Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, D

Time bar (total: 2.9s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 13 to 10 computations (23.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
Operation ival-div, time spent: 0.0ms, 0.0% of total-time
Operation ival-sub, time spent: 0.0ms, 0.0% of total-time
Operation ival-mult, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

sample1.1s (37.4%)

Results
897.0ms7199×256valid
132.0ms1056×256infinite
0.0ms1×256valid
Precisions
Click to see histograms. Total time spent on operations: 282.0ms
Operation ival-div, time spent: 130.0ms, 46.0% of total-time
Operation ival-mult, time spent: 83.0ms, 29.0% of total-time
Operation ival-sub, time spent: 48.0ms, 17.0% of total-time
Operation const, time spent: 21.0ms, 7.0% of total-time
Bogosity

preprocess208.0ms (7.1%)

Algorithm
1×egg-herbie
Rules
661×fma-define
378×fma-neg
86×unsub-neg
83×distribute-lft-neg-in
79×associate-*r*
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(/.f64 z #s(literal 8 binary64))
00-0-#s(literal 2 binary64)
00-0-y
00-0-(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
00-0-(*.f64 x y)
00-0-z
00-0-(/.f64 (*.f64 x y) #s(literal 2 binary64))
00-0-#s(literal 8 binary64)
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041398
183342
2171330
3373330
4780330
51448330
62207330
72262330
82268330
92268330
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 x (neg.f64 y)) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 (neg.f64 z) #s(literal 8 binary64)))
(neg.f64 (-.f64 (/.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))))
(neg.f64 (-.f64 (/.f64 (*.f64 x (neg.f64 y)) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))))
(neg.f64 (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 (neg.f64 z) #s(literal 8 binary64))))
(-.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 x #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 x z) #s(literal 2 binary64)) (/.f64 y #s(literal 8 binary64)))
Outputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(-.f64 (/.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (*.f64 x (/.f64 (neg.f64 y) #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(neg.f64 (fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))))
(fma.f64 x (*.f64 y #s(literal -1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(-.f64 (/.f64 (*.f64 x (neg.f64 y)) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (*.f64 x (/.f64 (neg.f64 y) #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(neg.f64 (fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))))
(fma.f64 x (*.f64 y #s(literal -1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 (neg.f64 z) #s(literal 8 binary64)))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 (neg.f64 z) #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64)))
(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))
(neg.f64 (-.f64 (/.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 (neg.f64 z) #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64)))
(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))
(neg.f64 (-.f64 (/.f64 (*.f64 x (neg.f64 y)) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 (neg.f64 z) #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64)))
(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))
(neg.f64 (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 (neg.f64 z) #s(literal 8 binary64))))
(-.f64 (*.f64 x (/.f64 (neg.f64 y) #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(neg.f64 (fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))))
(fma.f64 x (*.f64 y #s(literal -1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(-.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(-.f64 (/.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 x #s(literal 8 binary64)))
(-.f64 (*.f64 z (/.f64 y #s(literal 2 binary64))) (/.f64 x #s(literal 8 binary64)))
(fma.f64 z (/.f64 y #s(literal 2 binary64)) (/.f64 x #s(literal -8 binary64)))
(fma.f64 y (/.f64 z #s(literal 2 binary64)) (*.f64 x #s(literal -1/8 binary64)))
(fma.f64 y (*.f64 z #s(literal 1/2 binary64)) (*.f64 x #s(literal -1/8 binary64)))
(-.f64 (/.f64 (*.f64 x z) #s(literal 2 binary64)) (/.f64 y #s(literal 8 binary64)))
(-.f64 (*.f64 x (/.f64 z #s(literal 2 binary64))) (/.f64 y #s(literal 8 binary64)))
(fma.f64 x (/.f64 z #s(literal 2 binary64)) (/.f64 y #s(literal -8 binary64)))
(fma.f64 x (/.f64 z #s(literal 2 binary64)) (*.f64 y #s(literal -1/8 binary64)))
(fma.f64 x (*.f64 z #s(literal 1/2 binary64)) (*.f64 y #s(literal -1/8 binary64)))
Symmetry

(sort x y)

Compiler

Compiled 70 to 41 computations (41.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
Operation ival-div, time spent: 17.0ms, 63.0% of total-time
Operation ival-mult, time spent: 4.0ms, 15.0% of total-time
Operation ival-sub, time spent: 3.0ms, 11.0% of total-time
Operation const, time spent: 2.0ms, 7.0% of total-time

eval1.0ms (0%)

Compiler

Compiled 36 to 24 computations (33.3% saved)

prune2.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
▶100.0%
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
Compiler

Compiled 23 to 17 computations (26.1% saved)

localize78.0ms (2.7%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓100.0%
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
Compiler

Compiled 48 to 27 computations (43.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
Operation ival-div, time spent: 15.0ms, 53.0% of total-time
Operation composed, time spent: 4.0ms, 14.0% of total-time
Operation ival-mult, time spent: 4.0ms, 14.0% of total-time
Operation ival-sub, time spent: 2.0ms, 7.0% of total-time
Operation const, time spent: 2.0ms, 7.0% of total-time
Operation ival-add, time spent: 1.0ms, 4.0% of total-time

series5.0ms (0.2%)

Counts
1 → 36
Calls
Call 1
Inputs
#<alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))>
Outputs
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))>
#<alt (*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))>
#<alt (*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))>
Calls

9 calls:

TimeVariablePointExpression
1.0ms
y
@inf
(- (/ (* x y) 2) (/ z 8))
1.0ms
x
@0
(- (/ (* x y) 2) (/ z 8))
1.0ms
x
@inf
(- (/ (* x y) 2) (/ z 8))
0.0ms
z
@inf
(- (/ (* x y) 2) (/ z 8))
0.0ms
z
@0
(- (/ (* x y) 2) (/ z 8))

rewrite225.0ms (7.7%)

Algorithm
1×batch-egg-rewrite
Rules
964×log1p-expm1-u
964×expm1-log1p-u
474×log-prod
294×fma-define
156×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01534
118330
2259730
Stop Event
1×node limit
Counts
1 → 142
Calls
Call 1
Inputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
Outputs
(+.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) (*.f64 z #s(literal -1/8 binary64)))
(+.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) (*.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(+.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64))) (fma.f64 #s(literal -1/8 binary64) z (*.f64 z #s(literal 1/8 binary64))))
(+.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64))) (fma.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64) (*.f64 z #s(literal 1/8 binary64))))
(+.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(+.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64))) (+.f64 (*.f64 z #s(literal -1/8 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(+.f64 (*.f64 z #s(literal -1/8 binary64)) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64))))) (cbrt.f64 (exp.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))))))
(*.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64))))
(*.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))) (sqrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))))
(*.f64 (fma.f64 x (*.f64 y #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z)) #s(literal 1/16 binary64))
(*.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 x (*.f64 y #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64)))))
(/.f64 (fma.f64 x (*.f64 y #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z)) #s(literal 16 binary64))
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(fma.f64 (fma.f64 x (*.f64 y #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z)) #s(literal 1/16 binary64) (fma.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (fma.f64 x (*.f64 y #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z)) #s(literal 1/16 binary64) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (fma.f64 x (*.f64 y #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z)) #s(literal 1/16 binary64) (+.f64 (*.f64 z #s(literal -1/8 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (neg.f64 z) #s(literal 1/8 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 (*.f64 x (neg.f64 y)) #s(literal -1/2 binary64) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (*.f64 x (neg.f64 y)) #s(literal -1/2 binary64) (*.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (fma.f64 #s(literal -1/8 binary64) z (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (fma.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (+.f64 (*.f64 z #s(literal -1/8 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (fma.f64 #s(literal -1/8 binary64) z (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (fma.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (+.f64 (*.f64 z #s(literal -1/8 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64))) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 z #s(literal 1/8 binary64)) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 z #s(literal -1/8 binary64))) (cbrt.f64 (*.f64 z #s(literal -1/8 binary64)))) (cbrt.f64 (*.f64 z #s(literal -1/8 binary64))) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 z #s(literal -1/8 binary64))) (sqrt.f64 (*.f64 z #s(literal -1/8 binary64))) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (fma.f64 #s(literal -1/8 binary64) z (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (fma.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (+.f64 (*.f64 z #s(literal -1/8 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))

simplify108.0ms (3.7%)

Algorithm
1×egg-herbie
Rules
548×times-frac
437×associate-/l*
388×*-commutative
251×cancel-sign-sub-inv
247×distribute-lft-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03407235
18327043
224537043
Stop Event
1×node limit
Counts
178 → 177
Calls
Call 1
Inputs
(*.f64 #s(literal -1/8 binary64) z)
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1/8 binary64) z)
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))
(+.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) (*.f64 z #s(literal -1/8 binary64)))
(+.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) (*.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(+.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64))) (fma.f64 #s(literal -1/8 binary64) z (*.f64 z #s(literal 1/8 binary64))))
(+.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64))) (fma.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64) (*.f64 z #s(literal 1/8 binary64))))
(+.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(+.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64))) (+.f64 (*.f64 z #s(literal -1/8 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(+.f64 (*.f64 z #s(literal -1/8 binary64)) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64))))) (cbrt.f64 (exp.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))))))
(*.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64))))
(*.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))) (sqrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))))
(*.f64 (fma.f64 x (*.f64 y #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z)) #s(literal 1/16 binary64))
(*.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 x (*.f64 y #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64)))))
(/.f64 (fma.f64 x (*.f64 y #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z)) #s(literal 16 binary64))
(/.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64))) (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64))) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(/.f64 (fma.f64 (*.f64 x y) (/.f64 #s(literal 8 binary64) z) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (-.f64 (*.f64 (*.f64 x y) #s(literal -8 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 z))) #s(literal -16 binary64))
(/.f64 (-.f64 #s(literal 8 binary64) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) z)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 8 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 8 binary64) z) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (-.f64 #s(literal -8 binary64) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) (neg.f64 z))) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal -8 binary64)))
(/.f64 (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 8 binary64) (neg.f64 (*.f64 #s(literal -2 binary64) z))) #s(literal -16 binary64))
(/.f64 (fma.f64 (*.f64 x (neg.f64 y)) (/.f64 #s(literal 8 binary64) z) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 8 binary64) z)))
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(fma.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (+.f64 (*.f64 z #s(literal -1/8 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (fma.f64 #s(literal -1/8 binary64) z (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (fma.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (+.f64 (*.f64 z #s(literal -1/8 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64))) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 z #s(literal 1/8 binary64)) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 z #s(literal -1/8 binary64))) (cbrt.f64 (*.f64 z #s(literal -1/8 binary64)))) (cbrt.f64 (*.f64 z #s(literal -1/8 binary64))) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 z #s(literal -1/8 binary64))) (sqrt.f64 (*.f64 z #s(literal -1/8 binary64))) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (fma.f64 #s(literal -1/8 binary64) z (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (fma.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (+.f64 (*.f64 z #s(literal -1/8 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
Outputs
(*.f64 #s(literal -1/8 binary64) z)
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal -1/8 binary64) z)
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) x (*.f64 z (/.f64 #s(literal -1/8 binary64) y))))
(*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) x (*.f64 z (/.f64 #s(literal -1/8 binary64) y))))
(*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) x (*.f64 z (/.f64 #s(literal -1/8 binary64) y))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) x (*.f64 z (/.f64 #s(literal -1/8 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) x (*.f64 z (/.f64 #s(literal -1/8 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) x (*.f64 z (/.f64 #s(literal -1/8 binary64) y))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1/8 binary64)))
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1/8 binary64)))
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1/8 binary64)))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 (neg.f64 z) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal 1/8 binary64)) (neg.f64 z))
(*.f64 z (neg.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal 1/8 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 (neg.f64 z) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal 1/8 binary64)) (neg.f64 z))
(*.f64 z (neg.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal 1/8 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 (neg.f64 z) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal 1/8 binary64)) (neg.f64 z))
(*.f64 z (neg.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal 1/8 binary64))))
(+.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(+.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) (*.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(+.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64))) (fma.f64 #s(literal -1/8 binary64) z (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(+.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64))) (fma.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(+.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(+.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64))) (+.f64 (*.f64 z #s(literal -1/8 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(+.f64 (*.f64 z #s(literal -1/8 binary64)) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64))))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
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(fma.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64))) (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64))) (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(fma.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (+.f64 (*.f64 z #s(literal -1/8 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64))) (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64))) (fma.f64 (*.f64 z #s(literal 1/8 binary64)) (fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 z #s(literal 1/8 binary64))) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(fma.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (fma.f64 #s(literal -1/8 binary64) z (*.f64 z #s(literal 1/8 binary64))))
(*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 z #s(literal 1/8 binary64)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/64 binary64))) (fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (fma.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64) (*.f64 z #s(literal 1/8 binary64))))
(*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 z #s(literal 1/8 binary64)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/64 binary64))) (fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 z #s(literal 1/8 binary64)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/64 binary64))) (fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (+.f64 (*.f64 z #s(literal -1/8 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 z #s(literal 1/8 binary64)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/64 binary64))) (fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64))) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(fma.f64 #s(literal -1 binary64) (*.f64 z #s(literal 1/8 binary64)) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 z #s(literal -1/8 binary64))) (cbrt.f64 (*.f64 z #s(literal -1/8 binary64)))) (cbrt.f64 (*.f64 z #s(literal -1/8 binary64))) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(fma.f64 (sqrt.f64 (*.f64 z #s(literal -1/8 binary64))) (sqrt.f64 (*.f64 z #s(literal -1/8 binary64))) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (fma.f64 #s(literal -1/8 binary64) z (*.f64 z #s(literal 1/8 binary64))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (fma.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64) (*.f64 z #s(literal 1/8 binary64))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (+.f64 (*.f64 z #s(literal -1/8 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))

eval229.0ms (7.8%)

Compiler

Compiled 3131 to 2145 computations (31.5% saved)

prune28.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1734177
Fresh000
Picked112
Done000
Total1745179
Accuracy
100.0%
Counts
179 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
▶92.2%
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
▶89.0%
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
▶49.6%
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
▶50.4%
(*.f64 #s(literal -1/8 binary64) z)
Compiler

Compiled 54 to 40 computations (25.9% saved)

localize132.0ms (4.5%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
✓100.0%
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z))
✓93.6%
(/.f64 (*.f64 x y) z)
✓92.2%
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
✓100.0%
(+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y))
✓89.0%
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
Compiler

Compiled 96 to 46 computations (52.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
Operation ival-mult, time spent: 41.0ms, 75.0% of total-time
Operation ival-div, time spent: 5.0ms, 9.0% of total-time
Operation ival-sub, time spent: 3.0ms, 5.0% of total-time
Operation ival-add, time spent: 3.0ms, 5.0% of total-time
Operation const, time spent: 3.0ms, 5.0% of total-time

series24.0ms (0.8%)

Counts
5 → 90
Calls
Call 1
Inputs
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z))>
Outputs
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))>
#<alt (*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))>
#<alt (*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 #s(literal -1/8 binary64) (/.f64 z x))>
#<alt (*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y z)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y z)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y z)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1/8 binary64) (/.f64 z x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y z)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y z)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y z)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1/8 binary64) (/.f64 z x))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) x)>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 #s(literal -1/8 binary64) (/.f64 z x))>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 z (*.f64 x y)))))>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 z (*.f64 x y)))))>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 z (*.f64 x y)))))>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 z (*.f64 x y))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 z (*.f64 x y))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 z (*.f64 x y))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
Calls

45 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/ (* x y) z)
1.0ms
y
@inf
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
1.0ms
x
@0
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
1.0ms
z
@0
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
1.0ms
z
@inf
(* z (- (* 1/2 (/ (* x y) z)) 1/8))

rewrite164.0ms (5.6%)

Algorithm
1×batch-egg-rewrite
Rules
1068×log1p-expm1-u
965×expm1-log1p-u
161×associate-*r*
143×add-exp-log
143×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022158
1319158
24722158
Stop Event
1×node limit
Counts
5 → 155
Calls
Call 1
Inputs
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(/.f64 (*.f64 x y) z)
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z))
Outputs
(+.f64 (*.f64 x (*.f64 #s(literal -1/8 binary64) (/.f64 z x))) (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(+.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x (*.f64 #s(literal -1/8 binary64) (/.f64 z x))))
(+.f64 (*.f64 (*.f64 x (*.f64 #s(literal -1/8 binary64) (/.f64 z x))) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -1/8 binary64) (/.f64 z x))) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 #s(literal -1/8 binary64) (/.f64 z x))) (*.f64 x (*.f64 #s(literal -1/8 binary64) (/.f64 z x)))) (-.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x (*.f64 #s(literal 1/2 binary64) y))) (*.f64 (*.f64 x (*.f64 #s(literal -1/8 binary64) (/.f64 z x))) (*.f64 x (*.f64 #s(literal 1/2 binary64) y))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 #s(literal -1/8 binary64) (/.f64 z x))) (*.f64 x (*.f64 #s(literal -1/8 binary64) (/.f64 z x)))) (*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y)) (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))) (-.f64 (*.f64 x (*.f64 #s(literal -1/8 binary64) (/.f64 z x))) (*.f64 x (*.f64 #s(literal 1/2 binary64) y))))
(/.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) #s(literal 3 binary64)))) (+.f64 (*.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (-.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) (/.f64 z x))))))
(/.f64 (*.f64 x (-.f64 (*.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal -1/2 binary64) y)))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) #s(literal 3 binary64))) x) (+.f64 (*.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (-.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) (/.f64 z x))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))) x) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal -1/2 binary64) y)))
(pow.f64 (*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y)))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) x (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y)))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal -1/2 binary64) y))) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal -1/2 binary64) y))))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 (cbrt.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y))) (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y))))
(*.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (-.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) (/.f64 z x)))))))
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal -1/2 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (-.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) (/.f64 z x))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal -1/2 binary64) y)) (-.f64 (*.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (-.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) (/.f64 z x))))))
(/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal -1/2 binary64) y)))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (*.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (-.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) (/.f64 z x)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal -1/2 binary64) y))))
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)) #s(literal 1/64 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) (/.f64 z x))))
(pow.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y))))
(exp.f64 (log.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 z x) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal -1/8 binary64) (/.f64 z x)))
(fma.f64 y #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 z x)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) (/.f64 z x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1/8 binary64) (/.f64 z x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x))) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1/8 binary64) (/.f64 z x)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x))) (sqrt.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x))) (*.f64 #s(literal 1/2 binary64) y))
(+.f64 (*.f64 z (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)))) (*.f64 #s(literal -1/8 binary64) z))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z))) z) (*.f64 #s(literal -1/8 binary64) z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1/8 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 z (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z))) #s(literal 3 binary64)) #s(literal -1/512 binary64))) (+.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x (/.f64 y z)) #s(literal 1/16 binary64)))))
(/.f64 (*.f64 z (+.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/64 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal 1/8 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z))) #s(literal 3 binary64)) #s(literal -1/512 binary64)) z) (+.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x (/.f64 y z)) #s(literal 1/16 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/64 binary64)) z) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal 1/8 binary64)))
(pow.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1/8 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1/8 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1/8 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1/8 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1/8 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1/8 binary64))) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1/8 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1/8 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1/8 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1/8 binary64)) #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 x (/.f64 y z)) #s(literal -1/8 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1/8 binary64)))))
(exp.f64 (log.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1/8 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1/8 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 y z)))) #s(literal 1 binary64))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 x (/.f64 y z)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y z)))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (/.f64 y z))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x y)) z))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x y)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 y z)))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) (sqrt.f64 (*.f64 x (/.f64 y z))))
(*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 (sqrt.f64 (*.f64 x y)) z))
(*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 y z)))
(*.f64 (*.f64 x (neg.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y))
(*.f64 (/.f64 y z) x)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (*.f64 x y) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (*.f64 x y) (sqrt.f64 z)))
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y z))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z)))
(*.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x z))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 x y)) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (/.f64 y z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (*.f64 x y)) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 x y)) z))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 x y)) (cbrt.f64 z)))
(pow.f64 (*.f64 x (/.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 z x) y) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 x y) (neg.f64 z)))
(neg.f64 (/.f64 (*.f64 x (neg.f64 y)) z))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 y z)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 y z))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 y z))))
(exp.f64 (log.f64 (*.f64 x (/.f64 y z))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 y z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z))))) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 z x) y))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x (*.f64 #s(literal 1/2 binary64) y))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y)) z)
(/.f64 (neg.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y))) (neg.f64 z))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (neg.f64 y))) (neg.f64 z))
(/.f64 (*.f64 (*.f64 x (neg.f64 y)) #s(literal 1/2 binary64)) (neg.f64 z))
(/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y)) (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 x (/.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)))) #s(literal 1 binary64)))

simplify133.0ms (4.5%)

Algorithm
1×egg-herbie
Rules
433×cancel-sign-sub-inv
423×distribute-lft-neg-in
398×distribute-rgt-neg-in
339×fma-neg
296×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04189145
110278959
237748841
Stop Event
1×node limit
Counts
245 → 219
Calls
Call 1
Inputs
(*.f64 #s(literal -1/8 binary64) z)
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1/8 binary64) z)
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal -1/8 binary64) (/.f64 z x))
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y z)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y z)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y z)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1/8 binary64) (/.f64 z x))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y z)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y z)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y z)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1/8 binary64) (/.f64 z x))
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) x)
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) x)
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) x)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal -1/8 binary64) (/.f64 z x))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 z (*.f64 x y)))))
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(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/64 binary64)) z) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal 1/8 binary64)))
(pow.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1/8 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1/8 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1/8 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1/8 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1/8 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1/8 binary64))) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1/8 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1/8 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1/8 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1/8 binary64)) #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 x (/.f64 y z)) #s(literal -1/8 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1/8 binary64)))))
(exp.f64 (log.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1/8 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1/8 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 y z)))) #s(literal 1 binary64))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 x (/.f64 y z)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y z)))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (/.f64 y z))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x y)) z))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x y)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 y z)))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) (sqrt.f64 (*.f64 x (/.f64 y z))))
(*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 (sqrt.f64 (*.f64 x y)) z))
(*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 y z)))
(*.f64 (*.f64 x (neg.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y))
(*.f64 (/.f64 y z) x)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (*.f64 x y) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (*.f64 x y) (sqrt.f64 z)))
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y z))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z)))
(*.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x z))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 x y)) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (/.f64 y z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (*.f64 x y)) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 x y)) z))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 x y)) (cbrt.f64 z)))
(pow.f64 (*.f64 x (/.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 z x) y) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 x y) (neg.f64 z)))
(neg.f64 (/.f64 (*.f64 x (neg.f64 y)) z))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 y z)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 y z))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 y z))))
(exp.f64 (log.f64 (*.f64 x (/.f64 y z))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 y z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z))))) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 z x) y))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x (*.f64 #s(literal 1/2 binary64) y))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y)) z)
(/.f64 (neg.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y))) (neg.f64 z))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (neg.f64 y))) (neg.f64 z))
(/.f64 (*.f64 (*.f64 x (neg.f64 y)) #s(literal 1/2 binary64)) (neg.f64 z))
(/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y)) (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 x (/.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1/8 binary64) z)
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(neg.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(*.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 z x))) (neg.f64 x))
(*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(neg.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(*.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 z x))) (neg.f64 x))
(*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(neg.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(*.f64 (fma.f64 y #s(literal -1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 z x))) (neg.f64 x))
(*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1/8 binary64)))
(*.f64 z (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z) #s(literal -1/8 binary64)))
(*.f64 z (fma.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) z)) #s(literal -1/8 binary64)))
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1/8 binary64)))
(*.f64 z (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z) #s(literal -1/8 binary64)))
(*.f64 z (fma.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) z)) #s(literal -1/8 binary64)))
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1/8 binary64)))
(*.f64 z (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z) #s(literal -1/8 binary64)))
(*.f64 z (fma.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) z)) #s(literal -1/8 binary64)))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1/8 binary64)))
(*.f64 z (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z) #s(literal -1/8 binary64)))
(*.f64 z (fma.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) z)) #s(literal -1/8 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1/8 binary64)))
(*.f64 z (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z) #s(literal -1/8 binary64)))
(*.f64 z (fma.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) z)) #s(literal -1/8 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1/8 binary64)))
(*.f64 z (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z) #s(literal -1/8 binary64)))
(*.f64 z (fma.f64 x (*.f64 y (/.f64 #s(literal 1/2 binary64) z)) #s(literal -1/8 binary64)))
(*.f64 #s(literal -1/8 binary64) z)
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal -1/8 binary64) (/.f64 z x))
(*.f64 z (/.f64 #s(literal -1/8 binary64) x))
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y z)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
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(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 z x)) y)
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)))) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 z x)) y)
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64))))
(fabs.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z))))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 x (/.f64 y z))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 z x)) y)
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z))))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 z x)) y)
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z))) #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 z x)) y)
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)))))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y z)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 z x)) y)
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 z x)) y)
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 z x)) y)
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)))

eval81.0ms (2.7%)

Compiler

Compiled 3808 to 2204 computations (42.1% saved)

prune33.0ms (1.1%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New2190219
Fresh000
Picked044
Done011
Total2195224
Accuracy
100.0%
Counts
224 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
✓92.2%
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
✓89.0%
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
✓49.6%
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
✓50.4%
(*.f64 #s(literal -1/8 binary64) z)
Compiler

Compiled 104 to 72 computations (30.8% saved)

regimes29.0ms (1%)

Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
Outputs
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
Calls

7 calls:

10.0ms
y
6.0ms
z
4.0ms
(/.f64 z #s(literal 8 binary64))
2.0ms
x
2.0ms
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
100.0%1(/.f64 (*.f64 x y) #s(literal 2 binary64))
100.0%1(*.f64 x y)
100.0%1(/.f64 z #s(literal 8 binary64))
Compiler

Compiled 44 to 33 computations (25% saved)

regimes17.0ms (0.6%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
Outputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
Calls

7 calls:

3.0ms
x
3.0ms
(*.f64 x y)
2.0ms
(/.f64 z #s(literal 8 binary64))
2.0ms
z
2.0ms
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
100.0%1(/.f64 (*.f64 x y) #s(literal 2 binary64))
100.0%1(*.f64 x y)
100.0%1(/.f64 z #s(literal 8 binary64))
Compiler

Compiled 44 to 33 computations (25% saved)

regimes11.0ms (0.4%)

Counts
2 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
Outputs
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal -1/8 binary64) z)
Calls

3 calls:

3.0ms
z
3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
71.1%5x
74.1%5y
74.5%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -1/8 binary64) z)
Outputs
(*.f64 #s(literal -1/8 binary64) z)
Calls

3 calls:

0.0ms
z
0.0ms
x
0.0ms
y
Results
AccuracySegmentsBranch
50.4%1x
50.4%1y
50.4%1z
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch37.0ms (1.2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
19.0ms
1.354808445847811e-19
1.7085678290158361e-16
17.0ms
-4.668589737488497e-53
-1.3675940705422316e-55
Results
28.0ms229×256valid
3.0ms26×256infinite
0.0ms1×256valid
Compiler

Compiled 274 to 222 computations (19% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
Operation ival-div, time spent: 6.0ms, 59.0% of total-time
Operation ival-sub, 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

simplify6.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
7×*-commutative
4×sub-neg
4×+-commutative
3×neg-sub0
3×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034134
146134
255134
361134
466134
568134
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(if (<=.f64 z #s(literal -2480315093377859/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) (*.f64 #s(literal -1/8 binary64) z) (if (<=.f64 z #s(literal 2149935417987077/40564819207303340847894502572032 binary64)) (*.f64 x (*.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1/8 binary64) z)))
(*.f64 #s(literal -1/8 binary64) z)
Outputs
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(if (<=.f64 z #s(literal -2480315093377859/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) (*.f64 #s(literal -1/8 binary64) z) (if (<=.f64 z #s(literal 2149935417987077/40564819207303340847894502572032 binary64)) (*.f64 x (*.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1/8 binary64) z)))
(if (or (<=.f64 z #s(literal -2480315093377859/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) (not (<=.f64 z #s(literal 2149935417987077/40564819207303340847894502572032 binary64)))) (*.f64 z #s(literal -1/8 binary64)) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 z #s(literal -1/8 binary64))
Compiler

Compiled 49 to 37 computations (24.5% saved)

soundness245.0ms (8.3%)

Rules
661×fma-define
548×times-frac
437×associate-/l*
388×*-commutative
378×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041398
183342
2171330
3373330
4780330
51448330
62207330
72262330
82268330
92268330
03407235
18327043
224537043
Stop Event
1×node limit
1×saturated
Compiler

Compiled 79 to 52 computations (34.2% saved)

end0.0ms (0%)

preprocess45.0ms (1.5%)

Remove

(sort x y)

Compiler

Compiled 192 to 138 computations (28.1% saved)

Profiling

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