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

Time bar (total: 3.3s)

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 11 computations (0% saved)

sample860.0ms (25.7%)

Results
614.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 273.0ms
ival-div: 112.0ms (41% of total)
ival-mult: 105.0ms (38.4% of total)
ival-sub: 39.0ms (14.3% of total)
ival-true: 7.0ms (2.6% of total)
...in/eval/compile.rkt:70:19: 6.0ms (2.2% of total)
ival-assert: 5.0ms (1.8% of total)
Bogosity

preprocess107.0ms (3.2%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
041398
183342
2171330
3373330
4780330
51446330
62207330
72262330
82268330
92268330
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 x (neg.f64 y)) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 (neg.f64 z) #s(literal 8 binary64)))
(neg.f64 (-.f64 (/.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))))
(neg.f64 (-.f64 (/.f64 (*.f64 x (neg.f64 y)) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))))
(neg.f64 (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 (neg.f64 z) #s(literal 8 binary64))))
(-.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 x #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 x z) #s(literal 2 binary64)) (/.f64 y #s(literal 8 binary64)))
Outputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(-.f64 (/.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (*.f64 x (/.f64 (neg.f64 y) #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(neg.f64 (fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))))
(fma.f64 x (*.f64 y #s(literal -1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(-.f64 (/.f64 (*.f64 x (neg.f64 y)) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (*.f64 x (/.f64 (neg.f64 y) #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(neg.f64 (fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))))
(fma.f64 x (*.f64 y #s(literal -1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 (neg.f64 z) #s(literal 8 binary64)))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 (neg.f64 z) #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64)))
(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))
(neg.f64 (-.f64 (/.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 (neg.f64 z) #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64)))
(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))
(neg.f64 (-.f64 (/.f64 (*.f64 x (neg.f64 y)) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 (neg.f64 z) #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64)))
(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))
(neg.f64 (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 (neg.f64 z) #s(literal 8 binary64))))
(-.f64 (*.f64 x (/.f64 (neg.f64 y) #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(neg.f64 (fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64))))
(fma.f64 x (*.f64 y #s(literal -1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(-.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(-.f64 (/.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 x #s(literal 8 binary64)))
(-.f64 (*.f64 z (/.f64 y #s(literal 2 binary64))) (/.f64 x #s(literal 8 binary64)))
(fma.f64 z (/.f64 y #s(literal 2 binary64)) (/.f64 x #s(literal -8 binary64)))
(fma.f64 y (/.f64 z #s(literal 2 binary64)) (*.f64 x #s(literal -1/8 binary64)))
(fma.f64 y (*.f64 z #s(literal 1/2 binary64)) (*.f64 x #s(literal -1/8 binary64)))
(-.f64 (/.f64 (*.f64 x z) #s(literal 2 binary64)) (/.f64 y #s(literal 8 binary64)))
(-.f64 (*.f64 x (/.f64 z #s(literal 2 binary64))) (/.f64 y #s(literal 8 binary64)))
(fma.f64 x (/.f64 z #s(literal 2 binary64)) (/.f64 y #s(literal -8 binary64)))
(fma.f64 x (/.f64 z #s(literal 2 binary64)) (*.f64 y #s(literal -1/8 binary64)))
(fma.f64 z (*.f64 x #s(literal 1/2 binary64)) (*.f64 y #s(literal -1/8 binary64)))
Symmetry

(sort x y)

explain101.0ms (3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 8 binary64)
00-0-(/.f64 (*.f64 x y) #s(literal 2 binary64))
00-0-z
00-0-(*.f64 x y)
00-0-(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
00-0-(/.f64 z #s(literal 8 binary64))
00-0-#s(literal 2 binary64)
00-0-y
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Results
42.0ms512×0valid
Compiler

Compiled 78 to 40 computations (48.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-div: 7.0ms (48.3% of total)
ival-mult: 4.0ms (27.6% of total)
ival-sub: 2.0ms (13.8% of total)
ival-true: 1.0ms (6.9% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval3.0ms (0.1%)

Compiler

Compiled 36 to 19 computations (47.2% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
100.0%
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify44.0ms (1.3%)

Algorithm
egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 z #s(literal -8 binary64))
cost-diff0
(/.f64 x #s(literal 2 binary64))
cost-diff0
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
cost-diff-6272
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
cost-diff0
(/.f64 z #s(literal 8 binary64))
cost-diff0
(*.f64 x y)
cost-diff0
(/.f64 (*.f64 x y) #s(literal 2 binary64))
Rules
212×fma-define
147×fmm-def
44×distribute-lft-neg-in
31×cancel-sign-sub-inv
28×unsub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020158
128150
240150
351150
480150
5126150
6233150
7405150
8591150
9796150
10895150
11910150
12912150
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
x
y
#s(literal 2 binary64)
(/.f64 z #s(literal 8 binary64))
z
#s(literal 8 binary64)
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
y
(/.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(/.f64 z #s(literal -8 binary64))
z
#s(literal -8 binary64)
Outputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(fma.f64 x (/.f64 y #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(fma.f64 x (/.f64 y #s(literal 2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x (/.f64 y #s(literal 2 binary64)))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(*.f64 x y)
x
y
#s(literal 2 binary64)
(/.f64 z #s(literal 8 binary64))
(*.f64 z #s(literal 1/8 binary64))
z
#s(literal 8 binary64)
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(fma.f64 x (/.f64 y #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(fma.f64 x (/.f64 y #s(literal 2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
y
(/.f64 x #s(literal 2 binary64))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 2 binary64)
(/.f64 z #s(literal -8 binary64))
(*.f64 z #s(literal -1/8 binary64))
z
#s(literal -8 binary64)

localize49.0ms (1.5%)

Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
accuracy100.0%
(/.f64 z #s(literal -8 binary64))
accuracy100.0%
(/.f64 x #s(literal 2 binary64))
accuracy100.0%
(/.f64 z #s(literal 8 binary64))
accuracy100.0%
(*.f64 x y)
accuracy100.0%
(/.f64 (*.f64 x y) #s(literal 2 binary64))
accuracy100.0%
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
Results
31.0ms256×0valid
Compiler

Compiled 46 to 15 computations (67.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-div: 6.0ms (45.9% of total)
ival-fma: 3.0ms (22.9% of total)
ival-mult: 2.0ms (15.3% of total)
ival-sub: 1.0ms (7.6% 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)

series16.0ms (0.5%)

Counts
7 → 132
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 x y) #s(literal 2 binary64))>
#<alt (*.f64 x y)>
#<alt (/.f64 z #s(literal 8 binary64))>
#<alt (-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))>
#<alt (fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))>
#<alt (/.f64 x #s(literal 2 binary64))>
#<alt (/.f64 z #s(literal -8 binary64))>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/8 binary64) z)>
#<alt (*.f64 #s(literal 1/8 binary64) z)>
#<alt (*.f64 #s(literal 1/8 binary64) z)>
#<alt (*.f64 #s(literal 1/8 binary64) z)>
#<alt (*.f64 #s(literal 1/8 binary64) z)>
#<alt (*.f64 #s(literal 1/8 binary64) z)>
#<alt (*.f64 #s(literal 1/8 binary64) z)>
#<alt (*.f64 #s(literal 1/8 binary64) z)>
#<alt (*.f64 #s(literal 1/8 binary64) z)>
#<alt (*.f64 #s(literal 1/8 binary64) z)>
#<alt (*.f64 #s(literal 1/8 binary64) z)>
#<alt (*.f64 #s(literal 1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))>
#<alt (*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))>
#<alt (*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))>
#<alt (*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))>
#<alt (*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
Calls

39 calls:

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

rewrite275.0ms (8.2%)

Algorithm
batch-egg-rewrite
Rules
1078×log1p-expm1-u
1078×expm1-log1p-u
244×fma-define
176×log1p-undefine
144×fmm-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020130
1255122
23671122
Stop Event
node limit
Counts
7 → 340
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
(/.f64 z #s(literal 8 binary64))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(/.f64 x #s(literal 2 binary64))
(/.f64 z #s(literal -8 binary64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(*.f64 y (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (*.f64 x y) #s(literal 1/2 binary64))
(*.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (*.f64 x (neg.f64 y)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (*.f64 y (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (*.f64 y (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 x y) #s(literal -2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 y) (log.f64 (*.f64 x #s(literal 1/2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z #s(literal 1/8 binary64)))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 z #s(literal 1/8 binary64)))
(*.f64 z #s(literal 1/8 binary64))
(*.f64 z #s(literal -1/8 binary64))
(*.f64 (*.f64 z #s(literal 1/8 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 z #s(literal 1/8 binary64)))
(*.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) (pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) #s(literal -1/8 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) #s(literal 8 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) #s(literal -8 binary64)))
(*.f64 (sqrt.f64 (*.f64 z #s(literal 1/8 binary64))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64))))
(*.f64 (sqrt.f64 (*.f64 z #s(literal 1/8 binary64))) (neg.f64 (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) #s(literal -1/8 binary64)))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) #s(literal 8 binary64)))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) #s(literal -8 binary64)))
(*.f64 (neg.f64 z) #s(literal 1/8 binary64))
(*.f64 (neg.f64 z) #s(literal -1/8 binary64))
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 (neg.f64 (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z #s(literal 1/8 binary64)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))))
(pow.f64 (*.f64 z #s(literal 1/8 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 8 binary64) z) #s(literal -1 binary64))
(neg.f64 (*.f64 z #s(literal 1/8 binary64)))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64)))
(log.f64 (pow.f64 (exp.f64 z) #s(literal 1/8 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z #s(literal 1/8 binary64)))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 z) #s(literal 1/8 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z #s(literal 1/8 binary64))))
(log1p.f64 (expm1.f64 (*.f64 z #s(literal 1/8 binary64))))
(exp.f64 (log.f64 (*.f64 z #s(literal 1/8 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) (*.f64 z #s(literal 1/8 binary64)))
(+.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (fma.f64 #s(literal -1/8 binary64) z (*.f64 z #s(literal 1/8 binary64))))
(+.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(+.f64 (*.f64 z #s(literal 1/8 binary64)) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(*.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(*.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (sqrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(*.f64 (fma.f64 x (*.f64 y #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z)) #s(literal 1/16 binary64))
(*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 x y) z) #s(literal 16 binary64)))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 x (*.f64 y #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 x y) z) #s(literal 16 binary64))) (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (pow.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
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(fma.f64 (*.f64 y (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 z #s(literal 1/8 binary64)))
(+.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) (*.f64 z #s(literal 1/8 binary64)))
(+.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (fma.f64 #s(literal -1/8 binary64) z (*.f64 z #s(literal 1/8 binary64))))
(+.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(+.f64 (*.f64 z #s(literal 1/8 binary64)) (*.f64 x (*.f64 y #s(literal 1/2 binary64))))
(-.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) (*.f64 z #s(literal 1/8 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 x (*.f64 y #s(literal 8 binary64))) #s(literal 16 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 16 binary64)))
(-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 x y) z) #s(literal 16 binary64)))) (/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64)) (+.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 x y) z) #s(literal 16 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(*.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(*.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(*.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) (sqrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(*.f64 (fma.f64 x (*.f64 y #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z)) #s(literal 1/16 binary64))
(*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 x y) z) #s(literal 16 binary64)))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (-.f64 (sqrt.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 x (*.f64 y #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 x y) z) #s(literal 16 binary64))) (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) (pow.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))))
(/.f64 (fma.f64 x (*.f64 y #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z)) #s(literal 16 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64))) (+.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 x y) z) #s(literal 16 binary64))))
(/.f64 (fma.f64 x (*.f64 y #s(literal 8 binary64)) (*.f64 #s(literal 2 binary64) z)) #s(literal 16 binary64))
(/.f64 (fma.f64 (*.f64 x y) (/.f64 #s(literal 8 binary64) z) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (fma.f64 (*.f64 x y) #s(literal -8 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 z))) #s(literal -16 binary64))
(/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) z)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 8 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 8 binary64) z) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (+.f64 #s(literal -8 binary64) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) (neg.f64 z))) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal -8 binary64)))
(/.f64 (fma.f64 (*.f64 x (neg.f64 y)) #s(literal 8 binary64) (*.f64 #s(literal -2 binary64) z)) #s(literal -16 binary64))
(/.f64 (fma.f64 (*.f64 x (neg.f64 y)) (/.f64 #s(literal 8 binary64) z) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (fma.f64 (*.f64 x (neg.f64 y)) #s(literal -8 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 z))) #s(literal 16 binary64))
(/.f64 (fma.f64 (*.f64 x y) (/.f64 #s(literal 8 binary64) z) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (-.f64 (*.f64 (*.f64 x y) #s(literal -8 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 z))) #s(literal -16 binary64))
(/.f64 (-.f64 #s(literal 8 binary64) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) z)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 8 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 8 binary64) z) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (-.f64 #s(literal -8 binary64) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) (neg.f64 z))) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal -8 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 x (neg.f64 y)) #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z)) #s(literal -16 binary64))
(/.f64 (fma.f64 (*.f64 x (neg.f64 y)) (/.f64 #s(literal 8 binary64) z) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (-.f64 (*.f64 (*.f64 x (neg.f64 y)) #s(literal -8 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 z))) #s(literal 16 binary64))
(/.f64 (neg.f64 (fma.f64 x (*.f64 y #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z))) #s(literal -16 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 x y) z) #s(literal 16 binary64)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64))) (neg.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64))) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64)) (/.f64 (*.f64 (*.f64 x y) z) #s(literal 16 binary64)))))
(pow.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(hypot.f64 (*.f64 x (*.f64 y #s(literal 1/2 binary64))) (*.f64 z #s(literal 1/8 binary64)))
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(exp.f64 (log.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(*.f64 (neg.f64 x) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(neg.f64 (/.f64 x #s(literal -2 binary64)))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (sqrt.f64 (exp.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z #s(literal 1/8 binary64)))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 z #s(literal 1/8 binary64)))
(*.f64 z #s(literal 1/8 binary64))
(*.f64 z #s(literal -1/8 binary64))
(*.f64 (*.f64 z #s(literal 1/8 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 z #s(literal 1/8 binary64)))
(*.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) (pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) #s(literal -1/8 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) #s(literal 8 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) #s(literal -8 binary64)))
(*.f64 (sqrt.f64 (*.f64 z #s(literal 1/8 binary64))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64))))
(*.f64 (sqrt.f64 (*.f64 z #s(literal 1/8 binary64))) (neg.f64 (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) #s(literal -1/8 binary64)))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) #s(literal 8 binary64)))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) #s(literal -8 binary64)))
(*.f64 (neg.f64 z) #s(literal 1/8 binary64))
(*.f64 (neg.f64 z) #s(literal -1/8 binary64))
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 (neg.f64 (sqrt.f64 (*.f64 z #s(literal 1/8 binary64)))) (sqrt.f64 (*.f64 z #s(literal 1/8 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z #s(literal 1/8 binary64)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))))
(pow.f64 (*.f64 z #s(literal 1/8 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 8 binary64) z) #s(literal -1 binary64))
(neg.f64 (*.f64 z #s(literal 1/8 binary64)))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64)))
(log.f64 (pow.f64 (exp.f64 z) #s(literal 1/8 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z #s(literal 1/8 binary64)))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 z) #s(literal 1/8 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z #s(literal 1/8 binary64))))
(log1p.f64 (expm1.f64 (*.f64 z #s(literal 1/8 binary64))))
(exp.f64 (log.f64 (*.f64 z #s(literal 1/8 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 1 binary64)))

simplify182.0ms (5.4%)

Algorithm
egg-herbie
Rules
484×fmm-def
469×cancel-sign-sub-inv
387×associate-*r/
327×distribute-lft-neg-in
319×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
048712856
1106712267
2326512087
Stop Event
node limit
Counts
472 → 324
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/8 binary64) z)
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(pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 8 binary64) z) #s(literal -1 binary64))
(neg.f64 (*.f64 z #s(literal 1/8 binary64)))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64)))
(log.f64 (pow.f64 (exp.f64 z) #s(literal 1/8 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z #s(literal 1/8 binary64)))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 z) #s(literal 1/8 binary64))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/512 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z #s(literal 1/8 binary64))))
(log1p.f64 (expm1.f64 (*.f64 z #s(literal 1/8 binary64))))
(exp.f64 (log.f64 (*.f64 z #s(literal 1/8 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 z #s(literal -1/8 binary64))
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) y (*.f64 z (/.f64 #s(literal -1/8 binary64) x))))
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) y (*.f64 z (/.f64 #s(literal -1/8 binary64) x))))
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) y (*.f64 z (/.f64 #s(literal -1/8 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) y (*.f64 z (/.f64 #s(literal -1/8 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) y (*.f64 z (/.f64 #s(literal -1/8 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) y (*.f64 z (/.f64 #s(literal -1/8 binary64) x))))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 z #s(literal -1/8 binary64))
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 1/8 binary64) z))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) x (*.f64 z (/.f64 #s(literal -1/8 binary64) y))))
(*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) x (*.f64 z (/.f64 #s(literal -1/8 binary64) y))))
(*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) x (*.f64 z (/.f64 #s(literal -1/8 binary64) y))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) x (*.f64 z (/.f64 #s(literal -1/8 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) x (*.f64 z (/.f64 #s(literal -1/8 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) x (*.f64 z (/.f64 #s(literal -1/8 binary64) y))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 z #s(literal -1/8 binary64))
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1/8 binary64)))
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1/8 binary64)))
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1/8 binary64)))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 z #s(literal -1/8 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1/8 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1/8 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1/8 binary64)))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 z #s(literal -1/8 binary64))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) x (*.f64 z (/.f64 #s(literal -1/8 binary64) y))))
(*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) x (*.f64 z (/.f64 #s(literal -1/8 binary64) y))))
(*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) x (*.f64 z (/.f64 #s(literal -1/8 binary64) y))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) x (*.f64 z (/.f64 #s(literal -1/8 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) x (*.f64 z (/.f64 #s(literal -1/8 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) x (*.f64 z (/.f64 #s(literal -1/8 binary64) y))))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 z #s(literal -1/8 binary64))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x y) (*.f64 z #s(literal -1/8 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) y (*.f64 z (/.f64 #s(literal -1/8 binary64) x))))
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) y (*.f64 z (/.f64 #s(literal -1/8 binary64) x))))
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(log1p.f64 (expm1.f64 (*.f64 z #s(literal 1/8 binary64))))
(*.f64 #s(literal 1/8 binary64) z)
(exp.f64 (log.f64 (*.f64 z #s(literal 1/8 binary64))))
(*.f64 #s(literal 1/8 binary64) z)
(exp.f64 (*.f64 (log.f64 (*.f64 z #s(literal 1/8 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/8 binary64) z)

eval43.0ms (1.3%)

Compiler

Compiled 4675 to 795 computations (83% saved)

prune54.0ms (1.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New3222324
Fresh000
Picked112
Done000
Total3233326
Accuracy
100.0%
Counts
326 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
57.3%
(*.f64 z #s(literal -1/8 binary64))
89.0%
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
Compiler

Compiled 32 to 24 computations (25% saved)

simplify167.0ms (5%)

Algorithm
egg-herbie
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z #s(literal -1/8 binary64))
cost-diff-6144
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
cost-diff0
(*.f64 #s(literal 1/2 binary64) y)
cost-diff0
(/.f64 z x)
cost-diff0
(*.f64 #s(literal -1/8 binary64) (/.f64 z x))
Rules
900×associate-/r/
765×cube-prod
686×fma-define
452×cube-div
410×times-frac
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
017140
131140
261140
397131
4123131
5201131
6396131
71440131
82435131
92593131
102715131
112839131
123036131
133289131
145423131
156701131
167393131
177835131
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
x
(+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal -1/8 binary64) (/.f64 z x))
#s(literal -1/8 binary64)
(/.f64 z x)
z
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(*.f64 z #s(literal -1/8 binary64))
z
#s(literal -1/8 binary64)
Outputs
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (fma.f64 z (/.f64 #s(literal -1/8 binary64) x) (*.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
x
(+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 z (/.f64 #s(literal -1/8 binary64) x) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal -1/8 binary64) (/.f64 z x))
#s(literal -1/8 binary64)
(/.f64 z x)
z
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(*.f64 z #s(literal -1/8 binary64))
(*.f64 #s(literal -1/8 binary64) z)
z
#s(literal -1/8 binary64)

localize39.0ms (1.2%)

Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 z #s(literal -1/8 binary64))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) y)
accuracy100.0%
(*.f64 #s(literal -1/8 binary64) (/.f64 z x))
accuracy100.0%
(+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y))
accuracy89.0%
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
Results
27.0ms256×0valid
Compiler

Compiled 43 to 13 computations (69.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 6.0ms (58% of total)
ival-div: 2.0ms (19.3% of total)
ival-add: 1.0ms (9.7% 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)

series90.0ms (2.7%)

Counts
6 → 69
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal -1/8 binary64) (/.f64 z x))>
#<alt (/.f64 z x)>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (*.f64 z #s(literal -1/8 binary64))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y))>
Outputs
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))>
#<alt (*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))>
#<alt (*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 #s(literal -1/8 binary64) (/.f64 z x))>
#<alt (*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y z)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y z)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y z)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1/8 binary64) (/.f64 z x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y z)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y z)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y z)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1/8 binary64) (/.f64 z x))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) x)>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 #s(literal -1/8 binary64) (/.f64 z x))>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 z (*.f64 x y)))))>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 z (*.f64 x y)))))>
#<alt (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 z (*.f64 x y)))))>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 z (*.f64 x y))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 z (*.f64 x y))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 z (*.f64 x y))) #s(literal 1/2 binary64))))>
Calls

36 calls:

TimeVariablePointExpression
74.0ms
x
@-inf
(/ z x)
3.0ms
y
@inf
(* 1/2 y)
2.0ms
z
@-inf
(* -1/8 (/ z x))
1.0ms
z
@0
(* -1/8 (/ z x))
1.0ms
y
@0
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))

rewrite134.0ms (4%)

Algorithm
batch-egg-rewrite
Rules
692×log1p-expm1-u
692×expm1-log1p-u
621×log-prod
456×fma-define
191×fmm-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017121
1214121
23078121
Stop Event
node limit
Counts
6 → 237
Calls
Call 1
Inputs
(*.f64 #s(literal -1/8 binary64) (/.f64 z x))
(/.f64 z x)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 z #s(literal -1/8 binary64))
(+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y))
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))) (cbrt.f64 (exp.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))) #s(literal 1 binary64))
(/.f64 #s(literal -1/8 binary64) (/.f64 x z))
(/.f64 (*.f64 #s(literal -1/8 binary64) z) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(literal -1/8 binary64) z)))
(/.f64 (neg.f64 (*.f64 #s(literal -1/8 binary64) z)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (*.f64 #s(literal -1/8 binary64) (neg.f64 z)) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 z) #s(literal -1/8 binary64)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(pow.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)))
(exp.f64 (log.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 z x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 z x))) (cbrt.f64 (exp.f64 (/.f64 z x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 z x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 z x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 z x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 z x))) #s(literal 1 binary64))
(*.f64 z (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 z x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 z x))
(*.f64 (cbrt.f64 (/.f64 z x)) (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 z x)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) x))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 z x)) (sqrt.f64 (/.f64 z x)))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) x))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) z)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 z (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 z) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 z) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) x))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) (cbrt.f64 x)))
(pow.f64 (/.f64 z x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 z x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x z) #s(literal -1 binary64))
(neg.f64 (/.f64 z (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 z) x))
(sqrt.f64 (pow.f64 (/.f64 z x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 z x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 z x))))
(cbrt.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 z x)))
(log1p.f64 (expm1.f64 (/.f64 z x)))
(exp.f64 (log.f64 (/.f64 z x)))
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) y))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (-.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)) (pow.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) #s(literal -1/512 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal -1/2 binary64) y)) (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) #s(literal -1/512 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (-.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)) (pow.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) #s(literal -1/512 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x) (*.f64 #s(literal 1/2 binary64) y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal -1/2 binary64) y)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) #s(literal -1/512 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (-.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)) (pow.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal -1/2 binary64) y))))
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)))))
(log.f64 (*.f64 (exp.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) y)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))) (pow.f64 (exp.f64 y) #s(literal 1/2 binary64))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) y)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) y))) (exp.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) y))) (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 z (/.f64 #s(literal -1/8 binary64) x) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/8 binary64)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 z x) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))
(fma.f64 y #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))
(fma.f64 (*.f64 #s(literal -1/8 binary64) z) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) z) x) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 z x)) #s(literal -1/8 binary64)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -1/8 binary64) z)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 #s(literal -1/8 binary64) z)) x) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) y)) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))
(fma.f64 (cbrt.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))
(fma.f64 (sqrt.f64 (/.f64 z x)) (*.f64 (sqrt.f64 (/.f64 z x)) #s(literal -1/8 binary64)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -1/8 binary64) z)) (/.f64 (sqrt.f64 (*.f64 #s(literal -1/8 binary64) z)) x) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))
(fma.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)) (sqrt.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) z) (cbrt.f64 x)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (*.f64 #s(literal -1/8 binary64) z) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 z (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 x)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 z (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 #s(literal -1/8 binary64) x) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 z (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (cbrt.f64 x)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -1/8 binary64) z)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 #s(literal -1/8 binary64) z)) x) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -1/8 binary64) z)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -1/8 binary64) z)) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 #s(literal -1/8 binary64) z)) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -1/8 binary64) z)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 #s(literal -1/8 binary64) z)) x) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -1/8 binary64) z)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 #s(literal -1/8 binary64) z)) (cbrt.f64 x)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y) (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 z x))) (sqrt.f64 (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y))

simplify150.0ms (4.5%)

Algorithm
egg-herbie
Rules
472×cancel-sign-sub-inv
427×distribute-lft-neg-in
404×distribute-rgt-neg-in
332×fmm-def
292×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05639729
112449570
239469378
Stop Event
node limit
Counts
306 → 314
Calls
Call 1
Inputs
(*.f64 #s(literal -1/8 binary64) z)
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 #s(literal -1/8 binary64) z)
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal -1/8 binary64) (/.f64 z x))
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y z)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y z)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y z)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1/8 binary64) (/.f64 z x))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y z)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y z)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y z)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1/8 binary64) (/.f64 z x))
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) x)
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) x)
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) x)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal -1/8 binary64) (/.f64 z x))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 z (*.f64 x y)))))
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(fma.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 z x) x)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 z x) x)))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) y (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 z x) x)))
(fma.f64 (*.f64 x y) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 z x) x)))
(fma.f64 (*.f64 x (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 z x) x)))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 #s(literal 1/2 binary64) y))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) y)) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 z x) x)))
(fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(fma.f64 (*.f64 x #s(literal -1/8 binary64)) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(fma.f64 (*.f64 x (/.f64 z x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(fma.f64 (*.f64 x (sqrt.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))) (sqrt.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/8 binary64) z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -1/8 binary64))) (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -1/8 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -1/8 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) #s(literal -1/8 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) #s(literal -1/8 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/8 binary64) z))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/8 binary64) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1/8 binary64) z)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64)))
(log.f64 (pow.f64 (exp.f64 z) #s(literal -1/8 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/8 binary64) z))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/8 binary64) z)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/8 binary64) z)))
(exp.f64 (log.f64 (*.f64 #s(literal -1/8 binary64) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/8 binary64) z)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal -1/2 binary64) y))) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal -1/2 binary64) y))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))))
(*.f64 (fma.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) #s(literal -1/512 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (-.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)) (pow.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal -1/2 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (-.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)) (pow.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) #s(literal -1/512 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal -1/2 binary64) y)) (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) #s(literal -1/512 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (-.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)) (pow.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) #s(literal -1/512 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x) (*.f64 #s(literal 1/2 binary64) y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal -1/2 binary64) y)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) #s(literal -1/512 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (-.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)) (pow.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal -1/2 binary64) y))))
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)))))
(log.f64 (*.f64 (exp.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) y)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))) (pow.f64 (exp.f64 y) #s(literal 1/2 binary64))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) y)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) y))) (exp.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) y))) (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 z (/.f64 #s(literal -1/8 binary64) x) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 z (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/8 binary64)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 z x) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))
(fma.f64 y #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))
(fma.f64 (*.f64 #s(literal -1/8 binary64) z) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) z) x) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 z x)) #s(literal -1/8 binary64)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -1/8 binary64) z)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 #s(literal -1/8 binary64) z)) x) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) y)) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))
(fma.f64 (cbrt.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))
(fma.f64 (sqrt.f64 (/.f64 z x)) (*.f64 (sqrt.f64 (/.f64 z x)) #s(literal -1/8 binary64)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -1/8 binary64) z)) (/.f64 (sqrt.f64 (*.f64 #s(literal -1/8 binary64) z)) x) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))
(fma.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)) (sqrt.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) z) (cbrt.f64 x)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (*.f64 #s(literal -1/8 binary64) z) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 z (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 x)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 z (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 #s(literal -1/8 binary64) x) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 z (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (cbrt.f64 x)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -1/8 binary64) z)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 #s(literal -1/8 binary64) z)) x) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -1/8 binary64) z)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -1/8 binary64) z)) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 #s(literal -1/8 binary64) z)) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -1/8 binary64) z)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 #s(literal -1/8 binary64) z)) x) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -1/8 binary64) z)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 #s(literal -1/8 binary64) z)) (cbrt.f64 x)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y) (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 z x))) (sqrt.f64 (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y))
Outputs
(*.f64 #s(literal -1/8 binary64) z)
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 z x)))))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1/8 binary64)))
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1/8 binary64)))
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64)))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1/8 binary64)))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 (neg.f64 z) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)))))
(*.f64 z (neg.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal 1/8 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 (neg.f64 z) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)))))
(*.f64 z (neg.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal 1/8 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 (neg.f64 z) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)))))
(*.f64 z (neg.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal 1/8 binary64))))
(*.f64 #s(literal -1/8 binary64) z)
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) x (*.f64 z (/.f64 #s(literal -1/8 binary64) y))))
(*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) x (*.f64 z (/.f64 #s(literal -1/8 binary64) y))))
(*.f64 y (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z y)) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) x (*.f64 z (/.f64 #s(literal -1/8 binary64) y))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) x (*.f64 z (/.f64 #s(literal -1/8 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) x (*.f64 z (/.f64 #s(literal -1/8 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 z y)))))
(*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) x (*.f64 z (/.f64 #s(literal -1/8 binary64) y))))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal -1/8 binary64) (/.f64 z x))
(/.f64 (*.f64 #s(literal -1/8 binary64) z) x)
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y z)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y z)) (/.f64 #s(literal -1/8 binary64) x)))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 y z) (/.f64 #s(literal -1/8 binary64) x)))
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y z)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y z)) (/.f64 #s(literal -1/8 binary64) x)))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 y z) (/.f64 #s(literal -1/8 binary64) x)))
(*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y z)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y z)) (/.f64 #s(literal -1/8 binary64) x)))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (/.f64 y z) (/.f64 #s(literal -1/8 binary64) x)))
(*.f64 #s(literal -1/8 binary64) (/.f64 z x))
(/.f64 (*.f64 #s(literal -1/8 binary64) z) x)
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y z)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 y z) (/.f64 #s(literal 1/8 binary64) x)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y z) (/.f64 #s(literal 1/8 binary64) x)) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y z)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 y z) (/.f64 #s(literal 1/8 binary64) x)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y z) (/.f64 #s(literal 1/8 binary64) x)) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y z)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 (neg.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 y z) (/.f64 #s(literal 1/8 binary64) x)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y z) (/.f64 #s(literal 1/8 binary64) x)) (neg.f64 z))
(*.f64 #s(literal -1/8 binary64) (/.f64 z x))
(/.f64 (*.f64 #s(literal -1/8 binary64) z) x)
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) x)
(/.f64 (fma.f64 #s(literal -1/8 binary64) z (*.f64 (*.f64 #s(literal 1/2 binary64) x) y)) x)
(/.f64 (fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y))) x)
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) x)
(/.f64 (fma.f64 #s(literal -1/8 binary64) z (*.f64 (*.f64 #s(literal 1/2 binary64) x) y)) x)
(/.f64 (fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y))) x)
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) x)
(/.f64 (fma.f64 #s(literal -1/8 binary64) z (*.f64 (*.f64 #s(literal 1/2 binary64) x) y)) x)
(/.f64 (fma.f64 #s(literal -1/8 binary64) z (*.f64 x (*.f64 #s(literal 1/2 binary64) y))) x)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal -1/8 binary64) (/.f64 z x))
(/.f64 (*.f64 #s(literal -1/8 binary64) z) x)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 z (*.f64 x y)))))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 x y))))
(*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z (*.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 z (*.f64 x y)))))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 x y))))
(*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z (*.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 z (*.f64 x y)))))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 x y))))
(*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z (*.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 z (*.f64 x y))) #s(literal 1/2 binary64))))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 x y))))
(*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z (*.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 z (*.f64 x y))) #s(literal 1/2 binary64))))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 x y))))
(*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z (*.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 z (*.f64 x y))) #s(literal 1/2 binary64))))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 x y))))
(*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z (*.f64 x y)) #s(literal 1/2 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))
(/.f64 (*.f64 #s(literal -1/8 binary64) z) x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))) (cbrt.f64 (exp.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 z x)) #s(literal -1/8 binary64))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 z x)) #s(literal -1/8 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 z x)) #s(literal -1/8 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)))))
(*.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 z x)) #s(literal -1/8 binary64)))) #s(literal 2 binary64))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)))
(/.f64 #s(literal -1/8 binary64) (/.f64 x z))
(/.f64 (*.f64 #s(literal -1/8 binary64) z) x)
(/.f64 (*.f64 #s(literal -1/8 binary64) z) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(literal -1/8 binary64) z)))
(/.f64 (*.f64 #s(literal -1/8 binary64) z) x)
(/.f64 (neg.f64 (*.f64 #s(literal -1/8 binary64) z)) (neg.f64 x))
(/.f64 (*.f64 #s(literal -1/8 binary64) z) x)
(/.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (*.f64 #s(literal -1/8 binary64) z) x)
(/.f64 (*.f64 #s(literal -1/8 binary64) (neg.f64 z)) (neg.f64 x))
(/.f64 (*.f64 #s(literal -1/8 binary64) z) x)
(/.f64 (*.f64 (neg.f64 z) #s(literal -1/8 binary64)) (neg.f64 x))
(/.f64 (*.f64 #s(literal -1/8 binary64) z) x)
(/.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 1 binary64)) x)
(/.f64 (*.f64 #s(literal -1/8 binary64) z) x)
(/.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (*.f64 #s(literal -1/8 binary64) z) x)
(pow.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal -1/8 binary64) z) x)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)) #s(literal 3 binary64))
(/.f64 (*.f64 #s(literal -1/8 binary64) z) x)
(pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (*.f64 #s(literal -1/8 binary64) z) x)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -1/8 binary64) z) x)
(sqrt.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1/8 binary64) z) x)
(log.f64 (exp.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)))
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(fma.f64 (sqrt.f64 (*.f64 #s(literal -1/8 binary64) z)) (/.f64 (sqrt.f64 (*.f64 #s(literal -1/8 binary64) z)) x) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))
(fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))
(fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))
(fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)) (sqrt.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))
(fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))
(fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))
(fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) z) (cbrt.f64 x)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))
(fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (*.f64 #s(literal -1/8 binary64) z) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))
(fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 z (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))
(fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 z (cbrt.f64 x)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))
(fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 z (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))
(fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 #s(literal -1/8 binary64) x) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))
(fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 z (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (cbrt.f64 x)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))
(fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -1/8 binary64) z)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 #s(literal -1/8 binary64) z)) x) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))
(fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -1/8 binary64) z)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) z) x)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -1/8 binary64) z)) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 #s(literal -1/8 binary64) z)) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))
(fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -1/8 binary64) z)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 #s(literal -1/8 binary64) z)) x) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))
(fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -1/8 binary64) z)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 #s(literal -1/8 binary64) z)) (cbrt.f64 x)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))
(fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))
(fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y) (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))
(fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))
(fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (cbrt.f64 (/.f64 z x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))
(fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 z x))) (sqrt.f64 (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) y (/.f64 (*.f64 #s(literal -1/8 binary64) z) x))
(fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (*.f64 #s(literal 1/2 binary64) y))

eval39.0ms (1.2%)

Compiler

Compiled 5264 to 1042 computations (80.2% saved)

prune188.0ms (5.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New3131314
Fresh000
Picked022
Done011
Total3134317
Accuracy
100.0%
Counts
317 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
44.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) x) y)
57.3%
(*.f64 z #s(literal -1/8 binary64))
89.0%
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
Compiler

Compiled 40 to 30 computations (25% saved)

simplify7.0ms (0.2%)

Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
cost-diff0
(*.f64 (*.f64 #s(literal 1/2 binary64) x) y)
Rules
*-commutative
associate-*r*
associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01038
11438
22138
32338
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
y
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
y

localize22.0ms (0.6%)

Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) x) y)
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) x)
Results
16.0ms256×0valid
Compiler

Compiled 13 to 8 computations (38.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 4.0ms (97.9% 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)

series1.0ms (0%)

Counts
2 → 24
Calls
Call 1
Inputs
#<alt (*.f64 (*.f64 #s(literal 1/2 binary64) x) y)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x y))>
Calls

9 calls:

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

rewrite66.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
397×unpow-prod-down
364×log1p-expm1-u
364×expm1-log1p-u
347×add-exp-log
333×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01029
18829
2101229
Stop Event
node limit
Counts
2 → 42
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 #s(literal 1/2 binary64) x)
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x))) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) y))) (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) y))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y))))) (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) y))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 x))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x)))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 1/2 binary64) x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)))) (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (sqrt.f64 (exp.f64 x)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) x)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))

simplify82.0ms (2.4%)

Algorithm
egg-herbie
Rules
736×fma-define
627×fmm-def
386×associate-*r*
373×distribute-lft-out
326×exp-sum
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01211338
12081338
23971338
38881338
423931338
549531338
Stop Event
node limit
Counts
66 → 55
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x))) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) y))) (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) y))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y))))) (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) y))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 x))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x)))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 1/2 binary64) x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)))) (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (sqrt.f64 (exp.f64 x)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) x)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x))) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) y))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y))) (log.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) y))) (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) y))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) y))))
(*.f64 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) y))) #s(literal 2 binary64))
(*.f64 (log.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y)))) #s(literal 2 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) #s(literal 3 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(pow.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(pow.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y))))) (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y))))) (sqrt.f64 (log.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x))))) (sqrt.f64 (log.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) x)))))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(log.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x y))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(+.f64 (log.f64 (cbrt.f64 (exp.f64 x))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x)))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)))) (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(log.f64 (sqrt.f64 (exp.f64 x)))
(*.f64 #s(literal 1/2 binary64) x)
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) x)
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) x)
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)

eval7.0ms (0.2%)

Compiler

Compiled 537 to 171 computations (68.2% saved)

prune18.0ms (0.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New55055
Fresh000
Picked011
Done033
Total55459
Accuracy
100.0%
Counts
59 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
44.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) x) y)
57.3%
(*.f64 z #s(literal -1/8 binary64))
89.0%
(*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 z x)) (*.f64 #s(literal 1/2 binary64) y)))
Compiler

Compiled 79 to 53 computations (32.9% saved)

regimes19.0ms (0.6%)

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

7 calls:

4.0ms
(/.f64 (*.f64 x y) #s(literal 2 binary64))
2.0ms
(/.f64 z #s(literal 8 binary64))
2.0ms
z
2.0ms
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
2.0ms
(*.f64 x y)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
100.0%1(/.f64 (*.f64 x y) #s(literal 2 binary64))
100.0%1(*.f64 x y)
100.0%1(/.f64 z #s(literal 8 binary64))
Compiler

Compiled 44 to 33 computations (25% saved)

regimes18.0ms (0.5%)

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

7 calls:

4.0ms
(/.f64 z #s(literal 8 binary64))
3.0ms
x
2.0ms
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
2.0ms
z
2.0ms
y
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
100.0%1(/.f64 (*.f64 x y) #s(literal 2 binary64))
100.0%1(*.f64 x y)
100.0%1(/.f64 z #s(literal 8 binary64))
Compiler

Compiled 44 to 33 computations (25% saved)

regimes5.0ms (0.2%)

Counts
2 → 3
Calls
Call 1
Inputs
(*.f64 z #s(literal -1/8 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) y)
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 z #s(literal -1/8 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) y)
Calls

3 calls:

2.0ms
z
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
76.3%3x
74.8%3y
73.5%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

1.0ms
x
1.0ms
z
1.0ms
y
Results
AccuracySegmentsBranch
57.3%1z
57.3%1y
57.3%1x
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch28.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
1.366703553039535e-51
1.0331328257828792e-44
11.0ms
-8.935629055042693e+101
-1.5911745352066497e+101
Results
15.0ms240×0valid
Compiler

Compiled 255 to 210 computations (17.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 4.0ms (51.4% of total)
ival-mult: 2.0ms (25.7% of total)
ival-sub: 1.0ms (12.9% 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)

simplify5.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
034134
146134
255134
361134
466134
568134
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(if (<=.f64 x #s(literal -165000000000000005537980371448980084107146201540375502895002163281048621618529902111778682574450196480 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (if (<=.f64 x #s(literal 4097692012860425/401734511064747568885490523085290650630550748445698208825344 binary64)) (*.f64 z #s(literal -1/8 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(*.f64 z #s(literal -1/8 binary64))
Outputs
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (/.f64 z #s(literal -8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(if (<=.f64 x #s(literal -165000000000000005537980371448980084107146201540375502895002163281048621618529902111778682574450196480 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (if (<=.f64 x #s(literal 4097692012860425/401734511064747568885490523085290650630550748445698208825344 binary64)) (*.f64 z #s(literal -1/8 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(if (or (<=.f64 x #s(literal -165000000000000005537980371448980084107146201540375502895002163281048621618529902111778682574450196480 binary64)) (not (<=.f64 x #s(literal 4097692012860425/401734511064747568885490523085290650630550748445698208825344 binary64)))) (*.f64 y (*.f64 x #s(literal 1/2 binary64))) (*.f64 z #s(literal -1/8 binary64)))
(*.f64 z #s(literal -1/8 binary64))

soundness483.0ms (14.4%)

Rules
661×fma-define
484×fmm-def
472×cancel-sign-sub-inv
469×cancel-sign-sub-inv
427×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041398
183342
2171330
3373330
4780330
51446330
62207330
72262330
82268330
92268330
05639729
112449570
239469378
048712856
1106712267
2326512087
Stop Event
done
node limit
node limit
saturated
Compiler

Compiled 118 to 62 computations (47.5% saved)

preprocess39.0ms (1.2%)

Remove

(sort x y)

Compiler

Compiled 170 to 116 computations (31.8% saved)

end0.0ms (0%)

Profiling

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