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

Time bar (total: 3.0s)

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

sample1.0s (35.2%)

Results
847.0ms7237×256valid
125.0ms1018×256infinite
0.0ms1×256valid
Precisions
Click to see histograms. Total time spent on operations: 267.0ms
Operation ival-div, time spent: 116.0ms, 43.0% of total-time
Operation ival-mult, time spent: 75.0ms, 28.0% of total-time
Operation ival-sub, time spent: 56.0ms, 21.0% of total-time
Operation const, time spent: 20.0ms, 7.0% of total-time
Bogosity

preprocess209.0ms (7.1%)

Algorithm
1×egg-herbie
Rules
661×fma-define
378×fmm-def
82×distribute-lft-neg-in
79×unsub-neg
78×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
51446330
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 z (*.f64 x #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: 25.0ms
Operation ival-div, time spent: 14.0ms, 55.0% of total-time
Operation ival-mult, time spent: 5.0ms, 20.0% of total-time
Operation const, time spent: 4.0ms, 16.0% of total-time
Operation ival-sub, time spent: 3.0ms, 12.0% 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)

localize77.0ms (2.6%)

Localize:

Found 2 expressions with local error:

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

Compiled 48 to 27 computations (43.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
Operation ival-div, time spent: 17.0ms, 56.0% of total-time
Operation composed, time spent: 4.0ms, 13.0% of total-time
Operation ival-mult, time spent: 4.0ms, 13.0% of total-time
Operation ival-sub, time spent: 2.0ms, 7.0% of total-time
Operation ival-add, time spent: 2.0ms, 7.0% of total-time
Operation const, time spent: 2.0ms, 7.0% of total-time

series7.0ms (0.2%)

Counts
2 → 60
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 x y) #s(literal 2 binary64))>
#<alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 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 1/2 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 1/2 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 1/2 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 1/2 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 1/2 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 1/2 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 1/2 binary64) (*.f64 x y))>
#<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

15 calls:

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

rewrite233.0ms (7.9%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01553
118349
2259749
Stop Event
1×node limit
Counts
2 → 178
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))) (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))))) (log.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y)))))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y)))) (log.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(*.f64 y (*.f64 x #s(literal 1/2 binary64)))
(*.f64 y (/.f64 x #s(literal 2 binary64)))
(*.f64 (*.f64 x y) #s(literal 1/2 binary64))
(*.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (*.f64 x (neg.f64 y)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 x y) #s(literal -2 binary64)))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
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(fma.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)))) (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 (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 (*.f64 z #s(literal -1/8 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x y)) #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (*.f64 y #s(literal 1/2 binary64))) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (*.f64 z #s(literal 1/8 binary64))) (neg.f64 (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (*.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(fma.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)))) (fma.f64 #s(literal -1/8 binary64) z (*.f64 z #s(literal 1/8 binary64))))
(fma.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)))) (fma.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64) (*.f64 z #s(literal 1/8 binary64))))
(fma.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)))) (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 (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 (*.f64 z #s(literal -1/8 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x y)) (/.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x y)) (/.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/2 binary64))) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 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 #s(literal -1/8 binary64) z (*.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 (*.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))))

simplify130.0ms (4.4%)

Algorithm
1×egg-herbie
Rules
856×times-frac
520×fmm-def
369×cancel-sign-sub-inv
323×distribute-lft-neg-in
318×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03858511
19048319
227198313
Stop Event
1×node limit
Counts
238 → 224
Calls
Call 1
Inputs
(*.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 1/2 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 1/2 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 1/2 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 1/2 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 1/2 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 1/2 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 1/2 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 -1/8 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 #s(literal 0 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
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(fma.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (*.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(fma.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)) (fma.f64 #s(literal -1/8 binary64) z (*.f64 z #s(literal 1/8 binary64))))
(fma.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)) (fma.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64) (*.f64 z #s(literal 1/8 binary64))))
(fma.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)) (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 (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 (*.f64 z #s(literal -1/8 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(fma.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)))) (fma.f64 #s(literal -1/8 binary64) z (*.f64 z #s(literal 1/8 binary64))))
(fma.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)))) (fma.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64) (*.f64 z #s(literal 1/8 binary64))))
(fma.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)))) (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 (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 (*.f64 z #s(literal -1/8 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x y)) #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (*.f64 y #s(literal 1/2 binary64))) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (*.f64 z #s(literal 1/8 binary64))) (neg.f64 (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (*.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(fma.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)))) (fma.f64 #s(literal -1/8 binary64) z (*.f64 z #s(literal 1/8 binary64))))
(fma.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)))) (fma.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64) (*.f64 z #s(literal 1/8 binary64))))
(fma.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)))) (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 (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 (*.f64 z #s(literal -1/8 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(fma.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x y)) (/.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x y)) (/.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/2 binary64))) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 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 #s(literal -1/8 binary64) z (*.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 (*.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))))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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))
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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 #s(literal -1/8 binary64) z (*.f64 z #s(literal 1/8 binary64))))
(*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x 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 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal 1/8 binary64))) (pow.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y)) #s(literal 2 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 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 z (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.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))))
(*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x 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 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal 1/8 binary64))) (pow.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y)) #s(literal 2 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 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 z (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.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))))
(*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x 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 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal 1/8 binary64))) (pow.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y)) #s(literal 2 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 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 z (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.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))))
(*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x 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 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal 1/8 binary64))) (pow.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y)) #s(literal 2 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 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 z (*.f64 #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 z #s(literal -1/8 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x 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 #s(literal 1/2 binary64) (*.f64 x 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 #s(literal 1/2 binary64) (*.f64 x 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 #s(literal 1/2 binary64) (*.f64 x 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 #s(literal 1/2 binary64) (*.f64 x 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 #s(literal 1/2 binary64) (*.f64 x 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 #s(literal 1/2 binary64) (*.f64 x 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 #s(literal 1/2 binary64) (*.f64 x 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 #s(literal 1/2 binary64) (*.f64 x 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 #s(literal 1/2 binary64) (*.f64 x 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 #s(literal 1/2 binary64) (*.f64 x 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 #s(literal 1/2 binary64) (*.f64 x 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 #s(literal 1/2 binary64) (*.f64 x y))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) (sqrt.f64 (*.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)))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))) (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 #s(literal 1/2 binary64) (*.f64 x y))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) (sqrt.f64 (*.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)))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))) (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 #s(literal 1/2 binary64) (*.f64 x y))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) (sqrt.f64 (*.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)))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))) (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 #s(literal 1/2 binary64) (*.f64 x y))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) (sqrt.f64 (*.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)))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))) (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 #s(literal 1/2 binary64) (*.f64 x 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)))

eval90.0ms (3%)

Compiler

Compiled 3749 to 2516 computations (32.9% saved)

prune43.0ms (1.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New2222224
Fresh000
Picked112
Done000
Total2233226
Accuracy
100.0%
Counts
226 → 3
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)))
▶91.5%
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
▶49.3%
(*.f64 #s(literal -1/8 binary64) z)
Compiler

Compiled 32 to 24 computations (25% saved)

localize120.0ms (4.1%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
✓99.7%
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z))
✓93.6%
(/.f64 (*.f64 x y) z)
✓91.8%
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
Compiler

Compiled 49 to 22 computations (55.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 77.0ms
Operation ival-mult, time spent: 70.0ms, 91.0% of total-time
Operation ival-sub, time spent: 3.0ms, 4.0% of total-time
Operation ival-div, time spent: 2.0ms, 3.0% of total-time
Operation const, time spent: 2.0ms, 3.0% of total-time

series13.0ms (0.5%)

Counts
3 → 33
Calls
Call 1
Inputs
#<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 1/2 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

27 calls:

TimeVariablePointExpression
3.0ms
z
@0
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
2.0ms
y
@0
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
1.0ms
z
@inf
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
1.0ms
z
@-inf
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
1.0ms
x
@0
(* z (- (* 1/2 (/ (* x y) z)) 1/8))

rewrite108.0ms (3.7%)

Algorithm
1×batch-egg-rewrite
Rules
990×log1p-expm1-u
990×expm1-log1p-u
557×log-prod
168×expm1-undefine
168×log1p-undefine
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01689
119589
2261789
Stop Event
1×node limit
Counts
3 → 102
Calls
Call 1
Inputs
(*.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 #s(literal 0 binary64) (*.f64 z (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))
(+.f64 (*.f64 z (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z))) (*.f64 z #s(literal -1/8 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z)) z) (*.f64 #s(literal -1/8 binary64) z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 z) (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 z (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)) #s(literal -1/512 binary64))) (fma.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (*.f64 x (/.f64 y z)) #s(literal 1/16 binary64) #s(literal 1/64 binary64))))
(/.f64 (*.f64 z (fma.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/64 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z) #s(literal 1/8 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)) #s(literal -1/512 binary64)) z) (fma.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (*.f64 x (/.f64 y z)) #s(literal 1/16 binary64) #s(literal 1/64 binary64))))
(/.f64 (*.f64 (fma.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 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z) #s(literal 1/8 binary64)))
(pow.f64 (*.f64 z (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 z (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 z (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))))
(exp.f64 (log.f64 (*.f64 z (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))) #s(literal 1 binary64)))
(fma.f64 z (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z)) z (*.f64 #s(literal -1/8 binary64) z))
(+.f64 #s(literal 0 binary64) (*.f64 x (/.f64 y z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 y z))) (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 y z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 y z)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 y z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 y z)))))
(-.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 y (*.f64 x (/.f64 #s(literal 1 binary64) 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 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 x (sqrt.f64 z)) (/.f64 y (sqrt.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 #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 (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 z (*.f64 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 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z)))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z)))) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 z (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) z)
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) 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 (*.f64 #s(literal 1/2 binary64) x) y) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z)))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z))))
(exp.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z))) #s(literal 1 binary64)))

simplify132.0ms (4.5%)

Algorithm
1×egg-herbie
Rules
738×cube-prod
716×exp-prod
398×*-commutative
321×associate-/r*
295×cube-div
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02864653
16274561
219784461
362184455
Stop Event
1×node limit
Counts
135 → 146
Calls
Call 1
Inputs
(*.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 #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 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 -1/8 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 0 binary64) (*.f64 z (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))
(+.f64 (*.f64 z (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z))) (*.f64 z #s(literal -1/8 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z)) z) (*.f64 #s(literal -1/8 binary64) z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 z) (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 z (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)) #s(literal -1/512 binary64))) (fma.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (*.f64 x (/.f64 y z)) #s(literal 1/16 binary64) #s(literal 1/64 binary64))))
(/.f64 (*.f64 z (fma.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/64 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z) #s(literal 1/8 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)) #s(literal -1/512 binary64)) z) (fma.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (*.f64 x (/.f64 y z)) #s(literal 1/16 binary64) #s(literal 1/64 binary64))))
(/.f64 (*.f64 (fma.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 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z) #s(literal 1/8 binary64)))
(pow.f64 (*.f64 z (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 z (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 z (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))))
(exp.f64 (log.f64 (*.f64 z (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (fma.f64 x (*.f64 (/.f64 y z) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)))) #s(literal 1 binary64)))
(fma.f64 z (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z)) z (*.f64 #s(literal -1/8 binary64) z))
(+.f64 #s(literal 0 binary64) (*.f64 x (/.f64 y z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 y z))) (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 y z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 y z)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 y z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 y z)))))
(-.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 y (*.f64 x (/.f64 #s(literal 1 binary64) 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 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 x (sqrt.f64 z)) (/.f64 y (sqrt.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 #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 (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 z (*.f64 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 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z)))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z)))) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 z (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) z)
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) 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 (*.f64 #s(literal 1/2 binary64) x) y) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z)))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z))))
(exp.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z))) #s(literal 1 binary64)))
Outputs
(*.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)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x 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 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x 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 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 #s(literal -1/8 binary64) z))
(*.f64 #s(literal -1/8 binary64) z)
(*.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 (*.f64 #s(literal -1/2 binary64) (*.f64 x 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 (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 (*.f64 #s(literal -1/2 binary64) (*.f64 x 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 (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 (*.f64 #s(literal -1/2 binary64) (*.f64 x 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 (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 (*.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 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x 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 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x 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 #s(literal 1/2 binary64) (*.f64 x y)))
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(*.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) x) z))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z))))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z))
(*.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) x) z))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)))
(exp.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z))))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z))
(*.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) x) z))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z))) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 y z))
(*.f64 y (/.f64 (*.f64 #s(literal 1/2 binary64) x) z))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)))

eval41.0ms (1.4%)

Compiler

Compiled 2401 to 1298 computations (45.9% saved)

prune25.0ms (0.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1451146
Fresh000
Picked022
Done011
Total1454149
Accuracy
100.0%
Counts
149 → 4
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)))
✓91.5%
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
▶53.1%
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
✓49.3%
(*.f64 #s(literal -1/8 binary64) z)
Compiler

Compiled 40 to 30 computations (25% saved)

localize30.0ms (1%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓100.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
Compiler

Compiled 15 to 8 computations (46.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
Operation ival-mult, time spent: 4.0ms, 88.0% of total-time
Operation const, time spent: 1.0ms, 22.0% of total-time

series1.0ms (0%)

Counts
1 → 0
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
Outputs
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(* 1/2 (* x y))
0.0ms
x
@inf
(* 1/2 (* x y))
0.0ms
x
@-inf
(* 1/2 (* x y))
0.0ms
y
@-inf
(* 1/2 (* x y))
0.0ms
y
@inf
(* 1/2 (* x y))

rewrite65.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
409×unpow-prod-down
362×log1p-expm1-u
362×expm1-log1p-u
348×add-exp-log
334×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01019
18819
2100719
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y))) (log.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y)))))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y)))) (log.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))))) (sqrt.f64 (log.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))))
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y)))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (log.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))

simplify74.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
669×fma-define
468×fmm-def
408×associate-+r-
300×*-commutative
278×prod-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066549
1115549
2287549
31404549
43195549
54803549
Stop Event
1×node limit
Counts
21 → 29
Calls
Call 1
Inputs
(+.f64 #s(literal 0 binary64) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y))) (log.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y)))))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y)))) (log.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))))) (sqrt.f64 (log.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))))
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y)))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (log.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y))) (log.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y))) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) y))))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y)))) (log.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y)))))
(*.f64 (log.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y)))) #s(literal 2 binary64))
(*.f64 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) y))) #s(literal 2 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(pow.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(pow.f64 (E.f64) (log.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))))) (sqrt.f64 (log.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))) (sqrt.f64 (log.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))))))
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y)))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1/3 binary64)))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))

eval6.0ms (0.2%)

Compiler

Compiled 290 to 187 computations (35.5% saved)

prune62.0ms (2.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New29029
Fresh000
Picked011
Done033
Total29433
Accuracy
100.0%
Counts
33 → 4
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)))
✓91.5%
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
✓53.1%
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
✓49.3%
(*.f64 #s(literal -1/8 binary64) z)
Compiler

Compiled 79 to 54 computations (31.6% saved)

regimes16.0ms (0.5%)

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

3.0ms
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
2.0ms
(/.f64 z #s(literal 8 binary64))
2.0ms
z
2.0ms
x
2.0ms
y
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)

regimes56.0ms (1.9%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(*.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:

42.0ms
(*.f64 x y)
2.0ms
z
2.0ms
x
2.0ms
(/.f64 z #s(literal 8 binary64))
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
2 → 5
Calls
Call 1
Inputs
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
Outputs
(*.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 #s(literal -1/8 binary64) z)
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
Calls

4 calls:

5.0ms
(*.f64 x y)
5.0ms
y
3.0ms
z
3.0ms
x
Results
AccuracySegmentsBranch
80.2%5x
78.1%5y
70.7%3z
88.0%5(*.f64 x y)
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes4.0ms (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:

1.0ms
z
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
49.3%1z
49.3%1y
49.3%1x
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch79.0ms (2.7%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
21.0ms
7.955167172798652e+48
7.044978841233251e+61
21.0ms
2.3894047182302164e-7
4.553994209300977e-6
18.0ms
6.6221943737707026e-96
1.6652767366395157e-89
20.0ms
-3.383912119451922e-95
-1.6392414677696305e-101
Results
67.0ms559×256valid
0.0ms1×256valid
Compiler

Compiled 508 to 434 computations (14.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
Operation ival-div, time spent: 9.0ms, 54.0% of total-time
Operation ival-sub, time spent: 6.0ms, 36.0% of total-time
Operation const, time spent: 1.0ms, 6.0% of total-time

simplify10.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
8×not-or
6×*-commutative
6×if-not
6×not-not
6×if-if-or-not
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
039223
150220
262208
374204
483204
589204
690204
791204
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 (*.f64 x y) #s(literal -634895607656747/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (if (<=.f64 (*.f64 x y) #s(literal 2981548200787093/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312 binary64)) (*.f64 #s(literal -1/8 binary64) z) (if (<=.f64 (*.f64 x y) #s(literal 4722366482869645/9444732965739290427392 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (if (<=.f64 (*.f64 x y) #s(literal 700000000000000037789959937170447516445021838331871232 binary64)) (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))))))
(*.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 (*.f64 x y) #s(literal -634895607656747/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (if (<=.f64 (*.f64 x y) #s(literal 2981548200787093/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312 binary64)) (*.f64 #s(literal -1/8 binary64) z) (if (<=.f64 (*.f64 x y) #s(literal 4722366482869645/9444732965739290427392 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (if (<=.f64 (*.f64 x y) #s(literal 700000000000000037789959937170447516445021838331871232 binary64)) (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))))))
(if (<=.f64 (*.f64 y x) #s(literal -634895607656747/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784 binary64)) (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) (if (<=.f64 (*.f64 y x) #s(literal 2981548200787093/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312 binary64)) (*.f64 z #s(literal -1/8 binary64)) (if (or (<=.f64 (*.f64 y x) #s(literal 4722366482869645/9444732965739290427392 binary64)) (not (<=.f64 (*.f64 y x) #s(literal 700000000000000037789959937170447516445021838331871232 binary64)))) (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))))
(if (<=.f64 (*.f64 y x) #s(literal -634895607656747/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784 binary64)) (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) (if (or (<=.f64 (*.f64 y x) #s(literal 2981548200787093/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312 binary64)) (not (or (<=.f64 (*.f64 y x) #s(literal 4722366482869645/9444732965739290427392 binary64)) (not (<=.f64 (*.f64 y x) #s(literal 700000000000000037789959937170447516445021838331871232 binary64)))))) (*.f64 z #s(literal -1/8 binary64)) (*.f64 (*.f64 y x) #s(literal 1/2 binary64))))
(if (or (<=.f64 (*.f64 y x) #s(literal -634895607656747/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784 binary64)) (not (or (<=.f64 (*.f64 y x) #s(literal 2981548200787093/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312 binary64)) (not (or (<=.f64 (*.f64 y x) #s(literal 4722366482869645/9444732965739290427392 binary64)) (not (<=.f64 (*.f64 y x) #s(literal 700000000000000037789959937170447516445021838331871232 binary64)))))))) (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(if (or (<=.f64 (*.f64 y x) #s(literal -634895607656747/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784 binary64)) (not (or (<=.f64 (*.f64 y x) #s(literal 2981548200787093/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312 binary64)) (and (not (<=.f64 (*.f64 y x) #s(literal 4722366482869645/9444732965739290427392 binary64))) (<=.f64 (*.f64 y x) #s(literal 700000000000000037789959937170447516445021838331871232 binary64)))))) (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 z #s(literal -1/8 binary64))
Compiler

Compiled 66 to 44 computations (33.3% saved)

soundness127.0ms (4.3%)

Rules
661×fma-define
378×fmm-def
82×distribute-lft-neg-in
79×unsub-neg
78×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041398
183342
2171330
3373330
4780330
51446330
62207330
72262330
82268330
92268330
Stop Event
1×saturated
Compiler

Compiled 56 to 38 computations (32.1% saved)

end0.0ms (0%)

preprocess134.0ms (4.5%)

Remove

(sort x y)

Compiler

Compiled 226 to 150 computations (33.6% saved)

Profiling

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