Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1

Time bar (total: 4.1s)

analyze307.0ms (7.4%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
0%0%99.9%0.1%0%0%0%7
0%0%99.9%0.1%0%0%0%8
2.3%2.3%97.5%0.1%0%0%0%9
2.7%2.7%97.1%0.1%0%0%0%10
4.1%4.1%95.8%0.1%0%0%0%11
6.2%6.1%93.7%0.1%0%0%0%12
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.0s (25.2%)

Samples
838.0ms8 254×0valid
0.0ms1×2valid
0.0ms1×1valid
Precisions
Click to see histograms. Total time spent on operations: 449.0ms
ival-add: 204.0ms (45.4% of total)
ival-div: 134.0ms (29.8% of total)
ival-mult: 98.0ms (21.8% of total)
ival-true: 7.0ms (1.6% of total)
ival-assert: 4.0ms (0.9% of total)
...in/eval/compile.rkt:76:19: 3.0ms (0.7% of total)
adjust: 0.0ms (0% of total)
Bogosity

preprocess215.0ms (5.2%)

Algorithm
1×egg-herbie
Rules
1 010×fmm-def
531×fma-define
206×distribute-rgt-in
150×sub-neg
128×associate-+l-
Iterations

Useful iterations: 10 (0.0ms)

IterNodesCost
040435
199371
2275371
3801323
41688297
52817292
63293292
73479292
83529292
93537292
103537276
114075276
124075276
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
(+.f64 (+.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 y (neg.f64 x))) z)
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 y) x)) z)
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (neg.f64 z))
(neg.f64 (+.f64 (+.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 y (neg.f64 x))) z))
(neg.f64 (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 y) x)) z))
(neg.f64 (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (neg.f64 z)))
(+.f64 (+.f64 (/.f64 y #s(literal 2 binary64)) (*.f64 x y)) z)
(+.f64 (+.f64 (/.f64 z #s(literal 2 binary64)) (*.f64 y z)) x)
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 z x)) y)
Outputs
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
(+.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 x y) z))
(+.f64 (/.f64 x #s(literal 2 binary64)) (fma.f64 x y z))
(-.f64 z (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))
(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
(+.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 x y) z))
(+.f64 (/.f64 x #s(literal 2 binary64)) (fma.f64 x y z))
(-.f64 z (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))
(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)
(+.f64 (+.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 y (neg.f64 x))) z)
(+.f64 z (+.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 x (neg.f64 y))))
(-.f64 z (fma.f64 x y (/.f64 x #s(literal 2 binary64))))
(+.f64 z (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))
(fma.f64 x (-.f64 #s(literal -1/2 binary64) y) z)
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 y) x)) z)
(+.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 x (neg.f64 y)) z))
(+.f64 (/.f64 x #s(literal 2 binary64)) (fma.f64 y (neg.f64 x) z))
(+.f64 (/.f64 x #s(literal 2 binary64)) (-.f64 z (*.f64 x y)))
(-.f64 z (*.f64 x (+.f64 y #s(literal -1/2 binary64))))
(+.f64 z (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) z)
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (neg.f64 z))
(-.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 x y)) z)
(-.f64 (fma.f64 x y (/.f64 x #s(literal 2 binary64))) z)
(-.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)
(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z))
(neg.f64 (+.f64 (+.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 y (neg.f64 x))) z))
(-.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 x y)) z)
(-.f64 (fma.f64 x y (/.f64 x #s(literal 2 binary64))) z)
(-.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)
(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (neg.f64 z))
(neg.f64 (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 y) x)) z))
(neg.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 x (neg.f64 y)) z)))
(-.f64 (/.f64 x #s(literal -2 binary64)) (fma.f64 y (neg.f64 x) z))
(+.f64 (*.f64 x y) (-.f64 (*.f64 x #s(literal -1/2 binary64)) z))
(-.f64 (*.f64 x (+.f64 y #s(literal -1/2 binary64))) z)
(neg.f64 (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (neg.f64 z)))
(+.f64 z (+.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 x (neg.f64 y))))
(-.f64 z (fma.f64 x y (/.f64 x #s(literal 2 binary64))))
(+.f64 z (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))
(fma.f64 x (-.f64 #s(literal -1/2 binary64) y) z)
(+.f64 (+.f64 (/.f64 y #s(literal 2 binary64)) (*.f64 x y)) z)
(+.f64 z (+.f64 (*.f64 x y) (/.f64 y #s(literal 2 binary64))))
(+.f64 z (fma.f64 x y (/.f64 y #s(literal 2 binary64))))
(+.f64 z (fma.f64 x y (*.f64 y #s(literal 1/2 binary64))))
(+.f64 z (*.f64 y (+.f64 x #s(literal 1/2 binary64))))
(fma.f64 y (+.f64 x #s(literal 1/2 binary64)) z)
(+.f64 (+.f64 (/.f64 z #s(literal 2 binary64)) (*.f64 y z)) x)
(+.f64 x (+.f64 (/.f64 z #s(literal 2 binary64)) (*.f64 y z)))
(+.f64 x (fma.f64 y z (/.f64 z #s(literal 2 binary64))))
(+.f64 x (fma.f64 y z (*.f64 z #s(literal 1/2 binary64))))
(+.f64 x (*.f64 z (+.f64 #s(literal 1/2 binary64) y)))
(+.f64 x (*.f64 z (+.f64 y #s(literal 1/2 binary64))))
(fma.f64 z (+.f64 y #s(literal 1/2 binary64)) x)
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 z x)) y)
(+.f64 y (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 x z)))
(+.f64 y (fma.f64 x z (/.f64 x #s(literal 2 binary64))))
(+.f64 (/.f64 x #s(literal 2 binary64)) (fma.f64 x z y))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 x z y))
(+.f64 y (*.f64 x (+.f64 #s(literal 1/2 binary64) z)))
(+.f64 y (*.f64 x (+.f64 z #s(literal 1/2 binary64))))
(fma.f64 x (+.f64 z #s(literal 1/2 binary64)) y)

explain93.0ms (2.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
00-0-#s(literal 2 binary64)
00-0-y
00-0-(/.f64 x #s(literal 2 binary64))
00-0-z
00-0-(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
00-0-(*.f64 y x)
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
Samples
32.0ms512×0valid
Compiler

Compiled 80 to 36 computations (55% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-add: 5.0ms (36.7% of total)
ival-mult: 5.0ms (36.7% of total)
ival-div: 4.0ms (29.3% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 33 to 17 computations (48.5% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(-.f64 z (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))
Compiler

Compiled 10 to 7 computations (30% saved)

simplify38.0ms (0.9%)

Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓cost-diff-6272
(-.f64 z (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))
✓cost-diff0
(-.f64 #s(literal -1/2 binary64) y)
✓cost-diff0
(*.f64 x (-.f64 #s(literal -1/2 binary64) y))
Rules
239×fmm-def
201×fma-define
45×sub-neg
37×distribute-rgt-in
37×associate--r+
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01370
12270
24970
314266
429166
551366
678066
797666
8104966
9106166
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 z (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))
z
(*.f64 x (-.f64 #s(literal -1/2 binary64) y))
x
(-.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
Outputs
(-.f64 z (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))
(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)
z
(*.f64 x (-.f64 #s(literal -1/2 binary64) y))
x
(-.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y

localize22.0ms (0.5%)

Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 z (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))
✓accuracy100.0%
(-.f64 #s(literal -1/2 binary64) y)
✓accuracy100.0%
(*.f64 x (-.f64 #s(literal -1/2 binary64) y))
Samples
15.0ms256×0valid
Compiler

Compiled 21 to 9 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sub: 6.0ms (72.7% of total)
ival-mult: 2.0ms (24.2% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.2%)

Counts
3 → 72
Calls
Call 1
Inputs
#<alt (*.f64 x (-.f64 #s(literal -1/2 binary64) y))>
#<alt (-.f64 #s(literal -1/2 binary64) y)>
#<alt (-.f64 z (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal -1/2 binary64) x))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal -1/2 binary64) x))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal -1/2 binary64) x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))>
#<alt #s(literal -1/2 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) y))>
#<alt (-.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) y))))>
#<alt (-.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) y))))>
#<alt (-.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) y))))>
#<alt z>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)))>
#<alt z>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)) #s(literal 1 binary64))))>
#<alt z>
#<alt (+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))>
#<alt (+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))>
#<alt (+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 x (-.f64 (/.f64 z x) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) y))))>
#<alt (*.f64 x (-.f64 (/.f64 z x) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) y))))>
#<alt (*.f64 x (-.f64 (/.f64 z x) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) y))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (+.f64 #s(literal 1/2 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (+.f64 #s(literal 1/2 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (+.f64 #s(literal 1/2 binary64) y))))>
#<alt (-.f64 z (*.f64 #s(literal -1/2 binary64) x))>
#<alt (-.f64 (+.f64 z (*.f64 x y)) (*.f64 #s(literal -1/2 binary64) x))>
#<alt (-.f64 (+.f64 z (*.f64 x y)) (*.f64 #s(literal -1/2 binary64) x))>
#<alt (-.f64 (+.f64 z (*.f64 x y)) (*.f64 #s(literal -1/2 binary64) x))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (-.f64 (/.f64 z y) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))>
#<alt (*.f64 y (-.f64 (/.f64 z y) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))>
#<alt (*.f64 y (-.f64 (/.f64 z y) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 z (*.f64 #s(literal -1/2 binary64) x)) y)) x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 z (*.f64 #s(literal -1/2 binary64) x)) y)) x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 z (*.f64 #s(literal -1/2 binary64) x)) y)) x)))>
Calls

18 calls:

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

rewrite240.0ms (5.8%)

Algorithm
1×batch-egg-rewrite
Rules
826×log1p-expm1-u
826×expm1-log1p-u
677×prod-diff
386×log-prod
256×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01357
115557
2216957
Stop Event
1×node limit
Counts
3 → 204
Calls
Call 1
Inputs
(*.f64 x (-.f64 #s(literal -1/2 binary64) y))
(-.f64 #s(literal -1/2 binary64) y)
(-.f64 z (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))
(+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x (neg.f64 y)))
(+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (neg.f64 y) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal -1/2 binary64) y)) x)) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal -1/2 binary64) y)) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal -1/2 binary64) y)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal -1/2 binary64) y)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 #s(literal -1/2 binary64) y)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))) #s(literal 1 binary64))
(/.f64 (*.f64 x (-.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 #s(literal -1/2 binary64) y) #s(literal 1/4 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal -1/2 binary64) y))
(/.f64 (*.f64 (-.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 y (+.f64 #s(literal -1/2 binary64) y) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))) x) (+.f64 #s(literal -1/2 binary64) y))
(pow.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (-.f64 #s(literal -1/2 binary64) y)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y))) #s(literal 1 binary64)))
(fma.f64 x #s(literal -1/2 binary64) (*.f64 x (neg.f64 y)))
(fma.f64 #s(literal -1/2 binary64) x (*.f64 (neg.f64 y) x))
(+.f64 #s(literal -1/2 binary64) (neg.f64 y))
(+.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(+.f64 (neg.f64 y) #s(literal -1/2 binary64))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/2 binary64) y))
(+.f64 (log.f64 (exp.f64 #s(literal -1/2 binary64))) (neg.f64 y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 #s(literal -1/2 binary64) y))) (cbrt.f64 (exp.f64 (-.f64 #s(literal -1/2 binary64) y))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 #s(literal -1/2 binary64) y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 #s(literal -1/2 binary64) y)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 #s(literal -1/2 binary64) y)))))
(*.f64 (-.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) y))
(*.f64 (cbrt.f64 (-.f64 #s(literal -1/2 binary64) y)) (pow.f64 (cbrt.f64 (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal -1/2 binary64) y)))
(*.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) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal -1/2 binary64) y) #s(literal 1/4 binary64))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 #s(literal -1/2 binary64) y) #s(literal 1/4 binary64)) (-.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 #s(literal -1/2 binary64) y) #s(literal 1/4 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))) (+.f64 #s(literal -1/2 binary64) y))
(/.f64 (neg.f64 (-.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (+.f64 #s(literal -1/2 binary64) y) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal -1/2 binary64) y)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 #s(literal -1/2 binary64) (neg.f64 y)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 #s(literal -1/2 binary64) (neg.f64 y)))
(pow.f64 (-.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal -1/2 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal -1/2 binary64) y))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 #s(literal -1/2 binary64) y)))
(log1p.f64 (expm1.f64 (-.f64 #s(literal -1/2 binary64) y)))
(exp.f64 (log.f64 (-.f64 #s(literal -1/2 binary64) y)))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal -1/2 binary64) y)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 y) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)) #s(literal -1/2 binary64))
(fma.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)) #s(literal -1/2 binary64))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y))) (cbrt.f64 (neg.f64 y)) #s(literal -1/2 binary64))
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) #s(literal -1/2 binary64))
(fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) #s(literal -1/2 binary64))
(fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) #s(literal -1/2 binary64))
(+.f64 z (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y))))
(+.f64 z (*.f64 (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y))) #s(literal 1 binary64)))
(+.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z) (fma.f64 (neg.f64 x) (-.f64 #s(literal -1/2 binary64) y) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(+.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z) (fma.f64 (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y))) #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(+.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y))) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(+.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z) (fma.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal -1/2 binary64) y)) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(+.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y))) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(+.f64 (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y))) z)
(+.f64 #s(literal 0 binary64) (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z))
(+.f64 (fma.f64 z #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (-.f64 #s(literal -1/2 binary64) y)) x) (pow.f64 (cbrt.f64 (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (-.f64 #s(literal -1/2 binary64) y)) x)) (pow.f64 (cbrt.f64 (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 (-.f64 #s(literal -1/2 binary64) y)) x) (pow.f64 (cbrt.f64 (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)))))
(+.f64 (fma.f64 z #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) (-.f64 #s(literal -1/2 binary64) y)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) (-.f64 #s(literal -1/2 binary64) y))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 x) (-.f64 #s(literal -1/2 binary64) y)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(+.f64 (fma.f64 z #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal -1/2 binary64) y)) x) (sqrt.f64 (-.f64 #s(literal -1/2 binary64) y))))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal -1/2 binary64) y)) x)) (sqrt.f64 (-.f64 #s(literal -1/2 binary64) y)) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal -1/2 binary64) y)) x) (sqrt.f64 (-.f64 #s(literal -1/2 binary64) y)))))
(+.f64 (fma.f64 z #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal -1/2 binary64) y)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal -1/2 binary64) y))) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal -1/2 binary64) y)) (sqrt.f64 x))))
(+.f64 (fma.f64 z #s(literal 1 binary64) (neg.f64 (*.f64 (cbrt.f64 (-.f64 #s(literal -1/2 binary64) y)) (*.f64 x (pow.f64 (cbrt.f64 (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 #s(literal -1/2 binary64) y))) (*.f64 x (pow.f64 (cbrt.f64 (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (-.f64 #s(literal -1/2 binary64) y)) (*.f64 x (pow.f64 (cbrt.f64 (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64))))))
(+.f64 (fma.f64 z #s(literal 1 binary64) (neg.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal -1/2 binary64) y)) (*.f64 x (sqrt.f64 (-.f64 #s(literal -1/2 binary64) y)))))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal -1/2 binary64) y))) (*.f64 x (sqrt.f64 (-.f64 #s(literal -1/2 binary64) y))) (*.f64 (sqrt.f64 (-.f64 #s(literal -1/2 binary64) y)) (*.f64 x (sqrt.f64 (-.f64 #s(literal -1/2 binary64) y))))))
(+.f64 (fma.f64 z #s(literal 1 binary64) (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 (-.f64 #s(literal -1/2 binary64) y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 (-.f64 #s(literal -1/2 binary64) y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) (*.f64 (-.f64 #s(literal -1/2 binary64) y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))))
(+.f64 (fma.f64 z #s(literal 1 binary64) (neg.f64 (*.f64 (sqrt.f64 x) (*.f64 (-.f64 #s(literal -1/2 binary64) y) (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (-.f64 #s(literal -1/2 binary64) y) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 (-.f64 #s(literal -1/2 binary64) y) (sqrt.f64 x)))))
(+.f64 (fma.f64 #s(literal 1 binary64) z (neg.f64 (*.f64 (*.f64 (cbrt.f64 (-.f64 #s(literal -1/2 binary64) y)) x) (pow.f64 (cbrt.f64 (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (-.f64 #s(literal -1/2 binary64) y)) x)) (pow.f64 (cbrt.f64 (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 (-.f64 #s(literal -1/2 binary64) y)) x) (pow.f64 (cbrt.f64 (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) z (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) (-.f64 #s(literal -1/2 binary64) y)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) (-.f64 #s(literal -1/2 binary64) y))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 x) (-.f64 #s(literal -1/2 binary64) y)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) z (neg.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal -1/2 binary64) y)) x) (sqrt.f64 (-.f64 #s(literal -1/2 binary64) y))))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal -1/2 binary64) y)) x)) (sqrt.f64 (-.f64 #s(literal -1/2 binary64) y)) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal -1/2 binary64) y)) x) (sqrt.f64 (-.f64 #s(literal -1/2 binary64) y)))))
(+.f64 (fma.f64 #s(literal 1 binary64) z (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal -1/2 binary64) y)) (sqrt.f64 x)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal -1/2 binary64) y))) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal -1/2 binary64) y)) (sqrt.f64 x))))
(+.f64 (fma.f64 #s(literal 1 binary64) z (neg.f64 (*.f64 (cbrt.f64 (-.f64 #s(literal -1/2 binary64) y)) (*.f64 x (pow.f64 (cbrt.f64 (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 #s(literal -1/2 binary64) y))) (*.f64 x (pow.f64 (cbrt.f64 (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (-.f64 #s(literal -1/2 binary64) y)) (*.f64 x (pow.f64 (cbrt.f64 (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64))))))
(+.f64 (fma.f64 #s(literal 1 binary64) z (neg.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal -1/2 binary64) y)) (*.f64 x (sqrt.f64 (-.f64 #s(literal -1/2 binary64) y)))))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal -1/2 binary64) y))) (*.f64 x (sqrt.f64 (-.f64 #s(literal -1/2 binary64) y))) (*.f64 (sqrt.f64 (-.f64 #s(literal -1/2 binary64) y)) (*.f64 x (sqrt.f64 (-.f64 #s(literal -1/2 binary64) y))))))
(+.f64 (fma.f64 #s(literal 1 binary64) z (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 (-.f64 #s(literal -1/2 binary64) y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 (-.f64 #s(literal -1/2 binary64) y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) (*.f64 (-.f64 #s(literal -1/2 binary64) y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))))
(+.f64 (fma.f64 #s(literal 1 binary64) z (neg.f64 (*.f64 (sqrt.f64 x) (*.f64 (-.f64 #s(literal -1/2 binary64) y) (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (-.f64 #s(literal -1/2 binary64) y) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 (-.f64 #s(literal -1/2 binary64) y) (sqrt.f64 x)))))
(+.f64 (fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (-.f64 #s(literal -1/2 binary64) y)) x) (pow.f64 (cbrt.f64 (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (-.f64 #s(literal -1/2 binary64) y)) x)) (pow.f64 (cbrt.f64 (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 (-.f64 #s(literal -1/2 binary64) y)) x) (pow.f64 (cbrt.f64 (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) (-.f64 #s(literal -1/2 binary64) y)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) (-.f64 #s(literal -1/2 binary64) y))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 x) (-.f64 #s(literal -1/2 binary64) y)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
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(fma.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y))) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(fma.f64 #s(literal 1 binary64) z (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y))))
(fma.f64 #s(literal 1 binary64) z (*.f64 (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z) (fma.f64 (neg.f64 x) (-.f64 #s(literal -1/2 binary64) y) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z) (fma.f64 (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y))) #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y))) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y))) z)
(fma.f64 (cbrt.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z)) (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (-.f64 #s(literal -1/2 binary64) y) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(fma.f64 (cbrt.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z)) (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z)) #s(literal 2 binary64)) (fma.f64 (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y))) #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(fma.f64 (cbrt.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z)) (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y))) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z)) (fma.f64 (neg.f64 x) (-.f64 #s(literal -1/2 binary64) y) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z)) (fma.f64 (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y))) #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y))) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))) z)
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y))))
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y))))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z)) (sqrt.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z)) (fma.f64 (neg.f64 x) (-.f64 #s(literal -1/2 binary64) y) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(fma.f64 (sqrt.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z)) (sqrt.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z)) (fma.f64 (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y))) #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(fma.f64 (sqrt.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z)) (sqrt.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y))) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y))) (neg.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y))))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y))) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)) (fma.f64 x (-.f64 #s(literal -1/2 binary64) y) z) (pow.f64 z #s(literal 2 binary64)))) (fma.f64 (neg.f64 x) (-.f64 #s(literal -1/2 binary64) y) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)) (fma.f64 x (-.f64 #s(literal -1/2 binary64) y) z) (pow.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y))) #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)) (fma.f64 x (-.f64 #s(literal -1/2 binary64) y) z) (pow.f64 z #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y))) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(fma.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal -1/2 binary64) y) z)) (fma.f64 (neg.f64 x) (-.f64 #s(literal -1/2 binary64) y) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(fma.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal -1/2 binary64) y) z)) (fma.f64 (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y))) #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(fma.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal -1/2 binary64) y) z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y))) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(fma.f64 (neg.f64 x) (-.f64 #s(literal -1/2 binary64) y) z)
(fma.f64 (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) x z)
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))) (sqrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y))) z)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)))) (cbrt.f64 (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y))))) (cbrt.f64 (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)))) z)
(fma.f64 (sqrt.f64 (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)))) (sqrt.f64 (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)))) z)
(fma.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal -1/2 binary64) y)) z)
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))) (fma.f64 (neg.f64 x) (-.f64 #s(literal -1/2 binary64) y) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))) (fma.f64 (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y))) #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y))) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y))) z)
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal -1/2 binary64) y) z)
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 #s(literal -1/2 binary64) y)) z)
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 (-.f64 #s(literal -1/2 binary64) y))) (sqrt.f64 (-.f64 #s(literal -1/2 binary64) y)) z)

simplify133.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
712×times-frac
308×associate-+l+
305×distribute-lft-neg-in
295×cancel-sign-sub-inv
270×fmm-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05159003
112717589
236197547
Stop Event
1×node limit
Counts
276 → 263
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(*.f64 #s(literal -1/2 binary64) x)
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
#s(literal -1/2 binary64)
(-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64))
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(-.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) y))))
(-.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) y))))
(-.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) y))))
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)))
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z)) #s(literal 1 binary64))))
z
(+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(+.f64 z (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 (/.f64 z x) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) y))))
(*.f64 x (-.f64 (/.f64 z x) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) y))))
(*.f64 x (-.f64 (/.f64 z x) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) y))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (+.f64 #s(literal 1/2 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (+.f64 #s(literal 1/2 binary64) y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) (+.f64 #s(literal 1/2 binary64) y))))
(-.f64 z (*.f64 #s(literal -1/2 binary64) x))
(-.f64 (+.f64 z (*.f64 x y)) (*.f64 #s(literal -1/2 binary64) x))
(-.f64 (+.f64 z (*.f64 x y)) (*.f64 #s(literal -1/2 binary64) x))
(-.f64 (+.f64 z (*.f64 x y)) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 x y)
(*.f64 y (-.f64 (/.f64 z y) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(*.f64 y (-.f64 (/.f64 z y) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(*.f64 y (-.f64 (/.f64 z y) (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(*.f64 x y)
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(fma.f64 z #s(literal 1 binary64) (*.f64 (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y))) #s(literal 1 binary64)))
(fma.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z) #s(literal 1 binary64) (fma.f64 (neg.f64 x) (-.f64 #s(literal -1/2 binary64) y) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(fma.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z) #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y))) #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(fma.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y))) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(fma.f64 #s(literal 1 binary64) z (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y))))
(fma.f64 #s(literal 1 binary64) z (*.f64 (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z) (fma.f64 (neg.f64 x) (-.f64 #s(literal -1/2 binary64) y) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z) (fma.f64 (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y))) #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y))) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y))) z)
(fma.f64 (cbrt.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z)) (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (-.f64 #s(literal -1/2 binary64) y) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(fma.f64 (cbrt.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z)) (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z)) #s(literal 2 binary64)) (fma.f64 (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y))) #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(fma.f64 (cbrt.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z)) (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y))) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z)) (fma.f64 (neg.f64 x) (-.f64 #s(literal -1/2 binary64) y) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z)) (fma.f64 (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y))) #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y))) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))) z)
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y))))
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y))))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z)) (sqrt.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z)) (fma.f64 (neg.f64 x) (-.f64 #s(literal -1/2 binary64) y) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(fma.f64 (sqrt.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z)) (sqrt.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z)) (fma.f64 (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y))) #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(fma.f64 (sqrt.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z)) (sqrt.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y))) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y))) (neg.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y))))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y))) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)) (fma.f64 x (-.f64 #s(literal -1/2 binary64) y) z) (pow.f64 z #s(literal 2 binary64)))) (fma.f64 (neg.f64 x) (-.f64 #s(literal -1/2 binary64) y) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)) (fma.f64 x (-.f64 #s(literal -1/2 binary64) y) z) (pow.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y))) #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)) (fma.f64 x (-.f64 #s(literal -1/2 binary64) y) z) (pow.f64 z #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y))) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(fma.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal -1/2 binary64) y) z)) (fma.f64 (neg.f64 x) (-.f64 #s(literal -1/2 binary64) y) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(fma.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal -1/2 binary64) y) z)) (fma.f64 (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y))) #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(fma.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal -1/2 binary64) y) z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y))) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(fma.f64 (neg.f64 x) (-.f64 #s(literal -1/2 binary64) y) z)
(fma.f64 (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) x z)
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))) (sqrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y))) z)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)))) (cbrt.f64 (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y))))) (cbrt.f64 (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)))) z)
(fma.f64 (sqrt.f64 (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)))) (sqrt.f64 (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)))) z)
(fma.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal -1/2 binary64) y)) z)
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))) (fma.f64 (neg.f64 x) (-.f64 #s(literal -1/2 binary64) y) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))) (fma.f64 (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y))) #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y))) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y))) z)
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal -1/2 binary64) y) z)
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 #s(literal -1/2 binary64) y)) z)
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 (-.f64 #s(literal -1/2 binary64) y))) (sqrt.f64 (-.f64 #s(literal -1/2 binary64) y)) z)
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(*.f64 (neg.f64 x) (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(*.f64 (neg.f64 x) (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(*.f64 (neg.f64 x) (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(*.f64 (neg.f64 x) (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(*.f64 (neg.f64 x) (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(*.f64 (neg.f64 x) (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(*.f64 (neg.f64 x) (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(*.f64 (neg.f64 x) (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(*.f64 (neg.f64 x) (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(*.f64 (neg.f64 x) (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(*.f64 (neg.f64 x) (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)))
(*.f64 (neg.f64 x) (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 x #s(literal -1/2 binary64))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 (neg.f64 x) (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 #s(literal -1/2 binary64) y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 (neg.f64 x) (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 #s(literal -1/2 binary64) y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 (neg.f64 x) (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))
(*.f64 y (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))
(*.f64 y (-.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)) x))
(*.f64 y (*.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64))))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))
(*.f64 y (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))
(*.f64 y (-.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)) x))
(*.f64 y (*.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64))))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))
(*.f64 y (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))
(*.f64 y (-.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)) x))
(*.f64 y (*.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
(*.f64 y (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))
(*.f64 y (-.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)) x))
(*.f64 y (*.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
(*.f64 y (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))
(*.f64 y (-.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)) x))
(*.f64 y (*.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
(*.f64 y (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))
(*.f64 y (-.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)) x))
(*.f64 y (*.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64))))
#s(literal -1/2 binary64)
(-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64))
(-.f64 #s(literal -1/2 binary64) y)
(-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64))
(-.f64 #s(literal -1/2 binary64) y)
(-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64))
(-.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
(-.f64 #s(literal -1/2 binary64) y)
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(fma.f64 (cbrt.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z)) (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z)) #s(literal 2 binary64)) (fma.f64 (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y))) #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(-.f64 z (*.f64 (neg.f64 x) (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(fma.f64 (cbrt.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z)) (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y))) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(-.f64 z (*.f64 (neg.f64 x) (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z)) (fma.f64 (neg.f64 x) (-.f64 #s(literal -1/2 binary64) y) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(-.f64 z (*.f64 (neg.f64 x) (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z)) (fma.f64 (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y))) #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(-.f64 z (*.f64 (neg.f64 x) (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y))) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(-.f64 z (*.f64 (neg.f64 x) (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))) z)
(-.f64 z (*.f64 (neg.f64 x) (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y))))
(-.f64 z (*.f64 (neg.f64 x) (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y))) #s(literal 1 binary64)))
(-.f64 z (*.f64 (neg.f64 x) (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y))))
(-.f64 z (*.f64 (neg.f64 x) (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y))) #s(literal 1 binary64)))
(-.f64 z (*.f64 (neg.f64 x) (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(fma.f64 (sqrt.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z)) (sqrt.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z)) (fma.f64 (neg.f64 x) (-.f64 #s(literal -1/2 binary64) y) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(-.f64 z (*.f64 (neg.f64 x) (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(fma.f64 (sqrt.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z)) (sqrt.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z)) (fma.f64 (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y))) #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(-.f64 z (*.f64 (neg.f64 x) (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(fma.f64 (sqrt.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z)) (sqrt.f64 (fma.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y))) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(-.f64 z (*.f64 (neg.f64 x) (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y))) (neg.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))) z)
(-.f64 z (*.f64 (neg.f64 x) (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y))))
(-.f64 z (*.f64 (neg.f64 x) (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y))) #s(literal 1 binary64)))
(-.f64 z (*.f64 (neg.f64 x) (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)) (fma.f64 x (-.f64 #s(literal -1/2 binary64) y) z) (pow.f64 z #s(literal 2 binary64)))) (fma.f64 (neg.f64 x) (-.f64 #s(literal -1/2 binary64) y) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)) (fma.f64 x (-.f64 #s(literal -1/2 binary64) y) z) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)) (fma.f64 x (-.f64 #s(literal -1/2 binary64) y) z) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)) (fma.f64 x (-.f64 #s(literal -1/2 binary64) y) z) (pow.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y))) #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)) (fma.f64 x (-.f64 #s(literal -1/2 binary64) y) z) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)) (fma.f64 x (-.f64 #s(literal -1/2 binary64) y) z) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)) (fma.f64 x (-.f64 #s(literal -1/2 binary64) y) z) (pow.f64 z #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y))) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)) (fma.f64 x (-.f64 #s(literal -1/2 binary64) y) z) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)) (fma.f64 x (-.f64 #s(literal -1/2 binary64) y) z) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal -1/2 binary64) y) z)) (fma.f64 (neg.f64 x) (-.f64 #s(literal -1/2 binary64) y) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal -1/2 binary64) y) z)))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64))) (fma.f64 x (-.f64 #s(literal -1/2 binary64) y) z))
(fma.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal -1/2 binary64) y) z)) (fma.f64 (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y))) #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal -1/2 binary64) y) z)))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64))) (fma.f64 x (-.f64 #s(literal -1/2 binary64) y) z))
(fma.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal -1/2 binary64) y) z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y))) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal -1/2 binary64) y) z)))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64))) (fma.f64 x (-.f64 #s(literal -1/2 binary64) y) z))
(fma.f64 (neg.f64 x) (-.f64 #s(literal -1/2 binary64) y) z)
(-.f64 z (*.f64 (neg.f64 x) (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(fma.f64 (neg.f64 (-.f64 #s(literal -1/2 binary64) y)) x z)
(-.f64 z (*.f64 (neg.f64 x) (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))) (sqrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y))) z)
(-.f64 z (*.f64 (neg.f64 x) (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)))) (cbrt.f64 (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y))))) (cbrt.f64 (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)))) z)
(-.f64 z (*.f64 (neg.f64 x) (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(fma.f64 (sqrt.f64 (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)))) (sqrt.f64 (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y)))) z)
(-.f64 z (*.f64 (neg.f64 x) (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(fma.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal -1/2 binary64) y)) z)
(-.f64 z (*.f64 (neg.f64 x) (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))) (fma.f64 (neg.f64 x) (-.f64 #s(literal -1/2 binary64) y) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(-.f64 z (*.f64 (neg.f64 x) (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))) (fma.f64 (*.f64 x (neg.f64 (-.f64 #s(literal -1/2 binary64) y))) #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(-.f64 z (*.f64 (neg.f64 x) (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y))) #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal -1/2 binary64) y))))
(-.f64 z (*.f64 (neg.f64 x) (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) y))) z)
(-.f64 z (*.f64 (neg.f64 x) (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal -1/2 binary64) y) z)
(-.f64 z (*.f64 (neg.f64 x) (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 (-.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 #s(literal -1/2 binary64) y)) z)
(-.f64 z (*.f64 (neg.f64 x) (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 (-.f64 #s(literal -1/2 binary64) y))) (sqrt.f64 (-.f64 #s(literal -1/2 binary64) y)) z)
(-.f64 z (*.f64 (neg.f64 x) (+.f64 #s(literal 1/2 binary64) y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)

eval34.0ms (0.8%)

Compiler

Compiled 4 993 to 714 computations (85.7% saved)

prune39.0ms (0.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2585263
Fresh000
Picked011
Done000
Total2586264
Accuracy
100.0%
Counts
264 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 z (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))
▶68.2%
(-.f64 z (*.f64 x (neg.f64 y)))
▶66.4%
(-.f64 z (*.f64 x #s(literal -1/2 binary64)))
▶64.2%
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
▶34.0%
(*.f64 x y)
▶36.1%
z
Compiler

Compiled 80 to 57 computations (28.8% saved)

simplify36.0ms (0.9%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff-6272
(-.f64 z (*.f64 x #s(literal -1/2 binary64)))
✓cost-diff0
(*.f64 x #s(literal -1/2 binary64))
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) y)
✓cost-diff0
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
✓cost-diff0
(*.f64 x y)
✓cost-diff-6208
(-.f64 z (*.f64 x (neg.f64 y)))
✓cost-diff0
(neg.f64 y)
✓cost-diff0
(*.f64 x (neg.f64 y))
Rules
181×fma-define
164×fmm-def
36×distribute-lft-neg-in
36×cancel-sign-sub-inv
24×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
020164
144160
276152
3191152
4386152
5580152
6735152
7797152
8825152
9829152
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 z (*.f64 x (neg.f64 y)))
z
(*.f64 x (neg.f64 y))
x
(neg.f64 y)
y
z
(*.f64 x y)
x
y
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
x
(+.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(-.f64 z (*.f64 x #s(literal -1/2 binary64)))
z
(*.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
Outputs
(-.f64 z (*.f64 x (neg.f64 y)))
(+.f64 z (*.f64 x y))
(fma.f64 x y z)
z
(*.f64 x (neg.f64 y))
x
(neg.f64 y)
y
z
(*.f64 x y)
x
y
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 y #s(literal 1/2 binary64)))
x
(+.f64 #s(literal 1/2 binary64) y)
(+.f64 y #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
y
(-.f64 z (*.f64 x #s(literal -1/2 binary64)))
(+.f64 z (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) z)
z
(*.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)

localize38.0ms (0.9%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 z (*.f64 x #s(literal -1/2 binary64)))
✓accuracy100.0%
(*.f64 x #s(literal -1/2 binary64))
✓accuracy100.0%
(+.f64 #s(literal 1/2 binary64) y)
✓accuracy100.0%
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
✓accuracy100.0%
(*.f64 x y)
✓accuracy100.0%
(*.f64 x (neg.f64 y))
✓accuracy100.0%
(neg.f64 y)
✓accuracy100.0%
(-.f64 z (*.f64 x (neg.f64 y)))
Samples
25.0ms256×0valid
Compiler

Compiled 45 to 15 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 9.0ms (62.9% of total)
ival-sub: 2.0ms (14% of total)
ival-add: 1.0ms (7% of total)
ival-neg: 1.0ms (7% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series14.0ms (0.3%)

Counts
8 → 129
Calls
Call 1
Inputs
#<alt (*.f64 x (neg.f64 y))>
#<alt (neg.f64 y)>
#<alt (-.f64 z (*.f64 x (neg.f64 y)))>
#<alt (*.f64 x y)>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) y))>
#<alt (+.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 x #s(literal -1/2 binary64))>
#<alt (-.f64 z (*.f64 x #s(literal -1/2 binary64)))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 x y)>
#<alt (-.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (-.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt (-.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x y)))>
#<alt z>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))>
#<alt z>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))>
#<alt z>
#<alt (+.f64 z (*.f64 x y))>
#<alt (+.f64 z (*.f64 x y))>
#<alt (+.f64 z (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 x (-.f64 (/.f64 z x) (*.f64 #s(literal -1 binary64) y)))>
#<alt (*.f64 x (-.f64 (/.f64 z x) (*.f64 #s(literal -1 binary64) y)))>
#<alt (*.f64 x (-.f64 (/.f64 z x) (*.f64 #s(literal -1 binary64) y)))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) y)))>
#<alt z>
#<alt (+.f64 z (*.f64 x y))>
#<alt (+.f64 z (*.f64 x y))>
#<alt (+.f64 z (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (-.f64 (/.f64 z y) (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 y (-.f64 (/.f64 z y) (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 y (-.f64 (/.f64 z y) (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (*.f64 y (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))>
#<alt #s(literal 1/2 binary64)>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<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 1/2 binary64) x)>
#<alt (-.f64 z (*.f64 #s(literal -1/2 binary64) x))>
#<alt (-.f64 z (*.f64 #s(literal -1/2 binary64) x))>
#<alt (-.f64 z (*.f64 #s(literal -1/2 binary64) x))>
#<alt z>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))>
#<alt z>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) #s(literal 1 binary64))))>
#<alt z>
#<alt (+.f64 z (*.f64 #s(literal 1/2 binary64) x))>
#<alt (+.f64 z (*.f64 #s(literal 1/2 binary64) x))>
#<alt (+.f64 z (*.f64 #s(literal 1/2 binary64) x))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 z x)))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1/2 binary64))))>
Calls

42 calls:

TimeVariablePointExpression
4.0ms
y
@inf
(* x (neg y))
1.0ms
x
@inf
(* x -1/2)
1.0ms
x
@0
(* x (neg y))
1.0ms
y
@0
(* x (neg y))
0.0ms
z
@0
(- z (* x (neg y)))

rewrite168.0ms (4.1%)

Algorithm
1×batch-egg-rewrite
Rules
776×log1p-expm1-u
776×expm1-log1p-u
444×fma-define
215×fmm-def
200×expm1-undefine
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
020126
1276110
24102102
Stop Event
1×node limit
Counts
8 → 349
Calls
Call 1
Inputs
(*.f64 x (neg.f64 y))
(neg.f64 y)
(-.f64 z (*.f64 x (neg.f64 y)))
(*.f64 x y)
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(+.f64 #s(literal 1/2 binary64) y)
(*.f64 x #s(literal -1/2 binary64))
(-.f64 z (*.f64 x #s(literal -1/2 binary64)))
Outputs
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(-.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))
(neg.f64 (*.f64 x y))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x y) #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 #s(literal 0 binary64) y)
(-.f64 #s(literal 0 binary64) y)
(-.f64 (exp.f64 (log1p.f64 y)) #s(literal 1 binary64))
(*.f64 y #s(literal 1 binary64))
(*.f64 y #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) y)
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)))
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64))) y)
(pow.f64 y #s(literal 1 binary64))
(pow.f64 (cbrt.f64 y) #s(literal 3 binary64))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 y #s(literal 2 binary64)))
(log.f64 (exp.f64 y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)))
(cbrt.f64 (pow.f64 y #s(literal 3 binary64)))
y
(expm1.f64 (log1p.f64 y))
(log1p.f64 (expm1.f64 y))
(exp.f64 (log.f64 y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))
(+.f64 z (*.f64 x y))
(+.f64 (fma.f64 x y z) (fma.f64 y x (*.f64 x y)))
(+.f64 (fma.f64 x y z) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(+.f64 (*.f64 x y) z)
(*.f64 (fma.f64 x y z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x y z))
(*.f64 (cbrt.f64 (fma.f64 x y z)) (cbrt.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 x y z)))
(*.f64 (sqrt.f64 (fma.f64 x y z)) (sqrt.f64 (fma.f64 x y z)))
(*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (fma.f64 x y z) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))
(*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x y) (fma.f64 x y z) (pow.f64 z #s(literal 2 binary64))) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y z) (pow.f64 (fma.f64 x y z) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (*.f64 x y) (fma.f64 x y z) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)) (fma.f64 x y z))
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x y) (fma.f64 x y z) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64))) (neg.f64 (fma.f64 x y z)))
(pow.f64 (fma.f64 x y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x y z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y z))))
(cbrt.f64 (pow.f64 (fma.f64 x y z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x y z)))
(hypot.f64 z (*.f64 x y))
(log1p.f64 (expm1.f64 (fma.f64 x y z)))
(exp.f64 (log.f64 (fma.f64 x y z)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y z)) #s(literal 1 binary64)))
(fma.f64 x y z)
(fma.f64 y x z)
(fma.f64 y (neg.f64 x) z)
(fma.f64 z #s(literal 1 binary64) (*.f64 x y))
(fma.f64 (fma.f64 x y z) #s(literal 1 binary64) (fma.f64 y x (*.f64 x y)))
(fma.f64 (fma.f64 x y z) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) z)
(fma.f64 #s(literal 1 binary64) z (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (fma.f64 x y z) (fma.f64 y x (*.f64 x y)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x y z) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (*.f64 x y)))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) z)
(fma.f64 (cbrt.f64 (fma.f64 x y z)) (cbrt.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64))) (fma.f64 y x (*.f64 x y)))
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(log.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal -1/2 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 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 z (*.f64 x #s(literal 1/2 binary64)))
(+.f64 z (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (fma.f64 x #s(literal 1/2 binary64) z) (fma.f64 #s(literal 1/2 binary64) x (*.f64 x #s(literal -1/2 binary64))))
(+.f64 (fma.f64 x #s(literal 1/2 binary64) z) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(+.f64 (fma.f64 x #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x #s(literal -1/2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
(*.f64 (fma.f64 x #s(literal 1/2 binary64) z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) z))
(*.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) z)) (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) z)))
(*.f64 (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) z)) (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) z)))
(*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (fma.f64 x #s(literal -1/2 binary64) z) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) z)))
(*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (fma.f64 x #s(literal -1/2 binary64) z) (pow.f64 z #s(literal 2 binary64))) (-.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -1/2 binary64) z) (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (fma.f64 x #s(literal -1/2 binary64) z) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (fma.f64 x #s(literal -1/2 binary64) z))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (fma.f64 x #s(literal -1/2 binary64) z) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (fma.f64 x #s(literal -1/2 binary64) z)))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 z z (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 z (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) (-.f64 z (*.f64 x #s(literal 1/2 binary64))))
(pow.f64 (fma.f64 x #s(literal 1/2 binary64) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x #s(literal 1/2 binary64) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x #s(literal 1/2 binary64) z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x #s(literal 1/2 binary64) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x #s(literal 1/2 binary64) z))))
(cbrt.f64 (pow.f64 (fma.f64 x #s(literal 1/2 binary64) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x #s(literal 1/2 binary64) z)))
(log1p.f64 (expm1.f64 (fma.f64 x #s(literal 1/2 binary64) z)))
(exp.f64 (log.f64 (fma.f64 x #s(literal 1/2 binary64) z)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x #s(literal 1/2 binary64) z)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/2 binary64) z)
(fma.f64 z #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 z #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) x z)
(fma.f64 #s(literal -1/2 binary64) (neg.f64 x) z)
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) z) #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) z) #s(literal 1 binary64) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) z) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x #s(literal -1/2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) z (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) z (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) z) (fma.f64 #s(literal 1/2 binary64) x (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) z) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) z) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x #s(literal -1/2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)) z)
(fma.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) z)) (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) z)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) z)) (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) z)) #s(literal 2 binary64)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) z)) (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) z)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x #s(literal -1/2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) x (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) z)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x #s(literal -1/2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (*.f64 x #s(literal -1/2 binary64)))) z)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) z)
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) z)) (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) x (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) z)) (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) z)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) z)) (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x #s(literal -1/2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal -1/2 binary64))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal -1/2 binary64)))) z)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (fma.f64 x #s(literal -1/2 binary64) z) (pow.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) x (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (fma.f64 x #s(literal -1/2 binary64) z) (pow.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (fma.f64 x #s(literal -1/2 binary64) z) (pow.f64 z #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x #s(literal -1/2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)) z)
(fma.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) x (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) z)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x #s(literal -1/2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) z)
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal -1/2 binary64)))) (sqrt.f64 (*.f64 x #s(literal -1/2 binary64))) z)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64)))) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) z)
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) z)
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) x (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x #s(literal -1/2 binary64)))) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x #s(literal -1/2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x #s(literal -1/2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x #s(literal -1/2 binary64))) z)
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) z)
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x) z)

simplify182.0ms (4.4%)

Algorithm
1×egg-herbie
Rules
372×distribute-lft-neg-in
351×distribute-rgt-neg-in
348×fmm-def
259×associate-+r+
240×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
061711625
1133610553
241599889
Stop Event
1×node limit
Counts
478 → 424
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 x y)
(-.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(-.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(-.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x y)))
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))
z
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 x y))
(*.f64 x y)
(*.f64 x (-.f64 (/.f64 z x) (*.f64 #s(literal -1 binary64) y)))
(*.f64 x (-.f64 (/.f64 z x) (*.f64 #s(literal -1 binary64) y)))
(*.f64 x (-.f64 (/.f64 z x) (*.f64 #s(literal -1 binary64) y)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) y)))
z
(+.f64 z (*.f64 x y))
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(fma.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) z)) (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) z)) #s(literal 2 binary64)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) z)) (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) z)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x #s(literal -1/2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) x (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) z)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x #s(literal 1/2 binary64) z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x #s(literal -1/2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (*.f64 x #s(literal -1/2 binary64)))) z)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1/2 binary64)) z)
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) z)) (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) x (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) z)) (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) z)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) z)) (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x #s(literal -1/2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal -1/2 binary64))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal -1/2 binary64)))) z)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (fma.f64 x #s(literal -1/2 binary64) z) (pow.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) x (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (fma.f64 x #s(literal -1/2 binary64) z) (pow.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (fma.f64 x #s(literal -1/2 binary64) z) (pow.f64 z #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x #s(literal -1/2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)) z)
(fma.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) x (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) z)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x #s(literal -1/2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) z)
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal -1/2 binary64)))) (sqrt.f64 (*.f64 x #s(literal -1/2 binary64))) z)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64)))) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) z)
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) z)
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) x (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x #s(literal -1/2 binary64)))) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x #s(literal -1/2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x #s(literal -1/2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x #s(literal -1/2 binary64))) z)
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) z)
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x) z)
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 x y)
(-.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(-.f64 z (*.f64 x (neg.f64 y)))
(fma.f64 x y z)
(-.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(-.f64 z (*.f64 x (neg.f64 y)))
(fma.f64 x y z)
(-.f64 z (*.f64 #s(literal -1 binary64) (*.f64 x y)))
(-.f64 z (*.f64 x (neg.f64 y)))
(fma.f64 x y z)
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) #s(literal 1 binary64)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) #s(literal 1 binary64)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) #s(literal 1 binary64)))
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y z))))
(*.f64 z (fma.f64 x (/.f64 y z) #s(literal 1 binary64)))
z
(+.f64 z (*.f64 x y))
(-.f64 z (*.f64 x (neg.f64 y)))
(fma.f64 x y z)
(+.f64 z (*.f64 x y))
(-.f64 z (*.f64 x (neg.f64 y)))
(fma.f64 x y z)
(+.f64 z (*.f64 x y))
(-.f64 z (*.f64 x (neg.f64 y)))
(fma.f64 x y z)
(*.f64 x y)
(*.f64 x (-.f64 (/.f64 z x) (*.f64 #s(literal -1 binary64) y)))
(*.f64 x (+.f64 (/.f64 z x) y))
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 x (-.f64 (/.f64 z x) (*.f64 #s(literal -1 binary64) y)))
(*.f64 x (+.f64 (/.f64 z x) y))
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 x (-.f64 (/.f64 z x) (*.f64 #s(literal -1 binary64) y)))
(*.f64 x (+.f64 (/.f64 z x) y))
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) y)))
(*.f64 x (+.f64 (/.f64 z x) y))
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) y)))
(*.f64 x (+.f64 (/.f64 z x) y))
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z x)) y)))
(*.f64 x (+.f64 (/.f64 z x) y))
(*.f64 x (+.f64 y (/.f64 z x)))
z
(+.f64 z (*.f64 x y))
(-.f64 z (*.f64 x (neg.f64 y)))
(fma.f64 x y z)
(+.f64 z (*.f64 x y))
(-.f64 z (*.f64 x (neg.f64 y)))
(fma.f64 x y z)
(+.f64 z (*.f64 x y))
(-.f64 z (*.f64 x (neg.f64 y)))
(fma.f64 x y z)
(*.f64 x y)
(*.f64 y (-.f64 (/.f64 z y) (*.f64 #s(literal -1 binary64) x)))
(*.f64 y (-.f64 (/.f64 z y) (neg.f64 x)))
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 y (-.f64 (/.f64 z y) (*.f64 #s(literal -1 binary64) x)))
(*.f64 y (-.f64 (/.f64 z y) (neg.f64 x)))
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 y (-.f64 (/.f64 z y) (*.f64 #s(literal -1 binary64) x)))
(*.f64 y (-.f64 (/.f64 z y) (neg.f64 x)))
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) x)))
(*.f64 y (-.f64 (/.f64 z y) (neg.f64 x)))
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) x)))
(*.f64 y (-.f64 (/.f64 z y) (neg.f64 x)))
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) x)))
(*.f64 y (-.f64 (/.f64 z y) (neg.f64 x)))
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x y))
(*.f64 x (+.f64 y #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x y))
(*.f64 x (+.f64 y #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x y))
(*.f64 x (+.f64 y #s(literal 1/2 binary64)))
(*.f64 x y)
(*.f64 y (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (+.f64 x (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) x))
(*.f64 y (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (+.f64 x (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) x))
(*.f64 y (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (+.f64 x (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) x))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 x (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 x (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) x))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 x (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) x))
#s(literal 1/2 binary64)
y
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(+.f64 y #s(literal 1/2 binary64))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(+.f64 y #s(literal 1/2 binary64))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(+.f64 y #s(literal 1/2 binary64))
y
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))
(+.f64 y #s(literal 1/2 binary64))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))
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(fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (fma.f64 x #s(literal -1/2 binary64) z) (pow.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) x (*.f64 x #s(literal -1/2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (fma.f64 x #s(literal -1/2 binary64) z) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (fma.f64 x #s(literal -1/2 binary64) z) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (fma.f64 x #s(literal -1/2 binary64) z) (pow.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (fma.f64 x #s(literal -1/2 binary64) z) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (fma.f64 x #s(literal -1/2 binary64) z) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (fma.f64 x #s(literal -1/2 binary64) z) (pow.f64 z #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x #s(literal -1/2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (fma.f64 x #s(literal -1/2 binary64) z) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (fma.f64 x #s(literal -1/2 binary64) z) (pow.f64 z #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)) z)
(fma.f64 x #s(literal 1/2 binary64) z)
(fma.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) x (*.f64 x #s(literal -1/2 binary64))))
(*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) z)))
(/.f64 (fma.f64 z z (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 x #s(literal -1/2 binary64) z))
(fma.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) z)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) z)))
(/.f64 (fma.f64 z z (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 x #s(literal -1/2 binary64) z))
(fma.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x #s(literal -1/2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) z)))
(/.f64 (fma.f64 z z (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 x #s(literal -1/2 binary64) z))
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) z)
(fma.f64 x #s(literal 1/2 binary64) z)
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal -1/2 binary64)))) (sqrt.f64 (*.f64 x #s(literal -1/2 binary64))) z)
(fma.f64 x #s(literal 1/2 binary64) z)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64)))) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) z)
(fma.f64 x #s(literal 1/2 binary64) z)
(fma.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) z)
(fma.f64 x #s(literal 1/2 binary64) z)
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) x (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 x #s(literal 1/2 binary64) z)
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x #s(literal -1/2 binary64)))) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 x #s(literal 1/2 binary64) z)
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x #s(literal -1/2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x #s(literal -1/2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 x #s(literal 1/2 binary64) z)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x #s(literal -1/2 binary64))) z)
(fma.f64 x #s(literal 1/2 binary64) z)
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) z)
(fma.f64 x #s(literal 1/2 binary64) z)
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x) z)
(fma.f64 x #s(literal 1/2 binary64) z)

eval58.0ms (1.4%)

Compiler

Compiled 4 948 to 868 computations (82.5% saved)

prune59.0ms (1.4%)

Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New4222424
Fresh000
Picked145
Done011
Total4237430
Accuracy
100.0%
Counts
430 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 z (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))
✓66.4%
(-.f64 z (*.f64 x #s(literal -1/2 binary64)))
▶68.2%
(+.f64 (*.f64 x y) z)
✓64.2%
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
✓34.0%
(*.f64 x y)
▶32.1%
(*.f64 x #s(literal 1/2 binary64))
✓36.1%
z
Compiler

Compiled 50 to 36 computations (28% saved)

simplify7.0ms (0.2%)

Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓cost-diff-6272
(+.f64 (*.f64 x y) z)
✓cost-diff0
(*.f64 x y)
✓cost-diff0
(*.f64 x #s(literal 1/2 binary64))
Rules
2×*-commutative
2×fma-define
1×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01358
11858
21958
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(+.f64 (*.f64 x y) z)
(*.f64 x y)
x
y
z
Outputs
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(+.f64 (*.f64 x y) z)
(fma.f64 x y z)
(*.f64 x y)
x
y
z

localize19.0ms (0.5%)

Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x y)
✓accuracy100.0%
(+.f64 (*.f64 x y) z)
✓accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
Samples
12.0ms256×0valid
Compiler

Compiled 18 to 9 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 4.0ms (77.7% of total)
ival-add: 1.0ms (19.4% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Counts
3 → 48
Calls
Call 1
Inputs
#<alt (*.f64 x #s(literal 1/2 binary64))>
#<alt (*.f64 x y)>
#<alt (+.f64 (*.f64 x y) z)>
Outputs
#<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 z>
#<alt (+.f64 z (*.f64 x y))>
#<alt (+.f64 z (*.f64 x y))>
#<alt (+.f64 z (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 x (+.f64 y (/.f64 z x)))>
#<alt (*.f64 x (+.f64 y (/.f64 z x)))>
#<alt (*.f64 x (+.f64 y (/.f64 z x)))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))>
#<alt z>
#<alt (+.f64 z (*.f64 x y))>
#<alt (+.f64 z (*.f64 x y))>
#<alt (+.f64 z (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt (*.f64 y (+.f64 x (/.f64 z y)))>
#<alt (*.f64 y (+.f64 x (/.f64 z y)))>
#<alt (*.f64 y (+.f64 x (/.f64 z y)))>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))>
#<alt (*.f64 x y)>
#<alt (+.f64 z (*.f64 x y))>
#<alt (+.f64 z (*.f64 x y))>
#<alt (+.f64 z (*.f64 x y))>
#<alt z>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))>
#<alt (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))>
#<alt z>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))>
Calls

18 calls:

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

rewrite91.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
811×prod-diff
652×log1p-expm1-u
652×expm1-log1p-u
609×unpow-prod-down
344×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01341
113941
2177841
Stop Event
1×node limit
Counts
3 → 115
Calls
Call 1
Inputs
(*.f64 x #s(literal 1/2 binary64))
(*.f64 x y)
(+.f64 (*.f64 x y) z)
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) x)) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(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 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/2 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 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)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y)) (cbrt.f64 (pow.f64 (exp.f64 x) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))))
(-.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)))
(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)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y z))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x y) z)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 x y) z)))
(*.f64 (fma.f64 x y z) #s(literal 1 binary64))
(*.f64 (fma.f64 x y z) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x y z))
(*.f64 (cbrt.f64 (fma.f64 x y z)) (pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 x y z)) (pow.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x y z)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x y z))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 x y z)) (sqrt.f64 (fma.f64 x y z)))
(*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) z)))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) z)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 x y z))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y z))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x y z))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x y z))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y z))) (cbrt.f64 (cbrt.f64 (fma.f64 x y z)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y z))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x y z))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x y z))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (fma.f64 x y z)))
(*.f64 (pow.f64 (*.f64 (fma.f64 x y z) (sqrt.f64 (fma.f64 x y z))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (fma.f64 x y z) (sqrt.f64 (fma.f64 x y z))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x y z) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x y z) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 x y z))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 x y z)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x y z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x y z))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x y z))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x y) z) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (-.f64 z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x (*.f64 y z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 x y) z))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (-.f64 z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x y) z)))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 z (*.f64 x y)))
(pow.f64 (fma.f64 x y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x y z)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 z (-.f64 z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 x y) z) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y z))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) y) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (exp.f64 z)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(log.f64 (*.f64 (exp.f64 z) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (pow.f64 (exp.f64 x) y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(cbrt.f64 (pow.f64 (fma.f64 x y z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x y z)))
(log1p.f64 (expm1.f64 (fma.f64 x y z)))
(exp.f64 (log.f64 (fma.f64 x y z)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x y z))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 x y z))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x y z))) #s(literal 2 binary64)))
(fma.f64 x y z)
(fma.f64 y x z)
(fma.f64 (*.f64 x y) #s(literal 1 binary64) z)
(fma.f64 z #s(literal 1 binary64) (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) z)
(fma.f64 #s(literal 1 binary64) z (*.f64 x y))
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) z)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) z)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) z)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) z)
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) z)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) z)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x y))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) z)
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) z)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) z)
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) z)

simplify119.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
570×fma-define
512×unswap-sqr
376×times-frac
254×distribute-lft-in
249×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03113404
16503362
216883329
360923302
Stop Event
1×node limit
Counts
163 → 138
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
z
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 x y))
(*.f64 x y)
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
z
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 x y))
(*.f64 x y)
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
(*.f64 x y)
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 x y))
(+.f64 z (*.f64 x y))
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) x)) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(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 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/2 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 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)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y)) (cbrt.f64 (pow.f64 (exp.f64 x) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))))
(-.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)))
(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)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y z))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x y) z)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 x y) z)))
(*.f64 (fma.f64 x y z) #s(literal 1 binary64))
(*.f64 (fma.f64 x y z) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x y z))
(*.f64 (cbrt.f64 (fma.f64 x y z)) (pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 x y z)) (pow.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x y z)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x y z))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 x y z)) (sqrt.f64 (fma.f64 x y z)))
(*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) z)))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) z)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 x y z))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y z))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x y z))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x y z))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y z))) (cbrt.f64 (cbrt.f64 (fma.f64 x y z)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y z))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x y z))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x y z))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (fma.f64 x y z)))
(*.f64 (pow.f64 (*.f64 (fma.f64 x y z) (sqrt.f64 (fma.f64 x y z))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (fma.f64 x y z) (sqrt.f64 (fma.f64 x y z))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x y z) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x y z) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 x y z))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 x y z)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x y z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x y z))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x y z))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x y) z) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (-.f64 z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x (*.f64 y z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 x y) z))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (-.f64 z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x y) z)))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 z (*.f64 x y)))
(pow.f64 (fma.f64 x y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x y z)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 z (-.f64 z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 x y) z) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y z))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) y) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (exp.f64 z)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(log.f64 (*.f64 (exp.f64 z) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (pow.f64 (exp.f64 x) y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(cbrt.f64 (pow.f64 (fma.f64 x y z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x y z)))
(log1p.f64 (expm1.f64 (fma.f64 x y z)))
(exp.f64 (log.f64 (fma.f64 x y z)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x y z))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 x y z))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x y z))) #s(literal 2 binary64)))
(fma.f64 x y z)
(fma.f64 y x z)
(fma.f64 (*.f64 x y) #s(literal 1 binary64) z)
(fma.f64 z #s(literal 1 binary64) (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) z)
(fma.f64 #s(literal 1 binary64) z (*.f64 x y))
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) z)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) z)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) z)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) z)
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) z)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) z)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x y))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) z)
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) z)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) z)
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) z)
Outputs
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
z
(+.f64 z (*.f64 x y))
(fma.f64 x y z)
(+.f64 z (*.f64 x y))
(fma.f64 x y z)
(+.f64 z (*.f64 x y))
(fma.f64 x y z)
(*.f64 x y)
(*.f64 x (+.f64 y (/.f64 z x)))
(fma.f64 x y z)
(*.f64 x (+.f64 y (/.f64 z x)))
(fma.f64 x y z)
(*.f64 x (+.f64 y (/.f64 z x)))
(fma.f64 x y z)
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(fma.f64 x y z)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(fma.f64 x y z)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(fma.f64 x y z)
z
(+.f64 z (*.f64 x y))
(fma.f64 x y z)
(+.f64 z (*.f64 x y))
(fma.f64 x y z)
(+.f64 z (*.f64 x y))
(fma.f64 x y z)
(*.f64 x y)
(*.f64 y (+.f64 x (/.f64 z y)))
(fma.f64 x y z)
(*.f64 y (+.f64 x (/.f64 z y)))
(fma.f64 x y z)
(*.f64 y (+.f64 x (/.f64 z y)))
(fma.f64 x y z)
(*.f64 x y)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
(fma.f64 x y z)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
(fma.f64 x y z)
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 z y)))))
(fma.f64 x y z)
(*.f64 x y)
(+.f64 z (*.f64 x y))
(fma.f64 x y z)
(+.f64 z (*.f64 x y))
(fma.f64 x y z)
(+.f64 z (*.f64 x y))
(fma.f64 x y z)
z
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(fma.f64 x y z)
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(fma.f64 x y z)
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(fma.f64 x y z)
z
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))
(fma.f64 x y z)
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))
(fma.f64 x y z)
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))))
(fma.f64 x y z)
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) x)) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (exp.f64 x))))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) x))))
(*.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) x))) #s(literal 2 binary64))
(*.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x)))) #s(literal 2 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 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))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) x))
(*.f64 #s(literal 1/2 binary64) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1/2 binary64) x)
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) x)
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) x)
(exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) x)
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(*.f64 x y)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y)) (cbrt.f64 (pow.f64 (exp.f64 x) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(*.f64 x y)
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 x y)
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(*.f64 x y)
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x y)
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(*.f64 x y)
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(*.f64 x y)
(log.f64 (pow.f64 (exp.f64 x) y))
(*.f64 x y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(*.f64 x y)
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(*.f64 x y)
(expm1.f64 (log1p.f64 (*.f64 x y)))
(*.f64 x y)
(log1p.f64 (expm1.f64 (*.f64 x y)))
(*.f64 x y)
(exp.f64 (log.f64 (*.f64 x y)))
(*.f64 x y)
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(*.f64 x y)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) #s(literal 3 binary64)))
(*.f64 x y)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x y))) #s(literal 1/3 binary64)))
(*.f64 x y)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64)))
(*.f64 x y)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y z))) #s(literal 1 binary64))
(fma.f64 x y z)
(-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x y) z)) (/.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 x y) z)))
(fma.f64 x y z)
(*.f64 (fma.f64 x y z) #s(literal 1 binary64))
(fma.f64 x y z)
(*.f64 (fma.f64 x y z) (log.f64 (exp.f64 #s(literal 1 binary64))))
(fma.f64 x y z)
(*.f64 #s(literal 1 binary64) (fma.f64 x y z))
(fma.f64 x y z)
(*.f64 (cbrt.f64 (fma.f64 x y z)) (pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 2 binary64)))
(fma.f64 x y z)
(*.f64 (cbrt.f64 (fma.f64 x y z)) (pow.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(fma.f64 x y z)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x y z)))
(fma.f64 x y z)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x y z))) #s(literal 2 binary64)))
(fma.f64 x y z)
(*.f64 (sqrt.f64 (fma.f64 x y z)) (sqrt.f64 (fma.f64 x y z)))
(fma.f64 x y z)
(*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (-.f64 z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) z) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (fma.f64 y (neg.f64 x) z) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (-.f64 z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) z) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (fma.f64 y (neg.f64 x) z) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) z)))
(fma.f64 x y z)
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) z)) #s(literal 1 binary64)))
(fma.f64 x y z)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 x y z))
(fma.f64 x y z)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y z))) #s(literal 3 binary64)))
(fma.f64 x y z)
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x y z))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x y z))) #s(literal 3 binary64)))
(fma.f64 x y z)
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y z))) (cbrt.f64 (cbrt.f64 (fma.f64 x y z)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y z))) #s(literal 3 binary64)))
(fma.f64 x y z)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x y z))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x y z))) #s(literal 3 binary64)))
(fma.f64 x y z)
(*.f64 (pow.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (fma.f64 x y z)))
(fma.f64 x y z)
(*.f64 (pow.f64 (*.f64 (fma.f64 x y z) (sqrt.f64 (fma.f64 x y z))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (fma.f64 x y z) (sqrt.f64 (fma.f64 x y z))) #s(literal 1/3 binary64)))
(fma.f64 x y z)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x y z) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x y z) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(fma.f64 x y z)
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y z))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 2 binary64)) (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y z))) (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 x y z)) (pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 7 binary64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y z))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 8 binary64))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 x y z))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 x y z)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x y z))) (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 x y z)))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x y z))) (cbrt.f64 (*.f64 (fma.f64 x y z) (pow.f64 (sqrt.f64 (fma.f64 x y z)) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x y z))) (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x y z)) #s(literal 5 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x y z))) #s(literal 2 binary64)))
(fma.f64 x y z)
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x y z))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x y z))) #s(literal 2 binary64)))
(fma.f64 x y z)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (-.f64 z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) z) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (fma.f64 y (neg.f64 x) z) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x y) z) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 x y z)
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (-.f64 z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) z) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (fma.f64 y (neg.f64 x) z) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x (*.f64 y z)))))
(*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (-.f64 z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) z) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (fma.f64 y (neg.f64 x) z) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 x y) z))
(fma.f64 x y z)
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (-.f64 z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (-.f64 z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) z) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (fma.f64 y (neg.f64 x) z) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x y) z)))
(fma.f64 x y z)
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 z (*.f64 x y)))
(fma.f64 x y z)
(pow.f64 (fma.f64 x y z) #s(literal 1 binary64))
(fma.f64 x y z)
(pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 3 binary64))
(fma.f64 x y z)
(pow.f64 (pow.f64 (fma.f64 x y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x y z)
(pow.f64 (sqrt.f64 (fma.f64 x y z)) #s(literal 2 binary64))
(fma.f64 x y z)
(pow.f64 (/.f64 (fma.f64 z (-.f64 z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (-.f64 z (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) z) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (fma.f64 y (neg.f64 x) z) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(pow.f64 (/.f64 (-.f64 (*.f64 x y) z) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64))
(fma.f64 x y z)
(sqrt.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)))
(fma.f64 x y z)
(log.f64 (exp.f64 (fma.f64 x y z)))
(fma.f64 x y z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y z))))
(fma.f64 x y z)
(log.f64 (*.f64 (pow.f64 (exp.f64 x) y) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(fma.f64 x y z)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (exp.f64 z)))
(fma.f64 x y z)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(fma.f64 x y z)
(log.f64 (*.f64 (exp.f64 z) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(fma.f64 x y z)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (pow.f64 (exp.f64 x) y)))
(fma.f64 x y z)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y)))))
(fma.f64 x y z)
(cbrt.f64 (pow.f64 (fma.f64 x y z) #s(literal 3 binary64)))
(fma.f64 x y z)
(expm1.f64 (log1p.f64 (fma.f64 x y z)))
(fma.f64 x y z)
(log1p.f64 (expm1.f64 (fma.f64 x y z)))
(fma.f64 x y z)
(exp.f64 (log.f64 (fma.f64 x y z)))
(fma.f64 x y z)
(exp.f64 (*.f64 (log.f64 (fma.f64 x y z)) #s(literal 1 binary64)))
(fma.f64 x y z)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x y z))) #s(literal 3 binary64)))
(fma.f64 x y z)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (fma.f64 x y z))) #s(literal 1/3 binary64)))
(fma.f64 x y z)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x y z))) #s(literal 2 binary64)))
(fma.f64 x y z)
(fma.f64 x y z)
(fma.f64 y x z)
(fma.f64 x y z)
(fma.f64 (*.f64 x y) #s(literal 1 binary64) z)
(fma.f64 x y z)
(fma.f64 z #s(literal 1 binary64) (*.f64 x y))
(fma.f64 x y z)
(fma.f64 #s(literal 1 binary64) (*.f64 x y) z)
(fma.f64 x y z)
(fma.f64 #s(literal 1 binary64) z (*.f64 x y))
(fma.f64 x y z)
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) z)
(fma.f64 x y z)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x y)) z)
(fma.f64 x y z)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) z)
(fma.f64 x y z)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) z)
(fma.f64 x y z)
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 x y z)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 x y))
(fma.f64 x y z)
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) z)
(fma.f64 x y z)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) z)
(fma.f64 x y z)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) z)
(fma.f64 x y z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x y))
(fma.f64 x y z)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) z)
(fma.f64 x y z)
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) z)
(fma.f64 x y z)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) z)
(fma.f64 x y z)
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) z)
(fma.f64 x y z)

eval19.0ms (0.4%)

Compiler

Compiled 1 565 to 363 computations (76.8% saved)

prune21.0ms (0.5%)

Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New1380138
Fresh000
Picked022
Done055
Total1387145
Accuracy
100.0%
Counts
145 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 z (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))
✓66.4%
(-.f64 z (*.f64 x #s(literal -1/2 binary64)))
✓68.2%
(+.f64 (*.f64 x y) z)
✓64.2%
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
✓34.0%
(*.f64 x y)
✓32.1%
(*.f64 x #s(literal 1/2 binary64))
✓36.1%
z
Compiler

Compiled 97 to 59 computations (39.2% saved)

regimes20.0ms (0.5%)

Counts
9 → 1
Calls
Call 1
Inputs
z
(*.f64 x #s(literal 1/2 binary64))
(*.f64 x y)
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(+.f64 (*.f64 x y) z)
(-.f64 z (*.f64 x #s(literal -1/2 binary64)))
(-.f64 z (*.f64 x (neg.f64 y)))
(-.f64 z (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
Outputs
(-.f64 z (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))
Calls

5 calls:

6.0ms
z
4.0ms
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
3.0ms
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
100.0%1(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes9.0ms (0.2%)

Counts
7 → 3
Calls
Call 1
Inputs
z
(*.f64 x #s(literal 1/2 binary64))
(*.f64 x y)
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(+.f64 (*.f64 x y) z)
(-.f64 z (*.f64 x #s(literal -1/2 binary64)))
(-.f64 z (*.f64 x (neg.f64 y)))
Outputs
(+.f64 (*.f64 x y) z)
(-.f64 z (*.f64 x #s(literal -1/2 binary64)))
(+.f64 (*.f64 x y) z)
Calls

3 calls:

3.0ms
z
3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
85.3%3x
97.9%3y
87.6%4z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0.2%)

Counts
5 → 3
Calls
Call 1
Inputs
z
(*.f64 x #s(literal 1/2 binary64))
(*.f64 x y)
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(+.f64 (*.f64 x y) z)
Outputs
(+.f64 (*.f64 x y) z)
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(+.f64 (*.f64 x y) z)
Calls

2 calls:

4.0ms
z
2.0ms
y
Results
AccuracySegmentsBranch
85.6%3z
79.2%3y
Compiler

Compiled 8 to 6 computations (25% saved)

regimes7.0ms (0.2%)

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

3 calls:

2.0ms
z
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
68.1%3y
78.4%3x
79.2%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.1%)

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

3 calls:

2.0ms
z
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
66.6%4y
57.5%4x
55.9%4z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.1%)

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

3 calls:

2.0ms
z
2.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
52.8%3z
53.0%3x
46.2%3y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
z
Outputs
z
Calls

3 calls:

2.0ms
x
1.0ms
z
1.0ms
y
Results
AccuracySegmentsBranch
36.1%1y
36.1%1z
36.1%1x
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch20.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
6.0ms
0.02557875954501422
0.08309653154795842
11.0ms
-0.5356535402362441
-2.4079047907377505e-8
Samples
11.0ms224×0valid
Compiler

Compiled 267 to 196 computations (26.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (35.7% of total)
ival-add: 2.0ms (35.7% of total)
ival-mult: 2.0ms (35.7% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch21.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
8.0ms
3.6571355386119207e-34
3.5694837475376084e-33
11.0ms
-9.354859517362103e+67
-2.3125627293165246e+64
Samples
12.0ms224×0valid
Compiler

Compiled 267 to 196 computations (26.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (35.8% of total)
ival-add: 2.0ms (35.8% of total)
ival-mult: 2.0ms (35.8% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch22.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
9.0ms
1.6379410382405763e+159
4.163432605719916e+159
11.0ms
-2.326533771030363e+158
-3.302650356367008e+151
Samples
13.0ms224×0valid
Compiler

Compiled 211 to 168 computations (20.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 4.0ms (48.9% of total)
ival-add: 2.0ms (24.5% of total)
ival-mult: 2.0ms (24.5% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch24.0ms (0.6%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
6.0ms
0.02557875954501422
0.08309653154795842
4.0ms
-2.264249456983691e-65
-1.826125925939081e-65
10.0ms
-4.3962259809483066e+72
-6.34799989160154e+69
Samples
12.0ms256×0valid
Compiler

Compiled 217 to 171 computations (21.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (31.4% of total)
ival-add: 2.0ms (31.4% of total)
ival-mult: 2.0ms (31.4% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch18.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
9.0ms
2.6948755371734876e+43
2.4440080465686234e+45
8.0ms
-2.2914448492821093e-91
-3.698294130487841e-92
Samples
10.0ms208×0valid
Compiler

Compiled 171 to 144 computations (15.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (38.8% of total)
ival-add: 2.0ms (38.8% of total)
ival-mult: 2.0ms (38.8% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify34.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
104×unsub-neg
62×neg-mul-1
61×distribute-lft-neg-in
29×neg-sub0
26×distribute-rgt-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054348
187348
2110348
3125348
4146348
5173348
6195348
7255348
8373348
9461348
10478348
11504348
12530348
13550348
14574348
15578348
16585348
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 z (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))
(if (<=.f64 y #s(literal -1/2 binary64)) (+.f64 (*.f64 x y) z) (if (<=.f64 y #s(literal 5764607523034235/72057594037927936 binary64)) (-.f64 z (*.f64 x #s(literal -1/2 binary64))) (+.f64 (*.f64 x y) z)))
(if (<=.f64 z #s(literal -1500000000000000011519605591548954453600299148873985144978445172736 binary64)) (+.f64 (*.f64 x y) z) (if (<=.f64 z #s(literal 1973027210396719/1461501637330902918203684832716283019655932542976 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) (+.f64 (*.f64 x y) z)))
(if (<=.f64 z #s(literal -3499999999999999906031553804593356116680939157249948004734346490108582162297737670733390279961050868800388334522364093293771313727380830278036547046473728 binary64)) z (if (<=.f64 z #s(literal 1720000000000000001863615670569372983629750760228939027127406833834614573210696277635662835258788269799492595681718321573844226871329618534919815330010528481280 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z))
(if (<=.f64 y #s(literal -6399999999999999697953422408842675628240082646583148705946983903264768 binary64)) (*.f64 x y) (if (<=.f64 y #s(literal -2667849736027765/118571099379011784113736688648896417641748464297615937576404566024103044751294464 binary64)) z (if (<=.f64 y #s(literal 5764607523034235/72057594037927936 binary64)) (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y))))
(if (<=.f64 x #s(literal -8256595017564257/36695977855841144185773134324833391052745039826692497979801421430190766017415756929120296849762010984873984 binary64)) (*.f64 x #s(literal 1/2 binary64)) (if (<=.f64 x #s(literal 2099999999999999947564101968641862674107334656 binary64)) z (*.f64 x #s(literal 1/2 binary64))))
z
Outputs
(-.f64 z (*.f64 x (-.f64 #s(literal -1/2 binary64) y)))
(+.f64 z (*.f64 x (-.f64 y #s(literal -1/2 binary64))))
(if (<=.f64 y #s(literal -1/2 binary64)) (+.f64 (*.f64 x y) z) (if (<=.f64 y #s(literal 5764607523034235/72057594037927936 binary64)) (-.f64 z (*.f64 x #s(literal -1/2 binary64))) (+.f64 (*.f64 x y) z)))
(if (or (<=.f64 y #s(literal -1/2 binary64)) (not (<=.f64 y #s(literal 5764607523034235/72057594037927936 binary64)))) (+.f64 z (*.f64 x y)) (-.f64 z (*.f64 x #s(literal -1/2 binary64))))
(if (<=.f64 z #s(literal -1500000000000000011519605591548954453600299148873985144978445172736 binary64)) (+.f64 (*.f64 x y) z) (if (<=.f64 z #s(literal 1973027210396719/1461501637330902918203684832716283019655932542976 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) (+.f64 (*.f64 x y) z)))
(if (or (<=.f64 z #s(literal -1500000000000000011519605591548954453600299148873985144978445172736 binary64)) (not (<=.f64 z #s(literal 1973027210396719/1461501637330902918203684832716283019655932542976 binary64)))) (+.f64 z (*.f64 x y)) (*.f64 x (+.f64 y #s(literal 1/2 binary64))))
(if (<=.f64 z #s(literal -3499999999999999906031553804593356116680939157249948004734346490108582162297737670733390279961050868800388334522364093293771313727380830278036547046473728 binary64)) z (if (<=.f64 z #s(literal 1720000000000000001863615670569372983629750760228939027127406833834614573210696277635662835258788269799492595681718321573844226871329618534919815330010528481280 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) y)) z))
(if (<=.f64 z #s(literal -3499999999999999906031553804593356116680939157249948004734346490108582162297737670733390279961050868800388334522364093293771313727380830278036547046473728 binary64)) z (if (<=.f64 z #s(literal 1720000000000000001863615670569372983629750760228939027127406833834614573210696277635662835258788269799492595681718321573844226871329618534919815330010528481280 binary64)) (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z))
(if (<=.f64 y #s(literal -6399999999999999697953422408842675628240082646583148705946983903264768 binary64)) (*.f64 x y) (if (<=.f64 y #s(literal -2667849736027765/118571099379011784113736688648896417641748464297615937576404566024103044751294464 binary64)) z (if (<=.f64 y #s(literal 5764607523034235/72057594037927936 binary64)) (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y))))
(if (<=.f64 x #s(literal -8256595017564257/36695977855841144185773134324833391052745039826692497979801421430190766017415756929120296849762010984873984 binary64)) (*.f64 x #s(literal 1/2 binary64)) (if (<=.f64 x #s(literal 2099999999999999947564101968641862674107334656 binary64)) z (*.f64 x #s(literal 1/2 binary64))))
(if (or (<=.f64 x #s(literal -8256595017564257/36695977855841144185773134324833391052745039826692497979801421430190766017415756929120296849762010984873984 binary64)) (not (<=.f64 x #s(literal 2099999999999999947564101968641862674107334656 binary64)))) (*.f64 x #s(literal 1/2 binary64)) z)
z

soundness837.0ms (20.2%)

Rules
1 010×fmm-def
776×log1p-expm1-u
776×expm1-log1p-u
712×times-frac
531×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05159003
112717589
236197547
061711625
1133610553
241599889
020126
1276110
24102102
040435
199371
2275371
3801323
41688297
52817292
63293292
73479292
83529292
93537292
103537276
114075276
124075276
Stop Event
1×done
1×saturated
1×node limit
1×node limit
1×node limit
Compiler

Compiled 325 to 141 computations (56.6% saved)

preprocess97.0ms (2.3%)

Compiler

Compiled 222 to 112 computations (49.5% saved)

end0.0ms (0%)

Profiling

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