Diagrams.Color.HSV:lerp from diagrams-contrib-1.3.0.5

Time bar (total: 5.7s)

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 10 computations (9.1% saved)

sample1.1s (18.9%)

Results
778.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 262.0ms
ival-mult: 120.0ms (45.8% of total)
ival-sub: 92.0ms (35.1% of total)
ival-add: 36.0ms (13.7% of total)
ival-true: 7.0ms (2.7% of total)
ival-assert: 4.0ms (1.5% of total)
...in/eval/compile.rkt:70:19: 3.0ms (1.1% of total)
Bogosity

preprocess210.0ms (3.7%)

Algorithm
egg-herbie
Rules
1182×fmm-def
301×fma-define
196×distribute-rgt-in
165×unsub-neg
133×distribute-lft-in
Iterations

Useful iterations: 9 (0.0ms)

IterNodesCost
040399
1102387
2236379
3681351
41705339
52867337
63236337
73276337
83280337
93280317
103923317
113923317
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) y) (*.f64 (neg.f64 x) z))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 y)) (*.f64 x z))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x (neg.f64 z)))
(neg.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) y) (*.f64 (neg.f64 x) z)))
(neg.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 y)) (*.f64 x z)))
(neg.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x (neg.f64 z))))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 y z))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) (*.f64 z x))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) (*.f64 x y))
Outputs
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 x z))
(fma.f64 x z (*.f64 (-.f64 #s(literal 1 binary64) x) y))
(-.f64 y (*.f64 x (-.f64 y z)))
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 x z))
(fma.f64 x z (*.f64 (-.f64 #s(literal 1 binary64) x) y))
(-.f64 y (*.f64 x (-.f64 y z)))
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) y) (*.f64 (neg.f64 x) z))
(fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) y (*.f64 x (neg.f64 z)))
(-.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) (*.f64 x z))
(+.f64 y (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) y)
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 y)) (*.f64 x z))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 y) (*.f64 x z))
(-.f64 (*.f64 x z) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
(fma.f64 x z (*.f64 y (+.f64 x #s(literal -1 binary64))))
(-.f64 (*.f64 x (+.f64 y z)) y)
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x (neg.f64 z)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 x (neg.f64 z)))
(-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
(-.f64 y (*.f64 x (+.f64 y z)))
(neg.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) y) (*.f64 (neg.f64 x) z)))
(neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) y (*.f64 x (neg.f64 z))))
(-.f64 (*.f64 x z) (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 y (-.f64 #s(literal -1 binary64) x) (*.f64 x z))
(-.f64 (*.f64 x (-.f64 z y)) y)
(neg.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 y)) (*.f64 x z)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 x (neg.f64 z)))
(-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
(-.f64 y (*.f64 x (+.f64 y z)))
(neg.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x (neg.f64 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 y) (*.f64 x z))
(-.f64 (*.f64 x z) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
(fma.f64 x z (*.f64 y (+.f64 x #s(literal -1 binary64))))
(-.f64 (*.f64 x (+.f64 y z)) y)
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 y z))
(fma.f64 (-.f64 #s(literal 1 binary64) y) x (*.f64 y z))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 y z))
(+.f64 x (*.f64 y (-.f64 z x)))
(fma.f64 y (-.f64 z x) x)
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) (*.f64 z x))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 x z))
(fma.f64 x z (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 x z))
(-.f64 y (*.f64 z (-.f64 y x)))
(+.f64 y (*.f64 z (-.f64 x y)))
(fma.f64 z (-.f64 x y) y)
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) (*.f64 x y))
(fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 x y))
(fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)

explain188.0ms (3.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
20-0-(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
00-0-y
00-0-(*.f64 (-.f64 #s(literal 1 binary64) x) y)
00-0-(-.f64 #s(literal 1 binary64) x)
00-0-#s(literal 1 binary64)
00-0-z
00-0-(*.f64 x z)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))nan-rescue20
(*.f64 (-.f64 #s(literal 1 binary64) x) y)overflow29
(*.f64 x z)overflow32
Confusion
Predicted +Predicted -
+20
-0254
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+200
-00254
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0254
12
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Results
78.0ms512×0valid
Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-add: 45.0ms (80.4% of total)
ival-mult: 7.0ms (12.5% of total)
ival-sub: 3.0ms (5.4% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 39 to 16 computations (59% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 x (-.f64 z y) y)
100.0%
(-.f64 y (*.f64 x (-.f64 y z)))
99.2%
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
Compiler

Compiled 31 to 19 computations (38.7% saved)

simplify68.0ms (1.2%)

Algorithm
egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
cost-diff-128
(fma.f64 x (-.f64 z y) y)
cost-diff0
(-.f64 z y)
cost-diff-6272
(-.f64 y (*.f64 x (-.f64 y z)))
cost-diff0
(-.f64 y z)
cost-diff0
(*.f64 x (-.f64 y z))
cost-diff-6144
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
cost-diff0
(*.f64 x z)
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
Rules
252×fma-define
233×fmm-def
44×distribute-rgt-in
39×sub-neg
37×unsub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
020226
143226
286208
3204208
4405208
5685208
6994208
71141208
81153208
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
(*.f64 x z)
z
(-.f64 y (*.f64 x (-.f64 y z)))
y
(*.f64 x (-.f64 y z))
x
(-.f64 y z)
z
(fma.f64 x (-.f64 z y) y)
x
(-.f64 z y)
z
y
Outputs
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 x z))
(fma.f64 x (-.f64 z y) y)
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
(*.f64 x z)
z
(-.f64 y (*.f64 x (-.f64 y z)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 x z))
(fma.f64 x (-.f64 z y) y)
y
(*.f64 x (-.f64 y z))
x
(-.f64 y z)
z
(fma.f64 x (-.f64 z y) y)
(fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 x z))
x
(-.f64 z y)
z
y

localize118.0ms (2.1%)

Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 z y)
accuracy100.0%
(fma.f64 x (-.f64 z y) y)
accuracy100.0%
(-.f64 y z)
accuracy100.0%
(*.f64 x (-.f64 y z))
accuracy100.0%
(-.f64 y (*.f64 x (-.f64 y z)))
accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
accuracy100.0%
(*.f64 x z)
accuracy100.0%
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
accuracy99.2%
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
Results
104.0ms256×0valid
Compiler

Compiled 56 to 15 computations (73.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-sub: 5.0ms (35.3% of total)
ival-mult: 5.0ms (35.3% of total)
ival-fma: 3.0ms (21.2% of total)
ival-add: 1.0ms (7.1% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series46.0ms (0.8%)

Counts
9 → 210
Calls
Call 1
Inputs
#<alt (*.f64 (-.f64 #s(literal 1 binary64) x) y)>
#<alt (-.f64 #s(literal 1 binary64) x)>
#<alt (*.f64 x z)>
#<alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))>
#<alt (*.f64 x (-.f64 y z))>
#<alt (-.f64 y z)>
#<alt (-.f64 y (*.f64 x (-.f64 y z)))>
#<alt (-.f64 z y)>
#<alt (fma.f64 x (-.f64 z y) y)>
Outputs
#<alt y>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<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 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 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 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 #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) 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) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt y>
#<alt (+.f64 y (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) y))))>
#<alt (+.f64 y (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) y))))>
#<alt (+.f64 y (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) y)))>
#<alt (*.f64 x (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x))))>
#<alt (*.f64 x (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x))))>
#<alt (*.f64 x (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 y x))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 y x))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 y x))))))>
#<alt (*.f64 x z)>
#<alt (+.f64 (*.f64 x z) (*.f64 y (-.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (*.f64 x z) (*.f64 y (-.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (*.f64 x z) (*.f64 y (-.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)) x))>
#<alt (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)) x))>
#<alt (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)) x))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 (*.f64 x z) (*.f64 y (-.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (*.f64 x z) (*.f64 y (-.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (*.f64 x z) (*.f64 y (-.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x z)>
#<alt (*.f64 z (+.f64 x (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) z)))>
#<alt (*.f64 z (+.f64 x (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) z)))>
#<alt (*.f64 z (+.f64 x (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) z)))>
#<alt (*.f64 x z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x z))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) 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 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 z y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 z y) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 z y) #s(literal 1 binary64))))>
#<alt y>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) z))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) z))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) z))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 z (-.f64 (/.f64 y z) #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 (/.f64 y z) #s(literal 1 binary64)))>
#<alt (*.f64 z (-.f64 (/.f64 y 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) (/.f64 y z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))>
#<alt (*.f64 x z)>
#<alt (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (*.f64 x z)))>
#<alt (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (*.f64 x z)))>
#<alt (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (*.f64 x z)))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)) x))>
#<alt (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)) x))>
#<alt (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))>
#<alt y>
#<alt (+.f64 y (*.f64 x (-.f64 z y)))>
#<alt (+.f64 y (*.f64 x (-.f64 z y)))>
#<alt (+.f64 y (*.f64 x (-.f64 z y)))>
#<alt (*.f64 x (-.f64 z y))>
#<alt (*.f64 x (-.f64 (+.f64 z (/.f64 y x)) y))>
#<alt (*.f64 x (-.f64 (+.f64 z (/.f64 y x)) y))>
#<alt (*.f64 x (-.f64 (+.f64 z (/.f64 y x)) y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 #s(literal -1 binary64) (-.f64 y z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 #s(literal -1 binary64) (-.f64 y z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 #s(literal -1 binary64) (-.f64 y z)))))>
#<alt (-.f64 y (*.f64 x y))>
#<alt (-.f64 (+.f64 y (*.f64 x z)) (*.f64 x y))>
#<alt (-.f64 (+.f64 y (*.f64 x z)) (*.f64 x y))>
#<alt (-.f64 (+.f64 y (*.f64 x z)) (*.f64 x y))>
#<alt (*.f64 x z)>
#<alt (*.f64 z (-.f64 (/.f64 y z) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 z (-.f64 (/.f64 y z) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 z (-.f64 (/.f64 y z) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 x z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (*.f64 x y)) z)) x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (*.f64 x y)) z)) x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (*.f64 x y)) z)) x)))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt z>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z))))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z))))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z))))>
#<alt z>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 y z) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 y z) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (/.f64 y z) #s(literal 1 binary64))))>
#<alt z>
#<alt (+.f64 z (*.f64 #s(literal -1 binary64) y))>
#<alt (+.f64 z (*.f64 #s(literal -1 binary64) y))>
#<alt (+.f64 z (*.f64 #s(literal -1 binary64) y))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 y (-.f64 (/.f64 z y) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 z y) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 z y) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))>
#<alt y>
#<alt (+.f64 y (*.f64 x (-.f64 z y)))>
#<alt (+.f64 y (*.f64 x (-.f64 z y)))>
#<alt (+.f64 y (*.f64 x (-.f64 z y)))>
#<alt (*.f64 x (-.f64 z y))>
#<alt (*.f64 x (-.f64 (+.f64 z (/.f64 y x)) y))>
#<alt (*.f64 x (-.f64 (+.f64 z (/.f64 y x)) y))>
#<alt (*.f64 x (-.f64 (+.f64 z (/.f64 y x)) y))>
#<alt (*.f64 x (-.f64 z y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 z y)) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 z y)) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 z y)) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z)))>
#<alt (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z)))>
#<alt (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z)))>
#<alt (*.f64 x z)>
#<alt (*.f64 z (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 y z))))>
#<alt (*.f64 z (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 y z))))>
#<alt (*.f64 z (+.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) (/.f64 y z))))>
#<alt (*.f64 x z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y))) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y))) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y))) z)))))>
#<alt (*.f64 x z)>
#<alt (+.f64 (*.f64 x z) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (*.f64 x z) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (*.f64 x z) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 x #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))) #s(literal 1 binary64))))>
Calls

63 calls:

TimeVariablePointExpression
25.0ms
y
@0
(+ (* x (- z y)) y)
1.0ms
z
@0
(- y (* x (- y z)))
1.0ms
z
@-inf
(* x z)
1.0ms
y
@-inf
(* (- 1 x) y)
0.0ms
x
@0
(* x (- y z))

rewrite336.0ms (5.9%)

Algorithm
batch-egg-rewrite
Rules
1106×log1p-expm1-u
886×expm1-log1p-u
149×add-cube-cbrt
146×add-exp-log
145×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020181
1308181
24681181
Stop Event
node limit
Counts
9 → 256
Calls
Call 1
Inputs
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(-.f64 #s(literal 1 binary64) x)
(*.f64 x z)
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
(*.f64 x (-.f64 y z))
(-.f64 y z)
(-.f64 y (*.f64 x (-.f64 y z)))
(-.f64 z y)
(fma.f64 x (-.f64 z y) y)
Outputs
(+.f64 y (*.f64 (neg.f64 x) y))
(+.f64 y (*.f64 y (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y))) #s(literal 1 binary64))
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) y) (+.f64 #s(literal 1 binary64) x))
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y)))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y)))
(exp.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y)))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (neg.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 1 binary64) (neg.f64 x)))
(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) x))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) x)))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) x)))
(exp.f64 (log1p.f64 (neg.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64)))
(-.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 (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))
(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 (exp.f64 (log1p.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 x z)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y (neg.f64 (*.f64 x z)))) (/.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y (neg.f64 (*.f64 x z)))))
(*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 x z)))
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 x z)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 x z))) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y (*.f64 x z))) #s(literal 2 binary64)))
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(exp.f64 (log.f64 (-.f64 z y)))
(exp.f64 (*.f64 (log.f64 (-.f64 z y)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) z (neg.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (neg.f64 y))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (neg.f64 y))
(+.f64 y (*.f64 x (-.f64 z y)))
(+.f64 (*.f64 x (-.f64 z y)) y)
(+.f64 (*.f64 (*.f64 x (-.f64 z y)) #s(literal 1 binary64)) y)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 z y) y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 z y) y))
(*.f64 (fma.f64 x (-.f64 z y) y) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 x (-.f64 z y) y)) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 z y) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 z y) y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (-.f64 z y) y)))
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 z y) y)) (sqrt.f64 (fma.f64 x (-.f64 z y) y)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (*.f64 x (-.f64 z y)) y))))
(/.f64 (-.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))) (pow.f64 y #s(literal 2 binary64))) (-.f64 (*.f64 x (-.f64 z y)) y))
(pow.f64 (fma.f64 x (-.f64 z y) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 z y) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (-.f64 z y) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 z y) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 z y) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (-.f64 z y) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (-.f64 z y) y))))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 z y) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 z y) y)))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 z y) y)))
(exp.f64 (log.f64 (fma.f64 x (-.f64 z y) y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 z y) y)) #s(literal 1 binary64)))

simplify199.0ms (3.5%)

Algorithm
egg-herbie
Rules
350×fma-define
336×sub-neg
282×associate-*l*
281×associate-*r*
247×div-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
068014460
1168413808
2590213724
Stop Event
node limit
Counts
466 → 377
Calls
Call 1
Inputs
y
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#s(literal 1 binary64)
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y
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(+.f64 (-.f64 y (*.f64 x (-.f64 y z))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (-.f64 y z)))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) #s(literal 2 binary64)) (*.f64 x (-.f64 y z))))
(+.f64 (-.f64 y (*.f64 x (-.f64 y z))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x (-.f64 y z)))) (sqrt.f64 (*.f64 x (-.f64 y z))) (*.f64 x (-.f64 y z))))
(+.f64 (*.f64 x (neg.f64 (-.f64 y z))) y)
(*.f64 #s(literal 1 binary64) (-.f64 y (*.f64 x (-.f64 y z))))
(*.f64 (-.f64 y (*.f64 x (-.f64 y z))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (-.f64 y (*.f64 x (-.f64 y z)))) (pow.f64 (cbrt.f64 (-.f64 y (*.f64 x (-.f64 y z)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y (*.f64 x (-.f64 y z)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 y (*.f64 x (-.f64 y z)))))
(*.f64 (sqrt.f64 (-.f64 y (*.f64 x (-.f64 y z)))) (sqrt.f64 (-.f64 y (*.f64 x (-.f64 y z)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (*.f64 x (-.f64 y z)) (+.f64 y (*.f64 x (-.f64 y z)))))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y (*.f64 x (-.f64 y z)))))
(*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x (-.f64 y z)))) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x (-.f64 y z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 (*.f64 x (-.f64 y z)) (+.f64 y (*.f64 x (-.f64 y z))))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (*.f64 x (-.f64 y z))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 3 binary64))) (fma.f64 y y (*.f64 (*.f64 x (-.f64 y z)) (+.f64 y (*.f64 x (-.f64 y z))))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64))) (+.f64 y (*.f64 x (-.f64 y z))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 (*.f64 x (-.f64 y z)) (+.f64 y (*.f64 x (-.f64 y z)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64)))) (neg.f64 (+.f64 y (*.f64 x (-.f64 y z)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x (neg.f64 (-.f64 y z))) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x (neg.f64 (-.f64 y z))) (*.f64 x (neg.f64 (-.f64 y z)))) (*.f64 y (*.f64 x (neg.f64 (-.f64 y z)))))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (*.f64 x (neg.f64 (-.f64 y z))) (*.f64 x (neg.f64 (-.f64 y z))))) (-.f64 y (*.f64 x (neg.f64 (-.f64 y z)))))
(pow.f64 (-.f64 y (*.f64 x (-.f64 y z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 y (*.f64 x (-.f64 y z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 y (*.f64 x (-.f64 y z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 y (*.f64 x (-.f64 y z)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 y (*.f64 x (-.f64 y z))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 y (*.f64 x (-.f64 y z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 y (*.f64 x (-.f64 y z))))))
(cbrt.f64 (pow.f64 (-.f64 y (*.f64 x (-.f64 y z))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 y (*.f64 x (-.f64 y z)))))
(log1p.f64 (expm1.f64 (-.f64 y (*.f64 x (-.f64 y z)))))
(exp.f64 (log.f64 (-.f64 y (*.f64 x (-.f64 y z)))))
(exp.f64 (*.f64 (log.f64 (-.f64 y (*.f64 x (-.f64 y z)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) y (*.f64 x (neg.f64 (-.f64 y z))))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 x (neg.f64 (-.f64 y z))))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 x (neg.f64 (-.f64 y z))))
(+.f64 z (neg.f64 y))
(+.f64 z (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(+.f64 (-.f64 z y) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(+.f64 (-.f64 z y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(+.f64 (-.f64 z y) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))
(+.f64 (neg.f64 y) z)
(*.f64 #s(literal 1 binary64) (-.f64 z y))
(*.f64 (-.f64 z y) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (-.f64 z y)) (pow.f64 (cbrt.f64 (-.f64 z y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 z y)))
(*.f64 (sqrt.f64 (-.f64 z y)) (sqrt.f64 (-.f64 z y)))
(*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y (+.f64 y z)))))
(*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y z)))
(*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (-.f64 (sqrt.f64 z) (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 y (+.f64 y z))) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y z) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 z z (*.f64 y (+.f64 y z))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 y z))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 z z (*.f64 y (+.f64 y z)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (+.f64 y z)))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (+.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 z (neg.f64 y)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 z (neg.f64 y)))
(pow.f64 (-.f64 z y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 z y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 z y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 z y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.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)))
(fma.f64 #s(literal 1 binary64) z (neg.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (neg.f64 y))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (neg.f64 y))
(+.f64 y (*.f64 x (-.f64 z y)))
(+.f64 (*.f64 x (-.f64 z y)) y)
(+.f64 (*.f64 (*.f64 x (-.f64 z y)) #s(literal 1 binary64)) y)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 z y) y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 z y) y))
(*.f64 (fma.f64 x (-.f64 z y) y) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 x (-.f64 z y) y)) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 z y) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 z y) y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (-.f64 z y) y)))
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 z y) y)) (sqrt.f64 (fma.f64 x (-.f64 z y) y)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (*.f64 x (-.f64 z y)) y))))
(/.f64 (-.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))) (pow.f64 y #s(literal 2 binary64))) (-.f64 (*.f64 x (-.f64 z y)) y))
(pow.f64 (fma.f64 x (-.f64 z y) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 z y) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (-.f64 z y) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 z y) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 z y) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (-.f64 z y) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (-.f64 z y) y))))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 z y) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 z y) y)))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 z y) y)))
(exp.f64 (log.f64 (fma.f64 x (-.f64 z y) y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 z y) y)) #s(literal 1 binary64)))
Outputs
y
(+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x)))
(*.f64 x (fma.f64 #s(literal -1 binary64) y (/.f64 y x)))
(*.f64 x (-.f64 (/.f64 y x) y))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x)))
(*.f64 x (fma.f64 #s(literal -1 binary64) y (/.f64 y x)))
(*.f64 x (-.f64 (/.f64 y x) y))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x)))
(*.f64 x (fma.f64 #s(literal -1 binary64) y (/.f64 y x)))
(*.f64 x (-.f64 (/.f64 y x) y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 x (fma.f64 #s(literal -1 binary64) y (/.f64 y x)))
(*.f64 x (-.f64 (/.f64 y x) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 x (fma.f64 #s(literal -1 binary64) y (/.f64 y x)))
(*.f64 x (-.f64 (/.f64 y x) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 x (fma.f64 #s(literal -1 binary64) y (/.f64 y x)))
(*.f64 x (-.f64 (/.f64 y x) y))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) x)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) x)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) 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) x))))
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) x)
y
(+.f64 y (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) y))))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(+.f64 y (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) y))))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(+.f64 y (*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) y))))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(*.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) y)))
(*.f64 x (-.f64 z y))
(*.f64 x (-.f64 y z))
(*.f64 x (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x))))
(*.f64 x (+.f64 (-.f64 z y) (/.f64 y x)))
(*.f64 x (+.f64 (/.f64 y x) (-.f64 z y)))
(*.f64 x (+.f64 (/.f64 y x) (-.f64 y z)))
(*.f64 x (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x))))
(*.f64 x (+.f64 (-.f64 z y) (/.f64 y x)))
(*.f64 x (+.f64 (/.f64 y x) (-.f64 z y)))
(*.f64 x (+.f64 (/.f64 y x) (-.f64 y z)))
(*.f64 x (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x))))
(*.f64 x (+.f64 (-.f64 z y) (/.f64 y x)))
(*.f64 x (+.f64 (/.f64 y x) (-.f64 z y)))
(*.f64 x (+.f64 (/.f64 y x) (-.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) z))))
(*.f64 x (-.f64 z y))
(*.f64 x (-.f64 y z))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 y x))))))
(*.f64 x (+.f64 (-.f64 z y) (/.f64 y x)))
(*.f64 x (+.f64 (/.f64 y x) (-.f64 z y)))
(*.f64 x (+.f64 (/.f64 y x) (-.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 y x))))))
(*.f64 x (+.f64 (-.f64 z y) (/.f64 y x)))
(*.f64 x (+.f64 (/.f64 y x) (-.f64 z y)))
(*.f64 x (+.f64 (/.f64 y x) (-.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 y x))))))
(*.f64 x (+.f64 (-.f64 z y) (/.f64 y x)))
(*.f64 x (+.f64 (/.f64 y x) (-.f64 z y)))
(*.f64 x (+.f64 (/.f64 y x) (-.f64 y z)))
(*.f64 x z)
(+.f64 (*.f64 x z) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(+.f64 (*.f64 x z) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(+.f64 (*.f64 x z) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)) x))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (/.f64 z y)) x)))
(*.f64 y (-.f64 (fma.f64 x (/.f64 z y) #s(literal 1 binary64)) x))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)) x))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (/.f64 z y)) x)))
(*.f64 y (-.f64 (fma.f64 x (/.f64 z y) #s(literal 1 binary64)) x))
(*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)) x))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (/.f64 z y)) x)))
(*.f64 y (-.f64 (fma.f64 x (/.f64 z y) #s(literal 1 binary64)) x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (/.f64 z y)) x)))
(*.f64 y (-.f64 (fma.f64 x (/.f64 z y) #s(literal 1 binary64)) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (/.f64 z y)) x)))
(*.f64 y (-.f64 (fma.f64 x (/.f64 z y) #s(literal 1 binary64)) x))
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(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (*.f64 x (neg.f64 (-.f64 y z))) (*.f64 x (neg.f64 (-.f64 y z))))) (-.f64 y (*.f64 x (neg.f64 (-.f64 y z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (*.f64 x (-.f64 y z))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64))) (fma.f64 x (-.f64 y z) y))
(/.f64 (pow.f64 (fma.f64 x (-.f64 y z) y) #s(literal 2 binary64)) (fma.f64 x (-.f64 y z) y))
(pow.f64 (-.f64 y (*.f64 x (-.f64 y z))) #s(literal 1 binary64))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(pow.f64 (cbrt.f64 (-.f64 y (*.f64 x (-.f64 y z)))) #s(literal 3 binary64))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(pow.f64 (pow.f64 (-.f64 y (*.f64 x (-.f64 y z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(pow.f64 (sqrt.f64 (-.f64 y (*.f64 x (-.f64 y z)))) #s(literal 2 binary64))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(sqrt.f64 (pow.f64 (-.f64 y (*.f64 x (-.f64 y z))) #s(literal 2 binary64)))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(log.f64 (exp.f64 (-.f64 y (*.f64 x (-.f64 y z)))))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 y (*.f64 x (-.f64 y z))))))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(cbrt.f64 (pow.f64 (-.f64 y (*.f64 x (-.f64 y z))) #s(literal 3 binary64)))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(expm1.f64 (log1p.f64 (-.f64 y (*.f64 x (-.f64 y z)))))
(expm1.f64 (log1p.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) (*.f64 x z))))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 z y) y)))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 y z) y)))
(log1p.f64 (expm1.f64 (-.f64 y (*.f64 x (-.f64 y z)))))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(exp.f64 (log.f64 (-.f64 y (*.f64 x (-.f64 y z)))))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(exp.f64 (*.f64 (log.f64 (-.f64 y (*.f64 x (-.f64 y z)))) #s(literal 1 binary64)))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(fma.f64 #s(literal 1 binary64) y (*.f64 x (neg.f64 (-.f64 y z))))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 x (neg.f64 (-.f64 y z))))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 x (neg.f64 (-.f64 y z))))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(+.f64 z (neg.f64 y))
(-.f64 y z)
(+.f64 z (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(-.f64 y z)
(+.f64 (-.f64 z y) (fma.f64 (neg.f64 y) #s(literal 1 binary64) y))
(-.f64 y z)
(+.f64 (-.f64 z y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) y))
(-.f64 y z)
(+.f64 (-.f64 z y) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))
(-.f64 y z)
(+.f64 (neg.f64 y) z)
(-.f64 y z)
(*.f64 #s(literal 1 binary64) (-.f64 z y))
(-.f64 y z)
(*.f64 (-.f64 z y) #s(literal 1 binary64))
(-.f64 y z)
(*.f64 (cbrt.f64 (-.f64 z y)) (pow.f64 (cbrt.f64 (-.f64 z y)) #s(literal 2 binary64)))
(-.f64 y z)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 z y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 z y)))
(-.f64 y z)
(*.f64 (sqrt.f64 (-.f64 z y)) (sqrt.f64 (-.f64 z y)))
(-.f64 y z)
(*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 y (+.f64 y z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 y (+.f64 y z))) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 z (+.f64 y z))))
(*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y z)))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y z)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (+.f64 y z))
(*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 y)) (-.f64 (sqrt.f64 z) (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 y (+.f64 y z))) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 z (+.f64 y z))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y z) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y z)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (+.f64 y z))
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 z z (*.f64 y (+.f64 y z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 y (+.f64 y z))) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 z (+.f64 y z))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 y z))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y z)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (+.f64 y z))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 z z (*.f64 y (+.f64 y z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 y (+.f64 y z))) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 z (+.f64 y z))))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (+.f64 y z)))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y z)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (+.f64 y z))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (+.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 z (neg.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 y (+.f64 y z))) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 z (+.f64 y z))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 z (neg.f64 y)))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y z)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (+.f64 y z))
(pow.f64 (-.f64 z y) #s(literal 1 binary64))
(-.f64 y z)
(pow.f64 (cbrt.f64 (-.f64 z y)) #s(literal 3 binary64))
(-.f64 y z)
(pow.f64 (pow.f64 (-.f64 z y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 y z)
(pow.f64 (sqrt.f64 (-.f64 z y)) #s(literal 2 binary64))
(-.f64 y z)
(sqrt.f64 (pow.f64 (-.f64 z y) #s(literal 2 binary64)))
(-.f64 y z)
(log.f64 (exp.f64 (-.f64 z y)))
(-.f64 y z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 z y))))
(-.f64 y z)
(cbrt.f64 (pow.f64 (-.f64 z y) #s(literal 3 binary64)))
(-.f64 y z)
(expm1.f64 (log1p.f64 (-.f64 z y)))
(expm1.f64 (log1p.f64 (-.f64 y z)))
(log1p.f64 (expm1.f64 (-.f64 z y)))
(-.f64 y z)
(exp.f64 (log.f64 (-.f64 z y)))
(-.f64 y z)
(exp.f64 (*.f64 (log.f64 (-.f64 z y)) #s(literal 1 binary64)))
(-.f64 y z)
(fma.f64 #s(literal 1 binary64) z (neg.f64 y))
(-.f64 y z)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (neg.f64 y))
(-.f64 y z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (neg.f64 y))
(-.f64 y z)
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(+.f64 (*.f64 x (-.f64 z y)) y)
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(+.f64 (*.f64 (*.f64 x (-.f64 z y)) #s(literal 1 binary64)) y)
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 z y) y))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) (*.f64 x z))))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 z y) y)))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 y z) y)))
(*.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 z y) y))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(*.f64 (fma.f64 x (-.f64 z y) y) #s(literal 1 binary64))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(*.f64 (cbrt.f64 (fma.f64 x (-.f64 z y) y)) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 z y) y)) #s(literal 2 binary64)))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 z y) y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (-.f64 z y) y)))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 z y) y)) (sqrt.f64 (fma.f64 x (-.f64 z y) y)))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (*.f64 x (-.f64 z y)) y))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 y y (*.f64 (*.f64 x (-.f64 y z)) (+.f64 y (*.f64 x (-.f64 y z))))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 3 binary64))) (fma.f64 y y (*.f64 x (*.f64 (-.f64 y z) (fma.f64 x (-.f64 y z) y)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 3 binary64))) (fma.f64 y y (*.f64 x (*.f64 (-.f64 y z) (fma.f64 x (-.f64 y z) y)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))) (pow.f64 y #s(literal 2 binary64))) (-.f64 (*.f64 x (-.f64 z y)) y))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (*.f64 x (-.f64 y z))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64))) (fma.f64 x (-.f64 y z) y))
(/.f64 (pow.f64 (fma.f64 x (-.f64 y z) y) #s(literal 2 binary64)) (fma.f64 x (-.f64 y z) y))
(pow.f64 (fma.f64 x (-.f64 z y) y) #s(literal 1 binary64))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 z y) y)) #s(literal 3 binary64))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 z y) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 z y) y)) #s(literal 2 binary64))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 z y) y) #s(literal 2 binary64)))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(log.f64 (exp.f64 (fma.f64 x (-.f64 z y) y)))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (-.f64 z y) y))))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 z y) y) #s(literal 3 binary64)))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 z y) y)))
(expm1.f64 (log1p.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) (*.f64 x z))))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 y z) y)))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 z y) y)))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(exp.f64 (log.f64 (fma.f64 x (-.f64 z y) y)))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 z y) y)) #s(literal 1 binary64)))
(fma.f64 x (-.f64 z y) y)
(fma.f64 x (-.f64 y z) y)

eval46.0ms (0.8%)

Compiler

Compiled 5161 to 1087 computations (78.9% saved)

prune113.0ms (2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New3707377
Fresh000
Picked213
Done000
Total3728380
Accuracy
100.0%
Counts
380 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.9%
(fma.f64 x (neg.f64 y) y)
62.8%
(-.f64 y (*.f64 y x))
100.0%
(-.f64 y (*.f64 x (-.f64 y z)))
77.2%
(+.f64 y (*.f64 x z))
62.9%
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
88.5%
(*.f64 x (-.f64 (+.f64 z (/.f64 y x)) y))
63.9%
(*.f64 x (-.f64 z y))
42.0%
(*.f64 x z)
Compiler

Compiled 130 to 84 computations (35.4% saved)

simplify442.0ms (7.8%)

Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y x)
cost-diff0
(-.f64 y (*.f64 y x))
cost-diff-6272
(+.f64 y (*.f64 x z))
cost-diff0
(*.f64 x z)
cost-diff0
(-.f64 z y)
cost-diff0
(*.f64 x (-.f64 z y))
cost-diff0
(*.f64 x z)
cost-diff-6400
(-.f64 (+.f64 z (/.f64 y x)) y)
cost-diff-6144
(*.f64 x (-.f64 (+.f64 z (/.f64 y x)) y))
cost-diff0
(/.f64 y x)
cost-diff0
(+.f64 z (/.f64 y x))
Rules
2323×fmm-def
562×div-sub
419×fma-define
360×sub-neg
348×distribute-rgt-neg-in
Iterations

Useful iterations: 23 (0.0ms)

IterNodesCost
019276
135272
264272
3132271
4244269
5424256
6752256
71332256
83235256
94949256
105961256
116356256
126446256
136491256
146507256
156743256
167075256
177241256
187259256
197277256
207313256
217331256
227347256
237347255
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 x (-.f64 (+.f64 z (/.f64 y x)) y))
x
(-.f64 (+.f64 z (/.f64 y x)) y)
(+.f64 z (/.f64 y x))
z
(/.f64 y x)
y
(*.f64 x z)
x
z
(*.f64 x (-.f64 z y))
x
(-.f64 z y)
z
y
(+.f64 y (*.f64 x z))
y
(*.f64 x z)
x
z
(-.f64 y (*.f64 y x))
y
(*.f64 y x)
x
Outputs
(*.f64 x (-.f64 (+.f64 z (/.f64 y x)) y))
(*.f64 x (+.f64 z (-.f64 (/.f64 y x) y)))
(*.f64 x (+.f64 (/.f64 y x) (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
x
(-.f64 (+.f64 z (/.f64 y x)) y)
(+.f64 z (-.f64 (/.f64 y x) y))
(+.f64 (/.f64 y x) (-.f64 z y))
(fma.f64 y (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) z)
(+.f64 z (/.f64 y x))
z
(/.f64 y x)
y
(*.f64 x z)
x
z
(*.f64 x (-.f64 z y))
x
(-.f64 z y)
z
y
(+.f64 y (*.f64 x z))
(fma.f64 x z y)
y
(*.f64 x z)
x
z
(-.f64 y (*.f64 y x))
(-.f64 y (*.f64 x y))
(fma.f64 y (neg.f64 x) y)
(*.f64 y (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
y
(*.f64 y x)
(*.f64 x y)
x

localize80.0ms (1.4%)

Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 y x)
accuracy100.0%
(-.f64 y (*.f64 y x))
accuracy100.0%
(*.f64 x z)
accuracy100.0%
(+.f64 y (*.f64 x z))
accuracy100.0%
(-.f64 z y)
accuracy100.0%
(*.f64 x (-.f64 z y))
accuracy100.0%
(*.f64 x z)
accuracy100.0%
(/.f64 y x)
accuracy100.0%
(-.f64 (+.f64 z (/.f64 y x)) y)
accuracy100.0%
(+.f64 z (/.f64 y x))
accuracy88.5%
(*.f64 x (-.f64 (+.f64 z (/.f64 y x)) y))
Results
62.0ms256×0valid
Compiler

Compiled 66 to 15 computations (77.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-mult: 21.0ms (52.3% of total)
ival-add: 13.0ms (32.4% of total)
ival-sub: 4.0ms (10% of total)
ival-div: 2.0ms (5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series16.0ms (0.3%)

Counts
8 → 183
Calls
Call 1
Inputs
#<alt (+.f64 z (/.f64 y x))>
#<alt (/.f64 y x)>
#<alt (*.f64 x (-.f64 (+.f64 z (/.f64 y x)) y))>
#<alt (-.f64 (+.f64 z (/.f64 y x)) y)>
#<alt (*.f64 x (-.f64 z y))>
#<alt (+.f64 y (*.f64 x z))>
#<alt (-.f64 y (*.f64 y x))>
#<alt (*.f64 y x)>
Outputs
#<alt (/.f64 y x)>
#<alt z>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))>
#<alt z>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))>
#<alt z>
#<alt (/.f64 y x)>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)))>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)))>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)))>
#<alt (/.f64 y x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 #s(literal 1 binary64) x))))>
#<alt (/.f64 y x)>
#<alt (/.f64 (+.f64 y (*.f64 x z)) x)>
#<alt (/.f64 (+.f64 y (*.f64 x z)) x)>
#<alt (/.f64 (+.f64 y (*.f64 x z)) x)>
#<alt z>
#<alt z>
#<alt y>
#<alt (+.f64 y (*.f64 x (-.f64 z y)))>
#<alt (+.f64 y (*.f64 x (-.f64 z y)))>
#<alt (+.f64 y (*.f64 x (-.f64 z y)))>
#<alt (*.f64 x (-.f64 z y))>
#<alt (*.f64 x (-.f64 z y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 z y)) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 z y)) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 z y)) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 x (-.f64 (/.f64 y x) y))>
#<alt (+.f64 (*.f64 x z) (*.f64 x (-.f64 (/.f64 y x) y)))>
#<alt (+.f64 (*.f64 x z) (*.f64 x (-.f64 (/.f64 y x) y)))>
#<alt (+.f64 (*.f64 x z) (*.f64 x (-.f64 (/.f64 y x) y)))>
#<alt (*.f64 x z)>
#<alt (*.f64 z (+.f64 x (/.f64 (*.f64 x (-.f64 (/.f64 y x) y)) z)))>
#<alt (*.f64 z (+.f64 x (/.f64 (*.f64 x (-.f64 (/.f64 y x) y)) z)))>
#<alt (*.f64 z (+.f64 x (/.f64 (*.f64 x (-.f64 (/.f64 y x) y)) z)))>
#<alt (*.f64 x z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 (/.f64 y x) y)) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 (/.f64 y x) y)) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 (/.f64 y x) y)) z)))))>
#<alt (*.f64 x z)>
#<alt (+.f64 (*.f64 x z) (*.f64 x (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))>
#<alt (+.f64 (*.f64 x z) (*.f64 x (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))>
#<alt (+.f64 (*.f64 x z) (*.f64 x (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))>
#<alt (*.f64 x (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))>
#<alt (*.f64 y (+.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y (+.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y (+.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))>
#<alt (-.f64 (/.f64 y x) y)>
#<alt z>
#<alt (*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))) (/.f64 y z)))>
#<alt (*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))) (/.f64 y z)))>
#<alt (*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))) (/.f64 y z)))>
#<alt z>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 y x) y) z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 y x) y) z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 y x) y) z)) #s(literal 1 binary64))))>
#<alt z>
#<alt (+.f64 z (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))>
#<alt (+.f64 z (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))>
#<alt (+.f64 z (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))>
#<alt (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))) (/.f64 #s(literal 1 binary64) x))))>
#<alt (/.f64 y x)>
#<alt (/.f64 (+.f64 y (*.f64 x (-.f64 z y))) x)>
#<alt (/.f64 (+.f64 y (*.f64 x (-.f64 z y))) x)>
#<alt (/.f64 (+.f64 y (*.f64 x (-.f64 z y))) x)>
#<alt (-.f64 z y)>
#<alt (-.f64 z y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))>
#<alt (*.f64 x z)>
#<alt (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 x z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z))))>
#<alt (*.f64 x z)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))>
#<alt (*.f64 x z)>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) #s(literal 1 binary64))))>
#<alt y>
#<alt (*.f64 x z)>
#<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 x z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt y>
#<alt (*.f64 x z)>
#<alt (*.f64 z (+.f64 x (/.f64 y z)))>
#<alt (*.f64 z (+.f64 x (/.f64 y z)))>
#<alt (*.f64 z (+.f64 x (/.f64 y z)))>
#<alt (*.f64 x z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))>
#<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 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 y (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt y>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 x (-.f64 (/.f64 y x) y))>
#<alt (*.f64 x (-.f64 (/.f64 y x) y))>
#<alt (*.f64 x (-.f64 (/.f64 y x) y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 #s(literal -1 binary64) y))))>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
Calls

63 calls:

TimeVariablePointExpression
2.0ms
y
@0
(- y (* y x))
1.0ms
x
@-inf
(* x (- (+ z (/ y x)) y))
0.0ms
y
@-inf
(* x (- (+ z (/ y x)) y))
0.0ms
z
@inf
(* x (- (+ z (/ y x)) y))
0.0ms
z
@-inf
(* x (- (+ z (/ y x)) y))

rewrite180.0ms (3.2%)

Algorithm
batch-egg-rewrite
Rules
1249×log1p-expm1-u
541×expm1-log1p-u
158×add-cube-cbrt
156×add-exp-log
156×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019185
1323178
25213178
Stop Event
node limit
Counts
8 → 250
Calls
Call 1
Inputs
(+.f64 z (/.f64 y x))
(/.f64 y x)
(*.f64 x (-.f64 (+.f64 z (/.f64 y x)) y))
(-.f64 (+.f64 z (/.f64 y x)) y)
(*.f64 x (-.f64 z y))
(+.f64 y (*.f64 x z))
(-.f64 y (*.f64 y x))
(*.f64 y x)
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 z (/.f64 y x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 z (/.f64 y x))) (/.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.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 (sqrt.f64 (+.f64 z (/.f64 y x))) (sqrt.f64 (+.f64 z (/.f64 y x))))
(*.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 (/.f64 y x) (-.f64 (/.f64 y x) z)))))
(*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 z (/.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 (/.f64 y x) (-.f64 (/.f64 y x) z))) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (/.f64 y x)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (*.f64 (/.f64 y x) (-.f64 (/.f64 y x) z))))
(/.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 z (/.f64 y x)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (-.f64 z (/.f64 y x)))
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(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 z x))
(fma.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (*.f64 z x)) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 z x))
(+.f64 y (*.f64 y (neg.f64 x)))
(+.f64 y (*.f64 (*.f64 y (neg.f64 x)) #s(literal 1 binary64)))
(+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 x) y (*.f64 y x)))
(+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 y) x (*.f64 y x)))
(+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 y (neg.f64 x)) #s(literal 1 binary64) (*.f64 y x)))
(+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (*.f64 y x)))
(+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x)) (*.f64 y x)))
(+.f64 (*.f64 y (neg.f64 x)) y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(*.f64 (cbrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (*.f64 y x) (*.f64 (+.f64 x #s(literal 1 binary64)) y)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) y)))
(*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y x))) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 (*.f64 y x) (*.f64 (+.f64 x #s(literal 1 binary64)) y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 y y (*.f64 (*.f64 y x) (*.f64 (+.f64 x #s(literal 1 binary64)) y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) y))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 (*.f64 y x) (*.f64 (+.f64 x #s(literal 1 binary64)) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y)))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y (neg.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x))) (*.f64 y (*.f64 y (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x)))) (-.f64 y (*.f64 y (neg.f64 x))))
(pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)))))
(cbrt.f64 (pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))))
(log1p.f64 (expm1.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (log.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) y (*.f64 y (neg.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 y (neg.f64 x)))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) #s(literal 1 binary64))
(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))
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y 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)))

simplify201.0ms (3.5%)

Algorithm
egg-herbie
Rules
516×distribute-lft-neg-in
314×fma-define
278×associate-*r*
276×sub-neg
272×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
064714923
1158314243
2545813072
Stop Event
node limit
Counts
433 → 372
Calls
Call 1
Inputs
(/.f64 y x)
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))
z
(/.f64 y x)
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)))
(/.f64 y x)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 #s(literal 1 binary64) x))))
(/.f64 y x)
(/.f64 (+.f64 y (*.f64 x z)) x)
(/.f64 (+.f64 y (*.f64 x z)) x)
(/.f64 (+.f64 y (*.f64 x z)) x)
z
z
y
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(*.f64 x (-.f64 z y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 z y)) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 z y)) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 z y)) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 x (-.f64 (/.f64 y x) y))
(+.f64 (*.f64 x z) (*.f64 x (-.f64 (/.f64 y x) y)))
(+.f64 (*.f64 x z) (*.f64 x (-.f64 (/.f64 y x) y)))
(+.f64 (*.f64 x z) (*.f64 x (-.f64 (/.f64 y x) y)))
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(*.f64 z (+.f64 x (/.f64 (*.f64 x (-.f64 (/.f64 y x) y)) z)))
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(*.f64 z (+.f64 x (/.f64 (*.f64 x (-.f64 (/.f64 y x) y)) z)))
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(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 (/.f64 y x) y)) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 (/.f64 y x) y)) z)))))
(*.f64 x z)
(+.f64 (*.f64 x z) (*.f64 x (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
(+.f64 (*.f64 x z) (*.f64 x (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
(+.f64 (*.f64 x z) (*.f64 x (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
(*.f64 x (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(*.f64 y (+.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (/.f64 (*.f64 x z) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(-.f64 (/.f64 y x) y)
z
(*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))) (/.f64 y z)))
(*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))) (/.f64 y z)))
(*.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))) (/.f64 y z)))
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 y x) y) z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 y x) y) z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 y x) y) z)) #s(literal 1 binary64))))
z
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(*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)) #s(literal 1 binary64)))
(*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)) #s(literal 1 binary64)))
(*.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 z y))) (/.f64 #s(literal 1 binary64) x))))
(/.f64 y x)
(/.f64 (+.f64 y (*.f64 x (-.f64 z y))) x)
(/.f64 (+.f64 y (*.f64 x (-.f64 z y))) x)
(/.f64 (+.f64 y (*.f64 x (-.f64 z y))) x)
(-.f64 z y)
(-.f64 z y)
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))
(*.f64 x z)
(*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))
(*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))
(*.f64 z (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))
(*.f64 x z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z))))
(*.f64 x z)
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 x z))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 x z)
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) #s(literal 1 binary64))))
y
(*.f64 x z)
(*.f64 x (+.f64 z (/.f64 y x)))
(*.f64 x (+.f64 z (/.f64 y x)))
(*.f64 x (+.f64 z (/.f64 y x)))
(*.f64 x z)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
y
(*.f64 x z)
(*.f64 z (+.f64 x (/.f64 y z)))
(*.f64 z (+.f64 x (/.f64 y z)))
(*.f64 z (+.f64 x (/.f64 y z)))
(*.f64 x z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
y
(+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (-.f64 (/.f64 y x) y))
(*.f64 x (-.f64 (/.f64 y x) y))
(*.f64 x (-.f64 (/.f64 y x) y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 #s(literal -1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 #s(literal -1 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 #s(literal -1 binary64) y))))
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
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(/.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 (*.f64 z x) (-.f64 (*.f64 z x) y))))
(/.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y (*.f64 z x)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (-.f64 y (*.f64 z x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 (*.f64 z x) (-.f64 (*.f64 z x) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (*.f64 z x))))
(/.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (*.f64 z x) y))
(pow.f64 (fma.f64 z x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 z x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 z x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 z x y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 z x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 z x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 z x y))))
(cbrt.f64 (pow.f64 (fma.f64 z x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 z x y)))
(log1p.f64 (expm1.f64 (fma.f64 z x y)))
(exp.f64 (log.f64 (fma.f64 z x y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z x y)) #s(literal 1 binary64)))
(fma.f64 z x y)
(fma.f64 x z y)
(fma.f64 #s(literal 1 binary64) y (*.f64 z x))
(fma.f64 #s(literal 1 binary64) (*.f64 z x) y)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z x)) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 z x))
(fma.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (*.f64 z x)) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 z x))
(+.f64 y (*.f64 y (neg.f64 x)))
(+.f64 y (*.f64 (*.f64 y (neg.f64 x)) #s(literal 1 binary64)))
(+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 x) y (*.f64 y x)))
(+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 y) x (*.f64 y x)))
(+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 y (neg.f64 x)) #s(literal 1 binary64) (*.f64 y x)))
(+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (*.f64 y x)))
(+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x)) (*.f64 y x)))
(+.f64 (*.f64 y (neg.f64 x)) y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(*.f64 (cbrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (*.f64 y x) (*.f64 (+.f64 x #s(literal 1 binary64)) y)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) y)))
(*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y x))) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 (*.f64 y x) (*.f64 (+.f64 x #s(literal 1 binary64)) y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 y y (*.f64 (*.f64 y x) (*.f64 (+.f64 x #s(literal 1 binary64)) y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) y))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 (*.f64 y x) (*.f64 (+.f64 x #s(literal 1 binary64)) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y)))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y (neg.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x))) (*.f64 y (*.f64 y (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x)))) (-.f64 y (*.f64 y (neg.f64 x))))
(pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)))))
(cbrt.f64 (pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))))
(log1p.f64 (expm1.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (log.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) y (*.f64 y (neg.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 y (neg.f64 x)))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) #s(literal 1 binary64))
(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))
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y 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)))
Outputs
(/.f64 y x)
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 y (*.f64 x z)) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 z))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 y (*.f64 x z)) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 z))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 y (*.f64 x z)) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 z))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) (neg.f64 z))
z
(/.f64 y x)
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)))
(/.f64 y x)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 #s(literal 1 binary64) x))))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 #s(literal 1 binary64) x))))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 #s(literal 1 binary64) x))))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)))
(/.f64 y x)
(/.f64 (+.f64 y (*.f64 x z)) x)
(/.f64 (fma.f64 x z y) x)
(/.f64 (+.f64 y (*.f64 x z)) x)
(/.f64 (fma.f64 x z y) x)
(/.f64 (+.f64 y (*.f64 x z)) x)
(/.f64 (fma.f64 x z y) x)
z
z
y
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(*.f64 x (-.f64 z y))
(*.f64 x (-.f64 z y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 z y)) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 z y)) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 z y)) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(*.f64 x (-.f64 (/.f64 y x) y))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 x z) (*.f64 x (-.f64 (/.f64 y x) y)))
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 x z) (*.f64 x (-.f64 (/.f64 y x) y)))
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 x z) (*.f64 x (-.f64 (/.f64 y x) y)))
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(*.f64 x z)
(*.f64 z (+.f64 x (/.f64 (*.f64 x (-.f64 (/.f64 y x) y)) z)))
(*.f64 z (+.f64 x (*.f64 x (/.f64 (-.f64 (/.f64 y x) y) z))))
(*.f64 z (fma.f64 x (/.f64 (-.f64 (/.f64 y x) y) z) x))
(*.f64 z (+.f64 x (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) z)))
(*.f64 z (+.f64 x (/.f64 (*.f64 x (-.f64 (/.f64 y x) y)) z)))
(*.f64 z (+.f64 x (*.f64 x (/.f64 (-.f64 (/.f64 y x) y) z))))
(*.f64 z (fma.f64 x (/.f64 (-.f64 (/.f64 y x) y) z) x))
(*.f64 z (+.f64 x (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) z)))
(*.f64 z (+.f64 x (/.f64 (*.f64 x (-.f64 (/.f64 y x) y)) z)))
(*.f64 z (+.f64 x (*.f64 x (/.f64 (-.f64 (/.f64 y x) y) z))))
(*.f64 z (fma.f64 x (/.f64 (-.f64 (/.f64 y x) y) z) x))
(*.f64 z (+.f64 x (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) z)))
(*.f64 x z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 (/.f64 y x) y)) z)))))
(*.f64 z (+.f64 x (*.f64 x (/.f64 (-.f64 (/.f64 y x) y) z))))
(*.f64 z (fma.f64 x (/.f64 (-.f64 (/.f64 y x) y) z) x))
(*.f64 z (+.f64 x (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 (/.f64 y x) y)) z)))))
(*.f64 z (+.f64 x (*.f64 x (/.f64 (-.f64 (/.f64 y x) y) z))))
(*.f64 z (fma.f64 x (/.f64 (-.f64 (/.f64 y x) y) z) x))
(*.f64 z (+.f64 x (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (-.f64 (/.f64 y x) y)) z)))))
(*.f64 z (+.f64 x (*.f64 x (/.f64 (-.f64 (/.f64 y x) y) z))))
(*.f64 z (fma.f64 x (/.f64 (-.f64 (/.f64 y x) y) z) x))
(*.f64 z (+.f64 x (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) z)))
(*.f64 x z)
(+.f64 (*.f64 x z) (*.f64 x (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 x z) (*.f64 x (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 x z) (*.f64 x (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(*.f64 x (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(*.f64 x (-.f64 (/.f64 y x) y))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 y (+.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (/.f64 (*.f64 x z) y)))
(*.f64 y (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x z) y)))
(*.f64 y (*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)))))
(*.f64 y (fma.f64 x (/.f64 z y) (-.f64 #s(literal 1 binary64) x)))
(*.f64 y (+.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (/.f64 (*.f64 x z) y)))
(*.f64 y (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x z) y)))
(*.f64 y (*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)))))
(*.f64 y (fma.f64 x (/.f64 z y) (-.f64 #s(literal 1 binary64) x)))
(*.f64 y (+.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (/.f64 (*.f64 x z) y)))
(*.f64 y (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x z) y)))
(*.f64 y (*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)))))
(*.f64 y (fma.f64 x (/.f64 z y) (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 x (-.f64 (/.f64 y x) y))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(*.f64 y (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x z) y)))
(*.f64 y (*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)))))
(*.f64 y (fma.f64 x (/.f64 z y) (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(*.f64 y (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x z) y)))
(*.f64 y (*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)))))
(*.f64 y (fma.f64 x (/.f64 z y) (-.f64 #s(literal 1 binary64) x)))
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(*.f64 y (-.f64 #s(literal 1 binary64) x))
(pow.f64 (sqrt.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(*.f64 x (-.f64 (/.f64 y x) y))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 (pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(*.f64 x (-.f64 (/.f64 y x) y))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(log.f64 (exp.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))))
(*.f64 x (-.f64 (/.f64 y x) y))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)))))
(*.f64 x (-.f64 (/.f64 y x) y))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(cbrt.f64 (pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(*.f64 x (-.f64 (/.f64 y x) y))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(expm1.f64 (log1p.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))))
(log1p.f64 (expm1.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))))
(*.f64 x (-.f64 (/.f64 y x) y))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(exp.f64 (log.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))))
(*.f64 x (-.f64 (/.f64 y x) y))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(exp.f64 (*.f64 (log.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 y x) y))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) y (*.f64 y (neg.f64 x)))
(*.f64 x (-.f64 (/.f64 y x) y))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 y (neg.f64 x)))
(*.f64 x (-.f64 (/.f64 y x) y))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y (neg.f64 x)))
(*.f64 x (-.f64 (/.f64 y x) y))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 y x)))
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(*.f64 y x)
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))
(*.f64 y x)
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 y x)
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))
(*.f64 y x)
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(*.f64 y x)
(log.f64 (pow.f64 (exp.f64 x) y))
(*.f64 y x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))))
(*.f64 y x)
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
(*.f64 y x)
(expm1.f64 (log1p.f64 (*.f64 y x)))
(log1p.f64 (expm1.f64 (*.f64 y x)))
(*.f64 y x)
(exp.f64 (log.f64 (*.f64 y x)))
(*.f64 y x)
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64)))
(*.f64 y x)

eval119.0ms (2.1%)

Compiler

Compiled 5882 to 1309 computations (77.7% saved)

prune64.0ms (1.1%)

Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New4444448
Fresh112
Picked145
Done011
Total44610456
Accuracy
100.0%
Counts
456 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.9%
(fma.f64 x (neg.f64 y) y)
100.0%
(-.f64 y (*.f64 x (-.f64 y z)))
77.2%
(+.f64 y (*.f64 x z))
62.9%
(*.f64 y (-.f64 #s(literal 1 binary64) x))
27.7%
(*.f64 y (neg.f64 x))
88.5%
(*.f64 x (-.f64 (+.f64 z (/.f64 y x)) y))
63.9%
(*.f64 x (-.f64 z y))
65.8%
(*.f64 x (+.f64 (/.f64 y x) z))
42.0%
(*.f64 x z)
37.6%
y
Compiler

Compiled 118 to 77 computations (34.7% saved)

simplify109.0ms (1.9%)

Algorithm
egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 y)
cost-diff6336
(fma.f64 x (neg.f64 y) y)
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(*.f64 y (-.f64 #s(literal 1 binary64) x))
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 y (neg.f64 x))
cost-diff-6144
(*.f64 x (+.f64 (/.f64 y x) z))
cost-diff0
(/.f64 y x)
cost-diff0
(+.f64 (/.f64 y x) z)
Rules
493×fmm-def
398×div-sub
347×distribute-lft-out
339×distribute-lft-out--
284×cancel-sign-sub-inv
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
021188
146188
272188
3107175
4177175
5333175
61218175
74094175
86360175
97941175
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 x (+.f64 (/.f64 y x) z))
x
(+.f64 (/.f64 y x) z)
(/.f64 y x)
y
z
y
(*.f64 y (neg.f64 x))
y
(neg.f64 x)
x
(*.f64 y (-.f64 #s(literal 1 binary64) x))
y
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 x (neg.f64 y) y)
x
(neg.f64 y)
y
Outputs
(*.f64 x (+.f64 (/.f64 y x) z))
(fma.f64 x z y)
x
(+.f64 (/.f64 y x) z)
(/.f64 y x)
y
z
y
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
y
(neg.f64 x)
x
(*.f64 y (-.f64 #s(literal 1 binary64) x))
y
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 x (neg.f64 y) y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
x
(neg.f64 y)
y

localize55.0ms (1%)

Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 x (neg.f64 y) y)
accuracy100.0%
(neg.f64 y)
accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
accuracy100.0%
(*.f64 y (-.f64 #s(literal 1 binary64) x))
accuracy100.0%
(*.f64 y (neg.f64 x))
accuracy100.0%
(neg.f64 x)
accuracy100.0%
(/.f64 y x)
accuracy100.0%
(+.f64 (/.f64 y x) z)
accuracy88.5%
(*.f64 x (+.f64 (/.f64 y x) z))
Results
42.0ms256×0valid
Compiler

Compiled 49 to 15 computations (69.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 12.0ms (54.8% of total)
ival-fma: 3.0ms (13.7% of total)
ival-div: 2.0ms (9.1% of total)
ival-neg: 2.0ms (9.1% of total)
ival-add: 1.0ms (4.6% of total)
ival-sub: 1.0ms (4.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

series11.0ms (0.2%)

Counts
7 → 156
Calls
Call 1
Inputs
#<alt (+.f64 (/.f64 y x) z)>
#<alt (*.f64 x (+.f64 (/.f64 y x) z))>
#<alt (*.f64 y (neg.f64 x))>
#<alt (neg.f64 x)>
#<alt (*.f64 y (-.f64 #s(literal 1 binary64) x))>
#<alt (fma.f64 x (neg.f64 y) y)>
#<alt (neg.f64 y)>
Outputs
#<alt z>
#<alt (+.f64 z (/.f64 y x))>
#<alt (+.f64 z (/.f64 y x))>
#<alt (+.f64 z (/.f64 y x))>
#<alt (/.f64 y x)>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)))>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)))>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)))>
#<alt (/.f64 y x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 #s(literal 1 binary64) x))))>
#<alt (/.f64 y x)>
#<alt (/.f64 (+.f64 y (*.f64 x z)) x)>
#<alt (/.f64 (+.f64 y (*.f64 x z)) x)>
#<alt (/.f64 (+.f64 y (*.f64 x z)) x)>
#<alt z>
#<alt (+.f64 z (/.f64 y x))>
#<alt (+.f64 z (/.f64 y x))>
#<alt (+.f64 z (/.f64 y x))>
#<alt z>
#<alt (+.f64 z (/.f64 y x))>
#<alt (+.f64 z (/.f64 y x))>
#<alt (+.f64 z (/.f64 y x))>
#<alt (/.f64 y x)>
#<alt (+.f64 z (/.f64 y x))>
#<alt (+.f64 z (/.f64 y x))>
#<alt (+.f64 z (/.f64 y x))>
#<alt z>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))>
#<alt z>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))>
#<alt y>
#<alt (+.f64 y (*.f64 x z))>
#<alt (+.f64 y (*.f64 x z))>
#<alt (+.f64 y (*.f64 x z))>
#<alt (*.f64 x z)>
#<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 x z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 x z)>
#<alt (+.f64 y (*.f64 x z))>
#<alt (+.f64 y (*.f64 x z))>
#<alt (+.f64 y (*.f64 x z))>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt y>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) #s(literal 1 binary64))))>
#<alt y>
#<alt (+.f64 y (*.f64 x z))>
#<alt (+.f64 y (*.f64 x z))>
#<alt (+.f64 y (*.f64 x z))>
#<alt (*.f64 x z)>
#<alt (*.f64 z (+.f64 x (/.f64 y z)))>
#<alt (*.f64 z (+.f64 x (/.f64 y z)))>
#<alt (*.f64 z (+.f64 x (/.f64 y z)))>
#<alt (*.f64 x z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<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 y>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt y>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y x)))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 x #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 x #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 x #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 x #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
Calls

42 calls:

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

rewrite147.0ms (2.6%)

Algorithm
batch-egg-rewrite
Rules
748×log1p-expm1-u
748×expm1-log1p-u
416×fma-define
213×fmm-def
194×expm1-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021124
1289110
24252110
Stop Event
node limit
Counts
7 → 292
Calls
Call 1
Inputs
(+.f64 (/.f64 y x) z)
(*.f64 x (+.f64 (/.f64 y x) z))
(*.f64 y (neg.f64 x))
(neg.f64 x)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(fma.f64 x (neg.f64 y) y)
(neg.f64 y)
Outputs
(-.f64 z (/.f64 y x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 y x) z))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 (/.f64 y x) z)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 y x) z)))
(*.f64 (+.f64 (/.f64 y x) z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 y x) z))
(*.f64 (cbrt.f64 (+.f64 (/.f64 y x) z)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 y x) z)) #s(literal 2 binary64)))
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(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) y)
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y x))
(fma.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)) (*.f64 y x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) y)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) y)
(fma.f64 #s(literal -1 binary64) y (*.f64 y x))
(fma.f64 #s(literal -1 binary64) (*.f64 y x) y)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 y x))
(fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y x))
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 y x))
(fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y x))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) y)
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) y)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) y)
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) y)
(+.f64 y (*.f64 y x))
(+.f64 (*.f64 y x) y)
(-.f64 (*.f64 y x) y)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y x y))) #s(literal 1 binary64))
(*.f64 y (+.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 y x y))
(*.f64 (+.f64 x #s(literal 1 binary64)) y)
(*.f64 (fma.f64 y x y) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y x y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y x y)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) y))
(*.f64 (cbrt.f64 (fma.f64 y x y)) (pow.f64 (cbrt.f64 (fma.f64 y x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (+.f64 x #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) y))
(*.f64 (sqrt.f64 (fma.f64 y x y)) (sqrt.f64 (fma.f64 y x y)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (+.f64 x #s(literal 1 binary64))))
(*.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(*.f64 (*.f64 y (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (*.f64 y x) y))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (fma.f64 y x y))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) y) (+.f64 x #s(literal 1 binary64)))
(pow.f64 (fma.f64 y x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y x y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y x y))))
(cbrt.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 y x y)))
(log1p.f64 (expm1.f64 (fma.f64 y x y)))
(exp.f64 (+.f64 (log1p.f64 x) (log.f64 y)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 y)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) y)
(-.f64 #s(literal 0 binary64) y)
(-.f64 (exp.f64 (log1p.f64 y)) #s(literal 1 binary64))
(*.f64 y #s(literal 1 binary64))
(*.f64 y #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) y)
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)))
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64))) y)
(pow.f64 y #s(literal 1 binary64))
(pow.f64 (cbrt.f64 y) #s(literal 3 binary64))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 y #s(literal 2 binary64)))
(log.f64 (exp.f64 y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)))
(cbrt.f64 (pow.f64 y #s(literal 3 binary64)))
y
(expm1.f64 (log1p.f64 y))
(log1p.f64 (expm1.f64 y))
(exp.f64 (log.f64 y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))

simplify165.0ms (2.9%)

Algorithm
egg-herbie
Rules
771×fmm-def
485×associate-*l*
448×associate-*r*
290×times-frac
241×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05659873
112419198
255609192
Stop Event
node limit
Counts
448 → 350
Calls
Call 1
Inputs
z
(+.f64 z (/.f64 y x))
(+.f64 z (/.f64 y x))
(+.f64 z (/.f64 y x))
(/.f64 y x)
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)))
(/.f64 y x)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 #s(literal 1 binary64) x))))
(/.f64 y x)
(/.f64 (+.f64 y (*.f64 x z)) x)
(/.f64 (+.f64 y (*.f64 x z)) x)
(/.f64 (+.f64 y (*.f64 x z)) x)
z
(+.f64 z (/.f64 y x))
(+.f64 z (/.f64 y x))
(+.f64 z (/.f64 y x))
z
(+.f64 z (/.f64 y x))
(+.f64 z (/.f64 y x))
(+.f64 z (/.f64 y x))
(/.f64 y x)
(+.f64 z (/.f64 y x))
(+.f64 z (/.f64 y x))
(+.f64 z (/.f64 y x))
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))
y
(+.f64 y (*.f64 x z))
(+.f64 y (*.f64 x z))
(+.f64 y (*.f64 x z))
(*.f64 x z)
(*.f64 x (+.f64 z (/.f64 y x)))
(*.f64 x (+.f64 z (/.f64 y x)))
(*.f64 x (+.f64 z (/.f64 y x)))
(*.f64 x z)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 x z)
(+.f64 y (*.f64 x z))
(+.f64 y (*.f64 x z))
(+.f64 y (*.f64 x z))
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) #s(literal 1 binary64))))
y
(+.f64 y (*.f64 x z))
(+.f64 y (*.f64 x z))
(+.f64 y (*.f64 x z))
(*.f64 x z)
(*.f64 z (+.f64 x (/.f64 y z)))
(*.f64 z (+.f64 x (/.f64 y z)))
(*.f64 z (+.f64 x (/.f64 y z)))
(*.f64 x z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
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(*.f64 #s(literal -1 binary64) x)
y
(+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))
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(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x)))
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(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
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(+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(+.f64 y (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 y x)))
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(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
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(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
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(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
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(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 x #s(literal 1 binary64))))
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(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 x #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
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(*.f64 #s(literal -1 binary64) y)
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(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(-.f64 z (/.f64 y x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 y x) z))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (-.f64 (/.f64 y x) z)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 y x) z)))
(*.f64 (+.f64 (/.f64 y x) z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 y x) z))
(*.f64 (cbrt.f64 (+.f64 (/.f64 y x) z)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 y x) z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 y x) z)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (/.f64 y x) z)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 y x) z)) (sqrt.f64 (+.f64 (/.f64 y x) z)))
(*.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 (/.f64 y x) z) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y x) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (+.f64 (/.f64 y x) z) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y x) z) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 (/.f64 y x) z) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
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(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 y x))
(fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y x))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) y)
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) y)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) y)
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) y)
(+.f64 y (*.f64 y x))
(+.f64 (*.f64 y x) y)
(-.f64 (*.f64 y x) y)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y x y))) #s(literal 1 binary64))
(*.f64 y (+.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 y x y))
(*.f64 (+.f64 x #s(literal 1 binary64)) y)
(*.f64 (fma.f64 y x y) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y x y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y x y)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) y))
(*.f64 (cbrt.f64 (fma.f64 y x y)) (pow.f64 (cbrt.f64 (fma.f64 y x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (+.f64 x #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) y))
(*.f64 (sqrt.f64 (fma.f64 y x y)) (sqrt.f64 (fma.f64 y x y)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (+.f64 x #s(literal 1 binary64))))
(*.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(*.f64 (*.f64 y (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (*.f64 y x) y))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (fma.f64 y x y))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) y) (+.f64 x #s(literal 1 binary64)))
(pow.f64 (fma.f64 y x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y x y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y x y))))
(cbrt.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 y x y)))
(log1p.f64 (expm1.f64 (fma.f64 y x y)))
(exp.f64 (+.f64 (log1p.f64 x) (log.f64 y)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 y)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) y)
(-.f64 #s(literal 0 binary64) y)
(-.f64 (exp.f64 (log1p.f64 y)) #s(literal 1 binary64))
(*.f64 y #s(literal 1 binary64))
(*.f64 y #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) y)
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)))
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64))) y)
(pow.f64 y #s(literal 1 binary64))
(pow.f64 (cbrt.f64 y) #s(literal 3 binary64))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 y #s(literal 2 binary64)))
(log.f64 (exp.f64 y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)))
(cbrt.f64 (pow.f64 y #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 y))
(log1p.f64 (expm1.f64 y))
(exp.f64 (log.f64 y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))
Outputs
z
(+.f64 z (/.f64 y x))
(+.f64 z (/.f64 y x))
(+.f64 z (/.f64 y x))
(/.f64 y x)
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z y)))
(/.f64 y x)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 z) y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (fma.f64 (/.f64 z y) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 y))
(*.f64 (fma.f64 z (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 z) y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (fma.f64 (/.f64 z y) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 y))
(*.f64 (fma.f64 z (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 z) y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (fma.f64 (/.f64 z y) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 y))
(*.f64 (fma.f64 z (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) (neg.f64 y))
(/.f64 y x)
(/.f64 (+.f64 y (*.f64 x z)) x)
(/.f64 (+.f64 y (*.f64 z x)) x)
(/.f64 (fma.f64 z x y) x)
(/.f64 (+.f64 y (*.f64 x z)) x)
(/.f64 (+.f64 y (*.f64 z x)) x)
(/.f64 (fma.f64 z x y) x)
(/.f64 (+.f64 y (*.f64 x z)) x)
(/.f64 (+.f64 y (*.f64 z x)) x)
(/.f64 (fma.f64 z x y) x)
z
(+.f64 z (/.f64 y x))
(+.f64 z (/.f64 y x))
(+.f64 z (/.f64 y x))
z
(+.f64 z (/.f64 y x))
(+.f64 z (/.f64 y x))
(+.f64 z (/.f64 y x))
(/.f64 y x)
(+.f64 z (/.f64 y x))
(+.f64 z (/.f64 y x))
(+.f64 z (/.f64 y x))
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 z x))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) x)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 z x))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) x)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 z x))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) x)))
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 y (*.f64 z x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 y z) x) #s(literal -1 binary64)) (neg.f64 z))
(*.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) (*.f64 z x)) #s(literal -1 binary64)) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 y (*.f64 z x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 y z) x) #s(literal -1 binary64)) (neg.f64 z))
(*.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) (*.f64 z x)) #s(literal -1 binary64)) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1 binary64) (/.f64 y (*.f64 z x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 y z) x) #s(literal -1 binary64)) (neg.f64 z))
(*.f64 (fma.f64 y (/.f64 #s(literal -1 binary64) (*.f64 z x)) #s(literal -1 binary64)) (neg.f64 z))
y
(+.f64 y (*.f64 x z))
(+.f64 y (*.f64 z x))
(fma.f64 z x y)
(+.f64 y (*.f64 x z))
(+.f64 y (*.f64 z x))
(fma.f64 z x y)
(+.f64 y (*.f64 x z))
(+.f64 y (*.f64 z x))
(fma.f64 z x y)
(*.f64 x z)
(*.f64 z x)
(*.f64 x (+.f64 z (/.f64 y x)))
(+.f64 y (*.f64 z x))
(fma.f64 z x y)
(*.f64 x (+.f64 z (/.f64 y x)))
(+.f64 y (*.f64 z x))
(fma.f64 z x y)
(*.f64 x (+.f64 z (/.f64 y x)))
(+.f64 y (*.f64 z x))
(fma.f64 z x y)
(*.f64 x z)
(*.f64 z x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (+.f64 z (/.f64 y x))))
(neg.f64 (*.f64 #s(literal -1 binary64) (fma.f64 z x y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (+.f64 z (/.f64 y x))))
(neg.f64 (*.f64 #s(literal -1 binary64) (fma.f64 z x y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
(*.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (+.f64 z (/.f64 y x))))
(neg.f64 (*.f64 #s(literal -1 binary64) (fma.f64 z x y)))
(*.f64 x z)
(*.f64 z x)
(+.f64 y (*.f64 x z))
(+.f64 y (*.f64 z x))
(fma.f64 z x y)
(+.f64 y (*.f64 x z))
(+.f64 y (*.f64 z x))
(fma.f64 z x y)
(+.f64 y (*.f64 x z))
(+.f64 y (*.f64 z x))
(fma.f64 z x y)
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 z y))))
(*.f64 y (fma.f64 x (/.f64 z y) #s(literal 1 binary64)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 z y))))
(*.f64 y (fma.f64 x (/.f64 z y) #s(literal 1 binary64)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 z y))))
(*.f64 y (fma.f64 x (/.f64 z y) #s(literal 1 binary64)))
y
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (*.f64 x (/.f64 z y)) #s(literal -1 binary64)))
(*.f64 y (neg.f64 (*.f64 (fma.f64 x (/.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 y (neg.f64 (fma.f64 x (/.f64 (neg.f64 z) y) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (*.f64 x (/.f64 z y)) #s(literal -1 binary64)))
(*.f64 y (neg.f64 (*.f64 (fma.f64 x (/.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 y (neg.f64 (fma.f64 x (/.f64 (neg.f64 z) y) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)) #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (*.f64 x (/.f64 z y)) #s(literal -1 binary64)))
(*.f64 y (neg.f64 (*.f64 (fma.f64 x (/.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 y (neg.f64 (fma.f64 x (/.f64 (neg.f64 z) y) #s(literal -1 binary64))))
y
(+.f64 y (*.f64 x z))
(+.f64 y (*.f64 z x))
(fma.f64 z x y)
(+.f64 y (*.f64 x z))
(+.f64 y (*.f64 z x))
(fma.f64 z x y)
(+.f64 y (*.f64 x z))
(+.f64 y (*.f64 z x))
(fma.f64 z x y)
(*.f64 x z)
(*.f64 z x)
(*.f64 z (+.f64 x (/.f64 y z)))
(*.f64 z (+.f64 x (/.f64 y z)))
(*.f64 z (+.f64 x (/.f64 y z)))
(*.f64 x z)
(*.f64 z x)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))
(*.f64 (neg.f64 z) (*.f64 #s(literal -1 binary64) (+.f64 x (/.f64 y z))))
(*.f64 (neg.f64 z) (-.f64 (neg.f64 x) (/.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))
(*.f64 (neg.f64 z) (*.f64 #s(literal -1 binary64) (+.f64 x (/.f64 y z))))
(*.f64 (neg.f64 z) (-.f64 (neg.f64 x) (/.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 y z)))))
(*.f64 (neg.f64 z) (*.f64 #s(literal -1 binary64) (+.f64 x (/.f64 y z))))
(*.f64 (neg.f64 z) (-.f64 (neg.f64 x) (/.f64 y z)))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(neg.f64 (*.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(neg.f64 (*.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(neg.f64 (*.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(neg.f64 (*.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(neg.f64 (*.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(neg.f64 (*.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(neg.f64 (*.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(neg.f64 (*.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(neg.f64 (*.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(neg.f64 (*.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(neg.f64 (*.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(neg.f64 (*.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(neg.f64 (*.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(neg.f64 (*.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(neg.f64 (*.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(neg.f64 (*.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(neg.f64 (*.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(neg.f64 (*.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(neg.f64 (*.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(neg.f64 (*.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(neg.f64 (*.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(neg.f64 (*.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (neg.f64 x))
(neg.f64 (*.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
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(log.f64 (exp.f64 (fma.f64 y x y)))
(fma.f64 y x y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y x y))))
(fma.f64 y x y)
(cbrt.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)))
(fma.f64 y x y)
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))))
(fma.f64 y x y)
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(fma.f64 y x y)
(expm1.f64 (log1p.f64 (fma.f64 y x y)))
(log1p.f64 (expm1.f64 (fma.f64 y x y)))
(fma.f64 y x y)
(exp.f64 (+.f64 (log1p.f64 x) (log.f64 y)))
(fma.f64 y x y)
(exp.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 y)) #s(literal 1 binary64)))
(fma.f64 y x y)
(fma.f64 y x y)
(fma.f64 y #s(literal 1 binary64) (*.f64 y x))
(fma.f64 y x y)
(fma.f64 y #s(literal -1 binary64) (*.f64 y x))
(-.f64 (*.f64 y x) y)
(*.f64 y (+.f64 x #s(literal -1 binary64)))
(fma.f64 x y y)
(fma.f64 y x y)
(fma.f64 (*.f64 y x) #s(literal 1 binary64) y)
(fma.f64 y x y)
(fma.f64 #s(literal 1 binary64) y (*.f64 y x))
(fma.f64 y x y)
(fma.f64 #s(literal 1 binary64) (*.f64 y x) y)
(fma.f64 y x y)
(fma.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) y)
(fma.f64 y x y)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y x)) y)
(fma.f64 y x y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 y x))
(fma.f64 y x y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) (*.f64 y x))
(fma.f64 y x y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)) (*.f64 y x))
(-.f64 (*.f64 y x) y)
(*.f64 y (+.f64 x #s(literal -1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) y)
(fma.f64 y x y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) y)
(fma.f64 y x y)
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) y)
(fma.f64 y x y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y x))
(fma.f64 y x y)
(fma.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)) (*.f64 y x))
(-.f64 (*.f64 y x) y)
(*.f64 y (+.f64 x #s(literal -1 binary64)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) y)
(fma.f64 y x y)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) y)
(fma.f64 y x y)
(fma.f64 #s(literal -1 binary64) y (*.f64 y x))
(-.f64 (*.f64 y x) y)
(*.f64 y (+.f64 x #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 y x) y)
(*.f64 y (+.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 y x))
(-.f64 (*.f64 y x) y)
(*.f64 y (+.f64 x #s(literal -1 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y x))
(-.f64 (*.f64 y x) y)
(*.f64 y (+.f64 x #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (*.f64 y x))
(-.f64 (*.f64 y x) y)
(*.f64 y (+.f64 x #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y x))
(-.f64 (*.f64 y x) y)
(*.f64 y (+.f64 x #s(literal -1 binary64)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) y)
(fma.f64 y x y)
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) y)
(fma.f64 y x y)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) y)
(fma.f64 y x y)
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) y)
(fma.f64 y x y)
(+.f64 y (*.f64 y x))
(fma.f64 y x y)
(+.f64 (*.f64 y x) y)
(fma.f64 y x y)
(-.f64 (*.f64 y x) y)
(*.f64 y (+.f64 x #s(literal -1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y x y))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (fma.f64 y x y)))
(*.f64 y (+.f64 x #s(literal 1 binary64)))
(fma.f64 y x y)
(*.f64 #s(literal 1 binary64) (fma.f64 y x y))
(fma.f64 y x y)
(*.f64 (+.f64 x #s(literal 1 binary64)) y)
(fma.f64 y x y)
(*.f64 (fma.f64 y x y) #s(literal 1 binary64))
(fma.f64 y x y)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y x y)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y x y)))
(fma.f64 y x y)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) y))
(fma.f64 y x y)
(*.f64 (cbrt.f64 (fma.f64 y x y)) (pow.f64 (cbrt.f64 (fma.f64 y x y)) #s(literal 2 binary64)))
(fma.f64 y x y)
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (+.f64 x #s(literal 1 binary64))))
(fma.f64 y x y)
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) y))
(fma.f64 y x y)
(*.f64 (sqrt.f64 (fma.f64 y x y)) (sqrt.f64 (fma.f64 y x y)))
(fma.f64 y x y)
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (+.f64 x #s(literal 1 binary64))))
(fma.f64 y x y)
(*.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x #s(literal 1 binary64))))
(fma.f64 y x y)
(*.f64 (*.f64 y (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(fma.f64 y x y)
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(fma.f64 y x y)
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 y)) (sqrt.f64 y))
(fma.f64 y x y)
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (*.f64 y x) y))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y (*.f64 y x)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y (*.f64 y (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (fma.f64 y x y))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 x #s(literal 1 binary64)))
(*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 x #s(literal 1 binary64))))
(*.f64 y (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) y) (+.f64 x #s(literal 1 binary64)))
(*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 x #s(literal 1 binary64))))
(*.f64 y (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(pow.f64 (fma.f64 y x y) #s(literal 1 binary64))
(fma.f64 y x y)
(pow.f64 (cbrt.f64 (fma.f64 y x y)) #s(literal 3 binary64))
(fma.f64 y x y)
(pow.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 y x y)
(pow.f64 (sqrt.f64 (fma.f64 y x y)) #s(literal 2 binary64))
(fma.f64 y x y)
(sqrt.f64 (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)))
(fma.f64 y x y)
(log.f64 (exp.f64 (fma.f64 y x y)))
(fma.f64 y x y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y x y))))
(fma.f64 y x y)
(cbrt.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)))
(fma.f64 y x y)
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))))
(fma.f64 y x y)
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(fma.f64 y x y)
(expm1.f64 (log1p.f64 (fma.f64 y x y)))
(log1p.f64 (expm1.f64 (fma.f64 y x y)))
(fma.f64 y x y)
(exp.f64 (+.f64 (log1p.f64 x) (log.f64 y)))
(fma.f64 y x y)
(exp.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 y)) #s(literal 1 binary64)))
(fma.f64 y x y)
(+.f64 #s(literal 0 binary64) y)
y
(-.f64 #s(literal 0 binary64) y)
(neg.f64 y)
(-.f64 (exp.f64 (log1p.f64 y)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 y))
(*.f64 y #s(literal 1 binary64))
y
(*.f64 y #s(literal -1 binary64))
(neg.f64 y)
(*.f64 #s(literal 1 binary64) y)
y
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
y
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y))
y
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)))
(neg.f64 y)
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
y
(*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(neg.f64 y)
(*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y))
(neg.f64 y)
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(neg.f64 y)
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(neg.f64 y)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))
(/.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64))) y)
(/.f64 (neg.f64 (pow.f64 y #s(literal 2 binary64))) y)
(pow.f64 y #s(literal 1 binary64))
y
(pow.f64 (cbrt.f64 y) #s(literal 3 binary64))
y
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/3 binary64))
y
(pow.f64 (sqrt.f64 y) #s(literal 2 binary64))
y
(sqrt.f64 (pow.f64 y #s(literal 2 binary64)))
y
(log.f64 (exp.f64 y))
y
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)))
y
(cbrt.f64 (pow.f64 y #s(literal 3 binary64)))
y
(expm1.f64 (log1p.f64 y))
(log1p.f64 (expm1.f64 y))
y
(exp.f64 (log.f64 y))
y
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))
y

eval50.0ms (0.9%)

Compiler

Compiled 4621 to 1073 computations (76.8% saved)

prune61.0ms (1.1%)

Pruning

10 alts after pruning (0 fresh and 10 done)

PrunedKeptTotal
New4290429
Fresh000
Picked055
Done055
Total42910439
Accuracy
100.0%
Counts
439 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.9%
(fma.f64 x (neg.f64 y) y)
100.0%
(-.f64 y (*.f64 x (-.f64 y z)))
77.2%
(+.f64 y (*.f64 x z))
62.9%
(*.f64 y (-.f64 #s(literal 1 binary64) x))
27.7%
(*.f64 y (neg.f64 x))
88.5%
(*.f64 x (-.f64 (+.f64 z (/.f64 y x)) y))
63.9%
(*.f64 x (-.f64 z y))
65.8%
(*.f64 x (+.f64 (/.f64 y x) z))
42.0%
(*.f64 x z)
37.6%
y
Compiler

Compiled 162 to 84 computations (48.1% saved)

regimes24.0ms (0.4%)

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

4 calls:

7.0ms
x
7.0ms
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
5.0ms
z
5.0ms
y
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes21.0ms (0.4%)

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

4 calls:

7.0ms
y
4.0ms
x
4.0ms
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
4.0ms
z
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes13.0ms (0.2%)

Counts
9 → 3
Calls
Call 1
Inputs
y
(*.f64 x z)
(*.f64 y (neg.f64 x))
(*.f64 x (-.f64 z y))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(+.f64 y (*.f64 x z))
(-.f64 y (*.f64 y x))
(*.f64 x (+.f64 (/.f64 y x) z))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
Outputs
(*.f64 x (-.f64 z y))
(+.f64 y (*.f64 x z))
(*.f64 x (-.f64 z y))
Calls

3 calls:

5.0ms
x
3.0ms
y
3.0ms
z
Results
AccuracySegmentsBranch
98.7%3x
87.8%3y
90.9%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.1%)

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

3 calls:

3.0ms
y
2.0ms
z
2.0ms
x
Results
AccuracySegmentsBranch
79.6%3y
81.8%3z
84.8%3x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
84.6%3x
Compiler

Compiled 4 to 3 computations (25% saved)

regimes14.0ms (0.2%)

Counts
3 → 4
Calls
Call 1
Inputs
y
(*.f64 x z)
(*.f64 y (neg.f64 x))
Outputs
(*.f64 y (neg.f64 x))
(*.f64 x z)
y
(*.f64 x z)
Calls

3 calls:

10.0ms
x
2.0ms
y
2.0ms
z
Results
AccuracySegmentsBranch
55.2%3y
63.5%5z
66.3%4x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0%)

Counts
2 → 3
Calls
Call 1
Inputs
y
(*.f64 x z)
Outputs
(*.f64 x z)
y
(*.f64 x z)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
62.8%3x
Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
y
Outputs
y
Calls

3 calls:

2.0ms
y
1.0ms
x
1.0ms
z
Results
AccuracySegmentsBranch
37.6%1y
37.6%1z
37.6%1x
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch288.0ms (5.1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
273.0ms
8.270268787952255e-11
25.73336861601198
12.0ms
-17948.64189847408
-0.0036156604060281978
Results
276.0ms304×0valid
Compiler

Compiled 357 to 242 computations (32.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 4.0ms (52.9% of total)
ival-sub: 2.0ms (26.4% of total)
ival-add: 1.0ms (13.2% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch15.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
8.0ms
531103.9040820992
4238136.216716185
5.0ms
-1.210728568436046e-59
-9.211558369302373e-60
Results
9.0ms144×0valid
Compiler

Compiled 177 to 131 computations (26% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (55.5% of total)
ival-sub: 1.0ms (27.7% of total)
ival-add: 1.0ms (27.7% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch19.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
5.601857164819101e-27
6.447096871512694e-22
4.0ms
-1.210728568436046e-59
-9.211558369302373e-60
Results
11.0ms192×0valid
Compiler

Compiled 183 to 134 computations (26.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (63.8% of total)
ival-sub: 1.0ms (21.3% of total)
ival-add: 1.0ms (21.3% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch32.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
5.601857164819101e-27
6.447096871512694e-22
4.0ms
-1.210728568436046e-59
-9.211558369302373e-60
13.0ms
-2.1720071088994574e+153
-2.2415430553695652e+147
Results
19.0ms336×0valid
Compiler

Compiled 294 to 221 computations (24.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 5.0ms (55% of total)
ival-sub: 2.0ms (22% of total)
ival-add: 1.0ms (11% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch19.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
5.601857164819101e-27
6.447096871512694e-22
4.0ms
-1.210728568436046e-59
-9.211558369302373e-60
Results
11.0ms192×0valid
Compiler

Compiled 159 to 122 computations (23.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (62.6% of total)
ival-sub: 1.0ms (20.9% of total)
ival-add: 1.0ms (20.9% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify38.0ms (0.7%)

Algorithm
egg-herbie
Rules
65×unsub-neg
63×distribute-lft-neg-in
47×neg-mul-1
30×neg-sub0
25×distribute-rgt-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055391
195391
2117391
3132391
4153391
5178391
6200391
7240391
8289391
9310391
10341391
11361391
12386391
13408391
14433391
15466391
16505391
17512391
18513391
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 x (-.f64 z y) y)
(-.f64 y (*.f64 x (-.f64 y z)))
(if (<=.f64 x #s(literal -1 binary64)) (*.f64 x (-.f64 z y)) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 y (*.f64 x z)) (*.f64 x (-.f64 z y))))
(if (<=.f64 x #s(literal -5201597758707563/452312848583266388373324160190187140051835877600158453279131187530910662656 binary64)) (*.f64 x (-.f64 z y)) (if (<=.f64 x #s(literal 550000 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 x (-.f64 z y))))
(if (<=.f64 x #s(literal -8865331832232021/904625697166532776746648320380374280103671755200316906558262375061821325312 binary64)) (*.f64 x (-.f64 z y)) (if (<=.f64 x #s(literal 584860318145363/2658455991569831745807614120560689152 binary64)) y (*.f64 x (-.f64 z y))))
(if (<=.f64 x #s(literal -710000000000000006381338200559725449413319926881651037819864434110657737405592271380752193835959909363772357417483016783771937127477859975447239983104 binary64)) (*.f64 y (neg.f64 x)) (if (<=.f64 x #s(literal -8865331832232021/904625697166532776746648320380374280103671755200316906558262375061821325312 binary64)) (*.f64 x z) (if (<=.f64 x #s(literal 1786482426334927/85070591730234615865843651857942052864 binary64)) y (*.f64 x z))))
(if (<=.f64 x #s(literal -5427754182999197/452312848583266388373324160190187140051835877600158453279131187530910662656 binary64)) (*.f64 x z) (if (<=.f64 x #s(literal 584860318145363/2658455991569831745807614120560689152 binary64)) y (*.f64 x z)))
y
Outputs
(fma.f64 x (-.f64 z y) y)
(-.f64 y (*.f64 x (-.f64 y z)))
(+.f64 y (*.f64 x (-.f64 z y)))
(if (<=.f64 x #s(literal -1 binary64)) (*.f64 x (-.f64 z y)) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 y (*.f64 x z)) (*.f64 x (-.f64 z y))))
(if (or (<=.f64 x #s(literal -1 binary64)) (not (<=.f64 x #s(literal 1 binary64)))) (*.f64 x (-.f64 z y)) (+.f64 y (*.f64 x z)))
(if (<=.f64 x #s(literal -5201597758707563/452312848583266388373324160190187140051835877600158453279131187530910662656 binary64)) (*.f64 x (-.f64 z y)) (if (<=.f64 x #s(literal 550000 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 x (-.f64 z y))))
(if (or (<=.f64 x #s(literal -5201597758707563/452312848583266388373324160190187140051835877600158453279131187530910662656 binary64)) (not (<=.f64 x #s(literal 550000 binary64)))) (*.f64 x (-.f64 z y)) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal -8865331832232021/904625697166532776746648320380374280103671755200316906558262375061821325312 binary64)) (*.f64 x (-.f64 z y)) (if (<=.f64 x #s(literal 584860318145363/2658455991569831745807614120560689152 binary64)) y (*.f64 x (-.f64 z y))))
(if (or (<=.f64 x #s(literal -8865331832232021/904625697166532776746648320380374280103671755200316906558262375061821325312 binary64)) (not (<=.f64 x #s(literal 584860318145363/2658455991569831745807614120560689152 binary64)))) (*.f64 x (-.f64 z y)) y)
(if (<=.f64 x #s(literal -710000000000000006381338200559725449413319926881651037819864434110657737405592271380752193835959909363772357417483016783771937127477859975447239983104 binary64)) (*.f64 y (neg.f64 x)) (if (<=.f64 x #s(literal -8865331832232021/904625697166532776746648320380374280103671755200316906558262375061821325312 binary64)) (*.f64 x z) (if (<=.f64 x #s(literal 1786482426334927/85070591730234615865843651857942052864 binary64)) y (*.f64 x z))))
(if (<=.f64 x #s(literal -710000000000000006381338200559725449413319926881651037819864434110657737405592271380752193835959909363772357417483016783771937127477859975447239983104 binary64)) (*.f64 y (neg.f64 x)) (if (or (<=.f64 x #s(literal -8865331832232021/904625697166532776746648320380374280103671755200316906558262375061821325312 binary64)) (not (<=.f64 x #s(literal 1786482426334927/85070591730234615865843651857942052864 binary64)))) (*.f64 x z) y))
(if (<=.f64 x #s(literal -5427754182999197/452312848583266388373324160190187140051835877600158453279131187530910662656 binary64)) (*.f64 x z) (if (<=.f64 x #s(literal 584860318145363/2658455991569831745807614120560689152 binary64)) y (*.f64 x z)))
(if (or (<=.f64 x #s(literal -5427754182999197/452312848583266388373324160190187140051835877600158453279131187530910662656 binary64)) (not (<=.f64 x #s(literal 584860318145363/2658455991569831745807614120560689152 binary64)))) (*.f64 x z) y)
y

soundness1.0s (18%)

Rules
1182×fmm-def
516×distribute-lft-neg-in
350×fma-define
336×sub-neg
314×fma-define
Iterations

Useful iterations: 9 (0.0ms)

IterNodesCost
068014460
1168413808
2590213724
064714923
1158314243
2545813072
040399
1102387
2236379
3681351
41705339
52867337
63236337
73276337
83280337
93280317
103923317
113923317
Stop Event
done
saturated
node limit
node limit
Compiler

Compiled 442 to 166 computations (62.4% saved)

preprocess62.0ms (1.1%)

Compiler

Compiled 252 to 120 computations (52.4% saved)

end0.0ms (0%)

Profiling

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