Bouland and Aaronson, Equation (24)

Time bar (total: 11.8s)

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)

sample1.3s (10.8%)

Memory
78.3MiB live, 2 175.4MiB allocated
Samples
948.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 700.0ms
ival-mult: 302.0ms (43.2% of total)
ival-add: 195.0ms (27.9% of total)
ival-sub: 105.0ms (15% of total)
ival-pow2: 80.0ms (11.4% of total)
exact: 10.0ms (1.4% of total)
ival-true: 5.0ms (0.7% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

preprocess716.0ms (6.1%)

Memory
-46.5MiB live, 893.7MiB 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)

explain785.0ms (6.6%)

Memory
12.6MiB live, 404.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
430-0-(+.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)))))
370-0-(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
160-1(-5.589010565711763e+84 5.439724705336148e-158)(*.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-rescue430
(*.f64 b b)overflow69
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))overflow157
(*.f64 a a)overflow59
(+.f64 (*.f64 a a) (*.f64 b b))overflow114
(*.f64 b b)overflow69
(*.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))))overflow132
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))overflow132
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))overflow90
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a))overflow79
(*.f64 a a)overflow59
+.f64(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))nan-rescue370
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a))overflow79
(*.f64 a a)overflow59
(*.f64 b b)overflow69
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))overflow90
Confusion
Predicted +Predicted -
+670
-0189
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6700
-00189
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0189
154
213
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
78.0ms512×0valid
Compiler

Compiled 338 to 76 computations (77.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-sub: 28.0ms (49.5% of total)
ival-mult: 14.0ms (24.8% of total)
ival-add: 9.0ms (15.9% of total)
ival-pow2: 5.0ms (8.8% of total)
exact: 1.0ms (1.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.7%
(-.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)

simplify492.0ms (4.2%)

Memory
0.1MiB live, 792.6MiB 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)

localize127.0ms (1.1%)

Memory
-13.3MiB live, 116.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
accuracy94.5%
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
accuracy87.5%
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
accuracy86.6%
(+.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
47.0ms256×0valid
Compiler

Compiled 138 to 20 computations (85.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-add: 22.0ms (64.5% of total)
ival-mult: 7.0ms (20.5% of total)
ival-sub: 2.0ms (5.9% of total)
ival-pow2: 2.0ms (5.9% of total)
exact: 1.0ms (2.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series15.0ms (0.1%)

Memory
-6.2MiB live, 31.6MiB 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
a
@inf
(pow (+ (* a a) (* b b)) 2)
0.0ms
b
@0
(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)))))

simplify429.0ms (3.6%)

Memory
19.9MiB live, 802.7MiB 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 #s(literal 2 binary64) (/.f64 (*.f64 b b) (*.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 #s(literal 2 binary64) (/.f64 (*.f64 b b) (*.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 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 (+ 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 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 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))))

rewrite428.0ms (3.6%)

Memory
10.9MiB live, 619.3MiB allocated
Algorithm
batch-egg-rewrite
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)))

eval100.0ms (0.8%)

Memory
-9.9MiB live, 174.4MiB allocated
Compiler

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

prune97.0ms (0.8%)

Memory
-24.1MiB live, 194.3MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New6819690
Fresh000
Picked101
Done000
Total6829691
Accuracy
100.0%
Counts
691 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
9.9%
(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)))
76.4%
(/.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)))))
73.7%
(-.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))
68.5%
(-.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))
70.5%
#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)))
69.3%
#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)))
48.2%
#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))))
46.9%
#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 496 to 238 computations (52% saved)

simplify453.0ms (3.8%)

Memory
19.5MiB live, 569.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.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-diff128
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
cost-diff384
(+.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-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 (*.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 (*.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)))
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 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 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))))
cost-diff0
(/.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))))
cost-diff128
(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)))
cost-diff1408
(/.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)))))
Rules
23 232×lower-fma.f32
23 214×lower-fma.f64
4 426×lower-+.f32
4 418×lower-+.f64
3 046×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053507
088463
1200445
2511442
31250442
44219442
56642442
08139437
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.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)))))
#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))))
(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)))
#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)))))
a
(*.f64 a (-.f64 #s(literal 1 binary64) a))
(-.f64 #s(literal 1 binary64) a)
(*.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)
(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)
#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)
#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 (*.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 a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))
(*.f64 a 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))
#s(literal 4 binary64)
(neg.f64 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) (+.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
(/.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 #s(literal -1 binary64) (fma.f64 (*.f64 b b) (+.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 a a) (fma.f64 b b (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))))))
#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 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 b b) (+.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 a a) (fma.f64 b b (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 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 #s(literal -1 binary64) (fma.f64 (*.f64 b b) (+.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 a a) (fma.f64 b b (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 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 a (-.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64))))
a
(*.f64 a (-.f64 #s(literal 1 binary64) a))
(-.f64 a (*.f64 a a))
(-.f64 #s(literal 1 binary64) a)
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(*.f64 (*.f64 b 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)
(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)
#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)
#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 (*.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 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 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 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))
(*.f64 a 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))
#s(literal 4 binary64)
(neg.f64 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) (+.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 #s(literal -1 binary64) (fma.f64 (*.f64 b b) (+.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 a a) (fma.f64 b b (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 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 (*.f64 b b) (+.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 a a) (fma.f64 b b (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))))
(/.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 a (-.f64 a (*.f64 a a)) (*.f64 (*.f64 b 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 (*.f64 b 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 a a)
(-.f64 #s(literal 1 binary64) a)
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
(*.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)))
(+.f64 #s(literal 3 binary64) a)
(+.f64 a #s(literal 3 binary64))
#s(literal 3 binary64)

localize174.0ms (1.5%)

Memory
8.3MiB live, 251.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.5%
(/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))
accuracy94.5%
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
accuracy87.5%
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
accuracy86.6%
(+.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)))))
accuracy100.0%
(*.f64 a a)
accuracy100.0%
(neg.f64 a)
accuracy99.9%
(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))
accuracy69.4%
#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)))
accuracy100.0%
(fma.f64 b b #s(literal 12 binary64))
accuracy100.0%
(*.f64 b b)
accuracy99.9%
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
accuracy70.5%
#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)))
accuracy100.0%
(*.f64 a a)
accuracy99.9%
(*.f64 a (*.f64 a (*.f64 a a)))
accuracy99.8%
(*.f64 a (*.f64 a a))
accuracy47.0%
#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))))
accuracy99.8%
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
accuracy99.5%
(/.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))))
accuracy90.0%
(fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))))
accuracy86.6%
(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)))
Samples
76.0ms242×0valid
5.0ms1valid
5.0ms2valid
Compiler

Compiled 517 to 48 computations (90.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-mult: 30.0ms (47.7% of total)
ival-add: 15.0ms (23.8% of total)
ival-div: 7.0ms (11.1% of total)
ival-sub: 4.0ms (6.4% of total)
ival-pow2: 3.0ms (4.8% of total)
adjust: 2.0ms (3.2% of total)
exact: 1.0ms (1.6% of total)
ival-neg: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series35.0ms (0.3%)

Memory
14.7MiB live, 51.6MiB allocated
Counts
24 → 456
Calls
Call 1
Inputs
#s(alt (/.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))))) (patch (/.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))))) #<representation binary64>) () ())
#s(alt (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))) (patch (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))) #<representation binary64>) () ())
#s(alt (/.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)))) (patch (/.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)))) #<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 #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 #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 (*.f64 b b) (patch (*.f64 b b) #<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 (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 (*.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 (*.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 (*.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 (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 (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 (-.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 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) (patch (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt (neg.f64 a) (patch (neg.f64 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 (/.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))))) (patch (/.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))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1) (taylor 0 a) (#s(alt (/.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))))) (patch (/.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))))) #<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 #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))))) (patch (/.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))))) #<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 #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))))) (patch (/.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))))) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor inf a) (#s(alt (/.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))))) (patch (/.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))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (- 1 (* 4 (/ 1 a)))) (taylor inf a) (#s(alt (/.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))))) (patch (/.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))))) #<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 (/.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))))) (patch (/.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))))) #<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 (/.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))))) (patch (/.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))))) #<representation binary64>) () ())) ())
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#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>) () ())) ())
#s(alt (/ 1 (pow b 2)) (taylor 0 a) (#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 (+ (* -1 (/ (pow a 2) (pow b 4))) (/ 1 (pow b 2))) (taylor 0 a) (#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 (+ (* (pow a 2) (- (/ (pow a 2) (pow b 6)) (/ 1 (pow b 4)))) (/ 1 (pow b 2))) (taylor 0 a) (#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 (+ (* (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))) (taylor 0 a) (#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 (/ 1 (pow a 2)) (taylor inf a) (#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 (/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2)) (taylor inf a) (#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 (/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2)) (taylor inf a) (#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 (/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2)) (taylor inf a) (#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 (/ 1 (pow a 2)) (taylor -inf a) (#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 (/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2)) (taylor -inf a) (#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 (/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2)) (taylor -inf a) (#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 (/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2)) (taylor -inf a) (#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 (/ 1 (pow a 2)) (taylor 0 b) (#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 (+ (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2))) (taylor 0 b) (#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 (+ (* (pow b 2) (- (/ (pow b 2) (pow a 6)) (/ 1 (pow a 4)))) (/ 1 (pow a 2))) (taylor 0 b) (#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 (+ (* (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))) (taylor 0 b) (#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 (/ 1 (pow b 2)) (taylor inf b) (#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 (/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2)) (taylor inf b) (#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 (/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2)) (taylor inf b) (#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 (/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2)) (taylor inf b) (#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 (/ 1 (pow b 2)) (taylor -inf b) (#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 (/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2)) (taylor -inf b) (#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 (/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2)) (taylor -inf b) (#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 (/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2)) (taylor -inf b) (#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>) () ())) ())
Calls

114 calls:

TimeVariablePointExpression
2.0ms
b
@0
(/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))
1.0ms
a
@inf
(/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))
1.0ms
a
@0
(/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))
1.0ms
b
@inf
(/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))
0.0ms
a
@0
(/ 1 (+ (* a a) (* b b)))

simplify530.0ms (4.5%)

Memory
-2.9MiB live, 389.8MiB allocated
Algorithm
egg-herbie
Rules
10 574×lower-fma.f64
10 574×lower-fma.f32
5 286×lower-+.f64
5 286×lower-+.f32
4 718×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04288400
113478177
245257894
081407316
Stop Event
iter limit
node limit
Counts
456 → 456
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))))
(- (+ (* 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)) (pow b 4)) 1))
(+ (* -4 (/ (* a (pow b 2)) (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 2))) (/ 1 (- (+ (* 12 (pow b 2)) (pow b 4)) 1)))
(+ (* a (- (* -1 (* a (+ (* -16 (/ (pow b 4) (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 3))) (+ (* 2 (/ (pow b 2) (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 2))) (* 4 (/ 1 (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 2))))))) (* 4 (/ (pow b 2) (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 2))))) (/ 1 (- (+ (* 12 (pow b 2)) (pow b 4)) 1)))
(+ (* a (- (* a (- (* a (- (* 4 (/ 1 (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 2))) (+ (* -4 (/ (* (pow b 2) (+ 4 (* 2 (pow b 2)))) (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 3))) (* -4 (/ (* (pow b 2) (+ (* -16 (/ (pow b 4) (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 3))) (+ (* 2 (/ (pow b 2) (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 2))) (* 4 (/ 1 (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 2)))))) (- (+ (* 12 (pow b 2)) (pow b 4)) 1)))))) (+ (* -16 (/ (pow b 4) (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 3))) (+ (* 2 (/ (pow b 2) (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 2))) (* 4 (/ 1 (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 2))))))) (* 4 (/ (pow b 2) (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 2))))) (/ 1 (- (+ (* 12 (pow b 2)) (pow b 4)) 1)))
(/ 1 (pow a 4))
(/ (+ 1 (* 4 (/ 1 a))) (pow a 4))
(/ (- (+ 1 (+ (* 4 (/ 1 a)) (/ 12 (pow a 2)))) (* 2 (/ (pow b 2) (pow a 2)))) (pow a 4))
(/ (- (+ 1 (+ (* -1 (/ (+ (* -4 (- 12 (* 2 (pow b 2)))) (+ (* 4 (+ 4 (* 2 (pow b 2)))) (* 4 (pow b 2)))) (pow a 3))) (+ (* 4 (/ 1 a)) (/ 12 (pow a 2))))) (* 2 (/ (pow b 2) (pow a 2)))) (pow a 4))
(/ 1 (pow a 4))
(/ (+ 1 (* 4 (/ 1 a))) (pow a 4))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- 12 (* 2 (pow b 2))) a)) 4) a))) (pow a 4))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ 12 (+ (* -4 (/ (+ 4 (* 2 (pow b 2))) a)) (+ (* -4 (/ (pow b 2) a)) (* 4 (/ (- 12 (* 2 (pow b 2))) a))))) (* 2 (pow b 2))) a)) 4) a))) (pow a 4))
(/ 1 (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1))
(+ (* -1 (* (pow b 2) (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2))) (* 4 (/ (+ 3 a) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2)))))) (/ 1 (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)))
(+ (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1 (/ (* (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2))) (* 4 (/ (+ 3 a) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2)))) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1))) (/ 1 (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2))))) (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2))) (* 4 (/ (+ 3 a) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2)))))) (/ 1 (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)))
(+ (* (pow b 2) (- (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2))) (* 4 (/ (+ 3 a) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2)))) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1))) (/ 1 (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2))) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1))) (* -1 (/ (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2))) (* 4 (/ (+ 3 a) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2)))) (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)))))) (+ (* -1 (/ (* (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2))) (* 4 (/ (+ 3 a) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2)))) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1))) (/ 1 (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2))))) (+ (* 2 (/ (pow a 2) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2))) (* 4 (/ (+ 3 a) (pow (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1) 2)))))) (/ 1 (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)))
(/ 1 (pow b 4))
(/ (+ 1 (* -1 (/ (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) (pow b 2)))) (pow b 4))
(/ (- (+ 1 (/ 1 (pow b 4))) (+ (* -1 (/ (pow (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) 2) (pow b 4))) (+ (* 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 (+ (* -1 (/ (+ (* -1 (* (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1))) (* (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) (- 1 (+ (* -1 (pow (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) 2)) (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)))))) (pow b 6))) (/ 1 (pow b 4)))) (+ (* -1 (/ (pow (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) 2) (pow b 4))) (+ (* 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 (pow b 4))
(/ (+ 1 (* -1 (/ (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) (pow b 2)))) (pow b 4))
(/ (- (+ 1 (/ 1 (pow b 4))) (+ (* -1 (/ (pow (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) 2) (pow b 4))) (+ (* 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 (+ (* -1 (/ (+ (* -1 (* (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1))) (* (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) (- 1 (+ (* -1 (pow (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) 2)) (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)))))) (pow b 6))) (/ 1 (pow b 4)))) (+ (* -1 (/ (pow (+ (* 2 (pow a 2)) (* 4 (+ 3 a))) 2) (pow b 4))) (+ (* 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))
(* 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)))))
(- (+ (* 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))))
-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))))
(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
(+ 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)))))
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))))
-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 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)))))))
(* 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)))))
(- (+ (* 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) (+ 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 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 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)))))
(/ 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 (*.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 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) (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)))) #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 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 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))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) (/.f64 #s(literal -4 binary64) 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 (*.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 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) #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 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) (fma.f64 (*.f64 b b) (+.f64 #s(literal 12 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) (*.f64 a #s(literal 2 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 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) (fma.f64 (*.f64 b b) (+.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 a (+.f64 #s(literal 4 binary64) (*.f64 a #s(literal 2 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 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) (fma.f64 (*.f64 b b) (+.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 a (+.f64 #s(literal 4 binary64) (*.f64 a #s(literal 2 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)))))))
(- (+ (* 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 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) (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)))) #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 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 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))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) (/.f64 #s(literal -4 binary64) 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 (*.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 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) #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 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) (fma.f64 (*.f64 b b) (+.f64 #s(literal 12 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) (*.f64 a #s(literal 2 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 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) (fma.f64 (*.f64 b b) (+.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 a (+.f64 #s(literal 4 binary64) (*.f64 a #s(literal 2 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 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) (fma.f64 (*.f64 b b) (+.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 a (+.f64 #s(literal 4 binary64) (*.f64 a #s(literal 2 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)))))))
(/ 1 (- (+ (* 12 (pow b 2)) (pow b 4)) 1))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
(+ (* -4 (/ (* a (pow b 2)) (pow (- (+ (* 12 (pow b 2)) (pow b 4)) 1) 2))) (/ 1 (- (+ (* 12 (pow b 2)) (pow b 4)) 1)))
(fma.f64 a (/.f64 (*.f64 (*.f64 b b) #s(literal -4 binary64)) (*.f64 (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 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))))
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(*.f64 a (*.f64 a a))
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(*.f64 a (*.f64 a a))
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(- (+ (* 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)
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(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
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(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
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(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)
(*.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))))
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(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) #s(literal -1 binary64))
(- (+ (* 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)
(fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) (fma.f64 (*.f64 b b) (+.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 a (+.f64 #s(literal 4 binary64) (*.f64 a #s(literal 2 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 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) (fma.f64 (*.f64 b b) (+.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 a (+.f64 #s(literal 4 binary64) (*.f64 a #s(literal 2 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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(* (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))))
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(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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(* (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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-1
#s(literal -1 binary64)
(- (* 12 (pow b 2)) 1)
(fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64))
(- (* (pow b 2) (+ 12 (pow b 2))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
(- (* (pow b 2) (+ 12 (pow b 2))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2)))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 12 binary64) (*.f64 b b))))
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
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(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2)))))
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(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
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(pow b 2)
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(pow b 2)
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(*.f64 b b)
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(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
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12
#s(literal 12 binary64)
(+ 12 (pow b 2))
(fma.f64 b b #s(literal 12 binary64))
(+ 12 (pow b 2))
(fma.f64 b b #s(literal 12 binary64))
(+ 12 (pow b 2))
(fma.f64 b b #s(literal 12 binary64))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 12 binary64))
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 12 binary64))
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 12 binary64))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 12 binary64))
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 12 binary64))
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 12 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 (*.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) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 1 binary64)))
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(*.f64 (*.f64 a a) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 1 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 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
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(* (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)) (neg.f64 a)) a))
4
#s(literal 4 binary64)
(+ 4 (* -4 a))
(fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))
(+ 4 (* -4 a))
(fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))
(+ 4 (* -4 a))
(fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))
(* -4 a)
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(* 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)
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(* -1 (* a (- 4 (* 4 (/ 1 a)))))
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(* -1 (* a (- 4 (* 4 (/ 1 a)))))
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(* -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 (*.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 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) (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)))) #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)
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(pow a 4)
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(* (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))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) (/.f64 #s(literal -4 binary64) 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))))
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(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
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(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) #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 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) (fma.f64 (*.f64 b b) (+.f64 #s(literal 12 binary64) (*.f64 a (+.f64 #s(literal 4 binary64) (*.f64 a #s(literal 2 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 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) (fma.f64 (*.f64 b b) (+.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 a (+.f64 #s(literal 4 binary64) (*.f64 a #s(literal 2 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 a a) (fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))) (fma.f64 (*.f64 b b) (+.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 a (+.f64 #s(literal 4 binary64) (*.f64 a #s(literal 2 binary64))))) #s(literal -1 binary64)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
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(pow a 4)
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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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(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (*.f64 a a))) (*.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) (fma.f64 (neg.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 (* -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 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (neg.f64 a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) (*.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)))) (fma.f64 (neg.f64 a) (/.f64 a (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.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 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 (neg.f64 a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) (*.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)))) (fma.f64 (neg.f64 a) (/.f64 a (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 b b))

rewrite503.0ms (4.3%)

Memory
-10.7MiB live, 428.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 432×lower-*.f32
6 412×lower-*.f64
3 826×lower-fma.f32
3 808×lower-fma.f64
3 462×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053405
088366
1424348
23447348
010027333
Stop Event
iter limit
node limit
iter limit
Counts
24 → 942
Calls
Call 1
Inputs
(/.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)))))
(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 #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))))
(fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 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)
#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)
(fma.f64 b b #s(literal 12 binary64))
(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 (*.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 a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))
(/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))
(+.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)))
(-.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 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(neg.f64 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(literal 4 binary64) (fma.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))))
(+.f64 (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) (fma.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a))))))
(+.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) #s(literal -1 binary64))
(+.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a))))) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a))))) (-.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))) #s(literal 1 binary64)))
(+.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))) (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal -1 binary64)))
(+.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))) (*.f64 #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 #s(literal 1 binary64) a)))) #s(literal -1 binary64))))
(+.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))) (*.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))))))
(+.f64 (*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) a) a) (fma.f64 b (*.f64 b (fma.f64 b b (*.f64 a a))) (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64))) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))))
(+.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal -1 binary64)) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))))
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))))) (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))))
(+.f64 (*.f64 (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a))))) #s(literal 1 binary64)))
(+.f64 (+.f64 (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) (*.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (*.f64 (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 b #s(literal 4 binary64))))
(exp.f64 (log.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) (fma.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 #s(literal 4 binary64) (fma.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)))) #s(literal 1 binary64)))
(-.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) #s(literal 1 binary64))
(-.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal 1 binary64))))))
(-.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (fma.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) (fma.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))))) (-.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a))))) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)))) (/.f64 (*.f64 (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))) (-.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a))))) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)))))
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))))) (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal 1 binary64)))) (/.f64 #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 #s(literal 1 binary64) a)))) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))))))
(fma.f64 #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 #s(literal 1 binary64) a)))) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a))))) (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))) (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal -1 binary64)))
(fma.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) (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))) (*.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.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 #s(literal 4 binary64) (fma.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)))))))
(fma.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a))) (fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64))) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a 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 #s(literal 1 binary64) a)))) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)))
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(fma.f64 (*.f64 a b) b (*.f64 b (*.f64 b #s(literal 3 binary64))))
(fma.f64 (*.f64 b #s(literal 3 binary64)) b (*.f64 a (*.f64 b b)))
(/.f64 (fma.f64 #s(literal 27 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (fma.f64 (*.f64 b (*.f64 b #s(literal 3 binary64))) (*.f64 b (*.f64 b #s(literal 3 binary64))) (-.f64 (*.f64 (*.f64 a (*.f64 b b)) (*.f64 a (*.f64 b b))) (*.f64 (*.f64 b (*.f64 b #s(literal 3 binary64))) (*.f64 a (*.f64 b b))))))
(/.f64 (-.f64 (*.f64 (*.f64 b (*.f64 b #s(literal 3 binary64))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) (*.f64 (*.f64 a (*.f64 b b)) (*.f64 a (*.f64 b b)))) (-.f64 (*.f64 b (*.f64 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 (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 b b (*.f64 a a))) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (log.f64 (fma.f64 b b (*.f64 a a)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 b b (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 b b (*.f64 a a)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 b b (*.f64 a a))))
(pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))) #s(literal 1 binary64))
(pow.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (neg.f64 (fma.f64 b b (*.f64 a a)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 b b (*.f64 a a))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a))) #s(literal 1 binary64))
(*.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b)))) (*.f64 (+.f64 a b) (-.f64 a b)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b b (*.f64 a a)) (*.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 b b (*.f64 a a))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (fma.f64 b b (*.f64 a a))) #s(literal -1 binary64)))

eval291.0ms (2.5%)

Memory
23.0MiB live, 266.6MiB allocated
Compiler

Compiled 72 196 to 2 901 computations (96% saved)

prune212.0ms (1.8%)

Memory
1.4MiB live, 359.4MiB allocated
Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New1 517151 532
Fresh404
Picked325
Done000
Total1 524171 541
Accuracy
100.0%
Counts
1 541 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b))))))
73.7%
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (pow.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal -1/2 binary64)) #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))
99.0%
(-.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))
42.8%
(-.f64 (+.f64 (/.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)))) (*.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))
48.2%
#s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (*.f64 b (*.f64 b (*.f64 b b))))
70.5%
#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)))
69.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) (*.f64 b b)) #s(literal -1 binary64)))
51.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) #s(literal 12 binary64)) #s(literal -1 binary64)))
54.1%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal -1 binary64))))
69.3%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))
39.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
68.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) (*.f64 a a)) #s(literal -1 binary64)))
47.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
47.0%
#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)))
46.9%
#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)))
46.9%
#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))))
23.1%
#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)))
Compiler

Compiled 534 to 272 computations (49.1% saved)

simplify410.0ms (3.5%)

Memory
-15.8MiB live, 504.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal -1 binary64))
cost-diff0
(*.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 (*.f64 a a) (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal -1 binary64))))
cost-diff832
(fma.f64 (*.f64 a a) (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal -1 binary64)))
cost-diff0
#s(approx (+ (* b b) 12) (*.f64 b b))
cost-diff0
(*.f64 b b)
cost-diff0
(fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) (*.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) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) (*.f64 b b)) #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
16 706×lower-fma.f32
16 696×lower-fma.f64
4 550×lower-+.f32
4 548×lower-+.f64
4 168×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045421
065421
1139392
2339386
3824386
42054386
53571386
67578386
08057361
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
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) (*.f64 b b)) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) (*.f64 b b)) #s(literal -1 binary64))
(*.f64 b b)
b
#s(approx (+ (* b b) 12) (*.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 (*.f64 a a) (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 a a) (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal -1 binary64)))
(*.f64 a a)
a
(fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))
#s(literal -4 binary64)
#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
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) (*.f64 b b)) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) (*.f64 b b)) #s(literal -1 binary64))
(*.f64 b b)
b
#s(approx (+ (* b b) 12) (*.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 (*.f64 a a) (*.f64 a a) (fma.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 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) (*.f64 a a) (fma.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)
a
(fma.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 #s(literal -4 binary64) #s(literal 4 binary64)) #s(literal -1 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)
#s(literal 4 binary64)
#s(literal -1 binary64)

localize96.0ms (0.8%)

Memory
6.5MiB live, 165.9MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 a a)
accuracy99.9%
(fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal -1 binary64))
accuracy86.7%
(fma.f64 (*.f64 a a) (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal -1 binary64)))
accuracy69.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal -1 binary64))))
accuracy100.0%
(*.f64 b b)
accuracy99.9%
(fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) (*.f64 b b)) #s(literal -1 binary64))
accuracy70.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) (*.f64 b b)) #s(literal -1 binary64)))
accuracy53.1%
#s(approx (+ (* b b) 12) (*.f64 b b))
accuracy100.0%
(*.f64 a a)
accuracy99.8%
(*.f64 (*.f64 a a) (*.f64 a a))
accuracy47.0%
#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)))
accuracy70.5%
#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)))
accuracy48.2%
#s(approx (+ (* (* b b) (+ (* b b) 12)) -1) #s(literal -1 binary64))
accuracy99.8%
(*.f64 (*.f64 b b) #s(literal 3 binary64))
accuracy99.5%
(/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))
accuracy86.6%
(+.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)))))
accuracy48.2%
#s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64)))
Samples
51.0ms256×0valid
Compiler

Compiled 354 to 36 computations (89.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-mult: 15.0ms (44.6% of total)
ival-add: 10.0ms (29.7% of total)
ival-div: 3.0ms (8.9% of total)
ival-sub: 3.0ms (8.9% of total)
ival-pow2: 2.0ms (5.9% of total)
exact: 1.0ms (3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series20.0ms (0.2%)

Memory
-7.7MiB live, 31.2MiB allocated
Counts
19 → 348
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 #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) (*.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) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) (*.f64 b b)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) (*.f64 b b)) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) (*.f64 b b)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())
#s(alt #s(approx (+ (* b b) 12) (*.f64 b b)) (patch #s(approx (+ (* b b) 12) (*.f64 b b)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 a a) (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal -1 binary64))) (patch (fma.f64 (*.f64 a a) (*.f64 a a) (fma.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 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (*.f64 a a) (fma.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 (*.f64 a a) (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal -1 binary64)) (patch (fma.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>) () ())
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>) () ())) ())
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#s(alt (+ (* 3 (pow b 2)) (* a (+ a (pow b 2)))) (taylor 0 a) (#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 (+ (* 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) (+ 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 (* -1 (pow a 3)) (taylor inf a) (#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 (* (pow a 3) (- (/ 1 a) 1)) (taylor inf a) (#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 (* (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) (+ 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 (* (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) (+ 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 (* -1 (pow a 3)) (taylor -inf a) (#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 (* -1 (* (pow a 3) (- 1 (/ 1 a)))) (taylor -inf a) (#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 (* -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) (+ 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 (* -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) (+ 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 (* (pow a 2) (- 1 a)) (taylor 0 b) (#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 (+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a))) (taylor 0 b) (#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 (+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a))) (taylor 0 b) (#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 (+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a))) (taylor 0 b) (#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 (* (pow b 2) (+ 3 a)) (taylor inf b) (#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 (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) (taylor inf b) (#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 (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) (taylor inf b) (#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 (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) (taylor inf b) (#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 (* (pow b 2) (+ 3 a)) (taylor -inf b) (#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 (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) (taylor -inf b) (#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 (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) (taylor -inf b) (#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 (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2))))) (taylor -inf b) (#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 (/ 1 (pow b 2)) (taylor 0 a) (#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 (+ (* -1 (/ (pow a 2) (pow b 4))) (/ 1 (pow b 2))) (taylor 0 a) (#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 (+ (* (pow a 2) (- (/ (pow a 2) (pow b 6)) (/ 1 (pow b 4)))) (/ 1 (pow b 2))) (taylor 0 a) (#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 (+ (* (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))) (taylor 0 a) (#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 (/ 1 (pow a 2)) (taylor inf a) (#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 (/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2)) (taylor inf a) (#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 (/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2)) (taylor inf a) (#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 (/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2)) (taylor inf a) (#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 (/ 1 (pow a 2)) (taylor -inf a) (#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 (/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2)) (taylor -inf a) (#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 (/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2)) (taylor -inf a) (#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 (/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2)) (taylor -inf a) (#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 (/ 1 (pow a 2)) (taylor 0 b) (#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 (+ (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2))) (taylor 0 b) (#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 (+ (* (pow b 2) (- (/ (pow b 2) (pow a 6)) (/ 1 (pow a 4)))) (/ 1 (pow a 2))) (taylor 0 b) (#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 (+ (* (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))) (taylor 0 b) (#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 (/ 1 (pow b 2)) (taylor inf b) (#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 (/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2)) (taylor inf b) (#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 (/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2)) (taylor inf b) (#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 (/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2)) (taylor inf b) (#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 (/ 1 (pow b 2)) (taylor -inf b) (#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 (/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2)) (taylor -inf b) (#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 (/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2)) (taylor -inf b) (#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 (/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2)) (taylor -inf b) (#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 (* 3 (pow b 2)) (taylor 0 b) (#s(alt (*.f64 (*.f64 b b) #s(literal 3 binary64)) (patch (*.f64 (*.f64 b b) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow b 2)) (taylor 0 b) (#s(alt (*.f64 (*.f64 b b) #s(literal 3 binary64)) (patch (*.f64 (*.f64 b b) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow b 2)) (taylor 0 b) (#s(alt (*.f64 (*.f64 b b) #s(literal 3 binary64)) (patch (*.f64 (*.f64 b b) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow b 2)) (taylor 0 b) (#s(alt (*.f64 (*.f64 b b) #s(literal 3 binary64)) (patch (*.f64 (*.f64 b b) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow b 2)) (taylor inf b) (#s(alt (*.f64 (*.f64 b b) #s(literal 3 binary64)) (patch (*.f64 (*.f64 b b) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow b 2)) (taylor inf b) (#s(alt (*.f64 (*.f64 b b) #s(literal 3 binary64)) (patch (*.f64 (*.f64 b b) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow b 2)) (taylor inf b) (#s(alt (*.f64 (*.f64 b b) #s(literal 3 binary64)) (patch (*.f64 (*.f64 b b) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow b 2)) (taylor inf b) (#s(alt (*.f64 (*.f64 b b) #s(literal 3 binary64)) (patch (*.f64 (*.f64 b b) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow b 2)) (taylor -inf b) (#s(alt (*.f64 (*.f64 b b) #s(literal 3 binary64)) (patch (*.f64 (*.f64 b b) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow b 2)) (taylor -inf b) (#s(alt (*.f64 (*.f64 b b) #s(literal 3 binary64)) (patch (*.f64 (*.f64 b b) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow b 2)) (taylor -inf b) (#s(alt (*.f64 (*.f64 b b) #s(literal 3 binary64)) (patch (*.f64 (*.f64 b b) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (pow b 2)) (taylor -inf b) (#s(alt (*.f64 (*.f64 b b) #s(literal 3 binary64)) (patch (*.f64 (*.f64 b b) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
Calls

87 calls:

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

simplify411.0ms (3.5%)

Memory
2.9MiB live, 597.1MiB allocated
Algorithm
egg-herbie
Rules
20 576×lower-fma.f64
20 576×lower-fma.f32
4 472×lower-*.f64
4 472×lower-*.f32
4 446×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03015659
19085505
227315257
083104869
Stop Event
iter limit
node limit
Counts
348 → 348
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))))
-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))))
(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
(+ 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)))))
-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))))
(- (+ (* 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
(- (* 4 (pow a 2)) 1)
(- (* (pow a 2) (+ 4 (* -4 a))) 1)
(- (* (pow a 2) (+ 4 (* -4 a))) 1)
(* -4 (pow a 3))
(* (pow a 3) (- (* 4 (/ 1 a)) 4))
(* (pow a 3) (- (* 4 (/ 1 a)) (+ 4 (/ 1 (pow a 3)))))
(* (pow a 3) (- (* 4 (/ 1 a)) (+ 4 (/ 1 (pow a 3)))))
(* -4 (pow a 3))
(* -1 (* (pow a 3) (- 4 (* 4 (/ 1 a)))))
(* -1 (* (pow a 3) (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a)))))
(* -1 (* (pow a 3) (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a)))))
(* 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))
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))
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(pow b 2)
(*.f64 b b)
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(fma.f64 b b (*.f64 a a))
(+ (pow a 2) (pow b 2))
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(+ (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) (pow b 2))
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(pow b 2)
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(pow b 2)
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(pow a 4)
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(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
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(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
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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))))
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(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))))
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-1
#s(literal -1 binary64)
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(- (* (pow b 2) (+ 12 (pow b 2))) 1)
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(pow b 4)
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(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2)))))
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(pow b 4)
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(pow a 4)
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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)
(*.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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(* (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)
(*.f64 b (*.f64 b (*.f64 b b)))
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(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 a (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) a)) #s(literal 12 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 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) a)) #s(literal 12 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 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) a)) #s(literal 12 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 a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #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 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)) (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 a (*.f64 b (*.f64 b (*.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))) (+ (* 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 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)) (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 a (*.f64 b (*.f64 b (*.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))) (* 4 (/ (+ 3 a) (pow b 2))))))
(*.f64 (*.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 (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 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)) (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 a (*.f64 b (*.f64 b (*.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))) (+ (* 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 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)) (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 a (*.f64 b (*.f64 b (*.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 a (*.f64 a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))
(- (* (pow a 2) (+ 4 (* -4 a))) 1)
(fma.f64 a (*.f64 a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))
(* -4 (pow a 3))
(*.f64 a (*.f64 a (*.f64 a #s(literal -4 binary64))))
(* (pow a 3) (- (* 4 (/ 1 a)) 4))
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)))
(* (pow a 3) (- (* 4 (/ 1 a)) (+ 4 (/ 1 (pow a 3)))))
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 #s(literal -4 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a a))) a)))
(* (pow a 3) (- (* 4 (/ 1 a)) (+ 4 (/ 1 (pow a 3)))))
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 #s(literal -4 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a a))) a)))
(* -4 (pow a 3))
(*.f64 a (*.f64 a (*.f64 a #s(literal -4 binary64))))
(* -1 (* (pow a 3) (- 4 (* 4 (/ 1 a)))))
(*.f64 (*.f64 a (*.f64 a a)) (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)))
(* -1 (* (pow a 3) (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a)))))
(*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a a))) a)) (neg.f64 (*.f64 a (*.f64 a a))))
(* -1 (* (pow a 3) (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a)))))
(*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a a))) a)) (neg.f64 (*.f64 a (*.f64 a a))))
(* 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 (+ 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) (*.f64 a (fma.f64 b (/.f64 b (*.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))
(*.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 (neg.f64 a)) (fma.f64 a (/.f64 #s(literal -1 binary64) a) a))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a)))))
(*.f64 (neg.f64 a) (*.f64 (*.f64 a 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 (neg.f64 (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (neg.f64 b) (*.f64 (/.f64 (*.f64 b b) a) #s(literal -3 binary64))) 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)))
(/ 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) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 6 binary64))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 a (*.f64 b b)) #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) (*.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 (fma.f64 (neg.f64 a) (/.f64 a (*.f64 b b)) #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 b (/.f64 b (*.f64 a (neg.f64 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 b (/.f64 b (*.f64 a (neg.f64 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 b (/.f64 b (*.f64 a (neg.f64 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) (/.f64 (*.f64 b b) (pow.f64 a #s(literal 6 binary64))) (/.f64 (fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #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) (*.f64 b (fma.f64 b (/.f64 (*.f64 b b) (neg.f64 (pow.f64 a #s(literal 8 binary64)))) (/.f64 b (pow.f64 a #s(literal 6 binary64))))) (/.f64 (fma.f64 b (/.f64 b (*.f64 a (neg.f64 a))) #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 (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 1 binary64)) (/.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 (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 1 binary64)) (/.f64 (*.f64 a a) (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.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 (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 1 binary64)) (/.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 (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 a (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 1 binary64)) (/.f64 (*.f64 a a) (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 b b))
(* 3 (pow b 2))
(*.f64 b (*.f64 b #s(literal 3 binary64)))
(* 3 (pow b 2))
(*.f64 b (*.f64 b #s(literal 3 binary64)))
(* 3 (pow b 2))
(*.f64 b (*.f64 b #s(literal 3 binary64)))
(* 3 (pow b 2))
(*.f64 b (*.f64 b #s(literal 3 binary64)))
(* 3 (pow b 2))
(*.f64 b (*.f64 b #s(literal 3 binary64)))
(* 3 (pow b 2))
(*.f64 b (*.f64 b #s(literal 3 binary64)))
(* 3 (pow b 2))
(*.f64 b (*.f64 b #s(literal 3 binary64)))
(* 3 (pow b 2))
(*.f64 b (*.f64 b #s(literal 3 binary64)))
(* 3 (pow b 2))
(*.f64 b (*.f64 b #s(literal 3 binary64)))
(* 3 (pow b 2))
(*.f64 b (*.f64 b #s(literal 3 binary64)))
(* 3 (pow b 2))
(*.f64 b (*.f64 b #s(literal 3 binary64)))
(* 3 (pow b 2))
(*.f64 b (*.f64 b #s(literal 3 binary64)))

rewrite356.0ms (3%)

Memory
-4.6MiB live, 521.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 152×lower-*.f32
6 142×lower-*.f64
4 956×lower-fma.f32
4 946×lower-fma.f64
2 894×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045375
065369
1317340
22821340
08746309
Stop Event
iter limit
node limit
iter limit
Counts
19 → 406
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)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) (*.f64 b b)) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) (*.f64 b b)) #s(literal -1 binary64))
(*.f64 b b)
#s(approx (+ (* b b) 12) (*.f64 b b))
(fma.f64 (*.f64 a a) (*.f64 a a) (fma.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 (*.f64 a a) (*.f64 a a) (fma.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 #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))
Outputs
(+.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 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.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))))
(+.f64 (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 b b) (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)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (log.f64 (fma.f64 a a (*.f64 b b))) (*.f64 (log.f64 (fma.f64 a a (*.f64 b b))) #s(literal -1 binary64))))
(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 b b) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)))
(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 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))))
(neg.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal -1 binary64) (fma.f64 a a (*.f64 b b)))))
(neg.f64 (/.f64 (neg.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)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.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)) (fma.f64 a a (*.f64 b b))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))))))
(/.f64 (neg.f64 (fma.f64 a a (*.f64 b b))) (/.f64 #s(literal -1 binary64) (fma.f64 a a (*.f64 b b))))
(/.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a))))))
(/.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) (*.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))))) (*.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a))))))
(/.f64 (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (*.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a))))))
(/.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)))) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))))
(/.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))))
(/.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))))) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))))
(/.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))))) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a))))))
(/.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 (+.f64 a b) (-.f64 a b)))
(/.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))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 a a (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))
(/.f64 (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) (fma.f64 a a (*.f64 b b))) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))))
(/.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 a a (*.f64 b b))) (*.f64 (+.f64 a b) (-.f64 a b)))
(pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) #s(literal -2 binary64))
(pow.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) #s(literal 1 binary64))
(pow.f64 (neg.f64 (fma.f64 a a (*.f64 b b))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.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 (exp.f64 #s(literal 2 binary64)) (log.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 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) #s(literal 1 binary64))
(*.f64 (neg.f64 (fma.f64 a a (*.f64 b b))) (neg.f64 (fma.f64 a a (*.f64 b b))))
(*.f64 (neg.f64 (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 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a))))) #s(literal 2 binary64)))
(*.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)))
(*.f64 (/.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)) (neg.f64 (fma.f64 a a (*.f64 b b))))
(*.f64 (pow.f64 (neg.f64 (fma.f64 a a (*.f64 b b))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 a a (*.f64 b b)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fma.f64 a a (*.f64 b b))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a))))))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))))
(+.f64 (*.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 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64)))) (-.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) #s(literal 1 binary64)))
(+.f64 (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)))) #s(literal -1 binary64))
(+.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) (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(literal -1 binary64)))
(+.f64 #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))) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))))
(+.f64 (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(literal -1 binary64)) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))))
(-.f64 (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)))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (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 #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)))) (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)))))) (fma.f64 (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)))) (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)))) (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 #s(literal 1 binary64) (fma.f64 (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)))) (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)))) (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 (*.f64 (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)))) (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))))) (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 #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)))))
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (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(literal -1 binary64)))
(fma.f64 #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))) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) (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(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)))
(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 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b 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)))
(fma.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64))) #s(literal 4 binary64) (-.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) #s(literal 1 binary64)))
(fma.f64 (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)))) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (*.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) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64))) #s(literal -1 binary64)))
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(pow.f64 (/.f64 (-.f64 (fma.f64 a (*.f64 (*.f64 a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 a (*.f64 a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))))) #s(literal 1 binary64)) (*.f64 a (*.f64 (*.f64 a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))) (fma.f64 (*.f64 a (*.f64 a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))) (*.f64 a (*.f64 (*.f64 a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 a (*.f64 a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))))) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 a a) (*.f64 (*.f64 a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 a (*.f64 a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))) (*.f64 a (*.f64 (*.f64 a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 a (*.f64 a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a (*.f64 (*.f64 a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 a (*.f64 a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))))) #s(literal 1 binary64)) (*.f64 a (*.f64 (*.f64 a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))))))
(*.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #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)))
(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 (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 a a (*.f64 b b))))
(*.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 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))))) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (*.f64 a (*.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)))
(*.f64 b (*.f64 b #s(literal 3 binary64)))
(*.f64 (*.f64 b b) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (*.f64 b b))
(*.f64 (*.f64 b #s(literal 3 binary64)) b)

eval132.0ms (1.1%)

Memory
-9.5MiB live, 185.0MiB allocated
Compiler

Compiled 37 092 to 1 973 computations (94.7% saved)

prune131.0ms (1.1%)

Memory
32.3MiB live, 151.5MiB allocated
Pruning

18 alts after pruning (12 fresh and 6 done)

PrunedKeptTotal
New9886994
Fresh4610
Picked145
Done022
Total993181 011
Accuracy
100.0%
Counts
1 011 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b))))))
99.0%
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 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))
80.4%
(-.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))
48.2%
#s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (*.f64 b (*.f64 b (*.f64 b b))))
70.5%
#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)))
69.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) (*.f64 b b)) #s(literal -1 binary64)))
51.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) #s(literal 12 binary64)) #s(literal -1 binary64)))
69.3%
#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 (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))
54.1%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal -1 binary64))))
68.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (*.f64 a a) #s(approx (+ (* (* a a) (+ (* -4 a) 4)) -1) #s(literal -1 binary64))))
39.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
47.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
47.0%
#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)))
46.9%
#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)))
46.9%
#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))))
51.8%
#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) (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))))
23.1%
#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)))
50.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (* a a)) (+ (* (* a a) (+ (* -4 a) 4)) -1)) (*.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))))))))
Compiler

Compiled 440 to 237 computations (46.1% saved)

simplify628.0ms (5.3%)

Memory
-33.5MiB live, 454.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))
cost-diff0
(*.f64 a a)
cost-diff0
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #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 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))
cost-diff0
#s(approx (+ (* (* a a) (+ (* -4 a) 4)) -1) #s(literal -1 binary64))
cost-diff0
(*.f64 a a)
cost-diff0
(fma.f64 (*.f64 a a) (*.f64 a a) #s(approx (+ (* (* a a) (+ (* -4 a) 4)) -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) (fma.f64 (*.f64 a a) (*.f64 a a) #s(approx (+ (* (* a a) (+ (* -4 a) 4)) -1) #s(literal -1 binary64))))
cost-diff0
#s(approx (+ (* b b) 12) #s(literal 12 binary64))
cost-diff0
(*.f64 b b)
cost-diff0
(fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) #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) #s(approx (+ (* b b) 12) #s(literal 12 binary64)) #s(literal -1 binary64)))
cost-diff0
(*.f64 b #s(literal 12 binary64))
cost-diff0
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))
cost-diff0
#s(approx (+ (* (* b b) (+ (* b b) 12)) -1) (fma.f64 b (*.f64 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) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))))
cost-diff128
(+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (*.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)) (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 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))
cost-diff1088
(/.f64 (fma.f64 a a (*.f64 b b)) (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
cost-diff12224
(pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
Rules
22 870×lower-fma.f32
22 858×lower-fma.f64
3 678×lower-+.f32
3 674×lower-+.f64
3 606×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054481
080481
1168471
2376467
3809465
41921444
53291444
67072444
08215419
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 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 (fma.f64 a a (*.f64 b b)) (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (*.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)) (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(fma.f64 a a (*.f64 b b))
a
(*.f64 b b)
b
(pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 2 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(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) (+ (* b b) 12)) -1) (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))))
#s(approx (+ (* (* b b) (+ (* b b) 12)) -1) (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)))
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))
b
(*.f64 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 (*.f64 b b) #s(approx (+ (* b b) 12) #s(literal 12 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) #s(literal 12 binary64)) #s(literal -1 binary64))
(*.f64 b b)
b
#s(approx (+ (* b b) 12) #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 (*.f64 a a) (*.f64 a a) #s(approx (+ (* (* a a) (+ (* -4 a) 4)) -1) #s(literal -1 binary64))))
(fma.f64 (*.f64 a a) (*.f64 a a) #s(approx (+ (* (* a a) (+ (* -4 a) 4)) -1) #s(literal -1 binary64)))
(*.f64 a a)
a
#s(approx (+ (* (* a a) (+ (* -4 a) 4)) -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) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #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)
a
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))
(+.f64 a #s(literal -4 binary64))
#s(literal -4 binary64)
#s(literal 4 binary64)
#s(literal -1 binary64)
Outputs
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 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))
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (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(literal -1 binary64)))
(+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (*.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)) (*.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)) (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.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
(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) (fma.f64 a a (*.f64 b b)))
(pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 2 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(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) (+ (* b b) 12)) -1) (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))))
#s(approx (+ (* (* b b) (+ (* b b) 12)) -1) (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)))
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))
b
(*.f64 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 (*.f64 b b) #s(approx (+ (* b b) 12) #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 (+ (* b b) 12) #s(literal 12 binary64))) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) #s(literal 12 binary64)) #s(literal -1 binary64))
(fma.f64 b (*.f64 b #s(approx (+ (* b b) 12) #s(literal 12 binary64))) #s(literal -1 binary64))
(*.f64 b b)
b
#s(approx (+ (* b b) 12) #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 (*.f64 a a) (*.f64 a a) #s(approx (+ (* (* a a) (+ (* -4 a) 4)) -1) #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)) #s(approx (+ (* (* a a) (+ (* -4 a) 4)) -1) #s(literal -1 binary64))))
(fma.f64 (*.f64 a a) (*.f64 a a) #s(approx (+ (* (* a a) (+ (* -4 a) 4)) -1) #s(literal -1 binary64)))
(fma.f64 a (*.f64 a (*.f64 a a)) #s(approx (+ (* (* a a) (+ (* -4 a) 4)) -1) #s(literal -1 binary64)))
(*.f64 a a)
a
#s(approx (+ (* (* a a) (+ (* -4 a) 4)) -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) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #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)
a
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))
(+.f64 a #s(literal -4 binary64))
#s(literal -4 binary64)
#s(literal 4 binary64)
#s(literal -1 binary64)

localize245.0ms (2.1%)

Memory
18.9MiB live, 178.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 a #s(literal -4 binary64))
accuracy100.0%
(*.f64 a a)
accuracy99.9%
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))
accuracy69.4%
#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 (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))
accuracy100.0%
(*.f64 a a)
accuracy86.7%
(fma.f64 (*.f64 a a) (*.f64 a a) #s(approx (+ (* (* a a) (+ (* -4 a) 4)) -1) #s(literal -1 binary64)))
accuracy69.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (*.f64 a a) #s(approx (+ (* (* a a) (+ (* -4 a) 4)) -1) #s(literal -1 binary64))))
accuracy48.2%
#s(approx (+ (* (* a a) (+ (* -4 a) 4)) -1) #s(literal -1 binary64))
accuracy100.0%
(*.f64 b b)
accuracy99.9%
(fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) #s(literal 12 binary64)) #s(literal -1 binary64))
accuracy70.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) #s(literal 12 binary64)) #s(literal -1 binary64)))
accuracy50.0%
#s(approx (+ (* b b) 12) #s(literal 12 binary64))
accuracy100.0%
(*.f64 b #s(literal 12 binary64))
accuracy99.9%
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))
accuracy77.0%
#s(approx (+ (* (* b b) (+ (* b b) 12)) -1) (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)))
accuracy70.5%
#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) (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))))
accuracy99.7%
(pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
accuracy86.6%
(+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64)))))
accuracy51.2%
(pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64))
accuracy48.2%
#s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64)))
Samples
169.0ms256×0valid
Compiler

Compiled 398 to 47 computations (88.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 150.0ms
ival-pow: 108.0ms (71.8% of total)
ival-mult: 19.0ms (12.6% of total)
ival-add: 14.0ms (9.3% of total)
ival-pow2: 4.0ms (2.7% of total)
ival-sub: 3.0ms (2% of total)
ival-div: 1.0ms (0.7% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series74.0ms (0.6%)

Memory
-4.9MiB live, 39.3MiB allocated
Counts
22 → 384
Calls
Call 1
Inputs
#s(alt (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 a a (*.f64 b b)) (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (patch (/.f64 (fma.f64 a a (*.f64 b b)) (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 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)) (patch (-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 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)) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (*.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)) (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (*.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 #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) (fma.f64 b (*.f64 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) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))) (patch #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)) (patch (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 b #s(literal 12 binary64)) (patch (*.f64 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 (*.f64 b b) #s(approx (+ (* b b) 12) #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) #s(approx (+ (* b b) 12) #s(literal 12 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) #s(literal 12 binary64)) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) #s(literal 12 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())
#s(alt #s(approx (+ (* b b) 12) #s(literal 12 binary64)) (patch #s(approx (+ (* b b) 12) #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 (*.f64 a a) (*.f64 a a) #s(approx (+ (* (* a a) (+ (* -4 a) 4)) -1) #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 a a) (*.f64 a a) #s(approx (+ (* (* a a) (+ (* -4 a) 4)) -1) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 a a) (*.f64 a a) #s(approx (+ (* (* a a) (+ (* -4 a) 4)) -1) #s(literal -1 binary64))) (patch (fma.f64 (*.f64 a a) (*.f64 a a) #s(approx (+ (* (* a a) (+ (* -4 a) 4)) -1) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* a a) (+ (* -4 a) 4)) -1) #s(literal -1 binary64)) (patch #s(approx (+ (* (* a a) (+ (* -4 a) 4)) -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) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #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 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (patch (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 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 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) (patch (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 a #s(literal -4 binary64)) (patch (+.f64 a #s(literal -4 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (/ 1 (pow b 2)) (taylor 0 a) (#s(alt (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow a 2) (pow b 4))) (/ 1 (pow b 2))) (taylor 0 a) (#s(alt (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a 2) (- (/ (pow a 2) (pow b 6)) (/ 1 (pow b 4)))) (/ 1 (pow b 2))) (taylor 0 a) (#s(alt (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* (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))) (taylor 0 a) (#s(alt (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow a 2)) (taylor inf a) (#s(alt (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2)) (taylor inf a) (#s(alt (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2)) (taylor inf a) (#s(alt (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2)) (taylor inf a) (#s(alt (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow a 2)) (taylor -inf a) (#s(alt (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2)) (taylor -inf a) (#s(alt (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2)) (taylor -inf a) (#s(alt (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2)) (taylor -inf a) (#s(alt (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow a 2)) (taylor 0 b) (#s(alt (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2))) (taylor 0 b) (#s(alt (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow b 2) (- (/ (pow b 2) (pow a 6)) (/ 1 (pow a 4)))) (/ 1 (pow a 2))) (taylor 0 b) (#s(alt (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* (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))) (taylor 0 b) (#s(alt (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow b 2)) (taylor inf b) (#s(alt (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2)) (taylor inf b) (#s(alt (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2)) (taylor inf b) (#s(alt (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2)) (taylor inf b) (#s(alt (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow b 2)) (taylor -inf b) (#s(alt (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2)) (taylor -inf b) (#s(alt (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (+ (* (pow b 2) (- (* (pow b 2) (+ (* -5/16 (/ (pow b 2) (pow a 7))) (* 3/8 (/ 1 (pow a 5))))) (* 1/2 (/ 1 (pow a 3))))) (/ 1 a)) (taylor 0 b) (#s(alt (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) (patch (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 b) (taylor inf b) (#s(alt (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) (patch (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1/2 (/ (pow a 2) (pow b 2)))) b) (taylor inf b) (#s(alt (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) (patch (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow a 4)) (* 1/4 (pow a 4))) (pow b 4))) (* -1/2 (/ (pow a 2) (pow b 2))))) b) (taylor inf b) (#s(alt (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) (patch (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow a 4)) (* 1/4 (pow a 4))) (pow b 4))) (+ (* -1/2 (/ (+ (* 1/2 (* (pow a 2) (+ (* -1 (pow a 4)) (* 1/4 (pow a 4))))) (pow a 6)) (pow b 6))) (* -1/2 (/ (pow a 2) (pow b 2)))))) b) (taylor inf b) (#s(alt (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) (patch (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ -1 b) (taylor -inf b) (#s(alt (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) (patch (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (* -1/2 (/ (pow a 2) (pow b 2)))) b)) (taylor -inf b) (#s(alt (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) (patch (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow a 4)) (* 1/4 (pow a 4))) (pow b 4))) (* -1/2 (/ (pow a 2) (pow b 2))))) b)) (taylor -inf b) (#s(alt (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) (patch (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow a 4)) (* 1/4 (pow a 4))) (pow b 4))) (+ (* -1/2 (/ (+ (* 1/2 (* (pow a 2) (+ (* -1 (pow a 4)) (* 1/4 (pow a 4))))) (pow a 6)) (pow b 6))) (* -1/2 (/ (pow a 2) (pow b 2)))))) b)) (taylor -inf b) (#s(alt (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) (patch (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt -4 (taylor 0 a) (#s(alt (+.f64 a #s(literal -4 binary64)) (patch (+.f64 a #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (- a 4) (taylor 0 a) (#s(alt (+.f64 a #s(literal -4 binary64)) (patch (+.f64 a #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (- a 4) (taylor 0 a) (#s(alt (+.f64 a #s(literal -4 binary64)) (patch (+.f64 a #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (- a 4) (taylor 0 a) (#s(alt (+.f64 a #s(literal -4 binary64)) (patch (+.f64 a #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt a (taylor inf a) (#s(alt (+.f64 a #s(literal -4 binary64)) (patch (+.f64 a #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a (- 1 (* 4 (/ 1 a)))) (taylor inf a) (#s(alt (+.f64 a #s(literal -4 binary64)) (patch (+.f64 a #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a (- 1 (* 4 (/ 1 a)))) (taylor inf a) (#s(alt (+.f64 a #s(literal -4 binary64)) (patch (+.f64 a #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a (- 1 (* 4 (/ 1 a)))) (taylor inf a) (#s(alt (+.f64 a #s(literal -4 binary64)) (patch (+.f64 a #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt a (taylor -inf a) (#s(alt (+.f64 a #s(literal -4 binary64)) (patch (+.f64 a #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* 4 (/ 1 a)) 1))) (taylor -inf a) (#s(alt (+.f64 a #s(literal -4 binary64)) (patch (+.f64 a #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* 4 (/ 1 a)) 1))) (taylor -inf a) (#s(alt (+.f64 a #s(literal -4 binary64)) (patch (+.f64 a #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* 4 (/ 1 a)) 1))) (taylor -inf a) (#s(alt (+.f64 a #s(literal -4 binary64)) (patch (+.f64 a #s(literal -4 binary64)) #<representation binary64>) () ())) ())
Calls

96 calls:

TimeVariablePointExpression
49.0ms
b
@inf
(pow (+ (* a a) (* b b)) -1/2)
2.0ms
a
@inf
(pow (+ (* a a) (* b b)) -1/2)
0.0ms
a
@0
(pow (+ (* a a) (* b b)) -1/2)
0.0ms
b
@0
(pow (+ (* a a) (* b b)) -1/2)
0.0ms
b
@-inf
(* b 12)

simplify471.0ms (4%)

Memory
15.6MiB live, 844.6MiB allocated
Algorithm
egg-herbie
Rules
22 134×lower-fma.f64
22 134×lower-fma.f32
6 094×lower-+.f64
6 094×lower-+.f32
5 340×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04036264
111856096
236115874
080715438
Stop Event
iter limit
node limit
Counts
384 → 382
Calls
Call 1
Inputs
(/ 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))
(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)))))))
(- (+ (* 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))))
-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))))
(* 12 b)
(* 12 b)
(* 12 b)
(* 12 b)
(* 12 b)
(* 12 b)
(* 12 b)
(* 12 b)
(* 12 b)
(* 12 b)
(* 12 b)
(* 12 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))))
-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))))
(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
(+ 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))))
-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 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)
-1
(- (* 4 (pow a 2)) 1)
(- (* (pow a 2) (+ 4 (* -4 a))) 1)
(- (* (pow a 2) (+ 4 (* -4 a))) 1)
(* -4 (pow a 3))
(* (pow a 3) (- (* 4 (/ 1 a)) 4))
(* (pow a 3) (- (* 4 (/ 1 a)) (+ 4 (/ 1 (pow a 3)))))
(* (pow a 3) (- (* 4 (/ 1 a)) (+ 4 (/ 1 (pow a 3)))))
(* -4 (pow a 3))
(* -1 (* (pow a 3) (- 4 (* 4 (/ 1 a)))))
(* -1 (* (pow a 3) (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a)))))
(* -1 (* (pow a 3) (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) 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
(- (* 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))))
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))))
(* 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 b)
(+ (* -1/2 (/ (pow a 2) (pow b 3))) (/ 1 b))
(+ (* (pow a 2) (- (* 3/8 (/ (pow a 2) (pow b 5))) (* 1/2 (/ 1 (pow b 3))))) (/ 1 b))
(+ (* (pow a 2) (- (* (pow a 2) (+ (* -5/16 (/ (pow a 2) (pow b 7))) (* 3/8 (/ 1 (pow b 5))))) (* 1/2 (/ 1 (pow b 3))))) (/ 1 b))
(/ 1 a)
(/ (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))) a)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow b 4)) (* 1/4 (pow b 4))) (pow a 4))) (* -1/2 (/ (pow b 2) (pow a 2))))) a)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow b 4)) (* 1/4 (pow b 4))) (pow a 4))) (+ (* -1/2 (/ (+ (* 1/2 (* (pow b 2) (+ (* -1 (pow b 4)) (* 1/4 (pow b 4))))) (pow b 6)) (pow a 6))) (* -1/2 (/ (pow b 2) (pow a 2)))))) a)
(/ -1 a)
(* -1 (/ (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))) a))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow b 4)) (* 1/4 (pow b 4))) (pow a 4))) (* -1/2 (/ (pow b 2) (pow a 2))))) a))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow b 4)) (* 1/4 (pow b 4))) (pow a 4))) (+ (* -1/2 (/ (+ (* 1/2 (* (pow b 2) (+ (* -1 (pow b 4)) (* 1/4 (pow b 4))))) (pow b 6)) (pow a 6))) (* -1/2 (/ (pow b 2) (pow a 2)))))) a))
(/ 1 a)
(+ (* -1/2 (/ (pow b 2) (pow a 3))) (/ 1 a))
(+ (* (pow b 2) (- (* 3/8 (/ (pow b 2) (pow a 5))) (* 1/2 (/ 1 (pow a 3))))) (/ 1 a))
(+ (* (pow b 2) (- (* (pow b 2) (+ (* -5/16 (/ (pow b 2) (pow a 7))) (* 3/8 (/ 1 (pow a 5))))) (* 1/2 (/ 1 (pow a 3))))) (/ 1 a))
(/ 1 b)
(/ (+ 1 (* -1/2 (/ (pow a 2) (pow b 2)))) b)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow a 4)) (* 1/4 (pow a 4))) (pow b 4))) (* -1/2 (/ (pow a 2) (pow b 2))))) b)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow a 4)) (* 1/4 (pow a 4))) (pow b 4))) (+ (* -1/2 (/ (+ (* 1/2 (* (pow a 2) (+ (* -1 (pow a 4)) (* 1/4 (pow a 4))))) (pow a 6)) (pow b 6))) (* -1/2 (/ (pow a 2) (pow b 2)))))) b)
(/ -1 b)
(* -1 (/ (+ 1 (* -1/2 (/ (pow a 2) (pow b 2)))) b))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow a 4)) (* 1/4 (pow a 4))) (pow b 4))) (* -1/2 (/ (pow a 2) (pow b 2))))) b))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow a 4)) (* 1/4 (pow a 4))) (pow b 4))) (+ (* -1/2 (/ (+ (* 1/2 (* (pow a 2) (+ (* -1 (pow a 4)) (* 1/4 (pow a 4))))) (pow a 6)) (pow b 6))) (* -1/2 (/ (pow a 2) (pow b 2)))))) b))
-4
(- a 4)
(- a 4)
(- a 4)
a
(* a (- 1 (* 4 (/ 1 a))))
(* a (- 1 (* 4 (/ 1 a))))
(* a (- 1 (* 4 (/ 1 a))))
a
(* -1 (* a (- (* 4 (/ 1 a)) 1)))
(* -1 (* a (- (* 4 (/ 1 a)) 1)))
(* -1 (* a (- (* 4 (/ 1 a)) 1)))
Outputs
(/ 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 (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a))))) (*.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 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 b (neg.f64 (/.f64 b (*.f64 a a))) (-.f64 #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 (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a))))) (*.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 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 b (neg.f64 (/.f64 b (*.f64 a a))) (-.f64 #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) (/.f64 (*.f64 b b) (pow.f64 a #s(literal 6 binary64))) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #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) (*.f64 (*.f64 b b) (fma.f64 (neg.f64 b) (/.f64 b (pow.f64 a #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 6 binary64))))) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #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) (fma.f64 (neg.f64 a) (/.f64 a (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.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)))) (fma.f64 (neg.f64 a) (/.f64 a (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.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) (fma.f64 (neg.f64 a) (/.f64 a (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.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)))) (fma.f64 (neg.f64 a) (/.f64 a (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 b b))
(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 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.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 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.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 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a))))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
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(pow a 4)
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#s(literal -1 binary64)
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(* (pow b 2) (- 12 (/ 1 (pow b 2))))
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(pow a 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))))
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(pow b 4)
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#s(literal -1 binary64)
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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)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (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 a 2)
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(pow a 2)
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(pow a 2)
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#s(literal -1 binary64)
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(* (pow a 3) (- (* 4 (/ 1 a)) 4))
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(pow a 4)
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(pow a 4)
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(* (pow a 4) (- 1 (* 4 (/ 1 a))))
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(- (+ (* 4 (* (pow a 2) (- 1 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)
(*.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 a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)) (/.f64 (fma.f64 a #s(literal 4 binary64) #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 (*.f64 b (*.f64 b (*.f64 b b))) (+.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 a #s(literal 4 binary64) #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)))))) (/.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 (+.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 a #s(literal 4 binary64) #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)))))) (/.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 (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)) (/.f64 (fma.f64 a #s(literal 4 binary64) #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 (*.f64 b (*.f64 b (*.f64 b b))) (+.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 a #s(literal 4 binary64) #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)))))) (/.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 (+.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 a #s(literal 4 binary64) #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)))))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))
-1
#s(literal -1 binary64)
(- (* 4 (pow a 2)) 1)
(fma.f64 a (*.f64 a #s(literal 4 binary64)) #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 (*.f64 a 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))) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 1 binary64)))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) 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 (* 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)))
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 (*.f64 a a) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 1 binary64)))
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(*.f64 (*.f64 a a) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 1 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 (* -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)))
(* 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 (*.f64 a 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) (/.f64 #s(literal 1 binary64) a))))
(* -1 (pow a 3))
(neg.f64 (*.f64 a (*.f64 a 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)))))
(neg.f64 (*.f64 (*.f64 a (*.f64 a 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 (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))
(*.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)))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (* -1/2 (/ (pow a 2) (pow b 3))) (/ 1 b))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) b))
(+ (* (pow a 2) (- (* 3/8 (/ (pow a 2) (pow b 5))) (* 1/2 (/ 1 (pow b 3))))) (/ 1 b))
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (/.f64 #s(literal 3/8 binary64) (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) b))
(+ (* (pow a 2) (- (* (pow a 2) (+ (* -5/16 (/ (pow a 2) (pow b 7))) (* 3/8 (/ 1 (pow b 5))))) (* 1/2 (/ 1 (pow b 3))))) (/ 1 b))
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -5/16 binary64) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 7 binary64))) (/.f64 #s(literal 3/8 binary64) (pow.f64 b #s(literal 5 binary64)))) (/.f64 #s(literal -1/2 binary64) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) b))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))) a)
(/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal -1/2 binary64) #s(literal 1 binary64)) a)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow b 4)) (* 1/4 (pow b 4))) (pow a 4))) (* -1/2 (/ (pow b 2) (pow a 2))))) a)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal -3/4 binary64)) (*.f64 a (*.f64 a (*.f64 a a))))) #s(literal 1 binary64)) a)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow b 4)) (* 1/4 (pow b 4))) (pow a 4))) (+ (* -1/2 (/ (+ (* 1/2 (* (pow b 2) (+ (* -1 (pow b 4)) (* 1/4 (pow b 4))))) (pow b 6)) (pow a 6))) (* -1/2 (/ (pow b 2) (pow a 2)))))) a)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (/.f64 #s(literal -3/4 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 (fma.f64 (*.f64 b b) (*.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal -3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 a #s(literal 6 binary64))))) #s(literal 1 binary64)) a)
(/ -1 a)
(/.f64 #s(literal -1 binary64) a)
(* -1 (/ (+ 1 (* -1/2 (/ (pow b 2) (pow a 2)))) a))
(/.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (neg.f64 a))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow b 4)) (* 1/4 (pow b 4))) (pow a 4))) (* -1/2 (/ (pow b 2) (pow a 2))))) a))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal -3/4 binary64)) (*.f64 a (*.f64 a (*.f64 a a))))) #s(literal 1 binary64)) (neg.f64 a))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow b 4)) (* 1/4 (pow b 4))) (pow a 4))) (+ (* -1/2 (/ (+ (* 1/2 (* (pow b 2) (+ (* -1 (pow b 4)) (* 1/4 (pow b 4))))) (pow b 6)) (pow a 6))) (* -1/2 (/ (pow b 2) (pow a 2)))))) a))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (/.f64 #s(literal -3/4 binary64) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 (fma.f64 (*.f64 b b) (*.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal -3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 a #s(literal 6 binary64))))) #s(literal 1 binary64)) (neg.f64 a))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(+ (* -1/2 (/ (pow b 2) (pow a 3))) (/ 1 a))
(fma.f64 (/.f64 (*.f64 b b) (*.f64 a (*.f64 a a))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) a))
(+ (* (pow b 2) (- (* 3/8 (/ (pow b 2) (pow a 5))) (* 1/2 (/ 1 (pow a 3))))) (/ 1 a))
(fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) (/.f64 #s(literal 3/8 binary64) (pow.f64 a #s(literal 5 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) a))
(+ (* (pow b 2) (- (* (pow b 2) (+ (* -5/16 (/ (pow b 2) (pow a 7))) (* 3/8 (/ 1 (pow a 5))))) (* 1/2 (/ 1 (pow a 3))))) (/ 1 a))
(fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 #s(literal -5/16 binary64) (/.f64 (*.f64 b b) (pow.f64 a #s(literal 7 binary64))) (/.f64 #s(literal 3/8 binary64) (pow.f64 a #s(literal 5 binary64)))) (/.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) a))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ (+ 1 (* -1/2 (/ (pow a 2) (pow b 2)))) b)
(/.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) #s(literal -1/2 binary64) #s(literal 1 binary64)) b)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow a 4)) (* 1/4 (pow a 4))) (pow b 4))) (* -1/2 (/ (pow a 2) (pow b 2))))) b)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 a (*.f64 a (*.f64 a a))) (/.f64 #s(literal -3/4 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a a) (*.f64 b b))) #s(literal 1 binary64)) b)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow a 4)) (* 1/4 (pow a 4))) (pow b 4))) (+ (* -1/2 (/ (+ (* 1/2 (* (pow a 2) (+ (* -1 (pow a 4)) (* 1/4 (pow a 4))))) (pow a 6)) (pow b 6))) (* -1/2 (/ (pow a 2) (pow b 2)))))) b)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 a (/.f64 a (*.f64 b b)) (fma.f64 (*.f64 a (*.f64 a (*.f64 a a))) (/.f64 #s(literal -3/4 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal -3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 a #s(literal 6 binary64))) (pow.f64 b #s(literal 6 binary64))))) #s(literal 1 binary64)) b)
(/ -1 b)
(/.f64 #s(literal -1 binary64) b)
(* -1 (/ (+ 1 (* -1/2 (/ (pow a 2) (pow b 2)))) b))
(/.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (neg.f64 b))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow a 4)) (* 1/4 (pow a 4))) (pow b 4))) (* -1/2 (/ (pow a 2) (pow b 2))))) b))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 a (*.f64 a (*.f64 a a))) (/.f64 #s(literal -3/4 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a a) (*.f64 b b))) #s(literal 1 binary64)) (neg.f64 b))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow a 4)) (* 1/4 (pow a 4))) (pow b 4))) (+ (* -1/2 (/ (+ (* 1/2 (* (pow a 2) (+ (* -1 (pow a 4)) (* 1/4 (pow a 4))))) (pow a 6)) (pow b 6))) (* -1/2 (/ (pow a 2) (pow b 2)))))) b))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 a (/.f64 a (*.f64 b b)) (fma.f64 (*.f64 a (*.f64 a (*.f64 a a))) (/.f64 #s(literal -3/4 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) #s(literal -3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 a #s(literal 6 binary64))) (pow.f64 b #s(literal 6 binary64))))) #s(literal 1 binary64)) (neg.f64 b))
-4
#s(literal -4 binary64)
(- a 4)
(+.f64 a #s(literal -4 binary64))
(- a 4)
(+.f64 a #s(literal -4 binary64))
(- a 4)
(+.f64 a #s(literal -4 binary64))
a
(* a (- 1 (* 4 (/ 1 a))))
(fma.f64 a (/.f64 #s(literal -4 binary64) a) a)
(* a (- 1 (* 4 (/ 1 a))))
(fma.f64 a (/.f64 #s(literal -4 binary64) a) a)
(* a (- 1 (* 4 (/ 1 a))))
(fma.f64 a (/.f64 #s(literal -4 binary64) a) a)
a
(* -1 (* a (- (* 4 (/ 1 a)) 1)))
(fma.f64 a (/.f64 #s(literal -4 binary64) a) a)
(* -1 (* a (- (* 4 (/ 1 a)) 1)))
(fma.f64 a (/.f64 #s(literal -4 binary64) a) a)
(* -1 (* a (- (* 4 (/ 1 a)) 1)))
(fma.f64 a (/.f64 #s(literal -4 binary64) a) a)

rewrite357.0ms (3%)

Memory
-9.6MiB live, 540.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 636×lower-*.f32
6 626×lower-*.f64
5 498×lower-fma.f32
5 486×lower-fma.f64
3 020×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054422
080412
1397385
23340385
09722352
Stop Event
iter limit
node limit
iter limit
Counts
22 → 405
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 a a (*.f64 b b)) (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 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 (fma.f64 a a (*.f64 b b)) (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 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(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) (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))))
#s(approx (+ (* (* b b) (+ (* b b) 12)) -1) (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)))
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))
(*.f64 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 (*.f64 b b) #s(approx (+ (* b b) 12) #s(literal 12 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) #s(literal 12 binary64)) #s(literal -1 binary64))
(*.f64 b b)
#s(approx (+ (* b b) 12) #s(literal 12 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (*.f64 a a) #s(approx (+ (* (* a a) (+ (* -4 a) 4)) -1) #s(literal -1 binary64))))
(fma.f64 (*.f64 a a) (*.f64 a a) #s(approx (+ (* (* a a) (+ (* -4 a) 4)) -1) #s(literal -1 binary64)))
(*.f64 a a)
#s(approx (+ (* (* a a) (+ (* -4 a) 4)) -1) #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 (+.f64 a #s(literal -4 binary64)) #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))
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))
#s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64)))
(pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64))
(+.f64 a #s(literal -4 binary64))
Outputs
(exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 a a (*.f64 b b))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 a a (*.f64 b b))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (fma.f64 a a (*.f64 b b)))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 a a (*.f64 b b))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 a a (*.f64 b b))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(exp.f64 (neg.f64 (log.f64 (fma.f64 a a (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))
(pow.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))
(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 (*.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 -1/4 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 a a (*.f64 b b)))))
(*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))
(*.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -3/4 binary64)))
(*.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/4 binary64)) (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -3/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -3/4 binary64)) (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) #s(literal -1 binary64)) (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)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -3/4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))
(*.f64 (pow.f64 (neg.f64 (fma.f64 a a (*.f64 b b))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))) #s(literal -1/2 binary64)))
(+.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 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.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))))
(+.f64 (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 b b) (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)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (log.f64 (fma.f64 a a (*.f64 b b))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 a a (*.f64 b b)))))))
(exp.f64 (-.f64 (log.f64 (fma.f64 a a (*.f64 b b))) (*.f64 (log.f64 (fma.f64 a a (*.f64 b b))) #s(literal -1 binary64))))
(fma.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)))
(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 (*.f64 b b) (fma.f64 a a (*.f64 b b)) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))))
(fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))))
(neg.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))))
(neg.f64 (/.f64 (neg.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)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))))))
(/.f64 (neg.f64 (fma.f64 a a (*.f64 b b))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))))
(/.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a))))))
(/.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) (*.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))))) (*.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a))))))
(/.f64 (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (*.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a))))))
(/.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)))) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))))
(/.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))))
(/.f64 (*.f64 (fma.f64 a a (*.f64 b b)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 a a (*.f64 b b)))) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))))
(/.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))))) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))))
(/.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 (+.f64 a b) (-.f64 a b)))
(/.f64 (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) (fma.f64 a a (*.f64 b b))) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))))
(/.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 a a (*.f64 b b))) (*.f64 (+.f64 a b) (-.f64 a b)))
(/.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 3/2 binary64)) (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 2 binary64))
(pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal -4 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) #s(literal -2 binary64))
(pow.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) #s(literal 1 binary64))
(pow.f64 (neg.f64 (fma.f64 a a (*.f64 b b))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.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 (exp.f64 #s(literal 2 binary64)) (log.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 (neg.f64 (fma.f64 a a (*.f64 b b))) (neg.f64 (fma.f64 a a (*.f64 b b))))
(*.f64 (neg.f64 (fma.f64 a a (*.f64 b b))) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))))
(*.f64 (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a))))) #s(literal 2 binary64)))
(*.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)))
(*.f64 (sqrt.f64 (fma.f64 a a (*.f64 b b))) (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -3/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 (fma.f64 a a (*.f64 b b))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a))))))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))))
(+.f64 (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 b (*.f64 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 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 b (*.f64 b #s(literal 3 binary64))))) (-.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) #s(literal 1 binary64)))
(+.f64 (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) (*.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)) (fma.f64 a a (*.f64 b b))) (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))))
(+.f64 (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) #s(literal -1 binary64)) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))))
(-.f64 (fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))) #s(literal 1 binary64))
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(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (*.f64 a (+.f64 a #s(literal -4 binary64))) (fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (+.f64 a #s(literal -4 binary64)) (*.f64 a (*.f64 a a)) (fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(fma.f64 (*.f64 a (+.f64 a #s(literal -4 binary64))) (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 a (*.f64 a a)) (+.f64 a #s(literal -4 binary64)) (fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) a #s(literal -1 binary64))
(fma.f64 (*.f64 (*.f64 a (+.f64 a #s(literal -4 binary64))) a) a (fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 (*.f64 a a) (+.f64 a #s(literal -4 binary64))) a (fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)))
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(/.f64 (fma.f64 (*.f64 a a) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #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)))
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(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))))) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 a a) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))) #s(literal 1 binary64)) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 a a) #s(literal -1 binary64)))) (fma.f64 (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 a a) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 a a) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))) #s(literal 1 binary64)) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 a a) #s(literal -1 binary64))))))
(*.f64 (fma.f64 (*.f64 a a) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #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 #s(literal 4 binary64) (*.f64 a (+.f64 a #s(literal -4 binary64))))
(+.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))
(+.f64 (*.f64 a (+.f64 a #s(literal -4 binary64))) #s(literal 4 binary64))
(+.f64 (+.f64 #s(literal 4 binary64) (*.f64 a a)) (*.f64 a #s(literal -4 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (+.f64 a #s(literal -4 binary64)) (+.f64 a #s(literal -4 binary64)))) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))) (/.f64 #s(literal 16 binary64) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))))
(fma.f64 a a (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 #s(literal 1 binary64) (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))
(fma.f64 (*.f64 a a) #s(literal 1 binary64) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))
(fma.f64 (+.f64 a #s(literal -4 binary64)) a #s(literal 4 binary64))
(fma.f64 (neg.f64 a) (neg.f64 a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))
(fma.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 a a) (*.f64 (+.f64 a #s(literal -4 binary64)) (+.f64 a #s(literal -4 binary64))) #s(literal 16 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 a (+.f64 a #s(literal -4 binary64))))) (fma.f64 (*.f64 a (+.f64 a #s(literal -4 binary64))) (*.f64 (*.f64 a a) (*.f64 (+.f64 a #s(literal -4 binary64)) (+.f64 a #s(literal -4 binary64)))) #s(literal 64 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal -4 binary64)) (fma.f64 (*.f64 a a) (*.f64 (+.f64 a #s(literal -4 binary64)) (+.f64 a #s(literal -4 binary64))) #s(literal -16 binary64))))
(/.f64 (fma.f64 (*.f64 a (+.f64 a #s(literal -4 binary64))) (*.f64 (*.f64 a a) (*.f64 (+.f64 a #s(literal -4 binary64)) (+.f64 a #s(literal -4 binary64)))) #s(literal 64 binary64)) (-.f64 (fma.f64 (*.f64 a a) (*.f64 (+.f64 a #s(literal -4 binary64)) (+.f64 a #s(literal -4 binary64))) #s(literal 16 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 a (+.f64 a #s(literal -4 binary64))))))
(/.f64 (fma.f64 (*.f64 a (+.f64 a #s(literal -4 binary64))) (*.f64 (*.f64 a a) (*.f64 (+.f64 a #s(literal -4 binary64)) (+.f64 a #s(literal -4 binary64)))) #s(literal 64 binary64)) (+.f64 #s(literal 16 binary64) (-.f64 (*.f64 (*.f64 a a) (*.f64 (+.f64 a #s(literal -4 binary64)) (+.f64 a #s(literal -4 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 a (+.f64 a #s(literal -4 binary64)))))))
(/.f64 (fma.f64 (*.f64 a a) (*.f64 (+.f64 a #s(literal -4 binary64)) (+.f64 a #s(literal -4 binary64))) #s(literal -16 binary64)) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal -4 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 a (+.f64 a #s(literal -4 binary64))) (*.f64 (*.f64 a a) (*.f64 (+.f64 a #s(literal -4 binary64)) (+.f64 a #s(literal -4 binary64)))) #s(literal 64 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 a a) (*.f64 (+.f64 a #s(literal -4 binary64)) (+.f64 a #s(literal -4 binary64))) #s(literal 16 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 a (+.f64 a #s(literal -4 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 a a) (*.f64 (+.f64 a #s(literal -4 binary64)) (+.f64 a #s(literal -4 binary64))) #s(literal -16 binary64))) (neg.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))))
(/.f64 (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 a a) (*.f64 (+.f64 a #s(literal -4 binary64)) (+.f64 a #s(literal -4 binary64))))) (-.f64 #s(literal 4 binary64) (*.f64 a (+.f64 a #s(literal -4 binary64)))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 a a) (*.f64 (+.f64 a #s(literal -4 binary64)) (+.f64 a #s(literal -4 binary64))) #s(literal 16 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 a (+.f64 a #s(literal -4 binary64))))) (fma.f64 (*.f64 a (+.f64 a #s(literal -4 binary64))) (*.f64 (*.f64 a a) (*.f64 (+.f64 a #s(literal -4 binary64)) (+.f64 a #s(literal -4 binary64)))) #s(literal 64 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal -4 binary64)) (fma.f64 (*.f64 a a) (*.f64 (+.f64 a #s(literal -4 binary64)) (+.f64 a #s(literal -4 binary64))) #s(literal -16 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 a (+.f64 a #s(literal -4 binary64))) (*.f64 (*.f64 a a) (*.f64 (+.f64 a #s(literal -4 binary64)) (+.f64 a #s(literal -4 binary64)))) #s(literal 64 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 a a) (*.f64 (+.f64 a #s(literal -4 binary64)) (+.f64 a #s(literal -4 binary64))) #s(literal 16 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 a (+.f64 a #s(literal -4 binary64)))))))
(*.f64 (fma.f64 (*.f64 a a) (*.f64 (+.f64 a #s(literal -4 binary64)) (+.f64 a #s(literal -4 binary64))) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal -4 binary64))))
#s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 b (*.f64 b #s(literal 3 binary64))))
(exp.f64 (*.f64 #s(literal -1/2 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 -1/4 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 (fma.f64 a a (*.f64 b b)))) #s(literal 2 binary64)))
(pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) #s(literal -1/4 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (fma.f64 a a (*.f64 b b))))
(*.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a))))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 a a (*.f64 b b))) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 a a (*.f64 b b))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (fma.f64 a a (*.f64 b b))) #s(literal -1/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))) #s(literal -1/4 binary64)))
(+.f64 a #s(literal -4 binary64))
(+.f64 #s(literal -4 binary64) a)
(-.f64 (/.f64 (*.f64 a a) (+.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (+.f64 a #s(literal 4 binary64))))
(fma.f64 a #s(literal 1 binary64) #s(literal -4 binary64))
(fma.f64 #s(literal 1 binary64) a #s(literal -4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a a (+.f64 #s(literal 16 binary64) (*.f64 #s(literal 4 binary64) a))) (fma.f64 a (*.f64 a a) #s(literal -64 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 a #s(literal 4 binary64)) (fma.f64 a a #s(literal -16 binary64))))
(/.f64 (fma.f64 a (*.f64 a a) #s(literal -64 binary64)) (fma.f64 a a (+.f64 #s(literal 16 binary64) (*.f64 #s(literal 4 binary64) a))))
(/.f64 (fma.f64 a (*.f64 a a) #s(literal -64 binary64)) (+.f64 #s(literal 16 binary64) (-.f64 (*.f64 a a) (*.f64 a #s(literal -4 binary64)))))
(/.f64 (fma.f64 a a #s(literal -16 binary64)) (+.f64 a #s(literal 4 binary64)))
(/.f64 (neg.f64 (fma.f64 a (*.f64 a a) #s(literal -64 binary64))) (neg.f64 (fma.f64 a a (+.f64 #s(literal 16 binary64) (*.f64 #s(literal 4 binary64) a)))))
(/.f64 (neg.f64 (fma.f64 a a #s(literal -16 binary64))) (neg.f64 (+.f64 a #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 16 binary64) (*.f64 a a)) (-.f64 #s(literal -4 binary64) a))
(pow.f64 (/.f64 (fma.f64 a a (+.f64 #s(literal 16 binary64) (*.f64 #s(literal 4 binary64) a))) (fma.f64 a (*.f64 a a) #s(literal -64 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 a #s(literal 4 binary64)) (fma.f64 a a #s(literal -16 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 a (*.f64 a a) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (+.f64 #s(literal 16 binary64) (*.f64 #s(literal 4 binary64) a)))))
(*.f64 (fma.f64 a a #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 4 binary64))))

eval116.0ms (1%)

Memory
9.6MiB live, 154.3MiB allocated
Compiler

Compiled 32 486 to 1 884 computations (94.2% saved)

prune147.0ms (1.2%)

Memory
4.3MiB live, 167.9MiB allocated
Pruning

18 alts after pruning (10 fresh and 8 done)

PrunedKeptTotal
New8816887
Fresh347
Picked235
Done156
Total88718905
Accuracy
100.0%
Counts
905 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b))))))
80.4%
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (pow.f64 #s(approx (pow (+ (* a a) (* b b)) -1/2) (/.f64 #s(literal 1 binary64) b)) #s(literal 2 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))
80.4%
(-.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))
48.2%
#s(approx (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (*.f64 b (*.f64 b (*.f64 b b))))
69.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (*.f64 a (+.f64 a #s(literal -4 binary64))) a) a (fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))))
70.5%
#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)))
69.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) (*.f64 b b)) #s(literal -1 binary64)))
51.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) #s(literal 12 binary64)) #s(literal -1 binary64)))
69.3%
#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 (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))
39.4%
#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 #s(approx (+ a -4) #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))
68.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (*.f64 a a) #s(approx (+ (* (* a a) (+ (* -4 a) 4)) -1) #s(literal -1 binary64))))
47.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a (+ a -4)) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
47.0%
#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)))
69.3%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+.f64 (*.f64 (*.f64 a a) (*.f64 a (+.f64 a #s(literal -4 binary64)))) (fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))))
46.9%
#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)))
46.9%
#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))))
30.1%
#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(approx (+ (* b (* b 12)) -1) (*.f64 b (*.f64 b #s(literal 12 binary64))))))
23.1%
#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)))
Compiler

Compiled 919 to 257 computations (72% saved)

regimes54.0ms (0.5%)

Memory
-3.4MiB live, 38.1MiB allocated
Counts
37 → 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) (+ (* b b) 12)) -1) #s(approx (+ (* b (* b 12)) -1) (*.f64 b (*.f64 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) (fma.f64 b (*.f64 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 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) #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) #s(approx (+ (* a (+ a -4)) 4) #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) #s(approx (+ (* b b) 12) #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))))
#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 (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -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) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) (*.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 (*.f64 a a) (*.f64 a a) #s(approx (+ (* (* a a) (+ (* -4 a) 4)) -1) #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) #s(approx (+ (* b b) 12) (*.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 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) (fma.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) (fma.f64 (*.f64 a a) (fma.f64 a #s(approx (+ a -4) #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) (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) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) (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) (fma.f64 (*.f64 a 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) (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 (*.f64 a (+.f64 a #s(literal -4 binary64))) a) a (fma.f64 a (*.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 (*.f64 (*.f64 a a) (*.f64 a (+.f64 a #s(literal -4 binary64)))) (fma.f64 a (*.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 a a) (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b))))))
(-.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 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 (/.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) #s(approx (+ (* (* a a) (* a a)) (+ (* (* a a) (+ (* -4 a) 4)) -1)) (*.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))))))))
(/.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))
#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)))
(-.f64 (+.f64 (/.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)))) (*.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 (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 (/.f64 (fma.f64 a a (*.f64 b b)) (pow.f64 #s(approx (pow (+ (* a a) (* b b)) -1/2) (/.f64 #s(literal 1 binary64) b)) #s(literal 2 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))
(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)))
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 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)) (pow.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal -1/2 binary64)) #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 (/.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

5 calls:

15.0ms
b
10.0ms
a
9.0ms
(*.f64 b b)
9.0ms
(+.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)))))
8.0ms
(-.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
99.0%1a
99.0%1b
99.0%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))
99.0%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)))))
99.0%1(*.f64 b b)
Compiler

Compiled 71 to 42 computations (40.8% saved)

regimes35.0ms (0.3%)

Memory
28.8MiB live, 28.8MiB allocated
Counts
26 → 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) (+ (* b b) 12)) -1) #s(approx (+ (* b (* b 12)) -1) (*.f64 b (*.f64 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) (fma.f64 b (*.f64 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 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) #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) #s(approx (+ (* a (+ a -4)) 4) #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) #s(approx (+ (* b b) 12) #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))))
#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 (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -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) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) (*.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 (*.f64 a a) (*.f64 a a) #s(approx (+ (* (* a a) (+ (* -4 a) 4)) -1) #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) #s(approx (+ (* b b) 12) (*.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 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) (fma.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) (fma.f64 (*.f64 a a) (fma.f64 a #s(approx (+ a -4) #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) (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) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) (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) (fma.f64 (*.f64 a 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) (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 (*.f64 a (+.f64 a #s(literal -4 binary64))) a) a (fma.f64 a (*.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 (*.f64 (*.f64 a a) (*.f64 a (+.f64 a #s(literal -4 binary64)))) (fma.f64 a (*.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 a a) (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b))))))
(-.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 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))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (*.f64 a (+.f64 a #s(literal -4 binary64))) a) a (fma.f64 a (*.f64 a #s(literal 4 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))
Calls

5 calls:

7.0ms
b
7.0ms
a
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
94.9%3a
99.7%2b
85.2%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))
85.2%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)))))
99.7%2(*.f64 b b)
Compiler

Compiled 71 to 42 computations (40.8% saved)

regimes20.0ms (0.2%)

Memory
-23.6MiB live, 13.1MiB allocated
Counts
25 → 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) (+ (* b b) 12)) -1) #s(approx (+ (* b (* b 12)) -1) (*.f64 b (*.f64 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) (fma.f64 b (*.f64 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 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) #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) #s(approx (+ (* a (+ a -4)) 4) #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) #s(approx (+ (* b b) 12) #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))))
#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 (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -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) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) (*.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 (*.f64 a a) (*.f64 a a) #s(approx (+ (* (* a a) (+ (* -4 a) 4)) -1) #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) #s(approx (+ (* b b) 12) (*.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 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) (fma.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) (fma.f64 (*.f64 a a) (fma.f64 a #s(approx (+ a -4) #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) (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) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) (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) (fma.f64 (*.f64 a 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) (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 (*.f64 a (+.f64 a #s(literal -4 binary64))) a) a (fma.f64 a (*.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 (*.f64 (*.f64 a a) (*.f64 a (+.f64 a #s(literal -4 binary64)))) (fma.f64 a (*.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 a a) (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 b (*.f64 b (*.f64 b b))))))
(-.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))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (*.f64 a (+.f64 a #s(literal -4 binary64))) a) a (fma.f64 a (*.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 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
Calls

2 calls:

11.0ms
(*.f64 b b)
7.0ms
b
Results
AccuracySegmentsBranch
95.6%2b
95.6%2(*.f64 b b)
Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes12.0ms (0.1%)

Memory
10.5MiB live, 10.5MiB allocated
Counts
20 → 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) (+ (* b b) 12)) -1) #s(approx (+ (* b (* b 12)) -1) (*.f64 b (*.f64 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) (fma.f64 b (*.f64 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 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) #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) #s(approx (+ (* a (+ a -4)) 4) #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) #s(approx (+ (* b b) 12) #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))))
#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 (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -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) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) (*.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 (*.f64 a a) (*.f64 a a) #s(approx (+ (* (* a a) (+ (* -4 a) 4)) -1) #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) #s(approx (+ (* b b) 12) (*.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 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) (fma.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) (fma.f64 (*.f64 a a) (fma.f64 a #s(approx (+ a -4) #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) (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) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) (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) (fma.f64 (*.f64 a 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) (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)))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) (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) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
Calls

2 calls:

6.0ms
b
5.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
95.6%2b
95.6%2(*.f64 b b)
Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes11.0ms (0.1%)

Memory
9.5MiB live, 9.5MiB allocated
Counts
17 → 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) (+ (* b b) 12)) -1) #s(approx (+ (* b (* b 12)) -1) (*.f64 b (*.f64 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) (fma.f64 b (*.f64 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 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) #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) #s(approx (+ (* a (+ a -4)) 4) #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) #s(approx (+ (* b b) 12) #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))))
#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 (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -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) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) (*.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 (*.f64 a a) (*.f64 a a) #s(approx (+ (* (* a a) (+ (* -4 a) 4)) -1) #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) #s(approx (+ (* b b) 12) (*.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 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) (fma.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) (fma.f64 (*.f64 a a) (fma.f64 a #s(approx (+ a -4) #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) (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
(-.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) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
Calls

2 calls:

5.0ms
b
5.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
94.8%2b
94.8%2(*.f64 b b)
Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes14.0ms (0.1%)

Memory
-28.5MiB live, 9.1MiB allocated
Counts
16 → 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) (+ (* b b) 12)) -1) #s(approx (+ (* b (* b 12)) -1) (*.f64 b (*.f64 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) (fma.f64 b (*.f64 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 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) #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) #s(approx (+ (* a (+ a -4)) 4) #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) #s(approx (+ (* b b) 12) #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))))
#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 (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -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) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) (*.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 (*.f64 a a) (*.f64 a a) #s(approx (+ (* (* a a) (+ (* -4 a) 4)) -1) #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) #s(approx (+ (* b b) 12) (*.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 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) (fma.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) (fma.f64 (*.f64 a a) (fma.f64 a #s(approx (+ a -4) #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) (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) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) (*.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 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
Calls

2 calls:

5.0ms
b
4.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
94.7%2b
94.7%2(*.f64 b b)
Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes10.0ms (0.1%)

Memory
9.0MiB live, 9.0MiB allocated
Counts
15 → 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) (+ (* b b) 12)) -1) #s(approx (+ (* b (* b 12)) -1) (*.f64 b (*.f64 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) (fma.f64 b (*.f64 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 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) #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) #s(approx (+ (* a (+ a -4)) 4) #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) #s(approx (+ (* b b) 12) #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))))
#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 (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -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) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) (*.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 (*.f64 a a) (*.f64 a a) #s(approx (+ (* (* a a) (+ (* -4 a) 4)) -1) #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) #s(approx (+ (* b b) 12) (*.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 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) (fma.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) (fma.f64 (*.f64 a a) (fma.f64 a #s(approx (+ a -4) #s(literal -4 binary64)) #s(literal 4 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 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) (*.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) (*.f64 b (*.f64 b (*.f64 b b))))
Calls

2 calls:

5.0ms
b
4.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
94.3%2b
94.3%2(*.f64 b b)
Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes17.0ms (0.1%)

Memory
16.0MiB live, 16.0MiB allocated
Counts
10 → 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) (+ (* b b) 12)) -1) #s(approx (+ (* b (* b 12)) -1) (*.f64 b (*.f64 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) (fma.f64 b (*.f64 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 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) #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) #s(approx (+ (* a (+ a -4)) 4) #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) #s(approx (+ (* b b) 12) #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))))
#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 (/ 1 (/ 1 (+ (* 4 (+ (* a (* a (- 1 a))) (* b (* b (+ a 3))))) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (*.f64 b (*.f64 b (*.f64 b b))))
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) (+ (* b b) 12)) -1) (fma.f64 b (*.f64 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

5 calls:

3.0ms
b
3.0ms
a
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
(*.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
80.4%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))
80.4%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)))))
83.5%3a
81.2%2b
81.2%2(*.f64 b b)
Compiler

Compiled 71 to 42 computations (40.8% saved)

regimes12.0ms (0.1%)

Memory
12.8MiB live, 12.8MiB allocated
Counts
6 → 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) (+ (* b b) 12)) -1) #s(approx (+ (* b (* b 12)) -1) (*.f64 b (*.f64 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) (fma.f64 b (*.f64 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 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) #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) #s(approx (+ (* a (+ a -4)) 4) #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) #s(approx (+ (* b b) 12) #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) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) #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) (+ (* b b) 12)) -1) #s(approx (+ (* b (* b 12)) -1) (*.f64 b (*.f64 b #s(literal 12 binary64))))))
Calls

5 calls:

2.0ms
b
2.0ms
a
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
(-.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
56.2%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))
56.2%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)))))
69.0%2b
69.0%2(*.f64 b b)
69.2%3a
Compiler

Compiled 71 to 42 computations (40.8% saved)

regimes12.0ms (0.1%)

Memory
-27.4MiB live, 10.8MiB allocated
Counts
3 → 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) (+ (* b b) 12)) -1) #s(approx (+ (* b (* b 12)) -1) (*.f64 b (*.f64 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) (fma.f64 b (*.f64 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) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))))
Calls

5 calls:

5.0ms
(*.f64 b b)
2.0ms
b
2.0ms
a
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
(-.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
51.8%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))
51.8%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)))))
51.8%1a
51.8%1b
51.8%1(*.f64 b b)
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) (+ (* b b) 12)) -1) #s(approx (+ (* b (* b 12)) -1) (*.f64 b (*.f64 b #s(literal 12 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)))
#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(approx (+ (* b (* b 12)) -1) (*.f64 b (*.f64 b #s(literal 12 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
b
1.0ms
a
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
40.9%3a
51.7%2b
51.7%2(*.f64 b b)
52.0%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))
52.0%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)

regimes6.0ms (0.1%)

Memory
8.7MiB live, 8.7MiB 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
(-.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
b
1.0ms
a
1.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
23.1%1a
23.1%1b
23.1%1(*.f64 b b)
23.1%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))
23.1%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)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
29.628241345483836
172.57576327112076
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
29.628241345483836
172.57576327112076
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
29.628241345483836
172.57576327112076
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
29.628241345483836
172.57576327112076
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
29.628241345483836
172.57576327112076
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
29.628241345483836
172.57576327112076
Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch35.0ms (0.3%)

Memory
-46.8MiB live, 17.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
8.343893554403286e+24
1.654379583090307e+25
13.0ms
-17640903577508182.0
-78387207135008.05
Samples
14.0ms176×0valid
Compiler

Compiled 276 to 165 computations (40.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 5.0ms (48.2% of total)
ival-add: 3.0ms (28.9% of total)
ival-pow2: 2.0ms (19.3% of total)
ival-sub: 1.0ms (9.6% 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
8.359651968174305e+300
6.900909725742039e+304
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
0.00010867249318387179
31853.303227863365
Compiler

Compiled 34 to 24 computations (29.4% saved)

simplify13.0ms (0.1%)

Memory
10.1MiB live, 10.1MiB allocated
Algorithm
egg-herbie
Rules
32×*-commutative_binary64
30×+-commutative_binary64
12×sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01131050
11431050
21511050
31621050
41631050
Stop Event
saturated
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))
(if (<=.f64 (*.f64 b b) #s(literal 50 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (*.f64 a (+.f64 a #s(literal -4 binary64))) a) a (fma.f64 a (*.f64 a #s(literal 4 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)))
(if (<=.f64 (*.f64 b b) #s(literal 50 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (*.f64 a (+.f64 a #s(literal -4 binary64))) a) a (fma.f64 a (*.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 b b #s(literal 12 binary64)) #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 50 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) (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) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 50 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) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 50 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) (*.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 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 50 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) (*.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) (*.f64 b (*.f64 b (*.f64 b b)))))
(if (<=.f64 a #s(literal -90000000000000 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 8499999999999999588958208 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) (fma.f64 b (*.f64 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 (*.f64 b b) #s(literal 10000000000000000525047602552044202487044685811081591549158541155118024579889081957863713750804478640437044438328838781769425232353604305756447921847867069828483872009265758037378302337947880900593689532349707999450811190389676408800746527427801424945792587888200568428381156694721963868654594005401600 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) #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) (+ (* b b) 12)) -1) #s(approx (+ (* b (* b 12)) -1) (*.f64 b (*.f64 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) (fma.f64 b (*.f64 b #s(literal 12 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 7378697629483821/36893488147419103232 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) (+ (* b b) 12)) -1) #s(approx (+ (* b (* b 12)) -1) (*.f64 b (*.f64 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)))
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))
(+.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 50 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (*.f64 a (+.f64 a #s(literal -4 binary64))) a) a (fma.f64 a (*.f64 a #s(literal 4 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)))
(if (<=.f64 (*.f64 b b) #s(literal 50 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a (*.f64 a (+.f64 a #s(literal -4 binary64)))) a (fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)))) (+.f64 #s(literal -1 binary64) (+.f64 (*.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) #s(approx (+ (* a a) (* b b)) (*.f64 b b)))))))
(if (<=.f64 (*.f64 b b) #s(literal 50 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (*.f64 a (+.f64 a #s(literal -4 binary64))) a) a (fma.f64 a (*.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 b b #s(literal 12 binary64)) #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 50 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a (*.f64 a (+.f64 a #s(literal -4 binary64)))) a (fma.f64 a (*.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 b b #s(literal 12 binary64)) #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 50 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) (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) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 50 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) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 50 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))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 50 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) (*.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 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 50 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) (*.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) (*.f64 b (*.f64 b (*.f64 b b)))))
(if (<=.f64 a #s(literal -90000000000000 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 8499999999999999588958208 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) (fma.f64 b (*.f64 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 (*.f64 b b) #s(literal 10000000000000000525047602552044202487044685811081591549158541155118024579889081957863713750804478640437044438328838781769425232353604305756447921847867069828483872009265758037378302337947880900593689532349707999450811190389676408800746527427801424945792587888200568428381156694721963868654594005401600 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* 4 (neg a)) 4)) #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) (+ (* b b) 12)) -1) #s(approx (+ (* b (* b 12)) -1) (*.f64 b (*.f64 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) (fma.f64 b (*.f64 b #s(literal 12 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 7378697629483821/36893488147419103232 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) (+ (* b b) 12)) -1) #s(approx (+ (* b (* b 12)) -1) (*.f64 b (*.f64 b #s(literal 12 binary64)))))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) #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 7378697629483821/36893488147419103232 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) (+ (* b b) 12)) -1) #s(approx (+ (* b (* b 12)) -1) (*.f64 b (*.f64 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 (10.5%)

Memory
2.6MiB live, 242.2MiB allocated
Rules
22 134×lower-fma.f64
22 134×lower-fma.f32
20 576×lower-fma.f64
20 576×lower-fma.f32
19 992×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03015659
19085505
227315257
083104869
04036264
111856096
236115874
080715438
04288400
113478177
245257894
081407316
01894
03094
114094
2125194
0829981
054422
080412
1397385
23340385
09722352
01912222
15992169
218452105
357612012
084751830
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 770 to 353 computations (54.2% saved)

preprocess60.0ms (0.5%)

Memory
17.2MiB live, 56.3MiB allocated
Remove

(abs b)

Compiler

Compiled 888 to 274 computations (69.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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