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

Time bar (total: 4.7s)

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)

sample668.0ms (14.3%)

Results
469.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 242.0ms
ival-mult: 121.0ms (50% of total)
ival-sub: 58.0ms (24% of total)
ival-add: 53.0ms (21.9% of total)
const: 7.0ms (2.9% of total)
backward-pass: 2.0ms (0.8% of total)
Bogosity

preprocess261.0ms (5.6%)

Algorithm
egg-herbie
Rules
1183×fmm-def
316×fma-define
241×distribute-rgt-in
170×distribute-lft-in
160×unsub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036377
178321
2237317
3843317
41879317
53212317
63515317
73547317
83547317
94182317
104182317
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)

explain87.0ms (1.9%)

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: 11.0ms
ival-mult: 4.0ms (36.4% of total)
ival-sub: 3.0ms (27.3% of total)
ival-add: 3.0ms (27.3% of total)
const: 0.0ms (0% 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
273×fma-define
247×fmm-def
52×cancel-sign-sub-inv
48×distribute-rgt-in
42×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014126
119126
231126
359126
4107126
5181126
6293126
7489126
8880126
91111126
101211126
111218126
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

localize31.0ms (0.7%)

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 (-.f64 y x) z)
accuracy100.0%
(+.f64 x (*.f64 (-.f64 y x) z))
Results
22.0ms256×0valid
Compiler

Compiled 35 to 8 computations (77.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-add: 3.0ms (40.8% of total)
ival-sub: 2.0ms (27.2% of total)
ival-mult: 2.0ms (27.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series10.0ms (0.2%)

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
1.0ms
z
@inf
(+ x (* (- y x) z))
1.0ms
y
@-inf
(* (- y x) z)
1.0ms
x
@-inf
(* (- y x) z)
1.0ms
y
@inf
(* (- y x) z)
0.0ms
z
@inf
(* (- y x) z)

rewrite344.0ms (7.3%)

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)))
(*.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))))
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(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 y x) z x))) #s(literal 2 binary64)))

simplify337.0ms (7.2%)

Algorithm
egg-herbie
Rules
389×fmm-def
312×cancel-sign-sub-inv
303×unswap-sqr
275×distribute-lft-neg-in
265×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
054615558
1120314092
2365513806
Stop Event
node limit
Counts
407 → 307
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)
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(+.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)))
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(*.f64 #s(literal -1 binary64) (*.f64 x z))
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(*.f64 #s(literal -1 binary64) x)
y
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
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(*.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))))
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(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))
y
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(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 y z)
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x
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(*.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)))))
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(*.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)
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(*.f64 y z)
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) z))) (*.f64 y z))
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(*.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))))
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(*.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)))
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(*.f64 z (-.f64 (+.f64 y (/.f64 x z)) x))
(*.f64 z (-.f64 (+.f64 y (/.f64 x z)) x))
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(*.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)))
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(+.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))))
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(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)))
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(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))
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(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 (*.f64 z y) 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 (*.f64 z y) 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 (*.f64 z y) 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 (*.f64 z y) 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 (*.f64 z y) 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 (*.f64 z y) 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)))
(*.f64 x (+.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 x (+.f64 (/.f64 y x) #s(literal -1 binary64)))
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(log.f64 (*.f64 (exp.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 (+.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)

eval52.0ms (1.1%)

Compiler

Compiled 6556 to 1140 computations (82.6% saved)

prune68.0ms (1.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New4385443
Fresh000
Picked112
Done000
Total4396445
Accuracy
100.0%
Counts
445 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.2%
(+.f64 x (+.f64 (*.f64 z y) (*.f64 z (neg.f64 x))))
100.0%
(+.f64 x (*.f64 (-.f64 y x) z))
62.4%
(+.f64 x (*.f64 (neg.f64 x) z))
80.0%
(+.f64 x (*.f64 z y))
62.5%
(*.f64 x (-.f64 #s(literal 1 binary64) z))
40.5%
x
Compiler

Compiled 94 to 62 computations (34% saved)

simplify49.0ms (1%)

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×fmm-def
44×cancel-sign-sub-inv
41×distribute-rgt-in
40×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021252
148236
288236
3147236
4256236
5437236
6750236
71057236
81207236
91224236
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

localize72.0ms (1.5%)

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))))
accuracy97.5%
(+.f64 (*.f64 z y) (*.f64 z (neg.f64 x)))
Results
48.0ms256×0valid
Compiler

Compiled 71 to 15 computations (78.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 12.0ms (60% of total)
ival-add: 5.0ms (25% of total)
ival-sub: 1.0ms (5% of total)
ival-neg: 1.0ms (5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series25.0ms (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
2.0ms
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
y
@0
(+ (* z y) (* z (neg x)))
0.0ms
x
@0
(* x (- 1 z))

rewrite185.0ms (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 z (*.f64 y (*.f64 z x))))))
(*.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 z (*.f64 y (*.f64 z x)))) (+.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 z (*.f64 y (*.f64 z 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 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 z (*.f64 y (*.f64 z x))))))
(/.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 z (*.f64 y (*.f64 z x))))))
(/.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 z (*.f64 y (*.f64 z x)))))
(/.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)))
(/.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))))
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(/.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)))

simplify289.0ms (6.2%)

Algorithm
egg-herbie
Rules
603×distribute-lft-neg-in
379×associate-*l*
367×fma-define
350×associate-*r*
253×sub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
063115395
1145414884
2604014823
Stop Event
node limit
Counts
574 → 378
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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(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) y))))
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(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x z))
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(+.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)
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#s(literal 1 binary64)
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(*.f64 y z)
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(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) x)))
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(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1 binary64))))
x
(+.f64 x (*.f64 y z))
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x
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x
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(/.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))))
(*.f64 x (-.f64 (*.f64 z (/.f64 y x)) 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 y (/.f64 z x))))
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(*.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 z (*.f64 (+.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) (fma.f64 z (+.f64 y x) (neg.f64 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 (-.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 z (+.f64 y x) (neg.f64 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 z (*.f64 (+.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) (fma.f64 z (+.f64 y x) (neg.f64 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 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (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 (*.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 z (*.f64 (+.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) (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))) (+.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 (pow.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 z x) (+.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 (-.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 z (+.f64 y x) (neg.f64 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 z (*.f64 (+.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) (fma.f64 z (+.f64 y x) (neg.f64 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 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 z (+.f64 y x) (neg.f64 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 (pow.f64 (fma.f64 z y x) #s(literal 2 binary64)) (-.f64 (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 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 z (+.f64 y x) (neg.f64 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)

eval57.0ms (1.2%)

Compiler

Compiled 5259 to 1109 computations (78.9% saved)

prune58.0ms (1.2%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New4193422
Fresh000
Picked235
Done011
Total4217428
Accuracy
100.0%
Counts
428 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.4%
(-.f64 x (*.f64 z x))
97.2%
(+.f64 x (-.f64 (*.f64 z y) (*.f64 z x)))
100.0%
(+.f64 x (*.f64 (-.f64 y x) z))
80.0%
(+.f64 x (*.f64 z y))
62.5%
(*.f64 x (-.f64 #s(literal 1 binary64) z))
24.4%
(*.f64 x (neg.f64 z))
40.5%
x
Compiler

Compiled 57 to 37 computations (35.1% saved)

simplify42.0ms (0.9%)

Algorithm
egg-herbie
Localize:

Found 8 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-diff0
(neg.f64 z)
cost-diff0
(*.f64 x (neg.f64 z))
Rules
315×fmm-def
281×fma-define
53×cancel-sign-sub-inv
49×sub-neg
45×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
017167
137163
263162
3126160
4206160
5371160
6711160
71080160
81200160
91226160
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 x (neg.f64 z))
x
(neg.f64 z)
z
(+.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 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

localize42.0ms (0.9%)

Localize:

Found 8 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)))
accuracy97.5%
(-.f64 (*.f64 z y) (*.f64 z x))
accuracy100.0%
(*.f64 x (neg.f64 z))
accuracy100.0%
(neg.f64 z)
Results
29.0ms256×0valid
Compiler

Compiled 47 to 11 computations (76.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 6.0ms (52% of total)
ival-sub: 2.0ms (17.3% of total)
ival-neg: 2.0ms (17.3% of total)
ival-add: 1.0ms (8.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series7.0ms (0.1%)

Counts
6 → 156
Calls
Call 1
Inputs
#<alt (*.f64 x (neg.f64 z))>
#<alt (neg.f64 z)>
#<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 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

39 calls:

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

rewrite143.0ms (3.1%)

Algorithm
batch-egg-rewrite
Rules
1125×log1p-expm1-u
1125×expm1-log1p-u
404×fmm-def
117×add-cube-cbrt
115×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017117
125698
2392098
Stop Event
node limit
Counts
6 → 258
Calls
Call 1
Inputs
(*.f64 x (neg.f64 z))
(neg.f64 z)
(-.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 x) z))
(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 (*.f64 z y) (*.f64 x z))
(+.f64 (*.f64 z y) (+.f64 (*.f64 x z) (+.f64 (*.f64 x z) (*.f64 x z))))
(+.f64 (*.f64 x z) (*.f64 z y))
(+.f64 (*.f64 z (-.f64 y x)) (+.f64 (*.f64 x z) (*.f64 x z)))
(+.f64 (*.f64 z (-.f64 y x)) (fma.f64 z x (*.f64 x z)))
(+.f64 (*.f64 z (-.f64 y x)) (fma.f64 (*.f64 x z) #s(literal 1 binary64) (*.f64 x z)))
(+.f64 (*.f64 z (-.f64 y x)) (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 z (-.f64 y x)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x z))) (sqrt.f64 (*.f64 x z)) (*.f64 x z)))
(+.f64 (*.f64 z (-.f64 y x)) (*.f64 (+.f64 (*.f64 x z) (*.f64 x z)) #s(literal 1 binary64)))
(+.f64 (*.f64 z (-.f64 y x)) (+.f64 (+.f64 (*.f64 x z) (*.f64 x z)) (+.f64 (*.f64 x z) (*.f64 x z))))
(+.f64 (+.f64 (*.f64 x z) (*.f64 x z)) (*.f64 z (-.f64 y x)))
(*.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 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 2 binary64)) (*.f64 (*.f64 z y) (*.f64 x z)))))
(*.f64 (-.f64 y x) z)
(*.f64 (+.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 x z))) (-.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 2 binary64)) (*.f64 (*.f64 z y) (*.f64 x z))) (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #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 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 2 binary64)) (*.f64 (*.f64 z y) (*.f64 x z))))
(/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 (*.f64 z y) (*.f64 x 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 y) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 2 binary64)) (*.f64 (*.f64 z y) (*.f64 x z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 (+.f64 (*.f64 x z) (*.f64 x z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 (*.f64 x z) (*.f64 x z)) (+.f64 (*.f64 x z) (*.f64 x z))) (*.f64 (*.f64 z (-.f64 y x)) (+.f64 (*.f64 x z) (*.f64 x z))))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 2 binary64)) (*.f64 (+.f64 (*.f64 x z) (*.f64 x z)) (+.f64 (*.f64 x z) (*.f64 x z)))) (-.f64 (*.f64 z (-.f64 y x)) (+.f64 (*.f64 x z) (*.f64 x z))))
(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)))))
(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 x z))
(fma.f64 z y (neg.f64 (-.f64 (*.f64 x z) (+.f64 (*.f64 x z) (*.f64 x z)))))
(fma.f64 z (-.f64 y x) (+.f64 (*.f64 x z) (*.f64 x z)))
(fma.f64 y z (*.f64 x z))
(fma.f64 y z (neg.f64 (-.f64 (*.f64 x z) (+.f64 (*.f64 x z) (*.f64 x z)))))
(fma.f64 (*.f64 z y) #s(literal 1 binary64) (*.f64 x z))
(fma.f64 (*.f64 z y) #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 x z) (+.f64 (*.f64 x z) (*.f64 x z)))))
(fma.f64 #s(literal 1 binary64) (*.f64 z y) (*.f64 x z))
(fma.f64 #s(literal 1 binary64) (*.f64 z y) (neg.f64 (-.f64 (*.f64 x z) (+.f64 (*.f64 x z) (*.f64 x z)))))
(fma.f64 #s(literal 1 binary64) (*.f64 z (-.f64 y x)) (+.f64 (*.f64 x z) (*.f64 x z)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (-.f64 y x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z (-.f64 y x))) (+.f64 (*.f64 x z) (*.f64 x z)))
(fma.f64 (cbrt.f64 (*.f64 z y)) (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64)) (*.f64 x z))
(fma.f64 (cbrt.f64 (*.f64 z y)) (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64)) (neg.f64 (-.f64 (*.f64 x z) (+.f64 (*.f64 x z) (*.f64 x z)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z y)) (*.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z y)) (neg.f64 (-.f64 (*.f64 x z) (+.f64 (*.f64 x z) (*.f64 x z)))))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) y) (*.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) y) (neg.f64 (-.f64 (*.f64 x z) (+.f64 (*.f64 x z) (*.f64 x z)))))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) z) (*.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) z) (neg.f64 (-.f64 (*.f64 x z) (+.f64 (*.f64 x z) (*.f64 x z)))))
(fma.f64 (sqrt.f64 (*.f64 z (-.f64 y x))) (sqrt.f64 (*.f64 z (-.f64 y x))) (+.f64 (*.f64 x z) (*.f64 x z)))
(fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z y)) (*.f64 x z))
(fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z y)) (neg.f64 (-.f64 (*.f64 x z) (+.f64 (*.f64 x z) (*.f64 x z)))))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) (*.f64 x z))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) (neg.f64 (-.f64 (*.f64 x z) (+.f64 (*.f64 x z) (*.f64 x z)))))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) (*.f64 x z))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) (neg.f64 (-.f64 (*.f64 x z) (+.f64 (*.f64 x z) (*.f64 x z)))))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 x z))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (neg.f64 (-.f64 (*.f64 x z) (+.f64 (*.f64 x z) (*.f64 x z)))))
(fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x z))
(fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 (-.f64 (*.f64 x z) (+.f64 (*.f64 x z) (*.f64 x z)))))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 x z))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (neg.f64 (-.f64 (*.f64 x z) (+.f64 (*.f64 x z) (*.f64 x z)))))
(fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x z))
(fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (neg.f64 (-.f64 (*.f64 x z) (+.f64 (*.f64 x z) (*.f64 x z)))))
(-.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 x) z))
(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 x (*.f64 z (-.f64 y x)))
(-.f64 (*.f64 z y) (fma.f64 x z (neg.f64 x)))
(-.f64 (fma.f64 z (-.f64 y x) x) (+.f64 (*.f64 x z) (*.f64 x z)))
(-.f64 (+.f64 x (*.f64 z y)) (*.f64 x z))
(-.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)) (fma.f64 z (-.f64 y x) x)) (/.f64 (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 2 binary64)) (fma.f64 z (-.f64 y x) x)))
(-.f64 (-.f64 x (*.f64 z y)) (*.f64 x z))
(*.f64 (fma.f64 z (-.f64 y x) x) #s(literal 1 binary64))
(*.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)) (fma.f64 z (-.f64 y x) (neg.f64 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)) (fma.f64 z (-.f64 y x) (neg.f64 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)) (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))) (+.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)) (fma.f64 z (-.f64 y x) (neg.f64 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))) (fma.f64 z (-.f64 y x) (neg.f64 x)))
(/.f64 (fma.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 x #s(literal 1 binary64) (neg.f64 (*.f64 z (-.f64 y x))))
(fma.f64 z y (neg.f64 (fma.f64 x z (neg.f64 x))))
(fma.f64 z (-.f64 y x) x)
(fma.f64 y z (neg.f64 (fma.f64 x z (neg.f64 x))))
(fma.f64 (*.f64 z y) #s(literal 1 binary64) (neg.f64 (fma.f64 x z (neg.f64 x))))
(fma.f64 (fma.f64 z (-.f64 y x) x) #s(literal 1 binary64) (neg.f64 (+.f64 (*.f64 x z) (*.f64 x z))))
(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 y) (neg.f64 (fma.f64 x z (neg.f64 x))))
(fma.f64 #s(literal 1 binary64) (*.f64 z (-.f64 y x)) x)
(fma.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 y x) x) (neg.f64 (+.f64 (*.f64 x z) (*.f64 x z))))
(fma.f64 #s(literal 1 binary64) (+.f64 x (*.f64 z y)) (*.f64 x z))
(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 (cbrt.f64 (fma.f64 z (-.f64 y x) x)) (pow.f64 (cbrt.f64 (fma.f64 z (-.f64 y x) x)) #s(literal 2 binary64)) (neg.f64 (+.f64 (*.f64 x z) (*.f64 x z))))
(fma.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)) (neg.f64 (+.f64 (*.f64 x z) (*.f64 x z))))
(fma.f64 (cbrt.f64 (*.f64 z y)) (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64)) (neg.f64 (fma.f64 x z (neg.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z y)) (neg.f64 (fma.f64 x z (neg.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) y) (neg.f64 (fma.f64 x z (neg.f64 x))))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (*.f64 z (-.f64 y 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 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) z) (neg.f64 (fma.f64 x z (neg.f64 x))))
(fma.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)) (neg.f64 (+.f64 (*.f64 x z) (*.f64 x z))))
(fma.f64 (sqrt.f64 (*.f64 z (-.f64 y x))) (sqrt.f64 (*.f64 z (-.f64 y x))) x)
(fma.f64 (sqrt.f64 (fma.f64 z (-.f64 y x) x)) (sqrt.f64 (fma.f64 z (-.f64 y x) x)) (neg.f64 (+.f64 (*.f64 x z) (*.f64 x z))))
(fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z y)) (neg.f64 (fma.f64 x z (neg.f64 x))))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) (neg.f64 (fma.f64 x z (neg.f64 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))))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) (neg.f64 (fma.f64 x z (neg.f64 x))))
(fma.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))))) (neg.f64 (+.f64 (*.f64 x z) (*.f64 x z))))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 x (*.f64 z y))) (cbrt.f64 (+.f64 x (*.f64 z y)))) (cbrt.f64 (+.f64 x (*.f64 z y))) (*.f64 x z))
(fma.f64 (sqrt.f64 (+.f64 x (*.f64 z y))) (sqrt.f64 (+.f64 x (*.f64 z y))) (*.f64 x z))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (-.f64 y x)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (-.f64 y x)))) (neg.f64 (+.f64 (*.f64 x z) (*.f64 x z))))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (neg.f64 (fma.f64 x z (neg.f64 x))))
(fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 (fma.f64 x z (neg.f64 x))))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (neg.f64 (fma.f64 x z (neg.f64 x))))
(fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (neg.f64 (fma.f64 x z (neg.f64 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 x #s(literal 1 binary64) (*.f64 x z))
(fma.f64 #s(literal 1 binary64) x (*.f64 x z))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.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))

simplify322.0ms (6.9%)

Algorithm
egg-herbie
Rules
342×fma-define
330×associate-*r*
322×associate-*l*
283×div-sub
258×sub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
050911740
1124810931
2557910912
Stop Event
node limit
Counts
414 → 330
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))
(*.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))
(*.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))
(*.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))
(*.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))
(*.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))
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.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))
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(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (neg.f64 (-.f64 (*.f64 x z) (+.f64 (*.f64 x z) (*.f64 x z)))))
(fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x z))
(fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 (-.f64 (*.f64 x z) (+.f64 (*.f64 x z) (*.f64 x z)))))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 x z))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (neg.f64 (-.f64 (*.f64 x z) (+.f64 (*.f64 x z) (*.f64 x z)))))
(fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x z))
(fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (neg.f64 (-.f64 (*.f64 x z) (+.f64 (*.f64 x z) (*.f64 x z)))))
(-.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 x) z))
(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 x (*.f64 z (-.f64 y x)))
(-.f64 (*.f64 z y) (fma.f64 x z (neg.f64 x)))
(-.f64 (fma.f64 z (-.f64 y x) x) (+.f64 (*.f64 x z) (*.f64 x z)))
(-.f64 (+.f64 x (*.f64 z y)) (*.f64 x z))
(-.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)) (fma.f64 z (-.f64 y x) x)) (/.f64 (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 2 binary64)) (fma.f64 z (-.f64 y x) x)))
(-.f64 (-.f64 x (*.f64 z y)) (*.f64 x z))
(*.f64 (fma.f64 z (-.f64 y x) x) #s(literal 1 binary64))
(*.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)) (fma.f64 z (-.f64 y x) (neg.f64 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)) (fma.f64 z (-.f64 y x) (neg.f64 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)) (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))) (+.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)) (fma.f64 z (-.f64 y x) (neg.f64 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))) (fma.f64 z (-.f64 y x) (neg.f64 x)))
(/.f64 (fma.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 x #s(literal 1 binary64) (neg.f64 (*.f64 z (-.f64 y x))))
(fma.f64 z y (neg.f64 (fma.f64 x z (neg.f64 x))))
(fma.f64 z (-.f64 y x) x)
(fma.f64 y z (neg.f64 (fma.f64 x z (neg.f64 x))))
(fma.f64 (*.f64 z y) #s(literal 1 binary64) (neg.f64 (fma.f64 x z (neg.f64 x))))
(fma.f64 (fma.f64 z (-.f64 y x) x) #s(literal 1 binary64) (neg.f64 (+.f64 (*.f64 x z) (*.f64 x z))))
(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 y) (neg.f64 (fma.f64 x z (neg.f64 x))))
(fma.f64 #s(literal 1 binary64) (*.f64 z (-.f64 y x)) x)
(fma.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 y x) x) (neg.f64 (+.f64 (*.f64 x z) (*.f64 x z))))
(fma.f64 #s(literal 1 binary64) (+.f64 x (*.f64 z y)) (*.f64 x z))
(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 (cbrt.f64 (fma.f64 z (-.f64 y x) x)) (pow.f64 (cbrt.f64 (fma.f64 z (-.f64 y x) x)) #s(literal 2 binary64)) (neg.f64 (+.f64 (*.f64 x z) (*.f64 x z))))
(fma.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)) (neg.f64 (+.f64 (*.f64 x z) (*.f64 x z))))
(fma.f64 (cbrt.f64 (*.f64 z y)) (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64)) (neg.f64 (fma.f64 x z (neg.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z y)) (neg.f64 (fma.f64 x z (neg.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) y) (neg.f64 (fma.f64 x z (neg.f64 x))))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (*.f64 z (-.f64 y 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 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) z) (neg.f64 (fma.f64 x z (neg.f64 x))))
(fma.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)) (neg.f64 (+.f64 (*.f64 x z) (*.f64 x z))))
(fma.f64 (sqrt.f64 (*.f64 z (-.f64 y x))) (sqrt.f64 (*.f64 z (-.f64 y x))) x)
(fma.f64 (sqrt.f64 (fma.f64 z (-.f64 y x) x)) (sqrt.f64 (fma.f64 z (-.f64 y x) x)) (neg.f64 (+.f64 (*.f64 x z) (*.f64 x z))))
(fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z y)) (neg.f64 (fma.f64 x z (neg.f64 x))))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) (neg.f64 (fma.f64 x z (neg.f64 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))))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) (neg.f64 (fma.f64 x z (neg.f64 x))))
(fma.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))))) (neg.f64 (+.f64 (*.f64 x z) (*.f64 x z))))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 x (*.f64 z y))) (cbrt.f64 (+.f64 x (*.f64 z y)))) (cbrt.f64 (+.f64 x (*.f64 z y))) (*.f64 x z))
(fma.f64 (sqrt.f64 (+.f64 x (*.f64 z y))) (sqrt.f64 (+.f64 x (*.f64 z y))) (*.f64 x z))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (-.f64 y x)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (-.f64 y x)))) (neg.f64 (+.f64 (*.f64 x z) (*.f64 x z))))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (neg.f64 (fma.f64 x z (neg.f64 x))))
(fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 (fma.f64 x z (neg.f64 x))))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (neg.f64 (fma.f64 x z (neg.f64 x))))
(fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (neg.f64 (fma.f64 x z (neg.f64 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 x #s(literal 1 binary64) (*.f64 x z))
(fma.f64 #s(literal 1 binary64) x (*.f64 x z))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.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))
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(fma.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))))) (neg.f64 (+.f64 (*.f64 x z) (*.f64 x z))))
(-.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 x x (*.f64 (*.f64 z (-.f64 y x)) (fma.f64 z (-.f64 y x) (neg.f64 x))))) (*.f64 #s(literal 2 binary64) (*.f64 x z)))
(+.f64 (/.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 y x) (*.f64 z (fma.f64 z (-.f64 y x) (neg.f64 x)))))) (*.f64 (*.f64 x z) #s(literal -2 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 x (*.f64 z y))) (cbrt.f64 (+.f64 x (*.f64 z y)))) (cbrt.f64 (+.f64 x (*.f64 z y))) (*.f64 x z))
(fma.f64 #s(literal 1 binary64) (+.f64 x (*.f64 z y)) (*.f64 x z))
(+.f64 (*.f64 x z) (fma.f64 z y x))
(fma.f64 (sqrt.f64 (+.f64 x (*.f64 z y))) (sqrt.f64 (+.f64 x (*.f64 z y))) (*.f64 x z))
(fma.f64 #s(literal 1 binary64) (+.f64 x (*.f64 z y)) (*.f64 x z))
(+.f64 (*.f64 x z) (fma.f64 z y x))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (-.f64 y x)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (-.f64 y x)))) (neg.f64 (+.f64 (*.f64 x z) (*.f64 x z))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 z (-.f64 y x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (-.f64 y x)))) (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 x z))))
(+.f64 (-.f64 x (*.f64 z (-.f64 y x))) (*.f64 (*.f64 x z) #s(literal -2 binary64)))
(-.f64 (+.f64 x (*.f64 z (-.f64 x y))) (*.f64 x (*.f64 z #s(literal 2 binary64))))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (neg.f64 (fma.f64 x z (neg.f64 x))))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) (*.f64 z y))
(fma.f64 z (-.f64 y x) x)
(fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 (fma.f64 x z (neg.f64 x))))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) (*.f64 z y))
(fma.f64 z (-.f64 y x) x)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (neg.f64 (fma.f64 x z (neg.f64 x))))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) (*.f64 z y))
(fma.f64 z (-.f64 y x) x)
(fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (neg.f64 (fma.f64 x z (neg.f64 x))))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) (*.f64 z y))
(fma.f64 z (-.f64 y x) x)
(+.f64 x (*.f64 x z))
(fma.f64 x z x)
(+.f64 (*.f64 x z) x)
(fma.f64 x z x)
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) z)) (+.f64 (*.f64 x z) (*.f64 x z)))
(fma.f64 x (+.f64 z #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x z)))
(+.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x z)))
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) z)) (fma.f64 z x (*.f64 x z)))
(fma.f64 x (+.f64 z #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x z)))
(+.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x z)))
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) z)) (fma.f64 (*.f64 x z) #s(literal 1 binary64) (*.f64 x z)))
(fma.f64 x (+.f64 z #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x z)))
(+.f64 x (*.f64 #s(literal 3 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)))
(fma.f64 x z x)
(+.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)))
(fma.f64 x z x)
(*.f64 x (+.f64 #s(literal 1 binary64) z))
(fma.f64 x z x)
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))
(fma.f64 x z x)
(*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) z)))
(fma.f64 x z x)
(*.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)))
(fma.f64 x z x)
(*.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))))
(fma.f64 x z x)
(*.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) z))) (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) z))))
(fma.f64 x z x)
(*.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 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (+.f64 z #s(literal 1 binary64))) #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 (fma.f64 x z x) #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))))
(fma.f64 x z x)
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x z))))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 (+.f64 z #s(literal 1 binary64)) x)
(fma.f64 x z 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 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (+.f64 z #s(literal 1 binary64))) #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 (fma.f64 x z x) #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))))
(fma.f64 x z x)
(/.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 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (+.f64 z #s(literal 1 binary64))) #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 (fma.f64 x z x) #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)))
(fma.f64 x z x)
(/.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 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (+.f64 z #s(literal 1 binary64))) #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 (fma.f64 x z x) #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))))
(fma.f64 x z x)
(pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))
(fma.f64 x z x)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) z))) #s(literal 3 binary64))
(fma.f64 x z x)
(pow.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x z x)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64))
(fma.f64 x z x)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))
(fma.f64 x z x)
(log.f64 (exp.f64 (*.f64 x (+.f64 #s(literal 1 binary64) z))))
(fma.f64 x z x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 #s(literal 1 binary64) z)))))
(fma.f64 x z x)
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)))
(fma.f64 x z x)
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) z))))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 z #s(literal 1 binary64)))))
(expm1.f64 (log1p.f64 (fma.f64 x z x)))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 #s(literal 1 binary64) z))))
(fma.f64 x z x)
(exp.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) z))))
(fma.f64 x z x)
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64)))
(fma.f64 x z x)
(fma.f64 x #s(literal 1 binary64) (*.f64 x z))
(fma.f64 x z x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x z))
(fma.f64 x z x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.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)

eval48.0ms (1%)

Compiler

Compiled 4881 to 852 computations (82.5% saved)

prune53.0ms (1.1%)

Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New3431344
Fresh000
Picked033
Done044
Total3438351
Accuracy
100.0%
Counts
351 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.4%
(-.f64 x (*.f64 z x))
97.2%
(+.f64 x (-.f64 (*.f64 z y) (*.f64 z x)))
100.0%
(+.f64 x (*.f64 (-.f64 y x) z))
80.0%
(+.f64 x (*.f64 z y))
62.5%
(*.f64 x (-.f64 #s(literal 1 binary64) z))
24.4%
(*.f64 x (neg.f64 z))
4.5%
(*.f64 x z)
40.5%
x
Compiler

Compiled 63 to 41 computations (34.9% saved)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 1 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize15.0ms (0.3%)

Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x z)
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 (77.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series1.0ms (0%)

Counts
1 → 0
Calls
Call 1
Inputs
#<alt (*.f64 x z)>
Outputs
Calls

6 calls:

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

rewrite70.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
502×associate-*r*
437×associate-*l*
251×log1p-expm1-u
251×expm1-log1p-u
247×unpow-prod-down
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
16513
270613
Stop Event
node limit
Counts
1 → 25
Calls
Call 1
Inputs
(*.f64 x z)
Outputs
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x z))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) z))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x z)) (+.f64 #s(literal 1 binary64) (*.f64 x z))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x z)) (+.f64 #s(literal 1 binary64) (*.f64 x z))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.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 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x z)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 x z)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x z))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x z))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x z)))) (sqrt.f64 (log.f64 (*.f64 x z))))
(sqrt.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)))
(fabs.f64 (*.f64 x z))
(log.f64 (pow.f64 (exp.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 (cbrt.f64 (*.f64 x z))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x z))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x z))) #s(literal 2 binary64)))

simplify65.0ms (1.4%)

Algorithm
egg-herbie
Rules
663×cancel-sign-sub-inv
429×sub-neg
429×times-frac
381×prod-exp
301×div-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
079805
1160547
2460533
32185533
44666533
Stop Event
node limit
Counts
25 → 33
Calls
Call 1
Inputs
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x z))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) z))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x z)) (+.f64 #s(literal 1 binary64) (*.f64 x z))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x z)) (+.f64 #s(literal 1 binary64) (*.f64 x z))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.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 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x z)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 x z)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x z))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x z))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x z)))) (sqrt.f64 (log.f64 (*.f64 x z))))
(sqrt.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)))
(fabs.f64 (*.f64 x z))
(log.f64 (pow.f64 (exp.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 (cbrt.f64 (*.f64 x z))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x z))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x z))) #s(literal 2 binary64)))
Outputs
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal -1 binary64))
(*.f64 x z)
(+.f64 #s(literal 0 binary64) (*.f64 x z))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal -1 binary64))
(*.f64 x z)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) z))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 z #s(literal 2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) z))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 z #s(literal 2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) z))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) z))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal -1 binary64))
(*.f64 x z)
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x z)) (+.f64 #s(literal 1 binary64) (*.f64 x z))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 x z)) (+.f64 #s(literal 1 binary64) (*.f64 x z)) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x z)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x z #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 x z #s(literal 1 binary64)) (fma.f64 x z #s(literal 1 binary64)) (+.f64 (*.f64 x z) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x z #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x z #s(literal 1 binary64)) (fma.f64 x z #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x z)) (+.f64 #s(literal 1 binary64) (*.f64 x z))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal -1 binary64))
(*.f64 x z)
(pow.f64 (*.f64 x z) #s(literal 1 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal -1 binary64))
(*.f64 x z)
(pow.f64 (cbrt.f64 (*.f64 x z)) #s(literal 3 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal -1 binary64))
(*.f64 x z)
(pow.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal -1 binary64))
(*.f64 x z)
(pow.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal -1 binary64))
(*.f64 x z)
(pow.f64 (sqrt.f64 (*.f64 x z)) #s(literal 2 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal -1 binary64))
(*.f64 x z)
(pow.f64 (E.f64) (log.f64 (*.f64 x z)))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal -1 binary64))
(*.f64 x z)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x z))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x z))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x z)))) (sqrt.f64 (log.f64 (*.f64 x z))))
(sqrt.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal -1 binary64))
(*.f64 x z)
(fabs.f64 (*.f64 x z))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal -1 binary64))
(*.f64 x z)
(log.f64 (pow.f64 (exp.f64 x) z))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal -1 binary64))
(*.f64 x z)
(cbrt.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal -1 binary64))
(*.f64 x z)
(expm1.f64 (log1p.f64 (*.f64 x z)))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal -1 binary64))
(*.f64 x z)
(log1p.f64 (expm1.f64 (*.f64 x z)))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal -1 binary64))
(*.f64 x z)
(exp.f64 (log.f64 (*.f64 x z)))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal -1 binary64))
(*.f64 x z)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x z))) #s(literal 3 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal -1 binary64))
(*.f64 x z)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x z))) #s(literal 1/3 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal -1 binary64))
(*.f64 x z)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x z))) #s(literal 2 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal -1 binary64))
(*.f64 x z)

eval4.0ms (0.1%)

Compiler

Compiled 346 to 102 computations (70.5% saved)

prune10.0ms (0.2%)

Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New33033
Fresh000
Picked011
Done077
Total33841
Accuracy
100.0%
Counts
41 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.4%
(-.f64 x (*.f64 z x))
97.2%
(+.f64 x (-.f64 (*.f64 z y) (*.f64 z x)))
100.0%
(+.f64 x (*.f64 (-.f64 y x) z))
80.0%
(+.f64 x (*.f64 z y))
62.5%
(*.f64 x (-.f64 #s(literal 1 binary64) z))
24.4%
(*.f64 x (neg.f64 z))
4.5%
(*.f64 x z)
40.5%
x
Compiler

Compiled 127 to 66 computations (48% saved)

regimes33.0ms (0.7%)

Counts
11 → 1
Calls
Call 1
Inputs
x
(*.f64 x z)
(*.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 x (*.f64 (-.f64 y x) z))
(+.f64 x (-.f64 (*.f64 z y) (*.f64 z x)))
(+.f64 x (+.f64 (*.f64 z y) (*.f64 z (neg.f64 x))))
(fma.f64 (-.f64 y x) z x)
Outputs
(fma.f64 (-.f64 y x) z x)
Calls

4 calls:

20.0ms
x
4.0ms
y
4.0ms
(+.f64 x (*.f64 (-.f64 y x) z))
4.0ms
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)

regimes53.0ms (1.1%)

Counts
10 → 1
Calls
Call 1
Inputs
x
(*.f64 x z)
(*.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 x (*.f64 (-.f64 y x) z))
(+.f64 x (-.f64 (*.f64 z y) (*.f64 z x)))
(+.f64 x (+.f64 (*.f64 z y) (*.f64 z (neg.f64 x))))
Outputs
(+.f64 x (*.f64 (-.f64 y x) z))
Calls

4 calls:

4.0ms
y
4.0ms
z
4.0ms
x
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)

regimes9.0ms (0.2%)

Counts
7 → 3
Calls
Call 1
Inputs
x
(*.f64 x z)
(*.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))
Outputs
(+.f64 x (*.f64 z y))
(-.f64 x (*.f64 z x))
(+.f64 x (*.f64 z y))
Calls

3 calls:

3.0ms
x
3.0ms
z
3.0ms
y
Results
AccuracySegmentsBranch
87.9%3x
91.0%3y
82.0%2z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0.1%)

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

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
91.0%3y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0.1%)

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

3 calls:

2.0ms
x
2.0ms
y
2.0ms
z
Results
AccuracySegmentsBranch
62.5%1z
62.5%1x
62.5%1y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0.2%)

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

3 calls:

3.0ms
x
2.0ms
y
2.0ms
z
Results
AccuracySegmentsBranch
40.5%1y
61.5%3z
40.5%1x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0.1%)

Accuracy

Total -24.3b remaining (-63.9%)

Threshold costs -24.3b (-63.9%)

Counts
2 → 1
Calls
Call 1
Inputs
x
(*.f64 x z)
Outputs
x
Calls

2 calls:

1.0ms
z
1.0ms
y
Results
AccuracySegmentsBranch
40.5%1y
40.5%1z
Compiler

Compiled 8 to 6 computations (25% saved)

bsearch23.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
9.0ms
2.0943312978728375e-76
3.71969244721847e-75
13.0ms
-5.865720919971656e+21
-563101847550758.3
Results
14.0ms256×0valid
Compiler

Compiled 304 to 203 computations (33.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sub: 2.0ms (37.8% of total)
ival-mult: 2.0ms (37.8% of total)
ival-add: 1.0ms (18.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch24.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
9.0ms
2.0943312978728375e-76
3.71969244721847e-75
14.0ms
-5.865720919971656e+21
-563101847550758.3
Results
15.0ms256×0valid
Compiler

Compiled 304 to 219 computations (28% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sub: 2.0ms (38.5% of total)
ival-mult: 2.0ms (38.5% of total)
ival-add: 1.0ms (19.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch27.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
0.9713941078127518
821792.6207257854
13.0ms
-17899.81567544869
-0.014822574971447438
Results
16.0ms288×0valid
Compiler

Compiled 250 to 191 computations (23.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 4.0ms (55.4% of total)
ival-sub: 2.0ms (27.7% of total)
ival-add: 2.0ms (27.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify8.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
044280
177280
289280
394280
496280
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (-.f64 y x) z x)
(+.f64 x (*.f64 (-.f64 y x) z))
(if (<=.f64 y #s(literal -92000000000000000 binary64)) (+.f64 x (*.f64 z y)) (if (<=.f64 y #s(literal 7822218149124427/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016 binary64)) (-.f64 x (*.f64 z x)) (+.f64 x (*.f64 z y))))
(if (<=.f64 y #s(literal -600000000000000 binary64)) (+.f64 x (*.f64 z y)) (if (<=.f64 y #s(literal 7496292392910909/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) z)) (+.f64 x (*.f64 z y))))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(if (<=.f64 z #s(literal -1 binary64)) (*.f64 x (neg.f64 z)) (if (<=.f64 z #s(literal 1 binary64)) x (*.f64 x (neg.f64 z))))
x
Outputs
(fma.f64 (-.f64 y x) z x)
(+.f64 x (*.f64 (-.f64 y x) z))
(if (<=.f64 y #s(literal -92000000000000000 binary64)) (+.f64 x (*.f64 z y)) (if (<=.f64 y #s(literal 7822218149124427/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016 binary64)) (-.f64 x (*.f64 z x)) (+.f64 x (*.f64 z y))))
(if (or (<=.f64 y #s(literal -92000000000000000 binary64)) (not (<=.f64 y #s(literal 7822218149124427/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016 binary64)))) (+.f64 x (*.f64 y z)) (-.f64 x (*.f64 x z)))
(if (<=.f64 y #s(literal -600000000000000 binary64)) (+.f64 x (*.f64 z y)) (if (<=.f64 y #s(literal 7496292392910909/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) z)) (+.f64 x (*.f64 z y))))
(if (or (<=.f64 y #s(literal -600000000000000 binary64)) (not (<=.f64 y #s(literal 7496292392910909/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016 binary64)))) (+.f64 x (*.f64 y z)) (*.f64 x (-.f64 #s(literal 1 binary64) z)))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(if (<=.f64 z #s(literal -1 binary64)) (*.f64 x (neg.f64 z)) (if (<=.f64 z #s(literal 1 binary64)) x (*.f64 x (neg.f64 z))))
(if (or (<=.f64 z #s(literal -1 binary64)) (not (<=.f64 z #s(literal 1 binary64)))) (*.f64 x (neg.f64 z)) x)
x

soundness897.0ms (19.1%)

Rules
1183×fmm-def
981×log1p-expm1-u
886×expm1-log1p-u
603×distribute-lft-neg-in
389×fmm-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
054615558
1120314092
2365513806
063115395
1145414884
2604014823
021186
1338156
24995156
036377
178321
2237317
3843317
41879317
53212317
63515317
73547317
83547317
94182317
104182317
Stop Event
done
saturated
node limit
node limit
node limit
Compiler

Compiled 182 to 89 computations (51.1% saved)

preprocess125.0ms (2.7%)

Compiler

Compiled 168 to 84 computations (50% saved)

end0.0ms (0%)

Profiling

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