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

Time bar (total: 13.8s)

analyze424.0ms (3.1%)

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: 106.0ms
ival-mult: 61.0ms (57.3% of total)
ival-add: 22.0ms (20.7% of total)
ival-sqrt: 21.0ms (19.7% of total)
const: 2.0ms (1.9% of total)

sample1.8s (13.4%)

Results
654.0ms8256×0valid
464.0ms4540×0invalid
Precisions
Click to see histograms. Total time spent on operations: 624.0ms
ival-mult: 358.0ms (57.4% of total)
ival-add: 141.0ms (22.6% of total)
ival-sqrt: 101.0ms (16.2% of total)
const: 17.0ms (2.7% of total)
backward-pass: 6.0ms (1% of total)
Bogosity

preprocess307.0ms (2.2%)

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)

explain155.0ms (1.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
940-1(-2.748093817120696e-142 -5.224031082222952e-173 -7.313037728149003e-300)(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
60-0-(+.f64 (*.f64 x y) (*.f64 x z))
30-0-(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
00-0-x
00-0-(*.f64 y z)
00-0-y
00-0-#s(literal 2 binary64)
00-0-(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
00-0-(*.f64 x y)
00-0-(*.f64 x z)
00-0-z
Results
54.0ms512×256valid
Compiler

Compiled 139 to 37 computations (73.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 14.0ms (53.8% of total)
ival-sqrt: 6.0ms (23% of total)
ival-add: 5.0ms (19.2% of total)
const: 1.0ms (3.8% of total)

eval1.0ms (0%)

Compiler

Compiled 37 to 22 computations (40.5% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
65.5%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
65.4%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
Compiler

Compiled 29 to 19 computations (34.5% saved)

localize62.0ms (0.5%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
65.5%
(sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))
100.0%
(*.f64 z (+.f64 y x))
98.1%
(+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))
65.5%
(sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x))))
Results
42.0ms256×256valid
Compiler

Compiled 90 to 19 computations (78.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 11.0ms (45.7% of total)
ival-add: 5.0ms (20.8% of total)
ival-sqrt: 4.0ms (16.6% of total)
<compiled-spec>: 3.0ms (12.5% of total)
const: 1.0ms (4.2% of total)

series35.0ms (0.3%)

Counts
4 → 144
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 (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))))))))>
#<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)))))))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))) (*.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) x)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))) (*.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) x)) (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 z (+.f64 x y)))))>
#<alt (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 z (pow.f64 (+.f64 x y) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 x y))))))>
#<alt (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 x y))) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 5 binary64))))) (*.f64 z (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))))))>
#<alt (sqrt.f64 (*.f64 z (+.f64 x y)))>
#<alt (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (+.f64 x y) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)))) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) z)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) z)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) #s(literal 5 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) y)) z)) (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (sqrt.f64 (*.f64 x z))>
#<alt (+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (*.f64 y (+.f64 x z)))))>
#<alt (+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 y (pow.f64 (+.f64 x z) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (+.f64 x z))))))>
#<alt (+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 y (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (+.f64 x z))) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64))))) (*.f64 y (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))))))>
#<alt (sqrt.f64 (*.f64 y (+.f64 x z)))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))))))>
#<alt (*.f64 y (+.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (+.f64 x z) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y (+.f64 x z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.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 (sqrt.f64 (/.f64 (+.f64 x z) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x z)))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 (+.f64 x z) #s(literal 5 binary64))))))) (+.f64 (*.f64 #s(literal 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 (sqrt.f64 (/.f64 (+.f64 x z) y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
Calls

36 calls:

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

rewrite261.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
873×fma-define
842×log1p-expm1-u
842×expm1-log1p-u
373×fma-neg
129×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020138
1284138
24186138
Stop Event
node limit
Counts
4 → 219
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 (fma.f64 x z (*.f64 y (+.f64 x z))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))) (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(*.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(*.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.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 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 z (+.f64 x y)) (fma.f64 z (+.f64 x y) (neg.f64 (*.f64 x y))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))))
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(hypot.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 z (+.f64 x y))))
(hypot.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) (sqrt.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))) #s(literal 1 binary64))
(-.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 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(*.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 x z) (*.f64 x z)))
(*.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 2 binary64)))
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(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))) (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(*.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(*.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.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 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 z (+.f64 x y)) (fma.f64 z (+.f64 x y) (neg.f64 (*.f64 x y))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))))
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(hypot.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 z (+.f64 x y))))
(hypot.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) (sqrt.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))) #s(literal 1 binary64)))

simplify293.0ms (2.1%)

Algorithm
egg-herbie
Rules
785×associate-*r*
696×associate-*l*
532×fma-define
370×distribute-lft-in
355×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
079124548
1221323785
2761223497
Stop Event
node limit
Counts
363 → 459
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 y z))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 y z) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (+.f64 y z))))))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (+.f64 y z))) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (pow.f64 (+.f64 y z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 y z) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 z #s(literal 5 binary64))))))))))))
(sqrt.f64 (*.f64 x (+.f64 y z)))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y z)))) (*.f64 y z)))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 y z) #s(literal 3 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y z)))) (*.f64 y z))))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (+.f64 y z) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 y z) #s(literal 3 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 (+.f64 y z) #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y z)))) (*.f64 y z)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)))) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))) (*.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) x)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))) (*.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) x)) (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z))))) (*.f64 y (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) x)) (sqrt.f64 #s(literal -1 binary64))))))))
(sqrt.f64 (*.f64 x z))
(+.f64 (sqrt.f64 (*.f64 x z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (*.f64 y (+.f64 x z)))))
(+.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))
(+.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)))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (+.f64 x y) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
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(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 z (+.f64 x y)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (+.f64 x z)) (*.f64 x z))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) z) (*.f64 y (+.f64 x z)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 z (+.f64 x y)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 (*.f64 y z))) (cbrt.f64 (*.f64 y z)) (fma.f64 x z (*.f64 x y)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x z)) (cbrt.f64 (*.f64 x z))) (cbrt.f64 (*.f64 x z)) (*.f64 y (+.f64 x z)))
(fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) (fma.f64 x z (*.f64 x y)))
(fma.f64 (sqrt.f64 (*.f64 x z)) (sqrt.f64 (*.f64 x z)) (*.f64 y (+.f64 x z)))
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 z)) (*.f64 (sqrt.f64 y) (sqrt.f64 z)) (fma.f64 x z (*.f64 x y)))
(fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (fma.f64 x z (*.f64 x y)))
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 z)) (*.f64 (sqrt.f64 x) (sqrt.f64 z)) (*.f64 y (+.f64 x z)))
(fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 x)) (*.f64 (sqrt.f64 z) (sqrt.f64 x)) (*.f64 y (+.f64 x z)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (fma.f64 x z (*.f64 x y)))
(fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (fma.f64 x z (*.f64 x y)))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (fma.f64 x z (*.f64 x y)))
(fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 x z (*.f64 x y)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 y (+.f64 x z)))
(fma.f64 (*.f64 x (sqrt.f64 z)) (sqrt.f64 z) (*.f64 y (+.f64 x z)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 z (+.f64 x y)))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 z (+.f64 x y)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 z (+.f64 x y)))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 z (+.f64 x y)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x z)) (*.f64 x z))
(fma.f64 (*.f64 y (sqrt.f64 (+.f64 x z))) (sqrt.f64 (+.f64 x z)) (*.f64 x z))
(fma.f64 (*.f64 (+.f64 x z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 x z))
(fma.f64 (*.f64 (+.f64 x z) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x z))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y (+.f64 x z)))
(fma.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y (+.f64 x z)))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x y)) (*.f64 x y))
(fma.f64 (*.f64 z (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)) (*.f64 x y))
(fma.f64 (*.f64 (+.f64 x y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 x y))
(fma.f64 (*.f64 (+.f64 x y) (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x y))
(+.f64 (*.f64 x z) (*.f64 y z))
(+.f64 (*.f64 y z) (*.f64 x z))
(+.f64 (*.f64 (*.f64 y z) #s(literal 1 binary64)) (*.f64 (*.f64 x z) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (+.f64 x y)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (fma.f64 (*.f64 y z) (*.f64 y z) (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 (*.f64 y z) (*.f64 x z)))))
(/.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 (*.f64 x z) (*.f64 x z))) (fma.f64 y z (neg.f64 (*.f64 x z))))
(/.f64 (*.f64 z (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 z (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (-.f64 y x))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) z) (fma.f64 x (-.f64 x y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) z) (-.f64 y x))
(pow.f64 (*.f64 z (+.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (+.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (+.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (+.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (+.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 z (+.f64 x y))))
(exp.f64 (log.f64 (*.f64 z (+.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 x y))) #s(literal 1 binary64)))
(fma.f64 x z (*.f64 y z))
(fma.f64 y z (*.f64 x z))
(fma.f64 z x (*.f64 y z))
(fma.f64 z y (*.f64 x z))
(fma.f64 #s(literal 1 binary64) (*.f64 x z) (*.f64 y z))
(fma.f64 #s(literal 1 binary64) (*.f64 y z) (*.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) y) (*.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) x) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) z) (*.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) z) (*.f64 y z))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) (*.f64 x z))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) x) (*.f64 y z))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) (*.f64 x z))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) z) (*.f64 y z))
(fma.f64 (*.f64 y z) #s(literal 1 binary64) (*.f64 (*.f64 x z) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y z)) (cbrt.f64 (*.f64 y z))) (cbrt.f64 (*.f64 y z)) (*.f64 x z))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x z)) (cbrt.f64 (*.f64 x z))) (cbrt.f64 (*.f64 x z)) (*.f64 y z))
(fma.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 (*.f64 y z)) (*.f64 x z))
(fma.f64 (sqrt.f64 (*.f64 x z)) (sqrt.f64 (*.f64 x z)) (*.f64 y z))
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 z)) (*.f64 (sqrt.f64 y) (sqrt.f64 z)) (*.f64 x z))
(fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 x z))
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 z)) (*.f64 (sqrt.f64 x) (sqrt.f64 z)) (*.f64 y z))
(fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 x)) (*.f64 (sqrt.f64 z) (sqrt.f64 x)) (*.f64 y z))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 x z))
(fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x z))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 x z))
(fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x z))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 y z))
(fma.f64 (*.f64 x (sqrt.f64 z)) (sqrt.f64 z) (*.f64 y z))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y z))
(fma.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y z))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))) (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(*.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(*.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.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 y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 z (+.f64 x y)) (fma.f64 z (+.f64 x y) (neg.f64 (*.f64 x y))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))))
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(hypot.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 z (+.f64 x y))))
(hypot.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) (sqrt.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.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 #s(literal -1/8 binary64) (*.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 (*.f64 #s(literal 1/2 binary64) (+.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 1/2 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 (*.f64 #s(literal 1/16 binary64) 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) (+.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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 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))))))))))
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(fma.f64 (sqrt.f64 z) (*.f64 y (sqrt.f64 z)) (*.f64 z x))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 z (cbrt.f64 y)) (*.f64 z x))
(+.f64 (*.f64 z x) (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 3 binary64))))
(fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x z))
(fma.f64 (sqrt.f64 y) (*.f64 z (sqrt.f64 y)) (*.f64 z x))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 x (cbrt.f64 z)) (*.f64 y z))
(+.f64 (*.f64 y z) (*.f64 x (pow.f64 (cbrt.f64 z) #s(literal 3 binary64))))
(fma.f64 (*.f64 x (sqrt.f64 z)) (sqrt.f64 z) (*.f64 y z))
(fma.f64 (sqrt.f64 z) (*.f64 x (sqrt.f64 z)) (*.f64 y z))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 z (cbrt.f64 x)) (*.f64 y z))
(+.f64 (*.f64 y z) (*.f64 z (pow.f64 (cbrt.f64 x) #s(literal 3 binary64))))
(fma.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y z))
(fma.f64 (sqrt.f64 x) (*.f64 z (sqrt.f64 x)) (*.f64 y z))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))))
(*.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 1 binary64))
(sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))
(sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))
(sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))) (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(*.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 (cbrt.f64 (sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))) (cbrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x)))))
(*.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(*.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 (cbrt.f64 (sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))) (cbrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x)))))
(*.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)))
(sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))
(sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))
(sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.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)))))
(*.f64 (fabs.f64 (cbrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))) (sqrt.f64 (cbrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.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)))))
(*.f64 (fabs.f64 (cbrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))) (sqrt.f64 (cbrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))))
(/.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 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (*.f64 y x) (*.f64 z (+.f64 y x)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (+.f64 x y)) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 z (+.f64 x y)) (fma.f64 z (+.f64 x y) (neg.f64 (*.f64 x y))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 z (+.f64 y x)) (fma.f64 z (+.f64 y x) (*.f64 x (neg.f64 y))) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 z (+.f64 y x)) (-.f64 (*.f64 z (+.f64 y x)) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))
(sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))
(pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 1 binary64))
(sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))
(sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))) #s(literal 3 binary64))
(sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))
(sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/2 binary64)))
(cbrt.f64 (pow.f64 (fma.f64 y x (*.f64 z (+.f64 y x))) #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))
(sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))
(fabs.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))
(sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))
(sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))))
(sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))
(sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/2 binary64)))
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)) #s(literal 3/2 binary64)))
(cbrt.f64 (pow.f64 (fma.f64 y x (*.f64 z (+.f64 y x))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))))
(hypot.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 z (+.f64 x y))))
(sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))
(sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))
(hypot.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) (sqrt.f64 (*.f64 x y)))
(sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))
(sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))
(sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))
(sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))
(sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))
(sqrt.f64 (fma.f64 y x (*.f64 z (+.f64 y x))))

eval110.0ms (0.8%)

Compiler

Compiled 11575 to 5744 computations (50.4% saved)

prune103.0ms (0.7%)

Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New43920459
Fresh000
Picked202
Done000
Total44120461
Accuracy
81.1%
Counts
461 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.3%
(*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) (+.f64 z x))) (sqrt.f64 (*.f64 z x))))
65.1%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
64.2%
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))) #s(literal 3 binary64)))
17.7%
(*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (*.f64 y x) (*.f64 z (+.f64 y x))))))
44.8%
(*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 z) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))))))
43.6%
(*.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))))))))
38.5%
(*.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)))))
36.0%
(*.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)))))))))
34.9%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (*.f64 (+.f64 x z) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x z))))
64.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 3 binary64))))
64.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 z x) (*.f64 y (pow.f64 (cbrt.f64 (+.f64 z x)) #s(literal 3 binary64))))))
36.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
55.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x (+.f64 y (*.f64 x (/.f64 y z)))))))
3.3%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
36.3%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
31.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
45.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z x)))))))
32.2%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
60.7%
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 1/2 binary64))))
46.6%
(*.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 754 to 510 computations (32.4% saved)

localize705.0ms (5.1%)

Localize:

Found 11 expressions with local error:

NewAccuracyProgram
93.6%
(*.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)))))))
87.1%
(*.f64 (*.f64 y x) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x))))
86.3%
(sqrt.f64 (/.f64 (+.f64 y x) z))
85.3%
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x)))
95.6%
(exp.f64 (*.f64 (log.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 1/2 binary64)))
79.5%
(log.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))
100.0%
(*.f64 z (+.f64 y x))
86.2%
(sqrt.f64 (*.f64 z (+.f64 y x)))
83.6%
(sqrt.f64 (*.f64 y x))
99.5%
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
79.6%
(pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64))
Results
122.0ms129×256valid
506.0ms127×256invalid
Compiler

Compiled 322 to 118 computations (63.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 479.0ms
ival-mult: 185.0ms (38.7% of total)
ival-pow: 119.0ms (24.9% of total)
ival-add: 112.0ms (23.4% of total)
ival-div: 27.0ms (5.6% of total)
ival-sqrt: 16.0ms (3.3% of total)
ival-exp: 6.0ms (1.3% of total)
const: 5.0ms (1% of total)
<compiled-spec>: 4.0ms (0.8% of total)
ival-log: 4.0ms (0.8% of total)

series159.0ms (1.2%)

Counts
10 → 348
Calls
Call 1
Inputs
#<alt (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64))>
#<alt (pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)) #s(literal 2 binary64))>
#<alt (sqrt.f64 (*.f64 y x))>
#<alt (sqrt.f64 (*.f64 z (+.f64 y x)))>
#<alt (log.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))>
#<alt (exp.f64 (*.f64 (log.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 1/2 binary64)))>
#<alt (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x)))>
#<alt (sqrt.f64 (/.f64 (+.f64 y x) z))>
#<alt (*.f64 (*.f64 y x) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x))))>
#<alt (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y x) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x)))))))>
Outputs
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64))>
#<alt (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)))>
#<alt (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)))>
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#<alt (*.f64 y (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) z))))) (+.f64 (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 3 binary64))))))))) (+.f64 (/.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (sqrt.f64 (*.f64 y (pow.f64 z #s(literal 3 binary64)))))) (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z)))))) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 y z)))))) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 3 binary64))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 3 binary64))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 (*.f64 z (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 y z)))))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) z))))) (+.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 3 binary64))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 (*.f64 z (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 y z)))))) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) y) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (sqrt.f64 (*.f64 y (pow.f64 z #s(literal 3 binary64)))))))) y)) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 y z))))) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 3 binary64))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 (*.f64 z (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 y z)))))) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (sqrt.f64 (*.f64 y z))>
#<alt (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64)))))))))>
#<alt (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (+.f64 (*.f64 x (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 3 binary64)))))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) z))))))) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))))))))))>
#<alt (+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x (*.f64 z (+.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 5 binary64)) z)))) (*.f64 #s(literal 3/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))))) (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 z #s(literal 3 binary64)))))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) z)))))))) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))))))))))>
#<alt (*.f64 x (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 3 binary64))))) y)))))>
#<alt (*.f64 x (+.f64 (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 3 binary64))))) y)))) (/.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x z)) y)))) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) z))) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 3 binary64))))) y)))) (/.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x z)) y)))) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) z))) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 3 binary64))))) y)))) (+.f64 (/.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (*.f64 x (pow.f64 z #s(literal 3 binary64)))) (*.f64 y (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) z)) (pow.f64 y #s(literal 2 binary64)))))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x z)) y)))) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 3 binary64))))) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 3 binary64))))) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 (*.f64 z (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x z)) y)))) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) z))) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 3 binary64))))) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 (*.f64 z (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x z)) y)))) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) z)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (*.f64 x (pow.f64 z #s(literal 3 binary64)))) (*.f64 y (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))))) x)) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 x z)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 z #s(literal 3 binary64))))) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 (*.f64 z (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x z)) y)))) (pow.f64 x #s(literal 2 binary64)))))))>
Calls

87 calls:

TimeVariablePointExpression
39.0ms
x
@-inf
(sqrt (* z (+ y x)))
8.0ms
y
@-inf
(pow (+ (* y (+ x z)) (* x z)) 1/4)
5.0ms
y
@inf
(sqrt (/ (+ y x) z))
4.0ms
z
@-inf
(* (* y x) (sqrt (/ (/ 1 (pow z 3)) (+ y x))))
4.0ms
x
@0
(pow (+ (* y (+ x z)) (* x z)) 1/4)

rewrite132.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
274×associate-*r*
254×log1p-expm1-u
254×expm1-log1p-u
248×add-exp-log
246×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039413
1594405
Stop Event
node limit
Counts
10 → 244
Calls
Call 1
Inputs
(pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 y x))
(sqrt.f64 (*.f64 z (+.f64 y x)))
(log.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 1/2 binary64)))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x)))
(sqrt.f64 (/.f64 (+.f64 y x) z))
(*.f64 (*.f64 y x) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y x) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x)))))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))) (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64))) (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(*.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))))
(sqrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(fabs.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)))
(log.f64 (exp.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/4 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))) #s(literal 1 binary64))
(*.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))) (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))))
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(*.f64 (pow.f64 (/.f64 (+.f64 y x) z) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (+.f64 y x) z) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (+.f64 y x) z)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 y x) z))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 z (+.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 y x))))
(/.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 y x))) (sqrt.f64 (neg.f64 z)))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 y x))) (neg.f64 (sqrt.f64 z)))
(pow.f64 (/.f64 (+.f64 y x) z) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 y x) z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 y x) z) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 y x) z) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 y x) z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 y x) z) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (+.f64 y x) z))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (+.f64 y x) z))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 y x) z))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y x) z)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 y x) z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 y x) (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 y x)))
(/.f64 (*.f64 (pow.f64 z #s(literal -3/2 binary64)) (*.f64 y x)) (sqrt.f64 (+.f64 y x)))
(pow.f64 (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x)))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x)))) (*.f64 y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))))))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 y x)) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 y x)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x)))))))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x)))))))
(exp.f64 (log.f64 (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x)))))) #s(literal 1 binary64)))
(+.f64 (*.f64 z (sqrt.f64 (/.f64 (+.f64 y x) z))) (*.f64 (*.f64 z (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x)))))
(+.f64 (*.f64 (*.f64 z (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x)))) (*.f64 z (sqrt.f64 (/.f64 (+.f64 y x) z))))
(+.f64 (*.f64 (*.f64 z (sqrt.f64 (/.f64 (+.f64 y x) z))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 z (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) (sqrt.f64 (/.f64 (+.f64 y x) z)))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 z (sqrt.f64 (/.f64 (+.f64 y x) z))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 z (sqrt.f64 (/.f64 (+.f64 y x) z))) (*.f64 z (sqrt.f64 (/.f64 (+.f64 y x) z)))) (-.f64 (*.f64 (*.f64 (*.f64 z (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x)))) (*.f64 (*.f64 z (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) (*.f64 (*.f64 z (sqrt.f64 (/.f64 (+.f64 y x) z))) (*.f64 (*.f64 z (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))))))
(/.f64 (-.f64 (*.f64 (*.f64 z (sqrt.f64 (/.f64 (+.f64 y x) z))) (*.f64 z (sqrt.f64 (/.f64 (+.f64 y x) z)))) (*.f64 (*.f64 (*.f64 z (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x)))) (*.f64 (*.f64 z (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x)))))) (-.f64 (*.f64 z (sqrt.f64 (/.f64 (+.f64 y x) z))) (*.f64 (*.f64 z (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))))
(/.f64 (*.f64 z (+.f64 (pow.f64 (/.f64 (+.f64 y x) z) #s(literal 3/2 binary64)) (*.f64 (pow.f64 (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (+.f64 (/.f64 (+.f64 y x) z) (*.f64 (*.f64 (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))) (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) (-.f64 (*.f64 (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))) (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 y x) z))))))
(/.f64 (*.f64 z (-.f64 (/.f64 (+.f64 y x) z) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) (-.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))) (*.f64 (*.f64 y x) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 y x) z) #s(literal 3/2 binary64)) (*.f64 (pow.f64 (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) z) (+.f64 (/.f64 (+.f64 y x) z) (*.f64 (*.f64 (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))) (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) (-.f64 (*.f64 (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))) (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 y x) z))))))
(/.f64 (*.f64 (-.f64 (/.f64 (+.f64 y x) z) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) z) (-.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))) (*.f64 (*.f64 y x) #s(literal 1/2 binary64)))))
(pow.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) (sqrt.f64 (/.f64 (+.f64 y x) z)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) (sqrt.f64 (/.f64 (+.f64 y x) z))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) (sqrt.f64 (/.f64 (+.f64 y x) z)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) (sqrt.f64 (/.f64 (+.f64 y x) z))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) (sqrt.f64 (/.f64 (+.f64 y x) z)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) (sqrt.f64 (/.f64 (+.f64 y x) z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) (sqrt.f64 (/.f64 (+.f64 y x) z)))))))
(cbrt.f64 (pow.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) (sqrt.f64 (/.f64 (+.f64 y x) z)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) (sqrt.f64 (/.f64 (+.f64 y x) z))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) (sqrt.f64 (/.f64 (+.f64 y x) z))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) (sqrt.f64 (/.f64 (+.f64 y x) z))))))
(log1p.f64 (expm1.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) (sqrt.f64 (/.f64 (+.f64 y x) z))))))
(exp.f64 (log.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) (sqrt.f64 (/.f64 (+.f64 y x) z))))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) (sqrt.f64 (/.f64 (+.f64 y x) z))))) #s(literal 1 binary64)))
(fma.f64 z (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 (*.f64 z (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x)))))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) z (*.f64 (*.f64 z (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x)))))

simplify674.0ms (4.9%)

Algorithm
egg-herbie
Rules
818×*-commutative
671×times-frac
412×+-commutative
272×fma-define
244×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0196456249
1617453984
Stop Event
node limit
Counts
592 → 915
Calls
Call 1
Inputs
(pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64))
(+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)))
(+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)))
(+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))) (*.f64 y (+.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)) (*.f64 y (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/384 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64))) (*.f64 #s(literal 1/12 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))))) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))))))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))))
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(pow.f64 (cbrt.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) (sqrt.f64 (/.f64 (+.f64 y x) z))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) (sqrt.f64 (/.f64 (+.f64 y x) z)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) (sqrt.f64 (/.f64 (+.f64 y x) z))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) (sqrt.f64 (/.f64 (+.f64 y x) z)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) (sqrt.f64 (/.f64 (+.f64 y x) z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) (sqrt.f64 (/.f64 (+.f64 y x) z)))))))
(cbrt.f64 (pow.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) (sqrt.f64 (/.f64 (+.f64 y x) z)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) (sqrt.f64 (/.f64 (+.f64 y x) z))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) (sqrt.f64 (/.f64 (+.f64 y x) z))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) (sqrt.f64 (/.f64 (+.f64 y x) z))))))
(log1p.f64 (expm1.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) (sqrt.f64 (/.f64 (+.f64 y x) z))))))
(exp.f64 (log.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) (sqrt.f64 (/.f64 (+.f64 y x) z))))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) (sqrt.f64 (/.f64 (+.f64 y x) z))))) #s(literal 1 binary64)))
(fma.f64 z (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 (*.f64 z (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x)))))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) z (*.f64 (*.f64 z (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x)))))
Outputs
(pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 x z) #s(literal 1/4 binary64))
(+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)))
(fma.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))) (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)))
(+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)))
(fma.f64 y (fma.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) (*.f64 (*.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) y) (fma.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))))) (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)))
(fma.f64 y (fma.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) (*.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) (*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))))))) (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)))
(+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))) (*.f64 y (+.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)) (*.f64 y (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/384 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64))) (*.f64 #s(literal 1/12 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))))) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))))))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)))
(fma.f64 y (fma.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) (*.f64 y (*.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) (+.f64 (*.f64 y (fma.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) (pow.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/384 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)) (*.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64))))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))))))) (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)))
(fma.f64 y (fma.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) (*.f64 y (*.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) (+.f64 (*.f64 y (fma.f64 #s(literal -1/32 binary64) (*.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (fma.f64 #s(literal 1/384 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)) (*.f64 #s(literal 1/12 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))))))) (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (+.f64 x z)) (neg.f64 (neg.f64 (log.f64 y)))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (+.f64 x z)) (log.f64 y)))
(+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (*.f64 z (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))))) (*.f64 y (+.f64 x z)))))
(+.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (+.f64 x z)) (neg.f64 (neg.f64 (log.f64 y))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 x z) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (+.f64 x z)) (neg.f64 (neg.f64 (log.f64 y)))))) (*.f64 y (+.f64 x z)))))
(+.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (+.f64 x z)) (log.f64 y))) (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 (/.f64 z y) (/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (+.f64 x z)) (log.f64 y))) (+.f64 x z))))))
(+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (*.f64 z (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))))) (*.f64 y (+.f64 x z)))) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))))) (pow.f64 y #s(literal 2 binary64)))))
(+.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (+.f64 x z)) (neg.f64 (neg.f64 (log.f64 y))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 x z) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (+.f64 x z)) (neg.f64 (neg.f64 (log.f64 y)))))) (*.f64 y (+.f64 x z))) (*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (+.f64 x z)) (neg.f64 (neg.f64 (log.f64 y))))) (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))) #s(literal -3/32 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (+.f64 x z)) (log.f64 y))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 (/.f64 z y) (/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (+.f64 x z)) (log.f64 y))) (+.f64 x z)))) (*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (+.f64 x z)) (log.f64 y))) (/.f64 (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 x z) #s(literal 2 binary64))) #s(literal -3/32 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (*.f64 z (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))))) (*.f64 y (+.f64 x z)))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))))) (pow.f64 y #s(literal 2 binary64))) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (+.f64 x z) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/384 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (+.f64 x z) #s(literal 3 binary64)))) (*.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (pow.f64 y #s(literal 3 binary64))))))
(+.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (+.f64 x z)) (neg.f64 (neg.f64 (log.f64 y))))) (+.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 x z) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (+.f64 x z)) (neg.f64 (neg.f64 (log.f64 y)))))) (*.f64 y (+.f64 x z))) (*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (+.f64 x z)) (neg.f64 (neg.f64 (log.f64 y))))) (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))) #s(literal -3/32 binary64)) (pow.f64 y #s(literal 2 binary64))))) (*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (+.f64 x z)) (neg.f64 (neg.f64 (log.f64 y))))) (/.f64 (fma.f64 #s(literal -1/32 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64)))) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64)))) #s(literal 11/128 binary64))) (pow.f64 y #s(literal 3 binary64))))))
(+.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (+.f64 x z)) (log.f64 y))) (+.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 (/.f64 z y) (/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (+.f64 x z)) (log.f64 y))) (+.f64 x z)))) (*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (+.f64 x z)) (log.f64 y))) (/.f64 (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 x z) #s(literal 2 binary64))) #s(literal -3/32 binary64)) (pow.f64 y #s(literal 2 binary64))))) (*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (+.f64 x z)) (log.f64 y))) (/.f64 (fma.f64 #s(literal -1/32 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64)))) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64)))) #s(literal 11/128 binary64))) (pow.f64 y #s(literal 3 binary64))))))
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(exp.f64 (log.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) (sqrt.f64 (/.f64 (+.f64 y x) z))))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal -3/2 binary64)) (/.f64 (*.f64 x y) (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (/.f64 (+.f64 x y) z))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (*.f64 x (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (/.f64 (+.f64 x y) z))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x))))) (sqrt.f64 (/.f64 (+.f64 y x) z))))) #s(literal 1 binary64)))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal -3/2 binary64)) (/.f64 (*.f64 x y) (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (/.f64 (+.f64 x y) z))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 (*.f64 x (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (/.f64 (+.f64 x y) z))))
(fma.f64 z (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 (*.f64 z (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x)))))
(fma.f64 z (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))) (*.f64 (*.f64 z (*.f64 x y)) #s(literal 1/2 binary64))))
(fma.f64 z (sqrt.f64 (/.f64 (+.f64 x y) z)) (/.f64 (*.f64 (*.f64 (*.f64 z (*.f64 x y)) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y))))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) z (*.f64 (*.f64 z (*.f64 (*.f64 y x) #s(literal 1/2 binary64))) (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 y x)))))
(fma.f64 z (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))) (*.f64 (*.f64 z (*.f64 x y)) #s(literal 1/2 binary64))))
(fma.f64 z (sqrt.f64 (/.f64 (+.f64 x y) z)) (/.f64 (*.f64 (*.f64 (*.f64 z (*.f64 x y)) #s(literal 1/2 binary64)) (pow.f64 z #s(literal -3/2 binary64))) (sqrt.f64 (+.f64 x y))))

eval512.0ms (3.7%)

Compiler

Compiled 39570 to 24021 computations (39.3% saved)

prune403.0ms (2.9%)

Pruning

25 alts after pruning (23 fresh and 2 done)

PrunedKeptTotal
New981211002
Fresh13215
Picked325
Done000
Total997251022
Accuracy
98.1%
Counts
1022 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.1%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 z y) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
31.4%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
42.4%
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) #s(literal 2 binary64)))
64.6%
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/4 binary64))) #s(literal 2 binary64)))
36.0%
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)))
31.1%
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y x))) #s(literal 3 binary64)))
52.5%
(*.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)))
31.3%
(*.f64 #s(literal 2 binary64) (*.f64 (cbrt.f64 (*.f64 y x)) (cbrt.f64 (sqrt.f64 (*.f64 y x)))))
42.6%
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 z (+.f64 y x)))) (*.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))))))))
47.4%
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal -3/2 binary64)) (*.f64 y x)) (sqrt.f64 (+.f64 y x)))))))
41.7%
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) y)))))
37.1%
(*.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))))))))
2.9%
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 x y))))))))
36.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
55.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x (+.f64 y (*.f64 x (/.f64 y z)))))))
36.3%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
3.3%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
31.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
16.8%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z (*.f64 y (/.f64 z x))))))
32.2%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
38.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 z (+.f64 y x)))))
42.7%
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (-.f64 (log.f64 (-.f64 (neg.f64 z) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64))))
29.6%
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1/2 binary64))))
25.5%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
Compiler

Compiled 754 to 563 computations (25.3% saved)

localize254.0ms (1.8%)

Localize:

Found 13 expressions with local error:

NewAccuracyProgram
99.9%
(*.f64 (cbrt.f64 (*.f64 y x)) (cbrt.f64 (sqrt.f64 (*.f64 y x))))
99.8%
(cbrt.f64 (sqrt.f64 (*.f64 y x)))
93.4%
(sqrt.f64 (*.f64 y x))
93.1%
(cbrt.f64 (*.f64 y x))
99.9%
(*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z))
99.9%
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 x y)))))
99.9%
(*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 x y))))))
99.5%
(/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 x y)))
90.4%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 x y))))
96.3%
(sqrt.f64 (*.f64 z x))
99.8%
(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/4 binary64))) #s(literal 2 binary64))
95.7%
(pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/4 binary64))
93.8%
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/4 binary64)))
Results
137.0ms191×256invalid
48.0ms65×256valid
Compiler

Compiled 239 to 81 computations (66.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 133.0ms
ival-pow: 44.0ms (33% of total)
ival-mult: 39.0ms (29.2% of total)
ival-sqrt: 17.0ms (12.7% of total)
ival-div: 11.0ms (8.2% of total)
ival-cbrt: 11.0ms (8.2% of total)
ival-add: 6.0ms (4.5% of total)
<compiled-spec>: 4.0ms (3% of total)
const: 3.0ms (2.2% of total)

series400.0ms (2.9%)

Counts
12 → 356
Calls
Call 1
Inputs
#<alt (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/4 binary64)))>
#<alt (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/4 binary64))>
#<alt (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/4 binary64))) #s(literal 2 binary64))>
#<alt (sqrt.f64 (*.f64 z x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 x y))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 x y)))>
#<alt (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 x y))))))>
#<alt (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 x y)))))>
#<alt (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z))>
#<alt (cbrt.f64 (*.f64 y x))>
#<alt (cbrt.f64 (sqrt.f64 (*.f64 y x)))>
#<alt (*.f64 (cbrt.f64 (*.f64 y x)) (cbrt.f64 (sqrt.f64 (*.f64 y x))))>
Outputs
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64))>
#<alt (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)))>
#<alt (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)))>
#<alt (+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))) (*.f64 y (+.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)) (*.f64 y (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/384 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64))) (*.f64 #s(literal 1/12 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))))) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))))))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)))>
#<alt (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (*.f64 z (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))))) (*.f64 y (+.f64 x z)))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (*.f64 z (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))))) (*.f64 y (+.f64 x z)))) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))))) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (*.f64 z (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))))) (*.f64 y (+.f64 x z)))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))))) (pow.f64 y #s(literal 2 binary64))) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (+.f64 x z) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/384 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (+.f64 x z) #s(literal 3 binary64)))) (*.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (+.f64 x z) #s(literal 3 binary64))))))) (pow.f64 y #s(literal 3 binary64))))))>
#<alt (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y))))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (*.f64 z (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))))) (*.f64 y (+.f64 x z)))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))))) y)) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 x (*.f64 z (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))))) (+.f64 x z)))) y)))>
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#<alt (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/4 binary64))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 7 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))) y)) (*.f64 (sqrt.f64 (/.f64 z x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
#<alt (sqrt.f64 (*.f64 z (+.f64 x y)))>
#<alt (sqrt.f64 (*.f64 z (+.f64 x y)))>
#<alt (sqrt.f64 (*.f64 z (+.f64 x y)))>
#<alt (sqrt.f64 (*.f64 z (+.f64 x y)))>
#<alt (sqrt.f64 (*.f64 z (+.f64 x y)))>
#<alt (sqrt.f64 (*.f64 z (+.f64 x y)))>
#<alt (sqrt.f64 (*.f64 z (+.f64 x y)))>
#<alt (sqrt.f64 (*.f64 z (+.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (cbrt.f64 (*.f64 x y))>
#<alt (cbrt.f64 (*.f64 x y))>
#<alt (cbrt.f64 (*.f64 x y))>
#<alt (cbrt.f64 (*.f64 x y))>
#<alt (cbrt.f64 (*.f64 x y))>
#<alt (cbrt.f64 (*.f64 x y))>
#<alt (cbrt.f64 (*.f64 x y))>
#<alt (cbrt.f64 (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (cbrt.f64 (*.f64 x y))>
#<alt (cbrt.f64 (*.f64 x y))>
#<alt (cbrt.f64 (*.f64 x y))>
#<alt (cbrt.f64 (*.f64 x y))>
#<alt (cbrt.f64 (*.f64 x y))>
#<alt (cbrt.f64 (*.f64 x y))>
#<alt (cbrt.f64 (*.f64 x y))>
#<alt (cbrt.f64 (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 x) (log.f64 y))))>
#<alt (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 x) (log.f64 y))))>
#<alt (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 x) (log.f64 y))))>
#<alt (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 x) (log.f64 y))))>
#<alt (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 x) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))))>
#<alt (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 x) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))))>
#<alt (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 x) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))))>
#<alt (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 x) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))))>
#<alt (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 x) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 x) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 x) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 x) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))>
#<alt (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 x) (log.f64 y))))>
#<alt (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 x) (log.f64 y))))>
#<alt (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 x) (log.f64 y))))>
#<alt (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 x) (log.f64 y))))>
#<alt (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 y) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))>
#<alt (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 y) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))>
#<alt (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 y) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))>
#<alt (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 y) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))>
#<alt (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 y) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 y) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 y) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 y) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))>
Calls

96 calls:

TimeVariablePointExpression
85.0ms
y
@0
(cbrt (sqrt (* y x)))
54.0ms
y
@0
(cbrt (pow (+ (* y (+ x z)) (* x z)) 3/4))
44.0ms
z
@0
(pow (cbrt (pow (+ (* y (+ x z)) (* x z)) 3/4)) 2)
26.0ms
y
@inf
(pow (+ (* y (+ x z)) (* x z)) 3/4)
21.0ms
z
@0
(cbrt (pow (+ (* y (+ x z)) (* x z)) 3/4))

rewrite305.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
1012×log1p-expm1-u
222×associate-*r*
215×add-cube-cbrt
215×expm1-log1p-u
212×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037389
1581361
26621361
Stop Event
node limit
Counts
12 → 278
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/4 binary64)))
(pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/4 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/4 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 z x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 x y))))
(/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 x y)))
(*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 x y))))))
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 x y)))))
(*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z))
(cbrt.f64 (*.f64 y x))
(cbrt.f64 (sqrt.f64 (*.f64 y x)))
(*.f64 (cbrt.f64 (*.f64 y x)) (cbrt.f64 (sqrt.f64 (*.f64 y x))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/2 binary64)))) (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64))) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/2 binary64)))))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/8 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/8 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)) #s(literal 4 binary64)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/2 binary64))))))
(pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/4 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/2 binary64))))
(fabs.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)))
(log.f64 (exp.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)))))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64))))
(exp.f64 (log.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 (*.f64 #s(literal 3/4 binary64) (log.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/4 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/4 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)) (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/2 binary64))) (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/4 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)) #s(literal 4 binary64))) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/2 binary64)))) (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/8 binary64)) (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/8 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 2 binary64))) #s(literal 3/4 binary64)) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 3/4 binary64)) (pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 3/4 binary64)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/2 binary64))) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/2 binary64))))) (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/2 binary64))) (sqrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64))))
(sqrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/2 binary64)))
(log.f64 (exp.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/4 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/4 binary64))))
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(cbrt.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 (+.f64 y x) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (+.f64 y 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 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 y x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y x)))
(*.f64 (cbrt.f64 (*.f64 y x)) #s(literal 1 binary64))
(*.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)) (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 y) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 y))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))) (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 y x))))
(*.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1/6 binary64)) (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 y x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 y x))))
(*.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 y x)))) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))))
(pow.f64 (*.f64 y x) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x))) #s(literal 3 binary64))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (*.f64 y x)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 y x))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 y x))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 y x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x))) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 y x))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1/6 binary64)) (pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 (*.f64 y x) #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 y x) #s(literal 1/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (cbrt.f64 y)) (sqrt.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x)))))
(pow.f64 (*.f64 y x) #s(literal 1/6 binary64))
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (cbrt.f64 (*.f64 y x)))
(fabs.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)))))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))))
(exp.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 y x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)) #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))
(sqrt.f64 (*.f64 y x))
(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)))

simplify562.0ms (4.1%)

Algorithm
egg-herbie
Rules
909×*-commutative
710×times-frac
421×+-commutative
295×fma-define
245×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022304295024301
169994295023243
Stop Event
node limit
Counts
634 → 855
Calls
Call 1
Inputs
(pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64))
(+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)))
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(+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (*.f64 z (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))))) (*.f64 y (+.f64 x z)))) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (+.f64 x z) #s(literal 2 binary64)))))) (pow.f64 y #s(literal 2 binary64)))))
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(pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/4 binary64))
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(/.f64 (*.f64 y x) (sqrt.f64 (*.f64 z (+.f64 y x))))
(pow.f64 (/.f64 (*.f64 y x) (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 y x) (sqrt.f64 (*.f64 z (+.f64 y x))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 y x) (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 y x) (sqrt.f64 (*.f64 z (+.f64 y x))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 y x) (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 y (sqrt.f64 (*.f64 z (+.f64 y x))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 y x) (sqrt.f64 (*.f64 z (+.f64 y x)))))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 y x) (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) z) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 y x) (sqrt.f64 (*.f64 z (+.f64 y x))))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 y x) (sqrt.f64 (*.f64 z (+.f64 y x))))))
(exp.f64 (log.f64 (/.f64 (*.f64 y x) (sqrt.f64 (*.f64 z (+.f64 y x))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y x) (sqrt.f64 (*.f64 z (+.f64 y x))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (sqrt.f64 (*.f64 z (+.f64 y x)))))) #s(literal 1 binary64))
(/.f64 y (sqrt.f64 (*.f64 z (+.f64 y x))))
(pow.f64 (/.f64 y (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y (sqrt.f64 (*.f64 z (+.f64 y x))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y (sqrt.f64 (*.f64 z (+.f64 y x))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 y (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y (sqrt.f64 (*.f64 z (+.f64 y x))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y (sqrt.f64 (*.f64 z (+.f64 y x)))))))
(cbrt.f64 (pow.f64 (/.f64 y (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) z) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) z) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y (sqrt.f64 (*.f64 z (+.f64 y x))))))
(log1p.f64 (expm1.f64 (/.f64 y (sqrt.f64 (*.f64 z (+.f64 y x))))))
(exp.f64 (log.f64 (/.f64 y (sqrt.f64 (*.f64 z (+.f64 y x))))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (sqrt.f64 (*.f64 z (+.f64 y x))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 z (+.f64 y x))))) #s(literal 1 binary64))
(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 (sqrt.f64 (*.f64 z (+.f64 y x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 z (+.f64 y x)))
(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 (sqrt.f64 (*.f64 z (+.f64 y x))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 (+.f64 y x) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (+.f64 y 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 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 y x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y x)))
(*.f64 (cbrt.f64 (*.f64 y x)) #s(literal 1 binary64))
(*.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)) (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 y) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 y))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))) (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 y x))))
(*.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1/6 binary64)) (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 y x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 y x))))
(*.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 y x)))) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))))
(pow.f64 (*.f64 y x) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x))) #s(literal 3 binary64))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (*.f64 y x)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 y x))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 y x))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 y x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x))) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 y x))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1/6 binary64)) (pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 (*.f64 y x) #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 y x) #s(literal 1/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (cbrt.f64 y)) (sqrt.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x)))))
(pow.f64 (*.f64 y x) #s(literal 1/6 binary64))
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (cbrt.f64 (*.f64 y x)))
(fabs.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)))))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))))
(exp.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 y x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)) #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))
(sqrt.f64 (*.f64 y x))
(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)))
Outputs
(pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 x z) #s(literal 1/4 binary64))
(+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)))
(fma.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))) (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)))
(+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)) (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)))
(fma.f64 y (fma.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) (*.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) (*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))))))) (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)))
(+.f64 (*.f64 y (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))) (*.f64 y (+.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)) (*.f64 y (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/384 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64))) (*.f64 #s(literal 1/12 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))))) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))))))))) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1/4 binary64)))
(fma.f64 y (fma.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) (*.f64 y (*.f64 (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)) (+.f64 (*.f64 y (fma.f64 #s(literal -1/32 binary64) (*.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (fma.f64 #s(literal 1/384 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)) (*.f64 #s(literal 1/12 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (+.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/32 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))))))) (pow.f64 (*.f64 x z) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y))))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (+.f64 x z)) (neg.f64 (neg.f64 (log.f64 y)))))
(+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (*.f64 z (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 x z)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))))) (*.f64 y (+.f64 x z)))))
(+.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (+.f64 x z)) (neg.f64 (neg.f64 (log.f64 y))))) (*.f64 #s(literal 1/4 binary64) (*.f64 x (/.f64 (*.f64 z (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (+.f64 x z)) (neg.f64 (neg.f64 (log.f64 y)))))) (*.f64 y (+.f64 x z))))))
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(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x y))) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 1/6 binary64)))))
(pow.f64 (*.f64 y x) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 x y))
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 1 binary64))
(cbrt.f64 (*.f64 x y))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(cbrt.f64 (*.f64 x y))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x))) #s(literal 3 binary64))
(cbrt.f64 (*.f64 x y))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)))
(fabs.f64 (cbrt.f64 (*.f64 x y)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 y x))))
(cbrt.f64 (*.f64 x y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (*.f64 y x)))))
(cbrt.f64 (*.f64 x y))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 y x))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x y))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 y x))))
(cbrt.f64 (*.f64 x y))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 y x))))
(cbrt.f64 (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1/3 binary64)))
(cbrt.f64 (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y x))) #s(literal 1 binary64)))
(cbrt.f64 (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x y) #s(literal 1/6 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)))
(pow.f64 (*.f64 x y) #s(literal 1/6 binary64))
(*.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1/6 binary64))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x))) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x y))) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 y x))))
(*.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 y x)) #s(literal 1/6 binary64)) (pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1/6 binary64)))
(cbrt.f64 (sqrt.f64 (*.f64 x y)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 (*.f64 y x) #s(literal 1/6 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 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64))) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (cbrt.f64 y)) (sqrt.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 y x)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x y))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x y)))))
(*.f64 (fabs.f64 (cbrt.f64 (cbrt.f64 (*.f64 x y)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 x y)))))
(pow.f64 (*.f64 y x) #s(literal 1/6 binary64))
(pow.f64 (*.f64 x y) #s(literal 1/6 binary64))
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 1/2 binary64))
(sqrt.f64 (cbrt.f64 (*.f64 x y)))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1/3 binary64))
(cbrt.f64 (sqrt.f64 (*.f64 x y)))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1/6 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 x y) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(cbrt.f64 (sqrt.f64 (*.f64 x y)))
(sqrt.f64 (cbrt.f64 (*.f64 y x)))
(sqrt.f64 (cbrt.f64 (*.f64 x y)))
(fabs.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)))
(sqrt.f64 (cbrt.f64 (*.f64 x y)))
(log.f64 (exp.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))))
(pow.f64 (*.f64 x y) #s(literal 1/6 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)))))
(pow.f64 (*.f64 x y) #s(literal 1/6 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 y x) #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 y x) #s(literal 1/6 binary64))))
(pow.f64 (*.f64 x y) #s(literal 1/6 binary64))
(exp.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))))
(pow.f64 (*.f64 x y) #s(literal 1/6 binary64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y x))) #s(literal 1/3 binary64)))
(cbrt.f64 (sqrt.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x y) #s(literal 1/6 binary64))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 y x)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x y))))
(pow.f64 (*.f64 y x) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 x y))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1 binary64))
(sqrt.f64 (*.f64 x y))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 y x))
(sqrt.f64 (*.f64 x y))
(fabs.f64 (sqrt.f64 (*.f64 y x)))
(fabs.f64 (sqrt.f64 (*.f64 x y)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 y x))))
(sqrt.f64 (*.f64 x y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 y x)))))
(sqrt.f64 (*.f64 x y))
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 y x))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x y))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 y x))))
(sqrt.f64 (*.f64 x y))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 y x))))
(sqrt.f64 (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y x))) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 x y))

eval1.0s (7.4%)

Compiler

Compiled 38866 to 24676 computations (36.5% saved)

prune249.0ms (1.8%)

Pruning

35 alts after pruning (30 fresh and 5 done)

PrunedKeptTotal
New87414888
Fresh21618
Picked235
Done022
Total87835913
Accuracy
98.1%
Counts
913 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.1%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 z y) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
31.4%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
29.3%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
42.4%
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) #s(literal 2 binary64)))
15.3%
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
36.0%
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (+.f64 y x)))) #s(literal 3 binary64)))
31.1%
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 y x))) #s(literal 3 binary64)))
20.2%
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))) (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))) #s(literal 2 binary64)))
31.3%
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 (*.f64 y x)))))
52.5%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))
1.7%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 x)))
31.3%
(*.f64 #s(literal 2 binary64) (*.f64 (cbrt.f64 (*.f64 y x)) (cbrt.f64 (sqrt.f64 (*.f64 y x)))))
42.6%
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 z (+.f64 y x)))) (*.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))))))))
47.4%
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal -3/2 binary64)) (*.f64 y x)) (sqrt.f64 (+.f64 y x)))))))
41.7%
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) y)))))
37.1%
(*.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))))))))
1.5%
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x z)) y)))
2.4%
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 y) (sqrt.f64 (/.f64 x z)))))
2.8%
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) (sqrt.f64 (/.f64 y z)))))
2.9%
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y (sqrt.f64 (*.f64 z (+.f64 y x)))))))
2.5%
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) y))))
2.3%
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (sqrt.f64 (neg.f64 (/.f64 (-.f64 (/.f64 x (*.f64 z y)) (/.f64 #s(literal 1 binary64) z)) y)))))))
2.9%
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 z (+.f64 y x)))) #s(literal 1/2 binary64)))))))
2.7%
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) z) #s(literal 3/2 binary64)))))))
36.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
55.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x (+.f64 y (*.f64 x (/.f64 y z)))))))
36.3%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
3.3%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
31.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
16.8%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z (*.f64 y (/.f64 z x))))))
32.2%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
38.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 z (+.f64 y x)))))
42.7%
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (-.f64 (log.f64 (-.f64 (neg.f64 z) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64))))
25.5%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
3.3%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 x z) #s(literal 3/2 binary64))))
Compiler

Compiled 1066 to 813 computations (23.7% saved)

localize356.0ms (2.6%)

Localize:

Found 14 expressions with local error:

NewAccuracyProgram
95.4%
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))
94.0%
(sqrt.f64 (/.f64 z y))
91.1%
(/.f64 z (pow.f64 y #s(literal 3 binary64)))
81.8%
(sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))
99.6%
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
83.4%
(pow.f64 (*.f64 y x) #s(literal 1/4 binary64))
100.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y (sqrt.f64 (*.f64 z (+.f64 y x))))))
99.8%
(/.f64 y (sqrt.f64 (*.f64 z (+.f64 y x))))
99.8%
(*.f64 x (/.f64 y (sqrt.f64 (*.f64 z (+.f64 y x)))))
86.2%
(sqrt.f64 (*.f64 z (+.f64 y x)))
82.9%
(sqrt.f64 (*.f64 z y))
99.9%
(*.f64 x (/.f64 y z))
94.8%
(*.f64 z (+.f64 x (+.f64 y (*.f64 x (/.f64 y z)))))
80.0%
(sqrt.f64 (*.f64 z (+.f64 x (+.f64 y (*.f64 x (/.f64 y z))))))
Results
183.0ms129×256valid
100.0ms127×256invalid
Compiler

Compiled 267 to 97 computations (63.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 236.0ms
ival-div: 92.0ms (39% of total)
ival-pow: 71.0ms (30.1% of total)
ival-mult: 42.0ms (17.8% of total)
ival-sqrt: 20.0ms (8.5% of total)
ival-add: 7.0ms (3% of total)
const: 4.0ms (1.7% of total)

series275.0ms (2%)

Counts
13 → 340
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 (*.f64 x (/.f64 y (sqrt.f64 (*.f64 z (+.f64 y x)))))>
#<alt (/.f64 y (sqrt.f64 (*.f64 z (+.f64 y x))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y (sqrt.f64 (*.f64 z (+.f64 y x))))))>
#<alt (pow.f64 (*.f64 y x) #s(literal 1/4 binary64))>
#<alt (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))>
#<alt (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))>
#<alt (/.f64 z (pow.f64 y #s(literal 3 binary64)))>
#<alt (sqrt.f64 (/.f64 z y))>
#<alt (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))>
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)))))))))>
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#<alt (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (sqrt.f64 (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 z y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 z y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 z y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 z y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 (/.f64 z y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 z y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 z y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 z y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))>
Calls

99 calls:

TimeVariablePointExpression
98.0ms
x
@-inf
(pow (* y x) 1/4)
69.0ms
x
@0
(pow (* y x) 1/4)
15.0ms
y
@-inf
(pow (* y x) 1/4)
9.0ms
y
@inf
(pow (* y x) 1/4)
8.0ms
x
@inf
(pow (* y x) 1/4)

rewrite121.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
297×associate-*r*
271×log1p-expm1-u
271×expm1-log1p-u
268×add-cube-cbrt
266×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038405
1629395
Stop Event
node limit
Counts
13 → 312
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))
(*.f64 x (/.f64 y (sqrt.f64 (*.f64 z (+.f64 y x)))))
(/.f64 y (sqrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y (sqrt.f64 (*.f64 z (+.f64 y x))))))
(pow.f64 (*.f64 y x) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))
(/.f64 z (pow.f64 y #s(literal 3 binary64)))
(sqrt.f64 (/.f64 z y))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))))
Outputs
(-.f64 (exp.f64 (log1p.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 (*.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 (+.f64 x y)) (*.f64 z (*.f64 x (/.f64 y z))))
(+.f64 (*.f64 z (+.f64 x y)) (*.f64 (*.f64 x (/.f64 y z)) z))
(+.f64 (*.f64 z x) (*.f64 z (fma.f64 x (/.f64 y z) y)))
(+.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)) (*.f64 z x))
(+.f64 (*.f64 x z) (*.f64 (fma.f64 x (/.f64 y z) y) z))
(+.f64 (*.f64 (fma.f64 x (/.f64 y z) y) z) (*.f64 x z))
(+.f64 (*.f64 (*.f64 z x) #s(literal 1 binary64)) (*.f64 (*.f64 z (fma.f64 x (/.f64 y z) y)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 x z) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 x (/.f64 y z) y) z) #s(literal 1 binary64)))
(-.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 (*.f64 (*.f64 z x) (*.f64 z x)) (-.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 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 x (/.f64 y z) y) z) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (-.f64 (*.f64 (*.f64 (fma.f64 x (/.f64 y z) y) z) (*.f64 (fma.f64 x (/.f64 y z) y) z)) (*.f64 (*.f64 x z) (*.f64 (fma.f64 x (/.f64 y z) y) z)))))
(/.f64 (-.f64 (*.f64 (*.f64 z x) (*.f64 z x)) (*.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 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 (*.f64 (fma.f64 x (/.f64 y z) y) z) (*.f64 (fma.f64 x (/.f64 y z) y) z))) (-.f64 (*.f64 x z) (*.f64 (fma.f64 x (/.f64 y z) y) z)))
(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 (fma.f64 x (/.f64 y z) y) z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 y z)))) #s(literal 1 binary64))
(/.f64 x (/.f64 z y))
(/.f64 (*.f64 x y) z)
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))
(/.f64 (neg.f64 (*.f64 x y)) (neg.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 (sqrt.f64 (*.f64 x (/.f64 y z))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 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)))))
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(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 z y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 z (pow.f64 y #s(literal 3/2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) y) (/.f64 (cbrt.f64 z) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (cbrt.f64 z) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) (pow.f64 y #s(literal 3 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 (cbrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))))
(*.f64 (/.f64 (sqrt.f64 z) y) (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) y))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3 binary64))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 (cbrt.f64 z) y)) (/.f64 (cbrt.f64 (sqrt.f64 z)) (sqrt.f64 y)))
(pow.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (cbrt.f64 z) y) #s(literal 3 binary64))
(pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) #s(literal -1 binary64))
(neg.f64 (/.f64 z (neg.f64 (pow.f64 y #s(literal 3 binary64)))))
(neg.f64 (/.f64 (neg.f64 z) (pow.f64 y #s(literal 3 binary64))))
(sqrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64))))
(log.f64 (pow.f64 (exp.f64 z) (pow.f64 y #s(literal -3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64)))))
(exp.f64 (log.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 z y)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 z y)))
(*.f64 (cbrt.f64 (/.f64 z y)) (cbrt.f64 (sqrt.f64 (/.f64 z y))))
(*.f64 (sqrt.f64 z) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 z) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(*.f64 (pow.f64 (/.f64 z y) #s(literal 1/4 binary64)) (pow.f64 (/.f64 z y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 z y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (/.f64 z y))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y z)))
(/.f64 (sqrt.f64 z) (sqrt.f64 y))
(/.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 y)))
(/.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 (sqrt.f64 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 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64)))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (pow.f64 (exp.f64 (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64)))) (*.f64 x #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64))) #s(literal 3/2 binary64)) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64))) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64)))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64)))))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64)))))) #s(literal 1 binary64)))

simplify424.0ms (3.1%)

Algorithm
egg-herbie
Rules
629×distribute-lft-in
622×distribute-rgt-in
507×*-commutative
204×associate-+r+
180×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0139034097
1387632662
Stop Event
node limit
Counts
652 → 664
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)))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (+.f64 x y) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(*.f64 #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))))))))
(sqrt.f64 (*.f64 y z))
(+.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)))))
(+.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)))))))
(+.f64 (sqrt.f64 (*.f64 y z)) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 z y)) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 5 binary64)))))))))))
(sqrt.f64 (*.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 z (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y z))))) y))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 z (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 3 binary64))))) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 z (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y z))))) y)))))
(*.f64 x (+.f64 (sqrt.f64 (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z))) x)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 z (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 3 binary64))))) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 z (*.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 5 binary64))))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 z (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y z))))) y))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 z (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))) (*.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))) x)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 z (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)) #s(literal 3 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 z (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))) (*.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))) x)) (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 z (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)) #s(literal 3 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 z (*.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)) #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 z (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))))) (*.f64 y (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))) x)) (sqrt.f64 #s(literal -1 binary64))))))))
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(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 x y))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 x y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x y)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x y)))
(*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (sqrt.f64 (*.f64 x y))))
(*.f64 (sqrt.f64 y) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 y))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 x y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64))) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/8 binary64))) (pow.f64 (*.f64 x y) #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 x y))))
(*.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (cbrt.f64 (sqrt.f64 (*.f64 x y)))) (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64))))
(sqrt.f64 (*.f64 x y))
(fabs.f64 (sqrt.f64 (*.f64 x y)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 x y)))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x y))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x y))))
(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)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))))
(*.f64 (/.f64 (cbrt.f64 z) y) (/.f64 (cbrt.f64 (sqrt.f64 z)) (sqrt.f64 y)))
(*.f64 (sqrt.f64 z) (pow.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 z) (sqrt.f64 (pow.f64 y #s(literal -3 binary64))))
(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (cbrt.f64 z) y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (cbrt.f64 z) y) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 (cbrt.f64 z) y) #s(literal 2 binary64))) (sqrt.f64 (/.f64 (cbrt.f64 z) y)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 z)))
(/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64)))
(/.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 (pow.f64 y #s(literal 3/2 binary64))))
(pow.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (cbrt.f64 (sqrt.f64 z)) (sqrt.f64 y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64)))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64))))) #s(literal 1 binary64))
(*.f64 z (pow.f64 y #s(literal -3 binary64)))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 y #s(literal -3 binary64))))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 z) y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) y))
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (pow.f64 y #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64))) #s(literal 1/4 binary64))) (pow.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64))) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 z y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 z (pow.f64 y #s(literal 3/2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) y) (/.f64 (cbrt.f64 z) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (cbrt.f64 z) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) (pow.f64 y #s(literal 3 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 (cbrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))))
(*.f64 (/.f64 (sqrt.f64 z) y) (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) y))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3 binary64))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 (cbrt.f64 z) y)) (/.f64 (cbrt.f64 (sqrt.f64 z)) (sqrt.f64 y)))
(pow.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (cbrt.f64 z) y) #s(literal 3 binary64))
(pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) #s(literal -1 binary64))
(neg.f64 (/.f64 z (neg.f64 (pow.f64 y #s(literal 3 binary64)))))
(neg.f64 (/.f64 (neg.f64 z) (pow.f64 y #s(literal 3 binary64))))
(sqrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64))))
(log.f64 (pow.f64 (exp.f64 z) (pow.f64 y #s(literal -3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64)))))
(exp.f64 (log.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 z y)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 z y)))
(*.f64 (cbrt.f64 (/.f64 z y)) (cbrt.f64 (sqrt.f64 (/.f64 z y))))
(*.f64 (sqrt.f64 z) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 z) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(*.f64 (pow.f64 (/.f64 z y) #s(literal 1/4 binary64)) (pow.f64 (/.f64 z y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 z y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (/.f64 z y))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y z)))
(/.f64 (sqrt.f64 z) (sqrt.f64 y))
(/.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 y)))
(/.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 (sqrt.f64 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 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64)))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (pow.f64 (exp.f64 (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64)))) (*.f64 x #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64))) #s(literal 3/2 binary64)) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64))) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64)))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64)))))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64)))))) #s(literal 1 binary64)))
Outputs
(sqrt.f64 (*.f64 x y))
(+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 z (+.f64 x y)))))
(+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (*.f64 z (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (+.f64 x y))))))
(+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) (+.f64 x y))) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 5 binary64))))) (*.f64 z (pow.f64 (+.f64 x y) #s(literal 3 binary64))))))))))
(+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (+.f64 x y)) (*.f64 z (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 5 binary64))))) (*.f64 z (pow.f64 (+.f64 x y) #s(literal 3 binary64)))))))))
(sqrt.f64 (*.f64 z (+.f64 x y)))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 x y))))))))
(*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))))))))
(*.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)))))))))
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(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))))
(pow.f64 (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 y #s(literal -3 binary64))))
(*.f64 z (pow.f64 y #s(literal -3 binary64)))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 z) y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) y))
(pow.f64 (/.f64 (cbrt.f64 z) y) #s(literal 3 binary64))
(/.f64 z (pow.f64 y #s(literal 3 binary64)))
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal 3 binary64)))))
(pow.f64 (/.f64 (cbrt.f64 z) y) #s(literal 3 binary64))
(/.f64 z (pow.f64 y #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (pow.f64 y #s(literal 2 binary64))))
(pow.f64 (/.f64 (cbrt.f64 z) y) #s(literal 3 binary64))
(/.f64 z (pow.f64 y #s(literal 3 binary64)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64))) #s(literal 1/4 binary64))) (pow.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64))) #s(literal 1/4 binary64)))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 z y))
(pow.f64 (/.f64 (cbrt.f64 z) y) #s(literal 3 binary64))
(/.f64 z (pow.f64 y #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 z (pow.f64 y #s(literal 3/2 binary64))))
(pow.f64 (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))) #s(literal 2 binary64))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) y) (/.f64 (cbrt.f64 z) (pow.f64 y #s(literal 2 binary64))))
(pow.f64 (/.f64 (cbrt.f64 z) y) #s(literal 3 binary64))
(/.f64 z (pow.f64 y #s(literal 3 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 (cbrt.f64 z) y))
(pow.f64 (/.f64 (cbrt.f64 z) y) #s(literal 3 binary64))
(/.f64 z (pow.f64 y #s(literal 3 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) (pow.f64 y #s(literal 3 binary64))))
(pow.f64 (/.f64 (cbrt.f64 z) y) #s(literal 3 binary64))
(/.f64 z (pow.f64 y #s(literal 3 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 (cbrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))))
(pow.f64 (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))) #s(literal 2 binary64))
(*.f64 (/.f64 (sqrt.f64 z) y) (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 2 binary64))))
(pow.f64 (/.f64 (cbrt.f64 z) y) #s(literal 3 binary64))
(/.f64 z (pow.f64 y #s(literal 3 binary64)))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) y))
(pow.f64 (/.f64 (cbrt.f64 z) y) #s(literal 3 binary64))
(/.f64 z (pow.f64 y #s(literal 3 binary64)))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3 binary64))))
(pow.f64 (/.f64 (cbrt.f64 z) y) #s(literal 3 binary64))
(/.f64 z (pow.f64 y #s(literal 3 binary64)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))))
(pow.f64 (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))) #s(literal 2 binary64))
(*.f64 (*.f64 (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))) (/.f64 (cbrt.f64 z) y)) (/.f64 (cbrt.f64 (sqrt.f64 z)) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))) (*.f64 (/.f64 (cbrt.f64 z) y) (/.f64 (cbrt.f64 (sqrt.f64 z)) (sqrt.f64 y))))
(pow.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64))) #s(literal 1 binary64))
(*.f64 z (pow.f64 y #s(literal -3 binary64)))
(pow.f64 (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (cbrt.f64 z) y) #s(literal 3 binary64))
(/.f64 z (pow.f64 y #s(literal 3 binary64)))
(pow.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64))))
(pow.f64 (pow.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 z (pow.f64 y #s(literal -3 binary64)))
(pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) z))
(neg.f64 (/.f64 z (neg.f64 (pow.f64 y #s(literal 3 binary64)))))
(pow.f64 (/.f64 (cbrt.f64 z) y) #s(literal 3 binary64))
(/.f64 z (pow.f64 y #s(literal 3 binary64)))
(neg.f64 (/.f64 (neg.f64 z) (pow.f64 y #s(literal 3 binary64))))
(pow.f64 (/.f64 (cbrt.f64 z) y) #s(literal 3 binary64))
(/.f64 z (pow.f64 y #s(literal 3 binary64)))
(sqrt.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64))))
(log.f64 (pow.f64 (exp.f64 z) (pow.f64 y #s(literal -3 binary64))))
(*.f64 z (pow.f64 y #s(literal -3 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64))))))
(*.f64 z (pow.f64 y #s(literal -3 binary64)))
(cbrt.f64 (pow.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64))) #s(literal 3 binary64)))
(*.f64 z (pow.f64 y #s(literal -3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64)))))
(*.f64 z (pow.f64 y #s(literal -3 binary64)))
(exp.f64 (log.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64)))))
(*.f64 z (pow.f64 y #s(literal -3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64)))) #s(literal 1 binary64)))
(*.f64 z (pow.f64 y #s(literal -3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 z y)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 z y))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 z y)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 z y))))
(sqrt.f64 (/.f64 z y))
(*.f64 (cbrt.f64 (/.f64 z y)) (cbrt.f64 (sqrt.f64 (/.f64 z y))))
(*.f64 (sqrt.f64 z) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 z) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 z) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(/.f64 (sqrt.f64 z) (sqrt.f64 y))
(*.f64 (pow.f64 (/.f64 z y) #s(literal 1/4 binary64)) (pow.f64 (/.f64 z y) #s(literal 1/4 binary64)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 z y))))
(sqrt.f64 (/.f64 z y))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 z y)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 z y))))
(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))))
(*.f64 (fabs.f64 (cbrt.f64 (/.f64 z y))) (sqrt.f64 (cbrt.f64 (/.f64 z y))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 z y)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (/.f64 z y))))
(*.f64 (fabs.f64 (cbrt.f64 (/.f64 z y))) (sqrt.f64 (cbrt.f64 (/.f64 z y))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y z)))
(/.f64 (sqrt.f64 z) (sqrt.f64 y))
(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(/.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 y)))
(/.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 (sqrt.f64 y)))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) (sqrt.f64 y)))
(pow.f64 (/.f64 z y) #s(literal 1/2 binary64))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 z y))))
(sqrt.f64 (/.f64 z y))
(pow.f64 (sqrt.f64 (/.f64 z y)) #s(literal 1 binary64))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 z y))))
(sqrt.f64 (/.f64 z y))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 z y))) #s(literal 3 binary64))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 z y))))
(sqrt.f64 (/.f64 z y))
(pow.f64 (pow.f64 (/.f64 z y) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (/.f64 z y) #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 (/.f64 z y) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 z y))))
(sqrt.f64 (/.f64 z y))
(fabs.f64 (sqrt.f64 (/.f64 z y)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 z y))))
(sqrt.f64 (/.f64 z y))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 z y))))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 z y))))
(sqrt.f64 (/.f64 z y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (/.f64 z y)))))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 z y))))
(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))))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 z y))))
(sqrt.f64 (/.f64 z y))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 z y))))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 z y))))
(sqrt.f64 (/.f64 z y))
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal 1/2 binary64)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 z y))))
(sqrt.f64 (/.f64 z y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 z y))) #s(literal 1 binary64)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 z y))))
(sqrt.f64 (/.f64 z y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (sqrt.f64 z)) (pow.f64 y #s(literal 3/2 binary64))))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (sqrt.f64 z)) (pow.f64 y #s(literal 3/2 binary64))))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64)))))) #s(literal 3 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (sqrt.f64 z)) (pow.f64 y #s(literal 3/2 binary64))))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (sqrt.f64 z)) (pow.f64 y #s(literal 3/2 binary64))))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64)))))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (sqrt.f64 z)) (pow.f64 y #s(literal 3/2 binary64))))
(sqrt.f64 (*.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(log.f64 (pow.f64 (exp.f64 (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64)))) (*.f64 x #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (sqrt.f64 z)) (pow.f64 y #s(literal 3/2 binary64))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64))))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (sqrt.f64 z)) (pow.f64 y #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64))) #s(literal 3/2 binary64)) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64))) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (pow.f64 y #s(literal -3 binary64))) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64)))))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (sqrt.f64 z)) (pow.f64 y #s(literal 3/2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (sqrt.f64 z)) (pow.f64 y #s(literal 3/2 binary64))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (sqrt.f64 z)) (pow.f64 y #s(literal 3/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal 3/2 binary64)))))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (sqrt.f64 z)) (pow.f64 y #s(literal 3/2 binary64))))

eval479.0ms (3.5%)

Compiler

Compiled 20204 to 12193 computations (39.7% saved)

prune270.0ms (2%)

Pruning

32 alts after pruning (24 fresh and 8 done)

PrunedKeptTotal
New73913752
Fresh141125
Picked145
Done145
Total75532787
Accuracy
98.3%
Counts
787 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.1%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 z y) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
31.4%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
29.3%
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
42.4%
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64)))
31.2%
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/4 binary64))) #s(literal 2 binary64)))
35.7%
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z y))) #s(literal 3 binary64)))
20.2%
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))) (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))) #s(literal 2 binary64)))
2.9%
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) y)))
1.5%
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x z))) y))
52.5%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))
63.9%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 x (fma.f64 x (/.f64 y z) y))) (sqrt.f64 z)))
52.1%
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 y)))
47.4%
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal -3/2 binary64)) (*.f64 y x)) (sqrt.f64 (+.f64 y x)))))))
37.0%
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y z))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))))
37.1%
(*.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))))))))
2.9%
(*.f64 #s(literal 2 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) y))))
2.8%
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 y z)) (neg.f64 x))))
2.4%
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x z)) (neg.f64 y))))
2.9%
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y (exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 1/2 binary64)))))))
2.3%
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (sqrt.f64 (neg.f64 (/.f64 (-.f64 (/.f64 x (*.f64 z y)) (/.f64 #s(literal 1 binary64) z)) y)))))))
2.7%
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) z) #s(literal 3/2 binary64)))))))
29.8%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
36.7%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 y x))))
55.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x (+.f64 y (*.f64 x (/.f64 y z)))))))
36.3%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
3.3%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
31.6%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
16.8%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z (*.f64 y (/.f64 z x))))))
32.2%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z y))))
38.0%
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 z (+.f64 y x)))))
42.7%
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (-.f64 (log.f64 (-.f64 (neg.f64 z) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64))))
25.5%
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
Compiler

Compiled 1494 to 937 computations (37.3% saved)

regimes333.0ms (2.4%)

Counts
71 → 4
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) (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) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x z)) y)))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x z))) y))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) (sqrt.f64 (/.f64 y z)))))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 y) (sqrt.f64 (/.f64 x z)))))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x z)) (neg.f64 y))))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 y z)) (neg.f64 x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z (*.f64 y (/.f64 z x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z x)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x (+.f64 y (*.f64 x (/.f64 y z)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) y))))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y (sqrt.f64 (*.f64 z (+.f64 y x)))))))
(*.f64 #s(literal 2 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) y))))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) y)))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 x y))))))))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (sqrt.f64 (neg.f64 (/.f64 (-.f64 (/.f64 x (*.f64 z y)) (/.f64 #s(literal 1 binary64) z)) y)))))))
(*.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 x z) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.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) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y (exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 1/2 binary64)))))))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) z) #s(literal 3/2 binary64)))))))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 z (+.f64 y x)))) #s(literal 1/2 binary64)))))))
(*.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 y))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/4 binary64))) #s(literal 2 binary64)))
(*.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 (log.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #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 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (-.f64 (log.f64 (-.f64 (neg.f64 z) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 z x) (*.f64 y (pow.f64 (cbrt.f64 (+.f64 z x)) #s(literal 3 binary64))))))
(*.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 (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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y z))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))))))))
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) y)))))
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal -3/2 binary64)) (*.f64 y x)) (sqrt.f64 (+.f64 y 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 z (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 z (+.f64 y x)))) (*.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) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 (*.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 3 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (*.f64 (+.f64 x z) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x z))))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x z) (*.f64 x z)) #s(literal 3/4 binary64))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (+.f64 x z))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 x (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 z x))))) (sqrt.f64 (/.f64 (+.f64 z x) y)))))
(*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (*.f64 y x) (*.f64 z (+.f64 y x))))))
(*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 z) (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 x (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 y x) z))))))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (pow.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))) (*.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))) #s(literal 2 binary64)))
Outputs
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (-.f64 (log.f64 (-.f64 (neg.f64 z) y)) (log.f64 (/.f64 #s(literal -1 binary64) 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) (exp.f64 (*.f64 (-.f64 (log.f64 (-.f64 (neg.f64 z) y)) (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)))
Calls

6 calls:

92.0ms
(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
57.0ms
x
54.0ms
y
43.0ms
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
43.0ms
(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
Results
AccuracySegmentsBranch
95.1%3x
96.9%4y
91.4%2z
84.0%3(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
84.0%3(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
84.0%3(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes306.0ms (2.2%)

Counts
49 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z x)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))
(*.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) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x z)) y)))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x z))) y))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) (sqrt.f64 (/.f64 y z)))))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 y) (sqrt.f64 (/.f64 x z)))))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x z)) (neg.f64 y))))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 y z)) (neg.f64 x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z (*.f64 y (/.f64 z x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z x)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x (+.f64 y (*.f64 x (/.f64 y z)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) y))))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y (sqrt.f64 (*.f64 z (+.f64 y x)))))))
(*.f64 #s(literal 2 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) y))))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) y)))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 x y))))))))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (sqrt.f64 (neg.f64 (/.f64 (-.f64 (/.f64 x (*.f64 z y)) (/.f64 #s(literal 1 binary64) z)) y)))))))
(*.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 x z) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.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) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y (exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 1/2 binary64)))))))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) z) #s(literal 3/2 binary64)))))))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 z (+.f64 y x)))) #s(literal 1/2 binary64)))))))
(*.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 y))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/4 binary64))) #s(literal 2 binary64)))
(*.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 (log.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #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 y (+.f64 x z) (*.f64 x z)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
Outputs
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 x (fma.f64 x (/.f64 y z) y))) (sqrt.f64 z)))
Calls

3 calls:

110.0ms
z
61.0ms
y
50.0ms
x
Results
AccuracySegmentsBranch
83.1%2z
82.0%2x
83.1%2y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes28.0ms (0.2%)

Counts
47 → 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) (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) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x z)) y)))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x z))) y))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) (sqrt.f64 (/.f64 y z)))))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 y) (sqrt.f64 (/.f64 x z)))))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x z)) (neg.f64 y))))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 y z)) (neg.f64 x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 z (*.f64 y (/.f64 z x))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 x z) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y (+.f64 z (*.f64 y (/.f64 z x)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (+.f64 x (+.f64 y (*.f64 x (/.f64 y z)))))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z))) y))))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y (sqrt.f64 (*.f64 z (+.f64 y x)))))))
(*.f64 #s(literal 2 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) y))))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 (*.f64 z (+.f64 x y))) y)))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 x y))))))))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (sqrt.f64 (neg.f64 (/.f64 (-.f64 (/.f64 x (*.f64 z y)) (/.f64 #s(literal 1 binary64) z)) y)))))))
(*.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 x z) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fabs.f64 (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 z)))
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.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) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z)))))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y (exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 1/2 binary64)))))))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) z) #s(literal 3/2 binary64)))))))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 y (exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 z (+.f64 y x)))) #s(literal 1/2 binary64)))))))
(*.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 y))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/4 binary64))) #s(literal 2 binary64)))
(*.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 (log.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 1/2 binary64))))
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

1 calls:

24.0ms
y
Results
AccuracySegmentsBranch
83.1%2y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes45.0ms (0.3%)

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

2 calls:

25.0ms
y
16.0ms
z
Results
AccuracySegmentsBranch
80.4%2z
82.7%2y
Compiler

Compiled 8 to 6 computations (25% saved)

regimes48.0ms (0.3%)

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

6 calls:

8.0ms
z
8.0ms
x
8.0ms
(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
7.0ms
(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
7.0ms
y
Results
AccuracySegmentsBranch
65.4%1z
65.4%1x
65.4%1(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))))
65.4%1(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))
65.4%1(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))
65.4%1y
Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes28.0ms (0.2%)

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

3 calls:

9.0ms
x
9.0ms
z
8.0ms
y
Results
AccuracySegmentsBranch
65.5%2y
62.5%2x
63.8%2z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0%)

Counts
6 → 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) (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 z y)))
Calls

1 calls:

4.0ms
y
Results
AccuracySegmentsBranch
65.4%2y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0%)

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

1 calls:

4.0ms
y
Results
AccuracySegmentsBranch
65.1%2y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes3.0ms (0%)

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

1 calls:

3.0ms
y
Results
AccuracySegmentsBranch
65.1%2y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes2.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

0.0ms
y
0.0ms
z
0.0ms
x
Results
AccuracySegmentsBranch
31.6%1x
31.6%1z
31.6%1y
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch124.0ms (0.9%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
51.0ms
-3.246866099963302e-273
1.4769897644174384e-261
30.0ms
-1.8891564013906168e-170
-5.224031082222952e-173
33.0ms
-1.974941866080563e+33
-5.640836834215988e+23
Results
40.0ms509×0invalid
38.0ms480×0valid
Compiler

Compiled 1082 to 822 computations (24% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-mult: 25.0ms (56.3% of total)
ival-add: 11.0ms (24.8% of total)
ival-sqrt: 7.0ms (15.8% of total)
const: 1.0ms (2.3% of total)
backward-pass: 0.0ms (0% of total)

bsearch177.0ms (1.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
49.0ms
-3.246866099963302e-273
1.4769897644174384e-261
Results
20.0ms215×0invalid
16.0ms208×0valid
Compiler

Compiled 413 to 289 computations (30% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 13.0ms (55.5% of total)
ival-sqrt: 5.0ms (21.3% of total)
ival-add: 4.0ms (17.1% of total)
const: 1.0ms (4.3% of total)
backward-pass: 0.0ms (0% of total)

bsearch49.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
45.0ms
-3.246866099963302e-273
1.4769897644174384e-261
Results
18.0ms208×0valid
15.0ms192×0invalid
Compiler

Compiled 348 to 263 computations (24.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 12.0ms (62.6% of total)
ival-add: 4.0ms (20.9% of total)
ival-sqrt: 3.0ms (15.6% of total)
const: 1.0ms (5.2% of total)
backward-pass: 0.0ms (0% of total)

bsearch88.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
81.0ms
-3.246866099963302e-273
1.4769897644174384e-261
Results
55.0ms208×0valid
14.0ms196×0invalid
Compiler

Compiled 322 to 250 computations (22.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-mult: 49.0ms (86.9% of total)
ival-add: 4.0ms (7.1% of total)
ival-sqrt: 3.0ms (5.3% of total)
const: 1.0ms (1.8% of total)
backward-pass: 0.0ms (0% of total)

bsearch30.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
27.0ms
1.4769897644174384e-261
2.0471066676474623e-259
Results
8.0ms114×0invalid
9.0ms112×0valid
Compiler

Compiled 191 to 142 computations (25.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 6.0ms (60.5% of total)
ival-add: 2.0ms (20.2% of total)
ival-sqrt: 2.0ms (20.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch30.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
28.0ms
1.4769897644174384e-261
2.0471066676474623e-259
Results
13.0ms112×0valid
8.0ms109×0invalid
Compiler

Compiled 177 to 135 computations (23.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 6.0ms (61.6% of total)
ival-add: 2.0ms (20.5% of total)
ival-sqrt: 2.0ms (20.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch32.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
29.0ms
1.4769897644174384e-261
2.0471066676474623e-259
Results
13.0ms134×0invalid
9.0ms112×0valid
Compiler

Compiled 163 to 128 computations (21.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 6.0ms (55.4% of total)
ival-add: 2.0ms (18.5% of total)
ival-sqrt: 2.0ms (18.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch29.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
27.0ms
1.4769897644174384e-261
2.0471066676474623e-259
Results
12.0ms114×0invalid
9.0ms112×0valid
Compiler

Compiled 163 to 128 computations (21.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 9.0ms (67.5% of total)
ival-add: 2.0ms (15% of total)
ival-sqrt: 2.0ms (15% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify17.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
091839
1122839
2131839
3139839
4143839
5144839
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 y #s(literal -2299999999999999907725312 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (-.f64 (log.f64 (-.f64 (neg.f64 z) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64)))) (if (<=.f64 y #s(literal -7379435813414805/139234637988958594318883410818490335842688858253435056475195084164406590796163250320615014993816265862385324388842602762167013693889631286567769205313788274787963704661873320009853338386432 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) (if (<=.f64 y #s(literal 8539042390596001/44942328371557897693232629769725618340449424473557664318357520289433168951375240783177119330601884005280028469967848339414697442203604155623211857659868531094441973356216371319075554900311523529863270738021251442209537670585615720368478277635206809290837627671146574559986811484619929076208839082406056034304 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (-.f64 (log.f64 (-.f64 (neg.f64 z) y)) (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))))))
(if (<=.f64 y #s(literal 3119885634089587/70906491683854249133971333415503528601229677279443476631916611638829262598057001759775558209235971002092300595769547131083230268742795262708226708464736682213924924871800416657575912944521796077262840069882938251784694133132833485038618990914757637167551284096438594475925700608 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z)))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 x (fma.f64 x (/.f64 y z) y))) (sqrt.f64 z))))
(if (<=.f64 y #s(literal 6204318022337247/8863311460481781141746416676937941075153709659930434578989576454853657824757125219971944776154496375261537574471193391385403783592849407838528338558092085276740615608975052082196989118065224509657855008735367281473086766641604185629827373864344704645943910512054824309490712576 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 6425900808849291/4431655730240890570873208338468970537576854829965217289494788227426828912378562609985972388077248187630768787235596695692701891796424703919264169279046042638370307804487526041098494559032612254828927504367683640736543383320802092814913686932172352322971955256027412154745356288 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z)))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(if (<=.f64 y #s(literal 830935449420167/553956966280111321359151042308621317197106853745652161186848528428353614047320326248246548509656023453846098404449586961587736474553087989908021159880755329796288475560940755137311819879076531853615938045960455092067922915100261601864210866521544040371494407003426519343169536 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 432778879906337/2163894399531684849059183759018052020301198647443953754636127064173256304872345024407213080115843841616586321892381199068702095603722999960578207655784200507016751857659924824755124296402642702553187257992033027703390323887110396882282073697349781407701150027357134841184256 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z)))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y))))
(if (<=.f64 y #s(literal 830935449420167/553956966280111321359151042308621317197106853745652161186848528428353614047320326248246548509656023453846098404449586961587736474553087989908021159880755329796288475560940755137311819879076531853615938045960455092067922915100261601864210866521544040371494407003426519343169536 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y))))
(if (<=.f64 y #s(literal 830935449420167/553956966280111321359151042308621317197106853745652161186848528428353614047320326248246548509656023453846098404449586961587736474553087989908021159880755329796288475560940755137311819879076531853615938045960455092067922915100261601864210866521544040371494407003426519343169536 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 -2299999999999999907725312 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (-.f64 (log.f64 (-.f64 (neg.f64 z) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64)))) (if (<=.f64 y #s(literal -7379435813414805/139234637988958594318883410818490335842688858253435056475195084164406590796163250320615014993816265862385324388842602762167013693889631286567769205313788274787963704661873320009853338386432 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 x z))))) (if (<=.f64 y #s(literal 8539042390596001/44942328371557897693232629769725618340449424473557664318357520289433168951375240783177119330601884005280028469967848339414697442203604155623211857659868531094441973356216371319075554900311523529863270738021251442209537670585615720368478277635206809290837627671146574559986811484619929076208839082406056034304 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (-.f64 (log.f64 (-.f64 (neg.f64 z) y)) (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))))))
(if (<=.f64 y #s(literal -2299999999999999907725312 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (-.f64 (log.f64 (-.f64 (neg.f64 z) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64)))) (if (<=.f64 y #s(literal -7379435813414805/139234637988958594318883410818490335842688858253435056475195084164406590796163250320615014993816265862385324388842602762167013693889631286567769205313788274787963704661873320009853338386432 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x z (*.f64 y (+.f64 z x))))) (if (<=.f64 y #s(literal 8539042390596001/44942328371557897693232629769725618340449424473557664318357520289433168951375240783177119330601884005280028469967848339414697442203604155623211857659868531094441973356216371319075554900311523529863270738021251442209537670585615720368478277635206809290837627671146574559986811484619929076208839082406056034304 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (-.f64 (log.f64 (-.f64 (neg.f64 z) y)) (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))))))
(if (<=.f64 y #s(literal 3119885634089587/70906491683854249133971333415503528601229677279443476631916611638829262598057001759775558209235971002092300595769547131083230268742795262708226708464736682213924924871800416657575912944521796077262840069882938251784694133132833485038618990914757637167551284096438594475925700608 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z)))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (+.f64 x (fma.f64 x (/.f64 y z) y))) (sqrt.f64 z))))
(if (<=.f64 y #s(literal 6204318022337247/8863311460481781141746416676937941075153709659930434578989576454853657824757125219971944776154496375261537574471193391385403783592849407838528338558092085276740615608975052082196989118065224509657855008735367281473086766641604185629827373864344704645943910512054824309490712576 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 6204318022337247/8863311460481781141746416676937941075153709659930434578989576454853657824757125219971944776154496375261537574471193391385403783592849407838528338558092085276740615608975052082196989118065224509657855008735367281473086766641604185629827373864344704645943910512054824309490712576 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z)))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 (+.f64 y x)))))
(if (<=.f64 y #s(literal 6425900808849291/4431655730240890570873208338468970537576854829965217289494788227426828912378562609985972388077248187630768787235596695692701891796424703919264169279046042638370307804487526041098494559032612254828927504367683640736543383320802092814913686932172352322971955256027412154745356288 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z)))) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) (sqrt.f64 y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (*.f64 y x) (*.f64 z (+.f64 y x)))))
(if (<=.f64 y #s(literal 830935449420167/553956966280111321359151042308621317197106853745652161186848528428353614047320326248246548509656023453846098404449586961587736474553087989908021159880755329796288475560940755137311819879076531853615938045960455092067922915100261601864210866521544040371494407003426519343169536 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 432778879906337/2163894399531684849059183759018052020301198647443953754636127064173256304872345024407213080115843841616586321892381199068702095603722999960578207655784200507016751857659924824755124296402642702553187257992033027703390323887110396882282073697349781407701150027357134841184256 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 x (+.f64 y z)))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y))))
(if (<=.f64 y #s(literal 432778879906337/2163894399531684849059183759018052020301198647443953754636127064173256304872345024407213080115843841616586321892381199068702095603722999960578207655784200507016751857659924824755124296402642702553187257992033027703390323887110396882282073697349781407701150027357134841184256 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 830935449420167/553956966280111321359151042308621317197106853745652161186848528428353614047320326248246548509656023453846098404449586961587736474553087989908021159880755329796288475560940755137311819879076531853615938045960455092067922915100261601864210866521544040371494407003426519343169536 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y))))
(if (<=.f64 y #s(literal 830935449420167/553956966280111321359151042308621317197106853745652161186848528428353614047320326248246548509656023453846098404449586961587736474553087989908021159880755329796288475560940755137311819879076531853615938045960455092067922915100261601864210866521544040371494407003426519343169536 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y x))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y z))))
(if (<=.f64 y #s(literal 830935449420167/553956966280111321359151042308621317197106853745652161186848528428353614047320326248246548509656023453846098404449586961587736474553087989908021159880755329796288475560940755137311819879076531853615938045960455092067922915100261601864210866521544040371494407003426519343169536 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)))

soundness1.3s (9.4%)

Rules
873×fma-define
843×fma-neg
842×log1p-expm1-u
842×expm1-log1p-u
818×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039413
1594405
079124548
1221323785
2761223497
020138
1284138
24186138
057590
1156534
2328530
3624530
41291530
51969530
62919530
73283530
83342530
93348530
103348530
0196456249
1617453984
038405
1629395
Stop Event
fuel
node limit
node limit
saturated
node limit
node limit
node limit
Compiler

Compiled 1268 to 637 computations (49.8% saved)

preprocess224.0ms (1.6%)

Compiler

Compiled 866 to 522 computations (39.7% saved)

end0.0ms (0%)

Profiling

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