(*.f64 (cbrt.f64 (*.f64 z x)) (pow.f64 (*.f64 z x) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (*.f64 x z)) (pow.f64 (*.f64 x z) #s(literal 1/6 binary64)))
(pow.f64 (pow.f64 (*.f64 x z) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(*.f64 (sqrt.f64 z) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (sqrt.f64 x))
(*.f64 (pow.f64 (*.f64 z x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z x) #s(literal 1/4 binary64)))
(sqrt.f64 (*.f64 x z))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 z x))))
(*.f64 (cbrt.f64 (*.f64 x z)) (cbrt.f64 (sqrt.f64 (*.f64 x z))))
(*.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 x)) (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 z)))
(*.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 z)) (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 x)))
(*.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 x)) (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 z)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z x)))
(sqrt.f64 (*.f64 x z))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (*.f64 x z))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z x))) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (*.f64 x z)) (pow.f64 (*.f64 x z) #s(literal 1/6 binary64)))
(pow.f64 (pow.f64 (*.f64 x z) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 x z)) #s(literal 1/6 binary64)) #s(literal 6 binary64))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)))) (pow.f64 (*.f64 z x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (*.f64 x z) #s(literal 1/6 binary64)) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 z x)) #s(literal 1 binary64)) (pow.f64 (*.f64 z x) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (*.f64 x z)) (pow.f64 (*.f64 x z) #s(literal 1/6 binary64)))
(pow.f64 (pow.f64 (*.f64 x z) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(*.f64 (*.f64 (cbrt.f64 (*.f64 z x)) (cbrt.f64 (cbrt.f64 (*.f64 z x)))) (cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x z))) (*.f64 (cbrt.f64 (*.f64 x z)) (cbrt.f64 (pow.f64 (*.f64 x z) #s(literal 1/6 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x z) #s(literal 1/6 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x z))) #s(literal 4 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x z))) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x z) #s(literal 1/6 binary64))) #s(literal 7 binary64)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 z x)) (pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 1/6 binary64))) (pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (*.f64 x z)) (cbrt.f64 (sqrt.f64 (*.f64 x z))))
(pow.f64 (*.f64 z x) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 x z))
(pow.f64 (*.f64 z x) #s(literal -1/2 binary64))
(pow.f64 (*.f64 x z) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 1 binary64))
(sqrt.f64 (*.f64 x z))
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(*.f64 (cbrt.f64 (*.f64 x z)) (pow.f64 (*.f64 x z) #s(literal 1/6 binary64)))
(pow.f64 (pow.f64 (*.f64 x z) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (*.f64 z x)))
(pow.f64 (*.f64 x z) #s(literal -1/2 binary64))
(pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 3/2 binary64))
(pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (*.f64 x z) #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 x z))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (cbrt.f64 (pow.f64 (log.f64 (*.f64 z x)) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (*.f64 z x))))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (cbrt.f64 (pow.f64 (log.f64 (*.f64 x z)) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (*.f64 x z))))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (sqrt.f64 (log.f64 (*.f64 z x)))) (sqrt.f64 (log.f64 (*.f64 z x))))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (sqrt.f64 (log.f64 (*.f64 x z)))) (sqrt.f64 (log.f64 (*.f64 x z))))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (sqrt.f64 (*.f64 z x))))
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (*.f64 x z))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 z x)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 x z)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 z x))) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 z x)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (*.f64 x z))) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 x z)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 z x))))) (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 z x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 x z))))) (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 x z)))))
(sqrt.f64 (*.f64 z x))
(sqrt.f64 (*.f64 x z))
(fabs.f64 (sqrt.f64 (*.f64 z x)))
(sqrt.f64 (*.f64 x z))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 z x))))
(sqrt.f64 (*.f64 x z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 z x)))))
(sqrt.f64 (*.f64 x z))
(cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3/2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 x z) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z x))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x z))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 z x))))
(sqrt.f64 (*.f64 x z))
(+.f64 (*.f64 z (sqrt.f64 (*.f64 z x))) (*.f64 x (sqrt.f64 (*.f64 z x))))
(*.f64 (sqrt.f64 (*.f64 x z)) (+.f64 x z))
(+.f64 (*.f64 x (sqrt.f64 (*.f64 z x))) (*.f64 z (sqrt.f64 (*.f64 z x))))
(*.f64 (sqrt.f64 (*.f64 x z)) (+.f64 x z))
(+.f64 (*.f64 (*.f64 z (sqrt.f64 (*.f64 z x))) #s(literal 1 binary64)) (*.f64 (*.f64 x (sqrt.f64 (*.f64 z x))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (*.f64 x z)) (+.f64 x z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 z x)) (+.f64 z x)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 x z)) (+.f64 x z))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (sqrt.f64 (*.f64 z x))) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 z x))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 z (sqrt.f64 (*.f64 z x))) (*.f64 z (sqrt.f64 (*.f64 z x)))) (-.f64 (*.f64 (*.f64 x (sqrt.f64 (*.f64 z x))) (*.f64 x (sqrt.f64 (*.f64 z x)))) (*.f64 (*.f64 z (sqrt.f64 (*.f64 z x))) (*.f64 x (sqrt.f64 (*.f64 z x)))))))
(/.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))) (fma.f64 (*.f64 z (sqrt.f64 (*.f64 x z))) (*.f64 z (sqrt.f64 (*.f64 x z))) (*.f64 (*.f64 x (sqrt.f64 (*.f64 x z))) (-.f64 (*.f64 x (sqrt.f64 (*.f64 x z))) (*.f64 z (sqrt.f64 (*.f64 x z)))))))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 x z)) #s(literal 3 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (+.f64 (*.f64 x (pow.f64 z #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 x z) x) (-.f64 x z))))
(/.f64 (*.f64 (pow.f64 (*.f64 x z) #s(literal 3/2 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (+.f64 (*.f64 x (pow.f64 z #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 x z) x) (-.f64 x z))))
(/.f64 (-.f64 (*.f64 (*.f64 z (sqrt.f64 (*.f64 z x))) (*.f64 z (sqrt.f64 (*.f64 z x)))) (*.f64 (*.f64 x (sqrt.f64 (*.f64 z x))) (*.f64 x (sqrt.f64 (*.f64 z x))))) (-.f64 (*.f64 z (sqrt.f64 (*.f64 z x))) (*.f64 x (sqrt.f64 (*.f64 z x)))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 x z)) (+.f64 x z)) (*.f64 (sqrt.f64 (*.f64 x z)) (-.f64 z x))) (*.f64 (sqrt.f64 (*.f64 x z)) (-.f64 z x)))
(/.f64 (-.f64 (*.f64 x (pow.f64 z #s(literal 3 binary64))) (*.f64 z (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (*.f64 x z)) (-.f64 z x)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 z x)) (+.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 (sqrt.f64 (*.f64 x z)) (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (*.f64 x (-.f64 x z)))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 x z)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z (*.f64 x (-.f64 x z))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 z x)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (-.f64 z x))
(*.f64 (sqrt.f64 (*.f64 x z)) (/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 z x)))
(/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (*.f64 z x))) (fma.f64 z z (*.f64 x (-.f64 x z))))
(*.f64 (sqrt.f64 (*.f64 x z)) (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (*.f64 x (-.f64 x z)))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 x z)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z (*.f64 x (-.f64 x z))))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (*.f64 z x))) (-.f64 z x))
(*.f64 (sqrt.f64 (*.f64 x z)) (/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 z x)))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 z x)) (+.f64 z x)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 x z)) (+.f64 x z))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 z x)) (+.f64 z x))) #s(literal 3 binary64))
(*.f64 (sqrt.f64 (*.f64 x z)) (+.f64 x z))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 z x)) (+.f64 z x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (sqrt.f64 (*.f64 x z)) (+.f64 x z))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 z x)) (+.f64 z x))) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (*.f64 x z)) (+.f64 x z))
(sqrt.f64 (*.f64 (*.f64 z x) (pow.f64 (+.f64 z x) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (*.f64 x z) (pow.f64 (+.f64 x z) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 z x))) (+.f64 z x)))
(*.f64 (sqrt.f64 (*.f64 x z)) (+.f64 x z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 (*.f64 z x)) (+.f64 z x)))))
(*.f64 (sqrt.f64 (*.f64 x z)) (+.f64 x z))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 z x)) (+.f64 z x)) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (*.f64 x z)) (+.f64 x z))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 z x) #s(literal 3/2 binary64)) (pow.f64 (+.f64 z x) #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (*.f64 x z)) (+.f64 x z))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 (*.f64 x z)) (+.f64 x z))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 z x)) (+.f64 z x))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 x z)) (+.f64 x z))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 z x)) (+.f64 z x))))
(*.f64 (sqrt.f64 (*.f64 x z)) (+.f64 x z))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 z x)) (+.f64 z x))))
(*.f64 (sqrt.f64 (*.f64 x z)) (+.f64 x z))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 z x)) (+.f64 z x))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (*.f64 x z)) (+.f64 x z))
(fma.f64 z (sqrt.f64 (*.f64 z x)) (*.f64 x (sqrt.f64 (*.f64 z x))))
(*.f64 (sqrt.f64 (*.f64 x z)) (+.f64 x z))
(fma.f64 (sqrt.f64 (*.f64 z x)) z (*.f64 x (sqrt.f64 (*.f64 z x))))
(*.f64 (sqrt.f64 (*.f64 x z)) (+.f64 x z))

eval166.0ms (1.4%)

Compiler

Compiled 13332 to 7159 computations (46.3% saved)

prune316.0ms (2.6%)

Pruning

38 alts after pruning (28 fresh and 10 done)

PrunedKeptTotal
New59311604
Fresh21719
Picked145
Done066
Total59638634
Accuracy
89.8%
Counts
634 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.6%
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z)))) #s(literal 3 binary64)) (sqrt.f64 (*.f64 z x))))
3.2%
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 y) (sqrt.f64 (/.f64 x z))) (sqrt.f64 (*.f64 z x))))
3.6%
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (pow.f64 (cbrt.f64 (/.f64 (+.f64 z x) (sqrt.f64 (*.f64 z x)))) #s(literal 3 binary64))) (sqrt.f64 (*.f64 z x))))
3.6%
(*.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))))
3.6%
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64)) (+.f64 z x))) (sqrt.f64 (*.f64 z x))))
3.6%
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (*.f64 x z)))) (+.f64 z x))) (sqrt.f64 (*.f64 z x))))
3.6%
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (expm1.f64 (log1p.f64 (*.f64 y (*.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) (+.f64 x z))))) (sqrt.f64 (*.f64 z x))))
38.3%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 z y) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
38.2%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
2.8%
(*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 z x) #s(literal -1/2 binary64)))
3.6%
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 z x))))
3.9%
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 3/2 binary64)))
38.0%
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3/2 binary64)))
37.6%
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y x))) #s(literal 3 binary64)))
38.7%
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 y z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))))))
50.9%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))
63.5%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 x (fma.f64 x (/.f64 y z) y))) (sqrt.f64 z)))
49.8%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 y)))
37.4%
(*.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))))))))
31.7%
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 z y)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))))
46.8%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) x) (-.f64 y z)) (*.f64 y z))))
39.5%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 z x) (*.f64 y z))))
35.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 x z))))
39.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
64.3%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x (+.f64 y (*.f64 x (/.f64 y z)))))))
38.4%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
3.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
57.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z))))))
38.2%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
39.2%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
54.5%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z x)))))))
1.8%
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (-.f64 (log.f64 (neg.f64 z)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64))))
37.1%
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 1/2 binary64))))
36.0%
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 z y)) #s(literal 1/2 binary64))))
3.6%
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal 1/2 binary64))))
30.5%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 z y) #s(literal 3/2 binary64))))
28.0%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
9.3%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (+.f64 (sqrt.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (+.f64 z y)))))))))
Compiler

Compiled 1546 to 931 computations (39.8% saved)

regimes408.0ms (3.4%)

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

6 calls:

176.0ms
z
50.0ms
x
47.0ms
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
47.0ms
(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
44.0ms
(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
Results
AccuracySegmentsBranch
86.1%2x
88.2%2y
88.2%2z
89.2%3(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
89.2%3(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
89.2%3(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes71.0ms (0.6%)

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

5 calls:

14.0ms
(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
14.0ms
z
14.0ms
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
14.0ms
y
13.0ms
(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
Results
AccuracySegmentsBranch
86.6%2(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
86.6%2(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
86.6%2(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
86.9%2z
87.2%2y
Compiler

Compiled 54 to 34 computations (37% saved)

regimes35.0ms (0.3%)

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

6 calls:

7.0ms
x
6.0ms
z
6.0ms
(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
5.0ms
y
5.0ms
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
Results
AccuracySegmentsBranch
75.0%1x
75.0%1(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
75.0%1(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
75.0%1(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
75.0%1z
75.0%1y
Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes14.0ms (0.1%)

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

3 calls:

5.0ms
z
4.0ms
x
4.0ms
y
Results
AccuracySegmentsBranch
74.9%1x
74.9%1z
74.9%1y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes21.0ms (0.2%)

Counts
11 → 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 z y)))
(*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 z x) #s(literal -1/2 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 z x) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 x 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
x
7.0ms
z
6.0ms
y
Results
AccuracySegmentsBranch
74.2%2x
75.2%2y
74.2%2z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0%)

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

1 calls:

4.0ms
y
Results
AccuracySegmentsBranch
74.3%2y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes85.0ms (0.7%)

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

3 calls:

76.0ms
y
5.0ms
x
3.0ms
z
Results
AccuracySegmentsBranch
72.1%2x
70.3%2z
73.8%2y
Compiler

Compiled 12 to 9 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
38.2%1z
38.2%1x
38.2%1y
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch46.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
42.0ms
-5.666881818091053e-282
9.318421290101958e-299
Results
14.0ms192×0invalid
17.0ms176×0valid
Compiler

Compiled 298 to 225 computations (24.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 12.0ms (61.1% of total)
ival-add: 4.0ms (20.4% of total)
ival-sqrt: 3.0ms (15.3% of total)
const: 1.0ms (5.1% of total)
backward-pass: 0.0ms (0% of total)

bsearch27.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
24.0ms
1.0542257321157713e+26
2.053698187175221e+27
Results
9.0ms112×0valid
9.0ms101×0invalid
Compiler

Compiled 212 to 156 computations (26.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 6.0ms (52.4% of total)
ival-add: 4.0ms (34.9% of total)
ival-sqrt: 2.0ms (17.5% 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
-5.666881818091053e-282
9.318421290101958e-299
Results
1.0ms16×0invalid
1.0ms16×0valid
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 (66.9% 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)

bsearch45.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
41.0ms
-5.666881818091053e-282
9.318421290101958e-299
Results
17.0ms181×0invalid
14.0ms176×0valid
Compiler

Compiled 265 to 203 computations (23.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 11.0ms (60% of total)
ival-add: 4.0ms (21.8% of total)
ival-sqrt: 3.0ms (16.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch46.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
42.0ms
-5.666881818091053e-282
9.318421290101958e-299
Results
16.0ms197×0invalid
14.0ms176×0valid
Compiler

Compiled 243 to 192 computations (21% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 10.0ms (58.3% of total)
ival-add: 4.0ms (23.3% of total)
ival-sqrt: 3.0ms (17.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Rules
14×*-commutative
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056493
174493
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 y #s(literal 541942639517149/5890680864316836766447387249177476247119386964598150177535756899376584320794655559932591384900650140340063891615625817543763223144510803885845624607194288107610698331745992221533871131893632012106238622173921469033288521558997823700137184806201826907368669534112523820726591354912103343876844956209126576528293888 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z)))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z))))
(if (<=.f64 y #s(literal 139999999999999999798673408 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (+.f64 y z) x) (*.f64 y z)))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (+.f64 y z) x) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(if (<=.f64 y #s(literal -3269984763141685/653996952628336987883560210607911261328982429019490727199554680401825592727622145076415026132626866532955732981904996841544888480036812770751011814861973559810459458912611754481266760562888863640011851938052153014134639969934006809031100094365055109531933378765047739725368031717079125173169291264 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 541942639517149/5890680864316836766447387249177476247119386964598150177535756899376584320794655559932591384900650140340063891615625817543763223144510803885845624607194288107610698331745992221533871131893632012106238622173921469033288521558997823700137184806201826907368669534112523820726591354912103343876844956209126576528293888 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 -2024022533073/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 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 541942639517149/5890680864316836766447387249177476247119386964598150177535756899376584320794655559932591384900650140340063891615625817543763223144510803885845624607194288107610698331745992221533871131893632012106238622173921469033288521558997823700137184806201826907368669534112523820726591354912103343876844956209126576528293888 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z)))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z))))
(if (<=.f64 y #s(literal 139999999999999999798673408 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (+.f64 y z) x) (*.f64 y z)))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 y))))
(if (<=.f64 y #s(literal 139999999999999999798673408 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x (+.f64 y z)) (*.f64 y z)))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 (+.f64 y z) x) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x (+.f64 y 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 (+.f64 (*.f64 y x) (*.f64 z (+.f64 y x)))))
(if (<=.f64 y #s(literal -3269984763141685/653996952628336987883560210607911261328982429019490727199554680401825592727622145076415026132626866532955732981904996841544888480036812770751011814861973559810459458912611754481266760562888863640011851938052153014134639969934006809031100094365055109531933378765047739725368031717079125173169291264 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 541942639517149/5890680864316836766447387249177476247119386964598150177535756899376584320794655559932591384900650140340063891615625817543763223144510803885845624607194288107610698331745992221533871131893632012106238622173921469033288521558997823700137184806201826907368669534112523820726591354912103343876844956209126576528293888 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 -2024022533073/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 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)))

soundness1.9s (15.8%)

Rules
1211×log1p-expm1-u
969×log1p-expm1-u
896×log1p-expm1-u
843×fma-neg
772×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025272
1403272
26109272
057590
1156534
2328530
3624530
41291530
51969530
62919530
73283530
83342530
93348530
103348530
034292
1513272
26685272
0134335412
1382933259
032271
1510255
26922255
080844868
1231043179
Stop Event
fuel
node limit
node limit
node limit
node limit
saturated
node limit
Compiler

Compiled 322 to 176 computations (45.3% saved)

preprocess159.0ms (1.3%)

Compiler

Compiled 576 to 344 computations (40.3% saved)

end0.0ms (0%)

Profiling

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