Diagrams.ThreeD.Shapes:frustum from diagrams-lib-1.3.0.3, B

Time bar (total: 4.8s)

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 7 computations (36.4% saved)

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

sample977.0ms (20.4%)

Results
757.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 321.0ms
ival-mult: 132.0ms (41.2% of total)
ival-add: 106.0ms (33.1% of total)
ival-sub: 73.0ms (22.8% of total)
const: 7.0ms (2.2% of total)
backward-pass: 2.0ms (0.6% of total)
Bogosity

preprocess189.0ms (3.9%)

Algorithm
egg-herbie
Rules
1175×fma-neg
316×fma-define
241×distribute-rgt-in
184×unsub-neg
170×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036377
178321
2237317
3843317
41876317
53201317
63496317
73528317
83528317
94163317
104163317
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 x (*.f64 (-.f64 y x) z))
(+.f64 x (*.f64 (-.f64 y x) z))
(+.f64 (neg.f64 x) (*.f64 (-.f64 y (neg.f64 x)) z))
(+.f64 x (*.f64 (-.f64 (neg.f64 y) x) z))
(+.f64 x (*.f64 (-.f64 y x) (neg.f64 z)))
(neg.f64 (+.f64 (neg.f64 x) (*.f64 (-.f64 y (neg.f64 x)) z)))
(neg.f64 (+.f64 x (*.f64 (-.f64 (neg.f64 y) x) z)))
(neg.f64 (+.f64 x (*.f64 (-.f64 y x) (neg.f64 z))))
(+.f64 y (*.f64 (-.f64 x y) z))
(+.f64 z (*.f64 (-.f64 y z) x))
(+.f64 x (*.f64 (-.f64 z x) y))
Outputs
(+.f64 x (*.f64 (-.f64 y x) z))
(fma.f64 (-.f64 y x) z x)
(+.f64 x (*.f64 (-.f64 y x) z))
(fma.f64 (-.f64 y x) z x)
(+.f64 (neg.f64 x) (*.f64 (-.f64 y (neg.f64 x)) z))
(+.f64 (neg.f64 x) (*.f64 z (-.f64 y (neg.f64 x))))
(-.f64 (*.f64 z (+.f64 x y)) x)
(fma.f64 z (+.f64 x y) (neg.f64 x))
(+.f64 x (*.f64 (-.f64 (neg.f64 y) x) z))
(+.f64 x (*.f64 z (-.f64 (neg.f64 y) x)))
(-.f64 x (*.f64 z (+.f64 x y)))
(fma.f64 z (-.f64 (neg.f64 x) y) x)
(fma.f64 z (-.f64 (neg.f64 y) x) x)
(+.f64 x (*.f64 (-.f64 y x) (neg.f64 z)))
(-.f64 x (*.f64 (-.f64 y x) z))
(fma.f64 z (-.f64 x y) x)
(neg.f64 (+.f64 (neg.f64 x) (*.f64 (-.f64 y (neg.f64 x)) z)))
(+.f64 x (*.f64 z (-.f64 (neg.f64 y) x)))
(-.f64 x (*.f64 z (+.f64 x y)))
(fma.f64 z (-.f64 (neg.f64 x) y) x)
(fma.f64 z (-.f64 (neg.f64 y) x) x)
(neg.f64 (+.f64 x (*.f64 (-.f64 (neg.f64 y) x) z)))
(+.f64 (neg.f64 x) (*.f64 z (-.f64 y (neg.f64 x))))
(-.f64 (*.f64 z (+.f64 x y)) x)
(fma.f64 z (+.f64 x y) (neg.f64 x))
(neg.f64 (+.f64 x (*.f64 (-.f64 y x) (neg.f64 z))))
(-.f64 (*.f64 (-.f64 y x) z) x)
(fma.f64 (-.f64 y x) z (neg.f64 x))
(neg.f64 (fma.f64 z (-.f64 x y) x))
(+.f64 y (*.f64 (-.f64 x y) z))
(+.f64 y (*.f64 z (-.f64 x y)))
(fma.f64 z (-.f64 x y) y)
(+.f64 z (*.f64 (-.f64 y z) x))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(+.f64 x (*.f64 (-.f64 z x) y))
(+.f64 x (*.f64 y (-.f64 z x)))
(fma.f64 y (-.f64 z x) x)

explain86.0ms (1.8%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-z
00-0-(+.f64 x (*.f64 (-.f64 y x) z))
00-0-(*.f64 (-.f64 y x) z)
00-0-y
00-0-(-.f64 y x)
Results
33.0ms512×0valid
Compiler

Compiled 54 to 20 computations (63% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-sub: 4.0ms (34.1% of total)
ival-mult: 4.0ms (34.1% of total)
ival-add: 3.0ms (25.6% of total)
const: 1.0ms (8.5% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 9 to 5 computations (44.4% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (-.f64 y x) z x)
100.0%
(+.f64 x (*.f64 (-.f64 y x) z))
Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify43.0ms (0.9%)

Algorithm
egg-herbie
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 y x)
cost-diff0
(fma.f64 (-.f64 y x) z x)
cost-diff-6272
(+.f64 x (*.f64 (-.f64 y x) z))
cost-diff0
(-.f64 y x)
cost-diff0
(*.f64 (-.f64 y x) z)
Rules
277×fma-define
247×fma-neg
52×cancel-sign-sub-inv
48×distribute-rgt-in
44×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014126
119126
231126
359126
4107126
5181126
6293126
7489126
8883126
91114126
101214126
111221126
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 x (*.f64 (-.f64 y x) z))
x
(*.f64 (-.f64 y x) z)
(-.f64 y x)
y
z
(fma.f64 (-.f64 y x) z x)
(-.f64 y x)
y
x
z
Outputs
(+.f64 x (*.f64 (-.f64 y x) z))
(fma.f64 (-.f64 y x) z x)
x
(*.f64 (-.f64 y x) z)
(-.f64 y x)
y
z
(fma.f64 (-.f64 y x) z x)
(-.f64 y x)
y
x
z

localize116.0ms (2.4%)

Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 y x)
accuracy100.0%
(fma.f64 (-.f64 y x) z x)
accuracy100.0%
(-.f64 y x)
accuracy100.0%
(+.f64 x (*.f64 (-.f64 y x) z))
accuracy100.0%
(*.f64 (-.f64 y x) z)
Results
89.0ms256×0valid
Compiler

Compiled 34 to 8 computations (76.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-fma: 3.0ms (36.4% of total)
ival-sub: 2.0ms (24.2% of total)
ival-mult: 2.0ms (24.2% of total)
ival-add: 1.0ms (12.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series63.0ms (1.3%)

Counts
4 → 129
Calls
Call 1
Inputs
#<alt (*.f64 (-.f64 y x) z)>
#<alt (-.f64 y x)>
#<alt (+.f64 x (*.f64 (-.f64 y x) z))>
#<alt (fma.f64 (-.f64 y x) z x)>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))>
#<alt (*.f64 y z)>
#<alt (*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y z)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 z (-.f64 y x))>
#<alt (*.f64 z (-.f64 y x))>
#<alt (*.f64 z (-.f64 y x))>
#<alt (*.f64 z (-.f64 y x))>
#<alt (*.f64 z (-.f64 y x))>
#<alt (*.f64 z (-.f64 y x))>
#<alt (*.f64 z (-.f64 y x))>
#<alt (*.f64 z (-.f64 y x))>
#<alt (*.f64 z (-.f64 y x))>
#<alt (*.f64 z (-.f64 y x))>
#<alt (*.f64 z (-.f64 y x))>
#<alt (*.f64 z (-.f64 y x))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))>
#<alt y>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) x))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 y z)>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))) (*.f64 y z))>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))) (*.f64 y z))>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))) (*.f64 y z))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 z #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z)))>
#<alt (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z)))>
#<alt (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z)))>
#<alt (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z)))>
#<alt (*.f64 y z)>
#<alt (*.f64 y (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 x y))))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z))) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z))) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z))) y)))))>
#<alt x>
#<alt (+.f64 x (*.f64 z (-.f64 y x)))>
#<alt (+.f64 x (*.f64 z (-.f64 y x)))>
#<alt (+.f64 x (*.f64 z (-.f64 y x)))>
#<alt (*.f64 z (-.f64 y x))>
#<alt (*.f64 z (-.f64 (+.f64 y (/.f64 x z)) x))>
#<alt (*.f64 z (-.f64 (+.f64 y (/.f64 x z)) x))>
#<alt (*.f64 z (-.f64 (+.f64 y (/.f64 x z)) x))>
#<alt (*.f64 z (-.f64 y x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y x)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y x)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y x)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z)))>
#<alt (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z)))>
#<alt (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z)))>
#<alt (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z)))>
#<alt (*.f64 y z)>
#<alt (*.f64 y (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 x y))))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z))) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z))) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z))) y)))))>
#<alt (*.f64 y z)>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))) (*.f64 y z))>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))) (*.f64 y z))>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))) (*.f64 y z))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 z #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 z (-.f64 y x)))>
#<alt (+.f64 x (*.f64 z (-.f64 y x)))>
#<alt (+.f64 x (*.f64 z (-.f64 y x)))>
#<alt (*.f64 z (-.f64 y x))>
#<alt (*.f64 z (-.f64 (+.f64 y (/.f64 x z)) x))>
#<alt (*.f64 z (-.f64 (+.f64 y (/.f64 x z)) x))>
#<alt (*.f64 z (-.f64 (+.f64 y (/.f64 x z)) x))>
#<alt (*.f64 z (-.f64 y x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y x)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y x)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y x)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
Calls

33 calls:

TimeVariablePointExpression
51.0ms
y
@-inf
(+ x (* (- y x) z))
1.0ms
z
@inf
(+ x (* (- y x) z))
1.0ms
y
@-inf
(* (- y x) z)
1.0ms
y
@inf
(* (- y x) z)
1.0ms
x
@-inf
(* (- y x) z)

rewrite274.0ms (5.7%)

Algorithm
batch-egg-rewrite
Rules
807×log1p-expm1-u
807×expm1-log1p-u
654×unpow-prod-down
367×log-prod
362×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01489
116889
2215389
Stop Event
node limit
Counts
4 → 278
Calls
Call 1
Inputs
(*.f64 (-.f64 y x) z)
(-.f64 y x)
(+.f64 x (*.f64 (-.f64 y x) z))
(fma.f64 (-.f64 y x) z x)
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 (-.f64 y x) z))
(+.f64 (*.f64 z y) (*.f64 z (neg.f64 x)))
(+.f64 (*.f64 y z) (*.f64 (neg.f64 x) z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 y x)) z)) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 y x)) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 y x)) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 y x)) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 y x)) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 y x) z))) #s(literal 1 binary64))
(/.f64 (*.f64 z (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 z (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 y x))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) z) (+.f64 y x))
(pow.f64 (*.f64 (-.f64 y x) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 y x) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 y x) z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 y x) z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (-.f64 y x)) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 y x) z))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 y x) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 y x) z)))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 y x) z)))
(exp.f64 (log.f64 (*.f64 (-.f64 y x) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 y x) z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 y x) z))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 (-.f64 y x) z))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 y x) z))) #s(literal 2 binary64)))
(fma.f64 y z (*.f64 (neg.f64 x) z))
(fma.f64 z y (*.f64 z (neg.f64 x)))
(+.f64 y (neg.f64 x))
(+.f64 y (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(+.f64 (-.f64 y x) (+.f64 (neg.f64 x) x))
(+.f64 (neg.f64 x) y)
(+.f64 #s(literal 0 binary64) (-.f64 y x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 y x))) (cbrt.f64 (exp.f64 (-.f64 y x))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 y x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 y x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 y x)))))
(*.f64 (-.f64 y x) #s(literal 1 binary64))
(*.f64 (-.f64 y x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (-.f64 y x))
(*.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 y x))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64)))
(*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (-.f64 y x))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) #s(literal 1 binary64)) (pow.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 y x))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 y x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) (cbrt.f64 (cbrt.f64 (-.f64 y x)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (-.f64 y x)))
(*.f64 (pow.f64 (*.f64 (-.f64 y x) (sqrt.f64 (-.f64 y x))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (-.f64 y x) (sqrt.f64 (-.f64 y x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (sqrt.f64 (-.f64 y x))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 y x))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 y x))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 y x))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (+.f64 y x)))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 y (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 y (neg.f64 x)))
(pow.f64 (-.f64 y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 y x) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 y x))))
(log.f64 (*.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (exp.f64 (neg.f64 x))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 y)))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 y)))
(log.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (/.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (exp.f64 x)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 y x)))
(log1p.f64 (expm1.f64 (-.f64 y x)))
(exp.f64 (log.f64 (-.f64 y x)))
(exp.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (-.f64 y x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 2 binary64)))
(fma.f64 y #s(literal 1 binary64) (neg.f64 x))
(fma.f64 y #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (-.f64 y x) #s(literal 1 binary64) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (-.f64 y x) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (-.f64 y x) #s(literal 1 binary64) (+.f64 (neg.f64 x) x))
(fma.f64 #s(literal 1 binary64) y (neg.f64 x))
(fma.f64 #s(literal 1 binary64) y (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 y x) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (-.f64 y x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 #s(literal 1 binary64) (-.f64 y x) (+.f64 (neg.f64 x) x))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) y)
(fma.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (+.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y x)) (+.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 x))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)) (+.f64 (neg.f64 x) x))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 x))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (neg.f64 x) x))
(fma.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) y)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)) y)
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) y)
(fma.f64 #s(literal -1 binary64) x y)
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)) (+.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) y)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 y x) z x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 (-.f64 y x) z))) (/.f64 (pow.f64 (*.f64 (-.f64 y x) z) #s(literal 2 binary64)) (-.f64 x (*.f64 (-.f64 y x) z))))
(*.f64 (fma.f64 (-.f64 y x) z x) #s(literal 1 binary64))
(*.f64 (fma.f64 (-.f64 y x) z x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) z x))
(*.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x)) (pow.f64 (pow.f64 (fma.f64 (-.f64 y x) z x) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (-.f64 y x) z x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 y x) z x))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (-.f64 y x) z x)) (sqrt.f64 (fma.f64 (-.f64 y x) z x)))
(*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y x) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (-.f64 y x) z) (fma.f64 (-.f64 y x) z (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y x) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (-.f64 y x) z) (fma.f64 (-.f64 y x) z (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
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(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 (-.f64 y x) z x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 y x) z x))) #s(literal 2 binary64)))

simplify176.0ms (3.7%)

Algorithm
egg-herbie
Rules
374×fma-neg
312×cancel-sign-sub-inv
303×unswap-sqr
275×distribute-lft-neg-in
262×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
054615558
1119714092
2364813806
Stop Event
node limit
Counts
407 → 306
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))
(*.f64 y z)
(*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))
(*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))
(*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 x z) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 x z) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 x z) y))))
(*.f64 y z)
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y z) x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y z) x)))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 z (-.f64 y x))
(*.f64 z (-.f64 y x))
(*.f64 z (-.f64 y x))
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(*.f64 z (-.f64 y x))
(*.f64 z (-.f64 y x))
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(*.f64 z (-.f64 y x))
(*.f64 z (-.f64 y x))
(*.f64 z (-.f64 y x))
(*.f64 z (-.f64 y x))
(*.f64 #s(literal -1 binary64) x)
y
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))
y
(+.f64 y (*.f64 #s(literal -1 binary64) x))
(+.f64 y (*.f64 #s(literal -1 binary64) x))
(+.f64 y (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 y z)
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))) (*.f64 y z))
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))) (*.f64 y z))
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))) (*.f64 y z))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y z) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 z #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z)))
(+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z)))
(+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z)))
(+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z)))
(*.f64 y z)
(*.f64 y (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 x y))))
(*.f64 y (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 x y))))
(*.f64 y (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 x y))))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z))) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z))) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z))) y)))))
x
(+.f64 x (*.f64 z (-.f64 y x)))
(+.f64 x (*.f64 z (-.f64 y x)))
(+.f64 x (*.f64 z (-.f64 y x)))
(*.f64 z (-.f64 y x))
(*.f64 z (-.f64 (+.f64 y (/.f64 x z)) x))
(*.f64 z (-.f64 (+.f64 y (/.f64 x z)) x))
(*.f64 z (-.f64 (+.f64 y (/.f64 x z)) x))
(*.f64 z (-.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y x)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y x)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y x)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z)))
(+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z)))
(+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z)))
(+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z)))
(*.f64 y z)
(*.f64 y (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 x y))))
(*.f64 y (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 x y))))
(*.f64 y (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 x y))))
(*.f64 y z)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z))) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z))) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z))) y)))))
(*.f64 y z)
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))) (*.f64 y z))
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))) (*.f64 y z))
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))) (*.f64 y z))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y z) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y z) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 z #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))
x
(+.f64 x (*.f64 z (-.f64 y x)))
(+.f64 x (*.f64 z (-.f64 y x)))
(+.f64 x (*.f64 z (-.f64 y x)))
(*.f64 z (-.f64 y x))
(*.f64 z (-.f64 (+.f64 y (/.f64 x z)) x))
(*.f64 z (-.f64 (+.f64 y (/.f64 x z)) x))
(*.f64 z (-.f64 (+.f64 y (/.f64 x z)) x))
(*.f64 z (-.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y x)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y x)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 y x)) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(+.f64 #s(literal 0 binary64) (*.f64 (-.f64 y x) z))
(+.f64 (*.f64 z y) (*.f64 z (neg.f64 x)))
(+.f64 (*.f64 y z) (*.f64 (neg.f64 x) z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 y x)) z)) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 y x)) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 y x)) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 y x)) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 y x)) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 y x) z))) #s(literal 1 binary64))
(/.f64 (*.f64 z (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 z (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 y x))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) z) (+.f64 y x))
(pow.f64 (*.f64 (-.f64 y x) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 y x) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 y x) z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 y x) z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (-.f64 y x)) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 y x) z))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 y x) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 y x) z)))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 y x) z)))
(exp.f64 (log.f64 (*.f64 (-.f64 y x) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 y x) z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 y x) z))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 (-.f64 y x) z))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 y x) z))) #s(literal 2 binary64)))
(fma.f64 y z (*.f64 (neg.f64 x) z))
(fma.f64 z y (*.f64 z (neg.f64 x)))
(+.f64 y (neg.f64 x))
(+.f64 y (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(+.f64 (-.f64 y x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(+.f64 (-.f64 y x) (+.f64 (neg.f64 x) x))
(+.f64 (neg.f64 x) y)
(+.f64 #s(literal 0 binary64) (-.f64 y x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 y x))) (cbrt.f64 (exp.f64 (-.f64 y x))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 y x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 y x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 y x)))))
(*.f64 (-.f64 y x) #s(literal 1 binary64))
(*.f64 (-.f64 y x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (-.f64 y x))
(*.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (-.f64 y x)) (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 y x))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)))
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(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64)))
(*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (-.f64 y x))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) #s(literal 1 binary64)) (pow.f64 (-.f64 (sqrt.f64 y) (sqrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 y x))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 y x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) (cbrt.f64 (cbrt.f64 (-.f64 y x)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (-.f64 y x)))
(*.f64 (pow.f64 (*.f64 (-.f64 y x) (sqrt.f64 (-.f64 y x))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (-.f64 y x) (sqrt.f64 (-.f64 y x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (sqrt.f64 (-.f64 y x))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 y x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 y x))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 y x))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 y x) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
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(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) z)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (-.f64 y x) z)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (-.f64 y x) z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (-.f64 y x) z))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (-.f64 y x)) x)
(fma.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) z) x)
(fma.f64 (sqrt.f64 (*.f64 (-.f64 y x) z)) (sqrt.f64 (*.f64 (-.f64 y x) z)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 y x) z))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (-.f64 y x)) x)
(fma.f64 (*.f64 (-.f64 y x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) x)
(fma.f64 (*.f64 (-.f64 y x) (sqrt.f64 z)) (sqrt.f64 z) x)
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 y x)) x)
(fma.f64 (*.f64 z (sqrt.f64 (-.f64 y x))) (sqrt.f64 (-.f64 y x)) x)
(+.f64 x (*.f64 (-.f64 y x) z))
(+.f64 (*.f64 (-.f64 y x) z) x)
(+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 y x) z x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (-.f64 y x) z x))) (cbrt.f64 (exp.f64 (fma.f64 (-.f64 y x) z x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (-.f64 y x) z x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 y x) z x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 y x) z x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 y x) z x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 (-.f64 y x) z))) (/.f64 (pow.f64 (*.f64 (-.f64 y x) z) #s(literal 2 binary64)) (-.f64 x (*.f64 (-.f64 y x) z))))
(*.f64 (fma.f64 (-.f64 y x) z x) #s(literal 1 binary64))
(*.f64 (fma.f64 (-.f64 y x) z x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) z x))
(*.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x)) (pow.f64 (pow.f64 (fma.f64 (-.f64 y x) z x) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (-.f64 y x) z x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 y x) z x))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (-.f64 y x) z x)) (sqrt.f64 (fma.f64 (-.f64 y x) z x)))
(*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y x) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (-.f64 y x) z) (fma.f64 (-.f64 y x) z (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y x) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (-.f64 y x) z) (fma.f64 (-.f64 y x) z (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 y x) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (-.f64 y x) z))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 y x) z) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (-.f64 y x) z))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 (-.f64 y x) z x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 y x) z x))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 y x) z x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x))) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 y x) z x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (fma.f64 (-.f64 y x) z x)))
(*.f64 (pow.f64 (*.f64 (fma.f64 (-.f64 y x) z x) (sqrt.f64 (fma.f64 (-.f64 y x) z x))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (fma.f64 (-.f64 y x) z x) (sqrt.f64 (fma.f64 (-.f64 y x) z x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) z x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) z x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 y x) z x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 y x) z x) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (-.f64 y x) z x))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) z x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (-.f64 y x) z x))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (-.f64 y x) z x))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (-.f64 y x) z) (fma.f64 (-.f64 y x) z (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 y x) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (-.f64 y x) z)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 y x) z) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y x) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 y x) z) (fma.f64 (-.f64 y x) z (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y x) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 y x) z) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 x (-.f64 y x)) z))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 y x) z) #s(literal 2 binary64))) (-.f64 x (*.f64 (-.f64 y x) z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y x) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (-.f64 y x) z) (fma.f64 (-.f64 y x) z (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 y x) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (-.f64 y x) z))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y x) z) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (-.f64 y x) z (neg.f64 x)))
(pow.f64 (fma.f64 (-.f64 y x) z x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (-.f64 y x) z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) z x)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 (-.f64 y x) z) (fma.f64 (-.f64 y x) z (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 y x) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x (*.f64 (-.f64 y x) z)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 y x) z) #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) z x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (-.f64 y x) z x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (-.f64 y x) z x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 y x) z)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 (-.f64 y x)) z)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 y x) z)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 y x)) z) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 y x) z))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 y x) z))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 y x) z x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 y x) z x)))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 y x) z x)))
(exp.f64 (log.f64 (fma.f64 (-.f64 y x) z x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 y x) z x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 (-.f64 y x) z x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 y x) z x))) #s(literal 2 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))
(*.f64 z (-.f64 y x))
(*.f64 y z)
(*.f64 z y)
(*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))
(*.f64 y (+.f64 z (neg.f64 (*.f64 x (/.f64 z y)))))
(*.f64 y (-.f64 z (*.f64 x (/.f64 z y))))
(*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))
(*.f64 y (+.f64 z (neg.f64 (*.f64 x (/.f64 z y)))))
(*.f64 y (-.f64 z (*.f64 x (/.f64 z y))))
(*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))
(*.f64 y (+.f64 z (neg.f64 (*.f64 x (/.f64 z y)))))
(*.f64 y (-.f64 z (*.f64 x (/.f64 z y))))
(*.f64 y z)
(*.f64 z y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 x z) y))))
(*.f64 y (+.f64 z (neg.f64 (*.f64 x (/.f64 z y)))))
(*.f64 y (-.f64 z (*.f64 x (/.f64 z y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 x z) y))))
(*.f64 y (+.f64 z (neg.f64 (*.f64 x (/.f64 z y)))))
(*.f64 y (-.f64 z (*.f64 x (/.f64 z y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 x z) y))))
(*.f64 y (+.f64 z (neg.f64 (*.f64 x (/.f64 z y)))))
(*.f64 y (-.f64 z (*.f64 x (/.f64 z y))))
(*.f64 y z)
(*.f64 z y)
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))
(*.f64 z (-.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y z) x)))
(*.f64 x (fma.f64 #s(literal -1 binary64) z (/.f64 (*.f64 z y) x)))
(*.f64 x (-.f64 (*.f64 y (/.f64 z x)) z))
(*.f64 x (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y z) x)))
(*.f64 x (fma.f64 #s(literal -1 binary64) z (/.f64 (*.f64 z y) x)))
(*.f64 x (-.f64 (*.f64 y (/.f64 z x)) z))
(*.f64 x (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y z) x)))
(*.f64 x (fma.f64 #s(literal -1 binary64) z (/.f64 (*.f64 z y) x)))
(*.f64 x (-.f64 (*.f64 y (/.f64 z x)) z))
(*.f64 x (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 x (fma.f64 #s(literal -1 binary64) z (/.f64 (*.f64 z y) x)))
(*.f64 x (-.f64 (*.f64 y (/.f64 z x)) z))
(*.f64 x (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 x (fma.f64 #s(literal -1 binary64) z (/.f64 (*.f64 z y) x)))
(*.f64 x (-.f64 (*.f64 y (/.f64 z x)) z))
(*.f64 x (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 x (fma.f64 #s(literal -1 binary64) z (/.f64 (*.f64 z y) x)))
(*.f64 x (-.f64 (*.f64 y (/.f64 z x)) z))
(*.f64 x (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 y x))))
(*.f64 z (-.f64 y x))
(*.f64 z (-.f64 y x))
(*.f64 z (-.f64 y x))
(*.f64 z (-.f64 y x))
(*.f64 z (-.f64 y x))
(*.f64 z (-.f64 y x))
(*.f64 z (-.f64 y x))
(*.f64 z (-.f64 y x))
(*.f64 z (-.f64 y x))
(*.f64 z (-.f64 y x))
(*.f64 z (-.f64 y x))
(*.f64 z (-.f64 y x))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
y
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x y))))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x y))))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x y))))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y)))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x y))))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x y))))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))
(*.f64 y (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x y))))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y)))
y
(+.f64 y (*.f64 #s(literal -1 binary64) x))
(-.f64 y x)
(+.f64 y (*.f64 #s(literal -1 binary64) x))
(-.f64 y x)
(+.f64 y (*.f64 #s(literal -1 binary64) x))
(-.f64 y x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y x)))
(*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y x)))
(*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y x)))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))
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(fma.f64 x (+.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 z y))
(fma.f64 z (-.f64 y x) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (pow.f64 (exp.f64 (-.f64 y x)) z)))
(fma.f64 x (+.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 z y))
(fma.f64 z (-.f64 y x) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 y x) z)))))
(fma.f64 x (+.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 z y))
(fma.f64 z (-.f64 y x) x)
(log.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 y x)) z) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(fma.f64 x (+.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 z y))
(fma.f64 z (-.f64 y x) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 y x) z))) (exp.f64 x)))
(fma.f64 x (+.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 z y))
(fma.f64 z (-.f64 y x) x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 y x) z))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(fma.f64 x (+.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 z y))
(fma.f64 z (-.f64 y x) x)
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 y x) z x) #s(literal 3 binary64)))
(fma.f64 x (+.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 z y))
(fma.f64 z (-.f64 y x) x)
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 y x) z x)))
(fma.f64 x (+.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 z y))
(fma.f64 z (-.f64 y x) x)
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 y x) z x)))
(fma.f64 x (+.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 z y))
(fma.f64 z (-.f64 y x) x)
(exp.f64 (log.f64 (fma.f64 (-.f64 y x) z x)))
(fma.f64 x (+.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 z y))
(fma.f64 z (-.f64 y x) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 y x) z x)) #s(literal 1 binary64)))
(fma.f64 x (+.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 z y))
(fma.f64 z (-.f64 y x) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x))) #s(literal 3 binary64)))
(fma.f64 x (+.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 z y))
(fma.f64 z (-.f64 y x) x)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 (-.f64 y x) z x))) #s(literal 1/3 binary64)))
(fma.f64 x (+.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 z y))
(fma.f64 z (-.f64 y x) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 y x) z x))) #s(literal 2 binary64)))
(fma.f64 x (+.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 z y))
(fma.f64 z (-.f64 y x) x)

eval56.0ms (1.2%)

Compiler

Compiled 6536 to 1139 computations (82.6% saved)

prune67.0ms (1.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New4357442
Fresh000
Picked112
Done000
Total4368444
Accuracy
100.0%
Counts
444 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(+.f64 x (+.f64 (*.f64 z y) (*.f64 z (neg.f64 x))))
100.0%
(+.f64 x (*.f64 (-.f64 y x) z))
91.4%
(+.f64 x (*.f64 (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))) z))
57.6%
(+.f64 x (*.f64 (neg.f64 x) z))
77.3%
(+.f64 x (*.f64 z y))
88.5%
(*.f64 z (-.f64 (+.f64 y (/.f64 x z)) x))
57.6%
(*.f64 x (-.f64 #s(literal 1 binary64) z))
33.7%
x
Compiler

Compiled 146 to 94 computations (35.6% saved)

simplify44.0ms (0.9%)

Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 (neg.f64 x) z)
cost-diff64
(+.f64 x (*.f64 (neg.f64 x) z))
cost-diff-6272
(+.f64 x (*.f64 z y))
cost-diff0
(*.f64 z y)
cost-diff0
(-.f64 #s(literal 1 binary64) z)
cost-diff0
(*.f64 x (-.f64 #s(literal 1 binary64) z))
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 z (neg.f64 x))
cost-diff0
(*.f64 z y)
cost-diff192
(+.f64 (*.f64 z y) (*.f64 z (neg.f64 x)))
Rules
339×fma-define
275×fma-neg
44×cancel-sign-sub-inv
41×distribute-rgt-in
41×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021252
148236
288236
3147236
4256236
5436236
6751236
71060236
81210236
91227236
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 x (+.f64 (*.f64 z y) (*.f64 z (neg.f64 x))))
x
(+.f64 (*.f64 z y) (*.f64 z (neg.f64 x)))
(*.f64 z y)
z
y
(*.f64 z (neg.f64 x))
(neg.f64 x)
x
(*.f64 x (-.f64 #s(literal 1 binary64) z))
x
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(+.f64 x (*.f64 z y))
x
(*.f64 z y)
z
y
(+.f64 x (*.f64 (neg.f64 x) z))
x
(*.f64 (neg.f64 x) z)
(neg.f64 x)
z
Outputs
(+.f64 x (+.f64 (*.f64 z y) (*.f64 z (neg.f64 x))))
(+.f64 x (*.f64 z (+.f64 y (neg.f64 x))))
(fma.f64 z (-.f64 y x) x)
x
(+.f64 (*.f64 z y) (*.f64 z (neg.f64 x)))
(*.f64 z (+.f64 y (neg.f64 x)))
(*.f64 z (-.f64 y x))
(*.f64 z y)
z
y
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(neg.f64 x)
x
(*.f64 x (-.f64 #s(literal 1 binary64) z))
x
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(+.f64 x (*.f64 z y))
(fma.f64 z y x)
x
(*.f64 z y)
z
y
(+.f64 x (*.f64 (neg.f64 x) z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
x
(*.f64 (neg.f64 x) z)
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(neg.f64 x)
z

localize59.0ms (1.2%)

Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 (neg.f64 x) z)
accuracy100.0%
(neg.f64 x)
accuracy100.0%
(+.f64 x (*.f64 (neg.f64 x) z))
accuracy100.0%
(*.f64 z y)
accuracy100.0%
(+.f64 x (*.f64 z y))
accuracy100.0%
(-.f64 #s(literal 1 binary64) z)
accuracy100.0%
(*.f64 x (-.f64 #s(literal 1 binary64) z))
accuracy100.0%
(*.f64 z y)
accuracy100.0%
(neg.f64 x)
accuracy100.0%
(+.f64 x (+.f64 (*.f64 z y) (*.f64 z (neg.f64 x))))
accuracy99.6%
(+.f64 (*.f64 z y) (*.f64 z (neg.f64 x)))
Results
42.0ms256×0valid
Compiler

Compiled 71 to 15 computations (78.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 9.0ms (45.4% of total)
ival-add: 5.0ms (25.2% of total)
ival-neg: 3.0ms (15.1% of total)
ival-sub: 2.0ms (10.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series22.0ms (0.5%)

Counts
10 → 240
Calls
Call 1
Inputs
#<alt (+.f64 (*.f64 z y) (*.f64 z (neg.f64 x)))>
#<alt (*.f64 z y)>
#<alt (*.f64 z (neg.f64 x))>
#<alt (neg.f64 x)>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) z))>
#<alt (-.f64 #s(literal 1 binary64) z)>
#<alt (+.f64 x (*.f64 z y))>
#<alt (+.f64 x (*.f64 (neg.f64 x) z))>
#<alt (*.f64 (neg.f64 x) z)>
#<alt (+.f64 x (+.f64 (*.f64 z y) (*.f64 z (neg.f64 x))))>
Outputs
#<alt (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))>
#<alt (*.f64 y z)>
#<alt (*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y z)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))))>
#<alt (*.f64 y z)>
#<alt (+.f64 x (*.f64 y z))>
#<alt (+.f64 x (*.f64 y z))>
#<alt (+.f64 x (*.f64 y z))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 y z))>
#<alt (+.f64 x (*.f64 y z))>
#<alt (+.f64 x (*.f64 y z))>
#<alt (*.f64 y z)>
#<alt (*.f64 z (+.f64 y (/.f64 x z)))>
#<alt (*.f64 z (+.f64 y (/.f64 x z)))>
#<alt (*.f64 z (+.f64 y (/.f64 x z)))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt x>
#<alt (+.f64 x (*.f64 y z))>
#<alt (+.f64 x (*.f64 y z))>
#<alt (+.f64 x (*.f64 y z))>
#<alt (*.f64 y z)>
#<alt (*.f64 y (+.f64 z (/.f64 x y)))>
#<alt (*.f64 y (+.f64 z (/.f64 x y)))>
#<alt (*.f64 y (+.f64 z (/.f64 x y)))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 z #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 z #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 z #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 z #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 y z)>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))) (*.f64 y z))>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))) (*.f64 y z))>
#<alt (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))) (*.f64 y z))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 z #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 x (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 x (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 z (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x z))))>
#<alt (*.f64 z (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x z))))>
#<alt (*.f64 z (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z))))))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z)))>
#<alt (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z)))>
#<alt (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z)))>
#<alt (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z)))>
#<alt (*.f64 y z)>
#<alt (*.f64 y (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (/.f64 x y))))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z))) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z))) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z))) y)))))>
Calls

63 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(* x (- 1 z))
1.0ms
z
@0
(+ (* z y) (* z (neg x)))
1.0ms
z
@inf
(+ (* z y) (* z (neg x)))
0.0ms
x
@0
(* x (- 1 z))
0.0ms
y
@0
(+ (* z y) (* z (neg x)))

rewrite188.0ms (3.9%)

Algorithm
batch-egg-rewrite
Rules
981×log1p-expm1-u
886×expm1-log1p-u
148×add-cube-cbrt
145×add-exp-log
144×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021186
1338156
24995156
Stop Event
node limit
Counts
10 → 334
Calls
Call 1
Inputs
(+.f64 (*.f64 z y) (*.f64 z (neg.f64 x)))
(*.f64 z y)
(*.f64 z (neg.f64 x))
(neg.f64 x)
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(-.f64 #s(literal 1 binary64) z)
(+.f64 x (*.f64 z y))
(+.f64 x (*.f64 (neg.f64 x) z))
(*.f64 (neg.f64 x) z)
(+.f64 x (+.f64 (*.f64 z y) (*.f64 z (neg.f64 x))))
Outputs
(-.f64 (*.f64 z y) (*.f64 z x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (+.f64 y x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 z (+.f64 y x))) (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 z (+.f64 y x))))
(*.f64 z (+.f64 y x))
(*.f64 (*.f64 z (+.f64 y x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y x)))
(*.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (+.f64 y x)))
(*.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y x))))
(*.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) (sqrt.f64 (*.f64 z (+.f64 y x))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (+.f64 y x)))
(*.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 z x) y) z))))
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z x))) (-.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 z x) y) z)) (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (+.f64 y x)) (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64))))
(/.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (*.f64 z (+.f64 y x)))
(/.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 z x) y) z)))
(/.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 z x) y) z))))
(/.f64 (neg.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64))) (neg.f64 (*.f64 z (+.f64 y x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (neg.f64 (-.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 z x) y) z))))
(/.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 z x) y) z)))
(/.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (-.f64 (*.f64 z x) (*.f64 z y)))
(pow.f64 (*.f64 z (+.f64 y x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (+.f64 y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (+.f64 y x)))))
(log.f64 (/.f64 (pow.f64 (exp.f64 z) y) (pow.f64 (exp.f64 x) z)))
(cbrt.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (+.f64 y x))))
(log1p.f64 (expm1.f64 (*.f64 z (+.f64 y x))))
(exp.f64 (log.f64 (*.f64 z (+.f64 y x))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 y x))) #s(literal 1 binary64)))
(fma.f64 z y (*.f64 z x))
(fma.f64 z x (*.f64 z y))
(fma.f64 y z (*.f64 z x))
(fma.f64 x z (*.f64 z y))
(fma.f64 #s(literal 1 binary64) (*.f64 z y) (*.f64 z x))
(fma.f64 #s(literal 1 binary64) (*.f64 z x) (*.f64 z y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z y)) (*.f64 z x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z x)) (*.f64 z y))
(fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z y)) (*.f64 z x))
(fma.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (*.f64 z x)) (*.f64 z y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z y))) #s(literal 1 binary64))
(pow.f64 (*.f64 z y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z y)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z y))))
(cbrt.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z y)))
(log1p.f64 (expm1.f64 (*.f64 z y)))
(exp.f64 (log.f64 (*.f64 z y)))
(exp.f64 (*.f64 (log.f64 (*.f64 z y)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 z x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z x))) #s(literal 1 binary64))
(pow.f64 (*.f64 z x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))
(neg.f64 (*.f64 z x))
(sqrt.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z x))))
(cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z x)))
(log1p.f64 (expm1.f64 (*.f64 z x)))
(exp.f64 (log.f64 (*.f64 z x)))
(exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 (exp.f64 (log1p.f64 x)) #s(literal 1 binary64))
(*.f64 x #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) x)
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))) x)
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)))
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
x
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(+.f64 x (*.f64 z x))
(+.f64 x (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 z x))))
(+.f64 x (*.f64 (neg.f64 (sqrt.f64 (*.f64 z x))) (sqrt.f64 (*.f64 z x))))
(+.f64 (*.f64 z x) x)
(+.f64 (fma.f64 z x x) (fma.f64 x z (*.f64 z x)))
(+.f64 (fma.f64 z x x) (fma.f64 (neg.f64 z) x (*.f64 z x)))
(+.f64 (fma.f64 z x x) (fma.f64 (*.f64 z x) #s(literal 1 binary64) (*.f64 z x)))
(+.f64 (fma.f64 z x x) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z x))) (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (*.f64 z x)))
(+.f64 (fma.f64 z x x) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z x))) (sqrt.f64 (*.f64 z x)) (*.f64 z x)))
(-.f64 x (*.f64 z x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z x x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 z x x)) (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (fma.f64 z x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) z)) (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z x x) (pow.f64 (fma.f64 z x x) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64)) (fma.f64 z x x))
(/.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) z)))
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(/.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 z (+.f64 y x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64))) (-.f64 x (*.f64 z (+.f64 y x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 z (+.f64 y x)) (-.f64 (*.f64 z (+.f64 y x)) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 z (+.f64 y x)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 z y x) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 z y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 (fma.f64 z y x) (*.f64 z x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 z (+.f64 y x)) x))
(/.f64 (-.f64 (pow.f64 (fma.f64 z y x) #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (fma.f64 z (+.f64 y x) x))
(pow.f64 (fma.f64 z (+.f64 y x) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 z (+.f64 y x) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 z (+.f64 y x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 z (+.f64 y x) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 z (+.f64 y x) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 z (+.f64 y x) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 z (+.f64 y x) x))))
(cbrt.f64 (pow.f64 (fma.f64 z (+.f64 y x) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 z (+.f64 y x) x)))
(log1p.f64 (expm1.f64 (fma.f64 z (+.f64 y x) x)))
(exp.f64 (log.f64 (fma.f64 z (+.f64 y x) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (+.f64 y x) x)) #s(literal 1 binary64)))
(fma.f64 z (+.f64 y x) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 z (+.f64 y x)))
(fma.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y x)) x)
(fma.f64 #s(literal 1 binary64) (fma.f64 z y x) (*.f64 z x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z (+.f64 y x))) x)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z y x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z y x)) (*.f64 z x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 z (+.f64 y x)))
(fma.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) (sqrt.f64 (*.f64 z (+.f64 y x))) x)
(fma.f64 (sqrt.f64 (fma.f64 z y x)) (sqrt.f64 (fma.f64 z y x)) (*.f64 z x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z (+.f64 y x)))

simplify229.0ms (4.8%)

Algorithm
egg-herbie
Rules
596×distribute-lft-neg-in
373×associate-*l*
367×fma-define
340×associate-*r*
256×sub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
063015395
1144914890
2599214829
Stop Event
node limit
Counts
574 → 376
Calls
Call 1
Inputs
(*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) x)))
(*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) x)))
(*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) x)))
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#s(literal 1 binary64)
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(*.f64 y z)
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(/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 z y) (-.f64 (*.f64 z y) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 z x) y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (-.f64 x (*.f64 z y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 z y) (-.f64 (*.f64 z y) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 z y))))
(/.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 z y) x))
(pow.f64 (fma.f64 z y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 z y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 z y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 z y x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 z y x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 z y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 z y x))))
(cbrt.f64 (pow.f64 (fma.f64 z y x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 z y x)))
(log1p.f64 (expm1.f64 (fma.f64 z y x)))
(exp.f64 (log.f64 (fma.f64 z y x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z y x)) #s(literal 1 binary64)))
(fma.f64 z y x)
(fma.f64 y z x)
(fma.f64 #s(literal 1 binary64) (*.f64 z y) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 z y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z y)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 z y))
(fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z y)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z y))
(-.f64 x (*.f64 z x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z x x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 z x x)) (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (fma.f64 z x x)))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal 1 binary64) (fma.f64 z x x))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(*.f64 (fma.f64 z x x) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) z)) x))
(*.f64 (cbrt.f64 (fma.f64 z x x)) (pow.f64 (cbrt.f64 (fma.f64 z x x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z x x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z x x)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (-.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z x x)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) z)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) z)) x))
(*.f64 (sqrt.f64 (fma.f64 z x x)) (sqrt.f64 (fma.f64 z x x)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) z)))
(*.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) z))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z x))))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 #s(literal 1 binary64) z)))
(*.f64 (*.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) z))) (sqrt.f64 (-.f64 #s(literal 1 binary64) z)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) z)) (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z x x) (pow.f64 (fma.f64 z x x) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64)) (fma.f64 z x x))
(/.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(/.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) z))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (-.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) z))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64))) (neg.f64 (fma.f64 z x x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(/.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 z x) x))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))) (+.f64 z #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) x) (+.f64 #s(literal 1 binary64) (fma.f64 z z z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))) x) (+.f64 z #s(literal 1 binary64)))
(pow.f64 (fma.f64 z x x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 z x x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 z x x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 z x x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 z x x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 z x x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 z x x))))
(log.f64 (/.f64 (exp.f64 x) (pow.f64 (exp.f64 x) z)))
(cbrt.f64 (pow.f64 (fma.f64 z x x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 z x x)))
(log1p.f64 (expm1.f64 (fma.f64 z x x)))
(exp.f64 (log.f64 (fma.f64 z x x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z x x)) #s(literal 1 binary64)))
(fma.f64 z x x)
(fma.f64 x z x)
(fma.f64 #s(literal 1 binary64) x (*.f64 z x))
(fma.f64 #s(literal 1 binary64) (*.f64 z x) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 z x))
(fma.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (*.f64 z x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z x))
(-.f64 #s(literal 0 binary64) (*.f64 z x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z x))) #s(literal 1 binary64))
(pow.f64 (*.f64 z x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))
(neg.f64 (*.f64 z x))
(sqrt.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z x))))
(cbrt.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z x)))
(log1p.f64 (expm1.f64 (*.f64 z x)))
(exp.f64 (log.f64 (*.f64 z x)))
(exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal 1 binary64)))
(-.f64 (fma.f64 z y x) (*.f64 z x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (+.f64 y x) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 z (+.f64 y x)))) (/.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (-.f64 x (*.f64 z (+.f64 y x)))))
(*.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y x) x))
(*.f64 (fma.f64 z (+.f64 y x) x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 z (+.f64 y x) x)) (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 y x) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 y x) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z (+.f64 y x) x)))
(*.f64 (sqrt.f64 (fma.f64 z (+.f64 y x) x)) (sqrt.f64 (fma.f64 z (+.f64 y x) x)))
(*.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 z (+.f64 y x)) (-.f64 (*.f64 z (+.f64 y x)) x)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z (+.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 z (+.f64 y x)) (-.f64 (*.f64 z (+.f64 y x)) x))) (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 z (+.f64 y x))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 z (+.f64 y x)) (-.f64 (*.f64 z (+.f64 y x)) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 z (+.f64 y x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64))) (-.f64 x (*.f64 z (+.f64 y x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 z (+.f64 y x)) (-.f64 (*.f64 z (+.f64 y x)) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 z (+.f64 y x)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 z y x) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 z y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 (fma.f64 z y x) (*.f64 z x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 z (+.f64 y x)) x))
(/.f64 (-.f64 (pow.f64 (fma.f64 z y x) #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (fma.f64 z (+.f64 y x) x))
(pow.f64 (fma.f64 z (+.f64 y x) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 z (+.f64 y x) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 z (+.f64 y x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 z (+.f64 y x) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 z (+.f64 y x) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 z (+.f64 y x) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 z (+.f64 y x) x))))
(cbrt.f64 (pow.f64 (fma.f64 z (+.f64 y x) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 z (+.f64 y x) x)))
(log1p.f64 (expm1.f64 (fma.f64 z (+.f64 y x) x)))
(exp.f64 (log.f64 (fma.f64 z (+.f64 y x) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (+.f64 y x) x)) #s(literal 1 binary64)))
(fma.f64 z (+.f64 y x) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 z (+.f64 y x)))
(fma.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y x)) x)
(fma.f64 #s(literal 1 binary64) (fma.f64 z y x) (*.f64 z x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z (+.f64 y x))) x)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z y x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z y x)) (*.f64 z x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 z (+.f64 y x)))
(fma.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) (sqrt.f64 (*.f64 z (+.f64 y x))) x)
(fma.f64 (sqrt.f64 (fma.f64 z y x)) (sqrt.f64 (fma.f64 z y x)) (*.f64 z x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z (+.f64 y x)))
Outputs
(*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) x)))
(*.f64 z (-.f64 y x))
(*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) x)))
(*.f64 z (-.f64 y x))
(*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) x)))
(*.f64 z (-.f64 y x))
(*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) x)))
(*.f64 z (-.f64 y x))
(*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) x)))
(*.f64 z (-.f64 y x))
(*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) x)))
(*.f64 z (-.f64 y x))
(*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) x)))
(*.f64 z (-.f64 y x))
(*.f64 z (+.f64 y (*.f64 #s(literal -1 binary64) x)))
(*.f64 z (-.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) y))))
(*.f64 z (-.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) y))))
(*.f64 z (-.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) y))))
(*.f64 z (-.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) y))))
(*.f64 z (-.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 z (neg.f64 x))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))
(*.f64 z (-.f64 y x))
(*.f64 y z)
(*.f64 z y)
(*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))
(*.f64 y (+.f64 z (/.f64 (*.f64 z (neg.f64 x)) y)))
(*.f64 y (-.f64 z (*.f64 z (/.f64 x y))))
(*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))
(*.f64 y (+.f64 z (/.f64 (*.f64 z (neg.f64 x)) y)))
(*.f64 y (-.f64 z (*.f64 z (/.f64 x y))))
(*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))
(*.f64 y (+.f64 z (/.f64 (*.f64 z (neg.f64 x)) y)))
(*.f64 y (-.f64 z (*.f64 z (/.f64 x y))))
(*.f64 y z)
(*.f64 z y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 x z) y))))
(*.f64 y (+.f64 z (/.f64 (*.f64 z (neg.f64 x)) y)))
(*.f64 y (-.f64 z (*.f64 z (/.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 x z) y))))
(*.f64 y (+.f64 z (/.f64 (*.f64 z (neg.f64 x)) y)))
(*.f64 y (-.f64 z (*.f64 z (/.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 x z) y))))
(*.f64 y (+.f64 z (/.f64 (*.f64 z (neg.f64 x)) y)))
(*.f64 y (-.f64 z (*.f64 z (/.f64 x y))))
(*.f64 y z)
(*.f64 z y)
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))
(*.f64 z (-.f64 y x))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))
(*.f64 z (-.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 z (neg.f64 x))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y z) x)))
(*.f64 x (fma.f64 #s(literal -1 binary64) z (*.f64 y (/.f64 z x))))
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(expm1.f64 (log1p.f64 (fma.f64 z (+.f64 y x) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (*.f64 z (+.f64 y x)))) (/.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (-.f64 x (*.f64 z (+.f64 y x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64))) (-.f64 x (*.f64 z (+.f64 y x))))
(*.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 y x) x))
(fma.f64 z (+.f64 y x) x)
(*.f64 (fma.f64 z (+.f64 y x) x) #s(literal 1 binary64))
(fma.f64 z (+.f64 y x) x)
(*.f64 (cbrt.f64 (fma.f64 z (+.f64 y x) x)) (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 y x) x)) #s(literal 2 binary64)))
(fma.f64 z (+.f64 y x) x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 y x) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z (+.f64 y x) x)))
(fma.f64 z (+.f64 y x) x)
(*.f64 (sqrt.f64 (fma.f64 z (+.f64 y x) x)) (sqrt.f64 (fma.f64 z (+.f64 y x) x)))
(fma.f64 z (+.f64 y x) x)
(*.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 z (+.f64 y x)) (-.f64 (*.f64 z (+.f64 y x)) x)))))
(*.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 z (+.f64 y x)) (fma.f64 z (+.f64 y x) (neg.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 z (*.f64 (+.f64 y x) (-.f64 (*.f64 z (+.f64 y x)) x)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z (+.f64 y x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64))) (-.f64 x (*.f64 z (+.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 z (+.f64 y x)) (-.f64 (*.f64 z (+.f64 y x)) x))) (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 z (+.f64 y x)) (fma.f64 z (+.f64 y x) (neg.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 z (*.f64 (+.f64 y x) (-.f64 (*.f64 z (+.f64 y x)) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 z (+.f64 y x))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64))) (-.f64 x (*.f64 z (+.f64 y x))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 z (+.f64 y x)) (-.f64 (*.f64 z (+.f64 y x)) x))))
(*.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 z (+.f64 y x)) (fma.f64 z (+.f64 y x) (neg.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 z (*.f64 (+.f64 y x) (-.f64 (*.f64 z (+.f64 y x)) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 z (+.f64 y x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 z (+.f64 y x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64))) (-.f64 x (*.f64 z (+.f64 y x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 z (+.f64 y x)) (-.f64 (*.f64 z (+.f64 y x)) x)))))
(*.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 z (+.f64 y x)) (fma.f64 z (+.f64 y x) (neg.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 z (*.f64 (+.f64 y x) (-.f64 (*.f64 z (+.f64 y x)) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 z (+.f64 y x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64))) (-.f64 x (*.f64 z (+.f64 y x))))
(/.f64 (+.f64 (pow.f64 (fma.f64 z y x) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 z y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 (fma.f64 z y x) (*.f64 z x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (fma.f64 z y x) #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 (fma.f64 z y x) #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (*.f64 (*.f64 z x) (fma.f64 z y x))))
(/.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (fma.f64 z y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 z y x) #s(literal 2 binary64)) (*.f64 (*.f64 z x) (-.f64 (*.f64 z x) (fma.f64 z y x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 z (+.f64 y x)) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64))) (-.f64 x (*.f64 z (+.f64 y x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 z y x) #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (fma.f64 z (+.f64 y x) x))
(pow.f64 (fma.f64 z (+.f64 y x) x) #s(literal 1 binary64))
(fma.f64 z (+.f64 y x) x)
(pow.f64 (cbrt.f64 (fma.f64 z (+.f64 y x) x)) #s(literal 3 binary64))
(fma.f64 z (+.f64 y x) x)
(pow.f64 (pow.f64 (fma.f64 z (+.f64 y x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 z (+.f64 y x) x)
(pow.f64 (sqrt.f64 (fma.f64 z (+.f64 y x) x)) #s(literal 2 binary64))
(fma.f64 z (+.f64 y x) x)
(sqrt.f64 (pow.f64 (fma.f64 z (+.f64 y x) x) #s(literal 2 binary64)))
(fma.f64 z (+.f64 y x) x)
(log.f64 (exp.f64 (fma.f64 z (+.f64 y x) x)))
(fma.f64 z (+.f64 y x) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 z (+.f64 y x) x))))
(fma.f64 z (+.f64 y x) x)
(cbrt.f64 (pow.f64 (fma.f64 z (+.f64 y x) x) #s(literal 3 binary64)))
(fma.f64 z (+.f64 y x) x)
(expm1.f64 (log1p.f64 (fma.f64 z (+.f64 y x) x)))
(log1p.f64 (expm1.f64 (fma.f64 z (+.f64 y x) x)))
(fma.f64 z (+.f64 y x) x)
(exp.f64 (log.f64 (fma.f64 z (+.f64 y x) x)))
(fma.f64 z (+.f64 y x) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 z (+.f64 y x) x)) #s(literal 1 binary64)))
(fma.f64 z (+.f64 y x) x)
(fma.f64 z (+.f64 y x) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 z (+.f64 y x)))
(fma.f64 z (+.f64 y x) x)
(fma.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y x)) x)
(fma.f64 z (+.f64 y x) x)
(fma.f64 #s(literal 1 binary64) (fma.f64 z y x) (*.f64 z x))
(fma.f64 z (+.f64 y x) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z (+.f64 y x))) x)
(fma.f64 z (+.f64 y x) x)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z y x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z y x)) (*.f64 z x))
(fma.f64 z (+.f64 y x) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 z (+.f64 y x)))
(fma.f64 z (+.f64 y x) x)
(fma.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) (sqrt.f64 (*.f64 z (+.f64 y x))) x)
(fma.f64 z (+.f64 y x) x)
(fma.f64 (sqrt.f64 (fma.f64 z y x)) (sqrt.f64 (fma.f64 z y x)) (*.f64 z x))
(fma.f64 z (+.f64 y x) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z (+.f64 y x)))
(fma.f64 z (+.f64 y x) x)

eval52.0ms (1.1%)

Compiler

Compiled 5211 to 1104 computations (78.8% saved)

prune67.0ms (1.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New4164420
Fresh202
Picked325
Done011
Total4217428
Accuracy
100.0%
Counts
428 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.6%
(-.f64 x (*.f64 z x))
99.6%
(+.f64 x (-.f64 (*.f64 z y) (*.f64 z x)))
100.0%
(+.f64 x (*.f64 (-.f64 y x) z))
77.3%
(+.f64 x (*.f64 z y))
76.0%
(*.f64 y (+.f64 z (/.f64 x y)))
25.8%
(*.f64 x (neg.f64 z))
33.7%
x
Compiler

Compiled 59 to 37 computations (37.3% saved)

simplify246.0ms (5.1%)

Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z x)
cost-diff0
(-.f64 x (*.f64 z x))
cost-diff-6144
(+.f64 x (-.f64 (*.f64 z y) (*.f64 z x)))
cost-diff0
(*.f64 z x)
cost-diff0
(*.f64 z y)
cost-diff128
(-.f64 (*.f64 z y) (*.f64 z x))
cost-diff-6144
(*.f64 y (+.f64 z (/.f64 x y)))
cost-diff0
(/.f64 x y)
cost-diff0
(+.f64 z (/.f64 x y))
cost-diff0
(neg.f64 z)
cost-diff0
(*.f64 x (neg.f64 z))
Rules
419×*-commutative
387×associate-*r/
371×div-sub
354×sub-neg
339×distribute-lft-neg-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
020245
147241
283240
3150231
4234225
5400225
6893225
72621225
84994225
96327225
107009225
117242225
127396225
137624225
147987225
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 x (neg.f64 z))
x
(neg.f64 z)
z
(*.f64 y (+.f64 z (/.f64 x y)))
y
(+.f64 z (/.f64 x y))
z
(/.f64 x y)
x
(+.f64 x (-.f64 (*.f64 z y) (*.f64 z x)))
x
(-.f64 (*.f64 z y) (*.f64 z x))
(*.f64 z y)
z
y
(*.f64 z x)
(-.f64 x (*.f64 z x))
x
(*.f64 z x)
z
Outputs
(*.f64 x (neg.f64 z))
x
(neg.f64 z)
z
(*.f64 y (+.f64 z (/.f64 x y)))
(fma.f64 z y (*.f64 x #s(literal 1 binary64)))
(fma.f64 z y x)
y
(+.f64 z (/.f64 x y))
z
(/.f64 x y)
x
(+.f64 x (-.f64 (*.f64 z y) (*.f64 z x)))
(+.f64 x (*.f64 z (-.f64 y x)))
(fma.f64 z (-.f64 y x) x)
x
(-.f64 (*.f64 z y) (*.f64 z x))
(*.f64 z (-.f64 y x))
(*.f64 z y)
z
y
(*.f64 z x)
(*.f64 x z)
(-.f64 x (*.f64 z x))
(-.f64 x (*.f64 x z))
(*.f64 x (fma.f64 z #s(literal -1 binary64) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
x
(*.f64 z x)
(*.f64 x z)
z

localize61.0ms (1.3%)

Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 z x)
accuracy100.0%
(-.f64 x (*.f64 z x))
accuracy100.0%
(*.f64 z y)
accuracy100.0%
(*.f64 z x)
accuracy100.0%
(+.f64 x (-.f64 (*.f64 z y) (*.f64 z x)))
accuracy99.6%
(-.f64 (*.f64 z y) (*.f64 z x))
accuracy100.0%
(/.f64 x y)
accuracy100.0%
(+.f64 z (/.f64 x y))
accuracy90.8%
(*.f64 y (+.f64 z (/.f64 x y)))
accuracy100.0%
(*.f64 x (neg.f64 z))
accuracy100.0%
(neg.f64 z)
Results
46.0ms256×0valid
Compiler

Compiled 65 to 14 computations (78.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 8.0ms (37.2% of total)
ival-sub: 7.0ms (32.5% of total)
ival-add: 3.0ms (13.9% of total)
ival-div: 2.0ms (9.3% of total)
ival-neg: 1.0ms (4.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series21.0ms (0.4%)

Counts
9 → 213
Calls
Call 1
Inputs
#<alt (*.f64 x (neg.f64 z))>
#<alt (neg.f64 z)>
#<alt (+.f64 z (/.f64 x y))>
#<alt (/.f64 x y)>
#<alt (*.f64 y (+.f64 z (/.f64 x y)))>
#<alt (-.f64 (*.f64 z y) (*.f64 z x))>
#<alt (*.f64 z x)>
#<alt (+.f64 x (-.f64 (*.f64 z y) (*.f64 z x)))>
#<alt (-.f64 x (*.f64 z x))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (/.f64 x y)>
#<alt z>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y z))))>
#<alt z>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64))))>
#<alt z>
#<alt (/.f64 x y)>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z x)))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z x)))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z x)))>
#<alt (/.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) y))))>
#<alt (/.f64 x y)>
#<alt (/.f64 (+.f64 x (*.f64 y z)) y)>
#<alt (/.f64 (+.f64 x (*.f64 y z)) y)>
#<alt (/.f64 (+.f64 x (*.f64 y z)) y)>
#<alt z>
#<alt z>
#<alt x>
#<alt (+.f64 x (*.f64 y z))>
#<alt (+.f64 x (*.f64 y z))>
#<alt (+.f64 x (*.f64 y z))>
#<alt (*.f64 y z)>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt x>
#<alt (+.f64 x (*.f64 y z))>
#<alt (+.f64 x (*.f64 y z))>
#<alt (+.f64 x (*.f64 y z))>
#<alt (*.f64 y z)>
#<alt (*.f64 z (+.f64 y (/.f64 x z)))>
#<alt (*.f64 z (+.f64 y (/.f64 x z)))>
#<alt (*.f64 z (+.f64 y (/.f64 x z)))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 y z)>
#<alt (+.f64 x (*.f64 y z))>
#<alt (+.f64 x (*.f64 y z))>
#<alt (+.f64 x (*.f64 y z))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))>
#<alt (*.f64 z (-.f64 y x))>
#<alt (*.f64 z (-.f64 y x))>
#<alt (*.f64 z (-.f64 y x))>
#<alt (*.f64 z (-.f64 y x))>
#<alt (*.f64 z (-.f64 y x))>
#<alt (*.f64 z (-.f64 y x))>
#<alt (*.f64 z (-.f64 y x))>
#<alt (*.f64 z (-.f64 y x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (-.f64 (*.f64 y z) (*.f64 x z))>
#<alt (-.f64 (*.f64 y z) (*.f64 x z))>
#<alt (-.f64 (*.f64 y z) (*.f64 x z))>
#<alt (*.f64 y z)>
#<alt (*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y z)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 x (-.f64 (/.f64 (*.f64 y z) x) z))>
#<alt (*.f64 x (-.f64 (/.f64 (*.f64 y z) x) z))>
#<alt (*.f64 x (-.f64 (/.f64 (*.f64 y z) x) z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) (*.f64 #s(literal -1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) (*.f64 #s(literal -1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) (*.f64 #s(literal -1 binary64) z))))>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 y z)>
#<alt (+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y z))>
#<alt (+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y z))>
#<alt (+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y z))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)) z))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)) z))>
#<alt (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)) z))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))))>
#<alt x>
#<alt (+.f64 x (*.f64 z (-.f64 y x)))>
#<alt (+.f64 x (*.f64 z (-.f64 y x)))>
#<alt (+.f64 x (*.f64 z (-.f64 y x)))>
#<alt (*.f64 z (-.f64 y x))>
#<alt (*.f64 z (-.f64 (+.f64 y (/.f64 x z)) x))>
#<alt (*.f64 z (-.f64 (+.f64 y (/.f64 x z)) x))>
#<alt (*.f64 z (-.f64 (+.f64 y (/.f64 x z)) x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z))) (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z))) (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 x z))) (*.f64 #s(literal -1 binary64) x))))>
#<alt (-.f64 x (*.f64 x z))>
#<alt (-.f64 (+.f64 x (*.f64 y z)) (*.f64 x z))>
#<alt (-.f64 (+.f64 x (*.f64 y z)) (*.f64 x z))>
#<alt (-.f64 (+.f64 x (*.f64 y z)) (*.f64 x z))>
#<alt (*.f64 y z)>
#<alt (*.f64 y (-.f64 (+.f64 z (/.f64 x y)) (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y (-.f64 (+.f64 z (/.f64 x y)) (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y (-.f64 (+.f64 z (/.f64 x y)) (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (*.f64 x z)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (*.f64 x z)) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (*.f64 x z)) y)))))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) z))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z)))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 z (-.f64 (/.f64 x z) x))>
#<alt (*.f64 z (-.f64 (/.f64 x z) x))>
#<alt (*.f64 z (-.f64 (/.f64 x z) x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -1 binary64) x))))>
Calls

63 calls:

TimeVariablePointExpression
0.0ms
y
@-inf
(* y (+ z (/ x y)))
0.0ms
x
@inf
(+ z (/ x y))
0.0ms
x
@-inf
(/ x y)
0.0ms
z
@0
(+ z (/ x y))
0.0ms
x
@-inf
(* y (+ z (/ x y)))

rewrite181.0ms (3.8%)

Algorithm
batch-egg-rewrite
Rules
1074×log1p-expm1-u
592×expm1-log1p-u
156×add-cube-cbrt
153×add-exp-log
153×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020183
1336164
25372164
Stop Event
node limit
Counts
9 → 303
Calls
Call 1
Inputs
(*.f64 x (neg.f64 z))
(neg.f64 z)
(+.f64 z (/.f64 x y))
(/.f64 x y)
(*.f64 y (+.f64 z (/.f64 x y)))
(-.f64 (*.f64 z y) (*.f64 z x))
(*.f64 z x)
(+.f64 x (-.f64 (*.f64 z y) (*.f64 z x)))
(-.f64 x (*.f64 z x))
Outputs
(-.f64 #s(literal 0 binary64) (*.f64 x z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x z))) #s(literal 1 binary64))
(pow.f64 (*.f64 x z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x z)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(neg.f64 (*.f64 x z))
(sqrt.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x z))))
(cbrt.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x z)))
(log1p.f64 (expm1.f64 (*.f64 x z)))
(exp.f64 (log.f64 (*.f64 x z)))
(exp.f64 (*.f64 (log.f64 (*.f64 x z)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) z)
(-.f64 #s(literal 0 binary64) z)
(-.f64 (exp.f64 (log1p.f64 z)) #s(literal 1 binary64))
(*.f64 z #s(literal 1 binary64))
(*.f64 z #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) z)
(*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 z)))
(*.f64 (sqrt.f64 z) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) z)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) z))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 2 binary64))) z)
(pow.f64 z #s(literal 1 binary64))
(pow.f64 (cbrt.f64 z) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 z) #s(literal 2 binary64))
(pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 z #s(literal 2 binary64)))
(log.f64 (exp.f64 z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)))
(cbrt.f64 (pow.f64 z #s(literal 3 binary64)))
z
(expm1.f64 (log1p.f64 z))
(log1p.f64 (expm1.f64 z))
(exp.f64 (log.f64 z))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 z (/.f64 x y)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 z (/.f64 x y))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 z (/.f64 x y))))
(*.f64 (+.f64 z (/.f64 x y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 z (/.f64 x y)))
(*.f64 (cbrt.f64 (+.f64 z (/.f64 x y))) (pow.f64 (cbrt.f64 (+.f64 z (/.f64 x y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 z (/.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 z (/.f64 x y))))
(*.f64 (sqrt.f64 (+.f64 z (/.f64 x y))) (sqrt.f64 (+.f64 z (/.f64 x y))))
(*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) z)))))
(*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 z (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) z))) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (/.f64 x y)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) z))))
(/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 z (/.f64 x y)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 z (/.f64 x y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z z (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) z)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (neg.f64 (-.f64 z (/.f64 x y))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 (/.f64 x y) z))
(pow.f64 (+.f64 z (/.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 z (/.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 z (/.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 z (/.f64 x y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 z (/.f64 x y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 z (/.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 z (/.f64 x y)))))
(cbrt.f64 (pow.f64 (+.f64 z (/.f64 x y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 z (/.f64 x y))))
(log1p.f64 (expm1.f64 (+.f64 z (/.f64 x y))))
(exp.f64 (log.f64 (+.f64 z (/.f64 x y))))
(exp.f64 (*.f64 (log.f64 (+.f64 z (/.f64 x y))) #s(literal 1 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) y) z)
(fma.f64 #s(literal 1 binary64) z (/.f64 x y))
(fma.f64 #s(literal 1 binary64) (/.f64 x y) z)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x y)) z)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (/.f64 x y))
(fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (/.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x y))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x y)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y))
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(*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z)))
(*.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z))))
(*.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z))) (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) z))))
(*.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x z))))
(*.f64 (+.f64 z #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) z)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) z))))
(/.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) z))))
(/.f64 (neg.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))) (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z))))
(pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z))))
(exp.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (*.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 x z))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x z))

simplify215.0ms (4.5%)

Algorithm
egg-herbie
Rules
462×associate-*l*
457×associate-*r*
404×fma-define
276×exp-prod
221×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
066116224
1158614924
2711414924
Stop Event
node limit
Counts
516 → 447
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
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(*.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 y x) x))
(*.f64 (cbrt.f64 (fma.f64 z (-.f64 y x) x)) (pow.f64 (cbrt.f64 (fma.f64 z (-.f64 y x) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (-.f64 y x) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z (-.f64 y x) x)))
(*.f64 (pow.f64 (fma.f64 z (-.f64 y x) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 y x) x)))
(*.f64 (sqrt.f64 (fma.f64 z (-.f64 y x) x)) (sqrt.f64 (fma.f64 z (-.f64 y x) x)))
(*.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 z (+.f64 y x)) (-.f64 (*.f64 z (+.f64 y x)) x)))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (+.f64 y x)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (+.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 z (+.f64 y x)) (-.f64 (*.f64 z (+.f64 y x)) x))) (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 y x) x) (pow.f64 (fma.f64 z (-.f64 y x) x) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 z (-.f64 y x) x) #s(literal 2 binary64)) (fma.f64 z (-.f64 y x) x))
(/.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 z (+.f64 y x)) (-.f64 (*.f64 z (+.f64 y x)) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 z (+.f64 y x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 z (+.f64 y x)) (-.f64 (*.f64 z (+.f64 y x)) x)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 z (-.f64 y x) x) #s(literal 2 binary64))) (neg.f64 (fma.f64 z (-.f64 y x) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (*.f64 x (*.f64 z (+.f64 y x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x (*.f64 z y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 x (*.f64 z y)) (+.f64 x (*.f64 z y))) (+.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 (+.f64 x (*.f64 z y)) (*.f64 x z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 z (+.f64 y x)) x))
(/.f64 (-.f64 (*.f64 (+.f64 x (*.f64 z y)) (+.f64 x (*.f64 z y))) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (fma.f64 z (-.f64 y x) x))
(pow.f64 (fma.f64 z (-.f64 y x) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 z (-.f64 y x) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 z (-.f64 y x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 z (-.f64 y x) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 z (-.f64 y x) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 z (-.f64 y x) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 z (-.f64 y x) x))))
(log.f64 (/.f64 (exp.f64 x) (pow.f64 (exp.f64 z) (-.f64 y x))))
(cbrt.f64 (pow.f64 (fma.f64 z (-.f64 y x) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 z (-.f64 y x) x)))
(log1p.f64 (expm1.f64 (fma.f64 z (-.f64 y x) x)))
(exp.f64 (log.f64 (fma.f64 z (-.f64 y x) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (-.f64 y x) x)) #s(literal 1 binary64)))
(fma.f64 z (-.f64 y x) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 z (+.f64 y x)))
(fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 z (+.f64 y x))))
(fma.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y x)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z (+.f64 y x))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 z (+.f64 y x)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 (*.f64 z (+.f64 y x))))
(fma.f64 (sqrt.f64 (*.f64 z (+.f64 y x))) (sqrt.f64 (*.f64 z (+.f64 y x))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z (+.f64 y x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 z (+.f64 y x))))
(+.f64 x (*.f64 x z))
(+.f64 (*.f64 x z) x)
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (+.f64 (*.f64 x z) (*.f64 x z)))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (fma.f64 z x (*.f64 x z)))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (fma.f64 (*.f64 x z) #s(literal 1 binary64) (*.f64 x z)))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 2 binary64)) (*.f64 x z)))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x z))) (sqrt.f64 (*.f64 x z)) (*.f64 x z)))
(*.f64 x (+.f64 #s(literal 1 binary64) z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z)))
(*.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z))))
(*.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z))) (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) z))))
(*.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x z))))
(*.f64 (+.f64 z #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) z)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) z))))
(/.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) z))))
(/.f64 (neg.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))) (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z))))
(pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z))))
(exp.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (*.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 x z))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x z))
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(/.f64 x y)
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z y))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) y)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z y))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) y)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z y))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) y)))
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 x (*.f64 z y)) #s(literal -1 binary64)))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 x z) y) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 x (*.f64 z y)) #s(literal -1 binary64)))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 x z) y) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 x (*.f64 z y)) #s(literal -1 binary64)))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 x z) y) #s(literal -1 binary64)))
z
(/.f64 x y)
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z x)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z x)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z x)))
(/.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 z) x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 z x) (/.f64 #s(literal -1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 z) x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 z x) (/.f64 #s(literal -1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 z) x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 z x) (/.f64 #s(literal -1 binary64) y))))
(/.f64 x y)
(/.f64 (+.f64 x (*.f64 y z)) y)
(/.f64 (+.f64 x (*.f64 z y)) y)
(/.f64 (fma.f64 z y x) y)
(/.f64 (+.f64 x (*.f64 y z)) y)
(/.f64 (+.f64 x (*.f64 z y)) y)
(/.f64 (fma.f64 z y x) y)
(/.f64 (+.f64 x (*.f64 y z)) y)
(/.f64 (+.f64 x (*.f64 z y)) y)
(/.f64 (fma.f64 z y x) y)
z
z
x
(+.f64 x (*.f64 y z))
(+.f64 x (*.f64 z y))
(fma.f64 z y x)
(+.f64 x (*.f64 y z))
(+.f64 x (*.f64 z y))
(fma.f64 z y x)
(+.f64 x (*.f64 y z))
(+.f64 x (*.f64 z y))
(fma.f64 z y x)
(*.f64 y z)
(*.f64 z y)
(*.f64 y z)
(*.f64 z y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) z (/.f64 x (neg.f64 y))))
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) z (/.f64 x (neg.f64 y))))
(*.f64 y (+.f64 z (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) z (/.f64 x (neg.f64 y))))
(*.f64 y (+.f64 z (/.f64 x y)))
x
(+.f64 x (*.f64 y z))
(+.f64 x (*.f64 z y))
(fma.f64 z y x)
(+.f64 x (*.f64 y z))
(+.f64 x (*.f64 z y))
(fma.f64 z y x)
(+.f64 x (*.f64 y z))
(+.f64 x (*.f64 z y))
(fma.f64 z y x)
(*.f64 y z)
(*.f64 z y)
(*.f64 z (+.f64 y (/.f64 x z)))
(*.f64 z (+.f64 y (/.f64 x z)))
(*.f64 z (+.f64 y (/.f64 x z)))
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(/.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 z (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))))
(/.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) z)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) z)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (*.f64 z (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 z (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) z))))
(/.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 z (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (fma.f64 x x (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (*.f64 z (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) z))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (*.f64 z (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 z (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))) (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z))))
(*.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) z))))
(/.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) z)))
(pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z))) #s(literal 3 binary64))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(pow.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)))
(log.f64 (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z))))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)))))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z))))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(exp.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z))))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(fma.f64 #s(literal 1 binary64) x (*.f64 x z))
(fma.f64 x z x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 x z))
(fma.f64 x z x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x z))
(fma.f64 x z x)

eval67.0ms (1.4%)

Compiler

Compiled 6279 to 1241 computations (80.2% saved)

prune64.0ms (1.3%)

Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New4601461
Fresh000
Picked044
Done033
Total4608468
Accuracy
100.0%
Counts
468 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.6%
(-.f64 x (*.f64 z x))
99.6%
(+.f64 x (-.f64 (*.f64 z y) (*.f64 z x)))
100.0%
(+.f64 x (*.f64 (-.f64 y x) z))
77.3%
(+.f64 x (*.f64 z y))
45.5%
(*.f64 z y)
76.0%
(*.f64 y (+.f64 z (/.f64 x y)))
25.8%
(*.f64 x (neg.f64 z))
33.7%
x
Compiler

Compiled 65 to 41 computations (36.9% saved)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z y)
Rules
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821
1921
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 z y)
z
y
Outputs
(*.f64 z y)
z
y

localize14.0ms (0.3%)

Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 z y)
Results
10.0ms256×0valid
Compiler

Compiled 9 to 5 computations (44.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (77.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

eval3.0ms (0.1%)

Compiler

Compiled 80 to 33 computations (58.8% saved)

prune6.0ms (0.1%)

Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New13013
Fresh000
Picked011
Done077
Total13821
Accuracy
100.0%
Counts
21 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.6%
(-.f64 x (*.f64 z x))
99.6%
(+.f64 x (-.f64 (*.f64 z y) (*.f64 z x)))
100.0%
(+.f64 x (*.f64 (-.f64 y x) z))
77.3%
(+.f64 x (*.f64 z y))
45.5%
(*.f64 z y)
76.0%
(*.f64 y (+.f64 z (/.f64 x y)))
25.8%
(*.f64 x (neg.f64 z))
33.7%
x
Compiler

Compiled 156 to 77 computations (50.6% saved)

regimes20.0ms (0.4%)

Counts
14 → 1
Calls
Call 1
Inputs
x
(*.f64 z y)
(*.f64 x (neg.f64 z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(+.f64 x (*.f64 z y))
(-.f64 x (*.f64 z x))
(+.f64 x (*.f64 (neg.f64 x) z))
(*.f64 y (+.f64 z (/.f64 x y)))
(+.f64 x (*.f64 (-.f64 y x) z))
(*.f64 z (-.f64 (+.f64 y (/.f64 x z)) x))
(+.f64 x (-.f64 (*.f64 z y) (*.f64 z x)))
(+.f64 x (+.f64 (*.f64 z y) (*.f64 z (neg.f64 x))))
(+.f64 x (*.f64 (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))) z))
(fma.f64 (-.f64 y x) z x)
Outputs
(fma.f64 (-.f64 y x) z x)
Calls

4 calls:

6.0ms
x
5.0ms
z
4.0ms
y
4.0ms
(+.f64 x (*.f64 (-.f64 y x) z))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(+.f64 x (*.f64 (-.f64 y x) z))
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes18.0ms (0.4%)

Counts
13 → 1
Calls
Call 1
Inputs
x
(*.f64 z y)
(*.f64 x (neg.f64 z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(+.f64 x (*.f64 z y))
(-.f64 x (*.f64 z x))
(+.f64 x (*.f64 (neg.f64 x) z))
(*.f64 y (+.f64 z (/.f64 x y)))
(+.f64 x (*.f64 (-.f64 y x) z))
(*.f64 z (-.f64 (+.f64 y (/.f64 x z)) x))
(+.f64 x (-.f64 (*.f64 z y) (*.f64 z x)))
(+.f64 x (+.f64 (*.f64 z y) (*.f64 z (neg.f64 x))))
(+.f64 x (*.f64 (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))) z))
Outputs
(+.f64 x (*.f64 (-.f64 y x) z))
Calls

4 calls:

4.0ms
x
4.0ms
y
4.0ms
z
4.0ms
(+.f64 x (*.f64 (-.f64 y x) z))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(+.f64 x (*.f64 (-.f64 y x) z))
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes11.0ms (0.2%)

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

3 calls:

4.0ms
z
3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
88.9%3x
88.4%3y
80.8%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0.1%)

Counts
5 → 3
Calls
Call 1
Inputs
x
(*.f64 z y)
(*.f64 x (neg.f64 z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(+.f64 x (*.f64 z y))
Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(+.f64 x (*.f64 z y))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
88.9%3x
Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0.1%)

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

3 calls:

2.0ms
y
2.0ms
x
2.0ms
z
Results
AccuracySegmentsBranch
64.4%3z
76.3%3y
76.6%3x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes10.0ms (0.2%)

Counts
3 → 3
Calls
Call 1
Inputs
x
(*.f64 z y)
(*.f64 x (neg.f64 z))
Outputs
(*.f64 z y)
x
(*.f64 z y)
Calls

3 calls:

6.0ms
x
2.0ms
y
2.0ms
z
Results
AccuracySegmentsBranch
62.8%3z
56.5%3y
61.8%4x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (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:

1.0ms
x
1.0ms
y
1.0ms
z
Results
AccuracySegmentsBranch
33.7%1y
33.7%1x
33.7%1z
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch30.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
4.896360334668539e+38
1.7116329528644277e+50
11.0ms
-7.147014012154427e+133
-1.5831273939602002e+126
Results
18.0ms304×0valid
Compiler

Compiled 358 to 249 computations (30.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sub: 2.0ms (32.1% of total)
ival-add: 2.0ms (32.1% of total)
ival-mult: 2.0ms (32.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch30.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
4.896360334668539e+38
1.7116329528644277e+50
15.0ms
-7.147014012154427e+133
-1.5831273939602002e+126
Results
19.0ms304×0valid
Compiler

Compiled 358 to 258 computations (27.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sub: 2.0ms (32.4% of total)
ival-add: 2.0ms (32.4% of total)
ival-mult: 2.0ms (32.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch29.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
4.896360334668539e+38
1.7116329528644277e+50
8.0ms
-2.0676768084764562e-36
-2.350861005788842e-37
Results
13.0ms256×0valid
Compiler

Compiled 272 to 203 computations (25.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sub: 2.0ms (37.5% of total)
ival-mult: 2.0ms (37.5% of total)
ival-add: 1.0ms (18.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch29.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
0.00013185583722655523
258764633.95066717
11.0ms
-9.502332324433267e-44
-7.640903543253402e-51
Results
17.0ms304×0valid
Compiler

Compiled 244 to 182 computations (25.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sub: 2.0ms (32.6% of total)
ival-add: 2.0ms (32.6% of total)
ival-mult: 2.0ms (32.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify7.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative
*-commutative
sub-neg
if-if-or-not
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046332
177332
291332
397332
4100332
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (-.f64 y x) z x)
(+.f64 x (*.f64 (-.f64 y x) z))
(if (<=.f64 x #s(literal -1599999999999999879788418590388611268071473391735741538302761555560470719961268842565061590020508246002448093461848851652542464 binary64)) (-.f64 x (*.f64 z x)) (if (<=.f64 x #s(literal 27000000000000001589485954290090737054064312320 binary64)) (+.f64 x (*.f64 z y)) (*.f64 x (-.f64 #s(literal 1 binary64) z))))
(if (<=.f64 x #s(literal -1599999999999999879788418590388611268071473391735741538302761555560470719961268842565061590020508246002448093461848851652542464 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) z)) (if (<=.f64 x #s(literal 54999999999999998355039446748856769715422363648 binary64)) (+.f64 x (*.f64 z y)) (*.f64 x (-.f64 #s(literal 1 binary64) z))))
(if (<=.f64 x #s(literal -3531923316839353/11972621413014756705924586149611790497021399392059392 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) z)) (if (<=.f64 x #s(literal 2549999999999999914260451600910996471808 binary64)) (*.f64 z y) (*.f64 x (-.f64 #s(literal 1 binary64) z))))
(if (<=.f64 z #s(literal -4820814132776971/803469022129495137770981046170581301261101496891396417650688 binary64)) (*.f64 z y) (if (<=.f64 z #s(literal 4980620899901579/36893488147419103232 binary64)) x (*.f64 z y)))
x
Outputs
(fma.f64 (-.f64 y x) z x)
(+.f64 x (*.f64 (-.f64 y x) z))
(if (<=.f64 x #s(literal -1599999999999999879788418590388611268071473391735741538302761555560470719961268842565061590020508246002448093461848851652542464 binary64)) (-.f64 x (*.f64 z x)) (if (<=.f64 x #s(literal 27000000000000001589485954290090737054064312320 binary64)) (+.f64 x (*.f64 z y)) (*.f64 x (-.f64 #s(literal 1 binary64) z))))
(if (<=.f64 x #s(literal -1599999999999999879788418590388611268071473391735741538302761555560470719961268842565061590020508246002448093461848851652542464 binary64)) (-.f64 x (*.f64 x z)) (if (<=.f64 x #s(literal 27000000000000001589485954290090737054064312320 binary64)) (+.f64 x (*.f64 y z)) (*.f64 x (-.f64 #s(literal 1 binary64) z))))
(if (<=.f64 x #s(literal -1599999999999999879788418590388611268071473391735741538302761555560470719961268842565061590020508246002448093461848851652542464 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) z)) (if (<=.f64 x #s(literal 54999999999999998355039446748856769715422363648 binary64)) (+.f64 x (*.f64 z y)) (*.f64 x (-.f64 #s(literal 1 binary64) z))))
(if (or (<=.f64 x #s(literal -1599999999999999879788418590388611268071473391735741538302761555560470719961268842565061590020508246002448093461848851652542464 binary64)) (not (<=.f64 x #s(literal 54999999999999998355039446748856769715422363648 binary64)))) (*.f64 x (-.f64 #s(literal 1 binary64) z)) (+.f64 x (*.f64 y z)))
(if (<=.f64 x #s(literal -3531923316839353/11972621413014756705924586149611790497021399392059392 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) z)) (if (<=.f64 x #s(literal 2549999999999999914260451600910996471808 binary64)) (*.f64 z y) (*.f64 x (-.f64 #s(literal 1 binary64) z))))
(if (or (<=.f64 x #s(literal -3531923316839353/11972621413014756705924586149611790497021399392059392 binary64)) (not (<=.f64 x #s(literal 2549999999999999914260451600910996471808 binary64)))) (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y z))
(if (<=.f64 z #s(literal -4820814132776971/803469022129495137770981046170581301261101496891396417650688 binary64)) (*.f64 z y) (if (<=.f64 z #s(literal 4980620899901579/36893488147419103232 binary64)) x (*.f64 z y)))
(if (or (<=.f64 z #s(literal -4820814132776971/803469022129495137770981046170581301261101496891396417650688 binary64)) (not (<=.f64 z #s(literal 4980620899901579/36893488147419103232 binary64)))) (*.f64 y z) x)
x

soundness882.0ms (18.4%)

Rules
1175×fma-neg
981×log1p-expm1-u
886×expm1-log1p-u
462×associate-*l*
457×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
066116224
1158614924
2711414924
054615558
1119714092
2364813806
021186
1338156
24995156
036377
178321
2237317
3843317
41876317
53201317
63496317
73528317
83528317
94163317
104163317
Stop Event
done
saturated
node limit
node limit
node limit
Compiler

Compiled 194 to 89 computations (54.1% saved)

preprocess112.0ms (2.3%)

Compiler

Compiled 198 to 90 computations (54.5% saved)

end0.0ms (0%)

Profiling

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