Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, A

Time bar (total: 2.9s)

analyze0.0ms (0%)

Algorithm
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 11 to 8 computations (27.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-sub: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
const: 0.0ms (0% of total)

sample1.2s (39.4%)

Results
651.0ms7174×0valid
104.0ms1082×0infinite
Precisions
Click to see histograms. Total time spent on operations: 214.0ms
ival-mult: 142.0ms (66.4% of total)
ival-sub: 57.0ms (26.6% of total)
const: 11.0ms (5.1% of total)
backward-pass: 4.0ms (1.9% of total)
Bogosity

preprocess93.0ms (3.2%)

Algorithm
egg-herbie
Rules
360×fma-define
206×fma-neg
92×cancel-sign-sub-inv
89×associate-*r*
85×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034332
1103314
2247276
3629276
41120276
51518276
61555276
71560276
81560276
91560276
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 (neg.f64 x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 x (*.f64 (*.f64 (neg.f64 y) #s(literal 4 binary64)) z))
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z)))
(neg.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 y #s(literal 4 binary64)) z)))
(neg.f64 (-.f64 x (*.f64 (*.f64 (neg.f64 y) #s(literal 4 binary64)) z)))
(neg.f64 (-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z))))
(-.f64 y (*.f64 (*.f64 x #s(literal 4 binary64)) z))
(-.f64 z (*.f64 (*.f64 y #s(literal 4 binary64)) x))
(-.f64 x (*.f64 (*.f64 z #s(literal 4 binary64)) y))
Outputs
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(-.f64 (neg.f64 x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) x)
(-.f64 x (*.f64 (*.f64 (neg.f64 y) #s(literal 4 binary64)) z))
(fma.f64 y (*.f64 #s(literal 4 binary64) z) x)
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z)))
(fma.f64 y (*.f64 #s(literal 4 binary64) z) x)
(neg.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 y #s(literal 4 binary64)) z)))
(fma.f64 y (*.f64 #s(literal 4 binary64) z) x)
(neg.f64 (-.f64 x (*.f64 (*.f64 (neg.f64 y) #s(literal 4 binary64)) z)))
(-.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) x)
(neg.f64 (-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z))))
(-.f64 (*.f64 y (*.f64 z #s(literal -4 binary64))) x)
(-.f64 y (*.f64 (*.f64 x #s(literal 4 binary64)) z))
(fma.f64 x (*.f64 z #s(literal -4 binary64)) y)
(-.f64 z (*.f64 (*.f64 y #s(literal 4 binary64)) x))
(fma.f64 x (*.f64 y #s(literal -4 binary64)) z)
(-.f64 x (*.f64 (*.f64 z #s(literal 4 binary64)) y))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
Symmetry

(sort y z)

explain97.0ms (3.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(*.f64 (*.f64 y #s(literal 4 binary64)) z)
00-0-#s(literal 4 binary64)
00-0-z
00-0-(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
00-0-(*.f64 y #s(literal 4 binary64))
00-0-y
Results
53.0ms434×256valid
9.0ms78×256infinite
Compiler

Compiled 56 to 35 computations (37.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 16.0ms (77.5% of total)
ival-sub: 3.0ms (14.5% of total)
const: 1.0ms (4.8% of total)

eval0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

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

Compiled 19 to 13 computations (31.6% saved)

localize62.0ms (2.1%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
100.0%
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Results
40.0ms217×256valid
6.0ms39×256infinite
Compiler

Compiled 36 to 20 computations (44.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 15.0ms (62.3% of total)
composed: 4.0ms (16.6% of total)
ival-sub: 3.0ms (12.5% of total)
ival-add: 1.0ms (4.2% of total)
const: 1.0ms (4.2% of total)

series5.0ms (0.2%)

Counts
1 → 36
Calls
Call 1
Inputs
#<alt (-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))>
Outputs
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (-.f64 x (*.f64 #s(literal 4 binary64) (*.f64 y z)))>
#<alt (-.f64 x (*.f64 #s(literal 4 binary64) (*.f64 y z)))>
#<alt (-.f64 x (*.f64 #s(literal 4 binary64) (*.f64 y z)))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))>
#<alt (*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))>
#<alt (*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -4 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -4 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -4 binary64) z))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))>
#<alt (*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))>
#<alt (*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -4 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -4 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -4 binary64) y))))>
Calls

9 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
(- x (* (* y 4) z))
1.0ms
x
@0
(- x (* (* y 4) z))
0.0ms
z
@inf
(- x (* (* y 4) z))
0.0ms
y
@0
(- x (* (* y 4) z))
0.0ms
y
@inf
(- x (* (* y 4) z))

rewrite301.0ms (10.3%)

Algorithm
batch-egg-rewrite
Rules
761×prod-diff
703×log1p-expm1-u
703×expm1-log1p-u
394×log-prod
240×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01328
114328
2193724
Stop Event
node limit
Counts
1 → 180
Calls
Call 1
Inputs
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Outputs
(+.f64 x (*.f64 z (*.f64 y #s(literal -4 binary64))))
(+.f64 x (*.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 1 binary64)))
(+.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) (fma.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) y (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(+.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) (fma.f64 (*.f64 y #s(literal -4 binary64)) z (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(+.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) (fma.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(+.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(+.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) (fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y z)) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(+.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(+.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) (fma.f64 (neg.f64 y) (*.f64 #s(literal 4 binary64) z) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(+.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) x)
(+.f64 #s(literal 0 binary64) (fma.f64 z (*.f64 y #s(literal -4 binary64)) x))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 y z) #s(literal 4 binary64)))) (fma.f64 (neg.f64 (*.f64 y z)) #s(literal 4 binary64) (*.f64 (*.f64 y z) #s(literal 4 binary64))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) z) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) z)) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) z) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (cbrt.f64 z) (*.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 z) (*.f64 y #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 z) (*.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (cbrt.f64 y) (*.f64 #s(literal 4 binary64) z)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 #s(literal 4 binary64) z))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 y) (*.f64 #s(literal 4 binary64) z)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) z) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) z)) (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) z) (*.f64 (sqrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 4 binary64))) (sqrt.f64 z)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 4 binary64)))) (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 4 binary64))) (sqrt.f64 z))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) (*.f64 #s(literal 4 binary64) z)) (sqrt.f64 y)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 #s(literal 4 binary64) z))) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) (*.f64 #s(literal 4 binary64) z)) (sqrt.f64 y))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (cbrt.f64 z) (*.f64 (*.f64 y #s(literal 4 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 z)) (*.f64 (*.f64 y #s(literal 4 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (*.f64 (cbrt.f64 z) (*.f64 (*.f64 y #s(literal 4 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (sqrt.f64 z) (*.f64 (*.f64 y #s(literal 4 binary64)) (sqrt.f64 z))))) (fma.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (*.f64 y #s(literal 4 binary64)) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 y #s(literal 4 binary64)) (sqrt.f64 z)))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 z y)))) (fma.f64 #s(literal -4 binary64) (*.f64 z y) (*.f64 #s(literal 4 binary64) (*.f64 z y))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) (*.f64 z (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64)))) (*.f64 z (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) (*.f64 z (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) (*.f64 z (*.f64 (sqrt.f64 y) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (*.f64 z (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) (*.f64 z (*.f64 (sqrt.f64 y) #s(literal 2 binary64))))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (*.f64 y z) #s(literal 4 binary64)))) (fma.f64 (neg.f64 (*.f64 y z)) #s(literal 4 binary64) (*.f64 (*.f64 y z) #s(literal 4 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) z) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) z)) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) z) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (*.f64 (cbrt.f64 z) (*.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 z) (*.f64 y #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 z) (*.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (*.f64 (cbrt.f64 y) (*.f64 #s(literal 4 binary64) z)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 #s(literal 4 binary64) z))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 y) (*.f64 #s(literal 4 binary64) z)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) z) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) z)) (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) z) (*.f64 (sqrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 4 binary64))) (sqrt.f64 z)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 4 binary64)))) (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 4 binary64))) (sqrt.f64 z))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) (*.f64 #s(literal 4 binary64) z)) (sqrt.f64 y)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 #s(literal 4 binary64) z))) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) (*.f64 #s(literal 4 binary64) z)) (sqrt.f64 y))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (cbrt.f64 z) (*.f64 (*.f64 y #s(literal 4 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 z)) (*.f64 (*.f64 y #s(literal 4 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (*.f64 (cbrt.f64 z) (*.f64 (*.f64 y #s(literal 4 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (sqrt.f64 z) (*.f64 (*.f64 y #s(literal 4 binary64)) (sqrt.f64 z))))) (fma.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (*.f64 y #s(literal 4 binary64)) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 y #s(literal 4 binary64)) (sqrt.f64 z)))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 z y)))) (fma.f64 #s(literal -4 binary64) (*.f64 z y) (*.f64 #s(literal 4 binary64) (*.f64 z y))))
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(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) x)
(fma.f64 (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)) z x)
(fma.f64 (*.f64 (*.f64 y #s(literal -4 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) x)
(fma.f64 (*.f64 (*.f64 y #s(literal -4 binary64)) (sqrt.f64 z)) (sqrt.f64 z) x)

simplify105.0ms (3.6%)

Algorithm
egg-herbie
Rules
404×times-frac
338×distribute-lft-neg-in
333×cancel-sign-sub-inv
325×fma-neg
312×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04609133
111548469
231937725
Stop Event
node limit
Counts
216 → 200
Calls
Call 1
Inputs
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(-.f64 x (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(-.f64 x (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(-.f64 x (*.f64 #s(literal 4 binary64) (*.f64 y z)))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
x
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -4 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -4 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -4 binary64) z))))
x
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
(*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
(*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -4 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -4 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -4 binary64) y))))
(+.f64 x (*.f64 z (*.f64 y #s(literal -4 binary64))))
(+.f64 x (*.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 1 binary64)))
(+.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) (fma.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) y (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(+.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) (fma.f64 (*.f64 y #s(literal -4 binary64)) z (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(+.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) (fma.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(+.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(+.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) (fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y z)) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(+.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(+.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) (fma.f64 (neg.f64 y) (*.f64 #s(literal 4 binary64) z) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(+.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) x)
(+.f64 #s(literal 0 binary64) (fma.f64 z (*.f64 y #s(literal -4 binary64)) x))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 y z) #s(literal 4 binary64)))) (fma.f64 (neg.f64 (*.f64 y z)) #s(literal 4 binary64) (*.f64 (*.f64 y z) #s(literal 4 binary64))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) z) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) z)) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) z) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (cbrt.f64 z) (*.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 z) (*.f64 y #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 z) (*.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (cbrt.f64 y) (*.f64 #s(literal 4 binary64) z)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 #s(literal 4 binary64) z))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 y) (*.f64 #s(literal 4 binary64) z)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) z) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) z)) (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) z) (*.f64 (sqrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 4 binary64))) (sqrt.f64 z)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 4 binary64)))) (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 4 binary64))) (sqrt.f64 z))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) (*.f64 #s(literal 4 binary64) z)) (sqrt.f64 y)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 #s(literal 4 binary64) z))) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) (*.f64 #s(literal 4 binary64) z)) (sqrt.f64 y))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (cbrt.f64 z) (*.f64 (*.f64 y #s(literal 4 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 z)) (*.f64 (*.f64 y #s(literal 4 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (*.f64 (cbrt.f64 z) (*.f64 (*.f64 y #s(literal 4 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (sqrt.f64 z) (*.f64 (*.f64 y #s(literal 4 binary64)) (sqrt.f64 z))))) (fma.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (*.f64 y #s(literal 4 binary64)) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 y #s(literal 4 binary64)) (sqrt.f64 z)))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 z y)))) (fma.f64 #s(literal -4 binary64) (*.f64 z y) (*.f64 #s(literal 4 binary64) (*.f64 z y))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) (*.f64 z (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64)))) (*.f64 z (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) (*.f64 z (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))))))
(+.f64 (fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) (*.f64 z (*.f64 (sqrt.f64 y) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (*.f64 z (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) (*.f64 z (*.f64 (sqrt.f64 y) #s(literal 2 binary64))))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (*.f64 y z) #s(literal 4 binary64)))) (fma.f64 (neg.f64 (*.f64 y z)) #s(literal 4 binary64) (*.f64 (*.f64 y z) #s(literal 4 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) z) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) z)) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) z) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (*.f64 (cbrt.f64 z) (*.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 z) (*.f64 y #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 z) (*.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (*.f64 (cbrt.f64 y) (*.f64 #s(literal 4 binary64) z)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 #s(literal 4 binary64) z))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 y) (*.f64 #s(literal 4 binary64) z)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) z) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) z)) (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) z) (*.f64 (sqrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 4 binary64))) (sqrt.f64 z)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 4 binary64)))) (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 4 binary64))) (sqrt.f64 z))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) (*.f64 #s(literal 4 binary64) z)) (sqrt.f64 y)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 #s(literal 4 binary64) z))) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) (*.f64 #s(literal 4 binary64) z)) (sqrt.f64 y))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (cbrt.f64 z) (*.f64 (*.f64 y #s(literal 4 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 z)) (*.f64 (*.f64 y #s(literal 4 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (*.f64 (cbrt.f64 z) (*.f64 (*.f64 y #s(literal 4 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (sqrt.f64 z) (*.f64 (*.f64 y #s(literal 4 binary64)) (sqrt.f64 z))))) (fma.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (*.f64 y #s(literal 4 binary64)) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 y #s(literal 4 binary64)) (sqrt.f64 z)))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 z y)))) (fma.f64 #s(literal -4 binary64) (*.f64 z y) (*.f64 #s(literal 4 binary64) (*.f64 z y))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) (*.f64 z (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64)))) (*.f64 z (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) (*.f64 z (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))))))
(+.f64 (fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) (*.f64 z (*.f64 (sqrt.f64 y) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (*.f64 z (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) (*.f64 z (*.f64 (sqrt.f64 y) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 y z) #s(literal 4 binary64)))) (fma.f64 (neg.f64 (*.f64 y z)) #s(literal 4 binary64) (*.f64 (*.f64 y z) #s(literal 4 binary64))))
(+.f64 (fma.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) z) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) z)) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) z) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 (cbrt.f64 z) (*.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 z) (*.f64 y #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 z) (*.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 (cbrt.f64 y) (*.f64 #s(literal 4 binary64) z)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 #s(literal 4 binary64) z))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 y) (*.f64 #s(literal 4 binary64) z)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) z) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) z)) (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) z) (*.f64 (sqrt.f64 y) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 4 binary64))) (sqrt.f64 z)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 4 binary64)))) (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 y #s(literal 4 binary64))) (sqrt.f64 z))))
(+.f64 (fma.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) (*.f64 #s(literal 4 binary64) z)) (sqrt.f64 y)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 #s(literal 4 binary64) z))) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) (*.f64 #s(literal 4 binary64) z)) (sqrt.f64 y))))
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(log.f64 (*.f64 (exp.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (/.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 #s(literal 4 binary64)) (*.f64 y z))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))))))
(cbrt.f64 (pow.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)))
(log1p.f64 (expm1.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)))
(exp.f64 (log.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x))) #s(literal 2 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 z (*.f64 y #s(literal -4 binary64))))
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 1 binary64)))
(fma.f64 y (neg.f64 (*.f64 #s(literal 4 binary64) z)) x)
(fma.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z) x)
(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
(fma.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) #s(literal 1 binary64) (fma.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) y (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) #s(literal 1 binary64) (fma.f64 (*.f64 y #s(literal -4 binary64)) z (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) #s(literal 1 binary64) (fma.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.f64 #s(literal 1 binary64) x (*.f64 z (*.f64 y #s(literal -4 binary64))))
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) (fma.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) y (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) (fma.f64 (*.f64 y #s(literal -4 binary64)) z (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) (fma.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 y #s(literal -4 binary64)) x) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y #s(literal -4 binary64))) x)
(fma.f64 (cbrt.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)) (pow.f64 (cbrt.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) y (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.f64 (cbrt.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)) (pow.f64 (cbrt.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)) #s(literal 2 binary64)) (fma.f64 (*.f64 y #s(literal -4 binary64)) z (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.f64 (cbrt.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)) (pow.f64 (cbrt.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)) #s(literal 2 binary64)) (fma.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.f64 (cbrt.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)) (pow.f64 (cbrt.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)) (fma.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) y (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)) (fma.f64 (*.f64 y #s(literal -4 binary64)) z (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)) (fma.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) x)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 z (*.f64 y #s(literal -4 binary64))))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 z (*.f64 y #s(literal -4 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)) (sqrt.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)) (fma.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) y (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.f64 (sqrt.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)) (sqrt.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)) (fma.f64 (*.f64 y #s(literal -4 binary64)) z (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.f64 (sqrt.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)) (sqrt.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)) (fma.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.f64 (sqrt.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)) (sqrt.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) (neg.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z (*.f64 y #s(literal -4 binary64))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) y (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (*.f64 y #s(literal -4 binary64)) z (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) (fma.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) y (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) (fma.f64 (*.f64 y #s(literal -4 binary64)) z (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) (fma.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(fma.f64 (neg.f64 z) (*.f64 y #s(literal 4 binary64)) x)
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) x)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))) (cbrt.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))) (cbrt.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))) x)
(fma.f64 (sqrt.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))) (sqrt.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))) x)
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y z)) x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (fma.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) y (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (fma.f64 (*.f64 y #s(literal -4 binary64)) z (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (fma.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.f64 (neg.f64 y) (*.f64 #s(literal 4 binary64) z) x)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) x)
(fma.f64 (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)) z x)
(fma.f64 (*.f64 (*.f64 y #s(literal -4 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) x)
(fma.f64 (*.f64 (*.f64 y #s(literal -4 binary64)) (sqrt.f64 z)) (sqrt.f64 z) x)
Outputs
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(-.f64 x (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(-.f64 x (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(-.f64 x (*.f64 #s(literal 4 binary64) (*.f64 y z)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z x)) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z x)) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z x)) #s(literal 1 binary64)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 x (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z x)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 x (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z x)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 x (fma.f64 #s(literal -4 binary64) (*.f64 y (/.f64 z x)) #s(literal 1 binary64)))
x
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 y (-.f64 (/.f64 x y) (*.f64 z #s(literal 4 binary64))))
(*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 y (-.f64 (/.f64 x y) (*.f64 z #s(literal 4 binary64))))
(*.f64 y (-.f64 (/.f64 x y) (*.f64 #s(literal 4 binary64) z)))
(*.f64 y (-.f64 (/.f64 x y) (*.f64 z #s(literal 4 binary64))))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -4 binary64) z))))
(*.f64 y (-.f64 (/.f64 x y) (*.f64 z #s(literal 4 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -4 binary64) z))))
(*.f64 y (-.f64 (/.f64 x y) (*.f64 z #s(literal 4 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal -4 binary64) z))))
(*.f64 y (-.f64 (/.f64 x y) (*.f64 z #s(literal 4 binary64))))
x
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
(*.f64 z (+.f64 (/.f64 x z) (*.f64 #s(literal -4 binary64) y)))
(*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
(*.f64 z (+.f64 (/.f64 x z) (*.f64 #s(literal -4 binary64) y)))
(*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
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(fma.f64 (sqrt.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)) (sqrt.f64 (fma.f64 z (*.f64 y #s(literal -4 binary64)) x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(fma.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) (neg.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z (*.f64 y #s(literal -4 binary64))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) y (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal -64 binary64))) (fma.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) (fma.f64 y (*.f64 z #s(literal 4 binary64)) x) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (*.f64 y #s(literal -4 binary64)) z (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal -64 binary64))) (fma.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) (fma.f64 y (*.f64 z #s(literal 4 binary64)) x) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal -64 binary64))) (fma.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) (fma.f64 y (*.f64 z #s(literal 4 binary64)) x) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal -64 binary64))) (fma.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) (fma.f64 y (*.f64 z #s(literal 4 binary64)) x) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) (fma.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) y (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 y (*.f64 z #s(literal 4 binary64)) x))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) (fma.f64 (*.f64 y #s(literal -4 binary64)) z (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 y (*.f64 z #s(literal 4 binary64)) x))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) (fma.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 y (*.f64 z #s(literal 4 binary64)) x))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 #s(literal 4 binary64) z) x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 y (*.f64 z #s(literal 4 binary64)) x))
(fma.f64 (*.f64 y #s(literal -4 binary64)) z x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(fma.f64 (neg.f64 z) (*.f64 y #s(literal 4 binary64)) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))) (cbrt.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))))) (cbrt.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(fma.f64 (sqrt.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))) (sqrt.f64 (*.f64 z (*.f64 y #s(literal -4 binary64)))) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y z)) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (fma.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) y (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))))) #s(literal 0 binary64))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (fma.f64 (*.f64 y #s(literal -4 binary64)) z (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))))) #s(literal 0 binary64))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (fma.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))))) #s(literal 0 binary64))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z)))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y z))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y (*.f64 z #s(literal 4 binary64))))) #s(literal 0 binary64))
(fma.f64 (neg.f64 y) (*.f64 #s(literal 4 binary64) z) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 y z))) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(fma.f64 (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)) z x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(fma.f64 (*.f64 (*.f64 y #s(literal -4 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(fma.f64 (*.f64 (*.f64 y #s(literal -4 binary64)) (sqrt.f64 z)) (sqrt.f64 z) x)
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)

eval96.0ms (3.3%)

Compiler

Compiled 4724 to 2798 computations (40.8% saved)

prune32.0ms (1.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1973200
Fresh000
Picked022
Done000
Total1975202
Accuracy
100.0%
Counts
202 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
100.0%
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
87.1%
(*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
53.3%
(*.f64 #s(literal -4 binary64) (*.f64 y z))
47.8%
x
Compiler

Compiled 43 to 30 computations (30.2% saved)

localize55.0ms (1.9%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
100.0%
(-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y))
87.1%
(*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
100.0%
(*.f64 #s(literal -4 binary64) (*.f64 y z))
Results
40.0ms256×256valid
Compiler

Compiled 42 to 19 computations (54.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 10.0ms (59.2% of total)
ival-div: 3.0ms (17.8% of total)
ival-sub: 3.0ms (17.8% of total)
const: 1.0ms (5.9% of total)

series13.0ms (0.5%)

Counts
3 → 63
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))>
#<alt (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y))>
Outputs
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))>
#<alt (*.f64 #s(literal -4 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (/.f64 x z)>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z)))>
#<alt (/.f64 x z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))))>
#<alt (/.f64 x z)>
#<alt (/.f64 (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z))) z)>
#<alt (/.f64 (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z))) z)>
#<alt (/.f64 (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z))) z)>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (/.f64 x z)>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z))>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (*.f64 y (-.f64 (/.f64 x (*.f64 y z)) #s(literal 4 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 x (*.f64 y z)) #s(literal 4 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 x (*.f64 y z)) #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal -4 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))))))>
Calls

24 calls:

TimeVariablePointExpression
3.0ms
y
@inf
(* z (- (/ x z) (* 4 y)))
1.0ms
z
@0
(* -4 (* y z))
1.0ms
z
@-inf
(* z (- (/ x z) (* 4 y)))
1.0ms
z
@0
(* z (- (/ x z) (* 4 y)))
1.0ms
y
@0
(* z (- (/ x z) (* 4 y)))

rewrite133.0ms (4.6%)

Algorithm
batch-egg-rewrite
Rules
658×log1p-expm1-u
658×expm1-log1p-u
598×log-prod
285×fma-define
194×pow-to-exp
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01784
120984
2287776
Stop Event
node limit
Counts
3 → 217
Calls
Call 1
Inputs
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
(-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) (*.f64 y z))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) (*.f64 y z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) (*.f64 y z)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) (*.f64 y z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) (*.f64 y z)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)))) #s(literal 1 binary64))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (*.f64 z #s(literal -4 binary64)))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 (*.f64 y z) #s(literal -4 binary64))
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(fma.f64 x (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal -4 binary64) y))
(fma.f64 x (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(fma.f64 (/.f64 x z) #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) y))
(fma.f64 (/.f64 x z) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(fma.f64 #s(literal 4 binary64) (neg.f64 y) (/.f64 x z))
(fma.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z)) #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) y (*.f64 y #s(literal 4 binary64))))
(fma.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z)) #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64) (*.f64 y #s(literal 4 binary64))))
(fma.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z)) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 y #s(literal 4 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 x z) (*.f64 #s(literal -4 binary64) y))
(fma.f64 #s(literal 1 binary64) (/.f64 x z) (*.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) y (/.f64 x z)) (fma.f64 #s(literal -4 binary64) y (*.f64 y #s(literal 4 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) y (/.f64 x z)) (fma.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64) (*.f64 y #s(literal 4 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) y (/.f64 x z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 y #s(literal 4 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) y) (/.f64 x z))
(fma.f64 (cbrt.f64 (/.f64 x z)) (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) y))
(fma.f64 (cbrt.f64 (/.f64 x z)) (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x z)) (*.f64 #s(literal -4 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x z)) (*.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z))) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) y (*.f64 y #s(literal 4 binary64))))
(fma.f64 (cbrt.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z))) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64) (*.f64 y #s(literal 4 binary64))))
(fma.f64 (cbrt.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 y #s(literal 4 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z))) (fma.f64 #s(literal -4 binary64) y (*.f64 y #s(literal 4 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z))) (fma.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64) (*.f64 y #s(literal 4 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 y #s(literal 4 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64)))) (/.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) z) (*.f64 #s(literal -4 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) z) (*.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -4 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)) (*.f64 #s(literal -4 binary64) y))
(fma.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)) (*.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z))) (sqrt.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z))) (fma.f64 #s(literal -4 binary64) y (*.f64 y #s(literal 4 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z))) (sqrt.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z))) (fma.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64) (*.f64 y #s(literal 4 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z))) (sqrt.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 y #s(literal 4 binary64))))
(fma.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (/.f64 x z))
(fma.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) z) (*.f64 #s(literal -4 binary64) y))
(fma.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) z) (*.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -4 binary64) y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 z)) (*.f64 #s(literal -4 binary64) y))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 z)) (*.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y #s(literal 4 binary64)) (fma.f64 y #s(literal 4 binary64) (/.f64 x z)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (fma.f64 #s(literal -4 binary64) y (*.f64 y #s(literal 4 binary64))))
(fma.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y #s(literal 4 binary64)) (fma.f64 y #s(literal 4 binary64) (/.f64 x z)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64) (*.f64 y #s(literal 4 binary64))))
(fma.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y #s(literal 4 binary64)) (fma.f64 y #s(literal 4 binary64) (/.f64 x z)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 y #s(literal 4 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) z) x (*.f64 #s(literal -4 binary64) y))
(fma.f64 (/.f64 #s(literal 1 binary64) z) x (*.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 4 binary64) (/.f64 x z))) (fma.f64 #s(literal -4 binary64) y (*.f64 y #s(literal 4 binary64))))
(fma.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 4 binary64) (/.f64 x z))) (fma.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64) (*.f64 y #s(literal 4 binary64))))
(fma.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 4 binary64) (/.f64 x z))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 y #s(literal 4 binary64))))
(fma.f64 (neg.f64 y) #s(literal 4 binary64) (/.f64 x z))
(fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) (/.f64 x z))
(fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal 4 binary64)) (/.f64 x z))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 #s(literal -4 binary64) y)) (cbrt.f64 (*.f64 #s(literal -4 binary64) y))) (cbrt.f64 (*.f64 #s(literal -4 binary64) y)) (/.f64 x z))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) y)) (sqrt.f64 (*.f64 #s(literal -4 binary64) y)) (/.f64 x z))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)) (*.f64 #s(literal -4 binary64) y))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)) (*.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)) (*.f64 #s(literal -4 binary64) y))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)) (*.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) z) (*.f64 #s(literal -4 binary64) y))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) z) (*.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x z)) (*.f64 #s(literal -4 binary64) y))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x z)) (*.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 x) (sqrt.f64 z)) (*.f64 #s(literal -4 binary64) y))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 x) (sqrt.f64 z)) (*.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(fma.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) z) (*.f64 #s(literal -4 binary64) y))
(fma.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) z) (*.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 z)) (*.f64 #s(literal -4 binary64) y))
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 z)) (*.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (-.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) y (*.f64 y #s(literal 4 binary64))))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (-.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64) (*.f64 y #s(literal 4 binary64))))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (-.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 y #s(literal 4 binary64))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y #s(literal 4 binary64))) (/.f64 x z))
(fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (/.f64 x z))
(fma.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 y)) (sqrt.f64 y) (/.f64 x z))

simplify146.0ms (5%)

Algorithm
egg-herbie
Rules
530×times-frac
416×exp-prod
256×associate-/l*
227×prod-exp
209×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04859255
110248894
230508825
375318825
Stop Event
node limit
Counts
280 → 250
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
x
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))
(*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 x y)))
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) z))))
(*.f64 #s(literal -4 binary64) y)
(/.f64 x z)
(*.f64 x (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 x (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z)))
(/.f64 x z)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) z))))
(/.f64 x z)
(/.f64 (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z))) z)
(/.f64 (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z))) z)
(/.f64 (+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z))) z)
(*.f64 #s(literal -4 binary64) y)
(*.f64 #s(literal -4 binary64) y)
(/.f64 x z)
(+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z))
(+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z))
(+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z))
(*.f64 #s(literal -4 binary64) y)
(*.f64 y (-.f64 (/.f64 x (*.f64 y z)) #s(literal 4 binary64)))
(*.f64 y (-.f64 (/.f64 x (*.f64 y z)) #s(literal 4 binary64)))
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(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x z))) (pow.f64 (exp.f64 #s(literal 4 binary64)) y)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x z))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 4 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z))))
(exp.f64 (log.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z)))) #s(literal 2 binary64)))
(fma.f64 #s(literal -4 binary64) y (/.f64 x z))
(fma.f64 y #s(literal -4 binary64) (/.f64 x z))
(fma.f64 x (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal -4 binary64) y))
(fma.f64 x (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(fma.f64 (/.f64 x z) #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) y))
(fma.f64 (/.f64 x z) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(fma.f64 #s(literal 4 binary64) (neg.f64 y) (/.f64 x z))
(fma.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z)) #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) y (*.f64 y #s(literal 4 binary64))))
(fma.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z)) #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64) (*.f64 y #s(literal 4 binary64))))
(fma.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z)) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 y #s(literal 4 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 x z) (*.f64 #s(literal -4 binary64) y))
(fma.f64 #s(literal 1 binary64) (/.f64 x z) (*.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) y (/.f64 x z)) (fma.f64 #s(literal -4 binary64) y (*.f64 y #s(literal 4 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) y (/.f64 x z)) (fma.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64) (*.f64 y #s(literal 4 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) y (/.f64 x z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 y #s(literal 4 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) y) (/.f64 x z))
(fma.f64 (cbrt.f64 (/.f64 x z)) (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) y))
(fma.f64 (cbrt.f64 (/.f64 x z)) (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x z)) (*.f64 #s(literal -4 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x z)) (*.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z))) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) y (*.f64 y #s(literal 4 binary64))))
(fma.f64 (cbrt.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z))) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64) (*.f64 y #s(literal 4 binary64))))
(fma.f64 (cbrt.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 y #s(literal 4 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z))) (fma.f64 #s(literal -4 binary64) y (*.f64 y #s(literal 4 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z))) (fma.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64) (*.f64 y #s(literal 4 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 y #s(literal 4 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64)))) (/.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) z) (*.f64 #s(literal -4 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) z) (*.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -4 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)) (*.f64 #s(literal -4 binary64) y))
(fma.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)) (*.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z))) (sqrt.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z))) (fma.f64 #s(literal -4 binary64) y (*.f64 y #s(literal 4 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z))) (sqrt.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z))) (fma.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64) (*.f64 y #s(literal 4 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z))) (sqrt.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 x z))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 y #s(literal 4 binary64))))
(fma.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (/.f64 x z))
(fma.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) z) (*.f64 #s(literal -4 binary64) y))
(fma.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) z) (*.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -4 binary64) y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 z)) (*.f64 #s(literal -4 binary64) y))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 z)) (*.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y #s(literal 4 binary64)) (fma.f64 y #s(literal 4 binary64) (/.f64 x z)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (fma.f64 #s(literal -4 binary64) y (*.f64 y #s(literal 4 binary64))))
(fma.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y #s(literal 4 binary64)) (fma.f64 y #s(literal 4 binary64) (/.f64 x z)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64) (*.f64 y #s(literal 4 binary64))))
(fma.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y #s(literal 4 binary64)) (fma.f64 y #s(literal 4 binary64) (/.f64 x z)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 y #s(literal 4 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) z) x (*.f64 #s(literal -4 binary64) y))
(fma.f64 (/.f64 #s(literal 1 binary64) z) x (*.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 4 binary64) (/.f64 x z))) (fma.f64 #s(literal -4 binary64) y (*.f64 y #s(literal 4 binary64))))
(fma.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 4 binary64) (/.f64 x z))) (fma.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64) (*.f64 y #s(literal 4 binary64))))
(fma.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 4 binary64) (/.f64 x z))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 y #s(literal 4 binary64))))
(fma.f64 (neg.f64 y) #s(literal 4 binary64) (/.f64 x z))
(fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) (/.f64 x z))
(fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal 4 binary64)) (/.f64 x z))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 #s(literal -4 binary64) y)) (cbrt.f64 (*.f64 #s(literal -4 binary64) y))) (cbrt.f64 (*.f64 #s(literal -4 binary64) y)) (/.f64 x z))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) y)) (sqrt.f64 (*.f64 #s(literal -4 binary64) y)) (/.f64 x z))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)) (*.f64 #s(literal -4 binary64) y))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 z)) (*.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)) (*.f64 #s(literal -4 binary64) y))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)) (*.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) z) (*.f64 #s(literal -4 binary64) y))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) z) (*.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x z)) (*.f64 #s(literal -4 binary64) y))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x z)) (*.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 x) (sqrt.f64 z)) (*.f64 #s(literal -4 binary64) y))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 x) (sqrt.f64 z)) (*.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(fma.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) z) (*.f64 #s(literal -4 binary64) y))
(fma.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) z) (*.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 z)) (*.f64 #s(literal -4 binary64) y))
(fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 z)) (*.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (-.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) y (*.f64 y #s(literal 4 binary64))))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (-.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64) (*.f64 y #s(literal 4 binary64))))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (-.f64 (sqrt.f64 (/.f64 x z)) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 y #s(literal 4 binary64))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y #s(literal 4 binary64))) (/.f64 x z))
(fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (/.f64 x z))
(fma.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 y)) (sqrt.f64 y) (/.f64 x z))
Outputs
x
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(*.f64 z (+.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 x z)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal 4 binary64) y))))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
(fma.f64 #s(literal -4 binary64) (*.f64 y z) x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (fma.f64 #s(literal -4 binary64) (*.f64 z (/.f64 y x)) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (fma.f64 #s(literal -4 binary64) (*.f64 z (/.f64 y x)) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x (fma.f64 #s(literal -4 binary64) (*.f64 z (/.f64 y x)) #s(literal 1 binary64)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 x (fma.f64 #s(literal -4 binary64) (*.f64 z (/.f64 y x)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 x (fma.f64 #s(literal -4 binary64) (*.f64 z (/.f64 y x)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
(*.f64 x (fma.f64 #s(literal -4 binary64) (*.f64 z (/.f64 y x)) #s(literal 1 binary64)))
x
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y z)))
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(/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (fma.f64 (*.f64 y #s(literal 4 binary64)) (fma.f64 y #s(literal 4 binary64) (/.f64 x z)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) z) x (*.f64 #s(literal -4 binary64) y))
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(/.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -16 binary64))) (fma.f64 y #s(literal 4 binary64) (/.f64 x z)))
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(/.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -16 binary64))) (fma.f64 y #s(literal 4 binary64) (/.f64 x z)))
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(fma.f64 #s(literal -4 binary64) y (/.f64 x z))
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eval82.0ms (2.8%)

Compiler

Compiled 3850 to 2102 computations (45.4% saved)

prune220.0ms (7.5%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New2500250
Fresh000
Picked033
Done022
Total2505255
Accuracy
100.0%
Counts
255 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
100.0%
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
87.1%
(*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
53.3%
(*.f64 #s(literal -4 binary64) (*.f64 y z))
47.8%
x
Compiler

Compiled 74 to 48 computations (35.1% saved)

regimes15.0ms (0.5%)

Counts
5 → 1
Calls
Call 1
Inputs
x
(*.f64 #s(literal -4 binary64) (*.f64 y z))
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(*.f64 z (-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
Outputs
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
Calls

6 calls:

4.0ms
z
2.0ms
(*.f64 y #s(literal 4 binary64))
2.0ms
y
2.0ms
x
2.0ms
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
100.0%1(*.f64 (*.f64 y #s(literal 4 binary64)) z)
100.0%1(*.f64 y #s(literal 4 binary64))
Compiler

Compiled 36 to 27 computations (25% saved)

regimes27.0ms (0.9%)

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

6 calls:

17.0ms
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
2.0ms
(*.f64 y #s(literal 4 binary64))
2.0ms
z
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
100.0%1(*.f64 (*.f64 y #s(literal 4 binary64)) z)
100.0%1(*.f64 y #s(literal 4 binary64))
Compiler

Compiled 36 to 27 computations (25% saved)

regimes87.0ms (3%)

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

3 calls:

80.0ms
y
4.0ms
x
3.0ms
z
Results
AccuracySegmentsBranch
73.9%5x
72.5%3y
72.3%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

3 calls:

0.0ms
y
0.0ms
x
0.0ms
z
Results
AccuracySegmentsBranch
47.8%1x
47.8%1z
47.8%1y
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch43.0ms (1.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
28.0ms
6.099979700303719e-54
8.031386815521421e-29
13.0ms
-2.89489653689359e+34
-3.60317459840019e+32
Results
30.0ms285×0valid
0.0ms0infinite
Compiler

Compiled 268 to 210 computations (21.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 13.0ms (84.8% of total)
ival-sub: 2.0ms (13% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify4.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
028110
144110
262110
372110
480110
583110
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(if (<=.f64 y #s(literal -3299999999999999762752187026898944 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 y z)) (if (<=.f64 y #s(literal 4906163943676737/89202980794122492566142873090593446023921664 binary64)) x (*.f64 #s(literal -4 binary64) (*.f64 y z))))
x
Outputs
(fma.f64 y (*.f64 z #s(literal -4 binary64)) x)
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 x (*.f64 z (*.f64 y #s(literal 4 binary64))))
(if (<=.f64 y #s(literal -3299999999999999762752187026898944 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 y z)) (if (<=.f64 y #s(literal 4906163943676737/89202980794122492566142873090593446023921664 binary64)) x (*.f64 #s(literal -4 binary64) (*.f64 y z))))
(if (or (<=.f64 y #s(literal -3299999999999999762752187026898944 binary64)) (not (<=.f64 y #s(literal 4906163943676737/89202980794122492566142873090593446023921664 binary64)))) (*.f64 #s(literal -4 binary64) (*.f64 y z)) x)
x

soundness106.0ms (3.6%)

Rules
360×fma-define
206×fma-neg
92×cancel-sign-sub-inv
89×associate-*r*
85×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034332
1103314
2247276
3629276
41120276
51518276
61555276
71560276
81560276
91560276
Stop Event
done
saturated
Compiler

Compiled 110 to 66 computations (40% saved)

preprocess43.0ms (1.5%)

Remove

(sort y z)

Compiler

Compiled 156 to 102 computations (34.6% saved)

end0.0ms (0%)

Profiling

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