Bouland and Aaronson, Equation (24)

Time bar (total: 10.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 31 to 19 computations (38.7% saved)

sample1.8s (17.8%)

Memory
33.8MiB live, 1 956.2MiB allocated
Samples
1.3s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-mult: 345.0ms (31.7% of total)
ival-add: 331.0ms (30.4% of total)
ival-sub: 239.0ms (22% of total)
ival-pow2: 152.0ms (14% of total)
exact: 11.0ms (1% of total)
ival-true: 6.0ms (0.6% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain323.0ms (3.1%)

Memory
-43.6MiB live, 479.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
540-0-(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
350-0-(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
151(1.504694102976362e-194 -9.999052956022715e-163)0-(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
00-0-(*.f64 a a)
00-0-a
00-0-#s(literal 3 binary64)
00-0-#s(literal 1 binary64)
00-0-(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a))
00-0-(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
00-0-(*.f64 b b)
00-0-(-.f64 #s(literal 1 binary64) a)
00-0-(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))
00-0-(+.f64 (*.f64 a a) (*.f64 b b))
00-0-(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
00-0-#s(literal 4 binary64)
00-0-#s(literal 2 binary64)
00-0-(+.f64 #s(literal 3 binary64) a)
00-0-b
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))nan-rescue540
(*.f64 b b)overflow58
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))overflow150
(*.f64 a a)overflow71
(+.f64 (*.f64 a a) (*.f64 b b))overflow113
(*.f64 b b)overflow58
(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))overflow126
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))overflow126
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))overflow77
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a))overflow84
(*.f64 a a)overflow71
+.f64(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))nan-rescue350
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a))overflow84
(*.f64 a a)overflow71
(*.f64 b b)overflow58
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))overflow77
Confusion
Predicted +Predicted -
+720
-0184
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+7200
-00184
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0184
155
217
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
70.0ms512×0valid
Compiler

Compiled 307 to 58 computations (81.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-sub: 19.0ms (38.7% of total)
ival-mult: 14.0ms (28.5% of total)
ival-add: 9.0ms (18.3% of total)
ival-pow2: 5.0ms (10.2% of total)
ival-true: 1.0ms (2% of total)
exact: 1.0ms (2% of total)
ival-assert: 0.0ms (0% of total)

preprocess378.0ms (3.7%)

Memory
30.0MiB live, 526.8MiB allocated
Algorithm
egg-herbie
Rules
26 512×lower-fma.f64
26 512×lower-fma.f32
4 188×lower-+.f32
4 180×lower-+.f64
3 330×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044149
1154147
2653145
32940145
46883145
01829
03029
16329
217829
355229
4155829
5283629
6670329
0809126
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
Outputs
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 a a (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 b b (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))) #s(literal -1 binary64)))
Symmetry

(abs b)

Compiler

Compiled 31 to 18 computations (41.9% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.7%
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
Compiler

Compiled 31 to 18 computations (41.9% saved)

simplify367.0ms (3.6%)

Memory
7.3MiB live, 539.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff128
(+.f64 (*.f64 a a) (*.f64 b b))
cost-diff128
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
cost-diff320
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
cost-diff5440
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
Rules
26 512×lower-fma.f64
26 512×lower-fma.f32
4 188×lower-+.f32
4 180×lower-+.f64
3 330×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018136
030136
163136
2178136
3552136
41558136
52836136
66703136
08091126
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
(+.f64 (*.f64 a a) (*.f64 b b))
(*.f64 a a)
a
(*.f64 b b)
b
#s(literal 2 binary64)
(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))
#s(literal 4 binary64)
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a))
(-.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
(+.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
Outputs
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 a a (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 b b (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))) #s(literal -1 binary64)))
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
(fma.f64 (*.f64 b b) (fma.f64 a a (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (*.f64 (*.f64 a a) (fma.f64 b b (fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))))))
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
(*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))
(+.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 a a (*.f64 b b))
(*.f64 a a)
a
(*.f64 b b)
b
#s(literal 2 binary64)
(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))
(*.f64 #s(literal 4 binary64) (fma.f64 a (-.f64 a (*.f64 a a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))))
#s(literal 4 binary64)
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
(fma.f64 a (-.f64 a (*.f64 a a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))))
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a))
(*.f64 a (-.f64 a (*.f64 a a)))
(-.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(+.f64 #s(literal 3 binary64) a)
(+.f64 a #s(literal 3 binary64))
#s(literal 3 binary64)

localize48.0ms (0.5%)

Memory
-13.2MiB live, 102.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.15853500976844204
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
accuracy3.707627724395556
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
accuracy7.8437149091134994
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
accuracy10.78515625
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
Samples
29.0ms256×0valid
Compiler

Compiled 138 to 20 computations (85.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 7.0ms (37.2% of total)
ival-sub: 4.0ms (21.2% of total)
ival-add: 4.0ms (21.2% of total)
ival-pow2: 3.0ms (15.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series19.0ms (0.2%)

Memory
-30.6MiB live, 22.1MiB allocated
Counts
6 → 144
Calls
Call 1
Inputs
#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) (patch (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())
#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())
Outputs
#s(alt (pow b 4) (taylor 0 a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) (taylor 0 a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) (taylor 0 a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) (taylor 0 a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor inf a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) (taylor inf a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) (taylor inf a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) (taylor inf a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor -inf a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) (taylor -inf a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) (taylor -inf a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor 0 b) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (taylor 0 b) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) (taylor 0 b) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) (taylor 0 b) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow b 4) (taylor inf b) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) (taylor inf b) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) (taylor inf b) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) (taylor inf b) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor -inf b) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) (taylor -inf b) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) (taylor -inf b) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) (taylor -inf b) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow b 2)) (taylor 0 a) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow b 2)) (* a (pow b 2))) (taylor 0 a) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow b 2)) (* a (+ a (pow b 2)))) (taylor 0 a) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2)))) (taylor 0 a) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow a 3)) (taylor inf a) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 3) (- (/ 1 a) 1)) (taylor inf a) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1)) (taylor inf a) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1)) (taylor inf a) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow a 3)) (taylor -inf a) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow a 3) (- 1 (/ 1 a)))) (taylor -inf a) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a))))) (taylor -inf a) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a))))) (taylor -inf a) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (- 1 a)) (taylor 0 b) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a))) (taylor 0 b) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a))) (taylor 0 b) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a))) (taylor 0 b) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 a)) (taylor inf b) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) (taylor inf b) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) (taylor inf b) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) (taylor inf b) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 a)) (taylor -inf b) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) (taylor -inf b) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) (taylor -inf b) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) (taylor -inf b) (#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 a)) (taylor 0 b) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 a)) (taylor 0 b) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 a)) (taylor 0 b) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 a)) (taylor 0 b) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 a)) (taylor inf b) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 a)) (taylor inf b) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 a)) (taylor inf b) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 a)) (taylor inf b) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 a)) (taylor -inf b) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 a)) (taylor -inf b) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 a)) (taylor -inf b) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 3 a)) (taylor -inf b) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow b 2)) (taylor 0 a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow b 2)) (* a (pow b 2))) (taylor 0 a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow b 2)) (* a (pow b 2))) (taylor 0 a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow b 2)) (* a (pow b 2))) (taylor 0 a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* a (pow b 2)) (taylor inf a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* 3 (/ (pow b 2) a)) (pow b 2))) (taylor inf a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* 3 (/ (pow b 2) a)) (pow b 2))) (taylor inf a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* 3 (/ (pow b 2) a)) (pow b 2))) (taylor inf a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* a (pow b 2)) (taylor -inf a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) (taylor -inf a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) (taylor -inf a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))))) (taylor -inf a) (#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())) ())
Calls

36 calls:

TimeVariablePointExpression
1.0ms
b
@0
(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))
0.0ms
b
@0
(pow (+ (* a a) (* b b)) 2)
0.0ms
a
@inf
(pow (+ (* a a) (* b b)) 2)
0.0ms
a
@0
(pow (+ (* a a) (* b b)) 2)
0.0ms
b
@inf
(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))

simplify311.0ms (3%)

Memory
41.1MiB live, 462.8MiB allocated
Algorithm
egg-herbie
Rules
19 992×lower-fma.f64
19 992×lower-fma.f32
4 374×lower-+.f64
4 374×lower-+.f32
3 756×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01912222
15992169
218452105
357612012
084751830
Stop Event
iter limit
node limit
Counts
144 → 144
Calls
Call 1
Inputs
(pow b 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(pow a 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(+ (* 12 (pow b 2)) (pow b 4))
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4)))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 2)
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(pow a 2)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(pow a 2)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(pow a 2)
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(pow b 2)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* 3 (pow b 2))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(+ (* 3 (pow b 2)) (* a (+ a (pow b 2))))
(+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2))))
(* -1 (pow a 3))
(* (pow a 3) (- (/ 1 a) 1))
(* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1))
(* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1))
(* -1 (pow a 3))
(* -1 (* (pow a 3) (- 1 (/ 1 a))))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a)))))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a)))))
(* (pow a 2) (- 1 a))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* 3 (pow b 2))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(* a (pow b 2))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(* a (pow b 2))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
Outputs
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(*.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a))))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(*.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a))))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a))))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) (*.f64 a (*.f64 a (*.f64 a a))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) (*.f64 a (*.f64 a (*.f64 a a))))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) (*.f64 a (*.f64 a (*.f64 a a))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) (*.f64 a (*.f64 a (*.f64 a a))))
(+ (* 12 (pow b 2)) (pow b 4))
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))))
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4)))
(*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) (*.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4)))
(fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 b (/.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)) #s(literal 1 binary64))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)) #s(literal 1 binary64))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal -2 binary64) #s(literal -4 binary64)) a)) a)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 4 binary64)) a)) a)))
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)))))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)))))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)))))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a))))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a))))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal -1 binary64))
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(fma.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal -1 binary64)))
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 b (/.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)) #s(literal 1 binary64))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)) #s(literal 1 binary64))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal -2 binary64) #s(literal -4 binary64)) a)) a)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 4 binary64)) a)) a)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a)))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a)))))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a)))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a)))))
(pow b 2)
(*.f64 b b)
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(pow a 2)
(*.f64 a a)
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(* 3 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 3 binary64))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(+ (* 3 (pow b 2)) (* a (+ a (pow b 2))))
(fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a a))
(+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2))))
(fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (-.f64 a (*.f64 a a))))
(* -1 (pow a 3))
(*.f64 a (*.f64 a (neg.f64 a)))
(* (pow a 3) (- (/ 1 a) 1))
(*.f64 a (-.f64 a (*.f64 a a)))
(* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1))
(*.f64 a (fma.f64 b b (*.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)))))
(* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1))
(fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) a))) (*.f64 a (-.f64 a (*.f64 a a))))
(* -1 (pow a 3))
(*.f64 a (*.f64 a (neg.f64 a)))
(* -1 (* (pow a 3) (- 1 (/ 1 a))))
(*.f64 a (-.f64 a (*.f64 a a)))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a)))))
(*.f64 a (fma.f64 b b (*.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)))))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a)))))
(*.f64 a (*.f64 (*.f64 a a) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) a))) a)) a))))
(* (pow a 2) (- 1 a))
(*.f64 a (-.f64 a (*.f64 a a)))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (-.f64 a (*.f64 a a))))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (-.f64 a (*.f64 a a))))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (-.f64 a (*.f64 a a))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* 3 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 3 binary64))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* a (pow b 2))
(*.f64 b (*.f64 b a))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(fma.f64 b (*.f64 b a) (neg.f64 (*.f64 (*.f64 b b) #s(literal -3 binary64))))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(fma.f64 b (*.f64 b a) (neg.f64 (*.f64 (*.f64 b b) #s(literal -3 binary64))))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(fma.f64 b (*.f64 b a) (neg.f64 (*.f64 (*.f64 b b) #s(literal -3 binary64))))
(* a (pow b 2))
(*.f64 b (*.f64 b a))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(fma.f64 b (*.f64 b a) (neg.f64 (*.f64 (*.f64 b b) #s(literal -3 binary64))))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(fma.f64 b (*.f64 b a) (neg.f64 (*.f64 (*.f64 b b) #s(literal -3 binary64))))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(fma.f64 b (*.f64 b a) (neg.f64 (*.f64 (*.f64 b b) #s(literal -3 binary64))))

rewrite324.0ms (3.1%)

Memory
-30.0MiB live, 418.9MiB allocated
Rules
5 458×lower-fma.f64
5 458×lower-fma.f32
4 122×lower-/.f64
4 122×lower-/.f32
3 974×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01894
03094
114094
2125194
0829981
Stop Event
iter limit
node limit
iter limit
Counts
6 → 546
Calls
Call 1
Inputs
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
(+.f64 (*.f64 a a) (*.f64 b b))
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
Outputs
(+.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)))
(+.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)))
(+.f64 (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))))
(+.f64 (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (fma.f64 a a (*.f64 b b)))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (fma.f64 a a (*.f64 b b)))) #s(literal 1 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))))
(fma.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b)) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))))
(fma.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)))
(fma.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)))
(/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)))) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a))))) (*.f64 (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)))) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a))))) (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)))) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))))))
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(/.f64 (neg.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal 27 binary64)) (*.f64 b b))) (neg.f64 (fma.f64 a (+.f64 a #s(literal -3 binary64)) #s(literal 9 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 a a)) (*.f64 b b))) (neg.f64 (-.f64 #s(literal 3 binary64) a)))
(/.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 a (*.f64 a a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 27 binary64))) (fma.f64 (*.f64 a (*.f64 b b)) (*.f64 a (*.f64 b b)) (-.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 3 binary64)) (*.f64 (*.f64 b b) #s(literal 3 binary64))) (*.f64 (*.f64 a (*.f64 b b)) (*.f64 (*.f64 b b) #s(literal 3 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 a (*.f64 b b)) (*.f64 a (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) #s(literal 3 binary64)) (*.f64 (*.f64 b b) #s(literal 3 binary64)))) (-.f64 (*.f64 a (*.f64 b b)) (*.f64 (*.f64 b b) #s(literal 3 binary64))))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(*.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)))
(*.f64 (+.f64 a #s(literal 3 binary64)) (*.f64 b b))
(*.f64 (*.f64 b (+.f64 a #s(literal 3 binary64))) b)
(*.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 27 binary64) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 b b) #s(literal 3 binary64)) (*.f64 (*.f64 b b) #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 a (*.f64 b b)) (*.f64 a (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) #s(literal 3 binary64)) (*.f64 a (*.f64 b b)))))))
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 3 binary64)) (*.f64 (*.f64 b b) #s(literal 3 binary64))) (*.f64 (*.f64 a (*.f64 b b)) (*.f64 a (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 b b) #s(literal 3 binary64)) (*.f64 a (*.f64 b b)))))
(*.f64 (*.f64 (*.f64 b b) (fma.f64 a (*.f64 a a) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal -3 binary64)) #s(literal 9 binary64))))
(*.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 9 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) a)))
(*.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal 27 binary64)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal -3 binary64)) #s(literal 9 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 a a)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) a)))

eval99.0ms (1%)

Memory
34.6MiB live, 184.9MiB allocated
Compiler

Compiled 60 121 to 2 604 computations (95.7% saved)

prune193.0ms (1.9%)

Memory
-11.2MiB live, 151.6MiB allocated
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New67614690
Fresh000
Picked101
Done000
Total67714691
Accuracy
100.0%
Counts
691 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.3%
(fma.f64 (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))
14.5%
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)))) (*.f64 (+.f64 a b) (-.f64 a b)))) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal -1 binary64)))
43.4%
(fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal -1 binary64)))
19.6%
(fma.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal -1 binary64)))
73.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))))
9.4%
(-.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a))) (*.f64 a (*.f64 (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a))))) (*.f64 (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) (*.f64 (*.f64 b b) (*.f64 (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 b (+.f64 a #s(literal 3 binary64))))))) #s(literal 4 binary64)) (*.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)))) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a))))) (*.f64 (fma.f64 (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) (-.f64 (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) (*.f64 a (*.f64 (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))))) (*.f64 (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))))) (*.f64 (fma.f64 (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) (-.f64 (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) (*.f64 a (*.f64 (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))))) (*.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)))) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a))))))) #s(literal 1 binary64))
71.8%
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
60.9%
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
71.6%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1 binary64))
67.1%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
73.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
90.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))))
41.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))
46.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
Compiler

Compiled 1 336 to 468 computations (65% saved)

simplify202.0ms (2%)

Memory
-3.1MiB live, 161.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 b b)
cost-diff0
(fma.f64 a a (*.f64 b b))
cost-diff0
(*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))))
cost-diff2752
(fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal -1 binary64)))
cost-diff0
(-.f64 #s(literal 1 binary64) a)
cost-diff0
(*.f64 a (-.f64 #s(literal 1 binary64) a))
cost-diff0
(fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))))
cost-diff0
(fma.f64 (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))
cost-diff0
(*.f64 a (*.f64 a a))
cost-diff0
(*.f64 a (*.f64 a (*.f64 a a)))
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 a (*.f64 a (*.f64 a a))))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1 binary64))
cost-diff0
(*.f64 a a)
cost-diff0
(*.f64 a (*.f64 a a))
cost-diff0
(*.f64 a (*.f64 a (*.f64 a a)))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
cost-diff0
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))))
cost-diff128
(fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))
cost-diff192
(fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)))
Rules
8 148×lower-fma.f32
8 124×lower-fma.f64
4 598×lower-*.f32
4 576×lower-*.f64
1 994×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053543
093488
1226478
2658474
32606474
46284474
08160467
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))))
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
b
(*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))
a
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 12 binary64)
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))
(*.f64 a a)
(fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)))
(fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))
(neg.f64 a)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
(*.f64 a (*.f64 a (*.f64 a a)))
a
(*.f64 a (*.f64 a a))
(*.f64 a a)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 a (*.f64 a (*.f64 a a))))
(*.f64 a (*.f64 a (*.f64 a a)))
a
(*.f64 a (*.f64 a a))
(*.f64 a a)
#s(literal 1 binary64)
(fma.f64 (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))
(fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))))
a
(*.f64 a (-.f64 #s(literal 1 binary64) a))
(-.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
b
(*.f64 b (+.f64 a #s(literal 3 binary64)))
(+.f64 a #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 4 binary64)
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))
(fma.f64 a a (*.f64 b b))
(*.f64 b b)
#s(literal -1 binary64)
(fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal -1 binary64)))
(*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))))
(fma.f64 a a (*.f64 b b))
a
(*.f64 b b)
b
(*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))
(*.f64 (+.f64 a b) (-.f64 a b))
(+.f64 a b)
(-.f64 a b)
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b)))
#s(literal 1 binary64)
(fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal -1 binary64))
#s(literal 4 binary64)
(fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))))
(*.f64 a (-.f64 #s(literal 1 binary64) a))
(-.f64 #s(literal 1 binary64) a)
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(*.f64 b (+.f64 a #s(literal 3 binary64)))
(+.f64 a #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal -1 binary64)
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))))
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))
b
(*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
(*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))
(fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))
a
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64))
(fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 12 binary64)
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 a a)
(fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)))
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))
(fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))
(fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))
(neg.f64 a)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
(*.f64 a (*.f64 a (*.f64 a a)))
a
(*.f64 a (*.f64 a a))
(*.f64 a a)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 a (*.f64 a (*.f64 a a)))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 a (*.f64 a (*.f64 a a))))
(*.f64 a (*.f64 a (*.f64 a a)))
a
(*.f64 a (*.f64 a a))
(*.f64 a a)
#s(literal 1 binary64)
(fma.f64 (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))
(fma.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (fma.f64 a (neg.f64 a) a))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))
(fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))))
(fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (fma.f64 a (neg.f64 a) a)))
a
(*.f64 a (-.f64 #s(literal 1 binary64) a))
(fma.f64 a (neg.f64 a) a)
(-.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
b
(*.f64 b (+.f64 a #s(literal 3 binary64)))
(+.f64 a #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 4 binary64)
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))
(fma.f64 a a (*.f64 b b))
(*.f64 b b)
#s(literal -1 binary64)
(fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal -1 binary64)))
(fma.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (fma.f64 a (neg.f64 a) a))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))
(*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))))
(*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) (*.f64 (+.f64 a b) (-.f64 a b)))
(fma.f64 a a (*.f64 b b))
a
(*.f64 b b)
b
(*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))
(*.f64 (+.f64 a b) (-.f64 a b))
(+.f64 a b)
(-.f64 a b)
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b)))
#s(literal 1 binary64)
(fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal -1 binary64))
(fma.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (fma.f64 a (neg.f64 a) a))) #s(literal -1 binary64))
#s(literal 4 binary64)
(fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))))
(fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (fma.f64 a (neg.f64 a) a)))
(*.f64 a (-.f64 #s(literal 1 binary64) a))
(fma.f64 a (neg.f64 a) a)
(-.f64 #s(literal 1 binary64) a)
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(*.f64 b (+.f64 a #s(literal 3 binary64)))
(+.f64 a #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal -1 binary64)

localize207.0ms (2%)

Memory
-2.1MiB live, 155.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.15853500976844204
(*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))
accuracy0.6714676049342692
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b)))
accuracy7.081996159113506
(fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))))
accuracy29.548430295791725
(fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal -1 binary64)))
accuracy0.09994125976844202
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))
accuracy0.11328125
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
accuracy7.081996159113506
(fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))))
accuracy10.78125
(fma.f64 (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))
accuracy0
(*.f64 a a)
accuracy0.06640625
(*.f64 a (*.f64 a (*.f64 a a)))
accuracy0.10546875
(*.f64 a (*.f64 a a))
accuracy30.874786456032233
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 a (*.f64 a (*.f64 a a))))
accuracy0
(*.f64 a a)
accuracy0.06640625
(*.f64 a (*.f64 a (*.f64 a a)))
accuracy0.10546875
(*.f64 a (*.f64 a a))
accuracy34.0366315117217
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
accuracy0.046875
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
accuracy0.078125
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))
accuracy3.3987682463460294
(*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
accuracy6.34755973023317
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))))
Samples
105.0ms240×0valid
7.0ms11×1valid
5.0ms2valid
Compiler

Compiled 539 to 57 computations (89.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 92.0ms
ival-mult: 45.0ms (48.7% of total)
ival-pow2: 19.0ms (20.6% of total)
ival-add: 18.0ms (19.5% of total)
ival-sub: 4.0ms (4.3% of total)
adjust: 2.0ms (2.2% of total)
ival-div: 2.0ms (2.2% of total)
exact: 1.0ms (1.1% of total)
ival-neg: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series53.0ms (0.5%)

Memory
12.8MiB live, 50.2MiB allocated
Counts
24 → 468
Calls
Call 1
Inputs
#s(alt (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) (patch (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (patch (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))) (patch (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a)))) #<representation binary64>) () ())
#s(alt (*.f64 a (*.f64 a (*.f64 a a))) (patch (*.f64 a (*.f64 a (*.f64 a a))) #<representation binary64>) () ())
#s(alt (*.f64 a (*.f64 a a)) (patch (*.f64 a (*.f64 a a)) #<representation binary64>) () ())
#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 a (*.f64 a (*.f64 a a)))) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 a (*.f64 a (*.f64 a a)))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) (patch (fma.f64 (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (patch (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 a (-.f64 #s(literal 1 binary64) a)) (patch (*.f64 a (-.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) a) (patch (-.f64 #s(literal 1 binary64) a) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal -1 binary64))) (patch (fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (patch (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) #<representation binary64>) () ())
#s(alt (fma.f64 a a (*.f64 b b)) (patch (fma.f64 a a (*.f64 b b)) #<representation binary64>) () ())
#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())
#s(alt (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) (patch (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (patch (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) #<representation binary64>) () ())
Outputs
#s(alt 4 (taylor 0 a) (#s(alt (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) (patch (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4 (* -4 a)) (taylor 0 a) (#s(alt (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) (patch (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4 (* a (- a 4))) (taylor 0 a) (#s(alt (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) (patch (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4 (* a (- a 4))) (taylor 0 a) (#s(alt (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) (patch (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor inf a) (#s(alt (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) (patch (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (- 1 (* 4 (/ 1 a)))) (taylor inf a) (#s(alt (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) (patch (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) (taylor inf a) (#s(alt (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) (patch (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a)))) (taylor inf a) (#s(alt (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) (patch (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) (patch (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (- 1 (* 4 (/ 1 a)))) (taylor -inf a) (#s(alt (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) (patch (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) (taylor -inf a) (#s(alt (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) (patch (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a)))) (taylor -inf a) (#s(alt (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) (patch (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt 4 (taylor 0 a) (#s(alt (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (patch (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4 (* -4 a)) (taylor 0 a) (#s(alt (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (patch (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4 (* -4 a)) (taylor 0 a) (#s(alt (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (patch (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) (taylor -inf b) (#s(alt (fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal -1 binary64))) (patch (fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (pow a 6) (taylor inf a) (#s(alt (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (patch (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) #<representation binary64>) () ())) ())
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#s(alt (* (pow a 6) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (* 2 (/ (pow b 2) (pow a 2))) (/ b a)))))) (taylor inf a) (#s(alt (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (patch (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 6) (+ 1 (+ (* -2 (/ (pow b 3) (pow a 3))) (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 2 (/ (pow b 3) (pow a 3))) (/ b a)))))))) (taylor inf a) (#s(alt (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (patch (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (pow a 6) (taylor -inf a) (#s(alt (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (patch (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) #<representation binary64>) () ())) ())
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#s(alt (pow a 6) (taylor 0 b) (#s(alt (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (patch (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (+ (* b (+ (* -1 (pow a 5)) (pow a 5))) (pow a 6)) (taylor 0 b) (#s(alt (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (patch (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (+ (* b (+ (* -1 (pow a 5)) (+ (* b (+ (* -1 (pow a 4)) (* 2 (pow a 4)))) (pow a 5)))) (pow a 6)) (taylor 0 b) (#s(alt (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (patch (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (+ (* b (+ (* -1 (pow a 5)) (+ (* b (+ (* -1 (pow a 4)) (+ (* 2 (pow a 4)) (* b (+ (* -2 (pow a 3)) (* 2 (pow a 3))))))) (pow a 5)))) (pow a 6)) (taylor 0 b) (#s(alt (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (patch (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow b 6)) (taylor inf b) (#s(alt (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (patch (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 6) (- (+ (* -1 (/ a b)) (/ a b)) 1)) (taylor inf b) (#s(alt (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (patch (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 6) (- (+ (* -2 (/ (pow a 2) (pow b 2))) (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2))))) 1)) (taylor inf b) (#s(alt (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (patch (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 6) (- (+ (* -2 (/ (pow a 2) (pow b 2))) (+ (* -2 (/ (pow a 3) (pow b 3))) (+ (* -1 (/ a b)) (+ (* 2 (/ (pow a 3) (pow b 3))) (+ (/ a b) (/ (pow a 2) (pow b 2))))))) 1)) (taylor inf b) (#s(alt (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (patch (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow b 6)) (taylor -inf b) (#s(alt (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (patch (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 6) (- (* -1 (/ (+ a (* -1 a)) b)) 1)) (taylor -inf b) (#s(alt (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (patch (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 6) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (+ (* -2 (pow a 2)) (pow a 2)) b)))) b)) 1)) (taylor -inf b) (#s(alt (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (patch (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 6) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (+ (* -2 (pow a 2)) (+ (* -1 (/ (+ (* -2 (pow a 3)) (* 2 (pow a 3))) b)) (pow a 2))) b)))) b)) 1)) (taylor -inf b) (#s(alt (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (patch (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 a) (#s(alt (fma.f64 a a (*.f64 b b)) (patch (fma.f64 a a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (pow a 2) (pow b 2)) (taylor 0 a) (#s(alt (fma.f64 a a (*.f64 b b)) (patch (fma.f64 a a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (pow a 2) (pow b 2)) (taylor 0 a) (#s(alt (fma.f64 a a (*.f64 b b)) (patch (fma.f64 a a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (pow a 2) (pow b 2)) (taylor 0 a) (#s(alt (fma.f64 a a (*.f64 b b)) (patch (fma.f64 a a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor inf a) (#s(alt (fma.f64 a a (*.f64 b b)) (patch (fma.f64 a a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) (taylor inf a) (#s(alt (fma.f64 a a (*.f64 b b)) (patch (fma.f64 a a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) (taylor inf a) (#s(alt (fma.f64 a a (*.f64 b b)) (patch (fma.f64 a a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) (taylor inf a) (#s(alt (fma.f64 a a (*.f64 b b)) (patch (fma.f64 a a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (fma.f64 a a (*.f64 b b)) (patch (fma.f64 a a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) (taylor -inf a) (#s(alt (fma.f64 a a (*.f64 b b)) (patch (fma.f64 a a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) (taylor -inf a) (#s(alt (fma.f64 a a (*.f64 b b)) (patch (fma.f64 a a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) (taylor -inf a) (#s(alt (fma.f64 a a (*.f64 b b)) (patch (fma.f64 a a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor 0 b) (#s(alt (fma.f64 a a (*.f64 b b)) (patch (fma.f64 a a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (pow a 2) (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 a a (*.f64 b b)) (patch (fma.f64 a a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (pow a 2) (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 a a (*.f64 b b)) (patch (fma.f64 a a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (pow a 2) (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 a a (*.f64 b b)) (patch (fma.f64 a a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor inf b) (#s(alt (fma.f64 a a (*.f64 b b)) (patch (fma.f64 a a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) (taylor inf b) (#s(alt (fma.f64 a a (*.f64 b b)) (patch (fma.f64 a a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) (taylor inf b) (#s(alt (fma.f64 a a (*.f64 b b)) (patch (fma.f64 a a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) (taylor inf b) (#s(alt (fma.f64 a a (*.f64 b b)) (patch (fma.f64 a a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor -inf b) (#s(alt (fma.f64 a a (*.f64 b b)) (patch (fma.f64 a a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) (taylor -inf b) (#s(alt (fma.f64 a a (*.f64 b b)) (patch (fma.f64 a a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) (taylor -inf b) (#s(alt (fma.f64 a a (*.f64 b b)) (patch (fma.f64 a a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) (taylor -inf b) (#s(alt (fma.f64 a a (*.f64 b b)) (patch (fma.f64 a a (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor inf b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor inf b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor inf b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor inf b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor -inf b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor -inf b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor -inf b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor -inf b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ())
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#s(alt (+ (* b (+ (* -1 (pow a 3)) (pow a 3))) (pow a 4)) (taylor 0 b) (#s(alt (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (patch (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (+ (* b (+ (* -1 (pow a 3)) (+ (* b (+ (* -1 (pow a 2)) (pow a 2))) (pow a 3)))) (pow a 4)) (taylor 0 b) (#s(alt (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (patch (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (+ (* b (+ (* -1 (pow a 3)) (+ (* b (+ (* -1 (pow a 2)) (+ (* b (+ a (* -1 a))) (pow a 2)))) (pow a 3)))) (pow a 4)) (taylor 0 b) (#s(alt (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (patch (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow b 4)) (taylor inf b) (#s(alt (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (patch (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (- (+ (* -1 (/ a b)) (/ a b)) 1)) (taylor inf b) (#s(alt (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (patch (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (- (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (+ (/ a b) (/ (pow a 2) (pow b 2))))) 1)) (taylor inf b) (#s(alt (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (patch (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (- (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (+ (* -1 (/ (pow a 3) (pow b 3))) (+ (/ a b) (+ (/ (pow a 2) (pow b 2)) (/ (pow a 3) (pow b 3))))))) 1)) (taylor inf b) (#s(alt (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (patch (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow b 4)) (taylor -inf b) (#s(alt (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (patch (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (- (* -1 (/ (+ a (* -1 a)) b)) 1)) (taylor -inf b) (#s(alt (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (patch (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (+ (* -1 (pow a 2)) (pow a 2)) b)))) b)) 1)) (taylor -inf b) (#s(alt (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (patch (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow a 3)) (pow a 3)) b)) (+ (* -1 (pow a 2)) (pow a 2))) b)))) b)) 1)) (taylor -inf b) (#s(alt (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (patch (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) #<representation binary64>) () ())) ())
Calls

117 calls:

TimeVariablePointExpression
15.0ms
b
@0
(* (+ (* a a) (* b b)) (* (+ a b) (- a b)))
2.0ms
a
@0
(+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)
2.0ms
b
@0
(+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1))
1.0ms
b
@0
(/ 1 (* (+ a b) (- a b)))
1.0ms
b
@inf
(+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1))

simplify264.0ms (2.6%)

Memory
16.6MiB live, 252.5MiB allocated
Algorithm
egg-herbie
Rules
8 814×lower-fma.f64
8 814×lower-fma.f32
4 078×lower-+.f64
4 078×lower-+.f32
3 202×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06637227
121356805
277246785
080886296
Stop Event
iter limit
node limit
Counts
468 → 467
Calls
Call 1
Inputs
4
(+ 4 (* -4 a))
(+ 4 (* a (- a 4)))
(+ 4 (* a (- a 4)))
(pow a 2)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(pow a 2)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
4
(+ 4 (* -4 a))
(+ 4 (* -4 a))
(+ 4 (* -4 a))
(* -4 a)
(* a (- (* 4 (/ 1 a)) 4))
(* a (- (* 4 (/ 1 a)) 4))
(* a (- (* 4 (/ 1 a)) 4))
(* -4 a)
(* -1 (* a (- 4 (* 4 (/ 1 a)))))
(* -1 (* a (- 4 (* 4 (/ 1 a)))))
(* -1 (* a (- 4 (* 4 (/ 1 a)))))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(- (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(- (* 12 (pow b 2)) 1)
(- (+ (* 4 (* a (pow b 2))) (* 12 (pow b 2))) 1)
(- (+ (* 12 (pow b 2)) (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))))) 1)
(- (+ (* 12 (pow b 2)) (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2)))))))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(+ (* 12 (pow b 2)) (pow b 4))
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4)))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* 3 (pow b 2))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(+ (* 3 (pow b 2)) (* a (+ a (pow b 2))))
(+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2))))
(* -1 (pow a 3))
(* (pow a 3) (- (/ 1 a) 1))
(* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1))
(* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1))
(* -1 (pow a 3))
(* -1 (* (pow a 3) (- 1 (/ 1 a))))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a)))))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a)))))
(* (pow a 2) (- 1 a))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
a
(* a (+ 1 (* -1 a)))
(* a (+ 1 (* -1 a)))
(* a (+ 1 (* -1 a)))
(* -1 (pow a 2))
(* (pow a 2) (- (/ 1 a) 1))
(* (pow a 2) (- (/ 1 a) 1))
(* (pow a 2) (- (/ 1 a) 1))
(* -1 (pow a 2))
(* (pow a 2) (- (/ 1 a) 1))
(* (pow a 2) (- (/ 1 a) 1))
(* (pow a 2) (- (/ 1 a) 1))
1
(+ 1 (* -1 a))
(+ 1 (* -1 a))
(+ 1 (* -1 a))
(* -1 a)
(* a (- (/ 1 a) 1))
(* a (- (/ 1 a) 1))
(* a (- (/ 1 a) 1))
(* -1 a)
(* -1 (* a (- 1 (/ 1 a))))
(* -1 (* a (- 1 (/ 1 a))))
(* -1 (* a (- 1 (/ 1 a))))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* -1 (pow b 6))
(+ (* -1 (pow b 6)) (* a (+ (* -1 (pow b 5)) (pow b 5))))
(+ (* -1 (pow b 6)) (* a (+ (* -1 (pow b 5)) (+ (* a (+ (* -2 (pow b 4)) (pow b 4))) (pow b 5)))))
(+ (* -1 (pow b 6)) (* a (+ (* -1 (pow b 5)) (+ (* a (+ (* -2 (pow b 4)) (+ (* a (+ (* -2 (pow b 3)) (* 2 (pow b 3)))) (pow b 4)))) (pow b 5)))))
(pow a 6)
(* (pow a 6) (+ 1 (+ (* -1 (/ b a)) (/ b a))))
(* (pow a 6) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (* 2 (/ (pow b 2) (pow a 2))) (/ b a))))))
(* (pow a 6) (+ 1 (+ (* -2 (/ (pow b 3) (pow a 3))) (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 2 (/ (pow b 3) (pow a 3))) (/ b a))))))))
(pow a 6)
(* (pow a 6) (+ 1 (+ (* -1 (/ b a)) (/ b a))))
(* (pow a 6) (+ 1 (* -1 (/ (+ (* -2 (/ (pow b 2) a)) (+ (* -1 (+ b (* -1 b))) (/ (pow b 2) a))) a))))
(* (pow a 6) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (* -1 (/ (+ (* -2 (/ (pow b 3) a)) (+ (* -1 (+ (* -2 (pow b 2)) (pow b 2))) (* 2 (/ (pow b 3) a)))) a))) a))))
(pow a 6)
(+ (* b (+ (* -1 (pow a 5)) (pow a 5))) (pow a 6))
(+ (* b (+ (* -1 (pow a 5)) (+ (* b (+ (* -1 (pow a 4)) (* 2 (pow a 4)))) (pow a 5)))) (pow a 6))
(+ (* b (+ (* -1 (pow a 5)) (+ (* b (+ (* -1 (pow a 4)) (+ (* 2 (pow a 4)) (* b (+ (* -2 (pow a 3)) (* 2 (pow a 3))))))) (pow a 5)))) (pow a 6))
(* -1 (pow b 6))
(* (pow b 6) (- (+ (* -1 (/ a b)) (/ a b)) 1))
(* (pow b 6) (- (+ (* -2 (/ (pow a 2) (pow b 2))) (+ (* -1 (/ a b)) (+ (/ a b) (/ (pow a 2) (pow b 2))))) 1))
(* (pow b 6) (- (+ (* -2 (/ (pow a 2) (pow b 2))) (+ (* -2 (/ (pow a 3) (pow b 3))) (+ (* -1 (/ a b)) (+ (* 2 (/ (pow a 3) (pow b 3))) (+ (/ a b) (/ (pow a 2) (pow b 2))))))) 1))
(* -1 (pow b 6))
(* (pow b 6) (- (* -1 (/ (+ a (* -1 a)) b)) 1))
(* (pow b 6) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (+ (* -2 (pow a 2)) (pow a 2)) b)))) b)) 1))
(* (pow b 6) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (+ (* -2 (pow a 2)) (+ (* -1 (/ (+ (* -2 (pow a 3)) (* 2 (pow a 3))) b)) (pow a 2))) b)))) b)) 1))
(pow b 2)
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(pow a 2)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(pow a 2)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(pow a 2)
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(pow b 2)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* 12 b)
(+ (* 4 (* a b)) (* 12 b))
(+ (* 12 b) (* a (+ (* 2 (* a b)) (* 4 b))))
(+ (* 12 b) (* a (+ (* 2 (* a b)) (* 4 b))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* 2 b) (* 4 (/ b a))))
(* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (* 12 (/ b (pow a 2))))))
(* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (* 12 (/ b (pow a 2))))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* 2 b) (* 4 (/ b a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -12 (/ b a)) (* -4 b)) a)) (* 2 b)))
(* (pow a 2) (+ (* -1 (/ (+ (* -12 (/ b a)) (* -4 b)) a)) (* 2 b)))
-1
(- (* 4 (pow a 2)) 1)
(- (* (pow a 2) (+ 4 (* -4 a))) 1)
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4)))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a))))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* 3 (pow b 2))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(* a (pow b 2))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(* a (pow b 2))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(- (pow b 4) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) 1)
(- (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) 1)
(- (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))) (/ 1 (pow a 4))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))) (/ 1 (pow a 4))))
(- (pow a 4) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) 1)
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))) (/ 1 (pow b 4))))
(/ -1 (pow b 2))
(- (* -1 (/ (pow a 2) (pow b 4))) (/ 1 (pow b 2)))
(- (* (pow a 2) (- (* -1 (/ (pow a 2) (pow b 6))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(- (* (pow a 2) (- (* (pow a 2) (- (* -1 (/ (pow a 2) (pow b 8))) (/ 1 (pow b 6)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(/ 1 (pow a 2))
(/ (+ 1 (* -1 (/ (+ b (* -1 b)) a))) (pow a 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow b 2)) (* -1 (pow (+ b (* -1 b)) 2))) (pow a 2)))) (+ (* -1 (/ b a)) (/ b a))) (pow a 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ b (* -1 b)) (+ (* -1 (pow b 2)) (* -1 (pow (+ b (* -1 b)) 2))))) (* (pow b 2) (+ b (* -1 b)))) (pow a 3)))) (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (* -1 (/ (pow (+ b (* -1 b)) 2) (pow a 2))) (/ b a))))) (pow a 2))
(/ 1 (pow a 2))
(/ (+ 1 (* -1 (/ (+ b (* -1 b)) a))) (pow a 2))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow b 2) a)) (* -1 (/ (pow (+ b (* -1 b)) 2) a))) (* -1 (+ b (* -1 b)))) a))) (pow a 2))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow b 2) (+ b (* -1 b))) a)) (/ (* (+ b (* -1 b)) (+ (* -1 (pow b 2)) (* -1 (pow (+ b (* -1 b)) 2)))) a)) (+ (* -1 (pow b 2)) (* -1 (pow (+ b (* -1 b)) 2)))) a)) (* -1 (+ b (* -1 b)))) a))) (pow a 2))
(/ 1 (pow a 2))
(+ (/ 1 (pow a 2)) (/ (pow b 2) (pow a 4)))
(+ (* (pow b 2) (+ (/ 1 (pow a 4)) (/ (pow b 2) (pow a 6)))) (/ 1 (pow a 2)))
(+ (* (pow b 2) (+ (* (pow b 2) (+ (/ 1 (pow a 6)) (/ (pow b 2) (pow a 8)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(/ -1 (pow b 2))
(/ (- (* -1 (/ (+ a (* -1 a)) b)) 1) (pow b 2))
(/ (- (* -1 (/ (+ (pow a 2) (pow (+ a (* -1 a)) 2)) (pow b 2))) (+ 1 (+ (* -1 (/ a b)) (/ a b)))) (pow b 2))
(/ (- (* -1 (/ (+ (* (+ a (* -1 a)) (+ (pow a 2) (pow (+ a (* -1 a)) 2))) (* (pow a 2) (+ a (* -1 a)))) (pow b 3))) (+ 1 (+ (* -1 (/ a b)) (+ (/ a b) (+ (/ (pow a 2) (pow b 2)) (/ (pow (+ a (* -1 a)) 2) (pow b 2))))))) (pow b 2))
(/ -1 (pow b 2))
(/ (- (+ (* -1 (/ a b)) (/ a b)) 1) (pow b 2))
(/ (- (* -1 (/ (- (+ (/ (pow a 2) b) (/ (pow (+ a (* -1 a)) 2) b)) (+ a (* -1 a))) b)) 1) (pow b 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ a (* -1 a)) (+ (pow a 2) (pow (+ a (* -1 a)) 2))) b) (/ (* (pow a 2) (+ a (* -1 a))) b)) (+ (pow a 2) (pow (+ a (* -1 a)) 2))) b)) (+ a (* -1 a))) b)) 1) (pow b 2))
(* -1 (pow b 4))
(+ (* -1 (pow b 4)) (* a (+ (* -1 (pow b 3)) (pow b 3))))
(+ (* -1 (pow b 4)) (* a (+ (* -1 (pow b 3)) (+ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)))))
(+ (* -1 (pow b 4)) (* a (+ (* -1 (pow b 3)) (+ (* a (+ (* -1 (pow b 2)) (+ (* a (+ b (* -1 b))) (pow b 2)))) (pow b 3)))))
(pow a 4)
(* (pow a 4) (+ 1 (+ (* -1 (/ b a)) (/ b a))))
(* (pow a 4) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (/ b a) (/ (pow b 2) (pow a 2)))))))
(* (pow a 4) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (* -1 (/ (pow b 3) (pow a 3))) (+ (/ b a) (+ (/ (pow b 2) (pow a 2)) (/ (pow b 3) (pow a 3)))))))))
(pow a 4)
(* (pow a 4) (+ 1 (+ (* -1 (/ b a)) (/ b a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (+ (* -1 (/ (pow b 2) a)) (/ (pow b 2) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (* -1 (/ (+ (* -1 (+ (* -1 (pow b 2)) (pow b 2))) (+ (* -1 (/ (pow b 3) a)) (/ (pow b 3) a))) a))) a))))
(pow a 4)
(+ (* b (+ (* -1 (pow a 3)) (pow a 3))) (pow a 4))
(+ (* b (+ (* -1 (pow a 3)) (+ (* b (+ (* -1 (pow a 2)) (pow a 2))) (pow a 3)))) (pow a 4))
(+ (* b (+ (* -1 (pow a 3)) (+ (* b (+ (* -1 (pow a 2)) (+ (* b (+ a (* -1 a))) (pow a 2)))) (pow a 3)))) (pow a 4))
(* -1 (pow b 4))
(* (pow b 4) (- (+ (* -1 (/ a b)) (/ a b)) 1))
(* (pow b 4) (- (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (+ (/ a b) (/ (pow a 2) (pow b 2))))) 1))
(* (pow b 4) (- (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (+ (* -1 (/ (pow a 3) (pow b 3))) (+ (/ a b) (+ (/ (pow a 2) (pow b 2)) (/ (pow a 3) (pow b 3))))))) 1))
(* -1 (pow b 4))
(* (pow b 4) (- (* -1 (/ (+ a (* -1 a)) b)) 1))
(* (pow b 4) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (+ (* -1 (pow a 2)) (pow a 2)) b)))) b)) 1))
(* (pow b 4) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow a 3)) (pow a 3)) b)) (+ (* -1 (pow a 2)) (pow a 2))) b)))) b)) 1))
Outputs
4
#s(literal 4 binary64)
(+ 4 (* -4 a))
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))
(+ 4 (* a (- a 4)))
(fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64))
(+ 4 (* a (- a 4)))
(fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(*.f64 a (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a))))
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(*.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a))))
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(*.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a))))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(*.f64 a (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a))))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) a)) a)))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) a)) a)))
4
#s(literal 4 binary64)
(+ 4 (* -4 a))
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))
(+ 4 (* -4 a))
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))
(+ 4 (* -4 a))
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))
(* -4 a)
(*.f64 #s(literal -4 binary64) a)
(* a (- (* 4 (/ 1 a)) 4))
(*.f64 a (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)))
(* a (- (* 4 (/ 1 a)) 4))
(*.f64 a (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)))
(* a (- (* 4 (/ 1 a)) 4))
(*.f64 a (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)))
(* -4 a)
(*.f64 #s(literal -4 binary64) a)
(* -1 (* a (- 4 (* 4 (/ 1 a)))))
(neg.f64 (*.f64 a (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) a))))
(* -1 (* a (- 4 (* 4 (/ 1 a)))))
(neg.f64 (*.f64 a (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) a))))
(* -1 (* a (- 4 (* 4 (/ 1 a)))))
(neg.f64 (*.f64 a (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) a))))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(fma.f64 #s(literal 12 binary64) (*.f64 b b) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -1 binary64)))
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) #s(literal -1 binary64))
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(+.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -1 binary64)))
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(+.f64 (fma.f64 b (*.f64 b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))))) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -1 binary64)))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)) (*.f64 a (*.f64 a (*.f64 a a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
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(pow a 4)
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(* (pow a 4) (- 1 (* 4 (/ 1 a))))
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(pow b 4)
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(pow b 4)
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(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
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(- (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) 1)
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(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
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(pow a 4)
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(* (pow a 4) (- 1 (* 4 (/ 1 a))))
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(pow a 4)
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(* (pow a 4) (- 1 (* 4 (/ 1 a))))
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(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
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(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
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(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
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(pow a 4)
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(* (pow a 4) (- 1 (* 4 (/ 1 a))))
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(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
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(pow a 4)
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(* (pow a 4) (- 1 (* 4 (/ 1 a))))
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(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
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(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
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(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
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(pow b 4)
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(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
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(pow a 4)
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(pow b 4)
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(pow b 4)
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a
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1
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(pow a 4)
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(pow a 4)
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(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
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(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
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(pow b 4)
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(pow a 6)
(pow.f64 a #s(literal 6 binary64))
(* (pow a 6) (+ 1 (+ (* -1 (/ b a)) (/ b a))))
(pow.f64 a #s(literal 6 binary64))
(* (pow a 6) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (* 2 (/ (pow b 2) (pow a 2))) (/ b a))))))
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(pow a 6)
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(* (pow a 6) (+ 1 (+ (* -1 (/ b a)) (/ b a))))
(pow.f64 a #s(literal 6 binary64))
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(pow a 6)
(pow.f64 a #s(literal 6 binary64))
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(* -1 (pow b 6))
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(neg.f64 (pow.f64 b #s(literal 6 binary64)))
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(pow b 2)
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(+ (pow a 2) (pow b 2))
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(+ (pow a 2) (pow b 2))
(fma.f64 a a (*.f64 b b))
(+ (pow a 2) (pow b 2))
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(pow a 2)
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(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
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(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
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(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
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(pow a 2)
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(pow a 2)
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(pow b 2)
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(* 12 b)
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(+ (* 4 (* a b)) (* 12 b))
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(* 2 (* (pow a 2) b))
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(* (pow a 2) (+ (* 2 b) (* 4 (/ b a))))
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(* 2 (* (pow a 2) b))
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#s(literal -1 binary64)
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(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1)
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(* 3 (pow b 2))
(*.f64 b (*.f64 b #s(literal 3 binary64)))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* a (pow b 2))
(*.f64 a (*.f64 b b))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(*.f64 a (fma.f64 b b (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 b b) a))))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(*.f64 a (fma.f64 b b (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 b b) a))))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(*.f64 a (fma.f64 b b (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 b b) a))))
(* a (pow b 2))
(*.f64 a (*.f64 b b))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(*.f64 a (neg.f64 (-.f64 (*.f64 (/.f64 (*.f64 b b) a) #s(literal -3 binary64)) (*.f64 b b))))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(*.f64 a (neg.f64 (-.f64 (*.f64 (/.f64 (*.f64 b b) a) #s(literal -3 binary64)) (*.f64 b b))))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(*.f64 a (neg.f64 (-.f64 (*.f64 (/.f64 (*.f64 b b) a) #s(literal -3 binary64)) (*.f64 b b))))
(- (pow b 4) 1)
(fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -1 binary64))
(- (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) 1)
(fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) #s(literal -1 binary64))
(- (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) 1)
(fma.f64 b (*.f64 b (*.f64 b b)) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 #s(literal 2 binary64) (*.f64 b b))) #s(literal -1 binary64)))
(- (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) 1)
(fma.f64 b (*.f64 b (*.f64 b b)) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 #s(literal 2 binary64) (*.f64 b b))) #s(literal -1 binary64)))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))) (/ 1 (pow a 4))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))) (/ 1 (pow a 4))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))) (/ 1 (pow a 4))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))) (/ 1 (pow a 4))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (*.f64 a a)))))))
(- (pow a 4) 1)
(fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1 binary64))
(- (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 1)
(fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 #s(literal 2 binary64) (*.f64 b b))) #s(literal -1 binary64))
(- (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) 1)
(fma.f64 b (*.f64 b (*.f64 b b)) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 #s(literal 2 binary64) (*.f64 b b))) #s(literal -1 binary64)))
(- (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) 1)
(fma.f64 b (*.f64 b (*.f64 b b)) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 #s(literal 2 binary64) (*.f64 b b))) #s(literal -1 binary64)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))))
(/ -1 (pow b 2))
(/.f64 #s(literal -1 binary64) (*.f64 b b))
(- (* -1 (/ (pow a 2) (pow b 4))) (/ 1 (pow b 2)))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 a a) (*.f64 b b))) (*.f64 b b))
(- (* (pow a 2) (- (* -1 (/ (pow a 2) (pow b 6))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(fma.f64 (*.f64 a a) (neg.f64 (fma.f64 a (/.f64 a (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 #s(literal -1 binary64) (*.f64 b b)))
(- (* (pow a 2) (- (* (pow a 2) (- (* -1 (/ (pow a 2) (pow b 8))) (/ 1 (pow b 6)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (neg.f64 (fma.f64 a (/.f64 a (pow.f64 b #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) (*.f64 b b)))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(/ (+ 1 (* -1 (/ (+ b (* -1 b)) a))) (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow b 2)) (* -1 (pow (+ b (* -1 b)) 2))) (pow a 2)))) (+ (* -1 (/ b a)) (/ b a))) (pow a 2))
(/.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a a))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ b (* -1 b)) (+ (* -1 (pow b 2)) (* -1 (pow (+ b (* -1 b)) 2))))) (* (pow b 2) (+ b (* -1 b)))) (pow a 3)))) (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (* -1 (/ (pow (+ b (* -1 b)) 2) (pow a 2))) (/ b a))))) (pow a 2))
(/.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a a))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(/ (+ 1 (* -1 (/ (+ b (* -1 b)) a))) (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow b 2) a)) (* -1 (/ (pow (+ b (* -1 b)) 2) a))) (* -1 (+ b (* -1 b)))) a))) (pow a 2))
(/.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a a))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow b 2) (+ b (* -1 b))) a)) (/ (* (+ b (* -1 b)) (+ (* -1 (pow b 2)) (* -1 (pow (+ b (* -1 b)) 2)))) a)) (+ (* -1 (pow b 2)) (* -1 (pow (+ b (* -1 b)) 2)))) a)) (* -1 (+ b (* -1 b)))) a))) (pow a 2))
(/.f64 (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a a))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(+ (/ 1 (pow a 2)) (/ (pow b 2) (pow a 4)))
(fma.f64 b (/.f64 b (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(+ (* (pow b 2) (+ (/ 1 (pow a 4)) (/ (pow b 2) (pow a 6)))) (/ 1 (pow a 2)))
(fma.f64 (*.f64 b b) (fma.f64 b (/.f64 b (pow.f64 a #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(+ (* (pow b 2) (+ (* (pow b 2) (+ (/ 1 (pow a 6)) (/ (pow b 2) (pow a 8)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 b (/.f64 b (pow.f64 a #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(/ -1 (pow b 2))
(/.f64 #s(literal -1 binary64) (*.f64 b b))
(/ (- (* -1 (/ (+ a (* -1 a)) b)) 1) (pow b 2))
(/.f64 #s(literal -1 binary64) (*.f64 b b))
(/ (- (* -1 (/ (+ (pow a 2) (pow (+ a (* -1 a)) 2)) (pow b 2))) (+ 1 (+ (* -1 (/ a b)) (/ a b)))) (pow b 2))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 a a) (*.f64 b b))) (*.f64 b b))
(/ (- (* -1 (/ (+ (* (+ a (* -1 a)) (+ (pow a 2) (pow (+ a (* -1 a)) 2))) (* (pow a 2) (+ a (* -1 a)))) (pow b 3))) (+ 1 (+ (* -1 (/ a b)) (+ (/ a b) (+ (/ (pow a 2) (pow b 2)) (/ (pow (+ a (* -1 a)) 2) (pow b 2))))))) (pow b 2))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 a a) (*.f64 b b))) (*.f64 b b))
(/ -1 (pow b 2))
(/.f64 #s(literal -1 binary64) (*.f64 b b))
(/ (- (+ (* -1 (/ a b)) (/ a b)) 1) (pow b 2))
(/.f64 #s(literal -1 binary64) (*.f64 b b))
(/ (- (* -1 (/ (- (+ (/ (pow a 2) b) (/ (pow (+ a (* -1 a)) 2) b)) (+ a (* -1 a))) b)) 1) (pow b 2))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 a a) (*.f64 b b))) (*.f64 b b))
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ a (* -1 a)) (+ (pow a 2) (pow (+ a (* -1 a)) 2))) b) (/ (* (pow a 2) (+ a (* -1 a))) b)) (+ (pow a 2) (pow (+ a (* -1 a)) 2))) b)) (+ a (* -1 a))) b)) 1) (pow b 2))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 a a) (*.f64 b b))) (*.f64 b b))
(* -1 (pow b 4))
(neg.f64 (*.f64 b (*.f64 b (*.f64 b b))))
(+ (* -1 (pow b 4)) (* a (+ (* -1 (pow b 3)) (pow b 3))))
(neg.f64 (*.f64 b (*.f64 b (*.f64 b b))))
(+ (* -1 (pow b 4)) (* a (+ (* -1 (pow b 3)) (+ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)))))
(neg.f64 (*.f64 b (*.f64 b (*.f64 b b))))
(+ (* -1 (pow b 4)) (* a (+ (* -1 (pow b 3)) (+ (* a (+ (* -1 (pow b 2)) (+ (* a (+ b (* -1 b))) (pow b 2)))) (pow b 3)))))
(neg.f64 (*.f64 b (*.f64 b (*.f64 b b))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (+ (* -1 (/ b a)) (/ b a))))
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (/ b a) (/ (pow b 2) (pow a 2)))))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 b b) (*.f64 a (neg.f64 a))) (/.f64 (*.f64 b b) (*.f64 a a)))))
(* (pow a 4) (+ 1 (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (* -1 (/ (pow b 3) (pow a 3))) (+ (/ b a) (+ (/ (pow b 2) (pow a 2)) (/ (pow b 3) (pow a 3)))))))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 b a)))) (-.f64 (fma.f64 b (/.f64 (*.f64 b b) (*.f64 a (*.f64 a a))) (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 b a))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (+ (* -1 (/ b a)) (/ b a))))
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (+ (* -1 (/ (pow b 2) a)) (/ (pow b 2) a))) a))))
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* -1 (/ (+ (* -1 (+ b (* -1 b))) (* -1 (/ (+ (* -1 (+ (* -1 (pow b 2)) (pow b 2))) (+ (* -1 (/ (pow b 3) a)) (/ (pow b 3) a))) a))) a))))
(*.f64 a (*.f64 a (*.f64 a a)))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(+ (* b (+ (* -1 (pow a 3)) (pow a 3))) (pow a 4))
(*.f64 a (*.f64 a (*.f64 a a)))
(+ (* b (+ (* -1 (pow a 3)) (+ (* b (+ (* -1 (pow a 2)) (pow a 2))) (pow a 3)))) (pow a 4))
(*.f64 a (*.f64 a (*.f64 a a)))
(+ (* b (+ (* -1 (pow a 3)) (+ (* b (+ (* -1 (pow a 2)) (+ (* b (+ a (* -1 a))) (pow a 2)))) (pow a 3)))) (pow a 4))
(*.f64 a (*.f64 a (*.f64 a a)))
(* -1 (pow b 4))
(neg.f64 (*.f64 b (*.f64 b (*.f64 b b))))
(* (pow b 4) (- (+ (* -1 (/ a b)) (/ a b)) 1))
(neg.f64 (*.f64 b (*.f64 b (*.f64 b b))))
(* (pow b 4) (- (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (+ (/ a b) (/ (pow a 2) (pow b 2))))) 1))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal -1 binary64) (fma.f64 a (/.f64 a (*.f64 b b)) (neg.f64 (/.f64 (*.f64 a a) (*.f64 b b))))))
(* (pow b 4) (- (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (+ (* -1 (/ (pow a 3) (pow b 3))) (+ (/ a b) (+ (/ (pow a 2) (pow b 2)) (/ (pow a 3) (pow b 3))))))) 1))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (neg.f64 (fma.f64 a (/.f64 a (*.f64 b b)) (/.f64 a b))) (+.f64 (-.f64 (fma.f64 (*.f64 a a) (/.f64 a (*.f64 b (*.f64 b b))) (fma.f64 a (/.f64 a (*.f64 b b)) (/.f64 a b))) (/.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b)))) #s(literal -1 binary64))))
(* -1 (pow b 4))
(neg.f64 (*.f64 b (*.f64 b (*.f64 b b))))
(* (pow b 4) (- (* -1 (/ (+ a (* -1 a)) b)) 1))
(neg.f64 (*.f64 b (*.f64 b (*.f64 b b))))
(* (pow b 4) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (+ (* -1 (pow a 2)) (pow a 2)) b)))) b)) 1))
(neg.f64 (*.f64 b (*.f64 b (*.f64 b b))))
(* (pow b 4) (- (* -1 (/ (+ a (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow a 3)) (pow a 3)) b)) (+ (* -1 (pow a 2)) (pow a 2))) b)))) b)) 1))
(neg.f64 (*.f64 b (*.f64 b (*.f64 b b))))

rewrite387.0ms (3.7%)

Memory
-13.6MiB live, 311.9MiB allocated
Rules
6 386×lower-fma.f32
6 362×lower-fma.f64
4 118×lower-*.f32
4 096×lower-*.f64
3 540×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053407
093356
1479339
24171339
09420323
Stop Event
iter limit
node limit
iter limit
Counts
24 → 866
Calls
Call 1
Inputs
(fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)))
(fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))))
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
(*.f64 a (*.f64 a (*.f64 a a)))
(*.f64 a (*.f64 a a))
(*.f64 a a)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 a (*.f64 a (*.f64 a a))))
(fma.f64 (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))
(fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))))
(*.f64 a (-.f64 #s(literal 1 binary64) a))
(-.f64 #s(literal 1 binary64) a)
(fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal -1 binary64)))
(*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))))
(fma.f64 a a (*.f64 b b))
(*.f64 b b)
(*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b)))
(*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))
Outputs
(+.f64 #s(literal 4 binary64) (fma.f64 a a (*.f64 #s(literal -4 binary64) a)))
(+.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a))
(+.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) a) (+.f64 #s(literal 4 binary64) (*.f64 a a)))
(+.f64 (fma.f64 a a (*.f64 #s(literal -4 binary64) a)) #s(literal 4 binary64))
(+.f64 (fma.f64 a a #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) a))
(-.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1 binary64) a)) #s(literal 16 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))
(fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
(fma.f64 #s(literal 4 binary64) (neg.f64 a) (+.f64 #s(literal 4 binary64) (*.f64 a a)))
(fma.f64 (neg.f64 a) #s(literal 4 binary64) (+.f64 #s(literal 4 binary64) (*.f64 a a)))
(fma.f64 (neg.f64 a) (neg.f64 a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
(fma.f64 (*.f64 a a) #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 a a)))
(fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a))
(fma.f64 (fma.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a)) #s(literal 64 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 a a) #s(literal 16 binary64) #s(literal 16 binary64)) (*.f64 (neg.f64 a) #s(literal 16 binary64)))) (*.f64 a a))
(fma.f64 (fma.f64 (*.f64 a a) #s(literal 16 binary64) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) a #s(literal -4 binary64))) (*.f64 a a))
(fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a)))
(fma.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1 binary64) a))) #s(literal 64 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1 binary64) a))) #s(literal 64 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))))
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1 binary64) a))) #s(literal 64 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)))))
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1 binary64) a))) #s(literal 64 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1 binary64) a)) #s(literal 16 binary64) (-.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))))
(/.f64 (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1 binary64) a))) #s(literal 64 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))))) (neg.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1 binary64) a))) #s(literal 64 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))))) (neg.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1 binary64) a)) #s(literal 16 binary64) (-.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) (neg.f64 (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))
(/.f64 (fma.f64 (fma.f64 a a (*.f64 #s(literal -4 binary64) a)) (*.f64 (fma.f64 a a (*.f64 #s(literal -4 binary64) a)) (fma.f64 a a (*.f64 #s(literal -4 binary64) a))) #s(literal 64 binary64)) (fma.f64 (fma.f64 a a (*.f64 #s(literal -4 binary64) a)) (fma.f64 a a (*.f64 #s(literal -4 binary64) a)) (-.f64 #s(literal 16 binary64) (*.f64 (fma.f64 a a (*.f64 #s(literal -4 binary64) a)) #s(literal 4 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1 binary64) a)) #s(literal 16 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (-.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)))
(/.f64 (-.f64 (*.f64 (fma.f64 a a (*.f64 #s(literal -4 binary64) a)) (fma.f64 a a (*.f64 #s(literal -4 binary64) a))) #s(literal 16 binary64)) (-.f64 (fma.f64 a a (*.f64 #s(literal -4 binary64) a)) #s(literal 4 binary64)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1 binary64) a))) #s(literal 64 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))))) (neg.f64 (neg.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))) (neg.f64 (neg.f64 (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 a a (*.f64 #s(literal -4 binary64) a)) (*.f64 (fma.f64 a a (*.f64 #s(literal -4 binary64) a)) (fma.f64 a a (*.f64 #s(literal -4 binary64) a))) #s(literal 64 binary64))) (neg.f64 (fma.f64 (fma.f64 a a (*.f64 #s(literal -4 binary64) a)) (fma.f64 a a (*.f64 #s(literal -4 binary64) a)) (-.f64 #s(literal 16 binary64) (*.f64 (fma.f64 a a (*.f64 #s(literal -4 binary64) a)) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1 binary64) a)) #s(literal 16 binary64)) (*.f64 a (*.f64 a (*.f64 a a))))) (neg.f64 (-.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a))))
(/.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 a a (*.f64 #s(literal -4 binary64) a)) (fma.f64 a a (*.f64 #s(literal -4 binary64) a))) #s(literal 16 binary64))) (neg.f64 (-.f64 (fma.f64 a a (*.f64 #s(literal -4 binary64) a)) #s(literal 4 binary64))))
(pow.f64 (/.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1 binary64) a))) #s(literal 64 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1 binary64) a))) #s(literal 64 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a))))))
(*.f64 (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))
(+.f64 #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) a))
(+.f64 (*.f64 #s(literal -4 binary64) a) #s(literal 4 binary64))
(-.f64 #s(literal 4 binary64) (*.f64 a #s(literal 4 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64)) (fma.f64 #s(literal -4 binary64) a #s(literal -4 binary64))) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) a #s(literal -4 binary64))))
(fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))
(fma.f64 (neg.f64 a) #s(literal 4 binary64) #s(literal 4 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 a a) #s(literal 16 binary64) #s(literal 16 binary64)) (*.f64 (neg.f64 a) #s(literal 16 binary64))) (fma.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a)) #s(literal 64 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) a #s(literal -4 binary64)) (fma.f64 (*.f64 a a) #s(literal 16 binary64) #s(literal -16 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 a a) #s(literal 16 binary64) #s(literal 16 binary64)) (*.f64 (neg.f64 a) #s(literal 16 binary64))) (fma.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a)) #s(literal 64 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -4 binary64) a #s(literal -4 binary64)) (fma.f64 (*.f64 a a) #s(literal 16 binary64) #s(literal -16 binary64)))))
(/.f64 (fma.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a)) #s(literal 64 binary64)) (-.f64 (fma.f64 (*.f64 a a) #s(literal 16 binary64) #s(literal 16 binary64)) (*.f64 (neg.f64 a) #s(literal 16 binary64))))
(/.f64 (fma.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a)) #s(literal 64 binary64)) (+.f64 #s(literal 16 binary64) (-.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64)) (*.f64 (neg.f64 a) #s(literal 16 binary64)))))
(/.f64 (fma.f64 (*.f64 a a) #s(literal 16 binary64) #s(literal -16 binary64)) (fma.f64 #s(literal -4 binary64) a #s(literal -4 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a)) #s(literal 64 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 a a) #s(literal 16 binary64) #s(literal 16 binary64)) (*.f64 (neg.f64 a) #s(literal 16 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a)) #s(literal 64 binary64))) (neg.f64 (+.f64 #s(literal 16 binary64) (-.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64)) (*.f64 (neg.f64 a) #s(literal 16 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 a a) #s(literal 16 binary64) #s(literal -16 binary64))) (neg.f64 (fma.f64 #s(literal -4 binary64) a #s(literal -4 binary64))))
(/.f64 (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 a a) #s(literal 16 binary64))) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) a)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a)) #s(literal 64 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 a a) #s(literal 16 binary64) #s(literal 16 binary64)) (*.f64 (neg.f64 a) #s(literal 16 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 a a) #s(literal 16 binary64) #s(literal -16 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -4 binary64) a #s(literal -4 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 a a) #s(literal 16 binary64)))) (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) a))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 a a) #s(literal 16 binary64) #s(literal 16 binary64)) (*.f64 (neg.f64 a) #s(literal 16 binary64))) (fma.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a)) #s(literal 64 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal -4 binary64) a #s(literal -4 binary64)) (fma.f64 (*.f64 a a) #s(literal 16 binary64) #s(literal -16 binary64))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))
(*.f64 (fma.f64 #s(literal -64 binary64) (*.f64 a (*.f64 a a)) #s(literal 64 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 a a) #s(literal 16 binary64) #s(literal 16 binary64)) (*.f64 (neg.f64 a) #s(literal 16 binary64)))))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 16 binary64) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) a #s(literal -4 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (fma.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64))))
(+.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (*.f64 a a) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))))
(+.f64 (fma.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))
(+.f64 (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)))
(+.f64 (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (*.f64 a a)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))))
(+.f64 (fma.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (*.f64 a a) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(literal -1 binary64))
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(fma.f64 (*.f64 b b) (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (*.f64 a a) (*.f64 (+.f64 a b) (-.f64 a b))))
(fma.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a a))) (neg.f64 (*.f64 b (*.f64 b (*.f64 b b)))))
(fma.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (neg.f64 (*.f64 b b)) (*.f64 b b)))
(fma.f64 (*.f64 a a) (*.f64 a a) (neg.f64 (*.f64 b (*.f64 b (*.f64 b b)))))
(fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 (neg.f64 (*.f64 b b)) (*.f64 b b)))
(fma.f64 (*.f64 a a) (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (*.f64 b b) (*.f64 (+.f64 a b) (-.f64 a b))))
(fma.f64 (*.f64 a (*.f64 a a)) a (neg.f64 (*.f64 b (*.f64 b (*.f64 b b)))))
(fma.f64 (*.f64 a (*.f64 a a)) a (*.f64 (neg.f64 (*.f64 b b)) (*.f64 b b)))
(fma.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 b b) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 a a)))
(fma.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 a a) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 b b)))
(fma.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1 binary64) (neg.f64 (*.f64 b (*.f64 b (*.f64 b b)))))
(fma.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 b b)) (*.f64 b b)))
(fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (+.f64 a b)) a (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (+.f64 a b)) (neg.f64 b)))
(/.f64 (-.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))) (fma.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))))))
(/.f64 (-.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))))
(/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)))))
(/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (*.f64 (+.f64 a b) (-.f64 a b)))
(/.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (+.f64 a b)) (*.f64 (fma.f64 a a (*.f64 b (+.f64 a b))) (-.f64 a b))) (fma.f64 a a (*.f64 b (+.f64 a b))))
(/.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (+.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b))) (+.f64 a b))
(/.f64 (*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)))))
(/.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (+.f64 a b) (-.f64 a b)))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))))) (neg.f64 (fma.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b)))))) (neg.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))))) (neg.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))))) (neg.f64 (*.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (+.f64 a b)) (*.f64 (fma.f64 a a (*.f64 b (+.f64 a b))) (-.f64 a b)))) (neg.f64 (fma.f64 a a (*.f64 b (+.f64 a b)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (+.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (neg.f64 (+.f64 a b)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) (*.f64 (+.f64 a b) (-.f64 a b)))) (neg.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (+.f64 a b) (-.f64 a b)))) (neg.f64 (*.f64 (+.f64 a b) (-.f64 a b))))
(*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))
(*.f64 (+.f64 a b) (*.f64 (-.f64 a b) (fma.f64 a a (*.f64 b b))))
(*.f64 (-.f64 a b) (*.f64 (fma.f64 a a (*.f64 b b)) (+.f64 a b)))
(*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a a (*.f64 b b)))
(*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (+.f64 a b)) (-.f64 a b))
(*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (-.f64 a b)) (+.f64 a b))

eval284.0ms (2.7%)

Memory
28.8MiB live, 406.4MiB allocated
Compiler

Compiled 94 263 to 3 443 computations (96.3% saved)

prune284.0ms (2.8%)

Memory
-34.9MiB live, 406.4MiB allocated
Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New1 890101 900
Fresh549
Picked325
Done000
Total1 898161 914
Accuracy
100.0%
Counts
1 914 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
43.7%
(fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 #s(literal 4 binary64) #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal -1 binary64)))
97.8%
(fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))
32.5%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 a (*.f64 a (*.f64 a a))))) (fma.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 a (*.f64 a (*.f64 a a)))) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal -1 binary64))))
73.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))))
71.8%
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
71.6%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1 binary64))
67.1%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
62.3%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (/.f64 (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) #s(literal -1 binary64))))
62.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 a (*.f64 a (*.f64 a a))))))
53.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 a (*.f64 a (*.f64 a a)) (fma.f64 (*.f64 a a) (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64))))
46.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 a #s(literal 4 binary64)))
46.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
41.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))
46.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
73.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))))
50.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64))))
Compiler

Compiled 664 to 316 computations (52.4% saved)

simplify307.0ms (3%)

Memory
19.4MiB live, 339.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff128
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
cost-diff128
(+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
cost-diff128
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
cost-diff1088
(/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))
cost-diff0
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))
cost-diff0
(*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
cost-diff0
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 a (*.f64 a (*.f64 a a)))))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 a (*.f64 a (*.f64 a a))))))
cost-diff0
(fma.f64 b b #s(literal 12 binary64))
cost-diff0
(*.f64 b b)
cost-diff0
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
cost-diff0
(*.f64 b b)
cost-diff0
(fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64))
cost-diff0
#s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64)))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64))))
cost-diff0
(*.f64 b #s(literal 3 binary64))
cost-diff0
(*.f64 b (*.f64 b #s(literal 3 binary64)))
cost-diff0
#s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64))))
cost-diff0
(fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))
Rules
18 090×lower-fma.f32
18 072×lower-fma.f64
4 858×lower-+.f32
4 852×lower-+.f64
3 312×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071585
0105560
1224533
2558523
31445523
42630523
54585523
67482523
08042497
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))
#s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64))))
(*.f64 b (*.f64 b #s(literal 3 binary64)))
b
(*.f64 b #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 4 binary64)
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))
(fma.f64 a a (*.f64 b b))
a
(*.f64 b b)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64))))
#s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64)))
(fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64))
#s(literal 12 binary64)
(*.f64 b b)
b
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
(*.f64 b b)
b
(fma.f64 b b #s(literal 12 binary64))
#s(literal 12 binary64)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 a (*.f64 a (*.f64 a a))))))
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 a (*.f64 a (*.f64 a a)))))
b
(*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))
a
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 12 binary64)
#s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 a (*.f64 a (*.f64 a a))))
(*.f64 a (*.f64 a (*.f64 a a)))
(*.f64 a (*.f64 a a))
(*.f64 a a)
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
(+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
(/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))
(fma.f64 a a (*.f64 b b))
a
(*.f64 b b)
b
(/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))
#s(literal 1 binary64)
(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))
#s(literal 4 binary64)
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a))
(*.f64 a a)
(-.f64 #s(literal 1 binary64) a)
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
(+.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
Outputs
(fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))
#s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64))))
(*.f64 b (*.f64 b #s(literal 3 binary64)))
b
(*.f64 b #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 4 binary64)
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))
(fma.f64 a a (*.f64 b b))
a
(*.f64 b b)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))))
#s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64)))
#s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)))
(fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64))
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))
#s(literal 12 binary64)
(*.f64 b b)
b
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
(*.f64 b b)
b
(fma.f64 b b #s(literal 12 binary64))
#s(literal 12 binary64)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 a (*.f64 a (*.f64 a a))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 a (*.f64 a (*.f64 a a))))))
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 a (*.f64 a (*.f64 a a)))))
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 a (*.f64 a (*.f64 a a)))))
b
(*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
(*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))
(fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))
a
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64))
(fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 12 binary64)
#s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 a (*.f64 a (*.f64 a a))))
(*.f64 a (*.f64 a (*.f64 a a)))
(*.f64 a (*.f64 a a))
(*.f64 a a)
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)) (*.f64 a (-.f64 a (*.f64 a a)))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))
(+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
(fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)) (*.f64 a (-.f64 a (*.f64 a a)))) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))))
(/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))
(*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))
(fma.f64 a a (*.f64 b b))
a
(*.f64 b b)
b
(/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))
#s(literal 1 binary64)
(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))
(*.f64 #s(literal 4 binary64) (fma.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)) (*.f64 a (-.f64 a (*.f64 a a)))))
#s(literal 4 binary64)
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
(fma.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)) (*.f64 a (-.f64 a (*.f64 a a))))
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a))
(*.f64 a (-.f64 a (*.f64 a a)))
(*.f64 a a)
(-.f64 #s(literal 1 binary64) a)
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(+.f64 #s(literal 3 binary64) a)
(+.f64 a #s(literal 3 binary64))
#s(literal 3 binary64)

localize162.0ms (1.6%)

Memory
18.4MiB live, 257.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.6714676049342692
(/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))
accuracy3.707627724395556
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
accuracy7.8437149091134994
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
accuracy10.78515625
(+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
accuracy0.10546875
(*.f64 a (*.f64 a a))
accuracy3.3987682463460294
(*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
accuracy6.34755973023317
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 a (*.f64 a (*.f64 a a))))))
accuracy31.529893460290452
#s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 a (*.f64 a (*.f64 a a))))
accuracy0
(fma.f64 b b #s(literal 12 binary64))
accuracy0
(*.f64 b b)
accuracy0.09765625
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
accuracy21.02594666338071
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
accuracy0
(*.f64 b b)
accuracy0.08984375
(fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64))
accuracy6.34755973023317
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64))))
accuracy25.982378031899607
#s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64)))
accuracy0.09994125976844202
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))
accuracy0.16015625
(*.f64 b (*.f64 b #s(literal 3 binary64)))
accuracy10.78125
(fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))
accuracy35.228892233945366
#s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64))))
Samples
79.0ms240×0valid
8.0ms2valid
7.0ms11×1valid
Compiler

Compiled 503 to 58 computations (88.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-mult: 34.0ms (50% of total)
ival-add: 19.0ms (28% of total)
ival-sub: 4.0ms (5.9% of total)
ival-pow2: 4.0ms (5.9% of total)
ival-div: 3.0ms (4.4% of total)
adjust: 2.0ms (2.9% of total)
exact: 1.0ms (1.5% of total)
ival-neg: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series32.0ms (0.3%)

Memory
-26.0MiB live, 48.6MiB allocated
Counts
24 → 468
Calls
Call 1
Inputs
#s(alt (fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) (patch (fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) (patch #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 b (*.f64 b #s(literal 3 binary64))) (patch (*.f64 b (*.f64 b #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 b #s(literal 3 binary64)) (patch (*.f64 b #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64))) (patch #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64)) (patch (fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 b b #s(literal 12 binary64)) (patch (fma.f64 b b #s(literal 12 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 a (*.f64 a (*.f64 a a)))))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 a (*.f64 a (*.f64 a a)))))) #<representation binary64>) () ())
#s(alt (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 a (*.f64 a (*.f64 a a))))) (patch (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 a (*.f64 a (*.f64 a a))))) #<representation binary64>) () ())
#s(alt (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (patch (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (patch (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) (patch (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #<representation binary64>) () ())
#s(alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) (patch (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 a (*.f64 a (*.f64 a a)))) (patch #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 a (*.f64 a (*.f64 a a)))) #<representation binary64>) () ())
#s(alt (*.f64 a (*.f64 a a)) (patch (*.f64 a (*.f64 a a)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) (patch (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) #<representation binary64>) () ())
Outputs
#s(alt (- (+ (* 12 (pow b 2)) (pow b 4)) 1) (taylor 0 a) (#s(alt (fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) (patch (fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) (taylor 0 a) (#s(alt (fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) (patch (fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) (taylor 0 a) (#s(alt (fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) (patch (fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) (taylor 0 a) (#s(alt (fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) (patch (fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor inf a) (#s(alt (fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) (patch (fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (- 1 (* 4 (/ 1 a)))) (taylor inf a) (#s(alt (fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) (patch (fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a)))) (taylor inf a) (#s(alt (fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) (patch (fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a)))) (taylor inf a) (#s(alt (fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) (patch (fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor -inf a) (#s(alt (fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) (patch (fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (- 1 (* 4 (/ 1 a)))) (taylor -inf a) (#s(alt (fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) (patch (fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a)))) (taylor -inf a) (#s(alt (fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) (patch (fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a)))) (taylor -inf a) (#s(alt (fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) (patch (fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) (taylor 0 b) (#s(alt (fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) (patch (fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1) (taylor 0 b) (#s(alt (fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) (patch (fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt (fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) (patch (fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1) (taylor 0 b) (#s(alt (fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) (patch (fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow b 4) (taylor inf b) (#s(alt (fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) (patch (fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) (taylor inf b) (#s(alt (fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) (patch (fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) (taylor inf b) (#s(alt (fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) (patch (fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) (taylor inf b) (#s(alt (fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) (patch (fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow b 4) (taylor -inf b) (#s(alt (fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) (patch (fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2)))))) (taylor -inf b) (#s(alt (fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) (patch (fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) (taylor -inf b) (#s(alt (fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) (patch (fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) (taylor -inf b) (#s(alt (fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) (patch (fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow b 2)) (taylor 0 a) (#s(alt #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) (patch #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow b 2)) (* a (pow b 2))) (taylor 0 a) (#s(alt #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) (patch #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow b 2)) (* a (+ a (pow b 2)))) (taylor 0 a) (#s(alt #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) (patch #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2)))) (taylor 0 a) (#s(alt #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) (patch #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow a 3)) (taylor inf a) (#s(alt #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) (patch #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 3) (- (/ 1 a) 1)) (taylor inf a) (#s(alt #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) (patch #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1)) (taylor inf a) (#s(alt #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) (patch #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1)) (taylor inf a) (#s(alt #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) (patch #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow a 3)) (taylor -inf a) (#s(alt #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) (patch #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow a 3) (- 1 (/ 1 a)))) (taylor -inf a) (#s(alt #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) (patch #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a))))) (taylor -inf a) (#s(alt #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) (patch #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a))))) (taylor -inf a) (#s(alt #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) (patch #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
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Calls

117 calls:

TimeVariablePointExpression
3.0ms
b
@0
(* b 3)
0.0ms
b
@inf
(* b (* b 3))
0.0ms
b
@inf
(/ 1 (+ (* a a) (* b b)))
0.0ms
a
@inf
(/ 1 (+ (* a a) (* b b)))
0.0ms
a
@0
(/ 1 (+ (* a a) (* b b)))

simplify321.0ms (3.1%)

Memory
-17.2MiB live, 402.3MiB allocated
Algorithm
egg-herbie
Rules
15 822×lower-fma.f64
15 822×lower-fma.f32
5 120×lower-+.f64
5 120×lower-+.f32
4 502×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03637786
110987514
232477237
081176627
Stop Event
iter limit
node limit
Counts
468 → 468
Calls
Call 1
Inputs
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* 3 (pow b 2))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(+ (* 3 (pow b 2)) (* a (+ a (pow b 2))))
(+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2))))
(* -1 (pow a 3))
(* (pow a 3) (- (/ 1 a) 1))
(* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1))
(* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1))
(* -1 (pow a 3))
(* -1 (* (pow a 3) (- 1 (/ 1 a))))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a)))))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a)))))
(* (pow a 2) (- 1 a))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* 3 (pow b 2))
(* 3 (pow b 2))
(* 3 (pow b 2))
(* 3 (pow b 2))
(* 3 (pow b 2))
(* 3 (pow b 2))
(* 3 (pow b 2))
(* 3 (pow b 2))
(* 3 (pow b 2))
(* 3 (pow b 2))
(* 3 (pow b 2))
(* 3 (pow b 2))
(* 3 b)
(* 3 b)
(* 3 b)
(* 3 b)
(* 3 b)
(* 3 b)
(* 3 b)
(* 3 b)
(* 3 b)
(* 3 b)
(* 3 b)
(* 3 b)
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(- (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(- (* 12 (pow b 2)) 1)
(- (+ (* 4 (* a (pow b 2))) (* 12 (pow b 2))) 1)
(- (+ (* 12 (pow b 2)) (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))))) 1)
(- (+ (* 12 (pow b 2)) (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2)))))))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
-1
(- (* 12 (pow b 2)) 1)
(- (* 12 (pow b 2)) 1)
(- (* 12 (pow b 2)) 1)
(* 12 (pow b 2))
(* (pow b 2) (- 12 (/ 1 (pow b 2))))
(* (pow b 2) (- 12 (/ 1 (pow b 2))))
(* (pow b 2) (- 12 (/ 1 (pow b 2))))
(* 12 (pow b 2))
(* (pow b 2) (- 12 (/ 1 (pow b 2))))
(* (pow b 2) (- 12 (/ 1 (pow b 2))))
(* (pow b 2) (- 12 (/ 1 (pow b 2))))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
-1
(- (* 12 (pow b 2)) 1)
(- (* (pow b 2) (+ 12 (pow b 2))) 1)
(- (* (pow b 2) (+ 12 (pow b 2))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
12
(+ 12 (pow b 2))
(+ 12 (pow b 2))
(+ 12 (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(- (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 2)))) (/ 1 (pow b 2))))
(- (* 12 (pow b 2)) 1)
(- (+ (* 4 (* a (pow b 2))) (* 12 (pow b 2))) 1)
(- (+ (* 12 (pow b 2)) (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))))) 1)
(- (+ (* 12 (pow b 2)) (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2)))))))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* 12 b)
(+ (* 4 (* a b)) (* 12 b))
(+ (* 12 b) (* a (+ (* 2 (* a b)) (* 4 b))))
(+ (* 12 b) (* a (+ (* 2 (* a b)) (* 4 b))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* 2 b) (* 4 (/ b a))))
(* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (* 12 (/ b (pow a 2))))))
(* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (* 12 (/ b (pow a 2))))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* 2 b) (* 4 (/ b a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -12 (/ b a)) (* -4 b)) a)) (* 2 b)))
(* (pow a 2) (+ (* -1 (/ (+ (* -12 (/ b a)) (* -4 b)) a)) (* 2 b)))
12
(+ 12 (* 4 a))
(+ 12 (* a (+ 4 (* 2 a))))
(+ 12 (* a (+ 4 (* 2 a))))
(* 2 (pow a 2))
(* (pow a 2) (+ 2 (* 4 (/ 1 a))))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (/ 12 (pow a 2)))))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (/ 12 (pow a 2)))))
(* 2 (pow a 2))
(* (pow a 2) (+ 2 (* 4 (/ 1 a))))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (/ 12 (pow a 2)))))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (/ 12 (pow a 2)))))
(pow b 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(pow a 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(+ (* 12 (pow b 2)) (pow b 4))
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4)))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* 3 (pow b 2))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(+ (* 3 (pow b 2)) (* a (+ a (pow b 2))))
(+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2))))
(* -1 (pow a 3))
(* (pow a 3) (- (/ 1 a) 1))
(* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1))
(* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1))
(* -1 (pow a 3))
(* -1 (* (pow a 3) (- 1 (/ 1 a))))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a)))))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a)))))
(* (pow a 2) (- 1 a))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(- (pow b 4) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) 1)
(- (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) 1)
(- (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))) (/ 1 (pow a 4))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))) (/ 1 (pow a 4))))
(- (pow a 4) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) 1)
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))) (/ 1 (pow b 4))))
-1
(- (* 4 (pow a 2)) 1)
(- (* (pow a 2) (+ 4 (* -4 a))) 1)
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4)))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a))))
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* 3 (pow b 2))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(* a (pow b 2))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(* a (pow b 2))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(/ 1 (pow b 2))
(+ (* -1 (/ (pow a 2) (pow b 4))) (/ 1 (pow b 2)))
(+ (* (pow a 2) (- (/ (pow a 2) (pow b 6)) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(+ (* (pow a 2) (- (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow b 8))) (/ 1 (pow b 6)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(/ 1 (pow a 2))
(/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))
(/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ 1 (pow a 2))
(/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))
(/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ 1 (pow a 2))
(+ (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))
(+ (* (pow b 2) (- (/ (pow b 2) (pow a 6)) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(+ (* (pow b 2) (- (* (pow b 2) (+ (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(/ 1 (pow b 2))
(/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2))
(/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ 1 (pow b 2))
(/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2))
(/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2))
Outputs
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal -1 binary64))
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(fma.f64 a (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) a)) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)))
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(+.f64 (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) (*.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 a a))) #s(literal -1 binary64))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 4 binary64)) a)) a)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))
(* 3 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 3 binary64))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(+ (* 3 (pow b 2)) (* a (+ a (pow b 2))))
(fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a a))
(+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2))))
(fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (-.f64 a (*.f64 a a))))
(* -1 (pow a 3))
(neg.f64 (*.f64 a (*.f64 a a)))
(* (pow a 3) (- (/ 1 a) 1))
(*.f64 (*.f64 a a) (fma.f64 a (/.f64 #s(literal 1 binary64) a) (neg.f64 a)))
(* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1))
(*.f64 (*.f64 a a) (fma.f64 a (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 1 binary64) a)) (neg.f64 a)))
(* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1))
(*.f64 (*.f64 a a) (fma.f64 a (fma.f64 (+.f64 (/.f64 #s(literal 3 binary64) a) #s(literal 1 binary64)) (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 #s(literal 1 binary64) a)) (neg.f64 a)))
(* -1 (pow a 3))
(neg.f64 (*.f64 a (*.f64 a a)))
(* -1 (* (pow a 3) (- 1 (/ 1 a))))
(*.f64 (*.f64 a a) (neg.f64 (fma.f64 a (/.f64 #s(literal -1 binary64) a) a)))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a)))))
(*.f64 (*.f64 a a) (neg.f64 (fma.f64 a (neg.f64 (/.f64 (fma.f64 b (/.f64 b a) #s(literal 1 binary64)) a)) a)))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a)))))
(*.f64 (neg.f64 (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b b) a) #s(literal -3 binary64)) (*.f64 b b)) a)) a)))
(* (pow a 2) (- 1 a))
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(pow b 4)
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(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))) (/ 1 (pow a 4))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (*.f64 a a))))))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))) (/ 1 (pow a 4))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (*.f64 a a))))))))
(- (pow a 4) 1)
(fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1 binary64))
(- (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 1)
(fma.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64))
(- (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) 1)
(fma.f64 b (*.f64 b (*.f64 b b)) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64)))
(- (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) 1)
(fma.f64 b (*.f64 b (*.f64 b b)) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))) (-.f64 (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))
-1
#s(literal -1 binary64)
(- (* 4 (pow a 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(- (* (pow a 2) (+ 4 (* -4 a))) 1)
(fma.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) #s(literal -1 binary64))
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1)
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a)))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (*.f64 a a))))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a a))) a)) a)))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* 3 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 3 binary64))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* a (pow b 2))
(*.f64 (*.f64 b b) a)
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(*.f64 a (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) a))))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(*.f64 a (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) a))))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(*.f64 a (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) a))))
(* a (pow b 2))
(*.f64 (*.f64 b b) a)
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(*.f64 a (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) a))))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(*.f64 a (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) a))))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(*.f64 a (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) a))))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(+ (* -1 (/ (pow a 2) (pow b 4))) (/ 1 (pow b 2)))
(/.f64 (fma.f64 (neg.f64 a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b))
(+ (* (pow a 2) (- (/ (pow a 2) (pow b 6)) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(fma.f64 (*.f64 a a) (fma.f64 a (/.f64 a (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(+ (* (pow a 2) (- (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow b 8))) (/ 1 (pow b 6)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 (neg.f64 a) (/.f64 a (pow.f64 b #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a a))
(/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))
(/.f64 (-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) (*.f64 a a))
(/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (-.f64 (-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (*.f64 a a))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a a))
(/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))
(/.f64 (-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) (*.f64 a a))
(/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (-.f64 (-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (*.f64 a a))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(+ (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))
(/.f64 (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a a))
(+ (* (pow b 2) (- (/ (pow b 2) (pow a 6)) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(fma.f64 (*.f64 b b) (fma.f64 b (/.f64 b (pow.f64 a #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(+ (* (pow b 2) (- (* (pow b 2) (+ (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 6 binary64))) (/.f64 (*.f64 b b) (pow.f64 a #s(literal 8 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/.f64 (fma.f64 (neg.f64 a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a a) (*.f64 b b)))) (*.f64 b b))
(/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2))
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (-.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a a) (*.f64 b b)))) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/.f64 (fma.f64 (neg.f64 a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a a) (*.f64 b b)))) (*.f64 b b))
(/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2))
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (-.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a a) (*.f64 b b)))) (*.f64 b b))

rewrite314.0ms (3%)

Memory
32.5MiB live, 383.4MiB allocated
Rules
7 262×lower-*.f32
7 242×lower-*.f64
4 914×lower-fma.f32
4 896×lower-fma.f64
3 788×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071496
0105473
1484448
24217448
011268409
Stop Event
iter limit
node limit
iter limit
Counts
24 → 467
Calls
Call 1
Inputs
(fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))
#s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64))))
(*.f64 b (*.f64 b #s(literal 3 binary64)))
(*.f64 b #s(literal 3 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64))))
#s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64)))
(fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64))
(*.f64 b b)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
(fma.f64 b b #s(literal 12 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 a (*.f64 a (*.f64 a a))))))
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 a (*.f64 a (*.f64 a a)))))
(*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))
(/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
(+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))
#s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 a (*.f64 a (*.f64 a a))))
(*.f64 a (*.f64 a a))
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
(/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))
Outputs
(+.f64 #s(literal -1 binary64) (fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #s(literal 4 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))))
(+.f64 (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)) (*.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #s(literal 4 binary64)))
(+.f64 (*.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))
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(/.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))) #s(literal -1 binary64))) (neg.f64 (-.f64 (fma.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))) #s(literal 1 binary64)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))) #s(literal -1 binary64))) (neg.f64 (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))))) (-.f64 #s(literal -1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal 1 binary64))) (*.f64 (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal 1 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal 1 binary64))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))) #s(literal 1 binary64)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))) (fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal 1 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))) #s(literal 1 binary64)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))))
(*.f64 (fma.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal 1 binary64))))
(*.f64 (fma.f64 a a (fma.f64 b b #s(literal 1 binary64))) (+.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))
(*.f64 (+.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)) (fma.f64 a a (fma.f64 b b #s(literal 1 binary64))))
#s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 a (*.f64 a (*.f64 a a))))
(exp.f64 (*.f64 (log.f64 a) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 a)) #s(literal 3/2 binary64)))
(pow.f64 a #s(literal 3 binary64))
(pow.f64 (*.f64 a a) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 a #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 3 binary64))
(*.f64 a (*.f64 a a))
(*.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a)))
(*.f64 (*.f64 a a) a)
(*.f64 (*.f64 a (*.f64 a a)) #s(literal 1 binary64))
(*.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)))
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 b b)) (*.f64 a (*.f64 b b)))
(+.f64 (*.f64 a (*.f64 b b)) (*.f64 #s(literal 3 binary64) (*.f64 b b)))
(fma.f64 a (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 b b)))
(fma.f64 b (*.f64 b #s(literal 3 binary64)) (*.f64 a (*.f64 b b)))
(fma.f64 b (*.f64 a b) (*.f64 #s(literal 3 binary64) (*.f64 b b)))
(fma.f64 #s(literal 3 binary64) (*.f64 b b) (*.f64 a (*.f64 b b)))
(fma.f64 (*.f64 b #s(literal 3 binary64)) b (*.f64 a (*.f64 b b)))
(fma.f64 (*.f64 b b) a (*.f64 #s(literal 3 binary64) (*.f64 b b)))
(fma.f64 (*.f64 b b) #s(literal 3 binary64) (*.f64 a (*.f64 b b)))
(fma.f64 (*.f64 a b) b (*.f64 #s(literal 3 binary64) (*.f64 b b)))
(/.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 27 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))) (fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 b b)) (*.f64 #s(literal 3 binary64) (*.f64 b b)) (-.f64 (*.f64 (*.f64 a (*.f64 b b)) (*.f64 a (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 b b)) (*.f64 a (*.f64 b b))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 b b)) (*.f64 #s(literal 3 binary64) (*.f64 b b))) (*.f64 (*.f64 a (*.f64 b b)) (*.f64 a (*.f64 b b)))) (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 b b)) (*.f64 a (*.f64 b b))))
(/.f64 (*.f64 (*.f64 b b) (fma.f64 a (*.f64 a a) #s(literal 27 binary64))) (-.f64 (fma.f64 a a #s(literal 9 binary64)) (*.f64 a #s(literal 3 binary64))))
(/.f64 (*.f64 (*.f64 b b) (fma.f64 a (*.f64 a a) #s(literal 27 binary64))) (fma.f64 a (+.f64 a #s(literal -3 binary64)) #s(literal 9 binary64)))
(/.f64 (*.f64 (*.f64 b b) (fma.f64 a a #s(literal -9 binary64))) (+.f64 a #s(literal -3 binary64)))
(/.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 9 binary64) (*.f64 a a))) (-.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal 27 binary64)) (*.f64 b b)) (-.f64 (fma.f64 a a #s(literal 9 binary64)) (*.f64 a #s(literal 3 binary64))))
(/.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal 27 binary64)) (*.f64 b b)) (fma.f64 a (+.f64 a #s(literal -3 binary64)) #s(literal 9 binary64)))
(/.f64 (*.f64 (fma.f64 a a #s(literal -9 binary64)) (*.f64 b b)) (+.f64 a #s(literal -3 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 a a)) (*.f64 b b)) (-.f64 #s(literal 3 binary64) a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(*.f64 (*.f64 b (+.f64 a #s(literal 3 binary64))) b)
(*.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)))
(*.f64 (+.f64 a #s(literal 3 binary64)) (*.f64 b b))
(exp.f64 (*.f64 (log.f64 (fma.f64 a a (*.f64 b b))) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (log.f64 (fma.f64 a a (*.f64 b b)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a a (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 a a (*.f64 b b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 a a (*.f64 b b))))
(pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) #s(literal 1 binary64))
(pow.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (neg.f64 (fma.f64 a a (*.f64 b b)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 a a (*.f64 b b))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) #s(literal 1 binary64))
(*.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (*.f64 (+.f64 a b) (-.f64 a b)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 a a (*.f64 b b))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (fma.f64 a a (*.f64 b b))) #s(literal -1 binary64)))

eval184.0ms (1.8%)

Memory
-3.9MiB live, 231.1MiB allocated
Compiler

Compiled 39 016 to 2 021 computations (94.8% saved)

prune151.0ms (1.5%)

Memory
-15.7MiB live, 224.7MiB allocated
Pruning

19 alts after pruning (16 fresh and 3 done)

PrunedKeptTotal
New1 032111 043
Fresh459
Picked415
Done022
Total1 040191 059
Accuracy
100.0%
Counts
1 059 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.7%
(fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) #s(approx (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64))))
97.9%
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64))))) #s(literal 1 binary64))
71.7%
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (pow.f64 (sqrt.f64 (fma.f64 a a (*.f64 b b))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (fma.f64 a a (*.f64 b b))) #s(literal -1 binary64)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
71.6%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1 binary64))
67.1%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
44.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64)))) #s(literal -1 binary64)))
62.3%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (/.f64 (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) #s(literal -1 binary64))))
53.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b #s(approx (+ (* a (+ (* 2 a) 4)) 12) (*.f64 #s(literal 2 binary64) (*.f64 a a)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 a (*.f64 a (*.f64 a a))))))
46.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 a #s(literal 4 binary64)))
33.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (fma.f64 (*.f64 b b) (*.f64 (*.f64 b (fma.f64 b b #s(literal 12 binary64))) (*.f64 b (fma.f64 b b #s(literal 12 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) #s(literal 1 binary64)))))
46.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
41.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))
46.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
26.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64)))
58.1%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 b b)) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64))) #s(literal 12 binary64)) #s(literal -1 binary64))))
50.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 b #s(literal 12 binary64)) b #s(literal -1 binary64))))
73.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))))
73.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))))
25.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -1) (*.f64 #s(literal 12 binary64) (*.f64 b b)))))
Compiler

Compiled 694 to 337 computations (51.4% saved)

simplify305.0ms (3%)

Memory
-1.3MiB live, 444.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (/.f64 (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) #s(literal -1 binary64))))
cost-diff192
(fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
cost-diff320
(-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
cost-diff2176
(/.f64 (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))
cost-diff0
(*.f64 b #s(literal 3 binary64))
cost-diff0
(*.f64 b (*.f64 b #s(literal 3 binary64)))
cost-diff0
#s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64))))
cost-diff0
(fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) #s(approx (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64))))
cost-diff0
(*.f64 a a)
cost-diff0
(*.f64 (*.f64 a a) (*.f64 a a))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
cost-diff0
#s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64)))
cost-diff0
(fma.f64 a a (*.f64 b b))
cost-diff128
(+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64)))))
cost-diff128
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64))))) #s(literal 1 binary64))
cost-diff1088
(/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))
Rules
21 344×lower-fma.f32
21 324×lower-fma.f64
4 540×lower-+.f32
4 538×lower-+.f64
3 192×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064643
0101651
1232544
2597530
31651530
47135530
08018504
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64))))) #s(literal 1 binary64))
(+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64)))))
(/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))
(fma.f64 a a (*.f64 b b))
a
(*.f64 b b)
b
(/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))
#s(literal 1 binary64)
(*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64))))
#s(literal 4 binary64)
#s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64)))
(*.f64 (*.f64 b b) #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64)))
#s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
(*.f64 (*.f64 a a) (*.f64 a a))
(*.f64 a a)
a
(fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) #s(approx (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64))))
#s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64))))
(*.f64 b (*.f64 b #s(literal 3 binary64)))
b
(*.f64 b #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(approx (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64))
(*.f64 a a)
a
(fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a))
#s(literal 2 binary64)
(*.f64 b b)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (/.f64 (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) #s(literal -1 binary64))))
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (/.f64 (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) #s(literal -1 binary64)))
b
(*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))
a
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 12 binary64)
(fma.f64 (*.f64 a a) (/.f64 (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) #s(literal -1 binary64))
(*.f64 a a)
(/.f64 (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))
(*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))
(fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))
#s(literal -4 binary64)
(-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
#s(literal -1 binary64)
Outputs
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64))))) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))
(+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64)))))
(fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64))) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))))
(/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))
(*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))
(fma.f64 a a (*.f64 b b))
a
(*.f64 b b)
b
(/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))
#s(literal 1 binary64)
(*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64))))
#s(literal 4 binary64)
#s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64)))
(*.f64 (*.f64 b b) #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64)))
#s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
(*.f64 (*.f64 a a) (*.f64 a a))
(*.f64 a (*.f64 a (*.f64 a a)))
(*.f64 a a)
a
(fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) #s(approx (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64))))
(fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64))) #s(approx (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1) (fma.f64 a (*.f64 a (fma.f64 a a (*.f64 b (*.f64 b #s(literal 2 binary64))))) #s(literal -1 binary64))))
#s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64))))
#s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64)))
(*.f64 b (*.f64 b #s(literal 3 binary64)))
(*.f64 (*.f64 b b) #s(literal 3 binary64))
b
(*.f64 b #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(approx (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64)))
#s(approx (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1) (fma.f64 a (*.f64 a (fma.f64 a a (*.f64 b (*.f64 b #s(literal 2 binary64))))) #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64))
(fma.f64 a (*.f64 a (fma.f64 a a (*.f64 b (*.f64 b #s(literal 2 binary64))))) #s(literal -1 binary64))
(*.f64 a a)
a
(fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a))
(fma.f64 a a (*.f64 b (*.f64 b #s(literal 2 binary64))))
#s(literal 2 binary64)
(*.f64 b b)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (/.f64 (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) #s(literal -1 binary64))))
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (/.f64 (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) #s(literal -1 binary64)))
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) #s(literal -1 binary64)))
b
(*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
(*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))
(fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))
a
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64))
(fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 12 binary64)
(fma.f64 (*.f64 a a) (/.f64 (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 a a)
(/.f64 (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))
(*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))
(*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal -4 binary64)))
(fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))
(fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))
#s(literal -4 binary64)
(-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
(fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal -4 binary64))
#s(literal -1 binary64)

localize173.0ms (1.7%)

Memory
27.6MiB live, 372.7MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.08984375
(*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))
accuracy3.3987682463460294
(*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
accuracy6.34755973023317
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (/.f64 (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) #s(literal -1 binary64))))
accuracy20.80644472297984
(/.f64 (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))
accuracy5.556022093413466
(fma.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64))
accuracy10.78125
(fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) #s(approx (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64))))
accuracy12.17970386716605
#s(approx (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64)))
accuracy35.228892233945366
#s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64))))
accuracy0
(*.f64 a a)
accuracy0.14291000976844204
(*.f64 (*.f64 a a) (*.f64 a a))
accuracy34.0366315117217
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
accuracy21.02594666338071
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64)))
accuracy31.665170949226162
#s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64))
accuracy0.171875
(*.f64 (*.f64 b b) #s(literal 3 binary64))
accuracy0.6714676049342692
(/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))
accuracy10.78515625
(+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64)))))
accuracy35.228892233945366
#s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64)))
Samples
91.0ms240×0valid
9.0ms11×1valid
4.0ms2valid
Compiler

Compiled 563 to 63 computations (88.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-mult: 41.0ms (51.8% of total)
ival-add: 22.0ms (27.8% of total)
ival-div: 5.0ms (6.3% of total)
ival-sub: 5.0ms (6.3% of total)
adjust: 3.0ms (3.8% of total)
ival-pow2: 3.0ms (3.8% of total)
exact: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series29.0ms (0.3%)

Memory
-13.6MiB live, 60.9MiB allocated
Counts
24 → 456
Calls
Call 1
Inputs
#s(alt (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (patch (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64))))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64))))) (patch (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64))))) #<representation binary64>) () ())
#s(alt (fma.f64 a a (*.f64 b b)) (patch (fma.f64 a a (*.f64 b b)) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64)) (patch #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 a a) (*.f64 a a)) (patch (*.f64 (*.f64 a a) (*.f64 a a)) #<representation binary64>) () ())
#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) #s(approx (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64)))) (patch (fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) #s(approx (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) (patch #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 b (*.f64 b #s(literal 3 binary64))) (patch (*.f64 b (*.f64 b #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 b #s(literal 3 binary64)) (patch (*.f64 b #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (patch (/.f64 (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (patch (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (patch (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (/.f64 (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (/.f64 (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64))) (patch #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 b b) #s(literal 3 binary64)) (patch (*.f64 (*.f64 b b) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64))) (patch #s(approx (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (patch (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (patch (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) #<representation binary64>) () ())
Outputs
#s(alt (pow b 4) (taylor 0 a) (#s(alt (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (patch (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) (taylor 0 a) (#s(alt (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (patch (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) (taylor 0 a) (#s(alt (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (patch (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) (taylor 0 a) (#s(alt (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (patch (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor inf a) (#s(alt (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (patch (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) (taylor inf a) (#s(alt (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (patch (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) (taylor inf a) (#s(alt (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (patch (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) (taylor inf a) (#s(alt (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (patch (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor -inf a) (#s(alt (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (patch (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (patch (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (patch (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (patch (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor 0 b) (#s(alt (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (patch (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (taylor 0 b) (#s(alt (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (patch (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) (taylor 0 b) (#s(alt (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (patch (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) (taylor 0 b) (#s(alt (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (patch (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (pow b 4) (taylor inf b) (#s(alt (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (patch (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) (taylor inf b) (#s(alt (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (patch (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) (taylor inf b) (#s(alt (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (patch (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) (taylor inf b) (#s(alt (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (patch (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (pow b 4) (taylor -inf b) (#s(alt (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (patch (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) (taylor -inf b) (#s(alt (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (patch (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) (taylor -inf b) (#s(alt (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (patch (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) (taylor -inf b) (#s(alt (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (patch (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 12 (pow b 2)) (pow b 4)) 1) (taylor 0 a) (#s(alt (-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64))))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) (taylor 0 a) (#s(alt (-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64))))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1) (taylor 0 a) (#s(alt (-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64))))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1) (taylor 0 a) (#s(alt (-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64))))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor inf a) (#s(alt (-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64))))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (- (* a (+ 32 (* a (- (pow a 2) 16)))) 16) (taylor 0 a) (#s(alt (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (patch (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor inf a) (#s(alt (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (patch (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (- 1 (* 16 (/ 1 (pow a 2))))) (taylor inf a) (#s(alt (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (patch (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (- (+ 1 (/ 32 (pow a 3))) (* 16 (/ 1 (pow a 2))))) (taylor inf a) (#s(alt (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (patch (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (- (+ 1 (/ 32 (pow a 3))) (+ (* 16 (/ 1 (pow a 2))) (* 16 (/ 1 (pow a 4)))))) (taylor inf a) (#s(alt (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (patch (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor -inf a) (#s(alt (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (patch (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (- 1 (* 16 (/ 1 (pow a 2))))) (taylor -inf a) (#s(alt (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (patch (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (- (+ 1 (/ 32 (pow a 3))) (* 16 (/ 1 (pow a 2))))) (taylor -inf a) (#s(alt (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (patch (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (- (+ 1 (* -1 (/ (- (* 16 (/ 1 a)) 32) (pow a 3)))) (* 16 (/ 1 (pow a 2))))) (taylor -inf a) (#s(alt (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (patch (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
Calls

114 calls:

TimeVariablePointExpression
0.0ms
b
@0
(+ (* (* a a) (+ (* 2 (* b b)) (* a a))) -1)
0.0ms
b
@inf
(+ (* (* a a) (+ (* 2 (* b b)) (* a a))) -1)
0.0ms
a
@0
(+ (* (* a a) (+ (* 2 (* b b)) (* a a))) -1)
0.0ms
a
@inf
(+ (* (* a a) (+ (* 2 (* b b)) (* a a))) -1)
0.0ms
a
@inf
(* (+ (* a a) (+ (* -4 a) 4)) (- (* a a) (+ (* -4 a) 4)))

simplify322.0ms (3.1%)

Memory
26.2MiB live, 472.0MiB allocated
Algorithm
egg-herbie
Rules
22 220×lower-fma.f64
22 220×lower-fma.f32
6 120×lower-+.f64
6 120×lower-+.f32
4 654×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03727191
111076938
231596802
080766276
Stop Event
iter limit
node limit
Counts
456 → 456
Calls
Call 1
Inputs
(pow b 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(pow a 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(+ (* 12 (pow b 2)) (pow b 4))
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4)))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(pow b 2)
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(pow a 2)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(pow a 2)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(pow a 2)
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(pow b 2)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
-1
(- (* 12 (pow b 2)) 1)
(- (* (pow b 2) (+ 12 (pow b 2))) 1)
(- (* (pow b 2) (+ 12 (pow b 2))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* 3 (pow b 2))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(+ (* 3 (pow b 2)) (* a (+ a (pow b 2))))
(+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2))))
(* -1 (pow a 3))
(* (pow a 3) (- (/ 1 a) 1))
(* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1))
(* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1))
(* -1 (pow a 3))
(* -1 (* (pow a 3) (- 1 (/ 1 a))))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a)))))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a)))))
(* (pow a 2) (- 1 a))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* 3 (pow b 2))
(* 3 (pow b 2))
(* 3 (pow b 2))
(* 3 (pow b 2))
(* 3 (pow b 2))
(* 3 (pow b 2))
(* 3 (pow b 2))
(* 3 (pow b 2))
(* 3 (pow b 2))
(* 3 (pow b 2))
(* 3 (pow b 2))
(* 3 (pow b 2))
(* 3 b)
(* 3 b)
(* 3 b)
(* 3 b)
(* 3 b)
(* 3 b)
(* 3 b)
(* 3 b)
(* 3 b)
(* 3 b)
(* 3 b)
(* 3 b)
4
(+ 4 (* -4 a))
(+ 4 (* a (- a 4)))
(+ 4 (* a (- a 4)))
(pow a 2)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(pow a 2)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
-4
(- (* 4 a) 4)
(- (* a (+ 4 a)) 4)
(- (* a (+ 4 a)) 4)
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (- (+ 1 (* 4 (/ 1 a))) (/ 4 (pow a 2))))
(* (pow a 2) (- (+ 1 (* 4 (/ 1 a))) (/ 4 (pow a 2))))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (* -1 (/ (- (* 4 (/ 1 a)) 4) a))))
(* (pow a 2) (+ 1 (* -1 (/ (- (* 4 (/ 1 a)) 4) a))))
4
(+ 4 (* -4 a))
(+ 4 (* a (- a 4)))
(+ 4 (* a (- a 4)))
(pow a 2)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(pow a 2)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* 3 (pow b 2))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(+ (* 3 (pow b 2)) (* a (+ a (pow b 2))))
(+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2))))
(* -1 (pow a 3))
(* (pow a 3) (- (/ 1 a) 1))
(* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1))
(* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1))
(* -1 (pow a 3))
(* -1 (* (pow a 3) (- 1 (/ 1 a))))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a)))))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a)))))
(* (pow a 2) (- 1 a))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(/ 1 (pow b 2))
(+ (* -1 (/ (pow a 2) (pow b 4))) (/ 1 (pow b 2)))
(+ (* (pow a 2) (- (/ (pow a 2) (pow b 6)) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(+ (* (pow a 2) (- (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow b 8))) (/ 1 (pow b 6)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(/ 1 (pow a 2))
(/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))
(/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ 1 (pow a 2))
(/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))
(/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ 1 (pow a 2))
(+ (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))
(+ (* (pow b 2) (- (/ (pow b 2) (pow a 6)) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(+ (* (pow b 2) (- (* (pow b 2) (+ (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(/ 1 (pow b 2))
(/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2))
(/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ 1 (pow b 2))
(/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2))
(/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2))
(* 3 (pow b 2))
(* 3 (pow b 2))
(* 3 (pow b 2))
(* 3 (pow b 2))
(* 3 (pow b 2))
(* 3 (pow b 2))
(* 3 (pow b 2))
(* 3 (pow b 2))
(* 3 (pow b 2))
(* 3 (pow b 2))
(* 3 (pow b 2))
(* 3 (pow b 2))
(- (pow b 4) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) 1)
(- (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) 1)
(- (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))) (/ 1 (pow a 4))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))) (/ 1 (pow a 4))))
(- (pow a 4) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) 1)
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))) (/ 1 (pow b 4))))
-1
(- (* 2 (* (pow a 2) (pow b 2))) 1)
(- (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) 1)
(- (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (* 2 (/ (pow b 2) (pow a 2)))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (* 2 (/ (pow b 2) (pow a 2)))) (/ 1 (pow a 4))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (* 2 (/ (pow b 2) (pow a 2)))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (* 2 (/ (pow b 2) (pow a 2)))) (/ 1 (pow a 4))))
(- (pow a 4) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 1)
(* 2 (* (pow a 2) (pow b 2)))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))) (/ 1 (pow b 2))))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))) (/ 1 (pow b 2))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* 12 b)
(+ (* 4 (* a b)) (* 12 b))
(+ (* 12 b) (* a (+ (* 2 (* a b)) (* 4 b))))
(+ (* 12 b) (* a (+ (* 2 (* a b)) (* 4 b))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* 2 b) (* 4 (/ b a))))
(* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (* 12 (/ b (pow a 2))))))
(* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (* 12 (/ b (pow a 2))))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* 2 b) (* 4 (/ b a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -12 (/ b a)) (* -4 b)) a)) (* 2 b)))
(* (pow a 2) (+ (* -1 (/ (+ (* -12 (/ b a)) (* -4 b)) a)) (* 2 b)))
-16
(- (* 32 a) 16)
(- (* a (+ 32 (* -16 a))) 16)
(- (* a (+ 32 (* a (- (pow a 2) 16)))) 16)
(pow a 4)
(* (pow a 4) (- 1 (* 16 (/ 1 (pow a 2)))))
(* (pow a 4) (- (+ 1 (/ 32 (pow a 3))) (* 16 (/ 1 (pow a 2)))))
(* (pow a 4) (- (+ 1 (/ 32 (pow a 3))) (+ (* 16 (/ 1 (pow a 2))) (* 16 (/ 1 (pow a 4))))))
(pow a 4)
(* (pow a 4) (- 1 (* 16 (/ 1 (pow a 2)))))
(* (pow a 4) (- (+ 1 (/ 32 (pow a 3))) (* 16 (/ 1 (pow a 2)))))
(* (pow a 4) (- (+ 1 (* -1 (/ (- (* 16 (/ 1 a)) 32) (pow a 3)))) (* 16 (/ 1 (pow a 2)))))
Outputs
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(*.f64 (*.f64 b b) (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a))))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(*.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 2 binary64) (*.f64 a (/.f64 a (*.f64 b b))) #s(literal 1 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 a (/.f64 a (*.f64 b b))) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 a (/.f64 a (*.f64 b b))) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))))))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 2 binary64) (*.f64 a (/.f64 a (*.f64 b b))) #s(literal 1 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 a (/.f64 a (*.f64 b b))) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 a (/.f64 a (*.f64 b b))) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))))))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal -1 binary64))
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(fma.f64 a (fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)))) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)))) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
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(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 4 binary64)) a)) a)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 2 binary64) (*.f64 a (/.f64 a (*.f64 b b))) (fma.f64 (+.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
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(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b))) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 2 binary64) (*.f64 a (/.f64 a (*.f64 b b))) (fma.f64 (+.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
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(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b))) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))
(+ (* 12 (pow b 2)) (pow b 4))
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))))
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4)))
(*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) (*.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4)))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) (*.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 4 binary64)) a)) a)))
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(*.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)))))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)))))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)))))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 2 binary64) (*.f64 a (/.f64 a (*.f64 b b))) (fma.f64 (+.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))))))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 2 binary64) (*.f64 a (/.f64 a (*.f64 b b))) (fma.f64 (+.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))))))
(pow b 2)
(*.f64 b b)
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(*.f64 (*.f64 a a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(*.f64 (*.f64 a a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(*.f64 (*.f64 a a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(*.f64 (*.f64 a a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(*.f64 (*.f64 a a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(*.f64 (*.f64 a a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64)))
(pow a 2)
(*.f64 a a)
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(*.f64 b (fma.f64 b (*.f64 a (/.f64 a (*.f64 b b))) b))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(*.f64 b (fma.f64 b (*.f64 a (/.f64 a (*.f64 b b))) b))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(*.f64 b (fma.f64 b (*.f64 a (/.f64 a (*.f64 b b))) b))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(*.f64 b (fma.f64 b (*.f64 a (/.f64 a (*.f64 b b))) b))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(*.f64 b (fma.f64 b (*.f64 a (/.f64 a (*.f64 b b))) b))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(*.f64 b (fma.f64 b (*.f64 a (/.f64 a (*.f64 b b))) b))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal -1 binary64))
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(fma.f64 a (fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)))) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)))) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 4 binary64)) a)) a)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64))
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(* (pow a 4) (- 1 (* 4 (/ 1 a))))
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(fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 2 binary64) (*.f64 a (/.f64 a (*.f64 b b))) (fma.f64 (+.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b))) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b))) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 2 binary64) (*.f64 a (/.f64 a (*.f64 b b))) (fma.f64 (+.f64 a #s(literal 3 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b))) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b))) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))
(* 3 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 3 binary64))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(+ (* 3 (pow b 2)) (* a (+ a (pow b 2))))
(fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a a))
(+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2))))
(fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (-.f64 a (*.f64 a a))))
(* -1 (pow a 3))
(*.f64 (*.f64 a a) (neg.f64 a))
(* (pow a 3) (- (/ 1 a) 1))
(*.f64 a (fma.f64 a (neg.f64 a) (/.f64 (*.f64 a a) a)))
(* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1))
(*.f64 (*.f64 a a) (fma.f64 a (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 1 binary64) a)) (neg.f64 a)))
(* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1))
(*.f64 (*.f64 a a) (fma.f64 a (fma.f64 (+.f64 (/.f64 #s(literal 3 binary64) a) #s(literal 1 binary64)) (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 #s(literal 1 binary64) a)) (neg.f64 a)))
(* -1 (pow a 3))
(*.f64 (*.f64 a a) (neg.f64 a))
(* -1 (* (pow a 3) (- 1 (/ 1 a))))
(*.f64 (neg.f64 (*.f64 a a)) (fma.f64 a (/.f64 #s(literal -1 binary64) a) a))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a)))))
(*.f64 (*.f64 (*.f64 a a) (neg.f64 a)) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (/.f64 b a) #s(literal 1 binary64)) a)))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a)))))
(*.f64 (*.f64 (*.f64 a a) (neg.f64 a)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 b b) #s(literal -3 binary64)) a) (*.f64 b b)) a)) a)))
(* (pow a 2) (- 1 a))
(*.f64 a (-.f64 a (*.f64 a a)))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (-.f64 a (*.f64 a a))))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (-.f64 a (*.f64 a a))))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (-.f64 a (*.f64 a a))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(* 3 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 3 binary64))
(* 3 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 3 binary64))
(* 3 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 3 binary64))
(* 3 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 3 binary64))
(* 3 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 3 binary64))
(* 3 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 3 binary64))
(* 3 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 3 binary64))
(* 3 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 3 binary64))
(* 3 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 3 binary64))
(* 3 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 3 binary64))
(* 3 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 3 binary64))
(* 3 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 3 binary64))
(* 3 b)
(*.f64 b #s(literal 3 binary64))
(* 3 b)
(*.f64 b #s(literal 3 binary64))
(* 3 b)
(*.f64 b #s(literal 3 binary64))
(* 3 b)
(*.f64 b #s(literal 3 binary64))
(* 3 b)
(*.f64 b #s(literal 3 binary64))
(* 3 b)
(*.f64 b #s(literal 3 binary64))
(* 3 b)
(*.f64 b #s(literal 3 binary64))
(* 3 b)
(*.f64 b #s(literal 3 binary64))
(* 3 b)
(*.f64 b #s(literal 3 binary64))
(* 3 b)
(*.f64 b #s(literal 3 binary64))
(* 3 b)
(*.f64 b #s(literal 3 binary64))
(* 3 b)
(*.f64 b #s(literal 3 binary64))
4
#s(literal 4 binary64)
(+ 4 (* -4 a))
(fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))
(+ 4 (* a (- a 4)))
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))
(+ 4 (* a (- a 4)))
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(*.f64 a (fma.f64 a (/.f64 #s(literal -4 binary64) a) a))
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(*.f64 a (fma.f64 a (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a) a))
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(*.f64 a (fma.f64 a (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a) a))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(*.f64 a (fma.f64 a (/.f64 #s(literal -4 binary64) a) a))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(*.f64 a (fma.f64 a (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a) a))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(*.f64 a (fma.f64 a (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a) a))
-4
#s(literal -4 binary64)
(- (* 4 a) 4)
(fma.f64 #s(literal 4 binary64) a #s(literal -4 binary64))
(- (* a (+ 4 a)) 4)
(fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal -4 binary64))
(- (* a (+ 4 a)) 4)
(fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal -4 binary64))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(*.f64 a (fma.f64 a (/.f64 #s(literal 4 binary64) a) a))
(* (pow a 2) (- (+ 1 (* 4 (/ 1 a))) (/ 4 (pow a 2))))
(*.f64 a (fma.f64 a (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) a)) a) a))
(* (pow a 2) (- (+ 1 (* 4 (/ 1 a))) (/ 4 (pow a 2))))
(*.f64 a (fma.f64 a (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) a)) a) a))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(*.f64 a (fma.f64 a (/.f64 #s(literal 4 binary64) a) a))
(* (pow a 2) (+ 1 (* -1 (/ (- (* 4 (/ 1 a)) 4) a))))
(*.f64 a (fma.f64 a (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) a)) a) a))
(* (pow a 2) (+ 1 (* -1 (/ (- (* 4 (/ 1 a)) 4) a))))
(*.f64 a (fma.f64 a (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) a)) a) a))
4
#s(literal 4 binary64)
(+ 4 (* -4 a))
(fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))
(+ 4 (* a (- a 4)))
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))
(+ 4 (* a (- a 4)))
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(*.f64 a (fma.f64 a (/.f64 #s(literal -4 binary64) a) a))
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(*.f64 a (fma.f64 a (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a) a))
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(*.f64 a (fma.f64 a (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a) a))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(*.f64 a (fma.f64 a (/.f64 #s(literal -4 binary64) a) a))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(*.f64 a (fma.f64 a (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a) a))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(*.f64 a (fma.f64 a (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a) a))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal -1 binary64))
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(fma.f64 a (fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)))) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)))) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 4 binary64)) a)) a)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) #s(literal -1 binary64)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
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(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 #s(literal 2 binary64) (*.f64 a (/.f64 a (*.f64 b b))) #s(literal 1 binary64)))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 #s(literal 2 binary64) (*.f64 a (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 #s(literal 2 binary64) (*.f64 a (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))))
-1
#s(literal -1 binary64)
(- (* 2 (* (pow a 2) (pow b 2))) 1)
(fma.f64 (*.f64 a a) (*.f64 b (*.f64 b #s(literal 2 binary64))) #s(literal -1 binary64))
(- (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) 1)
(fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) #s(literal -1 binary64))
(- (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) 1)
(fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) #s(literal -1 binary64))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)))
(* (pow a 4) (- (+ 1 (* 2 (/ (pow b 2) (pow a 2)))) (/ 1 (pow a 4))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (*.f64 a a))))))
(* (pow a 4) (- (+ 1 (* 2 (/ (pow b 2) (pow a 2)))) (/ 1 (pow a 4))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (*.f64 a a))))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)))
(* (pow a 4) (- (+ 1 (* 2 (/ (pow b 2) (pow a 2)))) (/ 1 (pow a 4))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (*.f64 a a))))))
(* (pow a 4) (- (+ 1 (* 2 (/ (pow b 2) (pow a 2)))) (/ 1 (pow a 4))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (*.f64 a a))))))
(- (pow a 4) 1)
(fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1 binary64))
(- (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 1)
(fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) #s(literal -1 binary64))
(- (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 1)
(fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) #s(literal -1 binary64))
(- (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 1)
(fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) #s(literal -1 binary64))
(* 2 (* (pow a 2) (pow b 2)))
(*.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b (*.f64 a a))))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))) (/ 1 (pow b 2))))
(*.f64 b (*.f64 b (+.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b b)) (fma.f64 #s(literal 2 binary64) (*.f64 a a) (/.f64 #s(literal -1 binary64) (*.f64 b b))))))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))) (/ 1 (pow b 2))))
(*.f64 b (*.f64 b (+.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b b)) (fma.f64 #s(literal 2 binary64) (*.f64 a a) (/.f64 #s(literal -1 binary64) (*.f64 b b))))))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))) (/ 1 (pow b 2))))
(*.f64 b (*.f64 b (+.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b b)) (fma.f64 #s(literal 2 binary64) (*.f64 a a) (/.f64 #s(literal -1 binary64) (*.f64 b b))))))
(* 2 (* (pow a 2) (pow b 2)))
(*.f64 #s(literal 2 binary64) (*.f64 b (*.f64 b (*.f64 a a))))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))) (/ 1 (pow b 2))))
(*.f64 b (*.f64 b (+.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b b)) (fma.f64 #s(literal 2 binary64) (*.f64 a a) (/.f64 #s(literal -1 binary64) (*.f64 b b))))))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))) (/ 1 (pow b 2))))
(*.f64 b (*.f64 b (+.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b b)) (fma.f64 #s(literal 2 binary64) (*.f64 a a) (/.f64 #s(literal -1 binary64) (*.f64 b b))))))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))) (/ 1 (pow b 2))))
(*.f64 b (*.f64 b (+.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b b)) (fma.f64 #s(literal 2 binary64) (*.f64 a a) (/.f64 #s(literal -1 binary64) (*.f64 b b))))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
(* 12 b)
(*.f64 b #s(literal 12 binary64))
(+ (* 4 (* a b)) (* 12 b))
(*.f64 b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))
(+ (* 12 b) (* a (+ (* 2 (* a b)) (* 4 b))))
(*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
(+ (* 12 b) (* a (+ (* 2 (* a b)) (* 4 b))))
(*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
(* 2 (* (pow a 2) b))
(*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a)))
(* (pow a 2) (+ (* 2 b) (* 4 (/ b a))))
(*.f64 a (*.f64 a (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)))))
(* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (* 12 (/ b (pow a 2))))))
(*.f64 (*.f64 a a) (fma.f64 b #s(literal 2 binary64) (*.f64 (/.f64 b a) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 12 binary64) a)))))
(* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (* 12 (/ b (pow a 2))))))
(*.f64 (*.f64 a a) (fma.f64 b #s(literal 2 binary64) (*.f64 (/.f64 b a) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 12 binary64) a)))))
(* 2 (* (pow a 2) b))
(*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a)))
(* (pow a 2) (+ (* 2 b) (* 4 (/ b a))))
(*.f64 a (*.f64 a (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)))))
(* (pow a 2) (+ (* -1 (/ (+ (* -12 (/ b a)) (* -4 b)) a)) (* 2 b)))
(*.f64 (*.f64 a a) (-.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 (fma.f64 (/.f64 b a) #s(literal -12 binary64) (*.f64 b #s(literal -4 binary64))) a)))
(* (pow a 2) (+ (* -1 (/ (+ (* -12 (/ b a)) (* -4 b)) a)) (* 2 b)))
(*.f64 (*.f64 a a) (-.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 (fma.f64 (/.f64 b a) #s(literal -12 binary64) (*.f64 b #s(literal -4 binary64))) a)))
-16
#s(literal -16 binary64)
(- (* 32 a) 16)
(fma.f64 a #s(literal 32 binary64) #s(literal -16 binary64))
(- (* a (+ 32 (* -16 a))) 16)
(fma.f64 a (fma.f64 a #s(literal -16 binary64) #s(literal 32 binary64)) #s(literal -16 binary64))
(- (* a (+ 32 (* a (- (pow a 2) 16)))) 16)
(fma.f64 a (fma.f64 a (fma.f64 a a #s(literal -16 binary64)) #s(literal 32 binary64)) #s(literal -16 binary64))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (- 1 (* 16 (/ 1 (pow a 2)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -16 binary64) (*.f64 a a))))
(* (pow a 4) (- (+ 1 (/ 32 (pow a 3))) (* 16 (/ 1 (pow a 2)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -16 binary64) (*.f64 a a))) (/.f64 #s(literal 32 binary64) (*.f64 a (*.f64 a a)))))
(* (pow a 4) (- (+ 1 (/ 32 (pow a 3))) (+ (* 16 (/ 1 (pow a 2))) (* 16 (/ 1 (pow a 4))))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (/.f64 #s(literal 32 binary64) (*.f64 a (*.f64 a a))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (-.f64 #s(literal -16 binary64) (/.f64 #s(literal 16 binary64) (*.f64 a a))) #s(literal 1 binary64))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (- 1 (* 16 (/ 1 (pow a 2)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -16 binary64) (*.f64 a a))))
(* (pow a 4) (- (+ 1 (/ 32 (pow a 3))) (* 16 (/ 1 (pow a 2)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -16 binary64) (*.f64 a a))) (/.f64 #s(literal 32 binary64) (*.f64 a (*.f64 a a)))))
(* (pow a 4) (- (+ 1 (* -1 (/ (- (* 16 (/ 1 a)) 32) (pow a 3)))) (* 16 (/ 1 (pow a 2)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -16 binary64) (*.f64 a a))) (/.f64 (+.f64 #s(literal 32 binary64) (/.f64 #s(literal -16 binary64) a)) (*.f64 a (*.f64 a a)))))

rewrite297.0ms (2.9%)

Memory
-30.2MiB live, 383.4MiB allocated
Rules
5 414×lower-fma.f32
5 394×lower-fma.f64
4 268×lower-*.f32
4 250×lower-*.f64
3 030×lower-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064494
0101498
1512412
24387412
08206378
Stop Event
iter limit
node limit
iter limit
Counts
24 → 499
Calls
Call 1
Inputs
(/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64))))) #s(literal 1 binary64))
(+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64)))))
(fma.f64 a a (*.f64 b b))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64)))
#s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
(*.f64 (*.f64 a a) (*.f64 a a))
(*.f64 a a)
(fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) #s(approx (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64))))
#s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64))))
(*.f64 b (*.f64 b #s(literal 3 binary64)))
(*.f64 b #s(literal 3 binary64))
(/.f64 (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))
(-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
(fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (/.f64 (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) #s(literal -1 binary64))))
#s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))
(*.f64 (*.f64 b b) #s(literal 3 binary64))
#s(approx (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64))
(*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
(*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))
Outputs
(+.f64 (*.f64 a (*.f64 a (fma.f64 b b (*.f64 a a)))) (*.f64 b (*.f64 b (fma.f64 b b (*.f64 a a)))))
(+.f64 (*.f64 b (*.f64 b (fma.f64 b b (*.f64 a a)))) (*.f64 a (*.f64 a (fma.f64 b b (*.f64 a a)))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (fma.f64 b b (*.f64 a a)))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (fma.f64 b b (*.f64 a a)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (log.f64 (fma.f64 b b (*.f64 a a))) (*.f64 (log.f64 (fma.f64 b b (*.f64 a a))) #s(literal -1 binary64))))
(fma.f64 a (*.f64 a (fma.f64 b b (*.f64 a a))) (*.f64 b (*.f64 b (fma.f64 b b (*.f64 a a)))))
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 a a))) (*.f64 a (*.f64 a (fma.f64 b b (*.f64 a a)))))
(fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)) (*.f64 a (*.f64 a (fma.f64 b b (*.f64 a a)))))
(fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b) (*.f64 a (*.f64 a (fma.f64 b b (*.f64 a a)))))
(fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 a a) (*.f64 b (*.f64 b (fma.f64 b b (*.f64 a a)))))
(fma.f64 (*.f64 a a) (fma.f64 b b (*.f64 a a)) (*.f64 b (*.f64 b (fma.f64 b b (*.f64 a a)))))
(fma.f64 (*.f64 (fma.f64 b b (*.f64 a a)) b) b (*.f64 a (*.f64 a (fma.f64 b b (*.f64 a a)))))
(fma.f64 (*.f64 (fma.f64 b b (*.f64 a a)) a) a (*.f64 b (*.f64 b (fma.f64 b b (*.f64 a a)))))
(neg.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal -1 binary64) (fma.f64 b b (*.f64 a a)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 b b (*.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))))
(/.f64 (fma.f64 b b (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))))))
(/.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))) #s(literal 1 binary64))
(/.f64 (neg.f64 (fma.f64 b b (*.f64 a a))) (/.f64 #s(literal -1 binary64) (fma.f64 b b (*.f64 a a))))
(/.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a))))))
(/.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))) (*.f64 (+.f64 a b) (-.f64 a b))))
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(*.f64 (*.f64 b b) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (*.f64 b b))
(*.f64 (*.f64 b #s(literal 3 binary64)) b)
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(fma.f64 (*.f64 b (*.f64 b #s(literal 2 binary64))) (*.f64 a a) (fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1 binary64)))
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(fma.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 b (*.f64 a a)) (fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1 binary64)))
(fma.f64 (*.f64 a (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a))) a #s(literal -1 binary64))
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(fma.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 a (-.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))) (*.f64 a a)) (*.f64 (neg.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))))
(fma.f64 (*.f64 a (+.f64 a #s(literal -4 binary64))) (fma.f64 a (-.f64 a #s(literal -4 binary64)) #s(literal -4 binary64)) (*.f64 #s(literal 4 binary64) (fma.f64 a (-.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))))
(fma.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) a (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (neg.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))))
(fma.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) a (*.f64 (neg.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))))
(fma.f64 (*.f64 (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) (fma.f64 a (-.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (neg.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))))
(fma.f64 (*.f64 (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) (fma.f64 a (-.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))) (*.f64 (neg.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) (fma.f64 a (-.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))) (*.f64 (fma.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 a (-.f64 a #s(literal -4 binary64)) #s(literal -4 binary64)))) (fma.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (neg.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) (fma.f64 a (-.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))) (*.f64 (fma.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 a (-.f64 a #s(literal -4 binary64)) #s(literal -4 binary64)))) (fma.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (neg.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) (fma.f64 a (-.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 a (-.f64 a #s(literal -4 binary64)) #s(literal -4 binary64)))) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (neg.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) (fma.f64 a (-.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 a (-.f64 a #s(literal -4 binary64)) #s(literal -4 binary64)))) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 (neg.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))))
(/.f64 (*.f64 (fma.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (*.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 (fma.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 a (-.f64 a #s(literal -4 binary64)) #s(literal -4 binary64)))) (*.f64 (fma.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a (*.f64 a (*.f64 a a))))))
(/.f64 (*.f64 (fma.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (*.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 a (-.f64 a #s(literal -4 binary64)) #s(literal -4 binary64)))) (fma.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (*.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))))
(/.f64 (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 a (-.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))) (*.f64 (fma.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 a (-.f64 a #s(literal -4 binary64)) #s(literal -4 binary64)))) (*.f64 (fma.f64 a (-.f64 a #s(literal -4 binary64)) #s(literal -4 binary64)) (fma.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a (*.f64 a (*.f64 a a))))))
(/.f64 (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 a (-.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 a (-.f64 a #s(literal -4 binary64)) #s(literal -4 binary64)))) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 a (-.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))))
(/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 a (-.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))) (fma.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (*.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (*.f64 (fma.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a))))))
(/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 a (-.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 a (-.f64 a #s(literal -4 binary64)) #s(literal -4 binary64)))) (*.f64 (fma.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 a (-.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))))
(/.f64 (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 a (-.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))) (fma.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (*.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a))))))
(/.f64 (*.f64 (fma.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (*.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (fma.f64 a (-.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))) (fma.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))))
(/.f64 (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 a (-.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))) (fma.f64 a (-.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))) (fma.f64 a (-.f64 a #s(literal -4 binary64)) #s(literal -4 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 (*.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))) (*.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))))) (fma.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))))) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))))
(/.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 a (-.f64 a #s(literal -4 binary64)) #s(literal -4 binary64)))) (fma.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))))
(/.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 a (-.f64 a #s(literal -4 binary64)) #s(literal -4 binary64)))) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))
(/.f64 (*.f64 (fma.f64 a (-.f64 a #s(literal -4 binary64)) #s(literal -4 binary64)) (fma.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (*.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (fma.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))))
(/.f64 (*.f64 (fma.f64 a (-.f64 a #s(literal -4 binary64)) #s(literal -4 binary64)) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 a (-.f64 a #s(literal -4 binary64)) #s(literal -4 binary64)))) (fma.f64 a (-.f64 a #s(literal -4 binary64)) #s(literal -4 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 a (-.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) (fma.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))))
(/.f64 (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 a (-.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))
(*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 a (-.f64 a #s(literal -4 binary64)) #s(literal -4 binary64)))
(*.f64 (fma.f64 a (-.f64 a #s(literal -4 binary64)) #s(literal -4 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))

eval203.0ms (2%)

Memory
18.2MiB live, 167.1MiB allocated
Compiler

Compiled 46 743 to 2 870 computations (93.9% saved)

prune203.0ms (2%)

Memory
11.4MiB live, 173.0MiB allocated
Pruning

20 alts after pruning (14 fresh and 6 done)

PrunedKeptTotal
New1 19441 198
Fresh11011
Picked235
Done033
Total1 197201 217
Accuracy
100.0%
Counts
1 217 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.7%
(fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) #s(approx (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64))))
78.2%
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* a a) (* b b)) (*.f64 b b)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64))))) #s(literal 1 binary64))
83.1%
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* a a) (* b b)) (*.f64 a a)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64))))) #s(literal 1 binary64))
97.8%
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (pow.f64 (sqrt.f64 (fma.f64 b b (*.f64 a a))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (fma.f64 b b (*.f64 a a))) #s(literal -1 binary64)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64))))) #s(literal 1 binary64))
71.6%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1 binary64))
67.1%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
44.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64)))) #s(literal -1 binary64)))
62.3%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (/.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 a (-.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))) (fma.f64 a (-.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))) #s(literal -1 binary64))))
53.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b #s(approx (+ (* a (+ (* 2 a) 4)) 12) (*.f64 #s(literal 2 binary64) (*.f64 a a)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 a (*.f64 a (*.f64 a a))))))
46.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 a #s(literal 4 binary64)))
33.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (fma.f64 (*.f64 b b) (*.f64 (*.f64 b (fma.f64 b b #s(literal 12 binary64))) (*.f64 b (fma.f64 b b #s(literal 12 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) #s(literal 1 binary64)))))
46.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
41.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))
46.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
26.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64)))
58.1%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 b b)) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64))) #s(literal 12 binary64)) #s(literal -1 binary64))))
50.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 b #s(literal 12 binary64)) b #s(literal -1 binary64))))
73.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))))
73.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))))
25.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -1) (*.f64 #s(literal 12 binary64) (*.f64 b b)))))
Compiler

Compiled 1 596 to 367 computations (77% saved)

regimes108.0ms (1%)

Memory
-29.4MiB live, 43.8MiB allocated
Counts
40 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -1) (*.f64 #s(literal 12 binary64) (*.f64 b b)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 b #s(literal 12 binary64)) b #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 a (*.f64 a (*.f64 a a)) (fma.f64 (*.f64 a a) (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b #s(approx (+ (* a (+ (* 2 a) 4)) 12) (*.f64 #s(literal 2 binary64) (*.f64 a a)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 a (*.f64 a (*.f64 a a))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 a (*.f64 a (*.f64 a a))))))
(fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) #s(approx (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64))))
(fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 b b)) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64))) #s(literal 12 binary64)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64)))) #s(literal -1 binary64)))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* a a) (* b b)) (*.f64 a a)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64))))) #s(literal 1 binary64))
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* a a) (* b b)) (*.f64 b b)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64))))) #s(literal 1 binary64))
(fma.f64 (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64))))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (fma.f64 (*.f64 b b) (*.f64 (*.f64 b (fma.f64 b b #s(literal 12 binary64))) (*.f64 b (fma.f64 b b #s(literal 12 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 a (*.f64 a (*.f64 a a))))) (fma.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 a (*.f64 a (*.f64 a a)))) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (/.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 a (-.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))) (fma.f64 a (-.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))))
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 #s(literal 4 binary64) #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (/.f64 (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 a #s(literal 4 binary64)))
(fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal -1 binary64)))
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)))) (*.f64 (+.f64 a b) (-.f64 a b)))) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal -1 binary64)))
(fma.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal -1 binary64)))
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (pow.f64 (sqrt.f64 (fma.f64 b b (*.f64 a a))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (fma.f64 b b (*.f64 a a))) #s(literal -1 binary64)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64))))) #s(literal 1 binary64))
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (pow.f64 (sqrt.f64 (fma.f64 a a (*.f64 b b))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (fma.f64 a a (*.f64 b b))) #s(literal -1 binary64)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
(-.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a))) (*.f64 a (*.f64 (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a))))) (*.f64 (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) (*.f64 (*.f64 b b) (*.f64 (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 b (+.f64 a #s(literal 3 binary64))))))) #s(literal 4 binary64)) (*.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)))) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a))))) (*.f64 (fma.f64 (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) (-.f64 (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) (*.f64 a (*.f64 (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))))) (*.f64 (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))))) (*.f64 (fma.f64 (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) (-.f64 (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) (*.f64 a (*.f64 (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))))) (*.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)))) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a))))))) #s(literal 1 binary64))
Outputs
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (pow.f64 (sqrt.f64 (fma.f64 b b (*.f64 a a))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (fma.f64 b b (*.f64 a a))) #s(literal -1 binary64)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64))))) #s(literal 1 binary64))
Calls

5 calls:

42.0ms
(*.f64 b b)
11.0ms
b
11.0ms
a
10.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
9.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
97.9%1a
99.9%2b
99.9%2(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
99.9%2(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
99.9%2(*.f64 b b)
Compiler

Compiled 71 to 42 computations (40.8% saved)

regimes21.0ms (0.2%)

Memory
17.3MiB live, 17.3MiB allocated
Counts
37 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -1) (*.f64 #s(literal 12 binary64) (*.f64 b b)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 b #s(literal 12 binary64)) b #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 a (*.f64 a (*.f64 a a)) (fma.f64 (*.f64 a a) (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b #s(approx (+ (* a (+ (* 2 a) 4)) 12) (*.f64 #s(literal 2 binary64) (*.f64 a a)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 a (*.f64 a (*.f64 a a))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 a (*.f64 a (*.f64 a a))))))
(fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) #s(approx (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64))))
(fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 b b)) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64))) #s(literal 12 binary64)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64)))) #s(literal -1 binary64)))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* a a) (* b b)) (*.f64 a a)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64))))) #s(literal 1 binary64))
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* a a) (* b b)) (*.f64 b b)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64))))) #s(literal 1 binary64))
(fma.f64 (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64))))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (fma.f64 (*.f64 b b) (*.f64 (*.f64 b (fma.f64 b b #s(literal 12 binary64))) (*.f64 b (fma.f64 b b #s(literal 12 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 a (*.f64 a (*.f64 a a))))) (fma.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 a (*.f64 a (*.f64 a a)))) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (/.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 a (-.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))) (fma.f64 a (-.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))))
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 #s(literal 4 binary64) #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (/.f64 (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 a #s(literal 4 binary64)))
(fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal -1 binary64)))
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)))) (*.f64 (+.f64 a b) (-.f64 a b)))) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal -1 binary64)))
(fma.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal -1 binary64)))
Outputs
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64))))) #s(literal 1 binary64))
Calls

2 calls:

10.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
9.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
99.9%2(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
99.9%2(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
Compiler

Compiled 60 to 35 computations (41.7% saved)

regimes48.0ms (0.5%)

Memory
-11.6MiB live, 25.7MiB allocated
Counts
29 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -1) (*.f64 #s(literal 12 binary64) (*.f64 b b)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 b #s(literal 12 binary64)) b #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 a (*.f64 a (*.f64 a a)) (fma.f64 (*.f64 a a) (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b #s(approx (+ (* a (+ (* 2 a) 4)) 12) (*.f64 #s(literal 2 binary64) (*.f64 a a)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 a (*.f64 a (*.f64 a a))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 a (*.f64 a (*.f64 a a))))))
(fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) #s(approx (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64))))
(fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 b b)) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64))) #s(literal 12 binary64)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64)))) #s(literal -1 binary64)))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* a a) (* b b)) (*.f64 a a)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64))))) #s(literal 1 binary64))
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* a a) (* b b)) (*.f64 b b)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64))))) #s(literal 1 binary64))
(fma.f64 (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64))))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (fma.f64 (*.f64 b b) (*.f64 (*.f64 b (fma.f64 b b #s(literal 12 binary64))) (*.f64 b (fma.f64 b b #s(literal 12 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 a (*.f64 a (*.f64 a a))))) (fma.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 a (*.f64 a (*.f64 a a)))) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (/.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 a (-.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))) (fma.f64 a (-.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))))
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64))))) #s(literal 1 binary64))
Calls

4 calls:

24.0ms
b
8.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
7.0ms
(*.f64 b b)
7.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
99.9%2b
99.9%2(*.f64 b b)
99.9%2(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
99.9%2(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
Compiler

Compiled 68 to 40 computations (41.2% saved)

regimes28.0ms (0.3%)

Memory
22.1MiB live, 22.1MiB allocated
Counts
24 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -1) (*.f64 #s(literal 12 binary64) (*.f64 b b)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 b #s(literal 12 binary64)) b #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 a (*.f64 a (*.f64 a a)) (fma.f64 (*.f64 a a) (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b #s(approx (+ (* a (+ (* 2 a) 4)) 12) (*.f64 #s(literal 2 binary64) (*.f64 a a)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 a (*.f64 a (*.f64 a a))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 a (*.f64 a (*.f64 a a))))))
(fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) #s(approx (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64))))
(fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 b b)) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64))) #s(literal 12 binary64)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64)))) #s(literal -1 binary64)))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* a a) (* b b)) (*.f64 a a)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64))))) #s(literal 1 binary64))
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* a a) (* b b)) (*.f64 b b)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64))))) #s(literal 1 binary64))
(fma.f64 (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))))
(fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))
Calls

4 calls:

7.0ms
b
7.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
6.0ms
(*.f64 b b)
6.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
99.9%2(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
99.9%2(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
99.9%2b
99.9%2(*.f64 b b)
Compiler

Compiled 68 to 40 computations (41.2% saved)

regimes65.0ms (0.6%)

Memory
-30.9MiB live, 22.2MiB allocated
Counts
16 → 3
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -1) (*.f64 #s(literal 12 binary64) (*.f64 b b)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 b #s(literal 12 binary64)) b #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 a (*.f64 a (*.f64 a a)) (fma.f64 (*.f64 a a) (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b #s(approx (+ (* a (+ (* 2 a) 4)) 12) (*.f64 #s(literal 2 binary64) (*.f64 a a)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 a (*.f64 a (*.f64 a a))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 a (*.f64 a (*.f64 a a))))))
(fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) #s(approx (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64))))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b #s(approx (+ (* a (+ (* 2 a) 4)) 12) (*.f64 #s(literal 2 binary64) (*.f64 a a)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 a (*.f64 a (*.f64 a a))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b #s(approx (+ (* a (+ (* 2 a) 4)) 12) (*.f64 #s(literal 2 binary64) (*.f64 a a)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 a (*.f64 a (*.f64 a a))))))
Calls

5 calls:

44.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
5.0ms
a
5.0ms
b
5.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
5.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
97.2%3a
91.6%3(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
91.6%3(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
94.5%2b
94.5%2(*.f64 b b)
Compiler

Compiled 71 to 42 computations (40.8% saved)

regimes14.0ms (0.1%)

Memory
11.8MiB live, 11.8MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -1) (*.f64 #s(literal 12 binary64) (*.f64 b b)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 b #s(literal 12 binary64)) b #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 a (*.f64 a (*.f64 a a)) (fma.f64 (*.f64 a a) (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64))))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))
Calls

3 calls:

4.0ms
a
4.0ms
b
4.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
94.5%2b
94.5%2(*.f64 b b)
95.9%3a
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes11.0ms (0.1%)

Memory
9.6MiB live, 9.6MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -1) (*.f64 #s(literal 12 binary64) (*.f64 b b)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 b #s(literal 12 binary64)) b #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1 binary64))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1 binary64))
Calls

3 calls:

3.0ms
b
3.0ms
a
3.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
94.3%3a
92.5%2b
92.5%2(*.f64 b b)
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes4.0ms (0%)

Memory
3.7MiB live, 3.7MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -1) (*.f64 #s(literal 12 binary64) (*.f64 b b)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 b #s(literal 12 binary64)) b #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
Calls

1 calls:

3.0ms
a
Results
AccuracySegmentsBranch
94.3%3a
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes21.0ms (0.2%)

Memory
-23.7MiB live, 14.4MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -1) (*.f64 #s(literal 12 binary64) (*.f64 b b)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 b #s(literal 12 binary64)) b #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
Calls

5 calls:

9.0ms
b
3.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
3.0ms
a
3.0ms
(*.f64 b b)
3.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
80.1%4(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
80.1%4(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
73.3%4b
71.4%3(*.f64 b b)
85.2%3a
Compiler

Compiled 71 to 42 computations (40.8% saved)

regimes11.0ms (0.1%)

Memory
11.3MiB live, 11.3MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -1) (*.f64 #s(literal 12 binary64) (*.f64 b b)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 (*.f64 b #s(literal 12 binary64)) b #s(literal -1 binary64))))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64))))
Calls

5 calls:

2.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
2.0ms
a
2.0ms
b
2.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
2.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
50.6%1(*.f64 b b)
50.6%1b
50.6%1(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
50.6%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
50.6%1a
Compiler

Compiled 71 to 42 computations (40.8% saved)

regimes8.0ms (0.1%)

Memory
9.5MiB live, 9.5MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -1) (*.f64 #s(literal 12 binary64) (*.f64 b b)))))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -1) (*.f64 #s(literal 12 binary64) (*.f64 b b)))))
Calls

5 calls:

2.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
1.0ms
a
1.0ms
b
1.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
1.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
40.0%3a
50.5%2b
50.5%2(*.f64 b b)
50.8%2(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
50.8%2(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
Compiler

Compiled 71 to 42 computations (40.8% saved)

regimes7.0ms (0.1%)

Memory
8.9MiB live, 8.9MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64)))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64)))
Calls

5 calls:

1.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
1.0ms
a
1.0ms
b
1.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
1.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
26.5%1a
26.5%1b
26.5%1(*.f64 b b)
26.5%1(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
26.5%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
Compiler

Compiled 71 to 42 computations (40.8% saved)

bsearch1.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.3483022906802958e+278
1.670403664938591e+281
Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.7375463558943635e+62
3.8455251078433094e+69
Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.8757915398511618e-31
1.310225622493793e-29
Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.8757915398511618e-31
1.310225622493793e-29
Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch34.0ms (0.3%)

Memory
-20.6MiB live, 17.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
0.16390176788418606
22.91433428857954
17.0ms
-0.9112968883672384
-0.48724858760915085
Samples
24.0ms176×0valid
Compiler

Compiled 419 to 220 computations (47.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 13.0ms (65.1% of total)
ival-add: 3.0ms (15% of total)
ival-pow2: 2.0ms (10% of total)
ival-sub: 1.0ms (5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.800924398018633e+106
1.7602235818645512e+108
Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch46.0ms (0.4%)

Memory
-12.5MiB live, 24.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
1.350713148796045e-9
0.000705625655648504
12.0ms
-2250.7883038058494
-267.6444407324682
Samples
21.0ms240×0valid
Compiler

Compiled 412 to 250 computations (39.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 7.0ms (46% of total)
ival-add: 4.0ms (26.3% of total)
ival-sub: 2.0ms (13.1% of total)
ival-pow2: 2.0ms (13.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch6.0ms (0.1%)

Memory
4.6MiB live, 4.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
4.0ms
0.16390176788418606
22.91433428857954
1.0ms
-2250.7883038058494
-267.6444407324682
Samples
3.0ms32×0valid
Compiler

Compiled 346 to 204 computations (41% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-mult: 1.0ms (47.9% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-pow2: 0.0ms (0% of total)

bsearch23.0ms (0.2%)

Memory
15.7MiB live, 15.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
0.16390176788418606
22.91433428857954
10.0ms
-2250.7883038058494
-267.6444407324682
Samples
14.0ms160×0valid
Compiler

Compiled 320 to 191 computations (40.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 4.0ms (38.7% of total)
ival-add: 3.0ms (29% of total)
ival-sub: 1.0ms (9.7% of total)
ival-pow2: 1.0ms (9.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.09056473087470598
7.038705053942156
Compiler

Compiled 34 to 24 computations (29.4% saved)

simplify16.0ms (0.2%)

Memory
11.9MiB live, 11.9MiB allocated
Algorithm
egg-herbie
Rules
36×+-commutative_binary64
34×*-commutative_binary64
14×sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01481413
11811413
21901413
32031413
42041413
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 399999999999999985402747471836714233263609099131970306129257941944886985204960823250697371483281971199351139752004816151100759014175840875167772591175152581284266098322472946635874533451032360110801341245975019913337470519502956549993504054630757725647472835304299806977941307392 binary64)) (-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) (-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (pow.f64 (sqrt.f64 (fma.f64 b b (*.f64 a a))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (fma.f64 b b (*.f64 a a))) #s(literal -1 binary64)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64))))) #s(literal 1 binary64)))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 200000000000000007004399371886322346092160635596623651209740288 binary64)) (-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) (-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64))))) #s(literal 1 binary64)))
(if (<=.f64 (*.f64 b b) #s(literal 35681192317649/178405961588244985132285746181186892047843328 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))) (-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64))))) #s(literal 1 binary64)))
(if (<=.f64 (*.f64 b b) #s(literal 35681192317649/178405961588244985132285746181186892047843328 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))) (fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))
(if (<=.f64 a #s(literal -8106479329266893/9007199254740992 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b #s(approx (+ (* a (+ (* 2 a) 4)) 12) (*.f64 #s(literal 2 binary64) (*.f64 a a)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 a (*.f64 a (*.f64 a a)))))) (if (<=.f64 a #s(literal 17 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b #s(approx (+ (* a (+ (* 2 a) 4)) 12) (*.f64 #s(literal 2 binary64) (*.f64 a a)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 a (*.f64 a (*.f64 a a))))))))
(if (<=.f64 (*.f64 b b) #s(literal 99999999999999996881384047029926983435371269061279689406644211752791525136670645395254002395395884805259264 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b)))))
(if (<=.f64 a #s(literal -2200 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a)))) (if (<=.f64 a #s(literal 6456360425798343/9223372036854775808 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1 binary64))))
(if (<=.f64 a #s(literal -2200 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a)))) (if (<=.f64 a #s(literal 45/2 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a))))))
(if (<=.f64 a #s(literal -800 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a)))) (if (<=.f64 a #s(literal 13/2 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64)))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -1) (*.f64 #s(literal 12 binary64) (*.f64 b b))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64)))
Outputs
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 399999999999999985402747471836714233263609099131970306129257941944886985204960823250697371483281971199351139752004816151100759014175840875167772591175152581284266098322472946635874533451032360110801341245975019913337470519502956549993504054630757725647472835304299806977941307392 binary64)) (-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) (-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (pow.f64 (sqrt.f64 (fma.f64 b b (*.f64 a a))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (fma.f64 b b (*.f64 a a))) #s(literal -1 binary64)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64))))) #s(literal 1 binary64)))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)))))) #s(literal 399999999999999985402747471836714233263609099131970306129257941944886985204960823250697371483281971199351139752004816151100759014175840875167772591175152581284266098322472946635874533451032360110801341245975019913337470519502956549993504054630757725647472835304299806977941307392 binary64)) (+.f64 (+.f64 (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64))))) (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (pow.f64 (sqrt.f64 (fma.f64 b b (*.f64 a a))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (fma.f64 b b (*.f64 a a))) #s(literal -1 binary64)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64)))))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 200000000000000007004399371886322346092160635596623651209740288 binary64)) (-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) (-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64))))) #s(literal 1 binary64)))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)))))) #s(literal 200000000000000007004399371886322346092160635596623651209740288 binary64)) (+.f64 (+.f64 (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64))))) (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64)))))))
(if (<=.f64 (*.f64 b b) #s(literal 35681192317649/178405961588244985132285746181186892047843328 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))) (-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64))))) #s(literal 1 binary64)))
(if (<=.f64 (*.f64 b b) #s(literal 35681192317649/178405961588244985132285746181186892047843328 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))) (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64)))))))
(if (<=.f64 (*.f64 b b) #s(literal 35681192317649/178405961588244985132285746181186892047843328 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))) (fma.f64 #s(approx (+ (* a (* a (- 1 a))) (* b (* b (+ a 3)))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal 4 binary64) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))
(if (<=.f64 a #s(literal -8106479329266893/9007199254740992 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b #s(approx (+ (* a (+ (* 2 a) 4)) 12) (*.f64 #s(literal 2 binary64) (*.f64 a a)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 a (*.f64 a (*.f64 a a)))))) (if (<=.f64 a #s(literal 17 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b #s(approx (+ (* a (+ (* 2 a) 4)) 12) (*.f64 #s(literal 2 binary64) (*.f64 a a)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 a (*.f64 a (*.f64 a a))))))))
(if (<=.f64 a #s(literal -8106479329266893/9007199254740992 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b #s(approx (+ (* a (+ (* 2 a) 4)) 12) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 a (*.f64 a (*.f64 a a)))))) (if (<=.f64 a #s(literal 17 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 b (*.f64 b #s(approx (+ (* a (+ (* 2 a) 4)) 12) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) #s(approx (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1) (*.f64 a (*.f64 a (*.f64 a a))))))))
(if (<=.f64 (*.f64 b b) #s(literal 99999999999999996881384047029926983435371269061279689406644211752791525136670645395254002395395884805259264 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 b (*.f64 b (*.f64 b b)))))
(if (<=.f64 a #s(literal -2200 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a)))) (if (<=.f64 a #s(literal 6456360425798343/9223372036854775808 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 a (*.f64 a (*.f64 a a)))) #s(literal 1 binary64))))
(if (<=.f64 a #s(literal -2200 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a)))) (if (<=.f64 a #s(literal 6456360425798343/9223372036854775808 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 a (*.f64 a (*.f64 a a)))))))
(if (<=.f64 a #s(literal -2200 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a)))) (if (<=.f64 a #s(literal 45/2 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a))))))
(if (<=.f64 a #s(literal -800 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a)))) (if (<=.f64 a #s(literal 13/2 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64)))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 a (*.f64 a (*.f64 a a))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) (fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -1) (*.f64 #s(literal 12 binary64) (*.f64 b b))))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)))))) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* b (* b (+ (* a (+ (* 2 a) 4)) 12))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)) #s(approx (+ (* 12 (* b b)) -1) (*.f64 (*.f64 b b) #s(literal 12 binary64))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64)))

soundness1.2s (11.2%)

Memory
-30.1MiB live, 453.5MiB allocated
Rules
19 992×lower-fma.f64
19 992×lower-fma.f32
15 822×lower-fma.f64
15 822×lower-fma.f32
8 814×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03637786
110987514
232477237
081176627
01894
03094
114094
2125194
0829981
06637227
121356805
277246785
080886296
01912222
15992169
218452105
357612012
084751830
064494
0101498
1512412
24387412
08206378
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 970 to 357 computations (63.2% saved)

preprocess118.0ms (1.1%)

Memory
21.1MiB live, 145.2MiB allocated
Remove

(abs b)

Compiler

Compiled 1 306 to 294 computations (77.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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