Data.Array.Repa.Algorithms.ColorRamp:rampColorHotToCold from repa-algorithms-3.4.0.1, B

Time bar (total: 3.5s)

analyze59.0ms (1.7%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
50%49.9%49.9%0.1%0%0%0%4
50%49.9%49.9%0.1%0%0%0%5
50%49.9%49.9%0.1%0%0%0%6
75%74.9%25%0.1%0%0%0%7
75%74.9%25%0.1%0%0%0%8
75%74.9%25%0.1%0%0%0%9
87.5%87.4%12.5%0.1%0%0%0%10
87.5%87.4%12.5%0.1%0%0%0%11
87.5%87.4%12.5%0.1%0%0%0%12
Compiler

Compiled 15 to 11 computations (26.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
Operation ival-mult, time spent: 12.0ms, 49.0% of total-time
Operation ival-sub, time spent: 9.0ms, 37.0% of total-time
Operation ival-div, time spent: 3.0ms, 12.0% of total-time
Operation const, time spent: 1.0ms, 4.0% of total-time

sample1.3s (36.3%)

Results
909.0ms6537×256valid
296.0ms1718×256infinite
0.0ms256valid
Precisions
Click to see histograms. Total time spent on operations: 438.0ms
Operation ival-mult, time spent: 185.0ms, 42.0% of total-time
Operation ival-div, time spent: 127.0ms, 29.0% of total-time
Operation ival-sub, time spent: 107.0ms, 24.0% of total-time
Operation const, time spent: 18.0ms, 4.0% of total-time
Bogosity

preprocess350.0ms (9.8%)

Algorithm
egg-herbie
Rules
1032×fma-define
984×times-frac
806×div-sub
732×sub-neg
558×distribute-rgt-in
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
30-0-(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
00-0-x
00-0-(*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64))))
00-0-#s(literal 1/2 binary64)
00-0-(*.f64 z #s(literal 1/2 binary64))
00-0-(-.f64 x y)
00-0-(-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))
00-0-y
00-0-z
00-0-#s(literal 4 binary64)
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
049513
1142481
2438437
31735374
46434374
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 (neg.f64 x) y) (*.f64 z #s(literal 1/2 binary64)))) z)
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x (neg.f64 y)) (*.f64 z #s(literal 1/2 binary64)))) z)
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 (neg.f64 z) #s(literal 1/2 binary64)))) (neg.f64 z))
(neg.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 (neg.f64 x) y) (*.f64 z #s(literal 1/2 binary64)))) z))
(neg.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x (neg.f64 y)) (*.f64 z #s(literal 1/2 binary64)))) z))
(neg.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 (neg.f64 z) #s(literal 1/2 binary64)))) (neg.f64 z)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 y x) (*.f64 z #s(literal 1/2 binary64)))) z)
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 z y) (*.f64 x #s(literal 1/2 binary64)))) x)
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x z) (*.f64 y #s(literal 1/2 binary64)))) y)
Outputs
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x (+.f64 y (*.f64 z #s(literal 1/2 binary64))))) z)
(*.f64 (-.f64 x (+.f64 y (*.f64 z #s(literal 1/2 binary64)))) (/.f64 #s(literal 4 binary64) z))
(*.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) (/.f64 #s(literal 4 binary64) z))
(*.f64 #s(literal -4 binary64) (-.f64 (/.f64 (-.f64 y x) z) #s(literal -1/2 binary64)))
(*.f64 #s(literal -4 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y x) z)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x (+.f64 y (*.f64 z #s(literal 1/2 binary64))))) z)
(*.f64 (-.f64 x (+.f64 y (*.f64 z #s(literal 1/2 binary64)))) (/.f64 #s(literal 4 binary64) z))
(*.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) (/.f64 #s(literal 4 binary64) z))
(*.f64 #s(literal -4 binary64) (-.f64 (/.f64 (-.f64 y x) z) #s(literal -1/2 binary64)))
(*.f64 #s(literal -4 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y x) z)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 (neg.f64 x) y) (*.f64 z #s(literal 1/2 binary64)))) z)
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (neg.f64 x) (+.f64 y (*.f64 z #s(literal 1/2 binary64))))) z)
(*.f64 (+.f64 (neg.f64 (+.f64 x y)) (*.f64 z #s(literal -1/2 binary64))) (/.f64 #s(literal 4 binary64) z))
(*.f64 (-.f64 (neg.f64 x) (fma.f64 z #s(literal 1/2 binary64) y)) (/.f64 #s(literal 4 binary64) z))
(*.f64 #s(literal 4 binary64) (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x y) z)))
(+.f64 (*.f64 #s(literal -4 binary64) (/.f64 (+.f64 x y) z)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x (neg.f64 y)) (*.f64 z #s(literal 1/2 binary64)))) z)
(*.f64 (+.f64 x (-.f64 y (*.f64 z #s(literal 1/2 binary64)))) (/.f64 #s(literal 4 binary64) z))
(*.f64 (+.f64 x (fma.f64 z #s(literal -1/2 binary64) y)) (/.f64 #s(literal 4 binary64) z))
(+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (+.f64 x y) z)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 (neg.f64 z) #s(literal 1/2 binary64)))) (neg.f64 z))
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) (neg.f64 z))
(*.f64 #s(literal -4 binary64) (/.f64 (+.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64))) z))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (fma.f64 z #s(literal -1/2 binary64) y) x) z))
(+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 y x) z)) #s(literal -2 binary64))
(neg.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 (neg.f64 x) y) (*.f64 z #s(literal 1/2 binary64)))) z))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (neg.f64 x) (+.f64 y (*.f64 z #s(literal 1/2 binary64))))) (neg.f64 z))
(*.f64 #s(literal -4 binary64) (/.f64 (+.f64 (neg.f64 (+.f64 x y)) (*.f64 z #s(literal -1/2 binary64))) z))
(*.f64 (-.f64 (neg.f64 x) (fma.f64 z #s(literal 1/2 binary64) y)) (/.f64 #s(literal -4 binary64) z))
(*.f64 #s(literal 4 binary64) (+.f64 (/.f64 (+.f64 x y) z) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (+.f64 x y) z)) #s(literal 2 binary64))
(neg.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x (neg.f64 y)) (*.f64 z #s(literal 1/2 binary64)))) z))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x (neg.f64 y)) (*.f64 z #s(literal 1/2 binary64)))) (neg.f64 z))
(*.f64 #s(literal -4 binary64) (/.f64 (+.f64 x (-.f64 y (*.f64 z #s(literal 1/2 binary64)))) z))
(*.f64 (+.f64 x (fma.f64 z #s(literal -1/2 binary64) y)) (/.f64 #s(literal -4 binary64) z))
(+.f64 (*.f64 #s(literal -4 binary64) (/.f64 (+.f64 x y) z)) #s(literal 2 binary64))
(neg.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 (neg.f64 z) #s(literal 1/2 binary64)))) (neg.f64 z)))
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) (neg.f64 (neg.f64 z)))
(*.f64 (+.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64))) (/.f64 #s(literal 4 binary64) z))
(*.f64 (-.f64 x (fma.f64 z #s(literal -1/2 binary64) y)) (/.f64 #s(literal 4 binary64) z))
(+.f64 (*.f64 (/.f64 (-.f64 y x) z) #s(literal -4 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 y x) (*.f64 z #s(literal 1/2 binary64)))) z)
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) (neg.f64 z))
(*.f64 #s(literal -4 binary64) (/.f64 (+.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64))) z))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (fma.f64 z #s(literal -1/2 binary64) y) x) z))
(+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 y x) z)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 z y) (*.f64 x #s(literal 1/2 binary64)))) x)
(*.f64 (+.f64 (-.f64 z y) (*.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 4 binary64) x))
(*.f64 (-.f64 z (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 #s(literal 4 binary64) x))
(*.f64 #s(literal 4 binary64) (+.f64 (/.f64 (-.f64 z y) x) #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x z) (*.f64 y #s(literal 1/2 binary64)))) y)
(*.f64 (+.f64 (-.f64 x z) (*.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 4 binary64) y))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x (fma.f64 y #s(literal 1/2 binary64) z)) y))
(+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y)) #s(literal -2 binary64))
Compiler

Compiled 98 to 56 computations (42.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 136.0ms
Operation ival-mult, time spent: 114.0ms, 84.0% of total-time
Operation ival-sub, time spent: 12.0ms, 9.0% of total-time
Operation ival-div, time spent: 6.0ms, 4.0% of total-time
Operation const, time spent: 3.0ms, 2.0% of total-time

eval1.0ms (0%)

Compiler

Compiled 53 to 33 computations (37.7% saved)

prune38.0ms (1.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 #s(literal -4 binary64) (-.f64 (/.f64 (-.f64 y x) z) #s(literal -1/2 binary64)))
Compiler

Compiled 12 to 9 computations (25% saved)

localize43.0ms (1.2%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 (-.f64 y x) z)
Compiler

Compiled 33 to 14 computations (57.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
Operation ival-sub, time spent: 5.0ms, 50.0% of total-time
Operation ival-div, time spent: 2.0ms, 20.0% of total-time
Operation ival-mult, time spent: 2.0ms, 20.0% of total-time
Operation const, time spent: 1.0ms, 10.0% of total-time

series8.0ms (0.2%)

Counts
1 → 24
Calls
Call 1
Inputs
#<alt (/.f64 (-.f64 y x) z)>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 y z))>
#<alt (/.f64 y z)>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z)))>
#<alt (/.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (/.f64 y z)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (*.f64 x (-.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (-.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (-.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z))))>
Calls

9 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(/ (- y x) z)
1.0ms
y
@-inf
(/ (- y x) z)
1.0ms
y
@inf
(/ (- y x) z)
0.0ms
y
@0
(/ (- y x) z)
0.0ms
x
@inf
(/ (- y x) z)

rewrite513.0ms (14.4%)

Algorithm
batch-egg-rewrite
Rules
1186×prod-diff
737×log1p-expm1-u
737×expm1-log1p-u
696×log-prod
360×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01122
112622
2187622
Stop Event
node limit
Counts
1 → 231
Calls
Call 1
Inputs
(/.f64 (-.f64 y x) z)
Outputs
(+.f64 (/.f64 (-.f64 y x) z) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x z))) (sqrt.f64 (/.f64 x z)) (/.f64 x z)))
(+.f64 (/.f64 (-.f64 y x) z) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 z))) (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (/.f64 x z)))
(+.f64 (/.f64 y z) (neg.f64 (/.f64 x z)))
(+.f64 #s(literal 0 binary64) (/.f64 (-.f64 y x) z))
(+.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) z) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) x (*.f64 (/.f64 #s(literal 1 binary64) z) x)))
(+.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) z) (neg.f64 (*.f64 (/.f64 x z) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (/.f64 x z)) #s(literal 1 binary64) (*.f64 (/.f64 x z) #s(literal 1 binary64))))
(+.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) z) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) z)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (/.f64 (cbrt.f64 x) z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(+.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) z) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) z) (sqrt.f64 x)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) z)) (sqrt.f64 x) (*.f64 (/.f64 (sqrt.f64 x) z) (sqrt.f64 x))))
(+.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) z) (neg.f64 (*.f64 (cbrt.f64 (/.f64 x z)) (*.f64 (cbrt.f64 (/.f64 x z)) (cbrt.f64 (/.f64 x z)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x z))) (*.f64 (cbrt.f64 (/.f64 x z)) (cbrt.f64 (/.f64 x z))) (*.f64 (cbrt.f64 (/.f64 x z)) (*.f64 (cbrt.f64 (/.f64 x z)) (cbrt.f64 (/.f64 x z))))))
(+.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) z) (neg.f64 (*.f64 (/.f64 x (cbrt.f64 z)) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (/.f64 x (cbrt.f64 z))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (*.f64 (/.f64 x (cbrt.f64 z)) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))))
(+.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) z) (neg.f64 (*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))))
(+.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) z) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) z) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) z)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (cbrt.f64 x) z) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(+.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) z) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 z)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 z))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 z)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))))
(+.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) z) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 z)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 z))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 z))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 z)) (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 z)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 z)))))
(+.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) z) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) z) (/.f64 (sqrt.f64 x) #s(literal 1 binary64))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) z)) (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (/.f64 (sqrt.f64 x) z) (/.f64 (sqrt.f64 x) #s(literal 1 binary64)))))
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(+.f64 (fma.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 z)) (/.f64 (sqrt.f64 y) (sqrt.f64 z)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 z)) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 z))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 z)) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 y x) z))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 y x) z))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 y x) z)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 y x) z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 y x) z)))))
(-.f64 (/.f64 y z) (/.f64 x z))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 y x) z))) #s(literal 1 binary64))
(*.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (-.f64 y x) z) #s(literal 1 binary64))
(*.f64 (/.f64 (-.f64 y x) z) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) z))
(*.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) (cbrt.f64 (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -2 binary64))) (cbrt.f64 (/.f64 (-.f64 y x) z)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (-.f64 y x)) z))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (-.f64 y x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 y x) z)) (sqrt.f64 (/.f64 (-.f64 y x) z)))
(*.f64 (sqrt.f64 (-.f64 y x)) (/.f64 (sqrt.f64 (-.f64 y x)) z))
(*.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (neg.f64 (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 y x))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (-.f64 y x) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (-.f64 y x) (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (-.f64 y x)) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (-.f64 y x) z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (-.f64 y x)) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (-.f64 y x)) z))
(*.f64 (/.f64 (sqrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (-.f64 y x)) (cbrt.f64 z)))
(pow.f64 (/.f64 (-.f64 y x) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 y x) z)) #s(literal 2 binary64))
(pow.f64 (/.f64 z (-.f64 y x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 z (-.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 (-.f64 y x) (neg.f64 z)))
(neg.f64 (/.f64 (neg.f64 (-.f64 y x)) z))
(sqrt.f64 (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 (-.f64 y x) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (-.f64 y x) z))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 y x) z)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 y x) z)))
(exp.f64 (log.f64 (/.f64 (-.f64 y x) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 y x) z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 y x) z))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 (-.f64 y x) z))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 y x) z))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 z (-.f64 y x))) #s(literal -1 binary64)))
(fma.f64 y (/.f64 #s(literal 1 binary64) z) (neg.f64 (/.f64 x z)))
(fma.f64 #s(literal 1 binary64) (/.f64 y z) (neg.f64 (/.f64 x z)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) z) (neg.f64 (/.f64 x z)))
(fma.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) z) (neg.f64 (/.f64 x z)))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 y z)) (cbrt.f64 (/.f64 y z))) (cbrt.f64 (/.f64 y z)) (neg.f64 (/.f64 x z)))
(fma.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 y z)) (neg.f64 (/.f64 x z)))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z)) (neg.f64 (/.f64 x z)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)) (neg.f64 (/.f64 x z)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) z) (neg.f64 (/.f64 x z)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (cbrt.f64 y) (cbrt.f64 z)) (neg.f64 (/.f64 x z)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 y) (sqrt.f64 z)) (neg.f64 (/.f64 x z)))
(fma.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) z) (neg.f64 (/.f64 x z)))
(fma.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 z)) (neg.f64 (/.f64 x z)))
(fma.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 z)) (/.f64 (sqrt.f64 y) (sqrt.f64 z)) (neg.f64 (/.f64 x z)))

simplify323.0ms (9.1%)

Algorithm
egg-herbie
Rules
1084×associate-+r+
870×associate-+l+
566×associate-+r-
564×times-frac
548×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
058719625
1136415423
237959262
Stop Event
node limit
Counts
255 → 272
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 y z))
(/.f64 y z)
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z)))
(/.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z))))
(/.f64 y z)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 y z))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 y z))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(*.f64 x (-.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z))))
(+.f64 (/.f64 (-.f64 y x) z) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x z))) (sqrt.f64 (/.f64 x z)) (/.f64 x z)))
(+.f64 (/.f64 (-.f64 y x) z) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 z))) (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (/.f64 x z)))
(+.f64 (/.f64 y z) (neg.f64 (/.f64 x z)))
(+.f64 #s(literal 0 binary64) (/.f64 (-.f64 y x) z))
(+.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) z) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) x (*.f64 (/.f64 #s(literal 1 binary64) z) x)))
(+.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) z) (neg.f64 (*.f64 (/.f64 x z) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (/.f64 x z)) #s(literal 1 binary64) (*.f64 (/.f64 x z) #s(literal 1 binary64))))
(+.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) z) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) z)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (/.f64 (cbrt.f64 x) z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(+.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) z) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) z) (sqrt.f64 x)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) z)) (sqrt.f64 x) (*.f64 (/.f64 (sqrt.f64 x) z) (sqrt.f64 x))))
(+.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) z) (neg.f64 (*.f64 (cbrt.f64 (/.f64 x z)) (*.f64 (cbrt.f64 (/.f64 x z)) (cbrt.f64 (/.f64 x z)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x z))) (*.f64 (cbrt.f64 (/.f64 x z)) (cbrt.f64 (/.f64 x z))) (*.f64 (cbrt.f64 (/.f64 x z)) (*.f64 (cbrt.f64 (/.f64 x z)) (cbrt.f64 (/.f64 x z))))))
(+.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) z) (neg.f64 (*.f64 (/.f64 x (cbrt.f64 z)) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (/.f64 x (cbrt.f64 z))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (*.f64 (/.f64 x (cbrt.f64 z)) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))))
(+.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) z) (neg.f64 (*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))))
(+.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) z) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) z) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) z)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (cbrt.f64 x) z) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(+.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) z) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 z)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 z))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 z)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))))
(+.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) z) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 z)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 z))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 z))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 z)) (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 z)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 z)))))
(+.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) z) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) z) (/.f64 (sqrt.f64 x) #s(literal 1 binary64))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) z)) (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (/.f64 (sqrt.f64 x) z) (/.f64 (sqrt.f64 x) #s(literal 1 binary64)))))
(+.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) z) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 z)) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 z))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 z)) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 y z) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) x (*.f64 (/.f64 #s(literal 1 binary64) z) x)))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 y z) (neg.f64 (*.f64 (/.f64 x z) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (/.f64 x z)) #s(literal 1 binary64) (*.f64 (/.f64 x z) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 y z) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) z)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (/.f64 (cbrt.f64 x) z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 y z) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) z) (sqrt.f64 x)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) z)) (sqrt.f64 x) (*.f64 (/.f64 (sqrt.f64 x) z) (sqrt.f64 x))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 y z) (neg.f64 (*.f64 (cbrt.f64 (/.f64 x z)) (*.f64 (cbrt.f64 (/.f64 x z)) (cbrt.f64 (/.f64 x z)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x z))) (*.f64 (cbrt.f64 (/.f64 x z)) (cbrt.f64 (/.f64 x z))) (*.f64 (cbrt.f64 (/.f64 x z)) (*.f64 (cbrt.f64 (/.f64 x z)) (cbrt.f64 (/.f64 x z))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 y z) (neg.f64 (*.f64 (/.f64 x (cbrt.f64 z)) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (/.f64 x (cbrt.f64 z))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (*.f64 (/.f64 x (cbrt.f64 z)) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 y z) (neg.f64 (*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))))
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(fma.f64 (*.f64 (cbrt.f64 (/.f64 y z)) (cbrt.f64 (/.f64 y z))) (cbrt.f64 (/.f64 y z)) (neg.f64 (/.f64 x z)))
(fma.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 y z)) (neg.f64 (/.f64 x z)))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z)) (neg.f64 (/.f64 x z)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)) (neg.f64 (/.f64 x z)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) z) (neg.f64 (/.f64 x z)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (cbrt.f64 y) (cbrt.f64 z)) (neg.f64 (/.f64 x z)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 y) (sqrt.f64 z)) (neg.f64 (/.f64 x z)))
(fma.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) z) (neg.f64 (/.f64 x z)))
(fma.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 z)) (neg.f64 (/.f64 x z)))
(fma.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 z)) (/.f64 (sqrt.f64 y) (sqrt.f64 z)) (neg.f64 (/.f64 x z)))
Outputs
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 (neg.f64 x) z)
(/.f64 x (neg.f64 z))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(/.f64 y z)
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 x y) z) (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 x y) z)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 x y) z) (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 x y) z)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 x y) z) (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 x y) z)))
(/.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 x y) z) (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 x y) z)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 x y) z) (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 x y) z)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 x y) z) (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 x y) z)))
(/.f64 y z)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 y z))
(/.f64 (-.f64 y x) z)
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 (neg.f64 x) z)
(/.f64 x (neg.f64 z))
(*.f64 x (-.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (+.f64 (/.f64 (/.f64 y x) z) (/.f64 #s(literal -1 binary64) z)))
(*.f64 x (+.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal -1 binary64) z)))
(*.f64 x (-.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (+.f64 (/.f64 (/.f64 y x) z) (/.f64 #s(literal -1 binary64) z)))
(*.f64 x (+.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal -1 binary64) z)))
(*.f64 x (-.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (+.f64 (/.f64 (/.f64 y x) z) (/.f64 #s(literal -1 binary64) z)))
(*.f64 x (+.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal -1 binary64) z)))
(*.f64 #s(literal -1 binary64) (/.f64 x z))
(/.f64 (neg.f64 x) z)
(/.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z))))
(*.f64 x (+.f64 (/.f64 (/.f64 y x) z) (/.f64 #s(literal -1 binary64) z)))
(*.f64 x (+.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal -1 binary64) z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z))))
(*.f64 x (+.f64 (/.f64 (/.f64 y x) z) (/.f64 #s(literal -1 binary64) z)))
(*.f64 x (+.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal -1 binary64) z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) z))))
(*.f64 x (+.f64 (/.f64 (/.f64 y x) z) (/.f64 #s(literal -1 binary64) z)))
(*.f64 x (+.f64 (/.f64 y (*.f64 x z)) (/.f64 #s(literal -1 binary64) z)))
(+.f64 (/.f64 (-.f64 y x) z) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x z))) (sqrt.f64 (/.f64 x z)) (/.f64 x z)))
(/.f64 (-.f64 y x) z)
(+.f64 (/.f64 (-.f64 y x) z) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 z))) (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (/.f64 x z)))
(+.f64 (/.f64 (-.f64 y x) z) (fma.f64 (/.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 z))) (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (/.f64 x z)))
(-.f64 (/.f64 y z) (/.f64 (/.f64 x (sqrt.f64 z)) (sqrt.f64 z)))
(+.f64 (/.f64 y z) (neg.f64 (/.f64 x z)))
(/.f64 (-.f64 y x) z)
(+.f64 #s(literal 0 binary64) (/.f64 (-.f64 y x) z))
(/.f64 (-.f64 y x) z)
(+.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) z) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) x (*.f64 (/.f64 #s(literal 1 binary64) z) x)))
(/.f64 (-.f64 y x) z)
(+.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) z) (neg.f64 (*.f64 (/.f64 x z) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (/.f64 x z)) #s(literal 1 binary64) (*.f64 (/.f64 x z) #s(literal 1 binary64))))
(/.f64 (-.f64 y x) z)
(+.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) z) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) z)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (/.f64 (cbrt.f64 x) z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 y x) z)
(+.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) z) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) z) (sqrt.f64 x)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) z)) (sqrt.f64 x) (*.f64 (/.f64 (sqrt.f64 x) z) (sqrt.f64 x))))
(/.f64 (-.f64 y x) z)
(+.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) z) (neg.f64 (*.f64 (cbrt.f64 (/.f64 x z)) (*.f64 (cbrt.f64 (/.f64 x z)) (cbrt.f64 (/.f64 x z)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x z))) (*.f64 (cbrt.f64 (/.f64 x z)) (cbrt.f64 (/.f64 x z))) (*.f64 (cbrt.f64 (/.f64 x z)) (*.f64 (cbrt.f64 (/.f64 x z)) (cbrt.f64 (/.f64 x z))))))
(/.f64 (-.f64 y x) z)
(+.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) z) (neg.f64 (*.f64 (/.f64 x (cbrt.f64 z)) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (/.f64 x (cbrt.f64 z))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (*.f64 (/.f64 x (cbrt.f64 z)) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))))
(+.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 x (neg.f64 (cbrt.f64 z))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))) (fma.f64 (/.f64 x (neg.f64 (cbrt.f64 z))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (*.f64 (/.f64 x (cbrt.f64 z)) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))))
(+.f64 (-.f64 (/.f64 y z) (/.f64 (/.f64 x (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))) (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 x (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))
(-.f64 (/.f64 y z) (pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 z)) #s(literal 3 binary64)))
(+.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) z) (neg.f64 (*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))))
(+.f64 (/.f64 (-.f64 y x) z) (fma.f64 (/.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 z))) (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (/.f64 x z)))
(-.f64 (/.f64 y z) (/.f64 (/.f64 x (sqrt.f64 z)) (sqrt.f64 z)))
(+.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) z) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) z) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) z)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (cbrt.f64 x) z) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 y x) z)
(+.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) z) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 z)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 z))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 z)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))))
(+.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 x (neg.f64 (cbrt.f64 z))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))) (fma.f64 (/.f64 x (neg.f64 (cbrt.f64 z))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (*.f64 (/.f64 x (cbrt.f64 z)) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))))
(+.f64 (-.f64 (/.f64 y z) (/.f64 (/.f64 x (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))) (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 x (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))
(-.f64 (/.f64 y z) (pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 z)) #s(literal 3 binary64)))
(+.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) z) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 z)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 z))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 z))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 z)) (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 z)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 z)))))
(+.f64 (/.f64 (-.f64 y x) z) (fma.f64 (/.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 z))) (/.f64 (sqrt.f64 x) (sqrt.f64 z)) (/.f64 x z)))
(-.f64 (/.f64 y z) (/.f64 (/.f64 x (sqrt.f64 z)) (sqrt.f64 z)))
(+.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) z) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) z) (/.f64 (sqrt.f64 x) #s(literal 1 binary64))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) z)) (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (/.f64 (sqrt.f64 x) z) (/.f64 (sqrt.f64 x) #s(literal 1 binary64)))))
(/.f64 (-.f64 y x) z)
(+.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) z) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 z)) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 z))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 z)) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))))
(+.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 x (neg.f64 (cbrt.f64 z))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))) (fma.f64 (/.f64 x (neg.f64 (cbrt.f64 z))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (*.f64 (/.f64 x (cbrt.f64 z)) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))))
(+.f64 (-.f64 (/.f64 y z) (/.f64 (/.f64 x (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))) (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 x (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))
(-.f64 (/.f64 y z) (pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 z)) #s(literal 3 binary64)))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 y z) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) x (*.f64 (/.f64 #s(literal 1 binary64) z) x)))
(/.f64 (-.f64 y x) z)
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 y z) (neg.f64 (*.f64 (/.f64 x z) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (/.f64 x z)) #s(literal 1 binary64) (*.f64 (/.f64 x z) #s(literal 1 binary64))))
(/.f64 (-.f64 y x) z)
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 y z) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) z)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (/.f64 (cbrt.f64 x) z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 y x) z)
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 y z) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) z) (sqrt.f64 x)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) z)) (sqrt.f64 x) (*.f64 (/.f64 (sqrt.f64 x) z) (sqrt.f64 x))))
(/.f64 (-.f64 y x) z)
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 y z) (neg.f64 (*.f64 (cbrt.f64 (/.f64 x z)) (*.f64 (cbrt.f64 (/.f64 x z)) (cbrt.f64 (/.f64 x z)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x z))) (*.f64 (cbrt.f64 (/.f64 x z)) (cbrt.f64 (/.f64 x z))) (*.f64 (cbrt.f64 (/.f64 x z)) (*.f64 (cbrt.f64 (/.f64 x z)) (cbrt.f64 (/.f64 x z))))))
(/.f64 (-.f64 y x) z)
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 y z) (neg.f64 (*.f64 (/.f64 x (cbrt.f64 z)) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (/.f64 x (cbrt.f64 z))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (*.f64 (/.f64 x (cbrt.f64 z)) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))))
(+.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 x (neg.f64 (cbrt.f64 z))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))) (fma.f64 (/.f64 x (neg.f64 (cbrt.f64 z))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (*.f64 (/.f64 x (cbrt.f64 z)) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))))
(+.f64 (-.f64 (/.f64 y z) (/.f64 (/.f64 x (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))) (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 x (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))
(-.f64 (/.f64 y z) (pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 z)) #s(literal 3 binary64)))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 y z) (neg.f64 (*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))))
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(/.f64 (-.f64 y x) z)
(neg.f64 (/.f64 (-.f64 y x) (neg.f64 z)))
(/.f64 (-.f64 y x) z)
(neg.f64 (/.f64 (neg.f64 (-.f64 y x)) z))
(/.f64 (-.f64 y x) z)
(sqrt.f64 (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -2 binary64)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (-.f64 y x) z)))
(/.f64 (-.f64 y x) z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (-.f64 y x) z))))
(/.f64 (-.f64 y x) z)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64)))
(/.f64 (-.f64 y x) z)
(cbrt.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(/.f64 (-.f64 y x) z)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 y x) z)))
(/.f64 (-.f64 y x) z)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 y x) z)))
(/.f64 (-.f64 y x) z)
(exp.f64 (log.f64 (/.f64 (-.f64 y x) z)))
(/.f64 (-.f64 y x) z)
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 y x) z)) #s(literal 1 binary64)))
(/.f64 (-.f64 y x) z)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 y x) z))) #s(literal 3 binary64)))
(/.f64 (-.f64 y x) z)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 (-.f64 y x) z))) #s(literal 1/3 binary64)))
(/.f64 (-.f64 y x) z)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 y x) z))) #s(literal 2 binary64)))
(/.f64 (-.f64 y x) z)
(exp.f64 (*.f64 (log.f64 (/.f64 z (-.f64 y x))) #s(literal -1 binary64)))
(/.f64 (-.f64 y x) z)
(fma.f64 y (/.f64 #s(literal 1 binary64) z) (neg.f64 (/.f64 x z)))
(/.f64 (-.f64 y x) z)
(fma.f64 #s(literal 1 binary64) (/.f64 y z) (neg.f64 (/.f64 x z)))
(/.f64 (-.f64 y x) z)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) z) (neg.f64 (/.f64 x z)))
(/.f64 (-.f64 y x) z)
(fma.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) z) (neg.f64 (/.f64 x z)))
(/.f64 (-.f64 y x) z)
(fma.f64 (*.f64 (cbrt.f64 (/.f64 y z)) (cbrt.f64 (/.f64 y z))) (cbrt.f64 (/.f64 y z)) (neg.f64 (/.f64 x z)))
(/.f64 (-.f64 y x) z)
(fma.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 y z)) (neg.f64 (/.f64 x z)))
(/.f64 (-.f64 y x) z)
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z)) (neg.f64 (/.f64 x z)))
(+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x (*.f64 x (/.f64 #s(literal 1 binary64) z))) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z)) (*.f64 (/.f64 #s(literal -1 binary64) z) x)))
(+.f64 (*.f64 (/.f64 x z) #s(literal 0 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z))) (/.f64 x z)))
(-.f64 (pow.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 z)) #s(literal 3 binary64)) (/.f64 x z))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)) (neg.f64 (/.f64 x z)))
(+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x (*.f64 x (/.f64 #s(literal 1 binary64) z))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)) (*.f64 (/.f64 #s(literal -1 binary64) z) x)))
(+.f64 (*.f64 (/.f64 x z) #s(literal 0 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 y (sqrt.f64 z))) (/.f64 x z)))
(-.f64 (/.f64 (/.f64 y (sqrt.f64 z)) (sqrt.f64 z)) (/.f64 x z))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) z) (neg.f64 (/.f64 x z)))
(/.f64 (-.f64 y x) z)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (cbrt.f64 y) (cbrt.f64 z)) (neg.f64 (/.f64 x z)))
(+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x (*.f64 x (/.f64 #s(literal 1 binary64) z))) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z)) (*.f64 (/.f64 #s(literal -1 binary64) z) x)))
(+.f64 (*.f64 (/.f64 x z) #s(literal 0 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z))) (/.f64 x z)))
(-.f64 (pow.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 z)) #s(literal 3 binary64)) (/.f64 x z))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 y) (sqrt.f64 z)) (neg.f64 (/.f64 x z)))
(+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x (*.f64 x (/.f64 #s(literal 1 binary64) z))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)) (*.f64 (/.f64 #s(literal -1 binary64) z) x)))
(+.f64 (*.f64 (/.f64 x z) #s(literal 0 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 y (sqrt.f64 z))) (/.f64 x z)))
(-.f64 (/.f64 (/.f64 y (sqrt.f64 z)) (sqrt.f64 z)) (/.f64 x z))
(fma.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) z) (neg.f64 (/.f64 x z)))
(/.f64 (-.f64 y x) z)
(fma.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 z)) (neg.f64 (/.f64 x z)))
(+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x (*.f64 x (/.f64 #s(literal 1 binary64) z))) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z)) (*.f64 (/.f64 #s(literal -1 binary64) z) x)))
(+.f64 (*.f64 (/.f64 x z) #s(literal 0 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z))) (/.f64 x z)))
(-.f64 (pow.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 z)) #s(literal 3 binary64)) (/.f64 x z))
(fma.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 z)) (/.f64 (sqrt.f64 y) (sqrt.f64 z)) (neg.f64 (/.f64 x z)))
(+.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x (*.f64 x (/.f64 #s(literal 1 binary64) z))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)) (*.f64 (/.f64 #s(literal -1 binary64) z) x)))
(+.f64 (*.f64 (/.f64 x z) #s(literal 0 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 y (sqrt.f64 z))) (/.f64 x z)))
(-.f64 (/.f64 (/.f64 y (sqrt.f64 z)) (sqrt.f64 z)) (/.f64 x z))

eval139.0ms (3.9%)

Compiler

Compiled 9841 to 4052 computations (58.8% saved)

prune51.0ms (1.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New2702272
Fresh000
Picked011
Done000
Total2703273
Accuracy
100.0%
Counts
273 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 #s(literal -4 binary64) (-.f64 (/.f64 (-.f64 y x) z) #s(literal -1/2 binary64)))
68.9%
(*.f64 #s(literal -4 binary64) (-.f64 (/.f64 (neg.f64 x) z) #s(literal -1/2 binary64)))
65.7%
(*.f64 #s(literal -4 binary64) (-.f64 (/.f64 y z) #s(literal -1/2 binary64)))
Compiler

Compiled 33 to 26 computations (21.2% saved)

localize72.0ms (2%)

Compiler

Compiled 47 to 23 computations (51.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
Operation ival-sub, time spent: 16.0ms, 59.0% of total-time
Operation ival-div, time spent: 5.0ms, 18.0% of total-time
Operation ival-mult, time spent: 4.0ms, 15.0% of total-time
Operation const, time spent: 2.0ms, 7.0% of total-time
Operation ival-neg, time spent: 1.0ms, 4.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune3.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New000
Fresh000
Picked022
Done011
Total033
Accuracy
100.0%
Counts
3 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 #s(literal -4 binary64) (-.f64 (/.f64 (-.f64 y x) z) #s(literal -1/2 binary64)))
68.9%
(*.f64 #s(literal -4 binary64) (-.f64 (/.f64 (neg.f64 x) z) #s(literal -1/2 binary64)))
65.7%
(*.f64 #s(literal -4 binary64) (-.f64 (/.f64 y z) #s(literal -1/2 binary64)))
Compiler

Compiled 71 to 53 computations (25.4% saved)

regimes106.0ms (3%)

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

5 calls:

91.0ms
(-.f64 x y)
4.0ms
z
4.0ms
y
4.0ms
x
3.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
100.0%1(-.f64 x y)
Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes84.0ms (2.4%)

Counts
2 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal -4 binary64) (-.f64 (/.f64 y z) #s(literal -1/2 binary64)))
(*.f64 #s(literal -4 binary64) (-.f64 (/.f64 (neg.f64 x) z) #s(literal -1/2 binary64)))
Outputs
(*.f64 #s(literal -4 binary64) (-.f64 (/.f64 (neg.f64 x) z) #s(literal -1/2 binary64)))
(*.f64 #s(literal -4 binary64) (-.f64 (/.f64 y z) #s(literal -1/2 binary64)))
(*.f64 #s(literal -4 binary64) (-.f64 (/.f64 (neg.f64 x) z) #s(literal -1/2 binary64)))
Calls

3 calls:

51.0ms
x
18.0ms
z
15.0ms
y
Results
AccuracySegmentsBranch
90.5%3x
89.9%5y
75.8%5z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes9.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

3.0ms
z
3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
65.7%1z
65.7%1y
65.7%1x
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch45.0ms (1.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
21.0ms
3.4994435801172754e+83
1.608384028286275e+90
24.0ms
-2.6630284258013073e-22
-2.944435283276432e-32
Results
33.0ms259×256valid
5.0ms44×256infinite
0.0ms256valid
Compiler

Compiled 457 to 376 computations (17.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
Operation ival-sub, time spent: 4.0ms, 35.0% of total-time
Operation ival-mult, time spent: 4.0ms, 35.0% of total-time
Operation ival-div, time spent: 3.0ms, 26.0% of total-time
Operation const, time spent: 1.0ms, 9.0% of total-time

simplify8.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
032144
151144
265144
381144
494144
5100144
6103144
7104144
Stop Event
done
saturated
Calls
Call 1
Inputs
(*.f64 #s(literal -4 binary64) (-.f64 (/.f64 (-.f64 y x) z) #s(literal -1/2 binary64)))
(if (<=.f64 x #s(literal -3832940580997451/1393796574908163946345982392040522594123776 binary64)) (*.f64 #s(literal -4 binary64) (-.f64 (/.f64 (neg.f64 x) z) #s(literal -1/2 binary64))) (if (<=.f64 x #s(literal 780000000000000039018927667088656113895656979642532756041752302673987384765992503607296 binary64)) (*.f64 #s(literal -4 binary64) (-.f64 (/.f64 y z) #s(literal -1/2 binary64))) (*.f64 #s(literal -4 binary64) (-.f64 (/.f64 (neg.f64 x) z) #s(literal -1/2 binary64)))))
(*.f64 #s(literal -4 binary64) (-.f64 (/.f64 y z) #s(literal -1/2 binary64)))
Outputs
(*.f64 #s(literal -4 binary64) (-.f64 (/.f64 (-.f64 y x) z) #s(literal -1/2 binary64)))
(if (<=.f64 x #s(literal -3832940580997451/1393796574908163946345982392040522594123776 binary64)) (*.f64 #s(literal -4 binary64) (-.f64 (/.f64 (neg.f64 x) z) #s(literal -1/2 binary64))) (if (<=.f64 x #s(literal 780000000000000039018927667088656113895656979642532756041752302673987384765992503607296 binary64)) (*.f64 #s(literal -4 binary64) (-.f64 (/.f64 y z) #s(literal -1/2 binary64))) (*.f64 #s(literal -4 binary64) (-.f64 (/.f64 (neg.f64 x) z) #s(literal -1/2 binary64)))))
(if (or (<=.f64 x #s(literal -3832940580997451/1393796574908163946345982392040522594123776 binary64)) (not (<=.f64 x #s(literal 780000000000000039018927667088656113895656979642532756041752302673987384765992503607296 binary64)))) (*.f64 #s(literal -4 binary64) (-.f64 (/.f64 (neg.f64 x) z) #s(literal -1/2 binary64))) (*.f64 #s(literal -4 binary64) (-.f64 (/.f64 y z) #s(literal -1/2 binary64))))
(if (or (<=.f64 x #s(literal -3832940580997451/1393796574908163946345982392040522594123776 binary64)) (not (<=.f64 x #s(literal 780000000000000039018927667088656113895656979642532756041752302673987384765992503607296 binary64)))) (*.f64 #s(literal -4 binary64) (-.f64 (/.f64 x (neg.f64 z)) #s(literal -1/2 binary64))) (*.f64 #s(literal -4 binary64) (-.f64 (/.f64 y z) #s(literal -1/2 binary64))))
(*.f64 #s(literal -4 binary64) (-.f64 (/.f64 y z) #s(literal -1/2 binary64)))
Compiler

Compiled 49 to 38 computations (22.4% saved)

soundness358.0ms (10.1%)

Rules
1084×associate-+r+
1032×fma-define
984×times-frac
870×associate-+l+
806×div-sub
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
058719625
1136415423
237959262
049513
1142481
2438437
31735374
46434374
Stop Event
node limit
node limit
Compiler

Compiled 295 to 166 computations (43.7% saved)

end0.0ms (0%)

preprocess52.0ms (1.5%)

Compiler

Compiled 146 to 106 computations (27.4% saved)

Profiling

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